1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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4 | // * * |
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5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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7 | // * conditions of the Geant4 Software License, included in the file * |
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8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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9 | // * include a list of copyright holders. * |
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10 | // * * |
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11 | // * Neither the authors of this software system, nor their employing * |
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12 | // * institutes,nor the agencies providing financial support for this * |
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13 | // * work make any representation or warranty, express or implied, * |
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14 | // * regarding this software system or assume any liability for its * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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16 | // * for the full disclaimer and the limitation of liability. * |
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17 | // * * |
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18 | // * This code implementation is the result of the scientific and * |
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19 | // * technical work of the GEANT4 collaboration. * |
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20 | // * By using, copying, modifying or distributing the software (or * |
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21 | // * any work based on the software) you agree to acknowledge its * |
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22 | // * use in resulting scientific publications, and indicate your * |
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23 | // * acceptance of all terms of the Geant4 Software license. * |
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24 | // ******************************************************************** |
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25 | // |
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26 | // |
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27 | // G4 Tools program: PhotoNuclearCalculation of gamma+A cross sections |
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28 | // according to the paper M.V.Kossov "Approximation of photonuclear |
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29 | // interaction cross sections" (EPJA,2002, be published). The cross |
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30 | // sections are calculated according to the exact complicated formulas |
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31 | // and tabulated for the fast response. The total energy range is |
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32 | // subdivided in three regions: |
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33 | // a) The GDR region (from the hadron production threshold to 106 MeV) |
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34 | // covering 46 nuclei: H2,He4,Li6,Li7,Be9,C12,N14,N15,O16,F19,Na23, |
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35 | // Mg24,Al27,Si28,S32,S34,(Ar40,Ca40),Fe54,Mn55,Fe56,Ni58,Co59,Cu,Zn |
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36 | // Se76,Se82,Ag,Cd,Sn,I,Sm154,Gd156,Tb159,Ho165,Er168,Yb174,Hf178,Hf180, |
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37 | // Ta181,W184,W186,Au197,Tl,Pb,Bi209,Th232,U235,U238,Pu239. For these |
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38 | // isotops the approximation fits the existing measurements. For |
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39 | // them the basic functions are calculated. For other isotops the |
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40 | // approximation is interpolated linearly with A. |
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41 | // b) The resonance region (from 106 MeV to 50 GeV) |
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42 | // covering 14 nuclei: H1,H2,He3,He4,Li6,Li7,Be,C,O,Al,Cu,Sn,Pb,U. |
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43 | // For these isotops the melting of resonances in nuclear matter is |
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44 | // measured and approximated. For them the basic functions are |
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45 | // calculated. For other isotops the approximation is interpolated |
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46 | // linearly with A. |
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47 | // c) The high energy region is an A-dependent function for E>100 GeV, |
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48 | // taking into account nuclear shaddowing. |
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49 | // ..................................................... |
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50 | // Created: M.V. Kossov, CERN/ITEP(Moscow), 10-May-02 |
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51 | // The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02 |
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52 | // |
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53 | //===================================================================== |
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54 | #include "globals.hh" |
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55 | #include <iostream> |
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56 | #include <fstream> |
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57 | #include <vector> |
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58 | #include "G4ios.hh" |
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59 | |
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60 | int main() |
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61 | { |
