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Geant4/processes/electromagnetic/utils/src/G4EmCorrections.cc

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Diff markup

Differences between /processes/electromagnetic/utils/src/G4EmCorrections.cc (Version 11.3.0) and /processes/electromagnetic/utils/src/G4EmCorrections.cc (Version 10.2.p3)


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 25 //                                                 25 //
                                                   >>  26 // $Id: G4EmCorrections.cc 93566 2015-10-26 14:50:09Z gcosmo $
 26 //                                                 27 //
 27 // -------------------------------------------     28 // -------------------------------------------------------------------
 28 //                                                 29 //
 29 // GEANT4 Class                                    30 // GEANT4 Class 
 30 //                                                 31 //
 31 // File name:     G4EmCorrections                  32 // File name:     G4EmCorrections
 32 //                                                 33 //
 33 // Author:        Vladimir Ivanchenko              34 // Author:        Vladimir Ivanchenko
 34 //                                                 35 //
 35 // Creation date: 13.01.2005                       36 // Creation date: 13.01.2005
 36 //                                                 37 //
 37 // Modifications:                                  38 // Modifications:
 38 // 05.05.2005 V.Ivanchenko Fix misprint in Mot     39 // 05.05.2005 V.Ivanchenko Fix misprint in Mott term
 39 // 26.11.2005 V.Ivanchenko Fix effective charg     40 // 26.11.2005 V.Ivanchenko Fix effective charge for heavy ions using original paper
 40 // 28.04.2006 V.Ivanchenko General cleanup, ad     41 // 28.04.2006 V.Ivanchenko General cleanup, add finite size corrections
 41 // 13.05.2006 V.Ivanchenko Add corrections for     42 // 13.05.2006 V.Ivanchenko Add corrections for ion stopping
 42 // 08.05.2007 V.Ivanchenko Use G4IonTable for      43 // 08.05.2007 V.Ivanchenko Use G4IonTable for ion mass instead of NistTable to avoid
 43 //                         division by zero        44 //                         division by zero
 44 // 29.02.2008 V.Ivanchenko use expantions for      45 // 29.02.2008 V.Ivanchenko use expantions for log and power function
 45 // 21.04.2008 Updated computations for ions (V     46 // 21.04.2008 Updated computations for ions (V.Ivanchenko)
 46 // 20.05.2008 Removed Finite Size correction (     47 // 20.05.2008 Removed Finite Size correction (V.Ivanchenko)
 47 // 19.04.2012 Fix reproducibility problem (A.R     48 // 19.04.2012 Fix reproducibility problem (A.Ribon)
 48 //                                                 49 //
 49 //                                                 50 //
 50 // Class Description:                              51 // Class Description:
 51 //                                                 52 //
 52 // This class provides calculation of EM corre     53 // This class provides calculation of EM corrections to ionisation
 53 //                                                 54 //
 54                                                    55 
 55 // -------------------------------------------     56 // -------------------------------------------------------------------
 56 //                                                 57 //
 57                                                    58 
 58 #include "G4EmCorrections.hh"                      59 #include "G4EmCorrections.hh"
                                                   >>  60 #include "Randomize.hh"
 59 #include "G4PhysicalConstants.hh"                  61 #include "G4PhysicalConstants.hh"
 60 #include "G4SystemOfUnits.hh"                      62 #include "G4SystemOfUnits.hh"
 61 #include "G4ParticleTable.hh"                      63 #include "G4ParticleTable.hh"
 62 #include "G4IonTable.hh"                           64 #include "G4IonTable.hh"
 63 #include "G4VEmModel.hh"                           65 #include "G4VEmModel.hh"
 64 #include "G4Proton.hh"                             66 #include "G4Proton.hh"
 65 #include "G4GenericIon.hh"                         67 #include "G4GenericIon.hh"
                                                   >>  68 #include "G4LPhysicsFreeVector.hh"
 66 #include "G4PhysicsLogVector.hh"                   69 #include "G4PhysicsLogVector.hh"
 67 #include "G4ProductionCutsTable.hh"                70 #include "G4ProductionCutsTable.hh"
 68 #include "G4MaterialCutsCouple.hh"                 71 #include "G4MaterialCutsCouple.hh"
 69 #include "G4AtomicShells.hh"                       72 #include "G4AtomicShells.hh"
                                                   >>  73 #include "G4LPhysicsFreeVector.hh"
 70 #include "G4Log.hh"                                74 #include "G4Log.hh"
 71 #include "G4Exp.hh"                                75 #include "G4Exp.hh"
 72 #include "G4Pow.hh"                                76 #include "G4Pow.hh"
 73                                                    77 
 74 //....oooOO0OOooo........oooOO0OOooo........oo     78 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 75                                                    79 
 76 namespace                                      <<  80 const G4double G4EmCorrections::inveplus = 1.0/CLHEP::eplus;
 77 {                                              <<  81 static const G4double twoln10 = 2.0*G4Log(10.0);
 78   constexpr G4double inveplus = 1.0/CLHEP::epl << 
 79   constexpr G4double alpha2 = CLHEP::fine_stru << 
 80 }                                              << 
 81 const G4double G4EmCorrections::ZD[11] =       << 
 82     {0., 0., 0., 1.72, 2.09, 2.48, 2.82, 3.16, << 
 83 const G4double G4EmCorrections::UK[20] = {1.99 << 
 84                            2.0817, 2.0945, 2.0 << 
 85                            2.1197, 2.1246, 2.1 << 
 86                            2.1310, 2.1310, 2.1 << 
 87 const G4double G4EmCorrections::VK[20] = {8.34 << 
 88                            8.3219, 8.3201, 8.3 << 
 89                            8.3191, 8.3199, 8.3 << 
 90                            8.3244, 8.3264, 8.3 << 
 91 G4double G4EmCorrections::ZK[] = {0.0};        << 
 92 const G4double G4EmCorrections::Eta[29] = {0.0 << 
 93                             0.03,  0.04,  0.05 << 
 94                             0.1,   0.15,  0.2, << 
 95                             0.5,   0.6,   0.7, << 
 96                             1.2,   1.4,   1.5, << 
 97 G4double G4EmCorrections::CK[20][29];          << 
 98 G4double G4EmCorrections::CL[26][28];          << 
 99 const G4double G4EmCorrections::UL[] = {0.1215 << 
100                            1.4379, 1.5032, 1.5 << 
101                            1.8036, 1.8543, 1.8 << 
102                            1.9508, 1.9696, 1.9 << 
103                            2.0001, 2.0039, 2.0 << 
104 G4double G4EmCorrections::VL[] = {0.0};        << 
105 G4double G4EmCorrections::sWmaxBarkas = 10.0;  << 
106                                                << 
107 G4PhysicsFreeVector* G4EmCorrections::sBarkasC << 
108 G4PhysicsFreeVector* G4EmCorrections::sThetaK  << 
109 G4PhysicsFreeVector* G4EmCorrections::sThetaL  << 
110                                                    82 
111 G4EmCorrections::G4EmCorrections(G4int verb)       83 G4EmCorrections::G4EmCorrections(G4int verb)
112   : verbose(verb)                              << 
113 {                                                  84 {
114   eth = 2.0*CLHEP::MeV;                        <<  85   particle   = nullptr;
115   eCorrMin = 25.*CLHEP::keV;                   <<  86   curParticle= nullptr;
116   eCorrMax = 1.*CLHEP::GeV;                    <<  87   material   = nullptr;
117                                                <<  88   curMaterial= nullptr;
                                                   >>  89   curVector  = nullptr;
                                                   >>  90   kinEnergy  = 0.0;
                                                   >>  91   ionLEModel = nullptr;
                                                   >>  92   ionHEModel = nullptr;
                                                   >>  93   nIons      = 0;
                                                   >>  94   verbose    = verb;
                                                   >>  95   ncouples   = 0;
                                                   >>  96   massFactor = 1.0;
                                                   >>  97   eth        = 2.0*MeV;
                                                   >>  98   nbinCorr   = 20;
                                                   >>  99   eCorrMin   = 25.*keV;
                                                   >> 100   eCorrMax   = 250.*MeV;
                                                   >> 101   nist = G4NistManager::Instance();
118   ionTable = G4ParticleTable::GetParticleTable    102   ionTable = G4ParticleTable::GetParticleTable()->GetIonTable();
119   g4calc = G4Pow::GetInstance();               << 103   BarkasCorr = ThetaK = ThetaL = 0;
120                                                << 104   Initialise();
121   // fill vectors                              << 
122   if (nullptr == sBarkasCorr) {                << 
123     Initialise();                              << 
124     isInitializer = true;                      << 
125   }                                            << 
126 }                                                 105 }
127                                                   106 
128 //....oooOO0OOooo........oooOO0OOooo........oo    107 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
129                                                   108 
130 G4EmCorrections::~G4EmCorrections()               109 G4EmCorrections::~G4EmCorrections()
131 {                                                 110 {
132   for (G4int i=0; i<nIons; ++i) { delete stopD << 111   for(G4int i=0; i<nIons; ++i) {delete stopData[i];}
133   if (isInitializer) {                         << 112   delete BarkasCorr;
134     delete sBarkasCorr;                        << 113   delete ThetaK;
135     delete sThetaK;                            << 114   delete ThetaL;
136     delete sThetaL;                            << 
137     sBarkasCorr = sThetaK = sThetaL = nullptr; << 
138   }                                            << 
139 }                                              << 
140                                                << 
141 void G4EmCorrections::SetupKinematics(const G4 << 
142               const G4Material* mat,           << 
143               const G4double kineticEnergy)    << 
144 {                                              << 
145   if(kineticEnergy != kinEnergy || p != partic << 
146     particle = p;                              << 
147     kinEnergy = kineticEnergy;                 << 
148     mass  = p->GetPDGMass();                   << 
149     tau   = kineticEnergy / mass;              << 
150     gamma = 1.0 + tau;                         << 
151     bg2   = tau * (tau+2.0);                   << 
152     beta2 = bg2/(gamma*gamma);                 << 
153     beta  = std::sqrt(beta2);                  << 
154     ba2   = beta2/alpha2;                      << 
155     const G4double ratio = CLHEP::electron_mas << 
156     tmax  = 2.0*CLHEP::electron_mass_c2*bg2    << 
157       /(1. + 2.0*gamma*ratio + ratio*ratio);   << 
158     charge  = p->GetPDGCharge()*inveplus;      << 
159     if(charge > 1.5) { charge = effCharge.Effe << 
160     q2 = charge*charge;                        << 
161   }                                            << 
162   if(mat != material) {                        << 
163     material = mat;                            << 
164     theElementVector = material->GetElementVec << 
165     atomDensity  = material->GetAtomicNumDensi << 
166     numberOfElements = (G4int)material->GetNum << 
167   }                                            << 
168 }                                                 115 }
169                                                   116 
170 //....oooOO0OOooo........oooOO0OOooo........oo    117 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
171                                                   118 
172 G4double G4EmCorrections::HighOrderCorrections    119 G4double G4EmCorrections::HighOrderCorrections(const G4ParticleDefinition* p,
173                                                   120                                                const G4Material* mat,
174                                                << 121                                                G4double e, G4double)
175 {                                                 122 {
176   // . Z^3 Barkas effect in the stopping power    123   // . Z^3 Barkas effect in the stopping power of matter for charged particles
177   //   J.C Ashley and R.H.Ritchie                 124   //   J.C Ashley and R.H.Ritchie
178   //   Physical review B Vol.5 No.7 1 April 19    125   //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
179   //   and ICRU49 report                          126   //   and ICRU49 report
180   //   valid for kineticEnergy < 0.5 MeV          127   //   valid for kineticEnergy < 0.5 MeV
181   //   Other corrections from S.P.Ahlen Rev. M    128   //   Other corrections from S.P.Ahlen Rev. Mod. Phys., Vol 52, No1, 1980
182                                                   129 
183   SetupKinematics(p, mat, e);                     130   SetupKinematics(p, mat, e);
184   if(tau <= 0.0) { return 0.0; }                  131   if(tau <= 0.0) { return 0.0; }
185                                                   132 
186   const G4double Barkas = BarkasCorrection(p,  << 133   G4double Barkas = BarkasCorrection (p, mat, e);
187   const G4double Bloch  = BlochCorrection(p, m << 134   G4double Bloch  = BlochCorrection (p, mat, e);
188   const G4double Mott = MottCorrection(p, mat, << 135   G4double Mott   = MottCorrection (p, mat, e);
189                                                   136 
190   G4double sum = 2.0*(Barkas + Bloch) + Mott;  << 137   G4double sum = (2.0*(Barkas + Bloch) + Mott);
191                                                   138 
192   if(verbose > 1) {                               139   if(verbose > 1) {
193     G4cout << "EmCorrections: E(MeV)= " << e/M    140     G4cout << "EmCorrections: E(MeV)= " << e/MeV << " Barkas= " << Barkas
194            << " Bloch= " << Bloch << " Mott= "    141            << " Bloch= " << Bloch << " Mott= " << Mott 
195            << " Sum= " << sum << " q2= " << q2    142            << " Sum= " << sum << " q2= " << q2 << G4endl; 
196     G4cout << " ShellCorrection: " << ShellCor    143     G4cout << " ShellCorrection: " << ShellCorrection(p, mat, e) 
197            << " Kshell= " << KShellCorrection(    144            << " Kshell= " << KShellCorrection(p, mat, e)
198            << " Lshell= " << LShellCorrection(    145            << " Lshell= " << LShellCorrection(p, mat, e)
199            << "   " << mat->GetName() << G4end    146            << "   " << mat->GetName() << G4endl;
200   }                                               147   }
201   sum *= material->GetElectronDensity()*q2*CLH << 148   sum *= material->GetElectronDensity() * q2 *  twopi_mc2_rcl2 /beta2;
202   return sum;                                     149   return sum;
203 }                                                 150 }
204                                                   151 
205 //....oooOO0OOooo........oooOO0OOooo........oo    152 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
206                                                   153 
207 G4double G4EmCorrections::IonBarkasCorrection(    154 G4double G4EmCorrections::IonBarkasCorrection(const G4ParticleDefinition* p,
208                                                   155                                               const G4Material* mat,
209                                                << 156                                               G4double e)
210 {                                                 157 {
                                                   >> 158   // . Z^3 Barkas effect in the stopping power of matter for charged particles
                                                   >> 159   //   J.C Ashley and R.H.Ritchie
                                                   >> 160   //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
                                                   >> 161   //   and ICRU49 report
                                                   >> 162   //   valid for kineticEnergy < 0.5 MeV
                                                   >> 163 
211   SetupKinematics(p, mat, e);                     164   SetupKinematics(p, mat, e);
212   return 2.0*BarkasCorrection(p, mat, e, true) << 165   G4double res = 0.0;
213     material->GetElectronDensity() * q2 * CLHE << 166   if(tau > 0.0) 
                                                   >> 167     res = 2.0*BarkasCorrection(p, mat, e)*
                                                   >> 168       material->GetElectronDensity() * q2 *  twopi_mc2_rcl2 /beta2;
                                                   >> 169   return res;
214 }                                                 170 }
215                                                   171 
216 //....oooOO0OOooo........oooOO0OOooo........oo    172 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
217                                                   173 
218 G4double G4EmCorrections::ComputeIonCorrection    174 G4double G4EmCorrections::ComputeIonCorrections(const G4ParticleDefinition* p,
219                                                   175                                                 const G4Material* mat,
220                                                << 176                                                 G4double e)
221 {                                                 177 {
222   // . Z^3 Barkas effect in the stopping power    178   // . Z^3 Barkas effect in the stopping power of matter for charged particles
223   //   J.C Ashley and R.H.Ritchie                 179   //   J.C Ashley and R.H.Ritchie
224   //   Physical review B Vol.5 No.7 1 April 19    180   //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
225   //   and ICRU49 report                          181   //   and ICRU49 report
226   //   valid for kineticEnergy < 0.5 MeV          182   //   valid for kineticEnergy < 0.5 MeV
227   //   Other corrections from S.P.Ahlen Rev. M    183   //   Other corrections from S.P.Ahlen Rev. Mod. Phys., Vol 52, No1, 1980
228   SetupKinematics(p, mat, e);                     184   SetupKinematics(p, mat, e);
229   if(tau <= 0.0) { return 0.0; }                  185   if(tau <= 0.0) { return 0.0; }
230                                                   186 
231   const G4double Barkas = BarkasCorrection (p, << 187   G4double Barkas = BarkasCorrection (p, mat, e);
232   const G4double Bloch  = BlochCorrection (p,  << 188   G4double Bloch  = BlochCorrection (p, mat, e);
233   const G4double Mott = MottCorrection (p, mat << 189   G4double Mott   = MottCorrection (p, mat, e);
234                                                   190 
235   G4double sum = 2.0*(Barkas*(charge - 1.0)/ch    191   G4double sum = 2.0*(Barkas*(charge - 1.0)/charge + Bloch) + Mott;
236                                                   192 
237   if(verbose > 1) {                               193   if(verbose > 1) {
238     G4cout << "EmCorrections: E(MeV)= " << e/M    194     G4cout << "EmCorrections: E(MeV)= " << e/MeV << " Barkas= " << Barkas
239            << " Bloch= " << Bloch << " Mott= "    195            << " Bloch= " << Bloch << " Mott= " << Mott 
240            << " Sum= " << sum << G4endl;          196            << " Sum= " << sum << G4endl; 
241   }                                               197   }
242   sum *= material->GetElectronDensity() * q2 * << 198   sum *= material->GetElectronDensity() * q2 *  twopi_mc2_rcl2 /beta2;
243                                                   199 
244   if(verbose > 1) { G4cout << " Sum= " << sum     200   if(verbose > 1) { G4cout << " Sum= " << sum << G4endl; } 
245   return sum;                                     201   return sum;
246 }                                                 202 }
247                                                   203 
248 //....oooOO0OOooo........oooOO0OOooo........oo    204 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
249                                                   205 
250 G4double G4EmCorrections::IonHighOrderCorrecti    206 G4double G4EmCorrections::IonHighOrderCorrections(const G4ParticleDefinition* p,
251                                                   207                                                   const G4MaterialCutsCouple* couple,
252                                                << 208                                                   G4double e)
253 {                                                 209 {
254   // . Z^3 Barkas effect in the stopping power << 210 // . Z^3 Barkas effect in the stopping power of matter for charged particles
255   //   J.C Ashley and R.H.Ritchie              << 211 //   J.C Ashley and R.H.Ritchie
256   //   Physical review B Vol.5 No.7 1 April 19 << 212 //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
257   //   and ICRU49 report                       << 213 //   and ICRU49 report
258   //   valid for kineticEnergy < 0.5 MeV       << 214 //   valid for kineticEnergy < 0.5 MeV
259   //   Other corrections from S.P.Ahlen Rev. M << 215 //   Other corrections from S.P.Ahlen Rev. Mod. Phys., Vol 52, No1, 1980
260                                                   216 
261   G4double sum = 0.0;                             217   G4double sum = 0.0;
262                                                   218 
263   if (nullptr != ionHEModel) {                 << 219   if(ionHEModel) {
264     G4int Z = G4lrint(p->GetPDGCharge()*invepl    220     G4int Z = G4lrint(p->GetPDGCharge()*inveplus);
265     Z = std::max(std::min(Z, 99), 1);          << 221     if(Z >= 100)   Z = 99;
                                                   >> 222     else if(Z < 1) Z = 1;
266                                                   223 
267     const G4double ethscaled = eth*p->GetPDGMa << 224     G4double ethscaled = eth*p->GetPDGMass()/proton_mass_c2;
268     const G4int ionPDG = p->GetPDGEncoding();  << 225     G4int ionPDG = p->GetPDGEncoding();
269     auto iter = thcorr.find(ionPDG);           << 226     if(thcorr.find(ionPDG)==thcorr.end()) {  // Not found: fill the map
270     if (iter == thcorr.end()) {  // Not found: << 
271       std::vector<G4double> v;                    227       std::vector<G4double> v;
272       for(std::size_t i=0; i<ncouples; ++i){   << 228       for(size_t i=0; i<ncouples; ++i){
273         v.push_back(ethscaled*ComputeIonCorrec    229         v.push_back(ethscaled*ComputeIonCorrections(p,currmat[i],ethscaled));
274       }                                           230       }
275       thcorr.insert(std::pair< G4int, std::vec    231       thcorr.insert(std::pair< G4int, std::vector<G4double> >(ionPDG,v)); 
276     }                                             232     }
277     G4double rest = 0.0;                       << 233 
278     iter = thcorr.find(ionPDG);                << 234     //G4cout << " map size=" << thcorr.size() << G4endl;
279     if (iter != thcorr.end()) { rest = (iter-> << 235     //for(std::map< G4int, std::vector<G4double> >::iterator 
                                                   >> 236     //    it = thcorr.begin(); it != thcorr.end(); ++it){
                                                   >> 237     //  G4cout << "\t map element: first (key)=" << it->first  
                                                   >> 238     //     << "\t second (vector): vec size=" << (it->second).size() << G4endl;
                                                   >> 239     //  for(size_t i=0; i<(it->second).size(); ++i){
                                                   >> 240     // G4cout << "\t \t vec element: [" << i << "]=" << (it->second)[i]
                                                   >> 241     //<< G4endl; } }
                                                   >> 242 
                                                   >> 243     G4double rest = (thcorr.find(ionPDG)->second)[couple->GetIndex()];
280                                                   244 
281     sum = ComputeIonCorrections(p,couple->GetM    245     sum = ComputeIonCorrections(p,couple->GetMaterial(),e) - rest/e;
282                                                   246 
283     if(verbose > 1) {                             247     if(verbose > 1) { 
284       G4cout << " Sum= " << sum << " dSum= " <    248       G4cout << " Sum= " << sum << " dSum= " << rest/e << G4endl; 
285     }                                             249     } 
286   }                                               250   }
287   return sum;                                     251   return sum;
288 }                                                 252 }
289                                                   253 
290 //....oooOO0OOooo........oooOO0OOooo........oo    254 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
291                                                   255 
