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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 9.6.p3)


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 25 //                                                 25 //
                                                   >>  26 // $Id$
 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"
 70 #include "G4Log.hh"                            <<  73 #include "G4LPhysicsFreeVector.hh"
 71 #include "G4Exp.hh"                            << 
 72 #include "G4Pow.hh"                            << 
 73                                                    74 
 74 //....oooOO0OOooo........oooOO0OOooo........oo     75 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 75                                                    76 
 76 namespace                                      <<  77 G4EmCorrections::G4EmCorrections()
 77 {                                                  78 {
 78   constexpr G4double inveplus = 1.0/CLHEP::epl <<  79   particle   = 0;
 79   constexpr G4double alpha2 = CLHEP::fine_stru <<  80   curParticle= 0;
 80 }                                              <<  81   material   = 0;
 81 const G4double G4EmCorrections::ZD[11] =       <<  82   curMaterial= 0;
 82     {0., 0., 0., 1.72, 2.09, 2.48, 2.82, 3.16, <<  83   curVector  = 0;
 83 const G4double G4EmCorrections::UK[20] = {1.99 <<  84   kinEnergy  = 0.0;
 84                            2.0817, 2.0945, 2.0 <<  85   ionLEModel = 0;
 85                            2.1197, 2.1246, 2.1 <<  86   ionHEModel = 0;
 86                            2.1310, 2.1310, 2.1 <<  87   nIons      = 0;
 87 const G4double G4EmCorrections::VK[20] = {8.34 <<  88   verbose    = 1;
 88                            8.3219, 8.3201, 8.3 <<  89   ncouples   = 0;
 89                            8.3191, 8.3199, 8.3 <<  90   massFactor = 1.0;
 90                            8.3244, 8.3264, 8.3 <<  91   eth        = 2.0*MeV;
 91 G4double G4EmCorrections::ZK[] = {0.0};        <<  92   nbinCorr   = 20;
 92 const G4double G4EmCorrections::Eta[29] = {0.0 <<  93   eCorrMin   = 25.*keV;
 93                             0.03,  0.04,  0.05 <<  94   eCorrMax   = 250.*MeV;
 94                             0.1,   0.15,  0.2, <<  95   nist = G4NistManager::Instance();
 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                                                << 
111 G4EmCorrections::G4EmCorrections(G4int verb)   << 
112   : verbose(verb)                              << 
113 {                                              << 
114   eth = 2.0*CLHEP::MeV;                        << 
115   eCorrMin = 25.*CLHEP::keV;                   << 
116   eCorrMax = 1.*CLHEP::GeV;                    << 
117                                                << 
118   ionTable = G4ParticleTable::GetParticleTable     96   ionTable = G4ParticleTable::GetParticleTable()->GetIonTable();
119   g4calc = G4Pow::GetInstance();               <<  97   BarkasCorr = ThetaK = ThetaL = 0;
120                                                <<  98   Initialise();
121   // fill vectors                              << 
122   if (nullptr == sBarkasCorr) {                << 
123     Initialise();                              << 
124     isInitializer = true;                      << 
125   }                                            << 
126 }                                                  99 }
127                                                   100 
128 //....oooOO0OOooo........oooOO0OOooo........oo    101 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
129                                                   102 
130 G4EmCorrections::~G4EmCorrections()               103 G4EmCorrections::~G4EmCorrections()
131 {                                                 104 {
132   for (G4int i=0; i<nIons; ++i) { delete stopD << 105   for(G4int i=0; i<nIons; ++i) {delete stopData[i];}
133   if (isInitializer) {                         << 106   delete BarkasCorr;
134     delete sBarkasCorr;                        << 107   delete ThetaK;
135     delete sThetaK;                            << 108   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 }                                                 109 }
169                                                   110 
170 //....oooOO0OOooo........oooOO0OOooo........oo    111 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
171                                                   112 
172 G4double G4EmCorrections::HighOrderCorrections    113 G4double G4EmCorrections::HighOrderCorrections(const G4ParticleDefinition* p,
173                                                   114                                                const G4Material* mat,
174                                                << 115                  G4double e, G4double)
175 {                                                 116 {
176   // . Z^3 Barkas effect in the stopping power    117   // . Z^3 Barkas effect in the stopping power of matter for charged particles
177   //   J.C Ashley and R.H.Ritchie                 118   //   J.C Ashley and R.H.Ritchie
178   //   Physical review B Vol.5 No.7 1 April 19    119   //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
179   //   and ICRU49 report                          120   //   and ICRU49 report
180   //   valid for kineticEnergy < 0.5 MeV          121   //   valid for kineticEnergy < 0.5 MeV
181   //   Other corrections from S.P.Ahlen Rev. M    122   //   Other corrections from S.P.Ahlen Rev. Mod. Phys., Vol 52, No1, 1980
182                                                   123 
183   SetupKinematics(p, mat, e);                     124   SetupKinematics(p, mat, e);
184   if(tau <= 0.0) { return 0.0; }                  125   if(tau <= 0.0) { return 0.0; }
185                                                   126 
186   const G4double Barkas = BarkasCorrection(p,  << 127   G4double Barkas = BarkasCorrection (p, mat, e);
187   const G4double Bloch  = BlochCorrection(p, m << 128   G4double Bloch  = BlochCorrection (p, mat, e);
188   const G4double Mott = MottCorrection(p, mat, << 129   G4double Mott   = MottCorrection (p, mat, e);
189                                                   130 
190   G4double sum = 2.0*(Barkas + Bloch) + Mott;  << 131   G4double sum = (2.0*(Barkas + Bloch) + Mott);
191                                                   132 
192   if(verbose > 1) {                               133   if(verbose > 1) {
193     G4cout << "EmCorrections: E(MeV)= " << e/M    134     G4cout << "EmCorrections: E(MeV)= " << e/MeV << " Barkas= " << Barkas
194            << " Bloch= " << Bloch << " Mott= " << 135      << " Bloch= " << Bloch << " Mott= " << Mott 
195            << " Sum= " << sum << " q2= " << q2 << 136      << " Sum= " << sum << " q2= " << q2 << G4endl; 
196     G4cout << " ShellCorrection: " << ShellCor    137     G4cout << " ShellCorrection: " << ShellCorrection(p, mat, e) 
197            << " Kshell= " << KShellCorrection( << 138      << " Kshell= " << KShellCorrection(p, mat, e)
198            << " Lshell= " << LShellCorrection( << 139      << " Lshell= " << LShellCorrection(p, mat, e)
199            << "   " << mat->GetName() << G4end << 140      << "   " << mat->GetName() << G4endl;
200   }                                               141   }
201   sum *= material->GetElectronDensity()*q2*CLH << 142   sum *= material->GetElectronDensity() * q2 *  twopi_mc2_rcl2 /beta2;
202   return sum;                                     143   return sum;
203 }                                                 144 }
204                                                   145 
205 //....oooOO0OOooo........oooOO0OOooo........oo    146 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
206                                                   147 
207 G4double G4EmCorrections::IonBarkasCorrection(    148 G4double G4EmCorrections::IonBarkasCorrection(const G4ParticleDefinition* p,
208                                                << 149                 const G4Material* mat,
209                                                << 150                 G4double e)
210 {                                                 151 {
                                                   >> 152   // . Z^3 Barkas effect in the stopping power of matter for charged particles
                                                   >> 153   //   J.C Ashley and R.H.Ritchie
                                                   >> 154   //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
                                                   >> 155   //   and ICRU49 report
                                                   >> 156   //   valid for kineticEnergy < 0.5 MeV
                                                   >> 157 
211   SetupKinematics(p, mat, e);                     158   SetupKinematics(p, mat, e);
212   return 2.0*BarkasCorrection(p, mat, e, true) << 159   G4double res = 0.0;
213     material->GetElectronDensity() * q2 * CLHE << 160   if(tau > 0.0) 
                                                   >> 161     res = 2.0*BarkasCorrection(p, mat, e)*
                                                   >> 162       material->GetElectronDensity() * q2 *  twopi_mc2_rcl2 /beta2;
                                                   >> 163   return res;
214 }                                                 164 }
215                                                   165 
216 //....oooOO0OOooo........oooOO0OOooo........oo    166 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
217                                                   167 
218 G4double G4EmCorrections::ComputeIonCorrection    168 G4double G4EmCorrections::ComputeIonCorrections(const G4ParticleDefinition* p,
219                                                << 169             const G4Material* mat,
220                                                << 170             G4double e)
221 {                                                 171 {
222   // . Z^3 Barkas effect in the stopping power    172   // . Z^3 Barkas effect in the stopping power of matter for charged particles
223   //   J.C Ashley and R.H.Ritchie                 173   //   J.C Ashley and R.H.Ritchie
224   //   Physical review B Vol.5 No.7 1 April 19    174   //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
225   //   and ICRU49 report                          175   //   and ICRU49 report
226   //   valid for kineticEnergy < 0.5 MeV          176   //   valid for kineticEnergy < 0.5 MeV
227   //   Other corrections from S.P.Ahlen Rev. M    177   //   Other corrections from S.P.Ahlen Rev. Mod. Phys., Vol 52, No1, 1980
228   SetupKinematics(p, mat, e);                     178   SetupKinematics(p, mat, e);
229   if(tau <= 0.0) { return 0.0; }                  179   if(tau <= 0.0) { return 0.0; }
230                                                   180 
231   const G4double Barkas = BarkasCorrection (p, << 181   G4double Barkas = BarkasCorrection (p, mat, e);
232   const G4double Bloch  = BlochCorrection (p,  << 182   G4double Bloch  = BlochCorrection (p, mat, e);
233   const G4double Mott = MottCorrection (p, mat << 183   G4double Mott   = MottCorrection (p, mat, e);
234                                                   184 
235   G4double sum = 2.0*(Barkas*(charge - 1.0)/ch    185   G4double sum = 2.0*(Barkas*(charge - 1.0)/charge + Bloch) + Mott;
236                                                   186 
237   if(verbose > 1) {                               187   if(verbose > 1) {
238     G4cout << "EmCorrections: E(MeV)= " << e/M    188     G4cout << "EmCorrections: E(MeV)= " << e/MeV << " Barkas= " << Barkas
239            << " Bloch= " << Bloch << " Mott= " << 189      << " Bloch= " << Bloch << " Mott= " << Mott 
240            << " Sum= " << sum << G4endl;       << 190      << " Sum= " << sum << G4endl; 
241   }                                               191   }
242   sum *= material->GetElectronDensity() * q2 * << 192   sum *= material->GetElectronDensity() * q2 *  twopi_mc2_rcl2 /beta2;
243                                                   193 
244   if(verbose > 1) { G4cout << " Sum= " << sum     194   if(verbose > 1) { G4cout << " Sum= " << sum << G4endl; } 
245   return sum;                                     195   return sum;
246 }                                                 196 }
247                                                   197 
248 //....oooOO0OOooo........oooOO0OOooo........oo    198 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
249                                                   199 
250 G4double G4EmCorrections::IonHighOrderCorrecti    200 G4double G4EmCorrections::IonHighOrderCorrections(const G4ParticleDefinition* p,
251                                                << 201               const G4MaterialCutsCouple* couple,
252                                                << 202               G4double e)
253 {                                                 203 {
254   // . Z^3 Barkas effect in the stopping power << 204 // . Z^3 Barkas effect in the stopping power of matter for charged particles
255   //   J.C Ashley and R.H.Ritchie              << 205 //   J.C Ashley and R.H.Ritchie
256   //   Physical review B Vol.5 No.7 1 April 19 << 206 //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
257   //   and ICRU49 report                       << 207 //   and ICRU49 report
258   //   valid for kineticEnergy < 0.5 MeV       << 208 //   valid for kineticEnergy < 0.5 MeV
259   //   Other corrections from S.P.Ahlen Rev. M << 209 //   Other corrections from S.P.Ahlen Rev. Mod. Phys., Vol 52, No1, 1980
260                                                   210 
261   G4double sum = 0.0;                             211   G4double sum = 0.0;
262                                                   212 
263   if (nullptr != ionHEModel) {                 << 213   if(ionHEModel) {
264     G4int Z = G4lrint(p->GetPDGCharge()*invepl << 214     G4int Z = G4int(p->GetPDGCharge()/eplus + 0.5);
265     Z = std::max(std::min(Z, 99), 1);          << 215     if(Z >= 100)   Z = 99;
266                                                << 216     else if(Z < 1) Z = 1;
267     const G4double ethscaled = eth*p->GetPDGMa << 217 
268     const G4int ionPDG = p->GetPDGEncoding();  << 218     G4double ethscaled = eth*p->GetPDGMass()/proton_mass_c2;
269     auto iter = thcorr.find(ionPDG);           << 219     G4int ionPDG = p->GetPDGEncoding();
270     if (iter == thcorr.end()) {  // Not found: << 220     if(thcorr.find(ionPDG)==thcorr.end()) {  // Not found: fill the map
271       std::vector<G4double> v;                    221       std::vector<G4double> v;
272       for(std::size_t i=0; i<ncouples; ++i){   << 222       for(size_t i=0; i<ncouples; ++i){
273         v.push_back(ethscaled*ComputeIonCorrec << 223   v.push_back(ethscaled*ComputeIonCorrections(p,currmat[i],ethscaled));
274       }                                           224       }
275       thcorr.insert(std::pair< G4int, std::vec    225       thcorr.insert(std::pair< G4int, std::vector<G4double> >(ionPDG,v)); 
276     }                                             226     }
277     G4double rest = 0.0;                       << 227 
