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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 9.2.p3)


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 25 //                                             <<  25 //
 26 //                                             <<  26 // $Id: G4EmCorrections.cc,v 1.51.2.1 2010/01/26 14:33:54 gcosmo Exp $
 27 // ------------------------------------------- <<  27 // GEANT4 tag $Name: geant4-09-02-patch-03 $
 28 //                                             <<  28 //
 29 // GEANT4 Class                                <<  29 // -------------------------------------------------------------------
 30 //                                             <<  30 //
 31 // File name:     G4EmCorrections              <<  31 // GEANT4 Class 
 32 //                                             <<  32 //
 33 // Author:        Vladimir Ivanchenko          <<  33 // File name:     G4EmCorrections
 34 //                                             <<  34 //
 35 // Creation date: 13.01.2005                   <<  35 // Author:        Vladimir Ivanchenko
 36 //                                             <<  36 //
 37 // Modifications:                              <<  37 // Creation date: 13.01.2005
 38 // 05.05.2005 V.Ivanchenko Fix misprint in Mot <<  38 //
 39 // 26.11.2005 V.Ivanchenko Fix effective charg <<  39 // Modifications:
 40 // 28.04.2006 V.Ivanchenko General cleanup, ad <<  40 // 05.05.2005 V.Ivanchenko Fix misprint in Mott term
 41 // 13.05.2006 V.Ivanchenko Add corrections for <<  41 // 26.11.2005 V.Ivanchenko Fix effective charge for heavy ions using original paper
 42 // 08.05.2007 V.Ivanchenko Use G4IonTable for  <<  42 // 28.04.2006 V.Ivanchenko General cleanup, add finite size corrections
 43 //                         division by zero    <<  43 // 13.05.2006 V.Ivanchenko Add corrections for ion stopping
 44 // 29.02.2008 V.Ivanchenko use expantions for  <<  44 // 08.05.2007 V.Ivanchenko Use G4IonTable for ion mass instead of NistTable to avoid
 45 // 21.04.2008 Updated computations for ions (V <<  45 //                         division by zero
 46 // 20.05.2008 Removed Finite Size correction ( <<  46 // 29.02.2008 V.Ivanchenko use expantions for log and power function
 47 // 19.04.2012 Fix reproducibility problem (A.R <<  47 // 21.04.2008 Updated computations for ions (V.Ivanchenko)
 48 //                                             <<  48 // 20.05.2008 Removed Finite Size correction (V.Ivanchenko)
 49 //                                             <<  49 //
 50 // Class Description:                          <<  50 //
 51 //                                             <<  51 // Class Description:
 52 // This class provides calculation of EM corre <<  52 //
 53 //                                             <<  53 // This class provides calculation of EM corrections to ionisation
 54                                                <<  54 //
 55 // ------------------------------------------- <<  55 
 56 //                                             <<  56 // -------------------------------------------------------------------
 57                                                <<  57 //
 58 #include "G4EmCorrections.hh"                  <<  58 
 59 #include "G4PhysicalConstants.hh"              <<  59 #include "G4EmCorrections.hh"
 60 #include "G4SystemOfUnits.hh"                  <<  60 #include "Randomize.hh"
 61 #include "G4ParticleTable.hh"                  <<  61 #include "G4ParticleTable.hh"
 62 #include "G4IonTable.hh"                       <<  62 #include "G4IonTable.hh"
 63 #include "G4VEmModel.hh"                       <<  63 #include "G4VEmModel.hh"
 64 #include "G4Proton.hh"                         <<  64 #include "G4Proton.hh"
 65 #include "G4GenericIon.hh"                     <<  65 #include "G4GenericIon.hh"
 66 #include "G4PhysicsLogVector.hh"               <<  66 #include "G4LPhysicsFreeVector.hh"
 67 #include "G4ProductionCutsTable.hh"            <<  67 #include "G4PhysicsLogVector.hh"
 68 #include "G4MaterialCutsCouple.hh"             <<  68 #include "G4ProductionCutsTable.hh"
 69 #include "G4AtomicShells.hh"                   <<  69 #include "G4MaterialCutsCouple.hh"
 70 #include "G4Log.hh"                            <<  70 
 71 #include "G4Exp.hh"                            <<  71 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 72 #include "G4Pow.hh"                            <<  72 
 73                                                <<  73 G4EmCorrections::G4EmCorrections()
 74 //....oooOO0OOooo........oooOO0OOooo........oo <<  74 {
 75                                                <<  75   particle   = 0;
 76 namespace                                      <<  76   curParticle= 0;
 77 {                                              <<  77   material   = 0;
 78   constexpr G4double inveplus = 1.0/CLHEP::epl <<  78   curMaterial= 0;
 79   constexpr G4double alpha2 = CLHEP::fine_stru <<  79   curVector  = 0;
 80 }                                              <<  80   kinEnergy  = 0.0;
 81 const G4double G4EmCorrections::ZD[11] =       <<  81   ionLEModel = 0;
 82     {0., 0., 0., 1.72, 2.09, 2.48, 2.82, 3.16, <<  82   ionHEModel = 0;
 83 const G4double G4EmCorrections::UK[20] = {1.99 <<  83   nIons      = 0;
 84                            2.0817, 2.0945, 2.0 <<  84   verbose    = 1;
 85                            2.1197, 2.1246, 2.1 <<  85   ncouples   = 0;
 86                            2.1310, 2.1310, 2.1 <<  86   massFactor = 1.0;
 87 const G4double G4EmCorrections::VK[20] = {8.34 <<  87   eth        = 2.0*MeV;
 88                            8.3219, 8.3201, 8.3 <<  88   nbinCorr   = 20;
 89                            8.3191, 8.3199, 8.3 <<  89   eCorrMin   = 25.*keV;
 90                            8.3244, 8.3264, 8.3 <<  90   eCorrMax   = 250.*MeV;
 91 G4double G4EmCorrections::ZK[] = {0.0};        <<  91   nist = G4NistManager::Instance();
 92 const G4double G4EmCorrections::Eta[29] = {0.0 <<  92   ionTable = G4ParticleTable::GetParticleTable()->GetIonTable();
 93                             0.03,  0.04,  0.05 <<  93   Initialise();
 94                             0.1,   0.15,  0.2, <<  94 }
 95                             0.5,   0.6,   0.7, <<  95 
 96                             1.2,   1.4,   1.5, <<  96 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 97 G4double G4EmCorrections::CK[20][29];          <<  97 
 98 G4double G4EmCorrections::CL[26][28];          <<  98 G4EmCorrections::~G4EmCorrections()
 99 const G4double G4EmCorrections::UL[] = {0.1215 <<  99 {
100                            1.4379, 1.5032, 1.5 << 100   for(G4int i=0; i<nIons; i++) {delete stopData[i];}
101                            1.8036, 1.8543, 1.8 << 101 }
102                            1.9508, 1.9696, 1.9 << 102 
103                            2.0001, 2.0039, 2.0 << 103 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
104 G4double G4EmCorrections::VL[] = {0.0};        << 104 
105 G4double G4EmCorrections::sWmaxBarkas = 10.0;  << 105 G4double G4EmCorrections::HighOrderCorrections(const G4ParticleDefinition* p,
106                                                << 106                                                const G4Material* mat,
107 G4PhysicsFreeVector* G4EmCorrections::sBarkasC << 107                  G4double e, G4double)
108 G4PhysicsFreeVector* G4EmCorrections::sThetaK  << 108 {
109 G4PhysicsFreeVector* G4EmCorrections::sThetaL  << 109 // . Z^3 Barkas effect in the stopping power of matter for charged particles
110                                                << 110 //   J.C Ashley and R.H.Ritchie
111 G4EmCorrections::G4EmCorrections(G4int verb)   << 111 //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
112   : verbose(verb)                              << 112 //   and ICRU49 report
113 {                                              << 113 //   valid for kineticEnergy < 0.5 MeV
114   eth = 2.0*CLHEP::MeV;                        << 114 //   Other corrections from S.P.Ahlen Rev. Mod. Phys., Vol 52, No1, 1980
115   eCorrMin = 25.*CLHEP::keV;                   << 115 
116   eCorrMax = 1.*CLHEP::GeV;                    << 116   SetupKinematics(p, mat, e);
117                                                << 117   if(tau <= 0.0) return 0.0;
118   ionTable = G4ParticleTable::GetParticleTable << 118 
119   g4calc = G4Pow::GetInstance();               << 119   G4double Barkas = BarkasCorrection (p, mat, e);
120                                                << 120   G4double Bloch  = BlochCorrection (p, mat, e);
121   // fill vectors                              << 121   G4double Mott   = MottCorrection (p, mat, e);
122   if (nullptr == sBarkasCorr) {                << 122 
123     Initialise();                              << 123   G4double sum = (2.0*(Barkas + Bloch) + Mott);
124     isInitializer = true;                      << 124 
125   }                                            << 125   if(verbose > 1)
126 }                                              << 126     G4cout << "EmCorrections: E(MeV)= " << e/MeV << " Barkas= " << Barkas
127                                                << 127      << " Bloch= " << Bloch << " Mott= " << Mott 
128 //....oooOO0OOooo........oooOO0OOooo........oo << 128      << " Sum= " << sum << G4endl; 
129                                                << 129 
130 G4EmCorrections::~G4EmCorrections()            << 130   sum *= material->GetElectronDensity() * q2 *  twopi_mc2_rcl2 /beta2;
131 {                                              << 131   return sum;
132   for (G4int i=0; i<nIons; ++i) { delete stopD << 132 }
133   if (isInitializer) {                         << 133 
134     delete sBarkasCorr;                        << 134 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
135     delete sThetaK;                            << 135 
136     delete sThetaL;                            << 136 G4double G4EmCorrections::IonBarkasCorrection(const G4ParticleDefinition* p,
137     sBarkasCorr = sThetaK = sThetaL = nullptr; << 137                 const G4Material* mat,
138   }                                            << 138                 G4double e)
139 }                                              << 139 {
140                                                << 140 // . Z^3 Barkas effect in the stopping power of matter for charged particles
141 void G4EmCorrections::SetupKinematics(const G4 << 141 //   J.C Ashley and R.H.Ritchie
142               const G4Material* mat,           << 142 //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
143               const G4double kineticEnergy)    << 143 //   and ICRU49 report
144 {                                              << 144 //   valid for kineticEnergy < 0.5 MeV
145   if(kineticEnergy != kinEnergy || p != partic << 145 
146     particle = p;                              << 146   SetupKinematics(p, mat, e);
147     kinEnergy = kineticEnergy;                 << 147   G4double res = 0.0;
148     mass  = p->GetPDGMass();                   << 148   if(tau > 0.0) 
149     tau   = kineticEnergy / mass;              << 149     res = 2.0*BarkasCorrection(p, mat, e)*
150     gamma = 1.0 + tau;                         << 150       material->GetElectronDensity() * q2 *  twopi_mc2_rcl2 /beta2;
151     bg2   = tau * (tau+2.0);                   << 151   return res;
152     beta2 = bg2/(gamma*gamma);                 << 152 }
153     beta  = std::sqrt(beta2);                  << 153 
154     ba2   = beta2/alpha2;                      << 154 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
155     const G4double ratio = CLHEP::electron_mas << 155 
156     tmax  = 2.0*CLHEP::electron_mass_c2*bg2    << 156 G4double G4EmCorrections::ComputeIonCorrections(const G4ParticleDefinition* p,
157       /(1. + 2.0*gamma*ratio + ratio*ratio);   << 157             const G4Material* mat,
158     charge  = p->GetPDGCharge()*inveplus;      << 158             G4double e)
159     if(charge > 1.5) { charge = effCharge.Effe << 159 {
160     q2 = charge*charge;                        << 160 // . Z^3 Barkas effect in the stopping power of matter for charged particles
161   }                                            << 161 //   J.C Ashley and R.H.Ritchie
162   if(mat != material) {                        << 162 //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
163     material = mat;                            << 163 //   and ICRU49 report
164     theElementVector = material->GetElementVec << 164 //   valid for kineticEnergy < 0.5 MeV
165     atomDensity  = material->GetAtomicNumDensi << 165 //   Other corrections from S.P.Ahlen Rev. Mod. Phys., Vol 52, No1, 1980
166     numberOfElements = (G4int)material->GetNum << 166   SetupKinematics(p, mat, e);
167   }                                            << 167   if(tau <= 0.0) return 0.0;
168 }                                              << 168 
169                                                << 169   G4double Barkas = BarkasCorrection (p, mat, e);
170 //....oooOO0OOooo........oooOO0OOooo........oo << 170   G4double Bloch  = BlochCorrection (p, mat, e);
171                                                << 171   G4double Mott   = MottCorrection (p, mat, e);
172 G4double G4EmCorrections::HighOrderCorrections << 172 
173                                                << 173   G4double sum = 2.0*(Barkas*(charge - 1.0)/charge + Bloch) + Mott;
174                                                << 174 
175 {                                              << 175   if(verbose > 1) {
176   // . Z^3 Barkas effect in the stopping power << 176     G4cout << "EmCorrections: E(MeV)= " << e/MeV << " Barkas= " << Barkas
177   //   J.C Ashley and R.H.Ritchie              << 177      << " Bloch= " << Bloch << " Mott= " << Mott 
178   //   Physical review B Vol.5 No.7 1 April 19 << 178      << " Sum= " << sum << G4endl; 
179   //   and ICRU49 report                       << 179   }
180   //   valid for kineticEnergy < 0.5 MeV       << 180   sum *= material->GetElectronDensity() * q2 *  twopi_mc2_rcl2 /beta2;
181   //   Other corrections from S.P.Ahlen Rev. M << 181 
182                                                << 182   if(verbose > 1) G4cout << " Sum= " << sum << G4endl; 
183   SetupKinematics(p, mat, e);                  << 183   return sum;
184   if(tau <= 0.0) { return 0.0; }               << 184 }
185                                                << 185 
186   const G4double Barkas = BarkasCorrection(p,  << 186 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
187   const G4double Bloch  = BlochCorrection(p, m << 187 
188   const G4double Mott = MottCorrection(p, mat, << 188 G4double G4EmCorrections::IonHighOrderCorrections(const G4ParticleDefinition* p,
189                                                << 189               const G4MaterialCutsCouple* couple,
190   G4double sum = 2.0*(Barkas + Bloch) + Mott;  << 190               G4double e)
191                                                << 191 {
192   if(verbose > 1) {                            << 192 // . Z^3 Barkas effect in the stopping power of matter for charged particles
193     G4cout << "EmCorrections: E(MeV)= " << e/M << 193 //   J.C Ashley and R.H.Ritchie
194            << " Bloch= " << Bloch << " Mott= " << 194 //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
195            << " Sum= " << sum << " q2= " << q2 << 195 //   and ICRU49 report
196     G4cout << " ShellCorrection: " << ShellCor << 196 //   valid for kineticEnergy < 0.5 MeV
197            << " Kshell= " << KShellCorrection( << 197 //   Other corrections from S.P.Ahlen Rev. Mod. Phys., Vol 52, No1, 1980
198            << " Lshell= " << LShellCorrection( << 198 
199            << "   " << mat->GetName() << G4end << 199   G4double sum = 0.0;
200   }                                            << 200 
201   sum *= material->GetElectronDensity()*q2*CLH << 201   if(ionHEModel) {
202   return sum;                                  << 202     G4int Z = G4int(p->GetPDGCharge()/eplus + 0.5);
203 }                                              << 203     if(Z >= 100)   Z = 99;
204                                                << 204     else if(Z < 1) Z = 1;
205 //....oooOO0OOooo........oooOO0OOooo........oo << 205 
206                                                << 206     // fill vector
207 G4double G4EmCorrections::IonBarkasCorrection( << 207     if(thcorr[Z].size() == 0) {
208                                                << 208       thcorr[Z].resize(ncouples);
209                                                << 209       G4double ethscaled = eth*p->GetPDGMass()/proton_mass_c2;
210 {                                              << 210 
211   SetupKinematics(p, mat, e);                  << 211       for(size_t i=0; i<ncouples; i++) {
212   return 2.0*BarkasCorrection(p, mat, e, true) << 212   (thcorr[Z])[i] = ethscaled*ComputeIonCorrections(p, currmat[i], ethscaled);
213     material->GetElectronDensity() * q2 * CLHE << 213   //G4cout << i << ". ethscaled= " << ethscaled 
214 }                                              << 214   //<< " corr= " << (thcorr[Z])[i]/ethscaled << G4endl;
215                                                << 215       } 
216 //....oooOO0OOooo........oooOO0OOooo........oo << 216     } 
217                                                << 217     G4double rest = (thcorr[Z])[couple->GetIndex()];
218 G4double G4EmCorrections::ComputeIonCorrection << 218 
219                                                << 219     sum = ComputeIonCorrections(p,couple->GetMaterial(),e) - rest/e;