292 G4double G4EmCorrections::Bethe(const G4Partic    256 G4double G4EmCorrections::Bethe(const G4ParticleDefinition* p,
293                                 const G4Materi    257                                 const G4Material* mat, 
294                                 const G4double << 258                                 G4double e)
295 {                                                 259 {
296   SetupKinematics(p, mat, e);                     260   SetupKinematics(p, mat, e);
297   const G4double eexc  = material->GetIonisati << 261   G4double eexc  = material->GetIonisation()->GetMeanExcitationEnergy();
298   const G4double eexc2 = eexc*eexc;            << 262   G4double eexc2 = eexc*eexc;
299   return 0.5*G4Log(2.0*electron_mass_c2*bg2*tm << 263   G4double dedx = 0.5*G4Log(2.0*electron_mass_c2*bg2*tmax/eexc2)-beta2;
                                                   >> 264   return dedx;
300 }                                                 265 }
301                                                   266 
302 //....oooOO0OOooo........oooOO0OOooo........oo    267 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
303                                                   268 
304 G4double G4EmCorrections::SpinCorrection(const    269 G4double G4EmCorrections::SpinCorrection(const G4ParticleDefinition* p,
305                                          const    270                                          const G4Material* mat,
306                                          const << 271                                          G4double e)
307 {                                                 272 {
308   SetupKinematics(p, mat, e);                     273   SetupKinematics(p, mat, e);
309   const G4double dedx  = 0.5*tmax/(kinEnergy + << 274   G4double dedx  = 0.5*tmax/(kinEnergy + mass);
310   return 0.5*dedx*dedx;                           275   return 0.5*dedx*dedx;
311 }                                                 276 }
312                                                   277 
313 //....oooOO0OOooo........oooOO0OOooo........oo    278 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
314                                                   279 
315 G4double G4EmCorrections:: KShellCorrection(co    280 G4double G4EmCorrections:: KShellCorrection(const G4ParticleDefinition* p,
316                                             co    281                                             const G4Material* mat, 
317                                             co << 282                                             G4double e)
318 {                                                 283 {
319   SetupKinematics(p, mat, e);                     284   SetupKinematics(p, mat, e);
320   G4double term = 0.0;                            285   G4double term = 0.0;
321   for (G4int i = 0; i<numberOfElements; ++i) {    286   for (G4int i = 0; i<numberOfElements; ++i) {
322                                                   287 
323     G4double Z = (*theElementVector)[i]->GetZ(    288     G4double Z = (*theElementVector)[i]->GetZ();
324     G4int   iz = (*theElementVector)[i]->GetZa << 289     G4int   iz = G4lrint(Z);
325     G4double f = 1.0;                             290     G4double f = 1.0;
326     G4double Z2= (Z-0.3)*(Z-0.3);                 291     G4double Z2= (Z-0.3)*(Z-0.3);
327     if(1 == iz) {                                 292     if(1 == iz) {
328       f  = 0.5;                                   293       f  = 0.5;
329       Z2 = 1.0;                                   294       Z2 = 1.0;
330     }                                             295     }
331     const G4double eta = ba2/Z2;               << 296     G4double eta = ba2/Z2;
332     const G4double tet = (11 < iz) ? sThetaK-> << 297     G4double tet = Z2*(1. + Z2*0.25*alpha2);
                                                   >> 298     if(11 < iz) { tet = ThetaK->Value(Z); }
333     term += f*atomDensity[i]*KShell(tet,eta)/Z    299     term += f*atomDensity[i]*KShell(tet,eta)/Z;
334   }                                               300   }
335                                                   301 
336   term /= material->GetTotNbOfAtomsPerVolume()    302   term /= material->GetTotNbOfAtomsPerVolume();
337                                                   303 
338   return term;                                    304   return term;
339 }                                                 305 }
340                                                   306 
341 //....oooOO0OOooo........oooOO0OOooo........oo    307 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
342                                                   308 
343 G4double G4EmCorrections:: LShellCorrection(co    309 G4double G4EmCorrections:: LShellCorrection(const G4ParticleDefinition* p,
344                                             co    310                                             const G4Material* mat, 
345                                             co << 311                                             G4double e)
346 {                                                 312 {
347   SetupKinematics(p, mat, e);                     313   SetupKinematics(p, mat, e);
348   G4double term = 0.0;                            314   G4double term = 0.0;
349   for (G4int i = 0; i<numberOfElements; ++i) {    315   for (G4int i = 0; i<numberOfElements; ++i) {
350                                                   316 
351     const G4double Z = (*theElementVector)[i]- << 317     G4double Z = (*theElementVector)[i]->GetZ();
352     const G4int iz = (*theElementVector)[i]->G << 318     G4int   iz = G4lrint(Z);
353     if(2 < iz) {                                  319     if(2 < iz) {
354       const G4double Zeff = (iz < 10) ? Z - ZD << 320       G4double Zeff = Z - ZD[10];
355       const G4double Z2= Zeff*Zeff;            << 321       if(iz < 10) { Zeff = Z - ZD[iz]; }
356       const G4double eta = ba2/Z2;             << 322       G4double Z2= Zeff*Zeff;
357       G4double tet = sThetaL->Value(Z);        << 323       G4double f = 0.125;
358       G4int nmax = std::min(4, G4AtomicShells: << 324       G4double eta = ba2/Z2;
359       for (G4int j=1; j<nmax; ++j) {           << 325       G4double tet = ThetaL->Value(Z);
                                                   >> 326       G4int nmax = std::min(4,G4AtomicShells::GetNumberOfShells(iz));
                                                   >> 327       for(G4int j=1; j<nmax; ++j) {
360         G4int ne = G4AtomicShells::GetNumberOf    328         G4int ne = G4AtomicShells::GetNumberOfElectrons(iz,j);
361         if (15 >= iz) {                        << 329         if(15 >= iz) {
362           tet = (3 > j) ? 0.25*Z2*(1.0 + 5*Z2* << 330           if(3 > j) { tet = 0.25*Z2*(1.0 + 5*Z2*alpha2/16.); }
363             0.25*Z2*(1.0 + Z2*alpha2/16.);     << 331           else      { tet = 0.25*Z2*(1.0 + Z2*alpha2/16.); }
364         }                                         332         }
365         //G4cout << " LShell: j= " << j << " n    333         //G4cout << " LShell: j= " << j << " ne= " << ne << " e(eV)= " << e/eV
366         //       << " ThetaL= " << tet << G4en    334         //       << " ThetaL= " << tet << G4endl;
367         term += 0.125*ne*atomDensity[i]*LShell << 335         term += f*ne*atomDensity[i]*LShell(tet,eta)/Z;
368       }                                           336       }
369     }                                             337     }
370   }                                               338   }
371                                                   339 
372   term /= material->GetTotNbOfAtomsPerVolume()    340   term /= material->GetTotNbOfAtomsPerVolume();
373                                                   341 
374   return term;                                    342   return term;
375 }                                                 343 }
376                                                   344 
377 //....oooOO0OOooo........oooOO0OOooo........oo    345 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
378                                                   346 
379 G4double G4EmCorrections::KShell(const G4doubl << 347 G4double G4EmCorrections::KShell(G4double tet, G4double eta)
380 {                                                 348 {
381   G4double corr = 0.0;                            349   G4double corr = 0.0;
382                                                   350 
383   static const G4double TheK[20] =             << 
384     {0.64, 0.65, 0.66, 0.68, 0.70, 0.72, 0.74, << 
385      0.80, 0.82, 0.84, 0.85, 0.86, 0.88, 0.90, << 
386                                                << 
387                                                << 
388   G4double x = tet;                               351   G4double x = tet;
389   G4int itet = 0;                                 352   G4int itet = 0;
390   G4int ieta = 0;                                 353   G4int ieta = 0;
391   if(tet < TheK[0]) {                             354   if(tet < TheK[0]) { 
392     x =  TheK[0];                                 355     x =  TheK[0]; 
393   } else if(tet > TheK[nK-1]) {                   356   } else if(tet > TheK[nK-1]) { 
394     x =  TheK[nK-1];                              357     x =  TheK[nK-1];
395     itet = nK-2;                                  358     itet = nK-2; 
396   } else {                                        359   } else { 
397     itet = Index(x, TheK, nK);                    360     itet = Index(x, TheK, nK);
398   }                                               361   }
399   // asymptotic case                           << 362   // assimptotic case
400   if(eta >= Eta[nEtaK-1]) {                       363   if(eta >= Eta[nEtaK-1]) {
401     corr =                                        364     corr = 
402       (Value(x, TheK[itet], TheK[itet+1], UK[i    365       (Value(x, TheK[itet], TheK[itet+1], UK[itet], UK[itet+1]) + 
403        Value(x, TheK[itet], TheK[itet+1], VK[i    366        Value(x, TheK[itet], TheK[itet+1], VK[itet], VK[itet+1])/eta +
404        Value(x, TheK[itet], TheK[itet+1], ZK[i    367        Value(x, TheK[itet], TheK[itet+1], ZK[itet], ZK[itet+1])/(eta*eta))/eta;
405   } else {                                        368   } else {
406     G4double y = eta;                             369     G4double y = eta;
407     if(eta < Eta[0]) {                            370     if(eta < Eta[0]) { 
408       y = Eta[0];                              << 371       y =  Eta[0]; 
409     } else {                                      372     } else { 
410       ieta = Index(y, Eta, nEtaK);                373       ieta = Index(y, Eta, nEtaK);
411     }                                             374     }
412     corr = Value2(x, y, TheK[itet], TheK[itet+    375     corr = Value2(x, y, TheK[itet], TheK[itet+1], Eta[ieta], Eta[ieta+1],
413                   CK[itet][ieta], CK[itet+1][i    376                   CK[itet][ieta], CK[itet+1][ieta], 
414                   CK[itet][ieta+1], CK[itet+1]    377                   CK[itet][ieta+1], CK[itet+1][ieta+1]);
415     //G4cout << "   x= " <<x<<" y= "<<y<<" tet    378     //G4cout << "   x= " <<x<<" y= "<<y<<" tet= " <<TheK[itet]
416     //           <<" "<< TheK[itet+1]<<" eta=     379     //           <<" "<< TheK[itet+1]<<" eta= "<< Eta[ieta]<<" "<< Eta[ieta+1]
417     //           <<" CK= " << CK[itet][ieta]<<    380     //           <<" CK= " << CK[itet][ieta]<<" "<< CK[itet+1][ieta]
418     //           <<" "<< CK[itet][ieta+1]<<" "    381     //           <<" "<< CK[itet][ieta+1]<<" "<< CK[itet+1][ieta+1]<<G4endl;
419   }                                               382   }
420   //G4cout << "Kshell:  tet= " << tet << " eta    383   //G4cout << "Kshell:  tet= " << tet << " eta= " << eta << "  C= " << corr
421   //         << " itet= " << itet << "  ieta=     384   //         << " itet= " << itet << "  ieta= " << ieta <<G4endl;
422   return corr;                                    385   return corr;
423 }                                                 386 }
424                                                   387 
425 //....oooOO0OOooo........oooOO0OOooo........oo    388 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
426                                                   389 
427 G4double G4EmCorrections::LShell(const G4doubl << 390 G4double G4EmCorrections::LShell(G4double tet, G4double eta)
428 {                                                 391 {
429   G4double corr = 0.0;                            392   G4double corr = 0.0;
430                                                   393 
431   static const G4double TheL[26] =             << 
432     {0.24, 0.26, 0.28, 0.30, 0.32,   0.34, 0.3 << 
433      0.42, 0.44, 0.45, 0.46, 0.48,   0.50, 0.5 << 
434      0.58, 0.60, 0.62, 0.64, 0.65,   0.66};    << 
435                                                << 
436   G4double x = tet;                               394   G4double x = tet;
437   G4int itet = 0;                                 395   G4int itet = 0;
438   G4int ieta = 0;                                 396   G4int ieta = 0;
439   if(tet < TheL[0]) {                             397   if(tet < TheL[0]) { 
440     x =  TheL[0];                                 398     x =  TheL[0]; 
441   } else if(tet > TheL[nL-1]) {                   399   } else if(tet > TheL[nL-1]) { 
442     x =  TheL[nL-1];                              400     x =  TheL[nL-1];
443     itet = nL-2;                                  401     itet = nL-2; 
444   } else {                                        402   } else { 
445     itet = Index(x, TheL, nL);                    403     itet = Index(x, TheL, nL);
446   }                                               404   }
447                                                   405 
448   // asymptotic case                           << 406   // assimptotic case
449   if(eta >= Eta[nEtaL-1]) {                       407   if(eta >= Eta[nEtaL-1]) {
450     corr = (Value(x, TheL[itet], TheL[itet+1],    408     corr = (Value(x, TheL[itet], TheL[itet+1], UL[itet], UL[itet+1])
451               + Value(x, TheL[itet], TheL[itet    409               + Value(x, TheL[itet], TheL[itet+1], VL[itet], VL[itet+1])/eta
452             )/eta;                                410             )/eta;
453   } else {                                        411   } else {
454     G4double y = eta;                             412     G4double y = eta;
455     if(eta < Eta[0]) {                            413     if(eta < Eta[0]) { 
456       y =  Eta[0];                                414       y =  Eta[0]; 
457     } else {                                      415     } else { 
458       ieta = Index(y, Eta, nEtaL);                416       ieta = Index(y, Eta, nEtaL);
459     }                                             417     }
460     corr = Value2(x, y, TheL[itet], TheL[itet+    418     corr = Value2(x, y, TheL[itet], TheL[itet+1], Eta[ieta], Eta[ieta+1],
461                   CL[itet][ieta], CL[itet+1][i    419                   CL[itet][ieta], CL[itet+1][ieta], 
462                   CL[itet][ieta+1], CL[itet+1]    420                   CL[itet][ieta+1], CL[itet+1][ieta+1]);
463     //G4cout << "   x= " <<x<<" y= "<<y<<" tet    421     //G4cout << "   x= " <<x<<" y= "<<y<<" tet= " <<TheL[itet]
464     //           <<" "<< TheL[itet+1]<<" eta=     422     //           <<" "<< TheL[itet+1]<<" eta= "<< Eta[ieta]<<" "<< Eta[ieta+1]
465     //           <<" CL= " << CL[itet][ieta]<<    423     //           <<" CL= " << CL[itet][ieta]<<" "<< CL[itet+1][ieta]
466     //           <<" "<< CL[itet][ieta+1]<<" "    424     //           <<" "<< CL[itet][ieta+1]<<" "<< CL[itet+1][ieta+1]<<G4endl;
467   }                                               425   }
468   //G4cout<<"Lshell:  tet= "<<tet<<" eta= "<<e    426   //G4cout<<"Lshell:  tet= "<<tet<<" eta= "<<eta<<" itet= "<<itet
469   //        <<" ieta= "<<ieta<<"  Corr= "<<cor    427   //        <<" ieta= "<<ieta<<"  Corr= "<<corr<<G4endl;
470   return corr;                                    428   return corr;
471 }                                                 429 }
472                                                   430 
473 //....oooOO0OOooo........oooOO0OOooo........oo    431 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
474                                                   432 
475 G4double G4EmCorrections::ShellCorrectionSTD(c    433 G4double G4EmCorrections::ShellCorrectionSTD(const G4ParticleDefinition* p,
476                                              c    434                                              const G4Material* mat, 
477                                              c << 435                                              G4double e)
478 {                                                 436 {
479   SetupKinematics(p, mat, e);                     437   SetupKinematics(p, mat, e);
480   G4double taulim= 8.0*MeV/mass;                  438   G4double taulim= 8.0*MeV/mass;
481   G4double bg2lim= taulim * (taulim+2.0);         439   G4double bg2lim= taulim * (taulim+2.0);
482                                                   440 
483   G4double* shellCorrectionVector =               441   G4double* shellCorrectionVector =
484             material->GetIonisation()->GetShel    442             material->GetIonisation()->GetShellCorrectionVector();
485   G4double sh = 0.0;                              443   G4double sh = 0.0;
486   G4double x  = 1.0;                              444   G4double x  = 1.0;
487   G4double taul  = material->GetIonisation()->    445   G4double taul  = material->GetIonisation()->GetTaul();
488                                                   446 
489   if ( bg2 >= bg2lim ) {                          447   if ( bg2 >= bg2lim ) {
490     for (G4int k=0; k<3; ++k) {                   448     for (G4int k=0; k<3; ++k) {
491         x *= bg2 ;                                449         x *= bg2 ;
492         sh += shellCorrectionVector[k]/x;         450         sh += shellCorrectionVector[k]/x;
493     }                                             451     }
494                                                   452 
495   } else {                                        453   } else {
496     for (G4int k=0; k<3; ++k) {                   454     for (G4int k=0; k<3; ++k) {
497         x *= bg2lim ;                             455         x *= bg2lim ;
498         sh += shellCorrectionVector[k]/x;         456         sh += shellCorrectionVector[k]/x;
499     }                                             457     }
500     sh *= G4Log(tau/taul)/G4Log(taulim/taul);     458     sh *= G4Log(tau/taul)/G4Log(taulim/taul);
501   }                                               459   }
502   sh *= 0.5;                                      460   sh *= 0.5;
503   return sh;                                      461   return sh;
504 }                                                 462 }
505                                                   463 
506                                                   464 
507 //....oooOO0OOooo........oooOO0OOooo........oo    465 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
508                                                   466 
509 G4double G4EmCorrections::ShellCorrection(cons    467 G4double G4EmCorrections::ShellCorrection(const G4ParticleDefinition* p,
510                                           cons    468                                           const G4Material* mat,
511                                           cons << 469                                           G4double ekin)
512 {                                                 470 {
513   SetupKinematics(p, mat, ekin);                  471   SetupKinematics(p, mat, ekin);
                                                   >> 472 
514   G4double term = 0.0;                            473   G4double term = 0.0;
515   //G4cout << "### G4EmCorrections::ShellCorre    474   //G4cout << "### G4EmCorrections::ShellCorrection " << mat->GetName()
516   //       << "   " << ekin/MeV << " MeV " <<  << 475   //         << "   " << ekin/MeV << " MeV " << G4endl;
517   for (G4int i = 0; i<numberOfElements; ++i) {    476   for (G4int i = 0; i<numberOfElements; ++i) {
518                                                   477 
519     G4double res = 0.0;                           478     G4double res = 0.0;
520     G4double res0 = 0.0;                          479     G4double res0 = 0.0;
521     const G4double Z = (*theElementVector)[i]- << 480     G4double Z = (*theElementVector)[i]->GetZ();
522     const G4int iz = (*theElementVector)[i]->G << 481     G4int   iz = G4lrint(Z);
523     G4double Z2= (Z-0.3)*(Z-0.3);                 482     G4double Z2= (Z-0.3)*(Z-0.3);
524     G4double f = 1.0;                             483     G4double f = 1.0;
525     if(1 == iz) {                                 484     if(1 == iz) {
526       f  = 0.5;                                   485       f  = 0.5;
527       Z2 = 1.0;                                   486       Z2 = 1.0;
528     }                                             487     }
529     G4double eta = ba2/Z2;                        488     G4double eta = ba2/Z2;
530     G4double tet = (11 < iz) ? sThetaK->Value( << 489     G4double tet = Z2*(1. + Z2*0.25*alpha2);
                                                   >> 490     if(11 < iz) { tet = ThetaK->Value(Z); }
531     res0 = f*KShell(tet,eta);                     491     res0 = f*KShell(tet,eta);
532     res += res0;                                  492     res += res0;
533     //G4cout << " Z= " << iz << " Shell 0" <<     493     //G4cout << " Z= " << iz << " Shell 0" << " tet= " << tet 
534     //       << " eta= " << eta << "  resK= "     494     //       << " eta= " << eta << "  resK= " << res0 << G4endl;
535                                                << 
536     if(2 < iz) {                                  495     if(2 < iz) {
537       const G4double Zeff = (iz < 10) ? Z - ZD << 496       G4double Zeff = Z - ZD[10];
                                                   >> 497       if(iz < 10) { Zeff = Z - ZD[iz]; }
538       Z2= Zeff*Zeff;                              498       Z2= Zeff*Zeff;
539       eta = ba2/Z2;                               499       eta = ba2/Z2;
540       tet = sThetaL->Value(Z);                 << 
541       f = 0.125;                                  500       f = 0.125;
542       const G4int ntot = G4AtomicShells::GetNu << 501       tet = ThetaL->Value(Z);
543       const G4int nmax = std::min(4, ntot);    << 502       G4int ntot = G4AtomicShells::GetNumberOfShells(iz);
                                                   >> 503       G4int nmax = std::min(4, ntot);
544       G4double norm   = 0.0;                      504       G4double norm   = 0.0;
545       G4double eshell = 0.0;                      505       G4double eshell = 0.0;
546       for(G4int j=1; j<nmax; ++j) {               506       for(G4int j=1; j<nmax; ++j) {
547         G4int ne = G4AtomicShells::GetNumberOf    507         G4int ne = G4AtomicShells::GetNumberOfElectrons(iz,j);
548         if(15 >= iz) {                            508         if(15 >= iz) {
549           tet = (3 > j) ? 0.25*Z2*(1.0 + 5*Z2* << 509           if(3 > j) { tet = 0.25*Z2*(1.0 + 5*Z2*alpha2/16.); }
550       0.25*Z2*(1.0 + Z2*alpha2/16.);           << 510           else      { tet = 0.25*Z2*(1.0 + Z2*alpha2/16.); }
551         }                                         511         }
552         norm   += ne;                             512         norm   += ne;
553         eshell += tet*ne;                         513         eshell += tet*ne;
554         res0 = f*ne*LShell(tet,eta);              514         res0 = f*ne*LShell(tet,eta);
555         res += res0;                              515         res += res0;
556         //G4cout << " Zeff= " << Zeff << " She << 516         //G4cout << " Z= " << iz << " Shell " << j << " Ne= " << ne
557         //       << " tet= " << tet << " eta=     517         //       << " tet= " << tet << " eta= " << eta 
558         //       << "  resL= " << res0 << G4en    518         //       << "  resL= " << res0 << G4endl;
559       }                                           519       }
560       if(ntot > nmax) {                           520       if(ntot > nmax) {
561   if (norm > 0.0) { norm = 1.0/norm; }         << 521         eshell /= norm;
562         eshell *= norm;                        << 
563                                                << 
564   static const G4double HM[53] = {             << 
565     12.0, 12.0, 12.0, 12.0, 11.9, 11.7, 11.5,  << 
566     10.0,  9.51, 8.97, 8.52, 8.03, 7.46, 6.95, << 
567     5.61,  5.39, 5.19, 5.01, 4.86, 4.72, 4.62, << 
568     4.32,  4.26, 4.20, 4.15, 4.1,  4.04, 4.00, << 
569     3.90,  3.89, 3.89, 3.88, 3.88, 3.88, 3.88, << 
570     3.90, 3.92, 3.93 };                        << 
571   static const G4double HN[31] = {             << 
572     75.5, 61.9, 52.2, 45.1, 39.6, 35.4, 31.9,  << 
573     24.5, 23.6, 22.7, 22.0, 21.4, 20.9, 20.5,  << 
574     19.5, 19.3, 19.2, 19.1, 18.4, 18.8, 18.7,  << 
575     18.2};                                     << 
576                                                << 
577         // Add M-shell                            522         // Add M-shell
578         if(28 > iz) {                             523         if(28 > iz) {
579           res += f*(iz - 10)*LShell(eshell,HM[    524           res += f*(iz - 10)*LShell(eshell,HM[iz-11]*eta);