278     iter = thcorr.find(ionPDG);                << 228     //G4cout << " map size=" << thcorr.size() << G4endl;
279     if (iter != thcorr.end()) { rest = (iter-> << 229     //for(std::map< G4int, std::vector<G4double> >::iterator 
                                                   >> 230     //    it = thcorr.begin(); it != thcorr.end(); ++it){
                                                   >> 231     //  G4cout << "\t map element: first (key)=" << it->first  
                                                   >> 232     //         << "\t second (vector): vec size=" << (it->second).size() << G4endl;
                                                   >> 233     //  for(size_t i=0; i<(it->second).size(); ++i){
                                                   >> 234     //    G4cout << "\t \t vec element: [" << i << "]=" << (it->second)[i] << G4endl; 
                                                   >> 235     //  } 
                                                   >> 236     //}
                                                   >> 237 
                                                   >> 238     G4double rest = (thcorr.find(ionPDG)->second)[couple->GetIndex()];
280                                                   239 
281     sum = ComputeIonCorrections(p,couple->GetM    240     sum = ComputeIonCorrections(p,couple->GetMaterial(),e) - rest/e;
282                                                   241 
283     if(verbose > 1) {                          << 242     if(verbose > 1) { G4cout << " Sum= " << sum << " dSum= " << rest/e << G4endl; } 
284       G4cout << " Sum= " << sum << " dSum= " < << 
285     }                                          << 
286   }                                               243   }
287   return sum;                                     244   return sum;
288 }                                                 245 }
289                                                   246 
290 //....oooOO0OOooo........oooOO0OOooo........oo    247 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
291                                                   248 
292 G4double G4EmCorrections::Bethe(const G4Partic    249 G4double G4EmCorrections::Bethe(const G4ParticleDefinition* p,
293                                 const G4Materi << 250         const G4Material* mat, 
294                                 const G4double << 251         G4double e)
295 {                                                 252 {
296   SetupKinematics(p, mat, e);                     253   SetupKinematics(p, mat, e);
297   const G4double eexc  = material->GetIonisati << 254   G4double eexc  = material->GetIonisation()->GetMeanExcitationEnergy();
298   const G4double eexc2 = eexc*eexc;            << 255   G4double eexc2 = eexc*eexc;
299   return 0.5*G4Log(2.0*electron_mass_c2*bg2*tm << 256   G4double dedx = 0.5*std::log(2.0*electron_mass_c2*bg2*tmax/eexc2)-beta2;
                                                   >> 257   return dedx;
300 }                                                 258 }
301                                                   259 
302 //....oooOO0OOooo........oooOO0OOooo........oo    260 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
303                                                   261 
304 G4double G4EmCorrections::SpinCorrection(const    262 G4double G4EmCorrections::SpinCorrection(const G4ParticleDefinition* p,
305                                          const << 263            const G4Material* mat,
306                                          const << 264            G4double e)
307 {                                                 265 {
308   SetupKinematics(p, mat, e);                     266   SetupKinematics(p, mat, e);
309   const G4double dedx  = 0.5*tmax/(kinEnergy + << 267   G4double dedx  = 0.5*tmax/(kinEnergy + mass);
310   return 0.5*dedx*dedx;                           268   return 0.5*dedx*dedx;
311 }                                                 269 }
312                                                   270 
313 //....oooOO0OOooo........oooOO0OOooo........oo    271 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
314                                                   272 
315 G4double G4EmCorrections:: KShellCorrection(co    273 G4double G4EmCorrections:: KShellCorrection(const G4ParticleDefinition* p,
316                                             co << 274               const G4Material* mat, 
317                                             co << 275               G4double e)
318 {                                                 276 {
319   SetupKinematics(p, mat, e);                     277   SetupKinematics(p, mat, e);
320   G4double term = 0.0;                            278   G4double term = 0.0;
321   for (G4int i = 0; i<numberOfElements; ++i) {    279   for (G4int i = 0; i<numberOfElements; ++i) {
322                                                   280 
323     G4double Z = (*theElementVector)[i]->GetZ(    281     G4double Z = (*theElementVector)[i]->GetZ();
324     G4int   iz = (*theElementVector)[i]->GetZa << 282     G4int   iz = G4int(Z);
325     G4double f = 1.0;                             283     G4double f = 1.0;
326     G4double Z2= (Z-0.3)*(Z-0.3);                 284     G4double Z2= (Z-0.3)*(Z-0.3);
327     if(1 == iz) {                                 285     if(1 == iz) {
328       f  = 0.5;                                   286       f  = 0.5;
329       Z2 = 1.0;                                   287       Z2 = 1.0;
330     }                                             288     }
331     const G4double eta = ba2/Z2;               << 289     G4double eta = ba2/Z2;
332     const G4double tet = (11 < iz) ? sThetaK-> << 290     G4double tet = Z2*(1. + Z2*0.25*alpha2);
                                                   >> 291     if(11 < iz) { tet = ThetaK->Value(Z); }
333     term += f*atomDensity[i]*KShell(tet,eta)/Z    292     term += f*atomDensity[i]*KShell(tet,eta)/Z;
334   }                                               293   }
335                                                   294 
336   term /= material->GetTotNbOfAtomsPerVolume()    295   term /= material->GetTotNbOfAtomsPerVolume();
337                                                   296 
338   return term;                                    297   return term;
339 }                                                 298 }
340                                                   299 
341 //....oooOO0OOooo........oooOO0OOooo........oo    300 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
342                                                   301 
343 G4double G4EmCorrections:: LShellCorrection(co    302 G4double G4EmCorrections:: LShellCorrection(const G4ParticleDefinition* p,
344                                             co << 303               const G4Material* mat, 
345                                             co << 304               G4double e)
346 {                                                 305 {
347   SetupKinematics(p, mat, e);                     306   SetupKinematics(p, mat, e);
348   G4double term = 0.0;                            307   G4double term = 0.0;
349   for (G4int i = 0; i<numberOfElements; ++i) {    308   for (G4int i = 0; i<numberOfElements; ++i) {
350                                                   309 
351     const G4double Z = (*theElementVector)[i]- << 310     G4double Z = (*theElementVector)[i]->GetZ();
352     const G4int iz = (*theElementVector)[i]->G << 311     G4int   iz = G4int(Z);
353     if(2 < iz) {                                  312     if(2 < iz) {
354       const G4double Zeff = (iz < 10) ? Z - ZD << 313       G4double Zeff = Z - ZD[10];
355       const G4double Z2= Zeff*Zeff;            << 314       if(iz < 10) { Zeff = Z - ZD[iz]; }
356       const G4double eta = ba2/Z2;             << 315       G4double Z2= Zeff*Zeff;
357       G4double tet = sThetaL->Value(Z);        << 316       G4double f = 0.125;
358       G4int nmax = std::min(4, G4AtomicShells: << 317       G4double eta = ba2/Z2;
359       for (G4int j=1; j<nmax; ++j) {           << 318       G4double tet = ThetaL->Value(Z);
                                                   >> 319       G4int nmax = std::min(4,G4AtomicShells::GetNumberOfShells(iz));
                                                   >> 320       for(G4int j=1; j<nmax; ++j) {
360         G4int ne = G4AtomicShells::GetNumberOf    321         G4int ne = G4AtomicShells::GetNumberOfElectrons(iz,j);
361         if (15 >= iz) {                        << 322   if(15 >= iz) {
362           tet = (3 > j) ? 0.25*Z2*(1.0 + 5*Z2* << 323     if(3 > j) { tet = 0.25*Z2*(1.0 + 5*Z2*alpha2/16.); }
363             0.25*Z2*(1.0 + Z2*alpha2/16.);     << 324     else      { tet = 0.25*Z2*(1.0 + Z2*alpha2/16.); }
364         }                                      << 325   }
365         //G4cout << " LShell: j= " << j << " n << 326   //G4cout << " LShell: j= " << j << " ne= " << ne << " e(eV)= " << e/eV
366         //       << " ThetaL= " << tet << G4en << 327   //       << " ThetaL= " << tet << G4endl;
367         term += 0.125*ne*atomDensity[i]*LShell << 328         term += f*ne*atomDensity[i]*LShell(tet,eta)/Z;
368       }                                           329       }
369     }                                             330     }
370   }                                               331   }
371                                                   332 
372   term /= material->GetTotNbOfAtomsPerVolume()    333   term /= material->GetTotNbOfAtomsPerVolume();
373                                                   334 
374   return term;                                    335   return term;
375 }                                                 336 }
376                                                   337 
377 //....oooOO0OOooo........oooOO0OOooo........oo    338 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
378                                                   339 
379 G4double G4EmCorrections::KShell(const G4doubl << 340 G4double G4EmCorrections::KShell(G4double tet, G4double eta)
380 {                                                 341 {
381   G4double corr = 0.0;                            342   G4double corr = 0.0;
382                                                   343 
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;                               344   G4double x = tet;
389   G4int itet = 0;                                 345   G4int itet = 0;
390   G4int ieta = 0;                                 346   G4int ieta = 0;
391   if(tet < TheK[0]) {                             347   if(tet < TheK[0]) { 
392     x =  TheK[0];                                 348     x =  TheK[0]; 
393   } else if(tet > TheK[nK-1]) {                   349   } else if(tet > TheK[nK-1]) { 
394     x =  TheK[nK-1];                              350     x =  TheK[nK-1];
395     itet = nK-2;                                  351     itet = nK-2; 
396   } else {                                        352   } else { 
397     itet = Index(x, TheK, nK);                    353     itet = Index(x, TheK, nK);
398   }                                               354   }
399   // asymptotic case                           << 355   // assimptotic case
400   if(eta >= Eta[nEtaK-1]) {                       356   if(eta >= Eta[nEtaK-1]) {
401     corr =                                     << 357     corr = (Value(x, TheK[itet], TheK[itet+1], UK[itet], UK[itet+1]) + 
402       (Value(x, TheK[itet], TheK[itet+1], UK[i << 358             Value(x, TheK[itet], TheK[itet+1], VK[itet], VK[itet+1])/eta +
403        Value(x, TheK[itet], TheK[itet+1], VK[i << 359             Value(x, TheK[itet], TheK[itet+1], ZK[itet], ZK[itet+1])/(eta*eta))/eta;
404        Value(x, TheK[itet], TheK[itet+1], ZK[i << 
405   } else {                                        360   } else {
406     G4double y = eta;                             361     G4double y = eta;
407     if(eta < Eta[0]) {                            362     if(eta < Eta[0]) { 
408       y = Eta[0];                              << 363       y =  Eta[0]; 
409     } else {                                      364     } else { 
410       ieta = Index(y, Eta, nEtaK);                365       ieta = Index(y, Eta, nEtaK);
411     }                                             366     }
412     corr = Value2(x, y, TheK[itet], TheK[itet+    367     corr = Value2(x, y, TheK[itet], TheK[itet+1], Eta[ieta], Eta[ieta+1],
413                   CK[itet][ieta], CK[itet+1][i    368                   CK[itet][ieta], CK[itet+1][ieta], 
414                   CK[itet][ieta+1], CK[itet+1] << 369       CK[itet][ieta+1], CK[itet+1][ieta+1]);
415     //G4cout << "   x= " <<x<<" y= "<<y<<" tet    370     //G4cout << "   x= " <<x<<" y= "<<y<<" tet= " <<TheK[itet]
416     //           <<" "<< TheK[itet+1]<<" eta=  << 371     //     <<" "<< TheK[itet+1]<<" eta= "<< Eta[ieta]<<" "<< Eta[ieta+1]
417     //           <<" CK= " << CK[itet][ieta]<< << 372     //     <<" CK= " << CK[itet][ieta]<<" "<< CK[itet+1][ieta]
418     //           <<" "<< CK[itet][ieta+1]<<" " << 373     //     <<" "<< CK[itet][ieta+1]<<" "<< CK[itet+1][ieta+1]<<G4endl;
419   }                                               374   }
420   //G4cout << "Kshell:  tet= " << tet << " eta    375   //G4cout << "Kshell:  tet= " << tet << " eta= " << eta << "  C= " << corr
421   //         << " itet= " << itet << "  ieta=  << 376   //   << " itet= " << itet << "  ieta= " << ieta <<G4endl;
422   return corr;                                    377   return corr;
423 }                                                 378 }
424                                                   379 
425 //....oooOO0OOooo........oooOO0OOooo........oo    380 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
426                                                   381 
427 G4double G4EmCorrections::LShell(const G4doubl << 382 G4double G4EmCorrections::LShell(G4double tet, G4double eta)
428 {                                                 383 {
429   G4double corr = 0.0;                            384   G4double corr = 0.0;
430                                                   385 
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;                               386   G4double x = tet;
437   G4int itet = 0;                                 387   G4int itet = 0;
438   G4int ieta = 0;                                 388   G4int ieta = 0;
439   if(tet < TheL[0]) {                             389   if(tet < TheL[0]) { 
440     x =  TheL[0];                                 390     x =  TheL[0]; 
441   } else if(tet > TheL[nL-1]) {                   391   } else if(tet > TheL[nL-1]) { 
442     x =  TheL[nL-1];                              392     x =  TheL[nL-1];
443     itet = nL-2;                                  393     itet = nL-2; 
444   } else {                                        394   } else { 
445     itet = Index(x, TheL, nL);                    395     itet = Index(x, TheL, nL);
446   }                                               396   }
447                                                   397 
448   // asymptotic case                           << 398   // assimptotic case
449   if(eta >= Eta[nEtaL-1]) {                       399   if(eta >= Eta[nEtaL-1]) {