220                                                << 220 
221 {                                              << 221     if(verbose > 1) G4cout << " Sum= " << sum << " dSum= " << rest/e << G4endl; 
222   // . Z^3 Barkas effect in the stopping power << 222   }
223   //   J.C Ashley and R.H.Ritchie              << 223   return sum;
224   //   Physical review B Vol.5 No.7 1 April 19 << 224 }
225   //   and ICRU49 report                       << 225 
226   //   valid for kineticEnergy < 0.5 MeV       << 226 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
227   //   Other corrections from S.P.Ahlen Rev. M << 227 
228   SetupKinematics(p, mat, e);                  << 228 G4double G4EmCorrections::Bethe(const G4ParticleDefinition* p,
229   if(tau <= 0.0) { return 0.0; }               << 229         const G4Material* mat, 
230                                                << 230         G4double e)
231   const G4double Barkas = BarkasCorrection (p, << 231 {
232   const G4double Bloch  = BlochCorrection (p,  << 232   SetupKinematics(p, mat, e);
233   const G4double Mott = MottCorrection (p, mat << 233   G4double eexc  = material->GetIonisation()->GetMeanExcitationEnergy();
234                                                << 234   G4double eexc2 = eexc*eexc;
235   G4double sum = 2.0*(Barkas*(charge - 1.0)/ch << 235   G4double dedx = 0.5*std::log(2.0*electron_mass_c2*bg2*tmax/eexc2)-beta2;
236                                                << 236   return dedx;
237   if(verbose > 1) {                            << 237 }
238     G4cout << "EmCorrections: E(MeV)= " << e/M << 238 
239            << " Bloch= " << Bloch << " Mott= " << 239 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
240            << " Sum= " << sum << G4endl;       << 240 
241   }                                            << 241 G4double G4EmCorrections::SpinCorrection(const G4ParticleDefinition* p,
242   sum *= material->GetElectronDensity() * q2 * << 242            const G4Material* mat,
243                                                << 243            G4double e)
244   if(verbose > 1) { G4cout << " Sum= " << sum  << 244 {
245   return sum;                                  << 245   SetupKinematics(p, mat, e);
246 }                                              << 246   G4double dedx  = 0.5*tmax/(kinEnergy + mass);
247                                                << 247   return 0.5*dedx*dedx;
248 //....oooOO0OOooo........oooOO0OOooo........oo << 248 }
249                                                << 249 
250 G4double G4EmCorrections::IonHighOrderCorrecti << 250 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
251                                                << 251 
252                                                << 252 G4double G4EmCorrections:: KShellCorrection(const G4ParticleDefinition* p,
253 {                                              << 253               const G4Material* mat, 
254   // . Z^3 Barkas effect in the stopping power << 254               G4double e)
255   //   J.C Ashley and R.H.Ritchie              << 255 {
256   //   Physical review B Vol.5 No.7 1 April 19 << 256   SetupKinematics(p, mat, e);
257   //   and ICRU49 report                       << 257   G4double term = 0.0;
258   //   valid for kineticEnergy < 0.5 MeV       << 258   for (G4int i = 0; i<numberOfElements; i++) {
259   //   Other corrections from S.P.Ahlen Rev. M << 259 
260                                                << 260     G4double Z = (*theElementVector)[i]->GetZ();
261   G4double sum = 0.0;                          << 261     G4int   iz = G4int(Z);
262                                                << 262     G4double f = 1.0;
263   if (nullptr != ionHEModel) {                 << 263     G4double Z2= (Z-0.3)*(Z-0.3);
264     G4int Z = G4lrint(p->GetPDGCharge()*invepl << 264     if(1 == iz) {
265     Z = std::max(std::min(Z, 99), 1);          << 265       f  = 0.5;
266                                                << 266       Z2 = 1.0;
267     const G4double ethscaled = eth*p->GetPDGMa << 267     }
268     const G4int ionPDG = p->GetPDGEncoding();  << 268     G4double e0= 13.6*eV*Z2;
269     auto iter = thcorr.find(ionPDG);           << 269     term += f*atomDensity[i]*KShell(shells.GetBindingEnergy(iz,0)/e0,ba2/Z2)/Z;
270     if (iter == thcorr.end()) {  // Not found: << 270   }
271       std::vector<G4double> v;                 << 271 
272       for(std::size_t i=0; i<ncouples; ++i){   << 272   term /= material->GetTotNbOfAtomsPerVolume();
273         v.push_back(ethscaled*ComputeIonCorrec << 273 
274       }                                        << 274   return term;
275       thcorr.insert(std::pair< G4int, std::vec << 275 }
276     }                                          << 276 
277     G4double rest = 0.0;                       << 277 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
278     iter = thcorr.find(ionPDG);                << 278 
279     if (iter != thcorr.end()) { rest = (iter-> << 279 G4double G4EmCorrections:: LShellCorrection(const G4ParticleDefinition* p,
280                                                << 280               const G4Material* mat, 
281     sum = ComputeIonCorrections(p,couple->GetM << 281               G4double e)
282                                                << 282 {
283     if(verbose > 1) {                          << 283   SetupKinematics(p, mat, e);
284       G4cout << " Sum= " << sum << " dSum= " < << 284   G4double term = 0.0;
285     }                                          << 285   for (G4int i = 0; i<numberOfElements; i++) {
286   }                                            << 286 
287   return sum;                                  << 287     G4double Z = (*theElementVector)[i]->GetZ();
288 }                                              << 288     G4int   iz = G4int(Z);
289                                                << 289     if(2 < iz) {
290 //....oooOO0OOooo........oooOO0OOooo........oo << 290       G4double Zeff = Z - ZD[10];
291                                                << 291       if(iz < 10) Zeff = Z - ZD[iz];
292 G4double G4EmCorrections::Bethe(const G4Partic << 292       G4double Z2= Zeff*Zeff;
293                                 const G4Materi << 293       G4double e0= 13.6*eV*Z2*0.25;
294                                 const G4double << 294       G4double f = 0.125;
295 {                                              << 295       G4int nmax = std::min(4,shells.GetNumberOfShells(iz));
296   SetupKinematics(p, mat, e);                  << 296       for(G4int j=1; j<nmax; j++) {
297   const G4double eexc  = material->GetIonisati << 297         G4double ne = G4double(shells.GetNumberOfElectrons(iz,j));
298   const G4double eexc2 = eexc*eexc;            << 298         G4double e1 = shells.GetBindingEnergy(iz,j);
299   return 0.5*G4Log(2.0*electron_mass_c2*bg2*tm << 299   //   G4cout << "LShell: j= " << j << " ne= " << ne << " e(eV)= " << e/eV
300 }                                              << 300   //  << " e0(eV)= " << e0/eV << G4endl;
301                                                << 301         term += f*ne*atomDensity[i]*LShell(e1/e0,ba2/Z2)/Z;
302 //....oooOO0OOooo........oooOO0OOooo........oo << 302       }
303                                                << 303     }
304 G4double G4EmCorrections::SpinCorrection(const << 304   }
305                                          const << 305 
306                                          const << 306   term /= material->GetTotNbOfAtomsPerVolume();
307 {                                              << 307 
308   SetupKinematics(p, mat, e);                  << 308   return term;
309   const G4double dedx  = 0.5*tmax/(kinEnergy + << 309 }
310   return 0.5*dedx*dedx;                        << 310 
311 }                                              << 311 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
312                                                << 312 
313 //....oooOO0OOooo........oooOO0OOooo........oo << 313 G4double G4EmCorrections::KShell(G4double tet, G4double eta)
314                                                << 314 {
315 G4double G4EmCorrections:: KShellCorrection(co << 315   G4double corr = 0.0;
316                                             co << 316 
317                                             co << 317   G4double x = tet;
318 {                                              << 318   if(tet < TheK[0]) x =  TheK[0]; 
319   SetupKinematics(p, mat, e);                  << 319   G4int itet = Index(x, TheK, nK);
320   G4double term = 0.0;                         << 320 
321   for (G4int i = 0; i<numberOfElements; ++i) { << 321   // assimptotic case
322                                                << 322   if(eta >= Eta[nEtaK-1]) {
323     G4double Z = (*theElementVector)[i]->GetZ( << 323     corr = (Value(x, TheK[itet], TheK[itet+1], UK[itet], UK[itet+1]) + 
324     G4int   iz = (*theElementVector)[i]->GetZa << 324             Value(x, TheK[itet], TheK[itet+1], VK[itet], VK[itet+1])/eta +
325     G4double f = 1.0;                          << 325             Value(x, TheK[itet], TheK[itet+1], ZK[itet], ZK[itet+1])/(eta*eta))/eta;
326     G4double Z2= (Z-0.3)*(Z-0.3);              << 326   } else {
327     if(1 == iz) {                              << 327     G4double y = eta;
328       f  = 0.5;                                << 328     if(eta < Eta[0])  y =  Eta[0];
329       Z2 = 1.0;                                << 329     G4int ieta = Index(y, Eta, nEtaK);
330     }                                          << 330     corr = Value2(x, y, TheK[itet], TheK[itet+1], Eta[ieta], Eta[ieta+1],
331     const G4double eta = ba2/Z2;               << 331                   CK[itet][ieta], CK[itet+1][ieta], 
332     const G4double tet = (11 < iz) ? sThetaK-> << 332       CK[itet][ieta+1], CK[itet+1][ieta+1]);
333     term += f*atomDensity[i]*KShell(tet,eta)/Z << 333     //G4cout << "   x= " <<x<<" y= "<<y<<" tet= " <<TheK[itet]
334   }                                            << 334     //<<" "<< TheK[itet+1]<<" eta= "<< Eta[ieta]<<" "<< Eta[ieta+1]
335                                                << 335     //       <<" CK= " << CK[itet][ieta]<<" "<< CK[itet+1][ieta]
336   term /= material->GetTotNbOfAtomsPerVolume() << 336     //<<" "<< CK[itet][ieta+1]<<" "<< CK[itet+1][ieta+1]<<G4endl;
337                                                << 337   }
338   return term;                                 << 338   //G4cout << "Kshell:  tet= " << tet << " eta= " << eta << "  C= " << corr
339 }                                              << 339   //<< " itet,ieta= " << itet <<G4endl;
340                                                << 340   return corr;
341 //....oooOO0OOooo........oooOO0OOooo........oo << 341 }
342                                                << 342 
343 G4double G4EmCorrections:: LShellCorrection(co << 343 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
344                                             co << 344 
345                                             co << 345 G4double G4EmCorrections::LShell(G4double tet, G4double eta)
346 {                                              << 346 {
347   SetupKinematics(p, mat, e);                  << 347   G4double corr = 0.0;
348   G4double term = 0.0;                         << 348 
349   for (G4int i = 0; i<numberOfElements; ++i) { << 349   G4double x = tet;
350                                                << 350   if(tet < TheL[0]) x =  TheL[0];
351     const G4double Z = (*theElementVector)[i]- << 351   G4int itet = Index(x, TheL, nL);
352     const G4int iz = (*theElementVector)[i]->G << 352 
353     if(2 < iz) {                               << 353   // assimptotic case
354       const G4double Zeff = (iz < 10) ? Z - ZD << 354   if(eta >= Eta[nEtaL-1]) {
355       const G4double Z2= Zeff*Zeff;            << 355     corr = (Value(x, TheL[itet], TheL[itet+1], UL[itet], UL[itet+1])
356       const G4double eta = ba2/Z2;             << 356     + Value(x, TheL[itet], TheL[itet+1], VL[itet], VL[itet+1])/eta
357       G4double tet = sThetaL->Value(Z);        << 357            )/eta;
358       G4int nmax = std::min(4, G4AtomicShells: << 358   } else {
359       for (G4int j=1; j<nmax; ++j) {           << 359     G4double y = eta;
360         G4int ne = G4AtomicShells::GetNumberOf << 360     if(eta < Eta[0])  y =  Eta[0];
361         if (15 >= iz) {                        << 361     G4int ieta = Index(y, Eta, nEtaL);
362           tet = (3 > j) ? 0.25*Z2*(1.0 + 5*Z2* << 362     corr = Value2(x, y, TheL[itet], TheL[itet+1], Eta[ieta], Eta[ieta+1],
363             0.25*Z2*(1.0 + Z2*alpha2/16.);     << 363                CL[itet][ieta], CL[itet+1][ieta], CL[itet][ieta+1], CL[itet+1][ieta+1]);
364         }                                      << 364     //G4cout << "   x= " <<x<<" y= "<<y<<" tet= " <<TheL[itet]
365         //G4cout << " LShell: j= " << j << " n << 365     //<<" "<< TheL[itet+1]<<" eta= "<< Eta[ieta]<<" "<< Eta[ieta+1]
366         //       << " ThetaL= " << tet << G4en << 366     //       <<" CL= " << CL[itet][ieta]<<" "<< CL[itet+1][ieta]
367         term += 0.125*ne*atomDensity[i]*LShell << 367     //<<" "<< CL[itet][ieta+1]<<" "<< CL[itet+1][ieta+1]<<G4endl;
368       }                                        << 368   }
369     }                                          << 369   //  G4cout << "Lshell:  tet= " << tet << " eta= " << eta << "  C= " << corr << " itet= " << itet <<G4endl;
370   }                                            << 370   return corr;
371                                                << 371 }
372   term /= material->GetTotNbOfAtomsPerVolume() << 372 
373                                                << 373 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
374   return term;                                 << 374 
375 }                                              << 375 G4double G4EmCorrections::ShellCorrectionSTD(const G4ParticleDefinition* p,
376                                                << 376                const G4Material* mat, 
377 //....oooOO0OOooo........oooOO0OOooo........oo << 377                G4double e)
378                                                << 378 {
379 G4double G4EmCorrections::KShell(const G4doubl << 379   SetupKinematics(p, mat, e);
380 {                                              << 380   G4double taulim= 8.0*MeV/mass;
381   G4double corr = 0.0;                         << 381   G4double bg2lim= taulim * (taulim+2.0);
382                                                << 382 
383   static const G4double TheK[20] =             << 383   G4double* shellCorrectionVector =
384     {0.64, 0.65, 0.66, 0.68, 0.70, 0.72, 0.74, << 384             material->GetIonisation()->GetShellCorrectionVector();
385      0.80, 0.82, 0.84, 0.85, 0.86, 0.88, 0.90, << 385   G4double sh = 0.0;
386                                                << 386   G4double x  = 1.0;
387                                                << 387   G4double taul  = material->GetIonisation()->GetTaul();
388   G4double x = tet;                            << 388 
389   G4int itet = 0;                              << 389   if ( bg2 >= bg2lim ) {
390   G4int ieta = 0;                              << 390     for (G4int k=0; k<3; k++) {
391   if(tet < TheK[0]) {                          << 391         x *= bg2 ;
392     x =  TheK[0];                              << 392         sh += shellCorrectionVector[k]/x;
393   } else if(tet > TheK[nK-1]) {                << 393     }
394     x =  TheK[nK-1];                           << 394 
395     itet = nK-2;                               << 395   } else {
396   } else {                                     << 396     for (G4int k=0; k<3; k++) {
397     itet = Index(x, TheK, nK);                 << 397         x *= bg2lim ;
398   }                                            << 398         sh += shellCorrectionVector[k]/x;
399   // asymptotic case                           << 399     }
400   if(eta >= Eta[nEtaK-1]) {                    << 400     sh *= std::log(tau/taul)/std::log(taulim/taul);
401     corr =                                     << 401   }
402       (Value(x, TheK[itet], TheK[itet+1], UK[i << 402   sh *= 0.5;
403        Value(x, TheK[itet], TheK[itet+1], VK[i << 403   return sh;
404        Value(x, TheK[itet], TheK[itet+1], ZK[i << 404 }
405   } else {                                     << 405 
406     G4double y = eta;                          << 406 
407     if(eta < Eta[0]) {                         << 407 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
408       y = Eta[0];                              << 408 
409     } else {                                   << 409 G4double G4EmCorrections::ShellCorrection(const G4ParticleDefinition* p,
410       ieta = Index(y, Eta, nEtaK);             << 410             const G4Material* mat,
411     }                                          << 411             G4double e)
412     corr = Value2(x, y, TheK[itet], TheK[itet+ << 412 {
413                   CK[itet][ieta], CK[itet+1][i << 413   SetupKinematics(p, mat, e);
414                   CK[itet][ieta+1], CK[itet+1] << 414 
415     //G4cout << "   x= " <<x<<" y= "<<y<<" tet << 415   G4double term = 0.0;
416     //           <<" "<< TheK[itet+1]<<" eta=  << 416 
417     //           <<" CK= " << CK[itet][ieta]<< << 417   for (G4int i = 0; i<numberOfElements; i++) {
418     //           <<" "<< CK[itet][ieta+1]<<" " << 418 
419   }                                            << 419     G4double Z = (*theElementVector)[i]->GetZ();