580         } else if(63 > iz) {                      525         } else if(63 > iz) { 
581           res += f*18*LShell(eshell,HM[iz-11]*    526           res += f*18*LShell(eshell,HM[iz-11]*eta);
582         } else {                                  527         } else {
583           res += f*18*LShell(eshell,HM[52]*eta    528           res += f*18*LShell(eshell,HM[52]*eta);
584         }                                         529         }
585         // Add N-shell                            530         // Add N-shell
586         if(32 < iz) {                             531         if(32 < iz) {
587           if(60 > iz) {                           532           if(60 > iz) {
588             res += f*(iz - 28)*LShell(eshell,H    533             res += f*(iz - 28)*LShell(eshell,HN[iz-33]*eta);
589           } else if(63 > iz) {                    534           } else if(63 > iz) {
590             res += 4*LShell(eshell,HN[iz-33]*e    535             res += 4*LShell(eshell,HN[iz-33]*eta);
591           } else {                                536           } else {
592             res += 4*LShell(eshell,HN[30]*eta)    537             res += 4*LShell(eshell,HN[30]*eta);
593           }                                       538           }
594           // Add O-P-shells                       539           // Add O-P-shells
595           if(60 < iz) {                           540           if(60 < iz) {
596             res += f*(iz - 60)*LShell(eshell,1    541             res += f*(iz - 60)*LShell(eshell,150*eta);
597           }                                       542           }
598         }                                         543         }
599       }                                           544       }
600     }                                             545     }
601     term += res*atomDensity[i]/Z;                 546     term += res*atomDensity[i]/Z;
602   }                                               547   }
603                                                   548 
604   term /= material->GetTotNbOfAtomsPerVolume()    549   term /= material->GetTotNbOfAtomsPerVolume();
605   //G4cout << "##Shell Correction=" << term << << 550   //G4cout << "#     Shell Correction= " << term << G4endl;
606   return term;                                    551   return term;
607 }                                                 552 }
608                                                   553 
609 //....oooOO0OOooo........oooOO0OOooo........oo    554 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
610                                                   555 
611 G4double G4EmCorrections::DensityCorrection(co    556 G4double G4EmCorrections::DensityCorrection(const G4ParticleDefinition* p,
612                                             co    557                                             const G4Material* mat,
613                                             co << 558                                             G4double e)
614 {                                                 559 {
615   SetupKinematics(p, mat, e);                     560   SetupKinematics(p, mat, e);
616                                                   561 
617   G4double cden  = material->GetIonisation()->    562   G4double cden  = material->GetIonisation()->GetCdensity();
618   G4double mden  = material->GetIonisation()->    563   G4double mden  = material->GetIonisation()->GetMdensity();
619   G4double aden  = material->GetIonisation()->    564   G4double aden  = material->GetIonisation()->GetAdensity();
620   G4double x0den = material->GetIonisation()->    565   G4double x0den = material->GetIonisation()->GetX0density();
621   G4double x1den = material->GetIonisation()->    566   G4double x1den = material->GetIonisation()->GetX1density();
622                                                   567 
623   G4double dedx = 0.0;                            568   G4double dedx = 0.0;
624                                                   569 
625   // density correction                           570   // density correction
626   static const G4double twoln10 = 2.0*G4Log(10 << 
627   G4double x = G4Log(bg2)/twoln10;                571   G4double x = G4Log(bg2)/twoln10;
628   if ( x >= x0den ) {                             572   if ( x >= x0den ) {
629     dedx = twoln10*x - cden ;                     573     dedx = twoln10*x - cden ;
630     if ( x < x1den ) dedx += aden*G4Exp(G4Log(    574     if ( x < x1den ) dedx += aden*G4Exp(G4Log(x1den-x)*mden) ;
631   }                                               575   }
632                                                   576 
633   return dedx;                                    577   return dedx;
634 }                                                 578 }
635                                                   579 
636 //....oooOO0OOooo........oooOO0OOooo........oo    580 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
637                                                   581 
638 G4double G4EmCorrections::BarkasCorrection(con    582 G4double G4EmCorrections::BarkasCorrection(const G4ParticleDefinition* p,
639                                            con    583                                            const G4Material* mat, 
640                                            con << 584                                            G4double e)
641                                            con << 
642 {                                                 585 {
643   // . Z^3 Barkas effect in the stopping power    586   // . Z^3 Barkas effect in the stopping power of matter for charged particles
644   //   J.C Ashley and R.H.Ritchie                 587   //   J.C Ashley and R.H.Ritchie
645   //   Physical review B Vol.5 No.7 1 April 19    588   //   Physical review B Vol.5 No.7 1 April 1972 pp. 2393-2397
646   //   valid for kineticEnergy > 0.5 MeV          589   //   valid for kineticEnergy > 0.5 MeV
647                                                   590 
648   if (!isInitialized) { SetupKinematics(p, mat << 591   SetupKinematics(p, mat, e);
649   G4double BarkasTerm = 0.0;                      592   G4double BarkasTerm = 0.0;
650                                                   593 
651   for (G4int i = 0; i<numberOfElements; ++i) {    594   for (G4int i = 0; i<numberOfElements; ++i) {
652                                                   595 
653     const G4int iz = (*theElementVector)[i]->G << 596     G4double Z = (*theElementVector)[i]->GetZ();
                                                   >> 597     G4int iz = G4lrint(Z);
654     if(iz == 47) {                                598     if(iz == 47) {
655       BarkasTerm += atomDensity[i]*0.006812*G4    599       BarkasTerm += atomDensity[i]*0.006812*G4Exp(-G4Log(beta)*0.9);
656     } else if(iz >= 64) {                         600     } else if(iz >= 64) {
657       BarkasTerm += atomDensity[i]*0.002833*G4    601       BarkasTerm += atomDensity[i]*0.002833*G4Exp(-G4Log(beta)*1.2);
658     } else {                                      602     } else {    
659                                                   603 
660       const G4double Z = (*theElementVector)[i << 604       G4double X = ba2 / Z;
661       const G4double X = ba2 / Z;              << 
662       G4double b = 1.3;                           605       G4double b = 1.3;
663       if(1 == iz) { b = (material->GetName() = << 606       if(1 == iz) {
                                                   >> 607         if(material->GetName() == "G4_lH2") { b = 0.6; }
                                                   >> 608         else                                { b = 1.8; }
                                                   >> 609       }
664       else if(2 == iz)  { b = 0.6; }              610       else if(2 == iz)  { b = 0.6; }
665       else if(10 >= iz) { b = 1.8; }              611       else if(10 >= iz) { b = 1.8; }
666       else if(17 >= iz) { b = 1.4; }              612       else if(17 >= iz) { b = 1.4; }
667       else if(18 == iz) { b = 1.8; }              613       else if(18 == iz) { b = 1.8; }
668       else if(25 >= iz) { b = 1.4; }              614       else if(25 >= iz) { b = 1.4; }
669       else if(50 >= iz) { b = 1.35;}              615       else if(50 >= iz) { b = 1.35;}
670                                                   616 
671       const G4double W = b/std::sqrt(X);       << 617       G4double W = b/std::sqrt(X);
672                                                   618 
673       G4double val = sBarkasCorr->Value(W, idx << 619       G4double val = BarkasCorr->Value(W);
674       if (W > sWmaxBarkas) { val *= (sWmaxBark << 620       if(W > BarkasCorr->Energy(46)) { 
                                                   >> 621         val *= BarkasCorr->Energy(46)/W; 
                                                   >> 622       } 
675       //    G4cout << "i= " << i << " b= " <<     623       //    G4cout << "i= " << i << " b= " << b << " W= " << W 
676       // << " Z= " << Z << " X= " << X << " va    624       // << " Z= " << Z << " X= " << X << " val= " << val<< G4endl;
677       BarkasTerm += val*atomDensity[i] / (std:    625       BarkasTerm += val*atomDensity[i] / (std::sqrt(Z*X)*X);
678     }                                             626     }
679   }                                               627   }
680                                                   628 
681   BarkasTerm *= 1.29*charge/material->GetTotNb    629   BarkasTerm *= 1.29*charge/material->GetTotNbOfAtomsPerVolume();
682                                                   630 
                                                   >> 631   // temporary protection
                                                   >> 632   //if(charge < -7.0 ) { BarkasTerm *= (-7.0/charge); }
                                                   >> 633 
683   return BarkasTerm;                              634   return BarkasTerm;
684 }                                                 635 }
685                                                   636 
686 //....oooOO0OOooo........oooOO0OOooo........oo    637 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
687                                                   638 
688 G4double G4EmCorrections::BlochCorrection(cons    639 G4double G4EmCorrections::BlochCorrection(const G4ParticleDefinition* p,
689                                           cons    640                                           const G4Material* mat,
690                                           cons << 641                                           G4double e)
691                                           cons << 
692 {                                                 642 {
693   if (!isInitialized) { SetupKinematics(p, mat << 643   SetupKinematics(p, mat, e);
694                                                   644 
695   G4double y2 = q2/ba2;                           645   G4double y2 = q2/ba2;
696                                                   646 
697   G4double term = 1.0/(1.0 + y2);                 647   G4double term = 1.0/(1.0 + y2);
698   G4double del;                                   648   G4double del;
699   G4double j = 1.0;                               649   G4double j = 1.0;
700   do {                                            650   do {
701     j += 1.0;                                     651     j += 1.0;
702     del = 1.0/(j* (j*j + y2));                    652     del = 1.0/(j* (j*j + y2));
703     term += del;                                  653     term += del;
704     // Loop checking, 03-Aug-2015, Vladimir Iv    654     // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
705   } while (del > 0.01*term);                      655   } while (del > 0.01*term);
706                                                   656 
707   return -y2*term;                             << 657   G4double res = -y2*term;
                                                   >> 658   // temporary protection
                                                   >> 659   //if(q2 > 49. && res < -0.2) { res = -0.2; }
                                                   >> 660 
                                                   >> 661   return res;
708 }                                                 662 }
709                                                   663 
710 //....oooOO0OOooo........oooOO0OOooo........oo    664 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
711                                                   665 
712 G4double G4EmCorrections::MottCorrection(const    666 G4double G4EmCorrections::MottCorrection(const G4ParticleDefinition* p,
713                                          const    667                                          const G4Material* mat, 
714                                          const << 668                                          G4double e)
715                                          const << 669 {
                                                   >> 670   SetupKinematics(p, mat, e);
                                                   >> 671   G4double mterm = CLHEP::pi*fine_structure_const*beta*charge;
                                                   >> 672   return mterm;
                                                   >> 673 }
                                                   >> 674 
                                                   >> 675 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
                                                   >> 676 
                                                   >> 677 G4double G4EmCorrections::NuclearDEDX(const G4ParticleDefinition* p,
                                                   >> 678                                       const G4Material* mat,
                                                   >> 679                                       G4double e,
                                                   >> 680                                       G4bool fluct)
                                                   >> 681 {
                                                   >> 682   G4double nloss = 0.0;
                                                   >> 683   if(e <= 0.0) return nloss; 
                                                   >> 684   SetupKinematics(p, mat, e);
                                                   >> 685 
                                                   >> 686   lossFlucFlag = fluct;
                                                   >> 687 
                                                   >> 688   // Projectile nucleus
                                                   >> 689   G4double z1 = std::abs(particle->GetPDGCharge()*inveplus);
                                                   >> 690   G4double mass1 = mass/amu_c2;
                                                   >> 691 
                                                   >> 692   //  loop for the elements in the material
                                                   >> 693   for (G4int iel=0; iel<numberOfElements; iel++) {
                                                   >> 694     const G4Element* element = (*theElementVector)[iel] ;
                                                   >> 695     G4double z2 = element->GetZ();
                                                   >> 696     G4double mass2 = element->GetN();
                                                   >> 697     nloss += (NuclearStoppingPower(kinEnergy, z1, z2, mass1, mass2))
                                                   >> 698            * atomDensity[iel] ;
                                                   >> 699   }
                                                   >> 700   nloss *= theZieglerFactor;
                                                   >> 701   return nloss;
                                                   >> 702 }
                                                   >> 703 
                                                   >> 704 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
                                                   >> 705 
                                                   >> 706 G4double G4EmCorrections::NuclearStoppingPower(G4double kineticEnergy,
                                                   >> 707                                                G4double z1, G4double z2,
                                                   >> 708                                                G4double mass1, G4double mass2)
716 {                                                 709 {
717   if (!isInitialized) { SetupKinematics(p, mat << 710   G4double energy = kineticEnergy/keV ;  // energy in keV
718   return CLHEP::pi*CLHEP::fine_structure_const << 711   G4double nloss = 0.0;
                                                   >> 712   
                                                   >> 713   G4double rm;
                                                   >> 714   if(z1 > 1.5) rm = (mass1 + mass2) * ( Z23[G4lrint(z1)] + Z23[G4lrint(z2)] ) ;
                                                   >> 715   else         rm = (mass1 + mass2) * nist->GetZ13(G4lrint(z2));
                                                   >> 716 
                                                   >> 717   G4double er = 32.536 * mass2 * energy / ( z1 * z2 * rm ) ;  // reduced energy
                                                   >> 718 
                                                   >> 719   if (er >= ed[0]) { nloss = a[0]; }
                                                   >> 720   else {
                                                   >> 721     // the table is inverse in energy
                                                   >> 722     for (G4int i=102; i>=0; --i) {
                                                   >> 723       if (er <= ed[i]) {
                                                   >> 724         nloss = (a[i] - a[i+1])*(er - ed[i+1])/(ed[i] - ed[i+1]) + a[i+1];
                                                   >> 725         break;
                                                   >> 726       }
                                                   >> 727     }
                                                   >> 728   }
                                                   >> 729 
                                                   >> 730   // Stragling
                                                   >> 731   if(lossFlucFlag) {
                                                   >> 732     G4double sig = 4.0 * mass1 * mass2 / ((mass1 + mass2)*(mass1 + mass2)*
                                                   >> 733                                     (4.0 + 0.197/(er*er) + 6.584/er));
                                                   >> 734 
                                                   >> 735     nloss *= G4RandGauss::shoot(1.0,sig) ;
                                                   >> 736   }
                                                   >> 737    
                                                   >> 738   nloss *= 8.462 * z1 * z2 * mass1 / rm ; // Return to [ev/(10^15 atoms/cm^2]
                                                   >> 739 
                                                   >> 740   if ( nloss < 0.0) nloss = 0.0 ;
                                                   >> 741 
                                                   >> 742   return nloss;
719 }                                                 743 }
720                                                   744 
721 //....oooOO0OOooo........oooOO0OOooo........oo    745 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
722                                                   746 
723 G4double                                          747 G4double 
724 G4EmCorrections::EffectiveChargeCorrection(con    748 G4EmCorrections::EffectiveChargeCorrection(const G4ParticleDefinition* p,
725                                            con    749                                            const G4Material* mat,
726                                            con << 750                                            G4double ekin)
727 {                                                 751 {
728   G4double factor = 1.0;                          752   G4double factor = 1.0;
729   if(p->GetPDGCharge() <= 2.5*CLHEP::eplus ||     753   if(p->GetPDGCharge() <= 2.5*CLHEP::eplus || nIons <= 0) { return factor; }
730                                                << 754   /*
731   if(verbose > 1) {                               755   if(verbose > 1) {
732     G4cout << "EffectiveChargeCorrection: " <<    756     G4cout << "EffectiveChargeCorrection: " << p->GetParticleName() 
733            << " in " << mat->GetName()            757            << " in " << mat->GetName()
734            << " ekin(MeV)= " << ekin/MeV << G4    758            << " ekin(MeV)= " << ekin/MeV << G4endl;
735   }                                               759   }
736                                                << 760   */
737   if(p != curParticle || mat != curMaterial) {    761   if(p != curParticle || mat != curMaterial) {
738     curParticle = p;                              762     curParticle = p;
739     curMaterial = mat;                            763     curMaterial = mat;
740     curVector   = nullptr;                     << 764     curVector   = 0;
741     currentZ = p->GetAtomicNumber();              765     currentZ = p->GetAtomicNumber();
742     if(verbose > 1) {                             766     if(verbose > 1) {
743       G4cout << "G4EmCorrections::EffectiveCha    767       G4cout << "G4EmCorrections::EffectiveChargeCorrection: Zion= " 
744              << currentZ << " Aion= " << p->Ge    768              << currentZ << " Aion= " << p->GetPDGMass()/amu_c2 << G4endl;
745     }                                             769     }
746     massFactor = CLHEP::proton_mass_c2/p->GetP << 770     massFactor = proton_mass_c2/p->GetPDGMass();
747     idx = -1;                                     771     idx = -1;
748                                                   772 
749     for(G4int i=0; i<nIons; ++i) {                773     for(G4int i=0; i<nIons; ++i) {
750       if(materialList[i] == mat && currentZ ==    774       if(materialList[i] == mat && currentZ == Zion[i]) {
751         idx = i;                                  775         idx = i;
752         break;                                    776         break;
753       }                                           777       }
754     }                                             778     }
755     //G4cout << " idx= " << idx << " dz= " <<  << 779     //    G4cout << " idx= " << idx << " dz= " << G4endl;
756     if(idx >= 0) {                                780     if(idx >= 0) {
757       if(nullptr == ionList[idx]) { BuildCorre << 781       if(!ionList[idx]) { BuildCorrectionVector(); } 
758       curVector = stopData[idx];               << 782       if(ionList[idx])  { curVector = stopData[idx]; }
759     } else {                                   << 783     } else { return factor; }
760       return factor;                           << 
761     }                                          << 
762   }                                               784   }
763   if(nullptr != curVector) {                   << 785   if(curVector) {
764     factor = curVector->Value(ekin*massFactor)    786     factor = curVector->Value(ekin*massFactor);
765     if(verbose > 1) {                             787     if(verbose > 1) {
766       G4cout << "E= " << ekin << " factor= " <    788       G4cout << "E= " << ekin << " factor= " << factor << " massfactor= " 
767              << massFactor << G4endl;             789              << massFactor << G4endl;
768     }                                             790     }
769   }                                               791   }
770   return factor;                                  792   return factor;
771 }                                                 793 }
772                                                   794 
773 //....oooOO0OOooo........oooOO0OOooo........oo    795 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
774                                                   796 
775 void G4EmCorrections::AddStoppingData(const G4 << 797 void G4EmCorrections::AddStoppingData(G4int Z, G4int A,
776                                       const G4    798                                       const G4String& mname,
777                                       G4Physic    799                                       G4PhysicsVector* dVector)
778 {                                                 800 {
779   G4int i = 0;                                    801   G4int i = 0;
780   for(; i<nIons; ++i) {                           802   for(; i<nIons; ++i) {
781     if(Z == Zion[i] && A == Aion[i] && mname =    803     if(Z == Zion[i] && A == Aion[i] && mname == materialName[i]) break;
782   }                                               804   }
783   if(i == nIons) {                                805   if(i == nIons) {
784     Zion.push_back(Z);                            806     Zion.push_back(Z);
785     Aion.push_back(A);                            807     Aion.push_back(A);
786     materialName.push_back(mname);                808     materialName.push_back(mname);
787     materialList.push_back(nullptr);           << 809     materialList.push_back(0);