450     corr = (Value(x, TheL[itet], TheL[itet+1],    400     corr = (Value(x, TheL[itet], TheL[itet+1], UL[itet], UL[itet+1])
451               + Value(x, TheL[itet], TheL[itet << 401         + Value(x, TheL[itet], TheL[itet+1], VL[itet], VL[itet+1])/eta
452             )/eta;                             << 402       )/eta;
453   } else {                                        403   } else {
454     G4double y = eta;                             404     G4double y = eta;
455     if(eta < Eta[0]) {                            405     if(eta < Eta[0]) { 
456       y =  Eta[0];                                406       y =  Eta[0]; 
457     } else {                                      407     } else { 
458       ieta = Index(y, Eta, nEtaL);                408       ieta = Index(y, Eta, nEtaL);
459     }                                             409     }
460     corr = Value2(x, y, TheL[itet], TheL[itet+    410     corr = Value2(x, y, TheL[itet], TheL[itet+1], Eta[ieta], Eta[ieta+1],
461                   CL[itet][ieta], CL[itet+1][i << 411       CL[itet][ieta], CL[itet+1][ieta], 
462                   CL[itet][ieta+1], CL[itet+1] << 412       CL[itet][ieta+1], CL[itet+1][ieta+1]);
463     //G4cout << "   x= " <<x<<" y= "<<y<<" tet    413     //G4cout << "   x= " <<x<<" y= "<<y<<" tet= " <<TheL[itet]
464     //           <<" "<< TheL[itet+1]<<" eta=  << 414     //     <<" "<< TheL[itet+1]<<" eta= "<< Eta[ieta]<<" "<< Eta[ieta+1]
465     //           <<" CL= " << CL[itet][ieta]<< << 415     //     <<" CL= " << CL[itet][ieta]<<" "<< CL[itet+1][ieta]
466     //           <<" "<< CL[itet][ieta+1]<<" " << 416     //     <<" "<< CL[itet][ieta+1]<<" "<< CL[itet+1][ieta+1]<<G4endl;
467   }                                               417   }
468   //G4cout<<"Lshell:  tet= "<<tet<<" eta= "<<e    418   //G4cout<<"Lshell:  tet= "<<tet<<" eta= "<<eta<<" itet= "<<itet
469   //        <<" ieta= "<<ieta<<"  Corr= "<<cor << 419   //  <<" ieta= "<<ieta<<"  Corr= "<<corr<<G4endl;
470   return corr;                                    420   return corr;
471 }                                                 421 }
472                                                   422 
473 //....oooOO0OOooo........oooOO0OOooo........oo    423 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
474                                                   424 
475 G4double G4EmCorrections::ShellCorrectionSTD(c    425 G4double G4EmCorrections::ShellCorrectionSTD(const G4ParticleDefinition* p,
476                                              c << 426                const G4Material* mat, 
477                                              c << 427                G4double e)
478 {                                                 428 {
479   SetupKinematics(p, mat, e);                     429   SetupKinematics(p, mat, e);
480   G4double taulim= 8.0*MeV/mass;                  430   G4double taulim= 8.0*MeV/mass;
481   G4double bg2lim= taulim * (taulim+2.0);         431   G4double bg2lim= taulim * (taulim+2.0);
482                                                   432 
483   G4double* shellCorrectionVector =               433   G4double* shellCorrectionVector =
484             material->GetIonisation()->GetShel    434             material->GetIonisation()->GetShellCorrectionVector();
485   G4double sh = 0.0;                              435   G4double sh = 0.0;
486   G4double x  = 1.0;                              436   G4double x  = 1.0;
487   G4double taul  = material->GetIonisation()->    437   G4double taul  = material->GetIonisation()->GetTaul();
488                                                   438 
489   if ( bg2 >= bg2lim ) {                          439   if ( bg2 >= bg2lim ) {
490     for (G4int k=0; k<3; ++k) {                << 440     for (G4int k=0; k<3; k++) {
491         x *= bg2 ;                                441         x *= bg2 ;
492         sh += shellCorrectionVector[k]/x;         442         sh += shellCorrectionVector[k]/x;
493     }                                             443     }
494                                                   444 
495   } else {                                        445   } else {
496     for (G4int k=0; k<3; ++k) {                << 446     for (G4int k=0; k<3; k++) {
497         x *= bg2lim ;                             447         x *= bg2lim ;
498         sh += shellCorrectionVector[k]/x;         448         sh += shellCorrectionVector[k]/x;
499     }                                             449     }
500     sh *= G4Log(tau/taul)/G4Log(taulim/taul);  << 450     sh *= std::log(tau/taul)/std::log(taulim/taul);
501   }                                               451   }
502   sh *= 0.5;                                      452   sh *= 0.5;
503   return sh;                                      453   return sh;
504 }                                                 454 }
505                                                   455 
506                                                   456 
507 //....oooOO0OOooo........oooOO0OOooo........oo    457 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
508                                                   458 
509 G4double G4EmCorrections::ShellCorrection(cons    459 G4double G4EmCorrections::ShellCorrection(const G4ParticleDefinition* p,
510                                           cons << 460             const G4Material* mat,
511                                           cons << 461             G4double ekin)
512 {                                                 462 {
513   SetupKinematics(p, mat, ekin);                  463   SetupKinematics(p, mat, ekin);
                                                   >> 464 
514   G4double term = 0.0;                            465   G4double term = 0.0;
515   //G4cout << "### G4EmCorrections::ShellCorre    466   //G4cout << "### G4EmCorrections::ShellCorrection " << mat->GetName()
516   //       << "   " << ekin/MeV << " MeV " <<  << 467   //   << "   " << ekin/MeV << " MeV " << G4endl;
517   for (G4int i = 0; i<numberOfElements; ++i) {    468   for (G4int i = 0; i<numberOfElements; ++i) {
518                                                   469 
519     G4double res = 0.0;                           470     G4double res = 0.0;
520     G4double res0 = 0.0;                          471     G4double res0 = 0.0;
521     const G4double Z = (*theElementVector)[i]- << 472     G4double Z = (*theElementVector)[i]->GetZ();
522     const G4int iz = (*theElementVector)[i]->G << 473     G4int   iz = G4int(Z);
523     G4double Z2= (Z-0.3)*(Z-0.3);                 474     G4double Z2= (Z-0.3)*(Z-0.3);
524     G4double f = 1.0;                             475     G4double f = 1.0;
525     if(1 == iz) {                                 476     if(1 == iz) {
526       f  = 0.5;                                   477       f  = 0.5;
527       Z2 = 1.0;                                   478       Z2 = 1.0;
528     }                                             479     }
529     G4double eta = ba2/Z2;                        480     G4double eta = ba2/Z2;
530     G4double tet = (11 < iz) ? sThetaK->Value( << 481     G4double tet = Z2*(1. + Z2*0.25*alpha2);
                                                   >> 482     if(11 < iz) { tet = ThetaK->Value(Z); }
531     res0 = f*KShell(tet,eta);                     483     res0 = f*KShell(tet,eta);
532     res += res0;                                  484     res += res0;
533     //G4cout << " Z= " << iz << " Shell 0" <<     485     //G4cout << " Z= " << iz << " Shell 0" << " tet= " << tet 
534     //       << " eta= " << eta << "  resK= "     486     //       << " eta= " << eta << "  resK= " << res0 << G4endl;
535                                                << 
536     if(2 < iz) {                                  487     if(2 < iz) {
537       const G4double Zeff = (iz < 10) ? Z - ZD << 488       G4double Zeff = Z - ZD[10];
                                                   >> 489       if(iz < 10) { Zeff = Z - ZD[iz]; }
538       Z2= Zeff*Zeff;                              490       Z2= Zeff*Zeff;
539       eta = ba2/Z2;                               491       eta = ba2/Z2;
540       tet = sThetaL->Value(Z);                 << 
541       f = 0.125;                                  492       f = 0.125;
542       const G4int ntot = G4AtomicShells::GetNu << 493       tet = ThetaL->Value(Z);
543       const G4int nmax = std::min(4, ntot);    << 494       G4int ntot = G4AtomicShells::GetNumberOfShells(iz);
                                                   >> 495       G4int nmax = std::min(4, ntot);
544       G4double norm   = 0.0;                      496       G4double norm   = 0.0;
545       G4double eshell = 0.0;                      497       G4double eshell = 0.0;
546       for(G4int j=1; j<nmax; ++j) {               498       for(G4int j=1; j<nmax; ++j) {
547         G4int ne = G4AtomicShells::GetNumberOf    499         G4int ne = G4AtomicShells::GetNumberOfElectrons(iz,j);
548         if(15 >= iz) {                         << 500   if(15 >= iz) {
549           tet = (3 > j) ? 0.25*Z2*(1.0 + 5*Z2* << 501     if(3 > j) { tet = 0.25*Z2*(1.0 + 5*Z2*alpha2/16.); }
550       0.25*Z2*(1.0 + Z2*alpha2/16.);           << 502     else      { tet = 0.25*Z2*(1.0 + Z2*alpha2/16.); }
551         }                                      << 503   }
552         norm   += ne;                          << 504   norm   += ne;
553         eshell += tet*ne;                      << 505   eshell += tet*ne;
554         res0 = f*ne*LShell(tet,eta);              506         res0 = f*ne*LShell(tet,eta);
555         res += res0;                              507         res += res0;
556         //G4cout << " Zeff= " << Zeff << " She << 508   //G4cout << " Z= " << iz << " Shell " << j << " Ne= " << ne
557         //       << " tet= " << tet << " eta=  << 509   //       << " tet= " << tet << " eta= " << eta 
558         //       << "  resL= " << res0 << G4en << 510   //       << "  resL= " << res0 << G4endl;
559       }                                           511       }
560       if(ntot > nmax) {                           512       if(ntot > nmax) {
561   if (norm > 0.0) { norm = 1.0/norm; }         << 513   eshell /= norm;
562         eshell *= norm;                        << 514   // Add M-shell
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                         << 
578         if(28 > iz) {                             515         if(28 > iz) {
579           res += f*(iz - 10)*LShell(eshell,HM[    516           res += f*(iz - 10)*LShell(eshell,HM[iz-11]*eta);
580         } else if(63 > iz) {                   << 517   } else if(63 > iz) { 
581           res += f*18*LShell(eshell,HM[iz-11]*    518           res += f*18*LShell(eshell,HM[iz-11]*eta);
582         } else {                               << 519   } else {
583           res += f*18*LShell(eshell,HM[52]*eta    520           res += f*18*LShell(eshell,HM[52]*eta);
584         }                                      << 521   }
585         // Add N-shell                         << 522   // Add N-shell
586         if(32 < iz) {                             523         if(32 < iz) {
587           if(60 > iz) {                           524           if(60 > iz) {
588             res += f*(iz - 28)*LShell(eshell,H << 525       res += f*(iz - 28)*LShell(eshell,HN[iz-33]*eta);
589           } else if(63 > iz) {                 << 526     } else if(63 > iz) {
590             res += 4*LShell(eshell,HN[iz-33]*e << 527       res += 4*LShell(eshell,HN[iz-33]*eta);
591           } else {                             << 528     } else {
592             res += 4*LShell(eshell,HN[30]*eta) << 529       res += 4*LShell(eshell,HN[30]*eta);
593           }                                    << 530     }
594           // Add O-P-shells                    << 531     // Add O-P-shells
595           if(60 < iz) {                        << 532     if(60 < iz) {
596             res += f*(iz - 60)*LShell(eshell,1 << 533       res += f*(iz - 60)*LShell(eshell,150*eta);
597           }                                       534           }
598         }                                      << 535   }
599       }                                           536       }
600     }                                             537     }
601     term += res*atomDensity[i]/Z;                 538     term += res*atomDensity[i]/Z;
602   }                                               539   }
603                                                   540 
604   term /= material->GetTotNbOfAtomsPerVolume()    541   term /= material->GetTotNbOfAtomsPerVolume();
605   //G4cout << "##Shell Correction=" << term << << 542   //G4cout << "#     Shell Correction= " << term << G4endl;
606   return term;                                    543   return term;
607 }                                                 544 }
608                                                   545 
609 //....oooOO0OOooo........oooOO0OOooo........oo    546 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
610                                                   547 
611 G4double G4EmCorrections::DensityCorrection(co    548 G4double G4EmCorrections::DensityCorrection(const G4ParticleDefinition* p,
612                                             co << 549               const G4Material* mat,
613                                             co << 550               G4double e)
614 {                                                 551 {
615   SetupKinematics(p, mat, e);                     552   SetupKinematics(p, mat, e);
616                                                   553 
617   G4double cden  = material->GetIonisation()->    554   G4double cden  = material->GetIonisation()->GetCdensity();
618   G4double mden  = material->GetIonisation()->    555   G4double mden  = material->GetIonisation()->GetMdensity();
619   G4double aden  = material->GetIonisation()->    556   G4double aden  = material->GetIonisation()->GetAdensity();
620   G4double x0den = material->GetIonisation()->    557   G4double x0den = material->GetIonisation()->GetX0density();
621   G4double x1den = material->GetIonisation()->    558   G4double x1den = material->GetIonisation()->GetX1density();
622                                                   559 
                                                   >> 560   G4double twoln10 = 2.0*std::log(10.0);
623   G4double dedx = 0.0;                            561   G4double dedx = 0.0;
624                                                   562 
625   // density correction                           563   // density correction
626   static const G4double twoln10 = 2.0*G4Log(10 << 564   G4double x = std::log(bg2)/twoln10;
627   G4double x = G4Log(bg2)/twoln10;             << 
628   if ( x >= x0den ) {                             565   if ( x >= x0den ) {
629     dedx = twoln10*x - cden ;                     566     dedx = twoln10*x - cden ;
630     if ( x < x1den ) dedx += aden*G4Exp(G4Log( << 567     if ( x < x1den ) dedx += aden*std::pow((x1den-x),mden) ;
631   }                                               568   }
632                                                   569 
633   return dedx;                                    570   return dedx;
634 }                                                 571 }