420   //G4cout << "Kshell:  tet= " << tet << " eta << 420     G4int   iz = G4int(Z);
421   //         << " itet= " << itet << "  ieta=  << 421     G4double Z2= (Z-0.3)*(Z-0.3);
422   return corr;                                 << 422     G4double f = 1.0;
423 }                                              << 423     if(1 == iz) {
424                                                << 424       f  = 0.5;
425 //....oooOO0OOooo........oooOO0OOooo........oo << 425       Z2 = 1.0;
426                                                << 426     }
427 G4double G4EmCorrections::LShell(const G4doubl << 427     G4double e0= 13.6*eV*Z2;
428 {                                              << 428     term += f*atomDensity[i]*KShell(shells.GetBindingEnergy(iz,0)/e0,ba2/Z2)/Z;
429   G4double corr = 0.0;                         << 429     if(2 < iz) {
430                                                << 430       G4double Zeff = Z - ZD[10];
431   static const G4double TheL[26] =             << 431       if(iz < 10) Zeff = Z - ZD[iz];
432     {0.24, 0.26, 0.28, 0.30, 0.32,   0.34, 0.3 << 432       Z2= Zeff*Zeff;
433      0.42, 0.44, 0.45, 0.46, 0.48,   0.50, 0.5 << 433       e0= 13.6*eV*Z2*0.25;
434      0.58, 0.60, 0.62, 0.64, 0.65,   0.66};    << 434       f = 0.125;
435                                                << 435       G4double eta = ba2/Z2;
436   G4double x = tet;                            << 436       G4int ntot = shells.GetNumberOfShells(iz);
437   G4int itet = 0;                              << 437       G4int nmax = std::min(4, ntot);
438   G4int ieta = 0;                              << 438       G4double norm   = 0.0;
439   if(tet < TheL[0]) {                          << 439       G4double eshell = 0.0;
440     x =  TheL[0];                              << 440       for(G4int j=1; j<nmax; j++) {
441   } else if(tet > TheL[nL-1]) {                << 441         G4double x = G4double(shells.GetNumberOfElectrons(iz,j));
442     x =  TheL[nL-1];                           << 442         G4double e1 = shells.GetBindingEnergy(iz,j);
443     itet = nL-2;                               << 443   norm   += x;
444   } else {                                     << 444   eshell += e1*x;
445     itet = Index(x, TheL, nL);                 << 445         term += f*x*atomDensity[i]*LShell(e1/e0,eta)/Z;
446   }                                            << 446       }
447                                                << 447       if(10 < iz) {
448   // asymptotic case                           << 448   eshell /= norm;
449   if(eta >= Eta[nEtaL-1]) {                    << 449   G4double eeff = eshell*eta;
450     corr = (Value(x, TheL[itet], TheL[itet+1], << 450   for(G4int k=nmax; k<ntot; k++) {
451               + Value(x, TheL[itet], TheL[itet << 451           G4double x = G4double(shells.GetNumberOfElectrons(iz,k));
452             )/eta;                             << 452           G4double e1 = shells.GetBindingEnergy(iz,k);
453   } else {                                     << 453           term += f*x*atomDensity[i]*LShell(e1/e0,eeff/e1)/Z;
454     G4double y = eta;                          << 454     //          term += f*x*atomDensity[i]*LShell(eshell/e0,eeff/e1)/Z;
455     if(eta < Eta[0]) {                         << 455   }
456       y =  Eta[0];                             << 456   /*
457     } else {                                   << 457         if(28 >= iz) {
458       ieta = Index(y, Eta, nEtaL);             << 458           term += f*(Z - 10.)*atomDensity[i]*LShell(eshell,HM[iz-11]*eta)/Z; 
459     }                                          << 459         } else if(32 >= iz) {
460     corr = Value2(x, y, TheL[itet], TheL[itet+ << 460           term += f*18.0*atomDensity[i]*LShell(eshell,HM[iz-11]*eta)/Z;
461                   CL[itet][ieta], CL[itet+1][i << 461         } else if(60 >= iz) {
462                   CL[itet][ieta+1], CL[itet+1] << 462           term += f*18.0*atomDensity[i]*LShell(eshell,HM[iz-11]*eta)/Z; 
463     //G4cout << "   x= " <<x<<" y= "<<y<<" tet << 463           term += f*(Z - 28.)*atomDensity[i]*LShell(eshell,HN[iz-33]*eta)/Z; 
464     //           <<" "<< TheL[itet+1]<<" eta=  << 464         } else {
465     //           <<" CL= " << CL[itet][ieta]<< << 465           term += f*18.0*atomDensity[i]*LShell(eshell,HM[53]*eta)/Z;
466     //           <<" "<< CL[itet][ieta+1]<<" " << 466           term += f*32.0*atomDensity[i]*LShell(eshell,HN[30]*eta)/Z;
467   }                                            << 467           term += f*(Z - 60.)*atomDensity[i]*LShell(eshell,150.*eta)/Z; 
468   //G4cout<<"Lshell:  tet= "<<tet<<" eta= "<<e << 468   }
469   //        <<" ieta= "<<ieta<<"  Corr= "<<cor << 469   */
470   return corr;                                 << 470       }
471 }                                              << 471     }
472                                                << 472     //term += atomDensity[i]*MSH[iz]/(ba2*ba2);
473 //....oooOO0OOooo........oooOO0OOooo........oo << 473   }
474                                                << 474 
475 G4double G4EmCorrections::ShellCorrectionSTD(c << 475   term /= material->GetTotNbOfAtomsPerVolume();
476                                              c << 476   return term;
477                                              c << 477 }
478 {                                              << 478 
479   SetupKinematics(p, mat, e);                  << 479 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
480   G4double taulim= 8.0*MeV/mass;               << 480 
481   G4double bg2lim= taulim * (taulim+2.0);      << 481 G4double G4EmCorrections::DensityCorrection(const G4ParticleDefinition* p,
482                                                << 482               const G4Material* mat,
483   G4double* shellCorrectionVector =            << 483               G4double e)
484             material->GetIonisation()->GetShel << 484 {
485   G4double sh = 0.0;                           << 485   SetupKinematics(p, mat, e);
486   G4double x  = 1.0;                           << 486 
487   G4double taul  = material->GetIonisation()-> << 487   G4double cden  = material->GetIonisation()->GetCdensity();
488                                                << 488   G4double mden  = material->GetIonisation()->GetMdensity();
489   if ( bg2 >= bg2lim ) {                       << 489   G4double aden  = material->GetIonisation()->GetAdensity();
490     for (G4int k=0; k<3; ++k) {                << 490   G4double x0den = material->GetIonisation()->GetX0density();
491         x *= bg2 ;                             << 491   G4double x1den = material->GetIonisation()->GetX1density();
492         sh += shellCorrectionVector[k]/x;      << 492 
493     }                                          << 493   G4double twoln10 = 2.0*std::log(10.0);
494                                                << 494   G4double dedx = 0.0;
495   } else {                                     << 495 
496     for (G4int k=0; k<3; ++k) {                << 496   // density correction
497         x *= bg2lim ;                          << 497   G4double x = std::log(bg2)/twoln10;
498         sh += shellCorrectionVector[k]/x;      << 498   if ( x >= x0den ) {
499     }                                          << 499     dedx = twoln10*x - cden ;
500     sh *= G4Log(tau/taul)/G4Log(taulim/taul);  << 500     if ( x < x1den ) dedx += aden*std::pow((x1den-x),mden) ;
501   }                                            << 501   }
502   sh *= 0.5;                                   << 502 
503   return sh;                                   << 503   return dedx;
504 }                                              << 504 }
505                                                << 505 
506                                                << 506 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
507 //....oooOO0OOooo........oooOO0OOooo........oo << 507 
508                                                << 508 G4double G4EmCorrections::BarkasCorrection(const G4ParticleDefinition* p,
509 G4double G4EmCorrections::ShellCorrection(cons << 509              const G4Material* mat, 
510                                           cons << 510              G4double e)
511                                           cons << 511 {
512 {                                              << 512 // . Z^3 Barkas effect in the stopping power of matter for charged particles
513   SetupKinematics(p, mat, ekin);               << 513 //   J.C Ashley and R.H.Ritchie
514   G4double term = 0.0;                         << 514 //   Physical review B Vol.5 No.7 1 April 1972 pp. 2393-2397
515   //G4cout << "### G4EmCorrections::ShellCorre << 515 //   valid for kineticEnergy > 0.5 MeV
516   //       << "   " << ekin/MeV << " MeV " <<  << 516 
517   for (G4int i = 0; i<numberOfElements; ++i) { << 517   SetupKinematics(p, mat, e);
518                                                << 518   G4double BarkasTerm = 0.0;
519     G4double res = 0.0;                        << 519 
520     G4double res0 = 0.0;                       << 520   for (G4int i = 0; i<numberOfElements; i++) {
521     const G4double Z = (*theElementVector)[i]- << 521 
522     const G4int iz = (*theElementVector)[i]->G << 522     G4double Z = (*theElementVector)[i]->GetZ();
523     G4double Z2= (Z-0.3)*(Z-0.3);              << 523     G4int iz = G4int(Z);
524     G4double f = 1.0;                          << 524 
525     if(1 == iz) {                              << 525     G4double X = ba2 / Z;
526       f  = 0.5;                                << 526     G4double b = 1.3;
527       Z2 = 1.0;                                << 527     if(1 == iz) {
528     }                                          << 528       if(material->GetName() == "G4_lH2") b = 0.6;
529     G4double eta = ba2/Z2;                     << 529       else                                b = 1.8;
530     G4double tet = (11 < iz) ? sThetaK->Value( << 530     }
531     res0 = f*KShell(tet,eta);                  << 531     else if(2 == iz)  b = 0.6;
532     res += res0;                               << 532     else if(10 >= iz) b = 1.8;
533     //G4cout << " Z= " << iz << " Shell 0" <<  << 533     else if(17 >= iz) b = 1.4;
534     //       << " eta= " << eta << "  resK= "  << 534     else if(18 == iz) b = 1.8;
535                                                << 535     else if(25 >= iz) b = 1.4;
536     if(2 < iz) {                               << 536     else if(50 >= iz) b = 1.35;
537       const G4double Zeff = (iz < 10) ? Z - ZD << 537 
538       Z2= Zeff*Zeff;                           << 538     G4double W = b/std::sqrt(X);
539       eta = ba2/Z2;                            << 539 
540       tet = sThetaL->Value(Z);                 << 540     G4double val;
541       f = 0.125;                               << 541     if(W <= engBarkas[0])       val =  corBarkas[0];
542       const G4int ntot = G4AtomicShells::GetNu << 542     else if(W >= engBarkas[46]) val =  corBarkas[46]*engBarkas[46]/W;
543       const G4int nmax = std::min(4, ntot);    << 543     else {
544       G4double norm   = 0.0;                   << 544       G4int iw = Index(W, engBarkas, 47);
545       G4double eshell = 0.0;                   << 545       val = Value(W, engBarkas[iw], engBarkas[iw+1], 
546       for(G4int j=1; j<nmax; ++j) {            << 546       corBarkas[iw], corBarkas[iw+1]);
547         G4int ne = G4AtomicShells::GetNumberOf << 547     }
548         if(15 >= iz) {                         << 548     //    G4cout << "i= " << i << " b= " << b << " W= " << W 
549           tet = (3 > j) ? 0.25*Z2*(1.0 + 5*Z2* << 549     // << " Z= " << Z << " X= " << X << " val= " << val<< G4endl;
550       0.25*Z2*(1.0 + Z2*alpha2/16.);           << 550     BarkasTerm += val*atomDensity[i] / (std::sqrt(Z*X)*X);
551         }                                      << 551   }
552         norm   += ne;                          << 552 
553         eshell += tet*ne;                      << 553   BarkasTerm *= 1.29*charge/material->GetTotNbOfAtomsPerVolume();
554         res0 = f*ne*LShell(tet,eta);           << 554   return BarkasTerm;
555         res += res0;                           << 555 }
556         //G4cout << " Zeff= " << Zeff << " She << 556 
557         //       << " tet= " << tet << " eta=  << 557 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
558         //       << "  resL= " << res0 << G4en << 558 
559       }                                        << 559 G4double G4EmCorrections::BlochCorrection(const G4ParticleDefinition* p,
560       if(ntot > nmax) {                        << 560             const G4Material* mat,
561   if (norm > 0.0) { norm = 1.0/norm; }         << 561             G4double e)
562         eshell *= norm;                        << 562 {
563                                                << 563   SetupKinematics(p, mat, e);
564   static const G4double HM[53] = {             << 564 
565     12.0, 12.0, 12.0, 12.0, 11.9, 11.7, 11.5,  << 565   G4double y2 = q2/ba2;
566     10.0,  9.51, 8.97, 8.52, 8.03, 7.46, 6.95, << 566 
567     5.61,  5.39, 5.19, 5.01, 4.86, 4.72, 4.62, << 567   G4double term = 1.0/(1.0 + y2);
568     4.32,  4.26, 4.20, 4.15, 4.1,  4.04, 4.00, << 568   G4double del;
569     3.90,  3.89, 3.89, 3.88, 3.88, 3.88, 3.88, << 569   G4double j = 1.0;
570     3.90, 3.92, 3.93 };                        << 570   do {
571   static const G4double HN[31] = {             << 571     j += 1.0;
572     75.5, 61.9, 52.2, 45.1, 39.6, 35.4, 31.9,  << 572     del = 1.0/(j* (j*j + y2));
573     24.5, 23.6, 22.7, 22.0, 21.4, 20.9, 20.5,  << 573     term += del;
574     19.5, 19.3, 19.2, 19.1, 18.4, 18.8, 18.7,  << 574   } while (del > 0.01*term);
575     18.2};                                     << 575 
576                                                << 576   return -y2*term;
577         // Add M-shell                         << 577 }
578         if(28 > iz) {                          << 578 
579           res += f*(iz - 10)*LShell(eshell,HM[ << 579 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
580         } else if(63 > iz) {                   << 580 
581           res += f*18*LShell(eshell,HM[iz-11]* << 581 G4double G4EmCorrections::MottCorrection(const G4ParticleDefinition* p,
582         } else {                               << 582            const G4Material* mat, 
583           res += f*18*LShell(eshell,HM[52]*eta << 583            G4double e)
584         }                                      << 584 {
585         // Add N-shell                         << 585   SetupKinematics(p, mat, e);
586         if(32 < iz) {                          << 586   G4double mterm = CLHEP::pi*fine_structure_const*beta*charge;
587           if(60 > iz) {                        << 587   return mterm;
588             res += f*(iz - 28)*LShell(eshell,H << 588 }
589           } else if(63 > iz) {                 << 589 
590             res += 4*LShell(eshell,HN[iz-33]*e << 590 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
591           } else {                             << 591 
592             res += 4*LShell(eshell,HN[30]*eta) << 592 G4double G4EmCorrections::NuclearDEDX(const G4ParticleDefinition* p,
593           }                                    << 593               const G4Material* mat,
594           // Add O-P-shells                    << 594               G4double e,
595           if(60 < iz) {                        << 595               G4bool fluct)
596             res += f*(iz - 60)*LShell(eshell,1 << 596 {
597           }                                    << 597   G4double nloss = 0.0;
598         }                                      << 598   if(e <= 0.0) return nloss; 
599       }                                        << 599   SetupKinematics(p, mat, e);
600     }                                          << 600 
601     term += res*atomDensity[i]/Z;              << 601   lossFlucFlag = fluct;
602   }                                            << 602 
603                                                << 603   // Projectile nucleus
604   term /= material->GetTotNbOfAtomsPerVolume() << 604   G4double z1 = std::abs(particle->GetPDGCharge()/eplus);
605   //G4cout << "##Shell Correction=" << term << << 605   G4double m1 = mass/amu_c2;
606   return term;                                 << 606 
607 }                                              << 607   //  loop for the elements in the material
608                                                << 608   for (G4int iel=0; iel<numberOfElements; iel++) {
609 //....oooOO0OOooo........oooOO0OOooo........oo << 609     const G4Element* element = (*theElementVector)[iel] ;
610                                                << 610     G4double z2 = element->GetZ();
611 G4double G4EmCorrections::DensityCorrection(co << 611     G4double m2 = element->GetA()*mole/g ;
612                                             co << 612     nloss += (NuclearStoppingPower(kinEnergy, z1, z2, m1, m2))
613                                             co << 613            * atomDensity[iel] ;
614 {                                              << 614   }
615   SetupKinematics(p, mat, e);                  << 615   nloss *= theZieglerFactor;
616                                                << 616   return nloss;
617   G4double cden  = material->GetIonisation()-> << 617 }
618   G4double mden  = material->GetIonisation()-> << 618 
619   G4double aden  = material->GetIonisation()-> << 619 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
620   G4double x0den = material->GetIonisation()-> << 620 