788     ionList.push_back(nullptr);                << 810     ionList.push_back(0);
789     stopData.push_back(dVector);                  811     stopData.push_back(dVector);
790     nIons++;                                      812     nIons++;
791     if(verbose > 1) {                          << 813     if(verbose>1) {
792       G4cout << "AddStoppingData Z= " << Z <<     814       G4cout << "AddStoppingData Z= " << Z << " A= " << A << " " << mname
793              << "  idx= " << i << G4endl;         815              << "  idx= " << i << G4endl;
794     }                                             816     }
795   }                                               817   }
796 }                                                 818 }
797                                                   819 
798 //....oooOO0OOooo........oooOO0OOooo........oo    820 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
799                                                   821 
800 void G4EmCorrections::BuildCorrectionVector()     822 void G4EmCorrections::BuildCorrectionVector()
801 {                                                 823 {
802   if(nullptr == ionLEModel || nullptr == ionHE << 824   if(!ionLEModel || !ionHEModel) {
803     return;                                       825     return;
804   }                                               826   }
805                                                   827 
806   const G4ParticleDefinition* ion = curParticl    828   const G4ParticleDefinition* ion = curParticle;
807   const G4ParticleDefinition* gion = G4Generic << 
808   G4int Z = Zion[idx];                            829   G4int Z = Zion[idx];
809   G4double A = Aion[idx];                      << 830   if(currentZ != Z) {
                                                   >> 831     ion = ionTable->GetIon(Z, Aion[idx], 0);
                                                   >> 832   }
                                                   >> 833   //G4cout << "BuildCorrectionVector: idx= " << idx << " Z= " << Z 
                                                   >> 834   //         << " curZ= " << currentZ << G4endl;
                                                   >> 835 
                                                   >> 836   // G4double A = nist->GetAtomicMassAmu(Z);
                                                   >> 837   G4double A = G4double(ion->GetBaryonNumber());
810   G4PhysicsVector* v = stopData[idx];             838   G4PhysicsVector* v = stopData[idx];
811                                                << 839     
812   if(verbose > 1) {                            << 840   const G4ParticleDefinition* p = G4GenericIon::GenericIon();
                                                   >> 841   G4double massRatio = proton_mass_c2/ion->GetPDGMass();
                                                   >> 842 
                                                   >> 843   if(verbose>1) {
813     G4cout << "BuildCorrectionVector: Stopping    844     G4cout << "BuildCorrectionVector: Stopping for "
814            << curParticle->GetParticleName() <    845            << curParticle->GetParticleName() << " in " 
815            << materialName[idx] << " Ion Z= "     846            << materialName[idx] << " Ion Z= " << Z << " A= " << A
816            << " massFactor= " << massFactor << << 847            << " massRatio= " << massRatio << G4endl;
817     G4cout << "    Nbins=" << nbinCorr << " Em << 
818      << " Emax(MeV)=" << eCorrMax << " ion: "  << 
819            << ion->GetParticleName() << G4endl << 
820   }                                               848   }
821                                                   849 
822   auto vv = new G4PhysicsLogVector(eCorrMin,eC << 850   G4PhysicsLogVector* vv = 
823   const G4double eth0 = v->Energy(0);          << 851     new G4PhysicsLogVector(eCorrMin,eCorrMax,nbinCorr);
824   const G4double escal = eth/massFactor;       << 852   vv->SetSpline(true);
                                                   >> 853   G4double e, eion, dedx, dedx1;
                                                   >> 854   G4double eth0 = v->Energy(0);
                                                   >> 855   G4double escal = eth/massRatio;
825   G4double qe =                                   856   G4double qe = 
826     effCharge.EffectiveChargeSquareRatio(curPa << 857     effCharge.EffectiveChargeSquareRatio(ion, curMaterial, escal); 
827   const G4double dedxt =                       << 858   G4double dedxt = 
828     ionLEModel->ComputeDEDXPerVolume(curMateri << 859     ionLEModel->ComputeDEDXPerVolume(curMaterial, p, eth, eth)*qe;
829   const G4double dedx1t =                      << 860   G4double dedx1t = 
830     ionHEModel->ComputeDEDXPerVolume(curMateri << 861     ionHEModel->ComputeDEDXPerVolume(curMaterial, p, eth, eth)*qe 
831     + ComputeIonCorrections(curParticle, curMa    862     + ComputeIonCorrections(curParticle, curMaterial, escal);
832   const G4double rest = escal*(dedxt - dedx1t) << 863   G4double rest = escal*(dedxt - dedx1t);
833   if(verbose > 1) {                            << 864   //G4cout << "Escal(MeV)= "<<escal<<" dedxt0= " <<dedxt 
834     G4cout << "Escal(MeV)= " << escal << " qe= << 865   //         << " dedxt1= " << dedx1t << G4endl;   
835            << " dedxt= " << dedxt << " dedx1t= << 866 
836   }                                            << 
837   for(G4int i=0; i<=nbinCorr; ++i) {              867   for(G4int i=0; i<=nbinCorr; ++i) {
838     // energy in the local table (GenericIon)  << 868     e = vv->Energy(i);
839     G4double e = vv->Energy(i);                << 869     escal = e/massRatio;
840     // energy of the real ion                  << 870     eion  = escal/A;
841     G4double eion = e/massFactor;              << 871     if(eion <= eth0) {
842     // energy in the imput stopping data vecto << 872       dedx = v->Value(eth0)*std::sqrt(eion/eth0);
843     G4double e1 = eion/A;                      << 873     } else {
844     G4double dedx = (e1 < eth0)                << 874       dedx = v->Value(eion);
845       ? v->Value(eth0)*std::sqrt(e1/eth0) : v- << 875     }
846     qe = effCharge.EffectiveChargeSquareRatio( << 876     qe = effCharge.EffectiveChargeSquareRatio(curParticle,curMaterial,escal); 
847     G4double dedx1 = (e <= eth)                << 877     if(e <= eth) {
848       ? ionLEModel->ComputeDEDXPerVolume(curMa << 878       dedx1 = ionLEModel->ComputeDEDXPerVolume(curMaterial, p, e, e)*qe;
849       : ionHEModel->ComputeDEDXPerVolume(curMa << 879     } else {
850       ComputeIonCorrections(curParticle, curMa << 880       dedx1 = ionHEModel->ComputeDEDXPerVolume(curMaterial, p, e, e)*qe +
                                                   >> 881         ComputeIonCorrections(curParticle, curMaterial, escal) + rest/escal;
                                                   >> 882     }
851     vv->PutValue(i, dedx/dedx1);                  883     vv->PutValue(i, dedx/dedx1);
852     if(verbose > 1) {                          << 884     if(verbose>1) {
853       G4cout << "E(MeV)=" << e/CLHEP::MeV << " << 885       G4cout << "  E(meV)= " << e/MeV << "   Correction= " << dedx/dedx1
854        << " e1=" << e1 << " dedxRatio= " << de << 886              << "   "  << dedx << " " << dedx1 
855              << " dedx="  << dedx << " dedx1=" << 887              << "  massF= " << massFactor << G4endl;
856              << " qe=" << qe << " rest/eion="  << 
857     }                                             888     }
858   }                                               889   }
859   delete v;                                       890   delete v;
860   ionList[idx]  = ion;                            891   ionList[idx]  = ion;
861   stopData[idx] = vv;                             892   stopData[idx] = vv;
862   if(verbose > 1) { G4cout << "End data set "  << 893   if(verbose>1) { G4cout << "End data set " << G4endl; }
863 }                                                 894 }
864                                                   895 
865 //....oooOO0OOooo........oooOO0OOooo........oo    896 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
866                                                   897 
867 void G4EmCorrections::InitialiseForNewRun()       898 void G4EmCorrections::InitialiseForNewRun()
868 {                                                 899 {
869   G4ProductionCutsTable* tb = G4ProductionCuts    900   G4ProductionCutsTable* tb = G4ProductionCutsTable::GetProductionCutsTable();
870   ncouples = tb->GetTableSize();                  901   ncouples = tb->GetTableSize();
871   if(currmat.size() != ncouples) {                902   if(currmat.size() != ncouples) {
872     currmat.resize(ncouples);                     903     currmat.resize(ncouples);
873     for(auto it = thcorr.begin(); it != thcorr << 904     for(std::map< G4int, std::vector<G4double> >::iterator it = 
                                                   >> 905         thcorr.begin(); it != thcorr.end(); ++it){
874       (it->second).clear();                       906       (it->second).clear();
875     }                                             907     }
876     thcorr.clear();                               908     thcorr.clear();
877     for(std::size_t i=0; i<ncouples; ++i) {    << 909     for(size_t i=0; i<ncouples; ++i) {
878       currmat[i] = tb->GetMaterialCutsCouple(( << 910       currmat[i] = tb->GetMaterialCutsCouple(i)->GetMaterial();
879       G4String nam = currmat[i]->GetName();       911       G4String nam = currmat[i]->GetName();
880       for(G4int j=0; j<nIons; ++j) {              912       for(G4int j=0; j<nIons; ++j) {
881         if(nam == materialName[j]) { materialL    913         if(nam == materialName[j]) { materialList[j] = currmat[i]; }
882       }                                           914       }
883     }                                             915     }
884   }                                               916   }
885 }                                                 917 }
886                                                   918 
887 //....oooOO0OOooo........oooOO0OOooo........oo    919 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
888                                                   920 
889 void G4EmCorrections::Initialise()                921 void G4EmCorrections::Initialise()
890 {                                                 922 {
891   // Z^3 Barkas effect in the stopping power o << 923 // . Z^3 Barkas effect in the stopping power of matter for charged particles
892   // J.C Ashley and R.H.Ritchie                << 924 //   J.C Ashley and R.H.Ritchie
893   // Physical review B Vol.5 No.7 1 April 1972 << 925 //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
894   // G.S. Khandelwal Nucl. Phys. A116(1968)97  << 
895   // "Shell corrections for K- and L- electron << 
896                                                << 
897   G4int i, j;                                     926   G4int i, j;
898   static const G4double fTable[47][2] = {      << 927   const G4double fTable[47][2] = {
899    { 0.02, 21.5},                                 928    { 0.02, 21.5},
900    { 0.03, 20.0},                                 929    { 0.03, 20.0},
901    { 0.04, 18.0},                                 930    { 0.04, 18.0},
902    { 0.05, 15.6},                                 931    { 0.05, 15.6},
903    { 0.06, 15.0},                                 932    { 0.06, 15.0},
904    { 0.07, 14.0},                                 933    { 0.07, 14.0},
905    { 0.08, 13.5},                                 934    { 0.08, 13.5},
906    { 0.09, 13.},                                  935    { 0.09, 13.},
907    { 0.1,  12.2},                                 936    { 0.1,  12.2},
908    { 0.2,  9.25},                                 937    { 0.2,  9.25},
909    { 0.3,  7.0},                                  938    { 0.3,  7.0},
910    { 0.4,  6.0},                                  939    { 0.4,  6.0},
911    { 0.5,  4.5},                                  940    { 0.5,  4.5},
912    { 0.6,  3.5},                                  941    { 0.6,  3.5},
913    { 0.7,  3.0},                                  942    { 0.7,  3.0},
914    { 0.8,  2.5},                                  943    { 0.8,  2.5},
915    { 0.9,  2.0},                                  944    { 0.9,  2.0},
916    { 1.0,  1.7},                                  945    { 1.0,  1.7},
917    { 1.2,  1.2},                                  946    { 1.2,  1.2},
918    { 1.3,  1.0},                                  947    { 1.3,  1.0},
919    { 1.4,  0.86},                                 948    { 1.4,  0.86},
920    { 1.5,  0.7},                                  949    { 1.5,  0.7},
921    { 1.6,  0.61},                                 950    { 1.6,  0.61},
922    { 1.7,  0.52},                                 951    { 1.7,  0.52},
923    { 1.8,  0.5},                                  952    { 1.8,  0.5},
924    { 1.9,  0.43},                                 953    { 1.9,  0.43},
925    { 2.0,  0.42},                                 954    { 2.0,  0.42},
926    { 2.1,  0.3},                                  955    { 2.1,  0.3},
927    { 2.4,  0.2},                                  956    { 2.4,  0.2},
928    { 3.0,  0.13},                                 957    { 3.0,  0.13},
929    { 3.08, 0.1},                                  958    { 3.08, 0.1},
930    { 3.1,  0.09},                                 959    { 3.1,  0.09},
931    { 3.3,  0.08},                                 960    { 3.3,  0.08},
932    { 3.5,  0.07},                                 961    { 3.5,  0.07},
933    { 3.8,  0.06},                                 962    { 3.8,  0.06},
934    { 4.0,  0.051},                                963    { 4.0,  0.051},
935    { 4.1,  0.04},                                 964    { 4.1,  0.04},
936    { 4.8,  0.03},                                 965    { 4.8,  0.03},
937    { 5.0,  0.024},                                966    { 5.0,  0.024},
938    { 5.1,  0.02},                                 967    { 5.1,  0.02},
939    { 6.0,  0.013},                                968    { 6.0,  0.013},
940    { 6.5,  0.01},                                 969    { 6.5,  0.01},
941    { 7.0,  0.009},                                970    { 7.0,  0.009},
942    { 7.1,  0.008},                                971    { 7.1,  0.008},
943    { 8.0,  0.006},                                972    { 8.0,  0.006},
944    { 9.0,  0.0032},                               973    { 9.0,  0.0032},
945    { 10.0, 0.0025} };                             974    { 10.0, 0.0025} };
946                                                   975 
947   sBarkasCorr = new G4PhysicsFreeVector(47, fa << 976   BarkasCorr = new G4LPhysicsFreeVector(47, 0.02, 10.);
948   for(i=0; i<47; ++i) { sBarkasCorr->PutValues << 977   for(i=0; i<47; ++i) { BarkasCorr->PutValues(i, fTable[i][0], fTable[i][1]); }
                                                   >> 978   BarkasCorr->SetSpline(true);
                                                   >> 979 
                                                   >> 980   const G4double nuca[104][2] = {
                                                   >> 981   { 1.0E+8, 5.831E-8},
                                                   >> 982   { 8.0E+7, 7.288E-8},
                                                   >> 983   { 6.0E+7, 9.719E-8},
                                                   >> 984   { 5.0E+7, 1.166E-7},
                                                   >> 985   { 4.0E+7, 1.457E-7},
                                                   >> 986   { 3.0E+7, 1.942E-7},
                                                   >> 987   { 2.0E+7, 2.916E-7},
                                                   >> 988   { 1.5E+7, 3.887E-7},
                                                   >> 989 
                                                   >> 990   { 1.0E+7, 5.833E-7},
                                                   >> 991   { 8.0E+6, 7.287E-7},
                                                   >> 992   { 6.0E+6, 9.712E-7},
                                                   >> 993   { 5.0E+6, 1.166E-6},
                                                   >> 994   { 4.0E+6, 1.457E-6},
                                                   >> 995   { 3.0E+6, 1.941E-6},
                                                   >> 996   { 2.0E+6, 2.911E-6},
                                                   >> 997   { 1.5E+6, 3.878E-6},
                                                   >> 998 
                                                   >> 999   { 1.0E+6, 5.810E-6},
                                                   >> 1000   { 8.0E+5, 7.262E-6},
                                                   >> 1001   { 6.0E+5, 9.663E-6},
                                                   >> 1002   { 5.0E+5, 1.157E-5},
                                                   >> 1003   { 4.0E+5, 1.442E-5},
                                                   >> 1004   { 3.0E+5, 1.913E-5},
                                                   >> 1005   { 2.0E+5, 2.845E-5},
                                                   >> 1006   { 1.5E+5, 3.762E-5},
                                                   >> 1007 
                                                   >> 1008   { 1.0E+5, 5.554E-5},
                                                   >> 1009   { 8.0E+4, 6.866E-5},
                                                   >> 1010   { 6.0E+4, 9.020E-5},
                                                   >> 1011   { 5.0E+4, 1.070E-4},
                                                   >> 1012   { 4.0E+4, 1.319E-4},
                                                   >> 1013   { 3.0E+4, 1.722E-4},
                                                   >> 1014   { 2.0E+4, 2.499E-4},
                                                   >> 1015   { 1.5E+4, 3.248E-4},
                                                   >> 1016 
                                                   >> 1017   { 1.0E+4, 4.688E-4},
                                                   >> 1018   { 8.0E+3, 5.729E-4},
                                                   >> 1019   { 6.0E+3, 7.411E-4},
                                                   >> 1020   { 5.0E+3, 8.718E-4},
                                                   >> 1021   { 4.0E+3, 1.063E-3},
                                                   >> 1022   { 3.0E+3, 1.370E-3},
                                                   >> 1023   { 2.0E+3, 1.955E-3},
                                                   >> 1024   { 1.5E+3, 2.511E-3},
                                                   >> 1025 
                                                   >> 1026   { 1.0E+3, 3.563E-3},
                                                   >> 1027   { 8.0E+2, 4.314E-3},
                                                   >> 1028   { 6.0E+2, 5.511E-3},
                                                   >> 1029   { 5.0E+2, 6.430E-3},
                                                   >> 1030   { 4.0E+2, 7.756E-3},
                                                   >> 1031   { 3.0E+2, 9.855E-3},
                                                   >> 1032   { 2.0E+2, 1.375E-2},
                                                   >> 1033   { 1.5E+2, 1.736E-2},
                                                   >> 1034 
                                                   >> 1035   { 1.0E+2, 2.395E-2},
                                                   >> 1036   { 8.0E+1, 2.850E-2},
                                                   >> 1037   { 6.0E+1, 3.552E-2},
                                                   >> 1038   { 5.0E+1, 4.073E-2},
                                                   >> 1039   { 4.0E+1, 4.802E-2},
                                                   >> 1040   { 3.0E+1, 5.904E-2},
                                                   >> 1041   { 1.5E+1, 9.426E-2},
                                                   >> 1042 
                                                   >> 1043   { 1.0E+1, 1.210E-1},
                                                   >> 1044   { 8.0E+0, 1.377E-1},
                                                   >> 1045   { 6.0E+0, 1.611E-1},
                                                   >> 1046   { 5.0E+0, 1.768E-1},
                                                   >> 1047   { 4.0E+0, 1.968E-1},
                                                   >> 1048   { 3.0E+0, 2.235E-1},
                                                   >> 1049   { 2.0E+0, 2.613E-1},
                                                   >> 1050   { 1.5E+0, 2.871E-1},
                                                   >> 1051 
                                                   >> 1052   { 1.0E+0, 3.199E-1},
                                                   >> 1053   { 8.0E-1, 3.354E-1},
                                                   >> 1054   { 6.0E-1, 3.523E-1},
                                                   >> 1055   { 5.0E-1, 3.609E-1},
                                                   >> 1056   { 4.0E-1, 3.693E-1},
                                                   >> 1057   { 3.0E-1, 3.766E-1},
                                                   >> 1058   { 2.0E-1, 3.803E-1},
                                                   >> 1059   { 1.5E-1, 3.788E-1},
                                                   >> 1060 
                                                   >> 1061   { 1.0E-1, 3.711E-1},
                                                   >> 1062   { 8.0E-2, 3.644E-1},
                                                   >> 1063   { 6.0E-2, 3.530E-1},
                                                   >> 1064   { 5.0E-2, 3.444E-1},
                                                   >> 1065   { 4.0E-2, 3.323E-1},
                                                   >> 1066   { 3.0E-2, 3.144E-1},
                                                   >> 1067   { 2.0E-2, 2.854E-1},
                                                   >> 1068   { 1.5E-2, 2.629E-1},
                                                   >> 1069 
                                                   >> 1070   { 1.0E-2, 2.298E-1},
                                                   >> 1071   { 8.0E-3, 2.115E-1},
                                                   >> 1072   { 6.0E-3, 1.883E-1},
                                                   >> 1073   { 5.0E-3, 1.741E-1},
                                                   >> 1074   { 4.0E-3, 1.574E-1},
                                                   >> 1075   { 3.0E-3, 1.372E-1},
                                                   >> 1076   { 2.0E-3, 1.116E-1},
                                                   >> 1077   { 1.5E-3, 9.559E-2},
                                                   >> 1078 
                                                   >> 1079   { 1.0E-3, 7.601E-2},
                                                   >> 1080   { 8.0E-4, 6.668E-2},
                                                   >> 1081   { 6.0E-4, 5.605E-2},
                                                   >> 1082   { 5.0E-4, 5.008E-2},
                                                   >> 1083   { 4.0E-4, 4.352E-2},
                                                   >> 1084   { 3.0E-4, 3.617E-2},
                                                   >> 1085   { 2.0E-4, 2.768E-2},
                                                   >> 1086   { 1.5E-4, 2.279E-2},
                                                   >> 1087 
                                                   >> 1088   { 1.0E-4, 1.723E-2},
                                                   >> 1089   { 8.0E-5, 1.473E-2},
                                                   >> 1090   { 6.0E-5, 1.200E-2},
                                                   >> 1091   { 5.0E-5, 1.052E-2},
                                                   >> 1092   { 4.0E-5, 8.950E-3},
                                                   >> 1093   { 3.0E-5, 7.246E-3},
                                                   >> 1094   { 2.0E-5, 5.358E-3},
                                                   >> 1095   { 1.5E-5, 4.313E-3},
                                                   >> 1096   { 0.0, 3.166E-3}
                                                   >> 1097   };
                                                   >> 1098 
                                                   >> 1099   for(i=0; i<104; ++i) {
                                                   >> 1100     ed[i] = nuca[i][0];
                                                   >> 1101     a[i] = nuca[i][1];
                                                   >> 1102   }
                                                   >> 1103 
                                                   >> 1104   // Constants
                                                   >> 1105   theZieglerFactor = eV*cm2*1.0e-15 ; 
                                                   >> 1106   alpha2           = fine_structure_const*fine_structure_const;
                                                   >> 1107   lossFlucFlag     = true;
                                                   >> 1108 
                                                   >> 1109   // G.S. Khandelwal Nucl. Phys. A116(1968)97 - 111.