635                                                   572 
636 //....oooOO0OOooo........oooOO0OOooo........oo    573 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
637                                                   574 
638 G4double G4EmCorrections::BarkasCorrection(con    575 G4double G4EmCorrections::BarkasCorrection(const G4ParticleDefinition* p,
639                                            con << 576              const G4Material* mat, 
640                                            con << 577              G4double e)
641                                            con << 
642 {                                                 578 {
643   // . Z^3 Barkas effect in the stopping power    579   // . Z^3 Barkas effect in the stopping power of matter for charged particles
644   //   J.C Ashley and R.H.Ritchie                 580   //   J.C Ashley and R.H.Ritchie
645   //   Physical review B Vol.5 No.7 1 April 19    581   //   Physical review B Vol.5 No.7 1 April 1972 pp. 2393-2397
646   //   valid for kineticEnergy > 0.5 MeV          582   //   valid for kineticEnergy > 0.5 MeV
647                                                   583 
648   if (!isInitialized) { SetupKinematics(p, mat << 584   SetupKinematics(p, mat, e);
649   G4double BarkasTerm = 0.0;                      585   G4double BarkasTerm = 0.0;
650                                                   586 
651   for (G4int i = 0; i<numberOfElements; ++i) {    587   for (G4int i = 0; i<numberOfElements; ++i) {
652                                                   588 
653     const G4int iz = (*theElementVector)[i]->G << 589     G4double Z = (*theElementVector)[i]->GetZ();
                                                   >> 590     G4int iz = G4int(Z);
654     if(iz == 47) {                                591     if(iz == 47) {
655       BarkasTerm += atomDensity[i]*0.006812*G4 << 592       BarkasTerm += atomDensity[i]*0.006812*std::pow(beta,-0.9);
656     } else if(iz >= 64) {                         593     } else if(iz >= 64) {
657       BarkasTerm += atomDensity[i]*0.002833*G4 << 594       BarkasTerm += atomDensity[i]*0.002833*std::pow(beta,-1.2);
658     } else {                                      595     } else {    
659                                                   596 
660       const G4double Z = (*theElementVector)[i << 597       G4double X = ba2 / Z;
661       const G4double X = ba2 / Z;              << 
662       G4double b = 1.3;                           598       G4double b = 1.3;
663       if(1 == iz) { b = (material->GetName() = << 599       if(1 == iz) {
                                                   >> 600   if(material->GetName() == "G4_lH2") { b = 0.6; }
                                                   >> 601   else                                { b = 1.8; }
                                                   >> 602       }
664       else if(2 == iz)  { b = 0.6; }              603       else if(2 == iz)  { b = 0.6; }
665       else if(10 >= iz) { b = 1.8; }              604       else if(10 >= iz) { b = 1.8; }
666       else if(17 >= iz) { b = 1.4; }              605       else if(17 >= iz) { b = 1.4; }
667       else if(18 == iz) { b = 1.8; }              606       else if(18 == iz) { b = 1.8; }
668       else if(25 >= iz) { b = 1.4; }              607       else if(25 >= iz) { b = 1.4; }
669       else if(50 >= iz) { b = 1.35;}              608       else if(50 >= iz) { b = 1.35;}
670                                                   609 
671       const G4double W = b/std::sqrt(X);       << 610       G4double W = b/std::sqrt(X);
672                                                   611 
673       G4double val = sBarkasCorr->Value(W, idx << 612       G4double val = BarkasCorr->Value(W);
674       if (W > sWmaxBarkas) { val *= (sWmaxBark << 613       if(W > BarkasCorr->Energy(46)) { 
                                                   >> 614   val *= BarkasCorr->Energy(46)/W; 
                                                   >> 615       } 
675       //    G4cout << "i= " << i << " b= " <<     616       //    G4cout << "i= " << i << " b= " << b << " W= " << W 
676       // << " Z= " << Z << " X= " << X << " va    617       // << " Z= " << Z << " X= " << X << " val= " << val<< G4endl;
677       BarkasTerm += val*atomDensity[i] / (std:    618       BarkasTerm += val*atomDensity[i] / (std::sqrt(Z*X)*X);
678     }                                             619     }
679   }                                               620   }
680                                                   621 
681   BarkasTerm *= 1.29*charge/material->GetTotNb    622   BarkasTerm *= 1.29*charge/material->GetTotNbOfAtomsPerVolume();
682                                                   623 
                                                   >> 624   // temporary protection
                                                   >> 625   //if(charge < -7.0 ) { BarkasTerm *= (-7.0/charge); }
                                                   >> 626 
683   return BarkasTerm;                              627   return BarkasTerm;
684 }                                                 628 }
685                                                   629 
686 //....oooOO0OOooo........oooOO0OOooo........oo    630 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
687                                                   631 
688 G4double G4EmCorrections::BlochCorrection(cons    632 G4double G4EmCorrections::BlochCorrection(const G4ParticleDefinition* p,
689                                           cons << 633             const G4Material* mat,
690                                           cons << 634             G4double e)
691                                           cons << 
692 {                                                 635 {
693   if (!isInitialized) { SetupKinematics(p, mat << 636   SetupKinematics(p, mat, e);
694                                                   637 
695   G4double y2 = q2/ba2;                           638   G4double y2 = q2/ba2;
696                                                   639 
697   G4double term = 1.0/(1.0 + y2);                 640   G4double term = 1.0/(1.0 + y2);
698   G4double del;                                   641   G4double del;
699   G4double j = 1.0;                               642   G4double j = 1.0;
700   do {                                            643   do {
701     j += 1.0;                                     644     j += 1.0;
702     del = 1.0/(j* (j*j + y2));                    645     del = 1.0/(j* (j*j + y2));
703     term += del;                                  646     term += del;
704     // Loop checking, 03-Aug-2015, Vladimir Iv << 
705   } while (del > 0.01*term);                      647   } while (del > 0.01*term);
706                                                   648 
707   return -y2*term;                             << 649   G4double res = -y2*term;
                                                   >> 650   // temporary protection
                                                   >> 651   //if(q2 > 49. && res < -0.2) { res = -0.2; }
                                                   >> 652 
                                                   >> 653   return res;
708 }                                                 654 }
709                                                   655 
710 //....oooOO0OOooo........oooOO0OOooo........oo    656 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
711                                                   657 
712 G4double G4EmCorrections::MottCorrection(const    658 G4double G4EmCorrections::MottCorrection(const G4ParticleDefinition* p,
713                                          const << 659            const G4Material* mat, 
714                                          const << 660            G4double e)
715                                          const << 
716 {                                                 661 {
717   if (!isInitialized) { SetupKinematics(p, mat << 662   SetupKinematics(p, mat, e);
718   return CLHEP::pi*CLHEP::fine_structure_const << 663   G4double mterm = CLHEP::pi*fine_structure_const*beta*charge;
                                                   >> 664   return mterm;
719 }                                                 665 }
720                                                   666 
721 //....oooOO0OOooo........oooOO0OOooo........oo    667 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
722                                                   668 
723 G4double                                       << 669 G4double G4EmCorrections::NuclearDEDX(const G4ParticleDefinition* p,
724 G4EmCorrections::EffectiveChargeCorrection(con << 670               const G4Material* mat,
725                                            con << 671               G4double e,
726                                            con << 672               G4bool fluct)
727 {                                                 673 {
728   G4double factor = 1.0;                       << 674   G4double nloss = 0.0;
729   if(p->GetPDGCharge() <= 2.5*CLHEP::eplus ||  << 675   if(e <= 0.0) return nloss; 
                                                   >> 676   SetupKinematics(p, mat, e);
                                                   >> 677 
                                                   >> 678   lossFlucFlag = fluct;
                                                   >> 679 
                                                   >> 680   // Projectile nucleus
                                                   >> 681   G4double z1 = std::fabs(particle->GetPDGCharge()/eplus);
                                                   >> 682   G4double mass1 = mass/amu_c2;
                                                   >> 683 
                                                   >> 684   //  loop for the elements in the material
                                                   >> 685   for (G4int iel=0; iel<numberOfElements; iel++) {
                                                   >> 686     const G4Element* element = (*theElementVector)[iel] ;
                                                   >> 687     G4double z2 = element->GetZ();
                                                   >> 688     G4double mass2 = element->GetA()*mole/g ;
                                                   >> 689     nloss += (NuclearStoppingPower(kinEnergy, z1, z2, mass1, mass2))
                                                   >> 690            * atomDensity[iel] ;
                                                   >> 691   }
                                                   >> 692   nloss *= theZieglerFactor;
                                                   >> 693   return nloss;
                                                   >> 694 }
                                                   >> 695 
                                                   >> 696 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
                                                   >> 697 
                                                   >> 698 G4double G4EmCorrections::NuclearStoppingPower(G4double kineticEnergy,
                                                   >> 699                                                G4double z1, G4double z2,
                                                   >> 700                                                G4double mass1, G4double mass2)
                                                   >> 701 {
                                                   >> 702   G4double energy = kineticEnergy/keV ;  // energy in keV
                                                   >> 703   G4double nloss = 0.0;
730                                                   704   
                                                   >> 705   G4double rm;
                                                   >> 706   if(z1 > 1.5) rm = (mass1 + mass2) * ( Z23[G4int(z1)] + Z23[G4int(z2)] ) ;
                                                   >> 707   else         rm = (mass1 + mass2) * nist->GetZ13(G4int(z2));
                                                   >> 708 
                                                   >> 709   G4double er = 32.536 * mass2 * energy / ( z1 * z2 * rm ) ;  // reduced energy
                                                   >> 710 
                                                   >> 711   if (er >= ed[0]) { nloss = a[0]; }
                                                   >> 712   else {
                                                   >> 713     // the table is inverse in energy
                                                   >> 714     for (G4int i=102; i>=0; i--)
                                                   >> 715     {
                                                   >> 716       if (er <= ed[i]) {
                                                   >> 717   nloss = (a[i] - a[i+1])*(er - ed[i+1])/(ed[i] - ed[i+1]) + a[i+1];
                                                   >> 718   break;
                                                   >> 719       }
                                                   >> 720     }
                                                   >> 721   }
                                                   >> 722 
                                                   >> 723   // Stragling
                                                   >> 724   if(lossFlucFlag) {
                                                   >> 725     //    G4double sig = 4.0 * m1 * m2 / ((m1 + m2)*(m1 + m2)*
                                                   >> 726     //   (4.0 + 0.197*std::pow(er,-1.6991)+6.584*std::pow(er,-1.0494))) ;
                                                   >> 727     G4double sig = 4.0 * mass1 * mass2 / ((mass1 + mass2)*(mass1 + mass2)*
                                                   >> 728             (4.0 + 0.197/(er*er) + 6.584/er));
                                                   >> 729 
                                                   >> 730     nloss *= G4RandGauss::shoot(1.0,sig) ;
                                                   >> 731   }
                                                   >> 732    
                                                   >> 733   nloss *= 8.462 * z1 * z2 * mass1 / rm ; // Return to [ev/(10^15 atoms/cm^2]
                                                   >> 734 
                                                   >> 735   if ( nloss < 0.0) nloss = 0.0 ;
                                                   >> 736 
                                                   >> 737   return nloss;
                                                   >> 738 }
                                                   >> 739 
                                                   >> 740 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
                                                   >> 741 
                                                   >> 742 G4double G4EmCorrections::EffectiveChargeCorrection(const G4ParticleDefinition* p,
                                                   >> 743                 const G4Material* mat,
                                                   >> 744                 G4double ekin)