621   G4double x1den = material->GetIonisation()-> << 621 G4double G4EmCorrections::NuclearStoppingPower(G4double kineticEnergy,
622                                                << 622                                                G4double z1, G4double z2,
623   G4double dedx = 0.0;                         << 623                                                G4double m1, G4double m2)
624                                                << 624 {
625   // density correction                        << 625   G4double energy = kineticEnergy/keV ;  // energy in keV
626   static const G4double twoln10 = 2.0*G4Log(10 << 626   G4double nloss = 0.0;
627   G4double x = G4Log(bg2)/twoln10;             << 627   
628   if ( x >= x0den ) {                          << 628   G4double rm;
629     dedx = twoln10*x - cden ;                  << 629   if(z1 > 1.5) rm = (m1 + m2) * ( Z23[G4int(z1)] + Z23[G4int(z2)] ) ;
630     if ( x < x1den ) dedx += aden*G4Exp(G4Log( << 630   else         rm = (m1 + m2) * nist->GetZ13(G4int(z2));
631   }                                            << 631 
632                                                << 632   G4double er = 32.536 * m2 * energy / ( z1 * z2 * rm ) ;  // reduced energy
633   return dedx;                                 << 633 
634 }                                              << 634   if (er >= ed[0])       nloss = a[0];
635                                                << 635   else {
636 //....oooOO0OOooo........oooOO0OOooo........oo << 636     // the table is inverse in energy
637                                                << 637     for (G4int i=102; i>=0; i--)
638 G4double G4EmCorrections::BarkasCorrection(con << 638     {
639                                            con << 639       if (er <= ed[i]) {
640                                            con << 640   nloss = (a[i] - a[i+1])*(er - ed[i+1])/(ed[i] - ed[i+1]) + a[i+1];
641                                            con << 641   break;
642 {                                              << 642       }
643   // . Z^3 Barkas effect in the stopping power << 643     }
644   //   J.C Ashley and R.H.Ritchie              << 644   }
645   //   Physical review B Vol.5 No.7 1 April 19 << 645 
646   //   valid for kineticEnergy > 0.5 MeV       << 646   // Stragling
647                                                << 647   if(lossFlucFlag) {
648   if (!isInitialized) { SetupKinematics(p, mat << 648     //    G4double sig = 4.0 * m1 * m2 / ((m1 + m2)*(m1 + m2)*
649   G4double BarkasTerm = 0.0;                   << 649     //              (4.0 + 0.197*std::pow(er,-1.6991)+6.584*std::pow(er,-1.0494))) ;
650                                                << 650     G4double sig = 4.0 * m1 * m2 / ((m1 + m2)*(m1 + m2)*
651   for (G4int i = 0; i<numberOfElements; ++i) { << 651             (4.0 + 0.197/(er*er) + 6.584/er));
652                                                << 652 
653     const G4int iz = (*theElementVector)[i]->G << 653     nloss *= G4RandGauss::shoot(1.0,sig) ;
654     if(iz == 47) {                             << 654   }
655       BarkasTerm += atomDensity[i]*0.006812*G4 << 655    
656     } else if(iz >= 64) {                      << 656   nloss *= 8.462 * z1 * z2 * m1 / rm ; // Return to [ev/(10^15 atoms/cm^2]
657       BarkasTerm += atomDensity[i]*0.002833*G4 << 657 
658     } else {                                   << 658   if ( nloss < 0.0) nloss = 0.0 ;
659                                                << 659 
660       const G4double Z = (*theElementVector)[i << 660   return nloss;
661       const G4double X = ba2 / Z;              << 661 }
662       G4double b = 1.3;                        << 662 
663       if(1 == iz) { b = (material->GetName() = << 663 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
664       else if(2 == iz)  { b = 0.6; }           << 664 
665       else if(10 >= iz) { b = 1.8; }           << 665 G4double G4EmCorrections::EffectiveChargeCorrection(const G4ParticleDefinition* p,
666       else if(17 >= iz) { b = 1.4; }           << 666                 const G4Material* mat,
667       else if(18 == iz) { b = 1.8; }           << 667                 G4double ekin)
668       else if(25 >= iz) { b = 1.4; }           << 668 {
669       else if(50 >= iz) { b = 1.35;}           << 669   G4double factor = 1.0;
670                                                << 670   if(p->GetPDGCharge() <= 2.5*eplus || nIons <= 0) return factor;
671       const G4double W = b/std::sqrt(X);       << 671   /*
672                                                << 672   if(verbose > 1) {
673       G4double val = sBarkasCorr->Value(W, idx << 673     G4cout << "EffectiveChargeCorrection: " << p->GetParticleName() 
674       if (W > sWmaxBarkas) { val *= (sWmaxBark << 674      << " in " << mat->GetName()
675       //    G4cout << "i= " << i << " b= " <<  << 675            << " ekin(MeV)= " << ekin/MeV << G4endl;
676       // << " Z= " << Z << " X= " << X << " va << 676   }
677       BarkasTerm += val*atomDensity[i] / (std: << 677   */
678     }                                          << 678   if(p != curParticle || mat != curMaterial) {
679   }                                            << 679     curParticle = p;
680                                                << 680     curMaterial = mat;
681   BarkasTerm *= 1.29*charge/material->GetTotNb << 681     curVector   = 0;
682                                                << 682     currentZ = p->GetAtomicNumber();
683   return BarkasTerm;                           << 683     if(verbose > 1) {
684 }                                              << 684       G4cout << "G4EmCorrections::EffectiveChargeCorrection: Zion= " 
685                                                << 685        << currentZ << " Aion= " << p->GetPDGMass()/amu_c2 << G4endl;
686 //....oooOO0OOooo........oooOO0OOooo........oo << 686     }
687                                                << 687     massFactor = proton_mass_c2/p->GetPDGMass();
688 G4double G4EmCorrections::BlochCorrection(cons << 688     idx = -1;
689                                           cons << 689 
690                                           cons << 690     for(G4int i=0; i<nIons; i++) {
691                                           cons << 691       if(materialList[i] == mat && currentZ == Zion[i]) {
692 {                                              << 692   idx = i;
693   if (!isInitialized) { SetupKinematics(p, mat << 693         break;
694                                                << 694       }
695   G4double y2 = q2/ba2;                        << 695     }
696                                                << 696     //    G4cout << " idx= " << idx << " dz= " << dz << G4endl;
697   G4double term = 1.0/(1.0 + y2);              << 697     if(idx >= 0) {
698   G4double del;                                << 698       if(!ionList[idx]) BuildCorrectionVector(); 
699   G4double j = 1.0;                            << 699       if(ionList[idx])  curVector = stopData[idx];
700   do {                                         << 700     } else { return factor; }
701     j += 1.0;                                  << 701   }
702     del = 1.0/(j* (j*j + y2));                 << 702   if(curVector) {
703     term += del;                               << 703     G4bool b;
704     // Loop checking, 03-Aug-2015, Vladimir Iv << 704     factor = curVector->GetValue(ekin*massFactor,b);
705   } while (del > 0.01*term);                   << 705     if(verbose > 1) {
706                                                << 706       G4cout << "E= " << ekin << " factor= " << factor << " massfactor= " 
707   return -y2*term;                             << 707        << massFactor << G4endl;
708 }                                              << 708     }
709                                                << 709   }
710 //....oooOO0OOooo........oooOO0OOooo........oo << 710   return factor;
711                                                << 711 }
712 G4double G4EmCorrections::MottCorrection(const << 712 
713                                          const << 713 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
714                                          const << 714 
715                                          const << 715 void G4EmCorrections::AddStoppingData(G4int Z, G4int A,
716 {                                              << 716               const G4String& mname,
717   if (!isInitialized) { SetupKinematics(p, mat << 717               G4PhysicsVector* dVector)
718   return CLHEP::pi*CLHEP::fine_structure_const << 718 {
719 }                                              << 719   G4int i = 0;
720                                                << 720   for(; i<nIons; i++) {
721 //....oooOO0OOooo........oooOO0OOooo........oo << 721     if(Z == Zion[i] && A == Aion[i] && mname == materialName[i]) break;
722                                                << 722   }
723 G4double                                       << 723   if(i == nIons) {
724 G4EmCorrections::EffectiveChargeCorrection(con << 724     Zion.push_back(Z);
725                                            con << 725     Aion.push_back(A);
726                                            con << 726     materialName.push_back(mname);
727 {                                              << 727     materialList.push_back(0);
728   G4double factor = 1.0;                       << 728     ionList.push_back(0);
729   if(p->GetPDGCharge() <= 2.5*CLHEP::eplus ||  << 729     stopData.push_back(dVector);
730                                                << 730     nIons++;
731   if(verbose > 1) {                            << 731     if(verbose>1) {
732     G4cout << "EffectiveChargeCorrection: " << << 732       G4cout << "AddStoppingData Z= " << Z << " A= " << A << " " << mname
733            << " in " << mat->GetName()         << 733        << "  idx= " << i << G4endl;
734            << " ekin(MeV)= " << ekin/MeV << G4 << 734     }
735   }                                            << 735   }
736                                                << 736 }
737   if(p != curParticle || mat != curMaterial) { << 737 
738     curParticle = p;                           << 738 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
739     curMaterial = mat;                         << 739 
740     curVector   = nullptr;                     << 740 void G4EmCorrections::BuildCorrectionVector()
741     currentZ = p->GetAtomicNumber();           << 741 {
742     if(verbose > 1) {                          << 742   if(!ionLEModel || !ionHEModel) {
743       G4cout << "G4EmCorrections::EffectiveCha << 743     return;
744              << currentZ << " Aion= " << p->Ge << 744   }
745     }                                          << 745 
746     massFactor = CLHEP::proton_mass_c2/p->GetP << 746   const G4ParticleDefinition* ion = curParticle;
747     idx = -1;                                  << 747   G4int Z = Zion[idx];
748                                                << 748   if(currentZ != Z) {
749     for(G4int i=0; i<nIons; ++i) {             << 749     ion = G4ParticleTable::GetParticleTable()->FindIon(Z, Aion[idx], 0, Z);
750       if(materialList[i] == mat && currentZ == << 750   }
751         idx = i;                               << 751   //G4cout << "BuildCorrectionVector: idx= " << idx << " Z= " << Z 
752         break;                                 << 752   //   << " curZ= " << currentZ << G4endl;
753       }                                        << 753 
754     }                                          << 754   // G4double A = nist->GetAtomicMassAmu(Z);
755     //G4cout << " idx= " << idx << " dz= " <<  << 755   G4double A = G4double(ion->GetBaryonNumber());
756     if(idx >= 0) {                             << 756   G4PhysicsVector* v = stopData[idx];
757       if(nullptr == ionList[idx]) { BuildCorre << 757     
758       curVector = stopData[idx];               << 758   const G4ParticleDefinition* p = G4GenericIon::GenericIon();
759     } else {                                   << 759   G4double massRatio = proton_mass_c2/ion->GetPDGMass();
760       return factor;                           << 760 
761     }                                          << 761   if(verbose>1) {
762   }                                            << 762     G4cout << "BuildCorrectionVector: Stopping for "
763   if(nullptr != curVector) {                   << 763      << curParticle->GetParticleName() << " in " 
764     factor = curVector->Value(ekin*massFactor) << 764      << materialName[idx] << " Ion Z= " << Z << " A= " << A
765     if(verbose > 1) {                          << 765      << " massRatio= " << massRatio << G4endl;
766       G4cout << "E= " << ekin << " factor= " < << 766   }
767              << massFactor << G4endl;          << 767   G4bool b;
768     }                                          << 768 
769   }                                            << 769   G4PhysicsLogVector* vv = 
770   return factor;                               << 770     new G4PhysicsLogVector(eCorrMin,eCorrMax,nbinCorr);
771 }                                              << 771   vv->SetSpline(true);
772                                                << 772   G4double e, eion, dedx, dedx1;
773 //....oooOO0OOooo........oooOO0OOooo........oo << 773   G4double eth0 = v->GetLowEdgeEnergy(0);
774                                                << 774   G4double escal = eth/massRatio;
775 void G4EmCorrections::AddStoppingData(const G4 << 775   G4double qe = 
776                                       const G4 << 776     effCharge.EffectiveChargeSquareRatio(ion, curMaterial, escal); 
777                                       G4Physic << 777   G4double dedxt = 
778 {                                              << 778     ionLEModel->ComputeDEDXPerVolume(curMaterial, p, eth, eth)*qe;
779   G4int i = 0;                                 << 779   G4double dedx1t = 
780   for(; i<nIons; ++i) {                        << 780     ionHEModel->ComputeDEDXPerVolume(curMaterial, p, eth, eth)*qe 
781     if(Z == Zion[i] && A == Aion[i] && mname = << 781     + ComputeIonCorrections(curParticle, curMaterial, escal);
782   }                                            << 782   G4double rest = escal*(dedxt - dedx1t);
783   if(i == nIons) {                             << 783   //G4cout << "Escal(MeV)= "<<escal<<" dedxt0= " <<dedxt 
784     Zion.push_back(Z);                         << 784   //   << " dedxt1= " << dedx1t << G4endl;   
785     Aion.push_back(A);                         << 785 
786     materialName.push_back(mname);             << 786   for(G4int i=0; i<nbinCorr; i++) {
787     materialList.push_back(nullptr);           << 787     e = vv->GetLowEdgeEnergy(i);
788     ionList.push_back(nullptr);                << 788     escal = e/massRatio;
789     stopData.push_back(dVector);               << 789     eion  = escal/A;
790     nIons++;                                   << 790     if(eion <= eth0) {
791     if(verbose > 1) {                          << 791       dedx = v->GetValue(eth0, b)*std::sqrt(eion/eth0);
792       G4cout << "AddStoppingData Z= " << Z <<  << 792     } else {
793              << "  idx= " << i << G4endl;      << 793       dedx = v->GetValue(eion, b);
794     }                                          << 794     }
795   }                                            << 795     qe = effCharge.EffectiveChargeSquareRatio(curParticle,curMaterial,escal); 
796 }                                              << 796     if(e <= eth) {
797                                                << 797       dedx1 = ionLEModel->ComputeDEDXPerVolume(curMaterial, p, e, e)*qe;
798 //....oooOO0OOooo........oooOO0OOooo........oo << 798     } else {
799                                                << 799       dedx1 = ionHEModel->ComputeDEDXPerVolume(curMaterial, p, e, e)*qe +
800 void G4EmCorrections::BuildCorrectionVector()  << 800   ComputeIonCorrections(curParticle, curMaterial, escal) + rest/escal;
801 {                                              << 801     }
802   if(nullptr == ionLEModel || nullptr == ionHE << 802     vv->PutValue(i, dedx/dedx1);
803     return;                                    << 803     if(verbose>1) {
804   }                                            << 804       G4cout << "  E(meV)= " << e/MeV << "   Correction= " << dedx/dedx1
805                                                << 805        << "   "  << dedx << " " << dedx1 
806   const G4ParticleDefinition* ion = curParticl << 806        << "  massF= " << massFactor << G4endl;
807   const G4ParticleDefinition* gion = G4Generic << 807     }
808   G4int Z = Zion[idx];                         << 808   }
809   G4double A = Aion[idx];                      << 809   delete v;
810   G4PhysicsVector* v = stopData[idx];          << 810   ionList[idx]  = ion;
811                                                << 811   stopData[idx] = vv;
812   if(verbose > 1) {                            << 812   if(verbose>1) G4cout << "End data set " << G4endl;
813     G4cout << "BuildCorrectionVector: Stopping << 813 }
814            << curParticle->GetParticleName() < << 814 
815            << materialName[idx] << " Ion Z= "  << 815 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
816            << " massFactor= " << massFactor << << 816 
817     G4cout << "    Nbins=" << nbinCorr << " Em << 817 void G4EmCorrections::InitialiseForNewRun()
818      << " Emax(MeV)=" << eCorrMax << " ion: "  << 818 {
819            << ion->GetParticleName() << G4endl << 819   G4ProductionCutsTable* tb = G4ProductionCutsTable::GetProductionCutsTable();