                                                   >> 1110   // "Shell corrections for K- and L- electrons
                                                   >> 1111 
                                                   >> 1112   nK = 20;
                                                   >> 1113   nL = 26;
                                                   >> 1114   nEtaK = 29;
                                                   >> 1115   nEtaL = 28;
949                                                   1116 
950   const G4double SK[20] = {1.9477, 1.9232, 1.8 << 1117   const G4double d[11] = 
                                                   >> 1118     {0., 0., 0., 1.72, 2.09, 2.48, 2.82, 3.16, 3.53, 3.84, 4.15};
                                                   >> 1119   const G4double thek[20] = 
                                                   >> 1120     {0.64, 0.65, 0.66, 0.68, 0.70, 0.72, 0.74, 0.75, 0.76, 0.78,
                                                   >> 1121      0.80, 0.82, 0.84, 0.85, 0.86, 0.88, 0.90, 0.92, 0.94, 0.95};
                                                   >> 1122   const G4double sk[20] = {1.9477, 1.9232, 1.8996, 1.8550, 1.8137,
951                            1.7754, 1.7396, 1.7    1123                            1.7754, 1.7396, 1.7223, 1.7063, 1.6752,
952                            1.6461, 1.6189, 1.5    1124                            1.6461, 1.6189, 1.5933, 1.5811, 1.5693,
953                            1.5467, 1.5254, 1.5    1125                            1.5467, 1.5254, 1.5053, 1.4863, 1.4772};
954   const G4double TK[20] = {2.5222, 2.5125, 2.5 << 1126   const G4double tk[20] = {2.5222, 2.5125, 2.5026, 2.4821, 2.4608,
955                            2.4388, 2.4163, 2.4    1127                            2.4388, 2.4163, 2.4044, 2.3933, 2.3701,
956                            2.3466, 2.3229, 2.2    1128                            2.3466, 2.3229, 2.2992, 2.2872, 2.2753,
957                            2.2515, 2.2277, 2.2    1129                            2.2515, 2.2277, 2.2040, 2.1804, 2.1686};
                                                   >> 1130   const G4double uk[20] = {1.9999, 2.0134, 2.0258, 2.0478, 2.0662,
                                                   >> 1131                            2.0817, 2.0945, 2.0999, 2.1049, 2.1132,
                                                   >> 1132                            2.1197, 2.1246, 2.1280, 2.1292, 2.1301,
                                                   >> 1133                            2.1310, 2.1310, 2.1300, 2.1283, 2.1271};
                                                   >> 1134   const G4double vk[20] = {8.3410, 8.3373, 8.3340, 8.3287, 8.3247,
                                                   >> 1135                            8.3219, 8.3201, 8.3194, 8.3191, 8.3188,
                                                   >> 1136                            8.3191, 8.3199, 8.3211, 8.3218, 8.3226,
                                                   >> 1137                            8.3244, 8.3264, 8.3285, 8.3308, 8.3320};
958                                                   1138 
959   const G4double SL[26] = {15.3343, 13.9389, 1 << 1139   for(i=0; i<11; ++i) { ZD[i] = d[i];}
                                                   >> 1140 
                                                   >> 1141   for(i=0; i<nK; ++i) {
                                                   >> 1142     TheK[i] = thek[i];
                                                   >> 1143     SK[i]   = sk[i];
                                                   >> 1144     TK[i]   = tk[i];
                                                   >> 1145     UK[i]   = uk[i];
                                                   >> 1146     VK[i]   = vk[i];
                                                   >> 1147   }
                                                   >> 1148 
                                                   >> 1149   const G4double thel[26] = 
                                                   >> 1150     {0.24, 0.26, 0.28, 0.30, 0.32,   0.34, 0.35, 0.36, 0.38, 0.40,
                                                   >> 1151      0.42, 0.44, 0.45, 0.46, 0.48,   0.50, 0.52, 0.54, 0.55, 0.56,
                                                   >> 1152      0.58, 0.60, 0.62, 0.64, 0.65,   0.66};
                                                   >> 1153   const G4double sl[26] = {15.3343, 13.9389, 12.7909, 11.8343, 11.0283,
960                            10.3424, 10.0371,      1154                            10.3424, 10.0371,  9.7537,  9.2443,  8.8005,
961                            8.4114,  8.0683,       1155                            8.4114,  8.0683,   7.9117, 7.7641, 7.4931,
962                            7.2506,  7.0327,       1156                            7.2506,  7.0327,   6.8362, 6.7452, 6.6584,
963                            6.4969,  6.3498,       1157                            6.4969,  6.3498,   6.2154, 6.0923, 6.0345, 5.9792};
964   const G4double TL[26] = {35.0669, 33.4344, 3 << 1158   const G4double tl[26] = {35.0669, 33.4344, 32.0073, 30.7466, 29.6226,
965                            28.6128, 28.1449, 2    1159                            28.6128, 28.1449, 27.6991, 26.8674, 26.1061,
966                            25.4058, 24.7587, 2    1160                            25.4058, 24.7587, 24.4531, 24.1583, 23.5992,
967                            23.0771, 22.5880, 2    1161                            23.0771, 22.5880, 22.1285, 21.9090, 21.6958,
968                            21.2872, 20.9006, 2    1162                            21.2872, 20.9006, 20.5341, 20.1859, 20.0183, 19.8546};
                                                   >> 1163   const G4double ul[26] = {0.1215, 0.5265, 0.8411, 1.0878, 1.2828,
                                                   >> 1164                            1.4379, 1.5032, 1.5617, 1.6608, 1.7401,
                                                   >> 1165                            1.8036, 1.8543, 1.8756, 1.8945, 1.9262,
                                                   >> 1166                            1.9508, 1.9696, 1.9836, 1.9890, 1.9935,
                                                   >> 1167                            2.0001, 2.0039, 2.0053, 2.0049, 2.0040, 2.0028};  
                                                   >> 1168   for(i=0; i<nL; ++i) {
                                                   >> 1169     TheL[i] = thel[i];
                                                   >> 1170     SL[i]   = sl[i];
                                                   >> 1171     TL[i]   = tl[i];
                                                   >> 1172     UL[i]   = ul[i];
                                                   >> 1173   }
                                                   >> 1174 
                                                   >> 1175   const G4double eta[29] = {0.005, 0.007, 0.01, 0.015, 0.02,
                                                   >> 1176                             0.03,  0.04,  0.05, 0.06,  0.08,
                                                   >> 1177                             0.1,   0.15,  0.2,  0.3,   0.4,
                                                   >> 1178                             0.5,   0.6,   0.7,  0.8,   1.0,
                                                   >> 1179                             1.2,   1.4,   1.5,  1.7,   2.0, 3.0, 5.0, 7.0, 10.};
969                                                   1180 
970   const G4double bk1[29][11] = {                  1181   const G4double bk1[29][11] = { 
971   {0.005, 1.34782E-8, 1.46132E-8, 1.72179E-8,     1182   {0.005, 1.34782E-8, 1.46132E-8, 1.72179E-8, 2.03521E-8, 2.41370E-8, 2.87247E-8, 3.13778E-8, 3.43072E-8, 4.11274E-8, 4.94946E-8}, 
972   {0.007, 6.87555E-8, 7.44373E-8, 8.74397E-8,     1183   {0.007, 6.87555E-8, 7.44373E-8, 8.74397E-8, 1.03022E-7, 1.21760E-7, 1.44370E-7, 1.57398E-7, 1.71747E-7, 2.05023E-7, 2.45620E-7}, 
973   {0.01, 3.78413E-7, 4.08831E-7, 4.78154E-7, 5    1184   {0.01, 3.78413E-7, 4.08831E-7, 4.78154E-7, 5.60760E-7, 6.59478E-7, 7.77847E-7, 8.45709E-7, 9.20187E-7, 1.09192E-6, 1.29981E-6}, 
974   {0.015, 2.53200E-6, 2.72664E-6, 3.16738E-6,     1185   {0.015, 2.53200E-6, 2.72664E-6, 3.16738E-6, 3.68791E-6, 4.30423E-6, 5.03578E-6, 5.45200E-6, 5.90633E-6, 6.94501E-6, 8.18757E-6}, 
975   {0.02, 9.43891E-6, 1.01339E-5, 1.16984E-5, 1    1186   {0.02, 9.43891E-6, 1.01339E-5, 1.16984E-5, 1.35313E-5, 1.56829E-5, 1.82138E-5, 1.96439E-5, 2.11973E-5, 2.47216E-5, 2.88935E-5}, 
976   {0.03, 5.67088E-5, 6.05576E-5, 6.91311E-5, 7    1187   {0.03, 5.67088E-5, 6.05576E-5, 6.91311E-5, 7.90324E-5, 9.04832E-5, 1.03744E-4, 1.11147E-4, 1.19122E-4, 1.36980E-4, 1.57744E-4}, 
977   {0.04, 1.91576E-4, 2.03626E-4, 2.30230E-4, 2    1188   {0.04, 1.91576E-4, 2.03626E-4, 2.30230E-4, 2.60584E-4, 2.95248E-4, 3.34870E-4, 3.56771E-4, 3.80200E-4, 4.32104E-4, 4.91584E-4}, 
978   {0.05, 4.74226E-4, 5.02006E-4, 5.62872E-4, 6    1189   {0.05, 4.74226E-4, 5.02006E-4, 5.62872E-4, 6.31597E-4, 7.09244E-4, 7.97023E-4, 8.45134E-4, 8.96410E-4, 1.00867E-3, 1.13590E-3}, 
979   {0.06, 9.67285E-4, 1.02029E-3, 1.13566E-3, 1    1190   {0.06, 9.67285E-4, 1.02029E-3, 1.13566E-3, 1.26476E-3, 1.46928E-3, 1.57113E-3, 1.65921E-3, 1.75244E-3, 1.95562E-3, 2.18336E-3}, 
980   {0.08, 2.81537E-3, 2.95200E-3, 3.24599E-3, 3    1191   {0.08, 2.81537E-3, 2.95200E-3, 3.24599E-3, 3.57027E-3, 3.92793E-3, 4.32246E-3, 4.53473E-3, 4.75768E-3, 5.23785E-3, 5.76765E-3}, 
981   {0.1, 6.14216E-3, 6.40864E-3, 6.97750E-3, 7.    1192   {0.1, 6.14216E-3, 6.40864E-3, 6.97750E-3, 7.59781E-3, 8.27424E-3, 9.01187E-3, 9.40534E-3, 9.81623E-3, 1.06934E-2, 1.16498E-2}, 
982   {0.15, 2.23096E-2, 2.30790E-2, 2.46978E-2, 2    1193   {0.15, 2.23096E-2, 2.30790E-2, 2.46978E-2, 2.64300E-2, 2.82832E-2, 3.02661E-2, 3.13090E-2, 3.23878E-2, 3.46580E-2, 3.70873E-2}, 
983   {0.2, 5.04022E-2, 5.18492E-2, 5.48682E-2, 5.    1194   {0.2, 5.04022E-2, 5.18492E-2, 5.48682E-2, 5.80617E-2, 6.14403E-2, 6.50152E-2, 6.68798E-2, 6.87981E-2, 7.28020E-2, 7.70407E-2}, 
984   {0.3, 1.38018E-1, 1.41026E-1, 1.47244E-1, 1.    1195   {0.3, 1.38018E-1, 1.41026E-1, 1.47244E-1, 1.53743E-1, 1.60536E-1, 1.67641E-1, 1.71315E-1, 1.75074E-1, 1.82852E-1, 1.90997E-1}, 
985   {0.4, 2.56001E-1, 2.60576E-1, 2.69992E-1, 2.    1196   {0.4, 2.56001E-1, 2.60576E-1, 2.69992E-1, 2.79776E-1, 2.89946E-1, 3.00525E-1, 3.05974E-1, 3.11533E-1, 3.22994E-1, 3.34935E-1}, 
986   {0.5, 3.92181E-1, 3.98213E-1, 4.10597E-1, 4.    1197   {0.5, 3.92181E-1, 3.98213E-1, 4.10597E-1, 4.23427E-1, 4.36726E-1, 4.50519E-1, 4.57610E-1, 4.64834E-1, 4.79700E-1, 4.95148E-1}, 
987   {0.6, 5.37913E-1, 5.45268E-1, 5.60350E-1, 5.    1198   {0.6, 5.37913E-1, 5.45268E-1, 5.60350E-1, 5.75948E-1, 5.92092E-1, 6.08811E-1, 6.17396E-1, 6.26136E-1, 6.44104E-1, 6.62752E-1}, 
988   {0.7, 6.87470E-1, 6.96021E-1, 7.13543E-1, 7.    1199   {0.7, 6.87470E-1, 6.96021E-1, 7.13543E-1, 7.31650E-1, 7.50373E-1, 7.69748E-1, 7.79591E-1, 7.89811E-1, 8.10602E-1, 8.32167E-1}, 
989   {0.8, 8.37159E-1, 8.46790E-1, 8.66525E-1, 8.    1200   {0.8, 8.37159E-1, 8.46790E-1, 8.66525E-1, 8.86910E-1, 9.07979E-1, 9.29772E-1, 9.40953E-1, 9.52331E-1, 9.75701E-1, 9.99934E-1}, 
990   {1.0, 1.12850, 1.14002, 1.16362, 1.18799, 1.    1201   {1.0, 1.12850, 1.14002, 1.16362, 1.18799, 1.21317, 1.23921, 1.25257, 1.26616, 1.29408, 1.32303}, 
991   {1.2, 1.40232, 1.41545, 1.44232, 1.47007, 1.    1202   {1.2, 1.40232, 1.41545, 1.44232, 1.47007, 1.49875, 1.52842, 1.54364, 1.55913, 1.59095, 1.62396}, 
992   {1.4, 1.65584, 1.67034, 1.70004, 1.73072, 1.    1203   {1.4, 1.65584, 1.67034, 1.70004, 1.73072, 1.76244, 1.79526, 1.81210, 1.82925, 1.86448, 1.90104}, 
993   {1.5, 1.77496, 1.79009, 1.82107, 1.85307, 1.    1204   {1.5, 1.77496, 1.79009, 1.82107, 1.85307, 1.88617, 1.92042, 1.93800, 1.95590, 1.99269, 2.03087}, 
994   {1.7, 1.99863, 2.01490, 2.04822, 2.08265, 2.    1205   {1.7, 1.99863, 2.01490, 2.04822, 2.08265, 2.11827, 2.15555, 2.17409, 2.19337, 2.23302, 2.27419}, 
995   {2.0, 2.29325, 2.31100, 2.34738, 2.38501, 2.    1206   {2.0, 2.29325, 2.31100, 2.34738, 2.38501, 2.42395, 2.46429, 2.48401, 2.50612, 2.54955, 2.59468}, 
996   {3.0, 3.08887, 3.11036, 3.15445, 3.20013, 3.    1207   {3.0, 3.08887, 3.11036, 3.15445, 3.20013, 3.24748, 3.29664, 3.32192, 3.34770, 3.40081, 3.45611}, 
997   {5.0, 4.07599, 4.10219, 4.15606, 4.21199, 4.    1208   {5.0, 4.07599, 4.10219, 4.15606, 4.21199, 4.27010, 4.33056, 4.36172, 4.39353, 4.45918, 4.52772}, 
998   {7.0, 4.69647, 4.72577, 4.78608, 4.84877, 4.    1209   {7.0, 4.69647, 4.72577, 4.78608, 4.84877, 4.91402, 4.98200, 5.01707, 5.05290, 5.12695, 5.20436}, 
999   {10.0, 5.32590, 5.35848, 5.42560, 5.49547, 5    1210   {10.0, 5.32590, 5.35848, 5.42560, 5.49547, 5.56830, 5.64429, 5.68353, 5.72366, 5.80666, 5.89359}
1000   };                                             1211   }; 
1001                                                  1212 
1002   const G4double bk2[29][11] = {                 1213   const G4double bk2[29][11] = { 
1003   {0.005, 5.98040E-8, 7.25636E-8, 8.00602E-8,    1214   {0.005, 5.98040E-8, 7.25636E-8, 8.00602E-8, 8.84294E-8, 1.08253E-7, 1.33148E-7, 1.64573E-7, 2.04459E-7, 2.28346E-7, 2.55370E-7}, 
1004   {0.007, 2.95345E-7, 3.56497E-7, 3.92247E-7,    1215   {0.007, 2.95345E-7, 3.56497E-7, 3.92247E-7, 4.32017E-7, 5.25688E-7, 6.42391E-7, 7.88464E-7, 9.72171E-7, 1.08140E-6, 1.20435E-6}, 
1005   {0.01, 1.55232E-6, 1.86011E-6, 2.03881E-6,     1216   {0.01, 1.55232E-6, 1.86011E-6, 2.03881E-6, 2.23662E-6, 2.69889E-6, 3.26860E-6, 3.26860E-6, 4.84882E-6, 5.36428E-6, 5.94048E-6}, 
1006   {0.015, 9.67802E-6, 1.14707E-5, 1.25008E-5,    1217   {0.015, 9.67802E-6, 1.14707E-5, 1.25008E-5, 1.36329E-5, 1.62480E-5, 1.94200E-5, 2.32783E-5, 2.79850E-5, 3.07181E-5, 3.37432E-5}, 
1007   {0.02, 3.38425E-5, 3.97259E-5, 4.30763E-5,     1218   {0.02, 3.38425E-5, 3.97259E-5, 4.30763E-5, 4.67351E-5, 5.51033E-5, 6.51154E-5, 7.71154E-5, 9.15431E-5, 9.98212E-5, 1.08909E-4}, 