                                                   >> 745 {
                                                   >> 746   G4double factor = 1.0;
                                                   >> 747   if(p->GetPDGCharge() <= 2.5*eplus || nIons <= 0) return factor;
                                                   >> 748   /*
731   if(verbose > 1) {                               749   if(verbose > 1) {
732     G4cout << "EffectiveChargeCorrection: " <<    750     G4cout << "EffectiveChargeCorrection: " << p->GetParticleName() 
733            << " in " << mat->GetName()         << 751      << " in " << mat->GetName()
734            << " ekin(MeV)= " << ekin/MeV << G4    752            << " ekin(MeV)= " << ekin/MeV << G4endl;
735   }                                               753   }
736                                                << 754   */
737   if(p != curParticle || mat != curMaterial) {    755   if(p != curParticle || mat != curMaterial) {
738     curParticle = p;                              756     curParticle = p;
739     curMaterial = mat;                            757     curMaterial = mat;
740     curVector   = nullptr;                     << 758     curVector   = 0;
741     currentZ = p->GetAtomicNumber();              759     currentZ = p->GetAtomicNumber();
742     if(verbose > 1) {                             760     if(verbose > 1) {
743       G4cout << "G4EmCorrections::EffectiveCha    761       G4cout << "G4EmCorrections::EffectiveChargeCorrection: Zion= " 
744              << currentZ << " Aion= " << p->Ge << 762        << currentZ << " Aion= " << p->GetPDGMass()/amu_c2 << G4endl;
745     }                                             763     }
746     massFactor = CLHEP::proton_mass_c2/p->GetP << 764     massFactor = proton_mass_c2/p->GetPDGMass();
747     idx = -1;                                     765     idx = -1;
748                                                   766 
749     for(G4int i=0; i<nIons; ++i) {                767     for(G4int i=0; i<nIons; ++i) {
750       if(materialList[i] == mat && currentZ ==    768       if(materialList[i] == mat && currentZ == Zion[i]) {
751         idx = i;                                  769         idx = i;
752         break;                                    770         break;
753       }                                           771       }
754     }                                             772     }
755     //G4cout << " idx= " << idx << " dz= " <<  << 773     //    G4cout << " idx= " << idx << " dz= " << G4endl;
756     if(idx >= 0) {                                774     if(idx >= 0) {
757       if(nullptr == ionList[idx]) { BuildCorre << 775       if(!ionList[idx]) BuildCorrectionVector(); 
758       curVector = stopData[idx];               << 776       if(ionList[idx])  curVector = stopData[idx];
759     } else {                                   << 777     } else { return factor; }
760       return factor;                           << 
761     }                                          << 
762   }                                               778   }
763   if(nullptr != curVector) {                   << 779   if(curVector) {
764     factor = curVector->Value(ekin*massFactor)    780     factor = curVector->Value(ekin*massFactor);
765     if(verbose > 1) {                             781     if(verbose > 1) {
766       G4cout << "E= " << ekin << " factor= " <    782       G4cout << "E= " << ekin << " factor= " << factor << " massfactor= " 
767              << massFactor << G4endl;          << 783        << massFactor << G4endl;
768     }                                             784     }
769   }                                               785   }
770   return factor;                                  786   return factor;
771 }                                                 787 }
772                                                   788 
773 //....oooOO0OOooo........oooOO0OOooo........oo    789 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
774                                                   790 
775 void G4EmCorrections::AddStoppingData(const G4 << 791 void G4EmCorrections::AddStoppingData(G4int Z, G4int A,
776                                       const G4 << 792               const G4String& mname,
777                                       G4Physic << 793               G4PhysicsVector* dVector)
778 {                                                 794 {
779   G4int i = 0;                                    795   G4int i = 0;
780   for(; i<nIons; ++i) {                           796   for(; i<nIons; ++i) {
781     if(Z == Zion[i] && A == Aion[i] && mname =    797     if(Z == Zion[i] && A == Aion[i] && mname == materialName[i]) break;
782   }                                               798   }
783   if(i == nIons) {                                799   if(i == nIons) {
784     Zion.push_back(Z);                            800     Zion.push_back(Z);
785     Aion.push_back(A);                            801     Aion.push_back(A);
786     materialName.push_back(mname);                802     materialName.push_back(mname);
787     materialList.push_back(nullptr);           << 803     materialList.push_back(0);
788     ionList.push_back(nullptr);                << 804     ionList.push_back(0);
789     stopData.push_back(dVector);                  805     stopData.push_back(dVector);
790     nIons++;                                      806     nIons++;
791     if(verbose > 1) {                          << 807     if(verbose>1) {
792       G4cout << "AddStoppingData Z= " << Z <<     808       G4cout << "AddStoppingData Z= " << Z << " A= " << A << " " << mname
793              << "  idx= " << i << G4endl;      << 809        << "  idx= " << i << G4endl;
794     }                                             810     }
795   }                                               811   }
796 }                                                 812 }
797                                                   813 
798 //....oooOO0OOooo........oooOO0OOooo........oo    814 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
799                                                   815 
800 void G4EmCorrections::BuildCorrectionVector()     816 void G4EmCorrections::BuildCorrectionVector()
801 {                                                 817 {
802   if(nullptr == ionLEModel || nullptr == ionHE << 818   if(!ionLEModel || !ionHEModel) {
803     return;                                       819     return;
804   }                                               820   }
805                                                   821 
806   const G4ParticleDefinition* ion = curParticl    822   const G4ParticleDefinition* ion = curParticle;
807   const G4ParticleDefinition* gion = G4Generic << 
808   G4int Z = Zion[idx];                            823   G4int Z = Zion[idx];
809   G4double A = Aion[idx];                      << 824   if(currentZ != Z) {
                                                   >> 825     ion = G4ParticleTable::GetParticleTable()->FindIon(Z, Aion[idx], 0, Z);
                                                   >> 826   }
                                                   >> 827   //G4cout << "BuildCorrectionVector: idx= " << idx << " Z= " << Z 
                                                   >> 828   //   << " curZ= " << currentZ << G4endl;
                                                   >> 829 
                                                   >> 830   // G4double A = nist->GetAtomicMassAmu(Z);
                                                   >> 831   G4double A = G4double(ion->GetBaryonNumber());
810   G4PhysicsVector* v = stopData[idx];             832   G4PhysicsVector* v = stopData[idx];
811                                                << 833     
812   if(verbose > 1) {                            << 834   const G4ParticleDefinition* p = G4GenericIon::GenericIon();
                                                   >> 835   G4double massRatio = proton_mass_c2/ion->GetPDGMass();
                                                   >> 836 
                                                   >> 837   if(verbose>1) {
813     G4cout << "BuildCorrectionVector: Stopping    838     G4cout << "BuildCorrectionVector: Stopping for "
814            << curParticle->GetParticleName() < << 839      << curParticle->GetParticleName() << " in " 
815            << materialName[idx] << " Ion Z= "  << 840      << materialName[idx] << " Ion Z= " << Z << " A= " << A
816            << " massFactor= " << massFactor << << 841      << " massRatio= " << massRatio << G4endl;
817     G4cout << "    Nbins=" << nbinCorr << " Em << 
818      << " Emax(MeV)=" << eCorrMax << " ion: "  << 
819            << ion->GetParticleName() << G4endl << 
820   }                                               842   }
821                                                   843 
822   auto vv = new G4PhysicsLogVector(eCorrMin,eC << 844   G4PhysicsLogVector* vv = 
823   const G4double eth0 = v->Energy(0);          << 845     new G4PhysicsLogVector(eCorrMin,eCorrMax,nbinCorr);
824   const G4double escal = eth/massFactor;       << 846   vv->SetSpline(true);
                                                   >> 847   G4double e, eion, dedx, dedx1;
                                                   >> 848   G4double eth0 = v->Energy(0);
                                                   >> 849   G4double escal = eth/massRatio;
825   G4double qe =                                   850   G4double qe = 
826     effCharge.EffectiveChargeSquareRatio(curPa << 851     effCharge.EffectiveChargeSquareRatio(ion, curMaterial, escal); 
827   const G4double dedxt =                       << 852   G4double dedxt = 
828     ionLEModel->ComputeDEDXPerVolume(curMateri << 853     ionLEModel->ComputeDEDXPerVolume(curMaterial, p, eth, eth)*qe;
829   const G4double dedx1t =                      << 854   G4double dedx1t = 
830     ionHEModel->ComputeDEDXPerVolume(curMateri << 855     ionHEModel->ComputeDEDXPerVolume(curMaterial, p, eth, eth)*qe 
831     + ComputeIonCorrections(curParticle, curMa    856     + ComputeIonCorrections(curParticle, curMaterial, escal);
832   const G4double rest = escal*(dedxt - dedx1t) << 857   G4double rest = escal*(dedxt - dedx1t);
833   if(verbose > 1) {                            << 858   //G4cout << "Escal(MeV)= "<<escal<<" dedxt0= " <<dedxt 
834     G4cout << "Escal(MeV)= " << escal << " qe= << 859   //   << " dedxt1= " << dedx1t << G4endl;   
835            << " dedxt= " << dedxt << " dedx1t= << 860 
836   }                                            << 
837   for(G4int i=0; i<=nbinCorr; ++i) {              861   for(G4int i=0; i<=nbinCorr; ++i) {
838     // energy in the local table (GenericIon)  << 862     e = vv->Energy(i);
839     G4double e = vv->Energy(i);                << 863     escal = e/massRatio;
840     // energy of the real ion                  << 864     eion  = escal/A;
841     G4double eion = e/massFactor;              << 865     if(eion <= eth0) {
842     // energy in the imput stopping data vecto << 866       dedx = v->Value(eth0)*std::sqrt(eion/eth0);
843     G4double e1 = eion/A;                      << 867     } else {
844     G4double dedx = (e1 < eth0)                << 868       dedx = v->Value(eion);
845       ? v->Value(eth0)*std::sqrt(e1/eth0) : v- << 869     }
846     qe = effCharge.EffectiveChargeSquareRatio( << 870     qe = effCharge.EffectiveChargeSquareRatio(curParticle,curMaterial,escal); 
847     G4double dedx1 = (e <= eth)                << 871     if(e <= eth) {
848       ? ionLEModel->ComputeDEDXPerVolume(curMa << 872       dedx1 = ionLEModel->ComputeDEDXPerVolume(curMaterial, p, e, e)*qe;
849       : ionHEModel->ComputeDEDXPerVolume(curMa << 873     } else {
850       ComputeIonCorrections(curParticle, curMa << 874       dedx1 = ionHEModel->ComputeDEDXPerVolume(curMaterial, p, e, e)*qe +
                                                   >> 875   ComputeIonCorrections(curParticle, curMaterial, escal) + rest/escal;
                                                   >> 876     }
851     vv->PutValue(i, dedx/dedx1);                  877     vv->PutValue(i, dedx/dedx1);
852     if(verbose > 1) {                          << 878     if(verbose>1) {
853       G4cout << "E(MeV)=" << e/CLHEP::MeV << " << 879       G4cout << "  E(meV)= " << e/MeV << "   Correction= " << dedx/dedx1
854        << " e1=" << e1 << " dedxRatio= " << de << 880        << "   "  << dedx << " " << dedx1 
855              << " dedx="  << dedx << " dedx1=" << 881        << "  massF= " << massFactor << G4endl;
856              << " qe=" << qe << " rest/eion="  << 
857     }                                             882     }
858   }                                               883   }
859   delete v;                                       884   delete v;
860   ionList[idx]  = ion;                            885   ionList[idx]  = ion;
861   stopData[idx] = vv;                             886   stopData[idx] = vv;
862   if(verbose > 1) { G4cout << "End data set "  << 887   if(verbose>1) { G4cout << "End data set " << G4endl; }
863 }                                                 888 }
864                                                   889 
865 //....oooOO0OOooo........oooOO0OOooo........oo    890 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
866                                                   891 
867 void G4EmCorrections::InitialiseForNewRun()       892 void G4EmCorrections::InitialiseForNewRun()
868 {                                                 893 {
869   G4ProductionCutsTable* tb = G4ProductionCuts    894   G4ProductionCutsTable* tb = G4ProductionCutsTable::GetProductionCutsTable();
870   ncouples = tb->GetTableSize();                  895   ncouples = tb->GetTableSize();
871   if(currmat.size() != ncouples) {                896   if(currmat.size() != ncouples) {
872     currmat.resize(ncouples);                     897     currmat.resize(ncouples);
873     for(auto it = thcorr.begin(); it != thcorr << 898     for(std::map< G4int, std::vector<G4double> >::iterator it = 
                                                   >> 899         thcorr.begin(); it != thcorr.end(); ++it){
874       (it->second).clear();                       900       (it->second).clear();
875     }                                             901     }
876     thcorr.clear();                               902     thcorr.clear();
877     for(std::size_t i=0; i<ncouples; ++i) {    << 903     for(size_t i=0; i<ncouples; ++i) {
878       currmat[i] = tb->GetMaterialCutsCouple(( << 904       currmat[i] = tb->GetMaterialCutsCouple(i)->GetMaterial();
879       G4String nam = currmat[i]->GetName();       905       G4String nam = currmat[i]->GetName();
880       for(G4int j=0; j<nIons; ++j) {              906       for(G4int j=0; j<nIons; ++j) {
881         if(nam == materialName[j]) { materialL << 907   if(nam == materialName[j]) { materialList[j] = currmat[i]; }
882       }                                           908       }
883     }                                             909     }
884   }                                               910   }
885 }                                                 911 }