820   }                                            << 820   ncouples = tb->GetTableSize();
821                                                << 821   if(currmat.size() != ncouples) {
822   auto vv = new G4PhysicsLogVector(eCorrMin,eC << 822     currmat.resize(ncouples);
823   const G4double eth0 = v->Energy(0);          << 823     size_t i;
824   const G4double escal = eth/massFactor;       << 824     for(i=0; i<100; i++) {thcorr[i].clear();}
825   G4double qe =                                << 825     for(i=0; i<ncouples; i++) {
826     effCharge.EffectiveChargeSquareRatio(curPa << 826       currmat[i] = tb->GetMaterialCutsCouple(i)->GetMaterial();
827   const G4double dedxt =                       << 827       G4String nam = currmat[i]->GetName();
828     ionLEModel->ComputeDEDXPerVolume(curMateri << 828       for(G4int j=0; j<nIons; j++) {
829   const G4double dedx1t =                      << 829   if(nam == materialName[j]) { materialList[j] = currmat[i]; }
830     ionHEModel->ComputeDEDXPerVolume(curMateri << 830       }
831     + ComputeIonCorrections(curParticle, curMa << 831     }
832   const G4double rest = escal*(dedxt - dedx1t) << 832   }
833   if(verbose > 1) {                            << 833 }
834     G4cout << "Escal(MeV)= " << escal << " qe= << 834 
835            << " dedxt= " << dedxt << " dedx1t= << 835 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
836   }                                            << 836 
837   for(G4int i=0; i<=nbinCorr; ++i) {           << 837 void G4EmCorrections::Initialise()
838     // energy in the local table (GenericIon)  << 838 {
839     G4double e = vv->Energy(i);                << 839 // . Z^3 Barkas effect in the stopping power of matter for charged particles
840     // energy of the real ion                  << 840 //   J.C Ashley and R.H.Ritchie
841     G4double eion = e/massFactor;              << 841 //   Physical review B Vol.5 No.7 1 April 1972 pagg. 2393-2397
842     // energy in the imput stopping data vecto << 842   G4int i, j;
843     G4double e1 = eion/A;                      << 843   const G4double fTable[47][2] = {
844     G4double dedx = (e1 < eth0)                << 844    { 0.02, 21.5},
845       ? v->Value(eth0)*std::sqrt(e1/eth0) : v- << 845    { 0.03, 20.0},
846     qe = effCharge.EffectiveChargeSquareRatio( << 846    { 0.04, 18.0},
847     G4double dedx1 = (e <= eth)                << 847    { 0.05, 15.6},
848       ? ionLEModel->ComputeDEDXPerVolume(curMa << 848    { 0.06, 15.0},
849       : ionHEModel->ComputeDEDXPerVolume(curMa << 849    { 0.07, 14.0},
850       ComputeIonCorrections(curParticle, curMa << 850    { 0.08, 13.5},
851     vv->PutValue(i, dedx/dedx1);               << 851    { 0.09, 13.},
852     if(verbose > 1) {                          << 852    { 0.1,  12.2},
853       G4cout << "E(MeV)=" << e/CLHEP::MeV << " << 853    { 0.2,  9.25},
854        << " e1=" << e1 << " dedxRatio= " << de << 854    { 0.3,  7.0},
855              << " dedx="  << dedx << " dedx1=" << 855    { 0.4,  6.0},
856              << " qe=" << qe << " rest/eion="  << 856    { 0.5,  4.5},
857     }                                          << 857    { 0.6,  3.5},
858   }                                            << 858    { 0.7,  3.0},
859   delete v;                                    << 859    { 0.8,  2.5},
860   ionList[idx]  = ion;                         << 860    { 0.9,  2.0},
861   stopData[idx] = vv;                          << 861    { 1.0,  1.7},
862   if(verbose > 1) { G4cout << "End data set "  << 862    { 1.2,  1.2},
863 }                                              << 863    { 1.3,  1.0},
864                                                << 864    { 1.4,  0.86},
865 //....oooOO0OOooo........oooOO0OOooo........oo << 865    { 1.5,  0.7},
866                                                << 866    { 1.6,  0.61},
867 void G4EmCorrections::InitialiseForNewRun()    << 867    { 1.7,  0.52},
868 {                                              << 868    { 1.8,  0.5},
869   G4ProductionCutsTable* tb = G4ProductionCuts << 869    { 1.9,  0.43},
870   ncouples = tb->GetTableSize();               << 870    { 2.0,  0.42},
871   if(currmat.size() != ncouples) {             << 871    { 2.1,  0.3},
872     currmat.resize(ncouples);                  << 872    { 2.4,  0.2},
873     for(auto it = thcorr.begin(); it != thcorr << 873    { 3.0,  0.13},
874       (it->second).clear();                    << 874    { 3.08, 0.1},
875     }                                          << 875    { 3.1,  0.09},
876     thcorr.clear();                            << 876    { 3.3,  0.08},
877     for(std::size_t i=0; i<ncouples; ++i) {    << 877    { 3.5,  0.07},
878       currmat[i] = tb->GetMaterialCutsCouple(( << 878    { 3.8,  0.06},
879       G4String nam = currmat[i]->GetName();    << 879    { 4.0,  0.051},
880       for(G4int j=0; j<nIons; ++j) {           << 880    { 4.1,  0.04},
881         if(nam == materialName[j]) { materialL << 881    { 4.8,  0.03},
882       }                                        << 882    { 5.0,  0.024},
883     }                                          << 883    { 5.1,  0.02},
884   }                                            << 884    { 6.0,  0.013},
885 }                                              << 885    { 6.5,  0.01},
886                                                << 886    { 7.0,  0.009},
887 //....oooOO0OOooo........oooOO0OOooo........oo << 887    { 7.1,  0.008},
888                                                << 888    { 8.0,  0.006},
889 void G4EmCorrections::Initialise()             << 889    { 9.0,  0.0032},
890 {                                              << 890    { 10.0, 0.0025} };
891   // Z^3 Barkas effect in the stopping power o << 891 
892   // J.C Ashley and R.H.Ritchie                << 892   for(i=0; i<47; i++) {
893   // Physical review B Vol.5 No.7 1 April 1972 << 893     engBarkas[i] = fTable[i][0];
894   // G.S. Khandelwal Nucl. Phys. A116(1968)97  << 894     corBarkas[i] = fTable[i][1];
895   // "Shell corrections for K- and L- electron << 895   }
896                                                << 896 
897   G4int i, j;                                  << 897   const G4double nuca[104][2] = {
898   static const G4double fTable[47][2] = {      << 898   { 1.0E+8, 5.831E-8},
899    { 0.02, 21.5},                              << 899   { 8.0E+7, 7.288E-8},
900    { 0.03, 20.0},                              << 900   { 6.0E+7, 9.719E-8},
901    { 0.04, 18.0},                              << 901   { 5.0E+7, 1.166E-7},
902    { 0.05, 15.6},                              << 902   { 4.0E+7, 1.457E-7},
903    { 0.06, 15.0},                              << 903   { 3.0E+7, 1.942E-7},
904    { 0.07, 14.0},                              << 904   { 2.0E+7, 2.916E-7},
905    { 0.08, 13.5},                              << 905   { 1.5E+7, 3.887E-7},
906    { 0.09, 13.},                               << 906 
907    { 0.1,  12.2},                              << 907   { 1.0E+7, 5.833E-7},
908    { 0.2,  9.25},                              << 908   { 8.0E+6, 7.287E-7},
909    { 0.3,  7.0},                               << 909   { 6.0E+6, 9.712E-7},
910    { 0.4,  6.0},                               << 910   { 5.0E+6, 1.166E-6},
911    { 0.5,  4.5},                               << 911   { 4.0E+6, 1.457E-6},
912    { 0.6,  3.5},                               << 912   { 3.0E+6, 1.941E-6},
913    { 0.7,  3.0},                               << 913   { 2.0E+6, 2.911E-6},
914    { 0.8,  2.5},                               << 914   { 1.5E+6, 3.878E-6},
915    { 0.9,  2.0},                               << 915 
916    { 1.0,  1.7},                               << 916   { 1.0E+6, 5.810E-6},
917    { 1.2,  1.2},                               << 917   { 8.0E+5, 7.262E-6},
918    { 1.3,  1.0},                               << 918   { 6.0E+5, 9.663E-6},
919    { 1.4,  0.86},                              << 919   { 5.0E+5, 1.157E-5},
920    { 1.5,  0.7},                               << 920   { 4.0E+5, 1.442E-5},
921    { 1.6,  0.61},                              << 921   { 3.0E+5, 1.913E-5},
922    { 1.7,  0.52},                              << 922   { 2.0E+5, 2.845E-5},
923    { 1.8,  0.5},                               << 923   { 1.5E+5, 3.762E-5},
924    { 1.9,  0.43},                              << 924 
925    { 2.0,  0.42},                              << 925   { 1.0E+5, 5.554E-5},
926    { 2.1,  0.3},                               << 926   { 8.0E+4, 6.866E-5},
927    { 2.4,  0.2},                               << 927   { 6.0E+4, 9.020E-5},
928    { 3.0,  0.13},                              << 928   { 5.0E+4, 1.070E-4},
929    { 3.08, 0.1},                               << 929   { 4.0E+4, 1.319E-4},
930    { 3.1,  0.09},                              << 930   { 3.0E+4, 1.722E-4},
931    { 3.3,  0.08},                              << 931   { 2.0E+4, 2.499E-4},
932    { 3.5,  0.07},                              << 932   { 1.5E+4, 3.248E-4},
933    { 3.8,  0.06},                              << 933 
934    { 4.0,  0.051},                             << 934   { 1.0E+4, 4.688E-4},
935    { 4.1,  0.04},                              << 935   { 8.0E+3, 5.729E-4},
936    { 4.8,  0.03},                              << 936   { 6.0E+3, 7.411E-4},
937    { 5.0,  0.024},                             << 937   { 5.0E+3, 8.718E-4},
938    { 5.1,  0.02},                              << 938   { 4.0E+3, 1.063E-3},
939    { 6.0,  0.013},                             << 939   { 3.0E+3, 1.370E-3},
940    { 6.5,  0.01},                              << 940   { 2.0E+3, 1.955E-3},
941    { 7.0,  0.009},                             << 941   { 1.5E+3, 2.511E-3},
942    { 7.1,  0.008},                             << 942 
943    { 8.0,  0.006},                             << 943   { 1.0E+3, 3.563E-3},
944    { 9.0,  0.0032},                            << 944   { 8.0E+2, 4.314E-3},
945    { 10.0, 0.0025} };                          << 945   { 6.0E+2, 5.511E-3},
946                                                << 946   { 5.0E+2, 6.430E-3},
947   sBarkasCorr = new G4PhysicsFreeVector(47, fa << 947   { 4.0E+2, 7.756E-3},
948   for(i=0; i<47; ++i) { sBarkasCorr->PutValues << 948   { 3.0E+2, 9.855E-3},
949                                                << 949   { 2.0E+2, 1.375E-2},
950   const G4double SK[20] = {1.9477, 1.9232, 1.8 << 950   { 1.5E+2, 1.736E-2},
951                            1.7754, 1.7396, 1.7 << 951 
952                            1.6461, 1.6189, 1.5 << 952   { 1.0E+2, 2.395E-2},
953                            1.5467, 1.5254, 1.5 << 953   { 8.0E+1, 2.850E-2},
954   const G4double TK[20] = {2.5222, 2.5125, 2.5 << 954   { 6.0E+1, 3.552E-2},
955                            2.4388, 2.4163, 2.4 << 955   { 5.0E+1, 4.073E-2},
956                            2.3466, 2.3229, 2.2 << 956   { 4.0E+1, 4.802E-2},
957                            2.2515, 2.2277, 2.2 << 957   { 3.0E+1, 5.904E-2},
958                                                << 958   { 1.5E+1, 9.426E-2},
959   const G4double SL[26] = {15.3343, 13.9389, 1 << 959 
960                            10.3424, 10.0371,   << 960   { 1.0E+1, 1.210E-1},
961                            8.4114,  8.0683,    << 961   { 8.0E+0, 1.377E-1},
962                            7.2506,  7.0327,    << 962   { 6.0E+0, 1.611E-1},
963                            6.4969,  6.3498,    << 963   { 5.0E+0, 1.768E-1},
964   const G4double TL[26] = {35.0669, 33.4344, 3 << 964   { 4.0E+0, 1.968E-1},
965                            28.6128, 28.1449, 2 << 965   { 3.0E+0, 2.235E-1},
966                            25.4058, 24.7587, 2 << 966   { 2.0E+0, 2.613E-1},
967                            23.0771, 22.5880, 2 << 967   { 1.5E+0, 2.871E-1},
968                            21.2872, 20.9006, 2 << 968 
969                                                << 969   { 1.0E+0, 3.199E-1},
970   const G4double bk1[29][11] = {               << 970   { 8.0E-1, 3.354E-1},
971   {0.005, 1.34782E-8, 1.46132E-8, 1.72179E-8,  << 971   { 6.0E-1, 3.523E-1},
972   {0.007, 6.87555E-8, 7.44373E-8, 8.74397E-8,  << 972   { 5.0E-1, 3.609E-1},
973   {0.01, 3.78413E-7, 4.08831E-7, 4.78154E-7, 5 << 973   { 4.0E-1, 3.693E-1},
974   {0.015, 2.53200E-6, 2.72664E-6, 3.16738E-6,  << 974   { 3.0E-1, 3.766E-1},
975   {0.02, 9.43891E-6, 1.01339E-5, 1.16984E-5, 1 << 975   { 2.0E-1, 3.803E-1},
976   {0.03, 5.67088E-5, 6.05576E-5, 6.91311E-5, 7 << 976   { 1.5E-1, 3.788E-1},
977   {0.04, 1.91576E-4, 2.03626E-4, 2.30230E-4, 2 << 977 
978   {0.05, 4.74226E-4, 5.02006E-4, 5.62872E-4, 6 << 978   { 1.0E-1, 3.711E-1},
979   {0.06, 9.67285E-4, 1.02029E-3, 1.13566E-3, 1 << 979   { 8.0E-2, 3.644E-1},
980   {0.08, 2.81537E-3, 2.95200E-3, 3.24599E-3, 3 << 980   { 6.0E-2, 3.530E-1},
981   {0.1, 6.14216E-3, 6.40864E-3, 6.97750E-3, 7. << 981   { 5.0E-2, 3.444E-1},
982   {0.15, 2.23096E-2, 2.30790E-2, 2.46978E-2, 2 << 982   { 4.0E-2, 3.323E-1},
983   {0.2, 5.04022E-2, 5.18492E-2, 5.48682E-2, 5. << 983   { 3.0E-2, 3.144E-1},
984   {0.3, 1.38018E-1, 1.41026E-1, 1.47244E-1, 1. << 984   { 2.0E-2, 2.854E-1},
985   {0.4, 2.56001E-1, 2.60576E-1, 2.69992E-1, 2. << 985   { 1.5E-2, 2.629E-1},
986   {0.5, 3.92181E-1, 3.98213E-1, 4.10597E-1, 4. << 986 
987   {0.6, 5.37913E-1, 5.45268E-1, 5.60350E-1, 5. << 987   { 1.0E-2, 2.298E-1},
988   {0.7, 6.87470E-1, 6.96021E-1, 7.13543E-1, 7. << 988   { 8.0E-3, 2.115E-1},
989   {0.8, 8.37159E-1, 8.46790E-1, 8.66525E-1, 8. << 989   { 6.0E-3, 1.883E-1},
990   {1.0, 1.12850, 1.14002, 1.16362, 1.18799, 1. << 990   { 5.0E-3, 1.741E-1},
991   {1.2, 1.40232, 1.41545, 1.44232, 1.47007, 1. << 991   { 4.0E-3, 1.574E-1},
992   {1.4, 1.65584, 1.67034, 1.70004, 1.73072, 1. << 992   { 3.0E-3, 1.372E-1},
993   {1.5, 1.77496, 1.79009, 1.82107, 1.85307, 1. << 993   { 2.0E-3, 1.116E-1},
994   {1.7, 1.99863, 2.01490, 2.04822, 2.08265, 2. << 994   { 1.5E-3, 9.559E-2},
995   {2.0, 2.29325, 2.31100, 2.34738, 2.38501, 2. << 995 
996   {3.0, 3.08887, 3.11036, 3.15445, 3.20013, 3. << 996   { 1.0E-3, 7.601E-2},
997   {5.0, 4.07599, 4.10219, 4.15606, 4.21199, 4. << 997   { 8.0E-4, 6.668E-2},
998   {7.0, 4.69647, 4.72577, 4.78608, 4.84877, 4. << 998   { 6.0E-4, 5.605E-2},
999   {10.0, 5.32590, 5.35848, 5.42560, 5.49547, 5 << 999   { 5.0E-4, 5.008E-2},
1000   };                                          << 1000   { 4.0E-4, 4.352E-2},
1001                                               << 1001   { 3.0E-4, 3.617E-2},
1002   const G4double bk2[29][11] = {              << 1002   { 2.0E-4, 2.768E-2},
1003   {0.005, 5.98040E-8, 7.25636E-8, 8.00602E-8, << 1003   { 1.5E-4, 2.279E-2},
1004   {0.007, 2.95345E-7, 3.56497E-7, 3.92247E-7, << 1004 
1005   {0.01, 1.55232E-6, 1.86011E-6, 2.03881E-6,  << 1005   { 1.0E-4, 1.723E-2},
1006   {0.015, 9.67802E-6, 1.14707E-5, 1.25008E-5, << 1006   { 8.0E-5, 1.473E-2},
1007   {0.02, 3.38425E-5, 3.97259E-5, 4.30763E-5,  << 1007   { 6.0E-5, 1.200E-2},
1008   {0.03, 1.81920E-4, 2.10106E-4, 2.25918E-4,  << 1008   { 5.0E-5, 1.052E-2},
1009   {0.04, 5.59802E-4, 6.38103E-4, 6.81511E-4,  << 1009   { 4.0E-5, 8.950E-3},
1010   {0.05, 1.28002E-3, 1.44336E-3, 1.53305E-3,  << 1010   { 3.0E-5, 7.246E-3},
1011   {0.06, 2.42872E-3, 2.72510E-3, 2.88111E-3,  << 1011   { 2.0E-5, 5.358E-3},
1012   {0.08, 6.35222E-3, 6.99730E-3, 7.34446E-3,  << 1012   { 1.5E-5, 4.313E-3},
1013   {0.1, 1.26929E-2, 1.38803E-2, 1.44371E-2, 1 << 1013   { 0.0, 3.166E-3}
1014   {0.15, 3.96872E-2, 4.24699E-2, 4.39340E-2,  << 1014   };
1015   {0.2, 8.15290E-2, 8.62830E-2, 8.87650E-2, 9 << 1015 
1016   {0.3, 1.99528E-1, 2.08471E-1, 2.13103E-1, 2 << 1016   for(i=0; i<104; i++) {
1017   {0.4, 3.47383E-1, 3.60369E-1, 3.67073E-1, 3 << 1017     ed[i] = nuca[i][0];
1018   {0.5, 5.11214E-1, 5.27935E-1, 5.36554E-1, 5 << 1018     a[i] = nuca[i][1];
1019   {0.6, 6.82122E-1, 7.02260E-1, 7.12631E-1, 7 << 1019   }
1020   {0.7, 8.54544E-1, 8.77814E-1, 8.89791E-1, 9 << 1020 
1021   {0.8, 1.02508, 1.05121, 1.06466, 1.07838, 1 << 1021   // Constants
1022   {1.0, 1.35307, 1.38429, 1.40036, 1.41676, 1 << 1022   theZieglerFactor = eV*cm2*1.0e-15 ; 
1023   {1.2, 1.65823, 1.69385, 1.71220, 1.73092, 1 << 1023   alpha2           = fine_structure_const*fine_structure_const;
1024   {1.4, 1.93902, 1.97852, 1.99887, 2.01964, 2 << 1024   lossFlucFlag     = true;
1025   {1.5, 2.07055, 2.11182, 2.13309, 2.15480, 2 << 1025 
1026   {1.7, 2.31700, 2.36154, 2.38451, 2.40798, 2 << 1026   // G.S. Khandelwal Nucl. Phys. A116(1968)97 - 111.
1027   {2.0, 2.64162, 2.69053, 2.71576, 2.74154, 2 << 1027   // "Shell corrections for K- and L- electrons
1028   {3.0, 3.51376, 3.57394, 3.60503, 3.63684, 3 << 1028   nK = 20;
1029   {5.0, 4.59935, 4.67433, 4.71316, 4.75293, 4 << 1029   nL = 26;
1030   {7.0, 5.28542, 5.37040, 5.41445, 5.45962, 5 << 1030   nEtaK = 29;
1031   {10.0, 5.98474, 6.08046, 6.13015, 6.18112,  << 1031   nEtaL = 28;
1032   };                                          << 1032 
1033                                               << 1033   const G4double d[11] = {0., 0., 0., 1.72, 2.09, 2.48, 2.82, 3.16, 3.53, 3.84, 4.15};
1034   const G4double bls1[28][10] = {             << 1034   const G4double thek[20] = {0.64, 0.65, 0.66, 0.68, 0.70, 0.72, 0.74, 0.75, 0.76, 0.78,
1035   {0.005, 2.4111E-4, 2.5612E-4, 2.7202E-4, 3. << 1035                              0.80, 0.82, 0.84, 0.85, 0.86, 0.88, 0.90, 0.92, 0.94, 0.95};
1036   {0.007, 6.3947E-4, 6.7058E-4, 7.0295E-4, 7. << 1036   const G4double sk[20] = {1.9477, 1.9232, 1.8996, 1.8550, 1.8137,
1037   {0.01, 1.5469E-3, 1.6036E-3, 1.6622E-3, 1.7 << 1037                            1.7754, 1.7396, 1.7223, 1.7063, 1.6752,