1008   {0.03, 1.81920E-4, 2.10106E-4, 2.25918E-4,     1219   {0.03, 1.81920E-4, 2.10106E-4, 2.25918E-4, 2.43007E-4, 2.81460E-4, 3.26458E-4, 3.79175E-4, 4.41006E-4, 4.75845E-4, 5.13606E-4}, 
1009   {0.04, 5.59802E-4, 6.38103E-4, 6.81511E-4,     1220   {0.04, 5.59802E-4, 6.38103E-4, 6.81511E-4, 7.28042E-4, 8.31425E-4, 9.50341E-4, 1.08721E-3, 1.24485E-3, 1.33245E-3, 1.42650E-3}, 
1010   {0.05, 1.28002E-3, 1.44336E-3, 1.53305E-3,     1221   {0.05, 1.28002E-3, 1.44336E-3, 1.53305E-3, 1.62855E-3, 1.83861E-3, 2.07396E-3, 2.34750E-3, 2.65469E-3, 2.82358E-3, 3.00358E-3}, 
1011   {0.06, 2.42872E-3, 2.72510E-3, 2.88111E-3,     1222   {0.06, 2.42872E-3, 2.72510E-3, 2.88111E-3, 3.04636E-3, 3.40681E-3, 3.81132E-3, 4.26536E-3, 4.77507E-3, 5.05294E-3, 5.34739E-3}, 
1012   {0.08, 6.35222E-3, 6.99730E-3, 7.34446E-3,     1223   {0.08, 6.35222E-3, 6.99730E-3, 7.34446E-3, 7.70916E-3, 8.49478E-3, 9.36187E-3, 1.03189E-2, 1.13754E-2, 1.19441E-2, 1.25417E-2}, 
1013   {0.1, 1.26929E-2, 1.38803E-2, 1.44371E-2, 1    1224   {0.1, 1.26929E-2, 1.38803E-2, 1.44371E-2, 1.50707E-2, 1.64235E-2, 1.78989E-2, 1.95083E-2, 2.12640E-2, 2.22009E-2, 2.31795E-2}, 
1014   {0.15, 3.96872E-2, 4.24699E-2, 4.39340E-2,     1225   {0.15, 3.96872E-2, 4.24699E-2, 4.39340E-2, 4.54488E-2, 4.86383E-2, 5.20542E-2, 5.57135E-2, 5.96350E-2, 6.17003E-2, 6.38389E-2}, 
1015   {0.2, 8.15290E-2, 8.62830E-2, 8.87650E-2, 9    1226   {0.2, 8.15290E-2, 8.62830E-2, 8.87650E-2, 9.13200E-2, 9.66589E-2, 1.02320E-1, 1.08326E-1, 1.14701E-1, 1.18035E-1, 1.21472E-1}, 
1016   {0.3, 1.99528E-1, 2.08471E-1, 2.13103E-1, 2    1227   {0.3, 1.99528E-1, 2.08471E-1, 2.13103E-1, 2.17848E-1, 2.27689E-1, 2.38022E-1, 2.48882E-1, 2.60304E-1, 2.66239E-1, 2.72329E-1}, 
1017   {0.4, 3.47383E-1, 3.60369E-1, 3.67073E-1, 3    1228   {0.4, 3.47383E-1, 3.60369E-1, 3.67073E-1, 3.73925E-1, 3.88089E-1, 4.02900E-1, 4.18404E-1, 4.34647E-1, 4.43063E-1, 4.51685E-1}, 
1018   {0.5, 5.11214E-1, 5.27935E-1, 5.36554E-1, 5    1229   {0.5, 5.11214E-1, 5.27935E-1, 5.36554E-1, 5.45354E-1, 5.63515E-1, 5.82470E-1, 6.02273E-1, 6.22986E-1, 6.33705E-1, 6.44677E-1}, 
1019   {0.6, 6.82122E-1, 7.02260E-1, 7.12631E-1, 7    1230   {0.6, 6.82122E-1, 7.02260E-1, 7.12631E-1, 7.23214E-1, 7.45041E-1, 7.67800E-1, 7.91559E-1, 8.16391E-1, 8.29235E-1, 8.42380E-1}, 
1020   {0.7, 8.54544E-1, 8.77814E-1, 8.89791E-1, 9    1231   {0.7, 8.54544E-1, 8.77814E-1, 8.89791E-1, 9.02008E-1, 9.27198E-1, 9.53454E-1, 9.80856E-1, 1.00949, 1.02430, 1.03945}, 
1021   {0.8, 1.02508, 1.05121, 1.06466, 1.07838, 1    1232   {0.8, 1.02508, 1.05121, 1.06466, 1.07838, 1.10667, 1.13615, 1.16692, 1.19907, 1.21570, 1.23272}, 
1022   {1.0, 1.35307, 1.38429, 1.40036, 1.41676, 1    1233   {1.0, 1.35307, 1.38429, 1.40036, 1.41676, 1.45057, 1.48582, 1.52263, 1.56111, 1.58102, 1.60140}, 
1023   {1.2, 1.65823, 1.69385, 1.71220, 1.73092, 1    1234   {1.2, 1.65823, 1.69385, 1.71220, 1.73092, 1.76954, 1.80983, 1.85192, 1.89596, 1.91876, 1.94211}, 
1024   {1.4, 1.93902, 1.97852, 1.99887, 2.01964, 2    1235   {1.4, 1.93902, 1.97852, 1.99887, 2.01964, 2.06251, 2.10727, 2.15406, 2.20304, 2.22842, 2.25442}, 
1025   {1.5, 2.07055, 2.11182, 2.13309, 2.15480, 2    1236   {1.5, 2.07055, 2.11182, 2.13309, 2.15480, 2.19963, 2.24644, 2.29539, 2.34666, 2.37323, 2.40045}, 
1026   {1.7, 2.31700, 2.36154, 2.38451, 2.40798, 2    1237   {1.7, 2.31700, 2.36154, 2.38451, 2.40798, 2.45641, 2.50703, 2.56000, 2.61552, 2.64430, 2.67381}, 
1027   {2.0, 2.64162, 2.69053, 2.71576, 2.74154, 2    1238   {2.0, 2.64162, 2.69053, 2.71576, 2.74154, 2.79481, 2.85052, 2.90887, 2.97009, 3.00185, 3.03442}, 
1028   {3.0, 3.51376, 3.57394, 3.60503, 3.63684, 3    1239   {3.0, 3.51376, 3.57394, 3.60503, 3.63684, 3.70268, 3.77170, 3.84418, 3.92040, 3.96003, 4.00073}, 
1029   {5.0, 4.59935, 4.67433, 4.71316, 4.75293, 4    1240   {5.0, 4.59935, 4.67433, 4.71316, 4.75293, 4.83543, 4.92217, 5.01353, 5.10992, 5.16014, 5.21181}, 
1030   {7.0, 5.28542, 5.37040, 5.41445, 5.45962, 5    1241   {7.0, 5.28542, 5.37040, 5.41445, 5.45962, 5.55344, 5.65226, 5.79496, 5.90517, 5.96269, 6.02191}, 
1031   {10.0, 5.98474, 6.08046, 6.13015, 6.18112,     1242   {10.0, 5.98474, 6.08046, 6.13015, 6.18112, 6.28715, 6.39903, 6.51728, 6.64249, 6.70792, 6.77535}
1032   };                                             1243   }; 
1033                                                  1244 
1034   const G4double bls1[28][10] = {                1245   const G4double bls1[28][10] = { 
1035   {0.005, 2.4111E-4, 2.5612E-4, 2.7202E-4, 3.    1246   {0.005, 2.4111E-4, 2.5612E-4, 2.7202E-4, 3.0658E-4, 3.4511E-4, 3.8795E-4, 4.3542E-4, 4.6100E-4, 4.8786E-4}, 
1036   {0.007, 6.3947E-4, 6.7058E-4, 7.0295E-4, 7.    1247   {0.007, 6.3947E-4, 6.7058E-4, 7.0295E-4, 7.7167E-4, 8.4592E-4, 9.2605E-4, 1.0125E-3, 1.0583E-3, 1.1058E-3}, 
1037   {0.01, 1.5469E-3, 1.6036E-3, 1.6622E-3, 1.7    1248   {0.01, 1.5469E-3, 1.6036E-3, 1.6622E-3, 1.7856E-3, 1.9181E-3, 2.1615E-3, 2.3178E-3, 2.4019E-3, 2.4904E-3}, 
1038   {0.015, 3.7221E-3, 3.8404E-3, 3.9650E-3, 4.    1249   {0.015, 3.7221E-3, 3.8404E-3, 3.9650E-3, 4.2354E-3, 4.5396E-3, 4.8853E-3, 5.2820E-3, 5.5031E-3, 5.7414E-3}, 
1039   {0.02, 6.9449E-3, 7.1910E-3, 7.4535E-3, 8.0    1250   {0.02, 6.9449E-3, 7.1910E-3, 7.4535E-3, 8.0336E-3, 8.6984E-3, 9.4638E-3, 1.0348E-2, 1.0841E-2, 1.1372E-2}, 
1040   {0.03, 1.7411E-2, 1.8180E-2, 1.8997E-2, 2.0    1251   {0.03, 1.7411E-2, 1.8180E-2, 1.8997E-2, 2.0784E-2, 2.2797E-2, 2.5066E-2, 2.7622E-2, 2.9020E-2, 3.0503E-2}, 
1041   {0.04, 3.8474E-2, 4.0056E-2, 4.1718E-2, 4.5    1252   {0.04, 3.8474E-2, 4.0056E-2, 4.1718E-2, 4.5300E-2, 4.9254E-2, 5.3619E-2, 5.8436E-2, 6.1028E-2, 6.3752E-2}, 
1042   {0.05, 6.7371E-2, 6.9928E-2, 7.2596E-2, 7.8    1253   {0.05, 6.7371E-2, 6.9928E-2, 7.2596E-2, 7.8282E-2, 8.4470E-2, 9.1206E-2, 9.8538E-2, 1.0244E-1, 1.0652E-1}, 
1043   {0.06, 1.0418E-1, 1.0778E-1, 1.1152E-1, 1.1    1254   {0.06, 1.0418E-1, 1.0778E-1, 1.1152E-1, 1.1943E-1, 1.2796E-1, 1.3715E-1, 1.4706E-1, 1.5231E-1, 1.5776E-1}, 
1044   {0.08, 1.9647E-1, 2.0217E-1, 2.0805E-1, 2.2    1255   {0.08, 1.9647E-1, 2.0217E-1, 2.0805E-1, 2.2038E-1, 2.3351E-1, 2.4751E-1, 2.6244E-1, 2.7027E-1, 2.7837E-1}, 
1045   {0.1, 3.0594E-1, 3.1361E-1, 3.2150E-1, 3.37    1256   {0.1, 3.0594E-1, 3.1361E-1, 3.2150E-1, 3.3796E-1, 3.5537E-1, 3.7381E-1, 3.9336E-1, 4.0357E-1, 4.1410E-1}, 
1046   {0.15, 6.1411E-1, 6.2597E-1, 6.3811E-1, 6.6    1257   {0.15, 6.1411E-1, 6.2597E-1, 6.3811E-1, 6.6330E-1, 6.8974E-1, 7.1753E-1, 7.4678E-1, 7.6199E-1, 7.7761E-1}, 
1047   {0.2, 9.3100E-1, 9.5614E-1, 9.7162E-1, 1.00    1258   {0.2, 9.3100E-1, 9.5614E-1, 9.7162E-1, 1.0037, 1.0372, 1.0723, 1.1092, 1.1284, 1.1480}, 
1048   {0.3, 1.5172, 1.5372, 1.5576, 1.5998, 1.643    1259   {0.3, 1.5172, 1.5372, 1.5576, 1.5998, 1.6438, 1.6899, 1.7382, 1.7632, 1.7889}, 
1049   {0.4, 2.0173, 2.0408, 2.0647, 2.1142, 2.165    1260   {0.4, 2.0173, 2.0408, 2.0647, 2.1142, 2.1659, 2.2199, 2.2765, 2.3059, 2.3360}, 
1050   {0.5, 2.3932, 2.4193, 2.4460, 2.5011, 2.558    1261   {0.5, 2.3932, 2.4193, 2.4460, 2.5011, 2.5587, 2.6190, 2.6821, 2.7148, 2.7484}, 
1051   {0.6, 2.7091, 2.7374, 2.7663, 2.8260, 2.888    1262   {0.6, 2.7091, 2.7374, 2.7663, 2.8260, 2.8884, 2.9538, 3.0222, 3.0577, 3.0941}, 
1052   {0.7, 2.9742, 3.0044, 3.0352, 3.0988, 3.165    1263   {0.7, 2.9742, 3.0044, 3.0352, 3.0988, 3.1652, 3.2349, 3.3079, 3.3457, 3.3845}, 
1053   {0.8, 3.2222, 3.2539, 3.2863, 3.3532, 3.423    1264   {0.8, 3.2222, 3.2539, 3.2863, 3.3532, 3.4232, 3.4965, 3.5734, 3.6133, 3.6542}, 
1054   {1.0, 3.6690, 3.7033, 3.7384, 3.8108, 3.886    1265   {1.0, 3.6690, 3.7033, 3.7384, 3.8108, 3.8866, 3.9661, 4.0495, 4.0928, 4.1371}, 
1055   {1.2, 3.9819, 4.0183, 4.0555, 4.1324, 4.213    1266   {1.2, 3.9819, 4.0183, 4.0555, 4.1324, 4.2130, 4.2974, 4.3861, 4.4321, 4.4794}, 
1056   {1.4, 4.2745, 4.3127, 4.3517, 4.4324, 4.517    1267   {1.4, 4.2745, 4.3127, 4.3517, 4.4324, 4.5170, 4.6056, 4.6988, 4.7471, 4.7968}, 
1057   {1.5, 4.4047, 4.4436, 4.4834, 4.5658, 4.652    1268   {1.5, 4.4047, 4.4436, 4.4834, 4.5658, 4.6521, 4.7426, 4.8378, 4.8872, 4.9379}, 
1058   {1.7, 4.6383, 4.6787, 4.7200, 4.8054, 4.894    1269   {1.7, 4.6383, 4.6787, 4.7200, 4.8054, 4.8949, 4.9888, 5.0876, 5.1388, 5.1915}, 
1059   {2.0, 4.9369, 4.9791, 5.0223, 5.1116, 5.205    1270   {2.0, 4.9369, 4.9791, 5.0223, 5.1116, 5.2053, 5.3036, 5.4070, 5.4607, 5.5159}, 
1060   {3.0, 5.6514, 5.6981, 5.7459, 5.8450, 5.948    1271   {3.0, 5.6514, 5.6981, 5.7459, 5.8450, 5.9489, 6.0581, 6.1730, 6.2328, 6.2943}, 
1061   {5.0, 6.4665, 6.5189, 6.5724, 6.6835, 6.800    1272   {5.0, 6.4665, 6.5189, 6.5724, 6.6835, 6.8003, 6.9231, 7.0525, 7.1199, 7.1892}, 
1062   {7.0, 6.8634, 6.9194, 6.9767, 7.0957, 7.220    1273   {7.0, 6.8634, 6.9194, 6.9767, 7.0957, 7.2208, 7.3526, 7.4915, 7.5639, 7.6384}
1063   };                                             1274   };
1064                                                  1275  
1065   const G4double bls2[28][10] = {                1276   const G4double bls2[28][10] = { 
1066   {0.005, 5.4561E-4, 6.0905E-4, 6.7863E-4, 7.    1277   {0.005, 5.4561E-4, 6.0905E-4, 6.7863E-4, 7.5494E-4, 7.9587E-4, 8.3883E-4, 9.3160E-4, 1.0352E-3, 1.1529E-3}, 
1067   {0.007, 1.2068E-3, 1.3170E-3, 1.4377E-3, 1.    1278   {0.007, 1.2068E-3, 1.3170E-3, 1.4377E-3, 1.5719E-3, 1.6451E-3, 1.7231E-3, 1.8969E-3, 2.1009E-3, 2.3459E-3}, 
1068   {0.01, 2.6832E-3, 2.9017E-3, 3.1534E-3, 3.4    1279   {0.01, 2.6832E-3, 2.9017E-3, 3.1534E-3, 3.4479E-3, 3.6149E-3, 3.7976E-3, 4.2187E-3, 4.7320E-3, 5.3636E-3}, 
1069   {0.015, 6.2775E-3, 6.9077E-3, 7.6525E-3, 8.    1280   {0.015, 6.2775E-3, 6.9077E-3, 7.6525E-3, 8.5370E-2, 9.0407E-3, 9.5910E-3, 1.0850E-2, 1.2358E-2, 1.4165E-2}, 
1070   {0.02, 1.2561E-2, 1.3943E-2, 1.5553E-2, 1.7    1281   {0.02, 1.2561E-2, 1.3943E-2, 1.5553E-2, 1.7327E-2, 1.8478E-2, 1.9612E-2, 2.2160E-2, 2.5130E-2, 2.8594E-2}, 
1071   {0.03, 3.3750E-2, 3.7470E-2, 4.1528E-2, 4.6    1282   {0.03, 3.3750E-2, 3.7470E-2, 4.1528E-2, 4.6170E-2, 4.8708E-2, 5.1401E-2, 5.7297E-2, 6.3943E-2, 7.1441E-2}, 
1072   {0.04, 6.9619E-2, 7.6098E-2, 8.3249E-2, 9.1    1283   {0.04, 6.9619E-2, 7.6098E-2, 8.3249E-2, 9.1150E-2, 9.5406E-2, 9.9881E-2, 1.0954E-1, 1.2023E-1, 1.3208E-1}, 
1073   {0.05, 1.1522E-1, 1.2470E-1, 1.3504E-1, 1.4    1284   {0.05, 1.1522E-1, 1.2470E-1, 1.3504E-1, 1.4632E-1, 1.5234E-1, 1.5864E-1, 1.7211E-1, 1.8686E-1, 2.0304E-1}, 
1074   {0.06, 1.6931E-1, 1.8179E-1, 1.9530E-1, 2.0    1285   {0.06, 1.6931E-1, 1.8179E-1, 1.9530E-1, 2.0991E-1, 2.1767E-1, 2.2576E-1, 2.4295E-1, 2.6165E-1, 2.8201E-1}, 
1075   {0.08, 2.9540E-1, 3.1361E-1, 3.3312E-1, 3.5    1286   {0.08, 2.9540E-1, 3.1361E-1, 3.3312E-1, 3.5403E-1, 3.6506E-1, 3.7650E-1, 4.0067E-1, 4.2673E-1, 4.5488E-1}, 
1076   {0.1,  4.3613E-1, 4.5956E-1,  4.852E-1, 5.1    1287   {0.1,  4.3613E-1, 4.5956E-1,  4.852E-1, 5.1115E-1, 5.2514E-1, 5.3961E-1, 5.7008E-1, 6.0277E-1, 6.3793E-1}, 
1077   {0.15, 8.1014E-1, 8.4453E-1, 8.8093E-1, 9.1    1288   {0.15, 8.1014E-1, 8.4453E-1, 8.8093E-1, 9.1954E-1, 9.3973E-1, 9.6056E-1, 1.0043, 1.0509, 1.1008}, 
1078   {0.2, 1.1888, 1.2319, 1.2774, 1.3255, 1.350    1289   {0.2, 1.1888, 1.2319, 1.2774, 1.3255, 1.3506, 1.3765, 1.4308, 1.4886, 1.5504}, 
1079   {0.3, 1.8422, 1.8983, 1.9575, 2.0201, 2.052    1290   {0.3, 1.8422, 1.8983, 1.9575, 2.0201, 2.0528, 2.0864, 2.1569, 2.2319, 2.3120}, 
1080   {0.4, 2.3984, 2.4642, 2.5336, 2.6070, 2.645    1291   {0.4, 2.3984, 2.4642, 2.5336, 2.6070, 2.6452, 2.6847, 2.7674, 2.8554, 2.9494}, 
1081   {0.5, 2.8181, 2.8915, 2.9690, 3.0509, 3.093    1292   {0.5, 2.8181, 2.8915, 2.9690, 3.0509, 3.0937, 3.1378, 3.2301, 3.3285, 3.4337}, 
1082   {0.6, 3.1698, 3.2494, 3.3336, 3.4226, 3.469    1293   {0.6, 3.1698, 3.2494, 3.3336, 3.4226, 3.4691, 3.5171, 3.6175, 3.7246, 3.8391}, 
1083   {0.7, 3.4652, 3.5502, 3.6400, 3.7351, 3.784    1294   {0.7, 3.4652, 3.5502, 3.6400, 3.7351, 3.7848, 3.8360, 3.9433, 4.0578, 4.1804}, 
1084   {0.8, 3.7392, 3.8289, 3.9236, 4.0239, 4.076    1295   {0.8, 3.7392, 3.8289, 3.9236, 4.0239, 4.0764, 4.1304, 4.2438, 4.3648, 4.4944}, 
1085   {1.0, 4.2295, 4.3269, 4.4299, 4.5391, 4.596    1296   {1.0, 4.2295, 4.3269, 4.4299, 4.5391, 4.5962, 4.6551, 4.7786, 4.9106, 5.0520}, 
1086   {1.2, 4.5777, 4.6814, 4.7912, 4.9076, 4.968    1297   {1.2, 4.5777, 4.6814, 4.7912, 4.9076, 4.9685, 5.0314, 5.1633, 5.3043, 5.4555}, 
1087   {1.4, 4.9001, 5.0092, 5.1247, 5.2473, 5.311    1298   {1.4, 4.9001, 5.0092, 5.1247, 5.2473, 5.3114, 5.3776, 5.5166, 5.6653, 5.8249}, 
1088   {1.5, 5.0434, 5.1550, 5.2731, 5.3984, 5.464    1299   {1.5, 5.0434, 5.1550, 5.2731, 5.3984, 5.4640, 5.5317, 5.6739, 5.8260, 5.9893}, 
1089   {1.7, 5.3011, 5.4170, 5.5398, 5.6701, 5.737    1300   {1.7, 5.3011, 5.4170, 5.5398, 5.6701, 5.7373, 5.8088, 5.9568, 6.1152, 6.2853}, 
1090   {2.0, 5.6308, 5.7523, 5.8811, 6.0174, 6.089    1301   {2.0, 5.6308, 5.7523, 5.8811, 6.0174, 6.0896, 6.1636, 6.3192, 6.4857, 6.6647}, 
1091   {3.0, 6.4224, 6.5580, 6.7019, 6.8549, 6.935    1302   {3.0, 6.4224, 6.5580, 6.7019, 6.8549, 6.9351, 7.0180, 7.1925, 7.3795, 7.5808}, 
1092   {5.0, 7.3338, 7.4872, 7.6500, 7.8235, 7.914    1303   {5.0, 7.3338, 7.4872, 7.6500, 7.8235, 7.9146, 8.0087, 8.2071, 8.4200, 8.6496}, 
1093   {7.0, 7.7938, 7.9588, 8.1342, 8.3211, 8.419    1304   {7.0, 7.7938, 7.9588, 8.1342, 8.3211, 8.4193, 8.5209, 8.7350, 8.9651, 9.2133}
1094   };                                             1305   }; 
1095                                                  1306  
1096   const G4double bls3[28][9] = {                 1307   const G4double bls3[28][9] = { 
1097   {0.005, 1.2895E-3, 1.3670E-3, 1.4524E-3, 1.    1308   {0.005, 1.2895E-3, 1.3670E-3, 1.4524E-3, 1.6524E-3, 1.9078E-3, 2.2414E-3, 2.6889E-3, 3.3006E-3}, 
1098   {0.007, 2.6467E-3, 2.8242E-3, 3.0238E-3, 3.    1309   {0.007, 2.6467E-3, 2.8242E-3, 3.0238E-3, 3.5045E-3, 4.1260E-3, 4.9376E-3, 6.0050E-3, 7.4152E-3}, 
1099   {0.01, 6.1472E-3, 6.6086E-3, 7.1246E-3, 8.3    1310   {0.01, 6.1472E-3, 6.6086E-3, 7.1246E-3, 8.3491E-3, 9.8871E-3, 1.1822E-2, 1.4261E-2, 1.7335E-2}, 
1100   {0.015, 1.63316E-2, 1.7572E-2, 1.8932E-2, 2    1311   {0.015, 1.63316E-2, 1.7572E-2, 1.8932E-2, 2.2053E-2, 2.5803E-2, 3.0308E-2, 3.5728E-2, 4.2258E-2}, 