886                                                   912 
887 //....oooOO0OOooo........oooOO0OOooo........oo    913 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
888                                                   914 
889 void G4EmCorrections::Initialise()                915 void G4EmCorrections::Initialise()
890 {                                                 916 {
891   // Z^3 Barkas effect in the stopping power o << 917 // . Z^3 Barkas effect in the stopping power of matter for charged particles
892   // J.C Ashley and R.H.Ritchie                << 918 //   J.C Ashley and R.H.Ritchie
893   // Physical review B Vol.5 No.7 1 April 1972 << 919 //   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;                                     920   G4int i, j;
898   static const G4double fTable[47][2] = {      << 921   const G4double fTable[47][2] = {
899    { 0.02, 21.5},                                 922    { 0.02, 21.5},
900    { 0.03, 20.0},                                 923    { 0.03, 20.0},
901    { 0.04, 18.0},                                 924    { 0.04, 18.0},
902    { 0.05, 15.6},                                 925    { 0.05, 15.6},
903    { 0.06, 15.0},                                 926    { 0.06, 15.0},
904    { 0.07, 14.0},                                 927    { 0.07, 14.0},
905    { 0.08, 13.5},                                 928    { 0.08, 13.5},
906    { 0.09, 13.},                                  929    { 0.09, 13.},
907    { 0.1,  12.2},                                 930    { 0.1,  12.2},
908    { 0.2,  9.25},                                 931    { 0.2,  9.25},
909    { 0.3,  7.0},                                  932    { 0.3,  7.0},
910    { 0.4,  6.0},                                  933    { 0.4,  6.0},
911    { 0.5,  4.5},                                  934    { 0.5,  4.5},
912    { 0.6,  3.5},                                  935    { 0.6,  3.5},
913    { 0.7,  3.0},                                  936    { 0.7,  3.0},
914    { 0.8,  2.5},                                  937    { 0.8,  2.5},
915    { 0.9,  2.0},                                  938    { 0.9,  2.0},
916    { 1.0,  1.7},                                  939    { 1.0,  1.7},
917    { 1.2,  1.2},                                  940    { 1.2,  1.2},
918    { 1.3,  1.0},                                  941    { 1.3,  1.0},
919    { 1.4,  0.86},                                 942    { 1.4,  0.86},
920    { 1.5,  0.7},                                  943    { 1.5,  0.7},
921    { 1.6,  0.61},                                 944    { 1.6,  0.61},
922    { 1.7,  0.52},                                 945    { 1.7,  0.52},
923    { 1.8,  0.5},                                  946    { 1.8,  0.5},
924    { 1.9,  0.43},                                 947    { 1.9,  0.43},
925    { 2.0,  0.42},                                 948    { 2.0,  0.42},
926    { 2.1,  0.3},                                  949    { 2.1,  0.3},
927    { 2.4,  0.2},                                  950    { 2.4,  0.2},
928    { 3.0,  0.13},                                 951    { 3.0,  0.13},
929    { 3.08, 0.1},                                  952    { 3.08, 0.1},
930    { 3.1,  0.09},                                 953    { 3.1,  0.09},
931    { 3.3,  0.08},                                 954    { 3.3,  0.08},
932    { 3.5,  0.07},                                 955    { 3.5,  0.07},
933    { 3.8,  0.06},                                 956    { 3.8,  0.06},
934    { 4.0,  0.051},                                957    { 4.0,  0.051},
935    { 4.1,  0.04},                                 958    { 4.1,  0.04},
936    { 4.8,  0.03},                                 959    { 4.8,  0.03},
937    { 5.0,  0.024},                                960    { 5.0,  0.024},
938    { 5.1,  0.02},                                 961    { 5.1,  0.02},
939    { 6.0,  0.013},                                962    { 6.0,  0.013},
940    { 6.5,  0.01},                                 963    { 6.5,  0.01},
941    { 7.0,  0.009},                                964    { 7.0,  0.009},
942    { 7.1,  0.008},                                965    { 7.1,  0.008},
943    { 8.0,  0.006},                                966    { 8.0,  0.006},
944    { 9.0,  0.0032},                               967    { 9.0,  0.0032},
945    { 10.0, 0.0025} };                             968    { 10.0, 0.0025} };
946                                                   969 
947   sBarkasCorr = new G4PhysicsFreeVector(47, fa << 970   BarkasCorr = new G4LPhysicsFreeVector(47, 0.02, 10.);
948   for(i=0; i<47; ++i) { sBarkasCorr->PutValues << 971   for(i=0; i<47; ++i) { BarkasCorr->PutValues(i, fTable[i][0], fTable[i][1]); }
                                                   >> 972   BarkasCorr->SetSpline(true);
                                                   >> 973 
                                                   >> 974   const G4double nuca[104][2] = {
                                                   >> 975   { 1.0E+8, 5.831E-8},
                                                   >> 976   { 8.0E+7, 7.288E-8},
                                                   >> 977   { 6.0E+7, 9.719E-8},
                                                   >> 978   { 5.0E+7, 1.166E-7},
                                                   >> 979   { 4.0E+7, 1.457E-7},
                                                   >> 980   { 3.0E+7, 1.942E-7},
                                                   >> 981   { 2.0E+7, 2.916E-7},
                                                   >> 982   { 1.5E+7, 3.887E-7},
                                                   >> 983 
                                                   >> 984   { 1.0E+7, 5.833E-7},
                                                   >> 985   { 8.0E+6, 7.287E-7},
                                                   >> 986   { 6.0E+6, 9.712E-7},
                                                   >> 987   { 5.0E+6, 1.166E-6},
                                                   >> 988   { 4.0E+6, 1.457E-6},
                                                   >> 989   { 3.0E+6, 1.941E-6},
                                                   >> 990   { 2.0E+6, 2.911E-6},
                                                   >> 991   { 1.5E+6, 3.878E-6},
                                                   >> 992 
                                                   >> 993   { 1.0E+6, 5.810E-6},
                                                   >> 994   { 8.0E+5, 7.262E-6},
                                                   >> 995   { 6.0E+5, 9.663E-6},
                                                   >> 996   { 5.0E+5, 1.157E-5},
                                                   >> 997   { 4.0E+5, 1.442E-5},
                                                   >> 998   { 3.0E+5, 1.913E-5},
                                                   >> 999   { 2.0E+5, 2.845E-5},
                                                   >> 1000   { 1.5E+5, 3.762E-5},
                                                   >> 1001 
                                                   >> 1002   { 1.0E+5, 5.554E-5},
                                                   >> 1003   { 8.0E+4, 6.866E-5},
                                                   >> 1004   { 6.0E+4, 9.020E-5},
                                                   >> 1005   { 5.0E+4, 1.070E-4},
                                                   >> 1006   { 4.0E+4, 1.319E-4},
                                                   >> 1007   { 3.0E+4, 1.722E-4},
                                                   >> 1008   { 2.0E+4, 2.499E-4},
                                                   >> 1009   { 1.5E+4, 3.248E-4},
                                                   >> 1010 
                                                   >> 1011   { 1.0E+4, 4.688E-4},
                                                   >> 1012   { 8.0E+3, 5.729E-4},
                                                   >> 1013   { 6.0E+3, 7.411E-4},
                                                   >> 1014   { 5.0E+3, 8.718E-4},
                                                   >> 1015   { 4.0E+3, 1.063E-3},
                                                   >> 1016   { 3.0E+3, 1.370E-3},
                                                   >> 1017   { 2.0E+3, 1.955E-3},
                                                   >> 1018   { 1.5E+3, 2.511E-3},
                                                   >> 1019 
                                                   >> 1020   { 1.0E+3, 3.563E-3},
                                                   >> 1021   { 8.0E+2, 4.314E-3},
                                                   >> 1022   { 6.0E+2, 5.511E-3},
                                                   >> 1023   { 5.0E+2, 6.430E-3},
                                                   >> 1024   { 4.0E+2, 7.756E-3},
                                                   >> 1025   { 3.0E+2, 9.855E-3},
                                                   >> 1026   { 2.0E+2, 1.375E-2},
                                                   >> 1027   { 1.5E+2, 1.736E-2},
                                                   >> 1028 
                                                   >> 1029   { 1.0E+2, 2.395E-2},
                                                   >> 1030   { 8.0E+1, 2.850E-2},
                                                   >> 1031   { 6.0E+1, 3.552E-2},
                                                   >> 1032   { 5.0E+1, 4.073E-2},
                                                   >> 1033   { 4.0E+1, 4.802E-2},
                                                   >> 1034   { 3.0E+1, 5.904E-2},
                                                   >> 1035   { 1.5E+1, 9.426E-2},
                                                   >> 1036 
                                                   >> 1037   { 1.0E+1, 1.210E-1},
                                                   >> 1038   { 8.0E+0, 1.377E-1},
                                                   >> 1039   { 6.0E+0, 1.611E-1},
                                                   >> 1040   { 5.0E+0, 1.768E-1},
                                                   >> 1041   { 4.0E+0, 1.968E-1},
                                                   >> 1042   { 3.0E+0, 2.235E-1},
                                                   >> 1043   { 2.0E+0, 2.613E-1},
                                                   >> 1044   { 1.5E+0, 2.871E-1},
                                                   >> 1045 
                                                   >> 1046   { 1.0E+0, 3.199E-1},
                                                   >> 1047   { 8.0E-1, 3.354E-1},
                                                   >> 1048   { 6.0E-1, 3.523E-1},
                                                   >> 1049   { 5.0E-1, 3.609E-1},
                                                   >> 1050   { 4.0E-1, 3.693E-1},
                                                   >> 1051   { 3.0E-1, 3.766E-1},
                                                   >> 1052   { 2.0E-1, 3.803E-1},
                                                   >> 1053   { 1.5E-1, 3.788E-1},
                                                   >> 1054 
                                                   >> 1055   { 1.0E-1, 3.711E-1},
                                                   >> 1056   { 8.0E-2, 3.644E-1},
                                                   >> 1057   { 6.0E-2, 3.530E-1},
                                                   >> 1058   { 5.0E-2, 3.444E-1},
                                                   >> 1059   { 4.0E-2, 3.323E-1},
                                                   >> 1060   { 3.0E-2, 3.144E-1},
                                                   >> 1061   { 2.0E-2, 2.854E-1},
                                                   >> 1062   { 1.5E-2, 2.629E-1},
                                                   >> 1063 
                                                   >> 1064   { 1.0E-2, 2.298E-1},
                                                   >> 1065   { 8.0E-3, 2.115E-1},
                                                   >> 1066   { 6.0E-3, 1.883E-1},
                                                   >> 1067   { 5.0E-3, 1.741E-1},
                                                   >> 1068   { 4.0E-3, 1.574E-1},
                                                   >> 1069   { 3.0E-3, 1.372E-1},
                                                   >> 1070   { 2.0E-3, 1.116E-1},
                                                   >> 1071   { 1.5E-3, 9.559E-2},
                                                   >> 1072 
                                                   >> 1073   { 1.0E-3, 7.601E-2},
                                                   >> 1074   { 8.0E-4, 6.668E-2},
                                                   >> 1075   { 6.0E-4, 5.605E-2},
                                                   >> 1076   { 5.0E-4, 5.008E-2},
                                                   >> 1077   { 4.0E-4, 4.352E-2},
                                                   >> 1078   { 3.0E-4, 3.617E-2},
                                                   >> 1079   { 2.0E-4, 2.768E-2},
                                                   >> 1080   { 1.5E-4, 2.279E-2},
                                                   >> 1081 
                                                   >> 1082   { 1.0E-4, 1.723E-2},
                                                   >> 1083   { 8.0E-5, 1.473E-2},
                                                   >> 1084   { 6.0E-5, 1.200E-2},
                                                   >> 1085   { 5.0E-5, 1.052E-2},
                                                   >> 1086   { 4.0E-5, 8.950E-3},
                                                   >> 1087   { 3.0E-5, 7.246E-3},
                                                   >> 1088   { 2.0E-5, 5.358E-3},
                                                   >> 1089   { 1.5E-5, 4.313E-3},
                                                   >> 1090   { 0.0, 3.166E-3}
                                                   >> 1091   };
                                                   >> 1092 
                                                   >> 1093   for(i=0; i<104; ++i) {
                                                   >> 1094     ed[i] = nuca[i][0];
                                                   >> 1095     a[i] = nuca[i][1];
                                                   >> 1096   }
                                                   >> 1097 
                                                   >> 1098   // Constants
                                                   >> 1099   theZieglerFactor = eV*cm2*1.0e-15 ; 
                                                   >> 1100   alpha2           = fine_structure_const*fine_structure_const;
                                                   >> 1101   lossFlucFlag     = true;
                                                   >> 1102 
                                                   >> 1103   // G.S. Khandelwal Nucl. Phys. A116(1968)97 - 111.