1038   {0.015, 3.7221E-3, 3.8404E-3, 3.9650E-3, 4. << 1038                            1.6461, 1.6189, 1.5933, 1.5811, 1.5693,
1039   {0.02, 6.9449E-3, 7.1910E-3, 7.4535E-3, 8.0 << 1039                            1.5467, 1.5254, 1.5053, 1.4863, 1.4772};
1040   {0.03, 1.7411E-2, 1.8180E-2, 1.8997E-2, 2.0 << 1040   const G4double tk[20] = {2.5222, 2.5125, 2.5026, 2.4821, 2.4608,
1041   {0.04, 3.8474E-2, 4.0056E-2, 4.1718E-2, 4.5 << 1041                            2.4388, 2.4163, 2.4044, 2.3933, 2.3701,
1042   {0.05, 6.7371E-2, 6.9928E-2, 7.2596E-2, 7.8 << 1042                            2.3466, 2.3229, 2.2992, 2.2872, 2.2753,
1043   {0.06, 1.0418E-1, 1.0778E-1, 1.1152E-1, 1.1 << 1043                            2.2515, 2.2277, 2.2040, 2.1804, 2.1686};
1044   {0.08, 1.9647E-1, 2.0217E-1, 2.0805E-1, 2.2 << 1044   const G4double uk[20] = {1.9999, 2.0134, 2.0258, 2.0478, 2.0662,
1045   {0.1, 3.0594E-1, 3.1361E-1, 3.2150E-1, 3.37 << 1045                            2.0817, 2.0945, 2.0999, 2.1049, 2.1132,
1046   {0.15, 6.1411E-1, 6.2597E-1, 6.3811E-1, 6.6 << 1046                            2.1197, 2.1246, 2.1280, 2.1292, 2.1301,
1047   {0.2, 9.3100E-1, 9.5614E-1, 9.7162E-1, 1.00 << 1047                            2.1310, 2.1310, 2.1300, 2.1283, 2.1271};
1048   {0.3, 1.5172, 1.5372, 1.5576, 1.5998, 1.643 << 1048   const G4double vk[20] = {8.3410, 8.3373, 8.3340, 8.3287, 8.3247,
1049   {0.4, 2.0173, 2.0408, 2.0647, 2.1142, 2.165 << 1049                            8.3219, 8.3201, 8.3194, 8.3191, 8.3188,
1050   {0.5, 2.3932, 2.4193, 2.4460, 2.5011, 2.558 << 1050                            8.3191, 8.3199, 8.3211, 8.3218, 8.3226,
1051   {0.6, 2.7091, 2.7374, 2.7663, 2.8260, 2.888 << 1051                            8.3244, 8.3264, 8.3285, 8.3308, 8.3320};
1052   {0.7, 2.9742, 3.0044, 3.0352, 3.0988, 3.165 << 1052 
1053   {0.8, 3.2222, 3.2539, 3.2863, 3.3532, 3.423 << 1053   for(i=0; i<11; i++) { ZD[i] = d[i];}
1054   {1.0, 3.6690, 3.7033, 3.7384, 3.8108, 3.886 << 1054 
1055   {1.2, 3.9819, 4.0183, 4.0555, 4.1324, 4.213 << 1055   for(i=0; i<nK; i++) {
1056   {1.4, 4.2745, 4.3127, 4.3517, 4.4324, 4.517 << 1056     TheK[i] = thek[i];
1057   {1.5, 4.4047, 4.4436, 4.4834, 4.5658, 4.652 << 1057     SK[i]   = sk[i];
1058   {1.7, 4.6383, 4.6787, 4.7200, 4.8054, 4.894 << 1058     TK[i]   = tk[i];
1059   {2.0, 4.9369, 4.9791, 5.0223, 5.1116, 5.205 << 1059     UK[i]   = uk[i];
1060   {3.0, 5.6514, 5.6981, 5.7459, 5.8450, 5.948 << 1060     VK[i]   = vk[i];
1061   {5.0, 6.4665, 6.5189, 6.5724, 6.6835, 6.800 << 1061   }
1062   {7.0, 6.8634, 6.9194, 6.9767, 7.0957, 7.220 << 1062 
1063   };                                          << 1063   const G4double thel[26] = {0.24, 0.26, 0.28, 0.30, 0.32,   0.34, 0.35, 0.36, 0.38, 0.40,
1064                                               << 1064                              0.42, 0.44, 0.45, 0.46, 0.48,   0.50, 0.52, 0.54, 0.55, 0.56,
1065   const G4double bls2[28][10] = {             << 1065                              0.58, 0.60, 0.62, 0.64, 0.65,   0.66};
1066   {0.005, 5.4561E-4, 6.0905E-4, 6.7863E-4, 7. << 1066   const G4double sl[26] = {15.3343, 13.9389, 12.7909, 11.8343, 11.0283,
1067   {0.007, 1.2068E-3, 1.3170E-3, 1.4377E-3, 1. << 1067                            10.3424, 10.0371,  9.7537,  9.2443,  8.8005,
1068   {0.01, 2.6832E-3, 2.9017E-3, 3.1534E-3, 3.4 << 1068          8.4114,  8.0683,   7.9117, 7.7641, 7.4931,
1069   {0.015, 6.2775E-3, 6.9077E-3, 7.6525E-3, 8. << 1069                            7.2506,  7.0327,   6.8362, 6.7452, 6.6584,
1070   {0.02, 1.2561E-2, 1.3943E-2, 1.5553E-2, 1.7 << 1070                            6.4969,  6.3498,   6.2154, 6.0923, 6.0345, 5.9792};
1071   {0.03, 3.3750E-2, 3.7470E-2, 4.1528E-2, 4.6 << 1071   const G4double tl[26] = {35.0669, 33.4344, 32.0073, 30.7466, 29.6226,
1072   {0.04, 6.9619E-2, 7.6098E-2, 8.3249E-2, 9.1 << 1072                            28.6128, 28.4149, 27.6991, 26.8674, 26.1061,
1073   {0.05, 1.1522E-1, 1.2470E-1, 1.3504E-1, 1.4 << 1073                            25.4058, 24.7587, 24.4531, 24.1583, 23.5992,
1074   {0.06, 1.6931E-1, 1.8179E-1, 1.9530E-1, 2.0 << 1074                            23.0771, 22.5880, 22.1285, 21.9090, 21.6958,
1075   {0.08, 2.9540E-1, 3.1361E-1, 3.3312E-1, 3.5 << 1075                            21.2872, 20.9006, 20.5341, 20.1859, 20.0183, 19.8546};
1076   {0.1,  4.3613E-1, 4.5956E-1,  4.852E-1, 5.1 << 1076   const G4double ul[26] = {0.1215, 0.5265, 0.8411, 1.0878, 1.2828,
1077   {0.15, 8.1014E-1, 8.4453E-1, 8.8093E-1, 9.1 << 1077                            1.4379, 1.5032, 1.5617, 1.6608, 1.7401,
1078   {0.2, 1.1888, 1.2319, 1.2774, 1.3255, 1.350 << 1078                            1.8036, 1.8543, 1.8756, 1.8945, 1.9262,
1079   {0.3, 1.8422, 1.8983, 1.9575, 2.0201, 2.052 << 1079                            1.9508, 1.9696, 1.9836, 1.9890, 1.9935,
1080   {0.4, 2.3984, 2.4642, 2.5336, 2.6070, 2.645 << 1080                            2.0001, 2.0039, 2.0053, 2.0049, 2.0040, 2.0028};  
1081   {0.5, 2.8181, 2.8915, 2.9690, 3.0509, 3.093 << 1081   for(i=0; i<nL; i++) {
1082   {0.6, 3.1698, 3.2494, 3.3336, 3.4226, 3.469 << 1082     TheL[i] = thel[i];
1083   {0.7, 3.4652, 3.5502, 3.6400, 3.7351, 3.784 << 1083     SL[i]   = sl[i];
1084   {0.8, 3.7392, 3.8289, 3.9236, 4.0239, 4.076 << 1084     TL[i]   = tl[i];
1085   {1.0, 4.2295, 4.3269, 4.4299, 4.5391, 4.596 << 1085     UL[i]   = ul[i];
1086   {1.2, 4.5777, 4.6814, 4.7912, 4.9076, 4.968 << 1086   }
1087   {1.4, 4.9001, 5.0092, 5.1247, 5.2473, 5.311 << 1087 
1088   {1.5, 5.0434, 5.1550, 5.2731, 5.3984, 5.464 << 1088   const G4double eta[29] = {0.005, 0.007, 0.01, 0.015, 0.02,
1089   {1.7, 5.3011, 5.4170, 5.5398, 5.6701, 5.737 << 1089                               0.03,  0.04,  0.05, 0.06,  0.08,
1090   {2.0, 5.6308, 5.7523, 5.8811, 6.0174, 6.089 << 1090                               0.1,   0.15,  0.2,  0.3,   0.4,
1091   {3.0, 6.4224, 6.5580, 6.7019, 6.8549, 6.935 << 1091                               0.5,   0.6,   0.7,  0.8,   1.0,
1092   {5.0, 7.3338, 7.4872, 7.6500, 7.8235, 7.914 << 1092                               1.2,   1.4,   1.5,  1.7,   2.0, 3.0, 5.0, 7.0, 10.};
1093   {7.0, 7.7938, 7.9588, 8.1342, 8.3211, 8.419 << 1093 
1094   };                                          << 1094   const G4double bk1[29][11] = { 
1095                                               << 1095   {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}, 
1096   const G4double bls3[28][9] = {              << 1096   {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}, 
1097   {0.005, 1.2895E-3, 1.3670E-3, 1.4524E-3, 1. << 1097   {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}, 
1098   {0.007, 2.6467E-3, 2.8242E-3, 3.0238E-3, 3. << 1098   {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}, 
1099   {0.01, 6.1472E-3, 6.6086E-3, 7.1246E-3, 8.3 << 1099   {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}, 
1100   {0.015, 1.63316E-2, 1.7572E-2, 1.8932E-2, 2 << 1100   {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}, 
1101   {0.02, 3.2634E-2, 3.4900E-2, 3.7348E-2, 4.2 << 1101   {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}, 
1102   {0.03, 7.9907E-2, 8.4544E-2, 8.9486E-2, 1.0 << 1102   {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}, 
1103   {0.04, 1.4523E-1, 1.5237E-1, 1.5985E-1, 1.7 << 1103   {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}, 
1104   {0.05, 2.2082E-1, 2.3036E-1, 2.4038E-1, 2.6 << 1104   {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}, 
1105   {0.06, 3.0423E-1, 3.1611E-1, 3.2854E-1, 3.5 << 1105   {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}, 
1106   {0.08, 4.8536E-1, 5.0156E-1, 5.1846E-1, 5.5 << 1106   {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}, 
1107   {0.1, 6.7586E-1, 6.9596E-1, 7.1688E-1, 7.61 << 1107   {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}, 
1108   {0.15, 1.1544, 1.1828, 1.2122, 1.2746, 1.34 << 1108   {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}, 
1109   {0.2, 1.6167, 1.6517, 1.6880, 1.7650, 1.848 << 1109   {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}, 
1110   {0.3, 2.3979, 2.4432, 2.4902, 2.5899, 2.698 << 1110   {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}, 
1111   {0.4, 3.0502, 3.1034, 3.1586, 3.2758, 3.403 << 1111   {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}, 
1112   {0.5, 3.5466, 3.6062, 3.6681, 3.7994, 3.942 << 1112   {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}, 
1113   {0.6, 3.9620, 4.0270, 4.0945, 4.2378, 4.393 << 1113   {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}, 
1114   {0.7, 4.3020, 4.3715, 4.4438, 4.5974, 4.764 << 1114   {1.0, 1.12850, 1.14002, 1.16362, 1.18799, 1.21317, 1.23921, 1.25257, 1.26616, 1.29408, 1.32303}, 
1115   {0.8, 4.6336, 4.7072, 4.7837, 4.9463, 5.123 << 1115   {1.2, 1.40232, 1.41545, 1.44232, 1.47007, 1.49875, 1.52842, 1.54364, 1.55913, 1.59095, 1.62396}, 
1116   {1.0, 5.2041, 5.2845, 5.3682, 5.5462, 5.740 << 1116   {1.4, 1.65584, 1.67034, 1.70004, 1.73072, 1.76244, 1.79526, 1.81210, 1.82925, 1.86448, 1.90104}, 
1117   {1.2, 5.6182, 5.7044, 5.7940, 5.9848, 6.192 << 1117   {1.5, 1.77496, 1.79009, 1.82107, 1.85307, 1.88617, 1.92042, 1.93800, 1.95590, 1.99269, 2.03087}, 
1118   {1.4, 5.9967, 6.0876, 6.1823, 6.3839, 6.603 << 1118   {1.7, 1.99863, 2.01490, 2.04822, 2.08265, 2.11827, 2.15555, 2.17409, 2.19337, 2.23302, 2.27419}, 
1119   {1.5, 6.1652, 6.2583, 6.3553, 6.5618, 6.787 << 1119   {2.0, 2.29325, 2.31100, 2.34738, 2.38501, 2.42395, 2.46429, 2.48401, 2.50612, 2.54955, 2.59468}, 
1120   {1.7, 6.4686, 6.5657, 6.6668, 6.8823, 7.117 << 1120   {3.0, 3.08887, 3.11036, 3.15445, 3.20013, 3.24748, 3.29664, 3.32192, 3.34770, 3.40081, 3.45611}, 
1121   {2.0, 6.8577, 6.9600, 7.0666, 7.2937, 7.541 << 1121   {5.0, 4.07599, 4.10219, 4.15606, 4.21199, 4.27010, 4.33056, 4.36172, 4.39353, 4.45918, 4.52772}, 
1122   {3.0, 7.7981, 7.9134, 8.0336, 8.2901, 8.570 << 1122   {7.0, 4.69647, 4.72577, 4.78608, 4.84877, 4.91402, 4.98200, 5.01707, 5.05290, 5.12695, 5.20436}, 
1123   {5.0, 8.8978, 9.0297, 9.1673, 9.4612, 9.783 << 1123   {10.0, 5.32590, 5.35848, 5.42560, 5.49547, 5.56830, 5.64429, 5.68353, 5.72366, 5.80666, 5.89359}
1124   {7.0, 9.4819, 9.6248, 9.7739, 10.0926, 10.4 << 1124   }; 
1125   };                                          << 1125 
1126                                               << 1126   const G4double bk2[29][11] = { 
1127   const G4double bll1[28][10] = {             << 1127   {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}, 
1128   {0.005, 3.6324E-5, 4.0609E-5, 4.5430E-5, 5. << 1128   {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}, 
1129   {0.007, 1.8110E-4, 2.0001E-4, 2.2099E-4, 2. << 1129   {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}, 
1130   {0.01, 8.6524E-4, 9.4223E-4, 1.0262E-3, 1.2 << 1130   {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}, 
1131   {0.015, 4.2293E-3, 4.5314E-3, 4.8551E-3, 5. << 1131   {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}, 
1132   {0.02, 1.1485E-2, 1.2172E-2, 1.2900E-2, 1.4 << 1132   {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}, 
1133   {0.03, 3.9471E-2, 4.1270E-2, 4.3149E-2, 4.7 << 1133   {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}, 
1134   {0.04, 8.4454E-2, 8.7599E-2, 9.0860E-2, 9.7 << 1134   {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}, 
1135   {0.05, 1.4339E-1, 1.4795E-1, 1.5266E-1, 1.6 << 1135   {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}, 
1136   {0.06, 2.1304E-1, 2.1899E-1, 2.2512E-1, 2.3 << 1136   {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}, 
1137   {0.08, 3.7382E-1, 3.8241E-1, 3.9122E-1, 4.0 << 1137   {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}, 
1138   {0.1, 5.5056E-1, 5.6151E-1, 5.7273E-1, 5.96 << 1138   {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}, 
1139   {0.15, 1.0066, 1.0224, 1.0386, 1.0721, 1.10 << 1139   {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}, 
1140   {0.2, 1.4376, 1.4572, 1.4773, 1.5188, 1.562 << 1140   {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}, 
1141   {0.3, 2.1712, 2.1964, 2.2223, 2.2758, 2.332 << 1141   {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}, 
1142   {0.4, 2.7500, 2.7793, 2.8094, 2.8719, 2.937 << 1142   {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}, 
1143   {0.5, 3.2033, 3.2359, 3.2693, 3.3389, 3.412 << 1143   {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}, 
1144   {0.6, 3.6038, 3.6391, 3.6753, 3.7506, 3.830 << 1144   {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}, 
1145   {0.7, 3.9106, 3.9482, 3.9867, 4.0670, 4.152 << 1145   {0.8, 1.02508, 1.05121, 1.06466, 1.07838, 1.10667, 1.13615, 1.16692, 1.19907, 1.21570, 1.23272}, 
1146   {0.8, 4.1790, 4.2185, 4.2590, 4.3437, 4.433 << 1146   {1.0, 1.35307, 1.38429, 1.40036, 1.41676, 1.45057, 1.48582, 1.52263, 1.56111, 1.58102, 1.60140}, 
1147   {1.0, 4.6344, 4.6772, 4.7212, 4.8131, 4.910 << 1147   {1.2, 1.65823, 1.69385, 1.71220, 1.73092, 1.76954, 1.80983, 1.85192, 1.89596, 1.91876, 1.94211}, 
1148   {1.2, 4.9787, 5.0242, 5.0711, 5.1689, 5.272 << 1148   {1.4, 1.93902, 1.97852, 1.99887, 2.01964, 2.06251, 2.10727, 2.15406, 2.20304, 2.22842, 2.25442}, 
1149   {1.4, 5.2688, 5.3166, 5.3658, 5.4687, 5.578 << 1149   {1.5, 2.07055, 2.11182, 2.13309, 2.15480, 2.19963, 2.24644, 2.29539, 2.34666, 2.37323, 2.40045}, 
1150   {1.5, 5.3966, 5.4454, 5.4957, 5.6009, 5.712 << 1150   {1.7, 2.31700, 2.36154, 2.38451, 2.40798, 2.45641, 2.50703, 2.56000, 2.61552, 2.64430, 2.67381}, 
1151   {1.7, 5.6255, 5.6762, 5.7284, 5.8377, 5.954 << 1151   {2.0, 2.64162, 2.69053, 2.71576, 2.74154, 2.79481, 2.85052, 2.90887, 2.97009, 3.00185, 3.03442}, 
1152   {2.0, 5.9170, 5.9701, 6.0248, 6.1395, 6.261 << 1152   {3.0, 3.51376, 3.57394, 3.60503, 3.63684, 3.70268, 3.77170, 3.84418, 3.92040, 3.96003, 4.00073}, 
1153   {3.0, 6.6210, 6.6801, 6.7411, 6.8692, 7.006 << 1153   {5.0, 4.59935, 4.67433, 4.71316, 4.75293, 4.83543, 4.92217, 5.01353, 5.10992, 5.16014, 5.21181}, 
1154   {5.0, 7.4620, 7.5288, 7.5977, 7.7428, 7.898 << 1154   {7.0, 5.28542, 5.37040, 5.41445, 5.45962, 5.55344, 5.65226, 5.79496, 5.90517, 5.96269, 6.02191}, 
1155   {7.0, 7.7362, 7.8079, 7.8821, 8.0383, 8.206 << 1155   {10.0, 5.98474, 6.08046, 6.13015, 6.18112, 6.28715, 6.39903, 6.51728, 6.64249, 6.70792, 6.77535}
1156   };                                          << 1156   }; 
1157                                               << 1157 
1158   const G4double bll2[28][10] = {             << 1158   const G4double bls1[28][10] = { 
1159   {0.005, 1.8339E-4, 2.3330E-4, 2.9738E-4, 3. << 1159   {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}, 
1160   {0.007, 7.5042E-4, 9.2355E-4, 1.1375E-3, 1. << 1160   {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}, 
1161   {0.01, 2.8829E-3, 3.4275E-3, 4.0758E-3, 4.8 << 1161   {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}, 
1162   {0.015, 1.1087E-2, 1.2716E-2, 1.4581E-2, 1. << 1162   {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}, 
1163   {0.02, 2.5786E-2, 2.8922E-2, 3.2435E-2, 3.6 << 1163   {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}, 
1164   {0.03, 7.3461E-2, 8.0264E-2, 8.7705E-2, 9.5 << 1164   {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}, 
1165   {0.04, 1.4094E-1, 1.5172E-1, 1.6336E-1, 1.7 << 1165   {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}, 
1166   {0.05, 2.2289E-1, 2.3762E-1, 2.5344E-1, 2.7 << 1166   {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}, 
1167   {0.06, 3.1503E-1, 3.3361E-1, 3.5346E-1, 3.7 << 1167   {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}, 
1168   {0.08, 5.1793E-1, 5.4368E-1, 5.7109E-1, 6.0 << 1168   {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}, 
1169   {0.1, 7.3258E-1, 7.6481E-1, 7.9907E-1, 8.35 << 1169   {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}, 
1170   {0.15, 1.2677, 1.3137, 1.3626, 1.4147, 1.44 << 1170   {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}, 
1171   {0.2, 1.7615, 1.8188, 1.8797, 1.9446, 1.978 << 1171   {0.2, 9.3100E-1, 9.5614E-1, 9.7162E-1, 1.0037, 1.0372, 1.0723, 1.1092, 1.1284, 1.1480}, 
1172   {0.3, 2.5909, 2.6658, 2.7457, 2.8312, 2.876 << 1172   {0.3, 1.5172, 1.5372, 1.5576, 1.5998, 1.6438, 1.6899, 1.7382, 1.7632, 1.7889}, 
1173   {0.4, 3.2417, 3.3302, 3.4249, 3.5266, 3.580 << 1173   {0.4, 2.0173, 2.0408, 2.0647, 2.1142, 2.1659, 2.2199, 2.2765, 2.3059, 2.3360}, 
1174   {0.5, 3.7527, 3.8523, 3.9591, 4.0741, 4.135 << 1174   {0.5, 2.3932, 2.4193, 2.4460, 2.5011, 2.5587, 2.6190, 2.6821, 2.7148, 2.7484}, 
1175   {0.6, 4.2013, 4.3103, 4.4274, 4.5537, 4.620 << 1175   {0.6, 2.7091, 2.7374, 2.7663, 2.8260, 2.8884, 2.9538, 3.0222, 3.0577, 3.0941}, 
1176   {0.7, 4.5493, 4.6664, 4.7925, 4.9286, 5.000 << 1176   {0.7, 2.9742, 3.0044, 3.0352, 3.0988, 3.1652, 3.2349, 3.3079, 3.3457, 3.3845}, 
1177   {0.8, 4.8537, 4.9780, 5.1119, 5.2568, 5.333 << 1177   {0.8, 3.2222, 3.2539, 3.2863, 3.3532, 3.4232, 3.4965, 3.5734, 3.6133, 3.6542}, 
1178   {1.0, 5.3701, 5.5066, 5.6540, 5.8138, 5.898 << 1178   {1.0, 3.6690, 3.7033, 3.7384, 3.8108, 3.8866, 3.9661, 4.0495, 4.0928, 4.1371}, 
1179   {1.2, 5.7648, 5.9114, 6.0701, 6.2424, 6.334 << 1179   {1.2, 3.9819, 4.0183, 4.0555, 4.1324, 4.2130, 4.2974, 4.3861, 4.4321, 4.4794}, 
1180   {1.4, 6.0976, 6.2530, 6.4214, 6.6044, 6.702 << 1180   {1.4, 4.2745, 4.3127, 4.3517, 4.4324, 4.5170, 4.6056, 4.6988, 4.7471, 4.7968}, 
1181   {1.5, 6.2447, 6.4041, 6.5768, 6.7647, 6.865 << 1181   {1.5, 4.4047, 4.4436, 4.4834, 4.5658, 4.6521, 4.7426, 4.8378, 4.8872, 4.9379}, 
1182   {1.7, 6.5087, 6.6752, 6.8558, 7.0526, 7.157 << 1182   {1.7, 4.6383, 4.6787, 4.7200, 4.8054, 4.8949, 4.9888, 5.0876, 5.1388, 5.1915}, 