1101   {0.02, 3.2634E-2, 3.4900E-2, 3.7348E-2, 4.2    1312   {0.02, 3.2634E-2, 3.4900E-2, 3.7348E-2, 4.2850E-2, 4.9278E-2, 5.6798E-2, 6.5610E-2, 7.5963E-2}, 
1102   {0.03, 7.9907E-2, 8.4544E-2, 8.9486E-2, 1.0    1313   {0.03, 7.9907E-2, 8.4544E-2, 8.9486E-2, 1.0032E-1, 1.1260E-1, 1.2656E-1, 1.4248E-1, 1.6071E-1}, 
1103   {0.04, 1.4523E-1, 1.5237E-1, 1.5985E-1, 1.7    1314   {0.04, 1.4523E-1, 1.5237E-1, 1.5985E-1, 1.7614E-1, 1.9434E-1, 2.1473E-1, 2.3766E-1, 2.6357E-1}, 
1104   {0.05, 2.2082E-1, 2.3036E-1, 2.4038E-1, 2.6    1315   {0.05, 2.2082E-1, 2.3036E-1, 2.4038E-1, 2.6199E-1, 2.8590E-1, 3.1248E-1, 3.4212E-1, 3.7536E-1}, 
1105   {0.06, 3.0423E-1, 3.1611E-1, 3.2854E-1, 3.5    1316   {0.06, 3.0423E-1, 3.1611E-1, 3.2854E-1, 3.5522E-1, 3.8459E-1, 4.1704E-1, 4.5306E-1, 4.9326E-1}, 
1106   {0.08, 4.8536E-1, 5.0156E-1, 5.1846E-1, 5.5    1317   {0.08, 4.8536E-1, 5.0156E-1, 5.1846E-1, 5.5453E-1, 5.9397E-1, 6.3728E-1, 6.8507E-1, 7.3810E-1}, 
1107   {0.1, 6.7586E-1, 6.9596E-1, 7.1688E-1, 7.61    1318   {0.1, 6.7586E-1, 6.9596E-1, 7.1688E-1, 7.6141E-1, 8.0992E-1, 8.6301E-1, 9.2142E-1, 9.8604E-1}, 
1108   {0.15, 1.1544, 1.1828, 1.2122, 1.2746, 1.34    1319   {0.15, 1.1544, 1.1828, 1.2122, 1.2746, 1.3424, 1.4163, 1.4974, 1.5868}, 
1109   {0.2, 1.6167, 1.6517, 1.6880, 1.7650, 1.848    1320   {0.2, 1.6167, 1.6517, 1.6880, 1.7650, 1.8484, 1.9394, 2.0390, 2.1489}, 
1110   {0.3, 2.3979, 2.4432, 2.4902, 2.5899, 2.698    1321   {0.3, 2.3979, 2.4432, 2.4902, 2.5899, 2.6980, 2.8159, 2.9451, 3.0876}, 
1111   {0.4, 3.0502, 3.1034, 3.1586, 3.2758, 3.403    1322   {0.4, 3.0502, 3.1034, 3.1586, 3.2758, 3.4030, 3.5416, 3.6938, 3.8620}, 
1112   {0.5, 3.5466, 3.6062, 3.6681, 3.7994, 3.942    1323   {0.5, 3.5466, 3.6062, 3.6681, 3.7994, 3.9421, 4.0978, 4.2688, 4.4580}, 
1113   {0.6, 3.9620, 4.0270, 4.0945, 4.2378, 4.393    1324   {0.6, 3.9620, 4.0270, 4.0945, 4.2378, 4.3935, 4.5636, 4.7506, 4.9576}, 
1114   {0.7, 4.3020, 4.3715, 4.4438, 4.5974, 4.764    1325   {0.7, 4.3020, 4.3715, 4.4438, 4.5974, 4.7644, 4.9470, 5.1478, 5.3703}, 
1115   {0.8, 4.6336, 4.7072, 4.7837, 4.9463, 5.123    1326   {0.8, 4.6336, 4.7072, 4.7837, 4.9463, 5.1233, 5.3169, 5.5300, 5.7661}, 
1116   {1.0, 5.2041, 5.2845, 5.3682, 5.5462, 5.740    1327   {1.0, 5.2041, 5.2845, 5.3682, 5.5462, 5.7400, 5.9523, 6.1863, 6.4458}, 
1117   {1.2, 5.6182, 5.7044, 5.7940, 5.9848, 6.192    1328   {1.2, 5.6182, 5.7044, 5.7940, 5.9848, 6.1927, 6.4206, 6.6719, 6.9510}, 
1118   {1.4, 5.9967, 6.0876, 6.1823, 6.3839, 6.603    1329   {1.4, 5.9967, 6.0876, 6.1823, 6.3839, 6.6038, 6.8451, 7.1113, 7.4071}, 
1119   {1.5, 6.1652, 6.2583, 6.3553, 6.5618, 6.787    1330   {1.5, 6.1652, 6.2583, 6.3553, 6.5618, 6.7871, 7.0344, 7.3073, 7.6107}, 
1120   {1.7, 6.4686, 6.5657, 6.6668, 6.8823, 7.117    1331   {1.7, 6.4686, 6.5657, 6.6668, 6.8823, 7.1175, 7.3757, 7.6609, 7.9782}, 
1121   {2.0, 6.8577, 6.9600, 7.0666, 7.2937, 7.541    1332   {2.0, 6.8577, 6.9600, 7.0666, 7.2937, 7.5418, 7.8143, 8.1156, 8.4510}, 
1122   {3.0, 7.7981, 7.9134, 8.0336, 8.2901, 8.570    1333   {3.0, 7.7981, 7.9134, 8.0336, 8.2901, 8.5708, 8.8796, 9.2214, 9.6027}, 
1123   {5.0, 8.8978, 9.0297, 9.1673, 9.4612, 9.783    1334   {5.0, 8.8978, 9.0297, 9.1673, 9.4612, 9.7834, 10.1384, 10.5323, 10.9722}, 
1124   {7.0, 9.4819, 9.6248, 9.7739, 10.0926, 10.4    1335   {7.0, 9.4819, 9.6248, 9.7739, 10.0926, 10.4423, 10.8282, 11.2565, 11.7356}
1125   };                                             1336   }; 
1126                                                  1337 
1127   const G4double bll1[28][10] = {                1338   const G4double bll1[28][10] = { 
1128   {0.005, 3.6324E-5, 4.0609E-5, 4.5430E-5, 5.    1339   {0.005, 3.6324E-5, 4.0609E-5, 4.5430E-5, 5.6969E-5, 7.1625E-5, 9.0279E-5, 1.1407E-4, 1.2834E-4, 1.4447E-4}, 
1129   {0.007, 1.8110E-4, 2.0001E-4, 2.2099E-4, 2.    1340   {0.007, 1.8110E-4, 2.0001E-4, 2.2099E-4, 2.7006E-4, 3.3049E-4, 4.0498E-4, 4.9688E-4, 5.5061E-4, 6.1032E-4}, 
1130   {0.01, 8.6524E-4, 9.4223E-4, 1.0262E-3, 1.2    1341   {0.01, 8.6524E-4, 9.4223E-4, 1.0262E-3, 1.2178E-3, 1.4459E-3, 1.7174E-3, 2.0405E-3, 2.2245E-3, 2.4252E-3}, 
1131   {0.015, 4.2293E-3, 4.5314E-3, 4.8551E-3, 5.    1342   {0.015, 4.2293E-3, 4.5314E-3, 4.8551E-3, 5.5731E-3, 6.3968E-3, 7.3414E-3, 8.4242E-3, 9.0236E-3, 9.6652E-3}, 
1132   {0.02, 1.1485E-2, 1.2172E-2, 1.2900E-2, 1.4    1343   {0.02, 1.1485E-2, 1.2172E-2, 1.2900E-2, 1.4486E-2, 1.6264E-2, 1.8256E-2, 2.0487E-2, 2.1702E-2, 2.2989E-2}, 
1133   {0.03, 3.9471E-2, 4.1270E-2, 4.3149E-2, 4.7    1344   {0.03, 3.9471E-2, 4.1270E-2, 4.3149E-2, 4.7163E-2, 5.1543E-2, 5.6423E-2, 6.1540E-2, 6.4326E-2, 6.7237E-2}, 
1134   {0.04, 8.4454E-2, 8.7599E-2, 9.0860E-2, 9.7    1345   {0.04, 8.4454E-2, 8.7599E-2, 9.0860E-2, 9.7747E-2, 1.0516E-1, 1.1313E-1, 1.2171E-1, 1.2625E-1, 1.3096E-1}, 
1135   {0.05, 1.4339E-1, 1.4795E-1, 1.5266E-1, 1.6    1346   {0.05, 1.4339E-1, 1.4795E-1, 1.5266E-1, 1.6253E-1, 1.7306E-1, 1.8430E-1, 1.9630E-1, 2.0261E-1, 2.0924E-1}, 
1136   {0.06, 2.1304E-1, 2.1899E-1, 2.2512E-1, 2.3    1347   {0.06, 2.1304E-1, 2.1899E-1, 2.2512E-1, 2.3794E-1, 2.5153E-1, 2.6596E-1, 2.8130E-1, 2.8934E-1, 2.9763E-1}, 
1137   {0.08, 3.7382E-1, 3.8241E-1, 3.9122E-1, 4.0    1348   {0.08, 3.7382E-1, 3.8241E-1, 3.9122E-1, 4.0955E-1, 4.2888E-1, 4.4928E-1, 4.7086E-1, 4.8212E-1, 4.9371E-1}, 
1138   {0.1, 5.5056E-1, 5.6151E-1, 5.7273E-1, 5.96    1349   {0.1, 5.5056E-1, 5.6151E-1, 5.7273E-1, 5.9601E-1, 6.2049E-1, 6.4627E-1, 6.7346E-1, 6.8762E-1, 7.0218E-1}, 
1139   {0.15, 1.0066, 1.0224, 1.0386, 1.0721, 1.10    1350   {0.15, 1.0066, 1.0224, 1.0386, 1.0721, 1.1073, 1.1443, 1.1832, 1.2035, 1.2243}, 
1140   {0.2, 1.4376, 1.4572, 1.4773, 1.5188, 1.562    1351   {0.2, 1.4376, 1.4572, 1.4773, 1.5188, 1.5624, 1.6083, 1.6566, 1.6817, 1.7076}, 
1141   {0.3, 2.1712, 2.1964, 2.2223, 2.2758, 2.332    1352   {0.3, 2.1712, 2.1964, 2.2223, 2.2758, 2.3322, 2.3915, 2.4542, 2.4869, 2.5205}, 
1142   {0.4, 2.7500, 2.7793, 2.8094, 2.8719, 2.937    1353   {0.4, 2.7500, 2.7793, 2.8094, 2.8719, 2.9377, 3.0072, 3.0807, 3.1192, 3.1587}, 
1143   {0.5, 3.2033, 3.2359, 3.2693, 3.3389, 3.412    1354   {0.5, 3.2033, 3.2359, 3.2693, 3.3389, 3.4122, 3.4898, 3.5721, 3.6151, 3.6595}, 
1144   {0.6, 3.6038, 3.6391, 3.6753, 3.7506, 3.830    1355   {0.6, 3.6038, 3.6391, 3.6753, 3.7506, 3.8303, 3.9146, 4.0042, 4.0511, 4.0995}, 
1145   {0.7, 3.9106, 3.9482, 3.9867, 4.0670, 4.152    1356   {0.7, 3.9106, 3.9482, 3.9867, 4.0670, 4.1520, 4.2421, 4.3380, 4.3882, 4.4401}, 
1146   {0.8, 4.1790, 4.2185, 4.2590, 4.3437, 4.433    1357   {0.8, 4.1790, 4.2185, 4.2590, 4.3437, 4.4333, 4.5285, 4.6298, 4.6830, 4.7380}, 
1147   {1.0, 4.6344, 4.6772, 4.7212, 4.8131, 4.910    1358   {1.0, 4.6344, 4.6772, 4.7212, 4.8131, 4.9106, 5.0144, 5.1250, 5.1831, 5.2432}, 
1148   {1.2, 4.9787, 5.0242, 5.0711, 5.1689, 5.272    1359   {1.2, 4.9787, 5.0242, 5.0711, 5.1689, 5.2729, 5.3837, 5.5050, 5.5642, 5.6287}, 
1149   {1.4, 5.2688, 5.3166, 5.3658, 5.4687, 5.578    1360   {1.4, 5.2688, 5.3166, 5.3658, 5.4687, 5.5782, 5.6950, 5.8198, 5.8855, 5.9554}, 
1150   {1.5, 5.3966, 5.4454, 5.4957, 5.6009, 5.712    1361   {1.5, 5.3966, 5.4454, 5.4957, 5.6009, 5.7128, 5.8323, 5.9601, 6.0274, 6.0972}, 
1151   {1.7, 5.6255, 5.6762, 5.7284, 5.8377, 5.954    1362   {1.7, 5.6255, 5.6762, 5.7284, 5.8377, 5.9541, 6.0785, 6.2116, 6.2818, 6.3546}, 
1152   {2.0, 5.9170, 5.9701, 6.0248, 6.1395, 6.261    1363   {2.0, 5.9170, 5.9701, 6.0248, 6.1395, 6.2618, 6.3925, 6.5327, 6.6066, 6.6833}, 
1153   {3.0, 6.6210, 6.6801, 6.7411, 6.8692, 7.006    1364   {3.0, 6.6210, 6.6801, 6.7411, 6.8692, 7.0062, 7.1529, 7.3107, 7.3941, 7.4807}, 
1154   {5.0, 7.4620, 7.5288, 7.5977, 7.7428, 7.898    1365   {5.0, 7.4620, 7.5288, 7.5977, 7.7428, 7.8982, 8.0653, 8.2454, 8.3409, 8.4402}, 
1155   {7.0, 7.7362, 7.8079, 7.8821, 8.0383, 8.206    1366   {7.0, 7.7362, 7.8079, 7.8821, 8.0383, 8.2061, 8.3866, 8.5816, 8.6850, 8.7927}
1156   };                                             1367   }; 
1157                                                  1368 
1158   const G4double bll2[28][10] = {                1369   const G4double bll2[28][10] = { 
1159   {0.005, 1.8339E-4, 2.3330E-4, 2.9738E-4, 3.    1370   {0.005, 1.8339E-4, 2.3330E-4, 2.9738E-4, 3.7977E-4, 4.2945E-4, 4.8582E-4, 6.2244E-4, 7.9858E-4, 1.0258E-3}, 
1160   {0.007, 7.5042E-4, 9.2355E-4, 1.1375E-3, 1.    1371   {0.007, 7.5042E-4, 9.2355E-4, 1.1375E-3, 1.4021E-3, 1.5570E-3, 1.7292E-3, 2.1335E-3, 2.6335E-3, 3.2515E-3}, 
1161   {0.01, 2.8829E-3, 3.4275E-3, 4.0758E-3, 4.8    1372   {0.01, 2.8829E-3, 3.4275E-3, 4.0758E-3, 4.8457E-3, 5.2839E-3, 5.7617E-3, 6.8504E-3, 8.1442E-3, 9.6816E-3}, 
1162   {0.015, 1.1087E-2, 1.2716E-2, 1.4581E-2, 1.    1373   {0.015, 1.1087E-2, 1.2716E-2, 1.4581E-2, 1.6717E-2, 1.7898E-2, 1.9163E-2, 2.1964E-2, 2.5173E-2, 2.8851E-2}, 
1163   {0.02, 2.5786E-2, 2.8922E-2, 3.2435E-2, 3.6    1374   {0.02, 2.5786E-2, 2.8922E-2, 3.2435E-2, 3.6371E-2, 3.8514E-2, 4.0784E-2, 4.5733E-2, 5.1288E-2, 5.7531E-2}, 
1164   {0.03, 7.3461E-2, 8.0264E-2, 8.7705E-2, 9.5    1375   {0.03, 7.3461E-2, 8.0264E-2, 8.7705E-2, 9.5852E-2, 1.0021E-1, 1.0478E-1, 1.1458E-1, 1.2535E-1, 1.3721E-1}, 
1165   {0.04, 1.4094E-1, 1.5172E-1, 1.6336E-1, 1.7    1376   {0.04, 1.4094E-1, 1.5172E-1, 1.6336E-1, 1.7596E-1, 1.8265E-1, 1.8962E-1, 2.0445E-1, 2.2058E-1, 2.3818E-1}, 
1166   {0.05, 2.2289E-1, 2.3762E-1, 2.5344E-1, 2.7    1377   {0.05, 2.2289E-1, 2.3762E-1, 2.5344E-1, 2.7045E-1, 2.7944E-1, 2.8877E-1, 3.0855E-1, 3.2995E-1, 3.5318E-1}, 
1167   {0.06, 3.1503E-1, 3.3361E-1, 3.5346E-1, 3.7    1378   {0.06, 3.1503E-1, 3.3361E-1, 3.5346E-1, 3.7473E-1, 3.8594E-1, 3.9756E-1, 4.2212E-1, 4.4861E-1, 4.7727E-1}, 
1168   {0.08, 5.1793E-1, 5.4368E-1, 5.7109E-1, 6.0    1379   {0.08, 5.1793E-1, 5.4368E-1, 5.7109E-1, 6.0032E-1, 6.1569E-1, 6.3159E-1, 6.6512E-1, 7.0119E-1, 7.4012E-1}, 
1169   {0.1, 7.3258E-1, 7.6481E-1, 7.9907E-1, 8.35    1380   {0.1, 7.3258E-1, 7.6481E-1, 7.9907E-1, 8.3556E-1, 8.5472E-1, 8.7454E-1, 9.1630E-1, 9.6119E-1, 1.0096}, 
1170   {0.15, 1.2677, 1.3137, 1.3626, 1.4147, 1.44    1381   {0.15, 1.2677, 1.3137, 1.3626, 1.4147, 1.4421, 1.4703, 1.5300, 1.5942, 1.6636}, 
1171   {0.2, 1.7615, 1.8188, 1.8797, 1.9446, 1.978    1382   {0.2, 1.7615, 1.8188, 1.8797, 1.9446, 1.9788, 2.0142, 2.0889, 2.1694, 2.2567}, 
1172   {0.3, 2.5909, 2.6658, 2.7457, 2.8312, 2.876    1383   {0.3, 2.5909, 2.6658, 2.7457, 2.8312, 2.8762, 2.9231, 3.0222, 3.1295, 3.2463}, 
1173   {0.4, 3.2417, 3.3302, 3.4249, 3.5266, 3.580    1384   {0.4, 3.2417, 3.3302, 3.4249, 3.5266, 3.5803, 3.6361, 3.7546, 3.8835, 4.0242}, 
1174   {0.5, 3.7527, 3.8523, 3.9591, 4.0741, 4.135    1385   {0.5, 3.7527, 3.8523, 3.9591, 4.0741, 4.1350, 4.1983, 4.3330, 4.4799, 4.6408}, 
1175   {0.6, 4.2013, 4.3103, 4.4274, 4.5537, 4.620    1386   {0.6, 4.2013, 4.3103, 4.4274, 4.5537, 4.6206, 4.6904, 4.8390, 5.0013, 5.1796}, 
1176   {0.7, 4.5493, 4.6664, 4.7925, 4.9286, 5.000    1387   {0.7, 4.5493, 4.6664, 4.7925, 4.9286, 5.0009, 5.0762, 5.2370, 5.4129, 5.6066}, 
1177   {0.8, 4.8537, 4.9780, 5.1119, 5.2568, 5.333    1388   {0.8, 4.8537, 4.9780, 5.1119, 5.2568, 5.3338, 5.4141, 5.5857, 5.7738, 5.9811}, 
1178   {1.0, 5.3701, 5.5066, 5.6540, 5.8138, 5.898    1389   {1.0, 5.3701, 5.5066, 5.6540, 5.8138, 5.8989, 5.9878, 6.1780, 6.3870, 6.6179}, 
1179   {1.2, 5.7648, 5.9114, 6.0701, 6.2424, 6.334    1390   {1.2, 5.7648, 5.9114, 6.0701, 6.2424, 6.3343, 6.4303, 6.6361, 6.8626, 7.1137}, 
1180   {1.4, 6.0976, 6.2530, 6.4214, 6.6044, 6.702    1391   {1.4, 6.0976, 6.2530, 6.4214, 6.6044, 6.7021, 6.8043, 7.0237, 7.2655, 7.5338}, 
1181   {1.5, 6.2447, 6.4041, 6.5768, 6.7647, 6.865    1392   {1.5, 6.2447, 6.4041, 6.5768, 6.7647, 6.8650, 6.9700, 7.1954, 7.4442, 7.7203}, 
1182   {1.7, 6.5087, 6.6752, 6.8558, 7.0526, 7.157    1393   {1.7, 6.5087, 6.6752, 6.8558, 7.0526, 7.1578, 7.2679, 7.5045, 7.7660, 8.0565}, 
1183   {2.0, 6.8458, 7.0218, 7.2129, 7.4213, 7.532    1394   {2.0, 6.8458, 7.0218, 7.2129, 7.4213, 7.5328, 7.6496, 7.9010, 8.1791, 8.4886}, 
1184   {3.0, 7.6647, 7.8644, 8.0819, 8.3189, 8.447    1395   {3.0, 7.6647, 7.8644, 8.0819, 8.3189, 8.4475, 8.5814, 8.8702, 9.1908, 9.5488}, 
1185   {5.0, 8.6515, 8.8816, 9.1330, 9.4090, 9.557    1396   {5.0, 8.6515, 8.8816, 9.1330, 9.4090, 9.5572, 9.7132, 10.0504, 10.4259, 10.8466}, 
1186   {7.0, 9.0221, 9.2724, 9.5464, 9.8477, 10.00    1397   {7.0, 9.0221, 9.2724, 9.5464, 9.8477, 10.0099, 10.1805, 10.5499, 10.9622, 11.4250}
1187   };                                             1398   }; 
1188                                                  1399 
1189   const G4double bll3[28][9] = {                 1400   const G4double bll3[28][9] = { 
1190   {0.005, 1.3190E-3, 1.4961E-3, 1.6974E-3, 2.    1401   {0.005, 1.3190E-3, 1.4961E-3, 1.6974E-3, 2.1858E-3, 2.8163E-3, 3.6302E-3, 4.6814E-3, 6.0395E-3}, 
1191   {0.007, 4.0158E-3, 4.4623E-3, 4.9592E-3, 6.    1402   {0.007, 4.0158E-3, 4.4623E-3, 4.9592E-3, 6.1257E-3, 7.5675E-3, 9.3502E-3, 1.1556E-2, 1.4290E-2}, 
1192   {0.01, 1.1509E-2, 1.2548E-2, 1.3681E-2, 1.6    1403   {0.01, 1.1509E-2, 1.2548E-2, 1.3681E-2, 1.6263E-2, 1.9336E-2, 2.2999E-2, 2.7370E-2, 3.2603E-2}, 
1193   {0.015, 3.3070E-2, 3.5408E-2, 3.7914E-2, 4.    1404   {0.015, 3.3070E-2, 3.5408E-2, 3.7914E-2, 4.3483E-2, 4.9898E-2, 5.7304E-2, 6.5884E-2, 7.5861E-2}, 
1194   {0.02, 6.4555E-2, 6.8394E-2, 7.2472E-2, 8.1    1405   {0.02, 6.4555E-2, 6.8394E-2, 7.2472E-2, 8.1413E-2, 9.1539E-2, 1.0304E-1, 1.1617E-1, 1.3121E-1}, 
1195   {0.03, 1.5030E-1, 1.5101E-1, 1.5844E-1, 1.7    1406   {0.03, 1.5030E-1, 1.5101E-1, 1.5844E-1, 1.7451E-1, 1.9244E-1, 2.1244E-1, 2.3496E-1, 2.6044E-1}, 
1196   {0.04, 2.5743E-1, 2.6774E-1, 2.7855E-1, 3.0    1407   {0.04, 2.5743E-1, 2.6774E-1, 2.7855E-1, 3.0180E-1, 3.2751E-1, 3.5608E-1, 3.8803E-1, 4.2401E-1}, 
1197   {0.05, 3.7846E-1, 3.9195E-1, 4.0607E-1, 4.3    1408   {0.05, 3.7846E-1, 3.9195E-1, 4.0607E-1, 4.3635E-1, 4.6973E-1, 5.0672E-1, 5.4798E-1, 5.9436E-1}, 
1198   {0.06, 5.0839E-1, 5.2497E-1, 5.4230E-1, 5.7    1409   {0.06, 5.0839E-1, 5.2497E-1, 5.4230E-1, 5.7943E-1, 6.2028E-1, 6.6549E-1, 7.1589E-1, 7.7252E-1}, 
1199   {0.08, 7.8230E-1, 8.0474E-1, 8.2818E-1, 8.7    1410   {0.08, 7.8230E-1, 8.0474E-1, 8.2818E-1, 8.7836E-1, 9.3355E-1, 9.9462E-1, 1.0627, 1.1394}, 