                                                   >> 1104   // "Shell corrections for K- and L- electrons
949                                                   1105 
950   const G4double SK[20] = {1.9477, 1.9232, 1.8 << 1106   nK = 20;
                                                   >> 1107   nL = 26;
                                                   >> 1108   nEtaK = 29;
                                                   >> 1109   nEtaL = 28;
                                                   >> 1110 
                                                   >> 1111   const G4double d[11] = {0., 0., 0., 1.72, 2.09, 2.48, 2.82, 3.16, 3.53, 3.84, 4.15};
                                                   >> 1112   const G4double thek[20] = {0.64, 0.65, 0.66, 0.68, 0.70, 0.72, 0.74, 0.75, 0.76, 0.78,
                                                   >> 1113                              0.80, 0.82, 0.84, 0.85, 0.86, 0.88, 0.90, 0.92, 0.94, 0.95};
                                                   >> 1114   const G4double sk[20] = {1.9477, 1.9232, 1.8996, 1.8550, 1.8137,
951                            1.7754, 1.7396, 1.7    1115                            1.7754, 1.7396, 1.7223, 1.7063, 1.6752,
952                            1.6461, 1.6189, 1.5    1116                            1.6461, 1.6189, 1.5933, 1.5811, 1.5693,
953                            1.5467, 1.5254, 1.5    1117                            1.5467, 1.5254, 1.5053, 1.4863, 1.4772};
954   const G4double TK[20] = {2.5222, 2.5125, 2.5 << 1118   const G4double tk[20] = {2.5222, 2.5125, 2.5026, 2.4821, 2.4608,
955                            2.4388, 2.4163, 2.4    1119                            2.4388, 2.4163, 2.4044, 2.3933, 2.3701,
956                            2.3466, 2.3229, 2.2    1120                            2.3466, 2.3229, 2.2992, 2.2872, 2.2753,
957                            2.2515, 2.2277, 2.2    1121                            2.2515, 2.2277, 2.2040, 2.1804, 2.1686};
                                                   >> 1122   const G4double uk[20] = {1.9999, 2.0134, 2.0258, 2.0478, 2.0662,
                                                   >> 1123                            2.0817, 2.0945, 2.0999, 2.1049, 2.1132,
                                                   >> 1124                            2.1197, 2.1246, 2.1280, 2.1292, 2.1301,
                                                   >> 1125                            2.1310, 2.1310, 2.1300, 2.1283, 2.1271};
                                                   >> 1126   const G4double vk[20] = {8.3410, 8.3373, 8.3340, 8.3287, 8.3247,
                                                   >> 1127                            8.3219, 8.3201, 8.3194, 8.3191, 8.3188,
                                                   >> 1128                            8.3191, 8.3199, 8.3211, 8.3218, 8.3226,
                                                   >> 1129                            8.3244, 8.3264, 8.3285, 8.3308, 8.3320};
                                                   >> 1130 
                                                   >> 1131   for(i=0; i<11; ++i) { ZD[i] = d[i];}
                                                   >> 1132 
                                                   >> 1133   for(i=0; i<nK; ++i) {
                                                   >> 1134     TheK[i] = thek[i];
                                                   >> 1135     SK[i]   = sk[i];
                                                   >> 1136     TK[i]   = tk[i];
                                                   >> 1137     UK[i]   = uk[i];
                                                   >> 1138     VK[i]   = vk[i];
                                                   >> 1139   }
958                                                   1140 
959   const G4double SL[26] = {15.3343, 13.9389, 1 << 1141   const G4double thel[26] = {0.24, 0.26, 0.28, 0.30, 0.32,   0.34, 0.35, 0.36, 0.38, 0.40,
                                                   >> 1142                              0.42, 0.44, 0.45, 0.46, 0.48,   0.50, 0.52, 0.54, 0.55, 0.56,
                                                   >> 1143                              0.58, 0.60, 0.62, 0.64, 0.65,   0.66};
                                                   >> 1144   const G4double sl[26] = {15.3343, 13.9389, 12.7909, 11.8343, 11.0283,
960                            10.3424, 10.0371,      1145                            10.3424, 10.0371,  9.7537,  9.2443,  8.8005,
961                            8.4114,  8.0683,    << 1146          8.4114,  8.0683,   7.9117, 7.7641, 7.4931,
962                            7.2506,  7.0327,       1147                            7.2506,  7.0327,   6.8362, 6.7452, 6.6584,
963                            6.4969,  6.3498,       1148                            6.4969,  6.3498,   6.2154, 6.0923, 6.0345, 5.9792};
964   const G4double TL[26] = {35.0669, 33.4344, 3 << 1149   const G4double tl[26] = {35.0669, 33.4344, 32.0073, 30.7466, 29.6226,
965                            28.6128, 28.1449, 2    1150                            28.6128, 28.1449, 27.6991, 26.8674, 26.1061,
966                            25.4058, 24.7587, 2    1151                            25.4058, 24.7587, 24.4531, 24.1583, 23.5992,
967                            23.0771, 22.5880, 2    1152                            23.0771, 22.5880, 22.1285, 21.9090, 21.6958,
968                            21.2872, 20.9006, 2    1153                            21.2872, 20.9006, 20.5341, 20.1859, 20.0183, 19.8546};
                                                   >> 1154   const G4double ul[26] = {0.1215, 0.5265, 0.8411, 1.0878, 1.2828,
                                                   >> 1155                            1.4379, 1.5032, 1.5617, 1.6608, 1.7401,
                                                   >> 1156                            1.8036, 1.8543, 1.8756, 1.8945, 1.9262,
                                                   >> 1157                            1.9508, 1.9696, 1.9836, 1.9890, 1.9935,
                                                   >> 1158                            2.0001, 2.0039, 2.0053, 2.0049, 2.0040, 2.0028};  
                                                   >> 1159   for(i=0; i<nL; ++i) {
                                                   >> 1160     TheL[i] = thel[i];
                                                   >> 1161     SL[i]   = sl[i];
                                                   >> 1162     TL[i]   = tl[i];
                                                   >> 1163     UL[i]   = ul[i];
                                                   >> 1164   }
                                                   >> 1165 
                                                   >> 1166   const G4double eta[29] = {0.005, 0.007, 0.01, 0.015, 0.02,
                                                   >> 1167                               0.03,  0.04,  0.05, 0.06,  0.08,
                                                   >> 1168                               0.1,   0.15,  0.2,  0.3,   0.4,
                                                   >> 1169                               0.5,   0.6,   0.7,  0.8,   1.0,
                                                   >> 1170                               1.2,   1.4,   1.5,  1.7,   2.0, 3.0, 5.0, 7.0, 10.};
969                                                   1171 
970   const G4double bk1[29][11] = {                  1172   const G4double bk1[29][11] = { 
971   {0.005, 1.34782E-8, 1.46132E-8, 1.72179E-8,     1173   {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,     1174   {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    1175   {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,     1176   {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    1177   {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    1178   {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    1179   {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    1180   {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    1181   {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    1182   {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.    1183   {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    1184   {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.    1185   {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.    1186   {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.    1187   {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.    1188   {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.    1189   {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.    1190   {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.    1191   {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.    1192   {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.    1193   {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.    1194   {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.    1195   {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.    1196   {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.    1197   {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.    1198   {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.    1199   {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.    1200   {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    1201   {10.0, 5.32590, 5.35848, 5.42560, 5.49547, 5.56830, 5.64429, 5.68353, 5.72366, 5.80666, 5.89359}
1000   };                                             1202   }; 
1001                                                  1203 
1002   const G4double bk2[29][11] = {                 1204   const G4double bk2[29][11] = { 
1003   {0.005, 5.98040E-8, 7.25636E-8, 8.00602E-8,    1205   {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,    1206   {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,     1207   {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,    1208   {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,     1209   {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,     1210   {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,     1211   {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,     1212   {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,     1213   {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,     1214   {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    1215   {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,     1216   {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    1217   {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    1218   {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    1219   {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    1220   {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    1221   {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    1222   {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    1223   {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    1224   {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    1225   {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    1226   {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    1227   {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    1228   {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    1229   {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    1230   {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    1231   {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    1232   {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,     1233   {10.0, 5.98474, 6.08046, 6.13015, 6.18112, 6.28715, 6.39903, 6.51728, 6.64249, 6.70792, 6.77535}
1032   };                                             1234   }; 
1033                                                  1235 
1034   const G4double bls1[28][10] = {                1236   const G4double bls1[28][10] = { 
1035   {0.005, 2.4111E-4, 2.5612E-4, 2.7202E-4, 3.    1237   {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.    1238   {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    1239   {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.    1240   {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    1241   {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    1242   {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    1243   {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    1244   {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    1245   {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    1246   {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    1247   {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    1248   {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    1249   {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    1250   {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    1251   {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    1252   {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    1253   {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    1254   {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    1255   {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    1256   {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    1257   {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    1258   {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    1259   {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    1260   {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    1261   {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    1262   {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    1263   {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    1264   {7.0, 6.8634, 6.9194, 6.9767, 7.0957, 7.2208, 7.3526, 7.4915, 7.5639, 7.6384}
1063   };                                             1265   };
1064                                                  1266  
                                                   >> 1267 
1065   const G4double bls2[28][10] = {                1268   const G4double bls2[28][10] = { 
1066   {0.005, 5.4561E-4, 6.0905E-4, 6.7863E-4, 7.    1269   {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.    1270   {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    1271   {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.    1272   {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    1273   {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    1274   {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    1275   {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    1276   {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    1277   {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    1278   {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    1279   {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    1280   {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    1281   {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    1282   {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    1283   {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    1284   {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    1285   {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    1286   {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    1287   {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    1288   {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    1289   {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    1290   {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    1291   {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    1292   {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    1293   {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    1294   {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    1295   {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    1296   {7.0, 7.7938, 7.9588, 8.1342, 8.3211, 8.4193, 8.5209, 8.7350, 8.9651, 9.2133}
1094   };                                             1297   }; 
1095                                                  1298  
1096   const G4double bls3[28][9] = {                 1299   const G4double bls3[28][9] = { 
1097   {0.005, 1.2895E-3, 1.3670E-3, 1.4524E-3, 1.    1300   {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.    1301   {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    1302   {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    1303   {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    1304   {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    1305   {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    1306   {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    1307   {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    1308   {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    1309   {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    1310   {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    1311   {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    1312   {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    1313   {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    1314   {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    1315   {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    1316   {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    1317   {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    1318   {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    1319   {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    1320   {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    1321   {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    1322   {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    1323   {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    1324   {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    1325   {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    1326   {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    1327   {7.0, 9.4819, 9.6248, 9.7739, 10.0926, 10.4423, 10.8282, 11.2565, 11.7356}