1183   {2.0, 6.8458, 7.0218, 7.2129, 7.4213, 7.532 << 1183   {2.0, 4.9369, 4.9791, 5.0223, 5.1116, 5.2053, 5.3036, 5.4070, 5.4607, 5.5159}, 
1184   {3.0, 7.6647, 7.8644, 8.0819, 8.3189, 8.447 << 1184   {3.0, 5.6514, 5.6981, 5.7459, 5.8450, 5.9489, 6.0581, 6.1730, 6.2328, 6.2943}, 
1185   {5.0, 8.6515, 8.8816, 9.1330, 9.4090, 9.557 << 1185   {5.0, 6.4665, 6.5189, 6.5724, 6.6835, 6.8003, 6.9231, 7.0525, 7.1199, 7.1892}, 
1186   {7.0, 9.0221, 9.2724, 9.5464, 9.8477, 10.00 << 1186   {7.0, 6.8634, 6.9194, 6.9767, 7.0957, 7.2208, 7.3526, 7.4915, 7.5639, 7.6384}
1187   };                                          << 1187   };
1188                                               << 1188  
1189   const G4double bll3[28][9] = {              << 1189 
1190   {0.005, 1.3190E-3, 1.4961E-3, 1.6974E-3, 2. << 1190   const G4double bls2[28][10] = { 
1191   {0.007, 4.0158E-3, 4.4623E-3, 4.9592E-3, 6. << 1191   {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}, 
1192   {0.01, 1.1509E-2, 1.2548E-2, 1.3681E-2, 1.6 << 1192   {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}, 
1193   {0.015, 3.3070E-2, 3.5408E-2, 3.7914E-2, 4. << 1193   {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}, 
1194   {0.02, 6.4555E-2, 6.8394E-2, 7.2472E-2, 8.1 << 1194   {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}, 
1195   {0.03, 1.5030E-1, 1.5101E-1, 1.5844E-1, 1.7 << 1195   {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}, 
1196   {0.04, 2.5743E-1, 2.6774E-1, 2.7855E-1, 3.0 << 1196   {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}, 
1197   {0.05, 3.7846E-1, 3.9195E-1, 4.0607E-1, 4.3 << 1197   {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}, 
1198   {0.06, 5.0839E-1, 5.2497E-1, 5.4230E-1, 5.7 << 1198   {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}, 
1199   {0.08, 7.8230E-1, 8.0474E-1, 8.2818E-1, 8.7 << 1199   {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}, 
1200   {0.1, 1.0621, 1.0900, 1.1192, 1.1816, 1.250 << 1200   {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}, 
1201   {0.15, 1.7389, 1.7790, 1.8210, 1.9112, 2.01 << 1201   {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}, 
1202   {0.2, 2.3516, 2.4024, 2.4556, 2.5701, 2.697 << 1202   {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}, 
1203   {0.3, 3.3741, 3.4427, 3.5148, 3.6706, 3.844 << 1203   {0.2, 1.1888, 1.2319, 1.2774, 1.3255, 1.3506, 1.3765, 1.4308, 1.4886, 1.5504}, 
1204   {0.4, 4.1788, 4.2620, 4.3496, 4.5398, 4.753 << 1204   {0.3, 1.8422, 1.8983, 1.9575, 2.0201, 2.0528, 2.0864, 2.1569, 2.2319, 2.3120}, 
1205   {0.5, 4.8180, 4.9137, 5.0146, 5.2341, 5.481 << 1205   {0.4, 2.3984, 2.4642, 2.5336, 2.6070, 2.6452, 2.6847, 2.7674, 2.8554, 2.9494}, 
1206   {0.6, 5.3765, 5.4830, 5.5954, 5.8406, 6.117 << 1206   {0.5, 2.8181, 2.8915, 2.9690, 3.0509, 3.0937, 3.1378, 3.2301, 3.3285, 3.4337}, 
1207   {0.7, 5.8208, 5.9369, 6.0596, 6.3275, 6.630 << 1207   {0.6, 3.1698, 3.2494, 3.3336, 3.4226, 3.4691, 3.5171, 3.6175, 3.7246, 3.8391}, 
1208   {0.8, 6.2109, 6.3355, 6.4674, 6.7558, 7.082 << 1208   {0.7, 3.4652, 3.5502, 3.6400, 3.7351, 3.7848, 3.8360, 3.9433, 4.0578, 4.1804}, 
1209   {1.0, 6.8747, 7.0142, 7.1621, 7.4861, 7.854 << 1209   {0.8, 3.7392, 3.8289, 3.9236, 4.0239, 4.0764, 4.1304, 4.2438, 4.3648, 4.4944}, 
1210   {1.2, 7.3933, 7.5454, 7.7068, 8.0612, 8.465 << 1210   {1.0, 4.2295, 4.3269, 4.4299, 4.5391, 4.5962, 4.6551, 4.7786, 4.9106, 5.0520}, 
1211   {1.4, 7.8331, 7.9967, 8.1694, 8.5502, 8.985 << 1211   {1.2, 4.5777, 4.6814, 4.7912, 4.9076, 4.9685, 5.0314, 5.1633, 5.3043, 5.4555}, 
1212   {1.5, 8.0286, 8.1967, 8.3753, 8.7681, 9.218 << 1212   {1.4, 4.9001, 5.0092, 5.1247, 5.2473, 5.3114, 5.3776, 5.5166, 5.6653, 5.8249}, 
1213   {1.7, 8.3813, 8.5585, 8.7469, 9.1618, 9.636 << 1213   {1.5, 5.0434, 5.1550, 5.2731, 5.3984, 5.4640, 5.5317, 5.6739, 5.8260, 5.9893}, 
1214   {2.0, 8.8352, 9.0245, 9.2260, 9.6701, 10.17 << 1214   {1.7, 5.3011, 5.4170, 5.5398, 5.6701, 5.7373, 5.8088, 5.9568, 6.1152, 6.2853}, 
1215   {3.0, 9.9511, 10.1714, 10.4062, 10.9254, 11 << 1215   {2.0, 5.6308, 5.7523, 5.8811, 6.0174, 6.0896, 6.1636, 6.3192, 6.4857, 6.6647}, 
1216   {5.0, 11.3211, 11.5818, 11.8601, 12.4771, 1 << 1216   {3.0, 6.4224, 6.5580, 6.7019, 6.8549, 6.9351, 7.0180, 7.1925, 7.3795, 7.5808}, 
1217   {7.0, 11.9480, 12.2357, 12.5432, 13.2260, 1 << 1217   {5.0, 7.3338, 7.4872, 7.6500, 7.8235, 7.9146, 8.0087, 8.2071, 8.4200, 8.6496}, 
1218   };                                          << 1218   {7.0, 7.7938, 7.9588, 8.1342, 8.3211, 8.4193, 8.5209, 8.7350, 8.9651, 9.2133}
1219                                               << 1219   }; 
1220   G4double b, bs;                             << 1220  
1221   for(i=0; i<nEtaK; ++i) {                    << 1221   const G4double bls3[28][9] = { 
1222                                               << 1222   {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}, 
1223     G4double et = Eta[i];                     << 1223   {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}, 
1224     G4double loget = G4Log(et);               << 1224   {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}, 
1225                                               << 1225   {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}, 
1226     for(j=0; j<nK; ++j) {                     << 1226   {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}, 
1227                                               << 1227   {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}, 
1228       if(j < 10) { b = bk2[i][10-j]; }        << 1228   {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}, 
1229       else       { b = bk1[i][20-j]; }        << 1229   {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}, 
1230                                               << 1230   {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}, 
1231       CK[j][i] = SK[j]*loget + TK[j] - b;     << 1231   {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}, 
1232                                               << 1232   {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}, 
1233       if(i == nEtaK-1) {                      << 1233   {0.15, 1.1544, 1.1828, 1.2122, 1.2746, 1.3424, 1.4163, 1.4974, 1.5868}, 
1234         ZK[j] = et*(et*et*CK[j][i] - et*UK[j] << 1234   {0.2, 1.6167, 1.6517, 1.6880, 1.7650, 1.8484, 1.9394, 2.0390, 2.1489}, 
1235         //G4cout << "i= " << i << " j= " << j << 1235   {0.3, 2.3979, 2.4432, 2.4902, 2.5899, 2.6980, 2.8159, 2.9451, 3.0876}, 
1236         //       << " CK[j][i]= " <<  CK[j][i << 1236   {0.4, 3.0502, 3.1034, 3.1586, 3.2758, 3.4030, 3.5416, 3.6938, 3.8620}, 
1237         //       << " ZK[j]= " << ZK[j] << "  << 1237   {0.5, 3.5466, 3.6062, 3.6681, 3.7994, 3.9421, 4.0978, 4.2688, 4.4580}, 
1238       }                                       << 1238   {0.6, 3.9620, 4.0270, 4.0945, 4.2378, 4.3935, 4.5636, 4.7506, 4.9576}, 
1239     }                                         << 1239   {0.7, 4.3020, 4.3715, 4.4438, 4.5974, 4.7644, 4.9470, 5.1478, 5.3703}, 
1240     //G4cout << G4endl;                       << 1240   {0.8, 4.6336, 4.7072, 4.7837, 4.9463, 5.1233, 5.3169, 5.5300, 5.7661}, 
1241     if(i < nEtaL) {                           << 1241   {1.0, 5.2041, 5.2845, 5.3682, 5.5462, 5.7400, 5.9523, 6.1863, 6.4458}, 
1242       //G4cout << "  LShell:" <<G4endl;       << 1242   {1.2, 5.6182, 5.7044, 5.7940, 5.9848, 6.1927, 6.4206, 6.6719, 6.9510}, 
1243       for(j=0; j<nL; ++j) {                   << 1243   {1.4, 5.9967, 6.0876, 6.1823, 6.3839, 6.6038, 6.8451, 7.1113, 7.4071}, 
1244                                               << 1244   {1.5, 6.1652, 6.2583, 6.3553, 6.5618, 6.7871, 7.0344, 7.3073, 7.6107}, 
1245         if(j < 8) {                           << 1245   {1.7, 6.4686, 6.5657, 6.6668, 6.8823, 7.1175, 7.3757, 7.6609, 7.9782}, 
1246           bs = bls3[i][8-j];                  << 1246   {2.0, 6.8577, 6.9600, 7.0666, 7.2937, 7.5418, 7.8143, 8.1156, 8.4510}, 
1247           b  = bll3[i][8-j];                  << 1247   {3.0, 7.7981, 7.9134, 8.0336, 8.2901, 8.5708, 8.8796, 9.2214, 9.6027}, 
1248         } else if(j < 17) {                   << 1248   {5.0, 8.8978, 9.0297, 9.1673, 9.4612, 9.7834, 10.1384, 10.5323, 10.9722}, 
1249           bs = bls2[i][17-j];                 << 1249   {7.0, 9.4819, 9.6248, 9.7739, 10.0926, 10.4423, 10.8282, 11.2565, 11.7356}
1250           b  = bll2[i][17-j];                 << 1250   }; 
1251         } else {                              << 1251 
1252           bs = bls1[i][26-j];                 << 1252   const G4double bll1[28][10] = { 
1253           b  = bll1[i][26-j];                 << 1253   {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}, 
1254         }                                     << 1254   {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}, 
1255         G4double c = SL[j]*loget + TL[j];     << 1255   {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}, 
1256         CL[j][i] = c - bs - 3.0*b;            << 1256   {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}, 
1257         if(i == nEtaL-1) {                    << 1257   {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}, 
1258           VL[j] = et*(et*CL[j][i] - UL[j]);   << 1258   {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}, 
1259           //G4cout << "i= " << i << " j= " << << 1259   {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}, 
1260           //         << " CL[j][i]= " <<  CL[ << 1260   {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}, 
1261           //         << " VL[j]= " << VL[j] < << 1261   {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}, 
1262           //         << " et= " << et << G4en << 1262   {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}, 
1263           //" UL= " << UL[j] << " TL= " << TL << 1263   {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}, 
1264         }                                     << 1264   {0.15, 1.0066, 1.0224, 1.0386, 1.0721, 1.1073, 1.1443, 1.1832, 1.2035, 1.2243}, 
1265       }                                       << 1265   {0.2, 1.4376, 1.4572, 1.4773, 1.5188, 1.5624, 1.6083, 1.6566, 1.6817, 1.7076}, 
1266       //G4cout << G4endl;                     << 1266   {0.3, 2.1712, 2.1964, 2.2223, 2.2758, 2.3322, 2.3915, 2.4542, 2.4869, 2.5205}, 
1267     }                                         << 1267   {0.4, 2.7500, 2.7793, 2.8094, 2.8719, 2.9377, 3.0072, 3.0807, 3.1192, 3.1587}, 
1268   }                                           << 1268   {0.5, 3.2033, 3.2359, 3.2693, 3.3389, 3.4122, 3.4898, 3.5721, 3.6151, 3.6595}, 
1269                                               << 1269   {0.6, 3.6038, 3.6391, 3.6753, 3.7506, 3.8303, 3.9146, 4.0042, 4.0511, 4.0995}, 
1270   const G4double xzk[34] = { 11.7711,         << 1270   {0.7, 3.9106, 3.9482, 3.9867, 4.0670, 4.1520, 4.2421, 4.3380, 4.3882, 4.4401}, 
1271     13.3669, 15.5762, 17.1715, 18.7667, 20.85 << 1271   {0.8, 4.1790, 4.2185, 4.2590, 4.3437, 4.4333, 4.5285, 4.6298, 4.6830, 4.7380}, 
1272     34.3457, 37.4119, 40.3555, 42.3177, 44.77 << 1272   {1.0, 4.6344, 4.6772, 4.7212, 4.8131, 4.9106, 5.0144, 5.1250, 5.1831, 5.2432}, 
1273     60.9586, 63.6567, 66.5998, 68.807, 71.872 << 1273   {1.2, 4.9787, 5.0242, 5.0711, 5.1689, 5.2729, 5.3837, 5.5050, 5.5642, 5.6287}, 
1274                              93.4549, 96.2753 << 1274   {1.4, 5.2688, 5.3166, 5.3658, 5.4687, 5.5782, 5.6950, 5.8198, 5.8855, 5.9554}, 
1275   const G4double yzk[34] = { 0.70663,         << 1275   {1.5, 5.3966, 5.4454, 5.4957, 5.6009, 5.7128, 5.8323, 5.9601, 6.0274, 6.0972}, 
1276     0.72033, 0.73651, 0.74647, 0.75518, 0.763 << 1276   {1.7, 5.6255, 5.6762, 5.7284, 5.8377, 5.9541, 6.0785, 6.2116, 6.2818, 6.3546}, 
1277     0.80611, 0.8123, 0.8185, 0.82097, 0.82467 << 1277   {2.0, 5.9170, 5.9701, 6.0248, 6.1395, 6.2618, 6.3925, 6.5327, 6.6066, 6.6833}, 
1278     0.84565, 0.84936, 0.85181, 0.85303, 0.855 << 1278   {3.0, 6.6210, 6.6801, 6.7411, 6.8692, 7.0062, 7.1529, 7.3107, 7.3941, 7.4807}, 
1279                              0.86891, 0.87011 << 1279   {5.0, 7.4620, 7.5288, 7.5977, 7.7428, 7.8982, 8.0653, 8.2454, 8.3409, 8.4402}, 
1280                                               << 1280   {7.0, 7.7362, 7.8079, 7.8821, 8.0383, 8.2061, 8.3866, 8.5816, 8.6850, 8.7927}
1281   const G4double xzl[36] = { 15.5102,         << 1281   }; 
1282     16.7347, 17.9592, 19.551, 21.0204, 22.612 << 1282 
1283     34.4898, 36.2041, 38.4082, 40.3674, 42.57 << 1283   const G4double bll2[28][10] = { 
1284     59.3469, 61.9184, 64.6122, 67.4286, 71.46 << 1284   {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}, 
1285                              91.551, 94.2449, << 1285   {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}, 
1286   const G4double yzl[36] = { 0.29875,         << 1286   {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}, 
1287     0.31746, 0.33368, 0.35239, 0.36985, 0.387 << 1287   {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}, 
1288     0.4896, 0.50083, 0.51331, 0.52328, 0.5307 << 1288   {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}, 
1289     0.58191, 0.5869, 0.59189, 0.60062, 0.6068 << 1289   {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}, 
1290                               0.6368, 0.64054 << 1290   {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}, 
1291                                               << 1291   {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}, 
1292   sThetaK = new G4PhysicsFreeVector(34, false << 1292   {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}, 
1293   for(i=0; i<34; ++i) { sThetaK->PutValues(i, << 1293   {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}, 
1294   sThetaL = new G4PhysicsFreeVector(36, false << 1294   {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}, 
1295   for(i=0; i<36; ++i) { sThetaL->PutValues(i, << 1295   {0.15, 1.2677, 1.3137, 1.3626, 1.4147, 1.4421, 1.4703, 1.5300, 1.5942, 1.6636}, 
1296 }                                             << 1296   {0.2, 1.7615, 1.8188, 1.8797, 1.9446, 1.9788, 2.0142, 2.0889, 2.1694, 2.2567}, 
1297                                               << 1297   {0.3, 2.5909, 2.6658, 2.7457, 2.8312, 2.8762, 2.9231, 3.0222, 3.1295, 3.2463}, 
1298 //....oooOO0OOooo........oooOO0OOooo........o << 1298   {0.4, 3.2417, 3.3302, 3.4249, 3.5266, 3.5803, 3.6361, 3.7546, 3.8835, 4.0242}, 
1299                                               << 1299   {0.5, 3.7527, 3.8523, 3.9591, 4.0741, 4.1350, 4.1983, 4.3330, 4.4799, 4.6408}, 
                                                   >> 1300   {0.6, 4.2013, 4.3103, 4.4274, 4.5537, 4.6206, 4.6904, 4.8390, 5.0013, 5.1796}, 
                                                   >> 1301   {0.7, 4.5493, 4.6664, 4.7925, 4.9286, 5.0009, 5.0762, 5.2370, 5.4129, 5.6066}, 
                                                   >> 1302   {0.8, 4.8537, 4.9780, 5.1119, 5.2568, 5.3338, 5.4141, 5.5857, 5.7738, 5.9811}, 
                                                   >> 1303   {1.0, 5.3701, 5.5066, 5.6540, 5.8138, 5.8989, 5.9878, 6.1780, 6.3870, 6.6179}, 
                                                   >> 1304   {1.2, 5.7648, 5.9114, 6.0701, 6.2424, 6.3343, 6.4303, 6.6361, 6.8626, 7.1137}, 
                                                   >> 1305   {1.4, 6.0976, 6.2530, 6.4214, 6.6044, 6.7021, 6.8043, 7.0237, 7.2655, 7.5338}, 
                                                   >> 1306   {1.5, 6.2447, 6.4041, 6.5768, 6.7647, 6.8650, 6.9700, 7.1954, 7.4442, 7.7203}, 
                                                   >> 1307   {1.7, 6.5087, 6.6752, 6.8558, 7.0526, 7.1578, 7.2679, 7.5045, 7.7660, 8.0565}, 
                                                   >> 1308   {2.0, 6.8458, 7.0218, 7.2129, 7.4213, 7.5328, 7.6496, 7.9010, 8.1791, 8.4886}, 
                                                   >> 1309   {3.0, 7.6647, 7.8644, 8.0819, 8.3189, 8.4475, 8.5814, 8.8702, 9.1908, 9.5488}, 
                                                   >> 1310   {5.0, 8.6515, 8.8816, 9.1330, 9.4090, 9.5572, 9.7132, 10.0504, 10.4259, 10.8466}, 
                                                   >> 1311   {7.0, 9.0221, 9.2724, 9.5464, 9.8477, 10.0099, 10.1805, 10.5499, 10.9622, 11.4250}
                                                   >> 1312   }; 
                                                   >> 1313 
                                                   >> 1314   const G4double bll3[28][9] = { 
                                                   >> 1315   {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}, 
                                                   >> 1316   {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}, 
                                                   >> 1317   {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}, 
                                                   >> 1318   {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}, 
                                                   >> 1319   {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}, 
                                                   >> 1320   {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}, 
                                                   >> 1321   {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}, 
                                                   >> 1322   {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}, 
                                                   >> 1323   {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}, 