1200   {0.1, 1.0621, 1.0900, 1.1192, 1.1816, 1.250    1411   {0.1, 1.0621, 1.0900, 1.1192, 1.1816, 1.2503, 1.3265, 1.4116, 1.5076}, 
1201   {0.15, 1.7389, 1.7790, 1.8210, 1.9112, 2.01    1412   {0.15, 1.7389, 1.7790, 1.8210, 1.9112, 2.0108, 2.1217, 2.2462, 2.3876}, 
1202   {0.2, 2.3516, 2.4024, 2.4556, 2.5701, 2.697    1413   {0.2, 2.3516, 2.4024, 2.4556, 2.5701, 2.6971, 2.8391, 2.9994, 3.1822}, 
1203   {0.3, 3.3741, 3.4427, 3.5148, 3.6706, 3.844    1414   {0.3, 3.3741, 3.4427, 3.5148, 3.6706, 3.8445, 4.0404, 4.2631, 4.5193}, 
1204   {0.4, 4.1788, 4.2620, 4.3496, 4.5398, 4.753    1415   {0.4, 4.1788, 4.2620, 4.3496, 4.5398, 4.7530, 4.9944, 5.2703, 5.5895}, 
1205   {0.5, 4.8180, 4.9137, 5.0146, 5.2341, 5.481    1416   {0.5, 4.8180, 4.9137, 5.0146, 5.2341, 5.4811, 5.7618, 6.0840, 6.4583}, 
1206   {0.6, 5.3765, 5.4830, 5.5954, 5.8406, 6.117    1417   {0.6, 5.3765, 5.4830, 5.5954, 5.8406, 6.1173, 6.4326, 6.7958, 7.2191}, 
1207   {0.7, 5.8208, 5.9369, 6.0596, 6.3275, 6.630    1418   {0.7, 5.8208, 5.9369, 6.0596, 6.3275, 6.6306, 6.9769, 7.3767, 7.8440}, 
1208   {0.8, 6.2109, 6.3355, 6.4674, 6.7558, 7.082    1419   {0.8, 6.2109, 6.3355, 6.4674, 6.7558, 7.0827, 7.4570, 7.8900, 8.3972}, 
1209   {1.0, 6.8747, 7.0142, 7.1621, 7.4861, 7.854    1420   {1.0, 6.8747, 7.0142, 7.1621, 7.4861, 7.8546, 8.2778, 8.7690, 9.3464}, 
1210   {1.2, 7.3933, 7.5454, 7.7068, 8.0612, 8.465    1421   {1.2, 7.3933, 7.5454, 7.7068, 8.0612, 8.4652, 8.9302, 9.4713, 10.1090}, 
1211   {1.4, 7.8331, 7.9967, 8.1694, 8.5502, 8.985    1422   {1.4, 7.8331, 7.9967, 8.1694, 8.5502, 8.9851, 9.4866, 10.0713, 10.7619}, 
1212   {1.5, 8.0286, 8.1967, 8.3753, 8.7681, 9.218    1423   {1.5, 8.0286, 8.1967, 8.3753, 8.7681, 9.2181, 9.7352, 10.3399, 11.0546}, 
1213   {1.7, 8.3813, 8.5585, 8.7469, 9.1618, 9.636    1424   {1.7, 8.3813, 8.5585, 8.7469, 9.1618, 9.6367, 10.1856, 10.8270, 11.5863}, 
1214   {2.0, 8.8352, 9.0245, 9.2260, 9.6701, 10.17    1425   {2.0, 8.8352, 9.0245, 9.2260, 9.6701, 10.1793, 10.7688, 11.4590, 12.2775}, 
1215   {3.0, 9.9511, 10.1714, 10.4062, 10.9254, 11    1426   {3.0, 9.9511, 10.1714, 10.4062, 10.9254, 11.5229, 12.2172, 13.0332, 14.0048}, 
1216   {5.0, 11.3211, 11.5818, 11.8601, 12.4771, 1    1427   {5.0, 11.3211, 11.5818, 11.8601, 12.4771, 13.1898, 14.0213, 15.0024, 16.1752}, 
1217   {7.0, 11.9480, 12.2357, 12.5432, 13.2260, 1    1428   {7.0, 11.9480, 12.2357, 12.5432, 13.2260, 14.0164, 14.9404, 16.0330, 17.3420}
1218   };                                             1429   };
1219                                                  1430                              
1220   G4double b, bs;                                1431   G4double b, bs; 
1221   for(i=0; i<nEtaK; ++i) {                       1432   for(i=0; i<nEtaK; ++i) {
1222                                                  1433 
1223     G4double et = Eta[i];                     << 1434     G4double et = eta[i];
1224     G4double loget = G4Log(et);                  1435     G4double loget = G4Log(et);
                                                   >> 1436     Eta[i] = et;
                                                   >> 1437     //G4cout << "### eta["<<i<<"]="<<et<<"  KShell: tet= "<<TheK[0]<<" - "<<TheK[nK-1]<<G4endl;
1225                                                  1438 
1226     for(j=0; j<nK; ++j) {                        1439     for(j=0; j<nK; ++j) {
1227                                                  1440 
1228       if(j < 10) { b = bk2[i][10-j]; }           1441       if(j < 10) { b = bk2[i][10-j]; }
1229       else       { b = bk1[i][20-j]; }           1442       else       { b = bk1[i][20-j]; }
1230                                                  1443 
1231       CK[j][i] = SK[j]*loget + TK[j] - b;        1444       CK[j][i] = SK[j]*loget + TK[j] - b;
1232                                                  1445 
1233       if(i == nEtaK-1) {                         1446       if(i == nEtaK-1) { 
1234         ZK[j] = et*(et*et*CK[j][i] - et*UK[j]    1447         ZK[j] = et*(et*et*CK[j][i] - et*UK[j] - VK[j]); 
1235         //G4cout << "i= " << i << " j= " << j    1448         //G4cout << "i= " << i << " j= " << j 
1236         //       << " CK[j][i]= " <<  CK[j][i    1449         //       << " CK[j][i]= " <<  CK[j][i]
1237         //       << " ZK[j]= " << ZK[j] << "     1450         //       << " ZK[j]= " << ZK[j] << "  b= " << b << G4endl;  
1238       }                                          1451       } 
1239     }                                            1452     }
1240     //G4cout << G4endl;                          1453     //G4cout << G4endl;
1241     if(i < nEtaL) {                              1454     if(i < nEtaL) {
1242       //G4cout << "  LShell:" <<G4endl;          1455       //G4cout << "  LShell:" <<G4endl;
1243       for(j=0; j<nL; ++j) {                      1456       for(j=0; j<nL; ++j) {
1244                                                  1457 
1245         if(j < 8) {                              1458         if(j < 8) {
1246           bs = bls3[i][8-j];                     1459           bs = bls3[i][8-j];
1247           b  = bll3[i][8-j];                     1460           b  = bll3[i][8-j];
1248         } else if(j < 17) {                      1461         } else if(j < 17) {
1249           bs = bls2[i][17-j];                    1462           bs = bls2[i][17-j];
1250           b  = bll2[i][17-j];                    1463           b  = bll2[i][17-j];
1251         } else {                                 1464         } else {
1252           bs = bls1[i][26-j];                    1465           bs = bls1[i][26-j];
1253           b  = bll1[i][26-j];                    1466           b  = bll1[i][26-j];
1254         }                                        1467         }
1255         G4double c = SL[j]*loget + TL[j];        1468         G4double c = SL[j]*loget + TL[j]; 
1256         CL[j][i] = c - bs - 3.0*b;               1469         CL[j][i] = c - bs - 3.0*b;
1257         if(i == nEtaL-1) {                       1470         if(i == nEtaL-1) { 
1258           VL[j] = et*(et*CL[j][i] - UL[j]);      1471           VL[j] = et*(et*CL[j][i] - UL[j]); 
1259           //G4cout << "i= " << i << " j= " <<    1472           //G4cout << "i= " << i << " j= " << j 
1260           //         << " CL[j][i]= " <<  CL[    1473           //         << " CL[j][i]= " <<  CL[j][i]
1261           //         << " VL[j]= " << VL[j] <    1474           //         << " VL[j]= " << VL[j] << " b= " << b << " bs= " << bs 
1262           //         << " et= " << et << G4en    1475           //         << " et= " << et << G4endl; 
1263           //" UL= " << UL[j] << " TL= " << TL    1476           //" UL= " << UL[j] << " TL= " << TL[j] << " SL= " << SL[j] <<G4endl;  
1264         }                                        1477         }
1265       }                                          1478       }
1266       //G4cout << G4endl;                        1479       //G4cout << G4endl;
1267     }                                            1480     }
1268   }                                              1481   }
                                                   >> 1482   const G4double hm[53] = {
                                                   >> 1483     12.0, 12.0, 12.0, 12.0, 11.9, 11.7, 11.5, 11.2, 10.8, 10.4,
                                                   >> 1484     10.0,  9.51, 8.97, 8.52, 8.03, 7.46, 6.95, 6.53, 6.18, 5.87, 
                                                   >> 1485     5.61,  5.39, 5.19, 5.01, 4.86, 4.72, 4.62, 4.53, 4.44, 4.38, 
                                                   >> 1486     4.32,  4.26, 4.20, 4.15, 4.1,  4.04, 4.00, 3.95, 3.93, 3.91, 
                                                   >> 1487     3.90,  3.89, 3.89, 3.88, 3.88, 3.88, 3.88, 3.88, 3.89, 3.89, 
                                                   >> 1488     3.90, 3.92, 3.93 };
                                                   >> 1489   const G4double hn[31] = {
                                                   >> 1490     75.5, 61.9, 52.2, 45.1, 39.6, 35.4, 31.9, 29.1, 27.2, 25.8, 
                                                   >> 1491     24.5, 23.6, 22.7, 22.0, 21.4, 20.9, 20.5, 20.2, 19.9, 19.7, 
                                                   >> 1492     19.5, 19.3, 19.2, 19.1, 18.4, 18.8, 18.7, 18.6, 18.5, 18.4, 
                                                   >> 1493     18.2
                                                   >> 1494   };
                                                   >> 1495   for(i=0; i<53; ++i) {HM[i] = hm[i];}
                                                   >> 1496   for(i=0; i<31; ++i) {HN[i] = hn[i];}
1269                                                  1497 
1270   const G4double xzk[34] = { 11.7711,            1498   const G4double xzk[34] = { 11.7711,
1271     13.3669, 15.5762, 17.1715, 18.7667, 20.85    1499     13.3669, 15.5762, 17.1715, 18.7667, 20.8523, 23.0606, 24.901, 26.9861, 29.4394, 31.77,
1272     34.3457, 37.4119, 40.3555, 42.3177, 44.77    1500     34.3457, 37.4119, 40.3555, 42.3177, 44.7705, 47.2234, 50.78, 53.8458, 56.4214, 58.3834,
1273     60.9586, 63.6567, 66.5998, 68.807, 71.872    1501     60.9586, 63.6567, 66.5998, 68.807, 71.8728, 74.5706, 77.3911, 81.8056, 85.7297, 89.8988,
1274                              93.4549, 96.2753    1502                              93.4549, 96.2753, 99.709};
1275   const G4double yzk[34] = { 0.70663,            1503   const G4double yzk[34] = { 0.70663,
1276     0.72033, 0.73651, 0.74647, 0.75518, 0.763    1504     0.72033, 0.73651, 0.74647, 0.75518, 0.76388, 0.77258, 0.78129, 0.78625, 0.7937, 0.79991,
1277     0.80611, 0.8123, 0.8185, 0.82097, 0.82467    1505     0.80611, 0.8123, 0.8185, 0.82097, 0.82467, 0.82838, 0.83457, 0.83702, 0.84198, 0.8432,
1278     0.84565, 0.84936, 0.85181, 0.85303, 0.855    1506     0.84565, 0.84936, 0.85181, 0.85303, 0.85548, 0.85794, 0.8604, 0.86283, 0.86527, 0.86646,
1279                              0.86891, 0.87011    1507                              0.86891, 0.87011, 0.87381};
1280                                                  1508 
1281   const G4double xzl[36] = { 15.5102,            1509   const G4double xzl[36] = { 15.5102,
1282     16.7347, 17.9592, 19.551, 21.0204, 22.612    1510     16.7347, 17.9592, 19.551, 21.0204, 22.6122, 24.9388, 27.3878, 29.5918, 31.3061, 32.898,
1283     34.4898, 36.2041, 38.4082, 40.3674, 42.57    1511     34.4898, 36.2041, 38.4082, 40.3674, 42.5714, 44.898, 47.4694, 49.9184, 52.7347, 55.9184,
1284     59.3469, 61.9184, 64.6122, 67.4286, 71.46    1512     59.3469, 61.9184, 64.6122, 67.4286, 71.4694, 75.2653, 78.3265, 81.2653, 85.551, 88.7347,
1285                              91.551, 94.2449,    1513                              91.551, 94.2449, 96.449, 98.4082, 99.7551};
1286   const G4double yzl[36] = { 0.29875,            1514   const G4double yzl[36] = { 0.29875,
1287     0.31746, 0.33368, 0.35239, 0.36985, 0.387    1515     0.31746, 0.33368, 0.35239, 0.36985, 0.38732, 0.41102, 0.43472, 0.45343, 0.4659, 0.47713,
1288     0.4896, 0.50083, 0.51331, 0.52328, 0.5307    1516     0.4896, 0.50083, 0.51331, 0.52328, 0.53077, 0.54075, 0.54823, 0.55572, 0.56445, 0.57193,
1289     0.58191, 0.5869, 0.59189, 0.60062, 0.6068    1517     0.58191, 0.5869, 0.59189, 0.60062, 0.60686, 0.61435, 0.61809, 0.62183, 0.62931, 0.6343,
1290                               0.6368, 0.64054    1518                               0.6368, 0.64054, 0.64304, 0.64428, 0.64678};
1291                                                  1519 
1292   sThetaK = new G4PhysicsFreeVector(34, false << 1520   ThetaK = new G4LPhysicsFreeVector(34, xzk[0], xzk[33]);
1293   for(i=0; i<34; ++i) { sThetaK->PutValues(i, << 1521   ThetaL = new G4LPhysicsFreeVector(36, xzl[0], xzl[35]);
1294   sThetaL = new G4PhysicsFreeVector(36, false << 1522   for(i=0; i<34; ++i) { ThetaK->PutValues(i, xzk[i], yzk[i]); }
1295   for(i=0; i<36; ++i) { sThetaL->PutValues(i, << 1523   for(i=0; i<36; ++i) { ThetaL->PutValues(i, xzl[i], yzl[i]); }
                                                   >> 1524   ThetaK->SetSpline(true);
                                                   >> 1525   ThetaL->SetSpline(true);
                                                   >> 1526 
                                                   >> 1527   const G4double coseb[14] = {0.0,0.05,0.1,0.15,0.2,0.3,0.4,0.5,0.6,0.8,
                                                   >> 1528                               1.0,1.2,1.5,2.0};
                                                   >> 1529   const G4double cosxi[14] = {1.0000, 0.9905, 0.9631, 0.9208, 0.8680,
                                                   >> 1530                               0.7478, 0.6303, 0.5290, 0.4471, 0.3323,
                                                   >> 1531                               0.2610, 0.2145, 0.1696, 0.1261};
                                                   >> 1532   for(i=0; i<14; ++i) {
                                                   >> 1533     COSEB[i] = coseb[i];
                                                   >> 1534     COSXI[i] = cosxi[i];
                                                   >> 1535   }
                                                   >> 1536 
                                                   >> 1537   G4Pow* g4pow = G4Pow::GetInstance();
                                                   >> 1538   for(i=1; i<100; ++i) {
                                                   >> 1539     Z23[i] = G4Exp(g4pow->logZ(i)*0.23);
                                                   >> 1540   }
1296 }                                                1541 }
1297                                                  1542 
1298 //....oooOO0OOooo........oooOO0OOooo........o    1543 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
1299                                                  1544 
1300                                                  1545