1125   };                                             1328   }; 
1126                                                  1329 
1127   const G4double bll1[28][10] = {                1330   const G4double bll1[28][10] = { 
1128   {0.005, 3.6324E-5, 4.0609E-5, 4.5430E-5, 5.    1331   {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.    1332   {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    1333   {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.    1334   {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    1335   {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    1336   {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    1337   {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    1338   {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    1339   {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    1340   {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    1341   {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    1342   {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    1343   {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    1344   {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    1345   {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    1346   {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    1347   {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    1348   {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    1349   {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    1350   {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    1351   {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    1352   {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    1353   {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    1354   {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    1355   {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    1356   {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    1357   {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    1358   {7.0, 7.7362, 7.8079, 7.8821, 8.0383, 8.2061, 8.3866, 8.5816, 8.6850, 8.7927}
1156   };                                             1359   }; 
1157                                                  1360 
1158   const G4double bll2[28][10] = {                1361   const G4double bll2[28][10] = { 
1159   {0.005, 1.8339E-4, 2.3330E-4, 2.9738E-4, 3.    1362   {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.    1363   {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    1364   {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.    1365   {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    1366   {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    1367   {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    1368   {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    1369   {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    1370   {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    1371   {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    1372   {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    1373   {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    1374   {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    1375   {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    1376   {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    1377   {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    1378   {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    1379   {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    1380   {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    1381   {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    1382   {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    1383   {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    1384   {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    1385   {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    1386   {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    1387   {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    1388   {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    1389   {7.0, 9.0221, 9.2724, 9.5464, 9.8477, 10.0099, 10.1805, 10.5499, 10.9622, 11.4250}
1187   };                                             1390   }; 
1188                                                  1391 
1189   const G4double bll3[28][9] = {                 1392   const G4double bll3[28][9] = { 
1190   {0.005, 1.3190E-3, 1.4961E-3, 1.6974E-3, 2.    1393   {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.    1394   {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    1395   {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.    1396   {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    1397   {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    1398   {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    1399   {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    1400   {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    1401   {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    1402   {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    1403   {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    1404   {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    1405   {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    1406   {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    1407   {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    1408   {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    1409   {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    1410   {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    1411   {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    1412   {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    1413   {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    1414   {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    1415   {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    1416   {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    1417   {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    1418   {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    1419   {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    1420   {7.0, 11.9480, 12.2357, 12.5432, 13.2260, 14.0164, 14.9404, 16.0330, 17.3420}
1218   };                                             1421   };
1219                                                  1422                              
1220   G4double b, bs;                                1423   G4double b, bs; 
1221   for(i=0; i<nEtaK; ++i) {                       1424   for(i=0; i<nEtaK; ++i) {
1222                                                  1425 
1223     G4double et = Eta[i];                     << 1426     G4double et = eta[i];
1224     G4double loget = G4Log(et);               << 1427     G4double loget = std::log(et);
                                                   >> 1428     Eta[i] = et;
                                                   >> 1429     //G4cout << "### eta["<<i<<"]="<<et<<"  KShell: tet= "<<TheK[0]<<" - "<<TheK[nK-1]<<G4endl;
1225                                                  1430 
1226     for(j=0; j<nK; ++j) {                        1431     for(j=0; j<nK; ++j) {
1227                                                  1432 
1228       if(j < 10) { b = bk2[i][10-j]; }           1433       if(j < 10) { b = bk2[i][10-j]; }
1229       else       { b = bk1[i][20-j]; }           1434       else       { b = bk1[i][20-j]; }
1230                                                  1435 
1231       CK[j][i] = SK[j]*loget + TK[j] - b;        1436       CK[j][i] = SK[j]*loget + TK[j] - b;
1232                                                  1437 
1233       if(i == nEtaK-1) {                         1438       if(i == nEtaK-1) { 
1234         ZK[j] = et*(et*et*CK[j][i] - et*UK[j] << 1439   ZK[j] = et*(et*et*CK[j][i] - et*UK[j] - VK[j]); 
1235         //G4cout << "i= " << i << " j= " << j << 1440   //G4cout << "i= " << i << " j= " << j 
1236         //       << " CK[j][i]= " <<  CK[j][i << 1441   //       << " CK[j][i]= " <<  CK[j][i]
1237         //       << " ZK[j]= " << ZK[j] << "  << 1442   //       << " ZK[j]= " << ZK[j] << "  b= " << b << G4endl;  
1238       }                                          1443       } 
1239     }                                            1444     }
1240     //G4cout << G4endl;                          1445     //G4cout << G4endl;
1241     if(i < nEtaL) {                              1446     if(i < nEtaL) {
1242       //G4cout << "  LShell:" <<G4endl;          1447       //G4cout << "  LShell:" <<G4endl;
1243       for(j=0; j<nL; ++j) {                      1448       for(j=0; j<nL; ++j) {
1244                                                  1449 
1245         if(j < 8) {                              1450         if(j < 8) {
1246           bs = bls3[i][8-j];                     1451           bs = bls3[i][8-j];
1247           b  = bll3[i][8-j];                     1452           b  = bll3[i][8-j];
1248         } else if(j < 17) {                      1453         } else if(j < 17) {
1249           bs = bls2[i][17-j];                    1454           bs = bls2[i][17-j];
1250           b  = bll2[i][17-j];                    1455           b  = bll2[i][17-j];
1251         } else {                                 1456         } else {
1252           bs = bls1[i][26-j];                    1457           bs = bls1[i][26-j];
1253           b  = bll1[i][26-j];                    1458           b  = bll1[i][26-j];
1254         }                                     << 1459   }
1255         G4double c = SL[j]*loget + TL[j];     << 1460   G4double c = SL[j]*loget + TL[j]; 
1256         CL[j][i] = c - bs - 3.0*b;               1461         CL[j][i] = c - bs - 3.0*b;
1257         if(i == nEtaL-1) {                       1462         if(i == nEtaL-1) { 
1258           VL[j] = et*(et*CL[j][i] - UL[j]);   << 1463     VL[j] = et*(et*CL[j][i] - UL[j]); 
1259           //G4cout << "i= " << i << " j= " << << 1464     //G4cout << "i= " << i << " j= " << j 
1260           //         << " CL[j][i]= " <<  CL[ << 1465     //   << " CL[j][i]= " <<  CL[j][i]
1261           //         << " VL[j]= " << VL[j] < << 1466     //   << " VL[j]= " << VL[j] << " b= " << b << " bs= " << bs 
1262           //         << " et= " << et << G4en << 1467     //   << " et= " << et << G4endl; 
1263           //" UL= " << UL[j] << " TL= " << TL << 1468     //" UL= " << UL[j] << " TL= " << TL[j] << " SL= " << SL[j] <<G4endl;  
1264         }                                     << 1469   }
1265       }                                          1470       }
1266       //G4cout << G4endl;                        1471       //G4cout << G4endl;
1267     }                                            1472     }
1268   }                                              1473   }
                                                   >> 1474   const G4double hm[53] = {
                                                   >> 1475     12.0, 12.0, 12.0, 12.0, 11.9, 11.7, 11.5, 11.2, 10.8, 10.4,
                                                   >> 1476     10.0,  9.51, 8.97, 8.52, 8.03, 7.46, 6.95, 6.53, 6.18, 5.87, 
                                                   >> 1477     5.61,  5.39, 5.19, 5.01, 4.86, 4.72, 4.62, 4.53, 4.44, 4.38, 
                                                   >> 1478     4.32,  4.26, 4.20, 4.15, 4.1,  4.04, 4.00, 3.95, 3.93, 3.91, 
                                                   >> 1479     3.90,  3.89, 3.89, 3.88, 3.88, 3.88, 3.88, 3.88, 3.89, 3.89, 
                                                   >> 1480     3.90, 3.92, 3.93 };
                                                   >> 1481   const G4double hn[31] = {
                                                   >> 1482     75.5, 61.9, 52.2, 45.1, 39.6, 35.4, 31.9, 29.1, 27.2, 25.8, 
                                                   >> 1483     24.5, 23.6, 22.7, 22.0, 21.4, 20.9, 20.5, 20.2, 19.9, 19.7, 
                                                   >> 1484     19.5, 19.3, 19.2, 19.1, 18.4, 18.8, 18.7, 18.6, 18.5, 18.4, 
                                                   >> 1485     18.2
                                                   >> 1486   };
                                                   >> 1487   for(i=0; i<53; ++i) {HM[i] = hm[i];}
                                                   >> 1488   for(i=0; i<31; ++i) {HN[i] = hn[i];}
1269                                                  1489 
1270   const G4double xzk[34] = { 11.7711,            1490   const G4double xzk[34] = { 11.7711,
1271     13.3669, 15.5762, 17.1715, 18.7667, 20.85    1491     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    1492     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    1493     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 << 1494            93.4549, 96.2753, 99.709};
1275   const G4double yzk[34] = { 0.70663,            1495   const G4double yzk[34] = { 0.70663,
1276     0.72033, 0.73651, 0.74647, 0.75518, 0.763    1496     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    1497     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    1498     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 << 1499            0.86891, 0.87011, 0.87381};
1280                                                  1500 
1281   const G4double xzl[36] = { 15.5102,            1501   const G4double xzl[36] = { 15.5102,
1282     16.7347, 17.9592, 19.551, 21.0204, 22.612    1502     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    1503     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    1504     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, << 1505            91.551, 94.2449, 96.449, 98.4082, 99.7551};
1286   const G4double yzl[36] = { 0.29875,            1506   const G4double yzl[36] = { 0.29875,
1287     0.31746, 0.33368, 0.35239, 0.36985, 0.387    1507     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    1508     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    1509     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 << 1510            0.6368, 0.64054, 0.64304, 0.64428, 0.64678};
                                                   >> 1511 
                                                   >> 1512   ThetaK = new G4LPhysicsFreeVector(34, xzk[0], xzk[33]);
                                                   >> 1513   ThetaL = new G4LPhysicsFreeVector(36, xzl[0], xzl[35]);
                                                   >> 1514   for(i=0; i<34; ++i) { ThetaK->PutValues(i, xzk[i], yzk[i]); }
                                                   >> 1515   for(i=0; i<36; ++i) { ThetaL->PutValues(i, xzl[i], yzl[i]); }
                                                   >> 1516   ThetaK->SetSpline(true);
                                                   >> 1517   ThetaL->SetSpline(true);
                                                   >> 1518 
                                                   >> 1519   const G4double coseb[14] = {0.0,0.05,0.1,0.15,0.2,0.3,0.4,0.5,0.6,0.8,
                                                   >> 1520                               1.0,1.2,1.5,2.0};
                                                   >> 1521   const G4double cosxi[14] = {1.0000, 0.9905, 0.9631, 0.9208, 0.8680,
                                                   >> 1522                               0.7478, 0.6303, 0.5290, 0.4471, 0.3323,
                                                   >> 1523                               0.2610, 0.2145, 0.1696, 0.1261};
                                                   >> 1524   for(i=0; i<14; ++i) {
                                                   >> 1525     COSEB[i] = coseb[i];
                                                   >> 1526     COSXI[i] = cosxi[i];
                                                   >> 1527   }
1291                                                  1528 
1292   sThetaK = new G4PhysicsFreeVector(34, false << 1529   for(i=1; i<100; ++i) {
1293   for(i=0; i<34; ++i) { sThetaK->PutValues(i, << 1530     Z23[i] = std::pow(G4double(i),0.23);
1294   sThetaL = new G4PhysicsFreeVector(36, false << 1531   }
1295   for(i=0; i<36; ++i) { sThetaL->PutValues(i, << 
1296 }                                                1532 }
1297                                                  1533 
1298 //....oooOO0OOooo........oooOO0OOooo........o    1534 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
1299                                                  1535 
1300                                                  1536