                                                   >> 1324   {0.08, 7.8230E-1, 8.0474E-1, 8.2818E-1, 8.7836E-1, 9.3355E-1, 9.9462E-1, 1.0627, 1.1394}, 
                                                   >> 1325   {0.1, 1.0621, 1.0900, 1.1192, 1.1816, 1.2503, 1.3265, 1.4116, 1.5076}, 
                                                   >> 1326   {0.15, 1.7389, 1.7790, 1.8210, 1.9112, 2.0108, 2.1217, 2.2462, 2.3876}, 
                                                   >> 1327   {0.2, 2.3516, 2.4024, 2.4556, 2.5701, 2.6971, 2.8391, 2.9994, 3.1822}, 
                                                   >> 1328   {0.3, 3.3741, 3.4427, 3.5148, 3.6706, 3.8445, 4.0404, 4.2631, 4.5193}, 
                                                   >> 1329   {0.4, 4.1788, 4.2620, 4.3496, 4.5398, 4.7530, 4.9944, 5.2703, 5.5895}, 
                                                   >> 1330   {0.5, 4.8180, 4.9137, 5.0146, 5.2341, 5.4811, 5.7618, 6.0840, 6.4583}, 
                                                   >> 1331   {0.6, 5.3765, 5.4830, 5.5954, 5.8406, 6.1173, 6.4326, 6.7958, 7.2191}, 
                                                   >> 1332   {0.7, 5.8208, 5.9369, 6.0596, 6.3275, 6.6306, 6.9769, 7.3767, 7.8440}, 
                                                   >> 1333   {0.8, 6.2109, 6.3355, 6.4674, 6.7558, 7.0827, 7.4570, 7.8900, 8.3972}, 
                                                   >> 1334   {1.0, 6.8747, 7.0142, 7.1621, 7.4861, 7.8546, 8.2778, 8.7690, 9.3464}, 
                                                   >> 1335   {1.2, 7.3933, 7.5454, 7.7068, 8.0612, 8.4652, 8.9302, 9.4713, 10.1090}, 
                                                   >> 1336   {1.4, 7.8331, 7.9967, 8.1694, 8.5502, 8.9851, 9.4866, 10.0713, 10.7619}, 
                                                   >> 1337   {1.5, 8.0286, 8.1967, 8.3753, 8.7681, 9.2181, 9.7352, 10.3399, 11.0546}, 
                                                   >> 1338   {1.7, 8.3813, 8.5585, 8.7469, 9.1618, 9.6367, 10.1856, 10.8270, 11.5863}, 
                                                   >> 1339   {2.0, 8.8352, 9.0245, 9.2260, 9.6701, 10.1793, 10.7688, 11.4590, 12.2775}, 
                                                   >> 1340   {3.0, 9.9511, 10.1714, 10.4062, 10.9254, 11.5229, 12.2172, 13.0332, 14.0048}, 
                                                   >> 1341   {5.0, 11.3211, 11.5818, 11.8601, 12.4771, 13.1898, 14.0213, 15.0024, 16.1752}, 
                                                   >> 1342   {7.0, 11.9480, 12.2357, 12.5432, 13.2260, 14.0164, 14.9404, 16.0330, 17.3420}
                                                   >> 1343   };
                                                   >> 1344 
                                                   >> 1345                              
                                                   >> 1346   G4double b, bs; 
                                                   >> 1347   for(i=0; i<nEtaK; i++) {
                                                   >> 1348 
                                                   >> 1349     G4double et = eta[i];
                                                   >> 1350     G4double loget = std::log(et);
                                                   >> 1351     Eta[i] = et;
                                                   >> 1352     // G4cout << "### eta[" << i << "]= " << et << "  KShell: tet= " << TheK[0]<<" - " <<TheK[nK-1]<< G4endl;
                                                   >> 1353 
                                                   >> 1354     for(j=0; j<nK; j++) {
                                                   >> 1355 
                                                   >> 1356       if(j < 10) b = bk2[i][10-j];
                                                   >> 1357       else       b = bk1[i][20-j];
                                                   >> 1358 
                                                   >> 1359       CK[j][i] = SK[j]*loget + TK[j] - b;
                                                   >> 1360       //G4cout << " " << CK[j][i];
                                                   >> 1361       if(i == nEtaK-1) ZK[j] = et*(et*et*CK[j][i] - et*UK[j] - VK[j]); 
                                                   >> 1362     }
                                                   >> 1363     //G4cout << G4endl;
                                                   >> 1364     if(i < nEtaL) {
                                                   >> 1365       //G4cout << "  LShell:" <<G4endl;
                                                   >> 1366       for(j=0; j<nL; j++) {
                                                   >> 1367 
                                                   >> 1368         if(j < 8) {
                                                   >> 1369           bs = bls3[i][8-j];
                                                   >> 1370           b  = bll3[i][8-j];
                                                   >> 1371         } else if(j < 17) {
                                                   >> 1372           bs = bls2[i][17-j];
                                                   >> 1373           b  = bll2[i][17-j];
                                                   >> 1374         } else {
                                                   >> 1375           bs = bls1[i][26-j];
                                                   >> 1376           b  = bll1[i][26-j];
                                                   >> 1377   }
                                                   >> 1378   G4double c = SL[j]*loget + TL[j]; 
                                                   >> 1379         CL[j][i] = c - bs - 3.0*b;
                                                   >> 1380         //G4cout << " " << CL[j][i];
                                                   >> 1381         if(i == nEtaL-1) VL[j] = et*(et*CL[j][i] - UL[j]); 
                                                   >> 1382       }
                                                   >> 1383       //G4cout << G4endl;
                                                   >> 1384     }
                                                   >> 1385   }
                                                   >> 1386   const G4double hm[53] = {
                                                   >> 1387     12.0, 12.0, 12.0, 12.0, 11.9, 11.7, 11.5, 11.2, 10.8, 10.4,
                                                   >> 1388     10.0,  9.51, 8.97, 8.52, 8.03, 7.46, 6.95, 6.53, 6.18, 5.87, 
                                                   >> 1389     5.61,  5.39, 5.19, 5.01, 4.86, 4.72, 4.62, 4.53, 4.44, 4.38, 
                                                   >> 1390     4.32,  4.26, 4.20, 4.15, 4.1,  4.04, 4.00, 3.95, 3.93, 3.91, 
                                                   >> 1391     3.90,  3.89, 3.89, 3.88, 3.88, 3.88, 3.88, 3.88, 3.89, 3.89, 
                                                   >> 1392     3.90, 3.92, 3.93 };
                                                   >> 1393   const G4double hn[31] = {
                                                   >> 1394     75.5, 61.9, 52.2, 45.1, 39.6, 35.4, 31.9, 29.1, 27.2, 25.8, 
                                                   >> 1395     24.5, 23.6, 22.7, 22.0, 21.4, 20.9, 20.5, 20.2, 19.9, 19.7, 
                                                   >> 1396     19.5, 19.3, 19.2, 19.1, 18.4, 18.8, 18.7, 18.6, 18.5, 18.4, 
                                                   >> 1397     18.2
                                                   >> 1398   };
                                                   >> 1399   for(i=0; i<53; i++) {HM[i] = hm[i];}
                                                   >> 1400   for(i=0; i<31; i++) {HN[i] = hn[i];}
                                                   >> 1401 
                                                   >> 1402   const G4double mm[93] = {
                                                   >> 1403      0.0,
                                                   >> 1404      /*
                                                   >> 1405  -0.0001577, 5.396e-05, 0.0004194, -0.0001969, -0.0003447, -0.0001904, 9.612e-05, 4.16e-05, 0.0001899, 0.0001322,
                                                   >> 1406  0.0001485, 4.698e-05, -7.726e-05, -6.448e-05, 3.269e-05, -0.0001293, 0.0001483, -8.559e-05, 4.018e-05, 6.239e-05,
                                                   >> 1407  4.447e-05, 2.212e-05, -5.568e-06, 3.782e-05, 4.398e-05, 8.942e-05, 0.0002202, 0.0001357, 0.0001195, 0.0001812,
                                                   >> 1408  0.0002365, 4.508e-05, 0.0001629, 7.75e-05, 0.0001886, 0.0001601, 0.00015, 5.679e-05, 5.956e-06, -7.309e-05,
                                                   >> 1409  -0.0001144, -8.585e-05, -0.0001051, -8.209e-05, -5.871e-05, -3.744e-05, -6.707e-05, -9.199e-06, 1.181e-05, 2.252e-05,
                                                   >> 1410  1.051e-05, 7.63e-05, 1.71e-05, 1.705e-05, 1.561e-05, 8.987e-06, 4.957e-06, -1.473e-05, -1.902e-05, -1.491e-05,
                                                   >> 1411  -9.891e-08, 2.584e-05, 3.696e-05, 8.651e-06, -3.601e-06, 1.647e-05, 4.536e-05, 9.954e-05, 8.922e-05, 0.0001026,
                                                   >> 1412  4.094e-05, 3.788e-05, 1.578e-05, 2.731e-05, -6.035e-05, -9.112e-05, -8.846e-05, -0.0001361, -0.0001959, -0.0001883,
                                                   >> 1413  -0.0002854, -0.0004129, -0.0004611, -0.0005523, -0.0005869, -0.0005008, -0.000659, -0.0007045, -0.0007322, -0.0008374,
                                                   >> 1414  -0.0008731, -0.0009327,
                                                   >> 1415      
                                                   >> 1416  -0.0003427, -4.685e-05, 0.0007304, -0.0003158, -0.0004104, -0.001133, -0.0007987, -0.0001528, 8.976e-05, 8.63e-05,
                                                   >> 1417  1.764e-05, -0.000136, -0.0002895, -0.0002618, -0.0002878, -0.0003813, 1.417e-05, -0.0004216, -0.0003859, -0.0001028,
                                                   >> 1418  -0.0001617, -0.0002141, -0.0002178, 5.59e-05, 9.964e-07, 7.528e-05, 0.0002261, 4.241e-05, 0.0005255, 0.0002139,
                                                   >> 1419  -5.821e-05, -2.661e-05, 0.0001039, 3.359e-05, 0.0004229, -0.0004872, 0.0001374, -2.79e-05, -1.319e-05, -0.0001077,
                                                   >> 1420  -0.0001923, -0.0001189, -0.0001091, -8.486e-05, 7.506e-05, 0.0001053, 0.0004596, 0.000177, 4.805e-05, 3.97e-05,
                                                   >> 1421  0.0004008, 0.0002194, 0.0001639, 0.0003285, 0.000219, 0.0001339, 6.323e-05, 2.013e-05, 2.568e-05, 4.346e-05,
                                                   >> 1422  8.455e-05, 8.785e-05, 0.0001393, 9.907e-05, 0.0001003, 0.0001508, 0.0002189, 0.0003885, 0.0003603, 0.0003839,
                                                   >> 1423  0.0003321, 0.0002207, 0.0001627, 0.0002282, 0.0002177, 0.0002156, 0.0002855, 0.0002361, 0.0007735, 0.0001157,
                                                   >> 1424  -0.0001214, -0.0002944, -0.0003193, -0.0004025, -0.0002436, -7.573e-05, -0.0003741, -0.0003678, -0.0004839, -0.0003934,
                                                   >> 1425  -0.0005817, -0.000726,
                                                   >> 1426 
                                                   >> 1427  -118, 40.37, 313.8, -147.3, -257.9, -142.4, 71.91, 31.12, 142.1, 98.92,
                                                   >> 1428  112.3, 41.36, -47.15, -17.84, 46.46, -66.91, 141.3, -19.96, 84.66, 110.2,
                                                   >> 1429  113.2, 108.7, 92.89, 127.3, 139.3, 187, 288.5, 233.4, 225.3, 284.6,
                                                   >> 1430  344.5, 246.2, 359.7, 324.1, 455, 457.1, 481, 459.8, 447.9, 407.5,
                                                   >> 1431  399.7, 457.7, 470.4, 511.8, 545.9, 581, 574.1, 638.6, 685.6, 719.6,
                                                   >> 1432  740.8, 817.2, 808.3, 839.7, 866.2, 873.2, 879.3, 886.3, 902, 912.7,
                                                   >> 1433  927.7, 942.1, 967.1, 962.2, 961.8, 993.4, 1006, 1060, 1046, 1061,
                                                   >> 1434  1036, 1060, 1062, 1084, 1048, 1063, 1098, 1093, 1089, 1117,
                                                   >> 1435  1085, 1044, 1033, 1027, 1051, 1150, 1064, 1078, 1090, 1140,
                                                   >> 1436  1119, 1097,
                                                   >> 1437 */
                                                   >> 1438 
                                                   >> 1439  -511.3, -69.91, 1090, -471.2, -612.4, -1690, -1192, -228, 133.9, 128.8,
                                                   >> 1440  28.71, -190.6, -408.7, -326.6, -378.5, -507.3, 93.63, -531, -459.2, -21.83,
                                                   >> 1441  -74.93, -121.7, -122.8, 285.2, 217.4, 366.3, 598.7, 341.8, 1078, 634.2,
                                                   >> 1442  280.5, 430.7, 663.5, 596.4, 1307, 6.814, 992.6, 887, 967.6, 868,
                                                   >> 1443  775.9, 1034, 1050, 1204, 1458, 1541, 2186, 1806, 1676, 1718,
                                                   >> 1444  2416, 2204, 2197, 2496, 2371, 2370, 2330, 2318, 2379, 2434,
                                                   >> 1445  2513, 2533, 2650, 2650, 2684, 2788, 2868, 3157, 3150, 3196,
                                                   >> 1446  3162, 3055, 3008, 3133, 3176, 3212, 3356, 3324, 4170, 3320,
                                                   >> 1447  3109, 2941, 2973, 2858, 3088, 3447, 3134, 3121, 3086, 3199,
                                                   >> 1448  3115, 2979,
                                                   >> 1449 
                                                   >> 1450   };
                                                   >> 1451 
                                                   >> 1452   const G4double ntau[93] = {
                                                   >> 1453      0.0,
                                                   >> 1454  -251.1, 512.8, 1724, 649, 658.8, 594.1, 946.6, 969.2, 1154, 997.8,
                                                   >> 1455  939.3, 775.5, 619.9, 848.3, 973.4, 1035, 1252, 698.8, 1043, 1080,
                                                   >> 1456  957, 885.6, 772.1, 847.1, 799.7, 901.7, 1042, 880.8, 857.7, 968,
                                                   >> 1457  850.4, 482.8, 781.4, 685, 1093, 847.4, 824.4, 751.5, 638, 489.2,
                                                   >> 1458  266.5, 371, 319.2, 356.6, 424.9, 405, 390.8, 610.6, 404.3, 444.6,
                                                   >> 1459  439, 579, 466.4, 520.5, 551.1, 441.6, 328.8, 264.3, 260.9, 274,
                                                   >> 1460  264.8, 235.1, 290, 196, 178.2, 248.4, 224.3, 268.2, 239.5, 253.9,
                                                   >> 1461  219.2, 172.7, 169.5, 199, 53.35, 65.78, 120.2, 77.13, 32.76, 45.53,
                                                   >> 1462  -148, -331.4, -386.4, -430.8, -361.1, -108.3, -382.4, -400.1, -458.4, -430.8,
                                                   >> 1463  -536.9, -627.6,
                                                   >> 1464   };
                                                   >> 1465 
                                                   >> 1466   for(i=0; i<93; i++) {
                                                   >> 1467     MSH[i] = mm[i];
                                                   >> 1468     TAU[i] = ntau[i];
                                                   >> 1469   }
                                                   >> 1470   const G4double coseb[14] = {0.0,0.05,0.1,0.15,0.2,0.3,0.4,0.5,0.6,0.8,
                                                   >> 1471                               1.0,1.2,1.5,2.0};
                                                   >> 1472   const G4double cosxi[14] = {1.0000, 0.9905, 0.9631, 0.9208, 0.8680,
                                                   >> 1473                               0.7478, 0.6303, 0.5290, 0.4471, 0.3323,
                                                   >> 1474                               0.2610, 0.2145, 0.1696, 0.1261};
                                                   >> 1475   for(i=0; i<14; i++) {
                                                   >> 1476     COSEB[i] = coseb[i];
                                                   >> 1477     COSXI[i] = cosxi[i];
                                                   >> 1478   }
                                                   >> 1479 
                                                   >> 1480   for(i=1; i<100; i++) {
                                                   >> 1481     Z23[i] = std::pow(G4double(i),0.23);
                                                   >> 1482   }
                                                   >> 1483 }
                                                   >> 1484 
                                                   >> 1485 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
                                                   >> 1486 
1300                                                  1487