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62 | const G4int mN=49; // A#of GDR basic nuclei |
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63 | const G4int mC=105; // A#of Resonance points in E (each MeV from 2 to 106) |
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64 | const G4double mA[mN]={ |
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65 | 2.,4.,6.,7.,9.,12.,14.,15.,16.,19.,23.,24.,27.,28.,32.,34.,40.,54., |
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66 | 55.,56.,58.7,58.9,63.5,65.4,76.,82.,107.9,112.4,118.7,126.9,154.,156.,159.,165., |
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67 | 168.,174.,178.,180.,181.,184.,186.,197.,204.4,207.2,209.,232.,235., |
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68 | 238.,239.}; |
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69 | const G4int nN=14; // A#of Resonance basic nuclei |
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70 | const G4int nC=224; // A#of Resonance points in lnE |
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71 | const G4double nA[nN]={1.,2.,3.,4.,6.,7.,9.,12.,16.,27.,63.5,118.7,207.2,238.}; |
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72 | const G4double r4[6]={0.,3.38,3.51,3.23,3.57,3.60}; |
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73 | const G4double t4[6]={0.,3.14,3.09,2.80,3.25,3.17}; |
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74 | const G4double r8[mN]={ |
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75 | 0.00,0.00,0.00,2.57,3.26,3.52,3.51,3.51,3.49,3.05,3.20,3.25,3.40,3.42,3.38,3.50,3.51, |
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76 | 3.59,3.45,3.46,3.52,3.56,3.40,3.40,3.29,3.38,3.50,3.49,3.41,3.46,3.40,3.37,3.40,3.29, |
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77 | 3.37,3.21,3.45,3.45,3.39,3.36,3.36,3.39,3.47,3.40,3.36,3.31,3.30,3.37,3.36}; |
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78 | const G4double t8[mN]={ |
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79 | 0.00,0.00,0.00,2.48,3.05,3.11,3.09,3.08,3.10,2.70,2.90,2.95,3.00,2.97,2.98,3.00,3.05, |
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80 | 2.94,2.93,2.86,2.99,3.01,2.85,2.84,2.72,2.76,2.81,2.77,2.72,2.75,2.78,2.74,2.72,2.72, |
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81 | 2.70,2.74,2.70,2.70,2.64,2.63,2.61,2.59,2.63,2.57,2.63,2.62,2.62,2.67,2.65}; |
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82 | const G4double iE=std::log(106.); // Start logarithm energy |
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83 | const G4double fE=std::log(50000.); // Finish logarithm energy (each 2.75 percent) |
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84 | const G4double dE=(fE-iE)/(nC-1); // Step in logarithm energy |
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85 | std::ofstream fileGDR("GDR.out", std::ios::out); |
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86 | fileGDR.setf( std::ios::scientific, std::ios::floatfield ); |
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87 | std::ofstream fileRes("Res.out", std::ios::out); |
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88 | fileRes.setf( std::ios::scientific, std::ios::floatfield ); |
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89 | G4int np=0; |
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90 | for(G4int m=0; m<mN; m++) |
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91 | { |
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92 | G4double A=mA[m]; |
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93 | G4double lnA=std::log(A); |
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94 | G4double A2=A*A; |
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95 | G4double red=1.+16/A2/A2; |
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96 | G4double rho1=(3.2+.75*lnA)/red; |
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97 | G4double tau1=(6.6-.5*lnA)/red; |
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98 | if(A==2.) |
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99 | { |
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100 | rho1=1.86; |
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101 | tau1=1.2; |
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102 | } |
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103 | G4double rho2=(4.+.125*lnA)/red; |
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104 | G4double tau2=3.4/red; |
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105 | if(A==6.) |
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106 | { |
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107 | rho2=2.9; |
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108 | tau2=2.32; |
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109 | } |
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110 | else if(A==2.) |
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111 | { |
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112 | rho2=2.11; |
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113 | tau2=1.5; |
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114 | } |
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115 | G4double rho4=3.8+.05*lnA; |
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116 | G4double tau4=3.8-.25*lnA; |
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117 | if(A<13.) |
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118 | { |
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119 | rho4=r4[m]; |
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120 | tau4=t4[m]; |
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121 | } |
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122 | G4double rho8=r8[m]; |
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123 | G4double tau8=t8[m]; |
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124 | G4double tr=5.13-.00075*A; // Resonance threshold Position |
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125 | //if(A==1.)tr=5.24; |
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126 | G4double rr=11.; // Resonance threshold Slope |
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127 | if(A<2.5)rr=25.; |
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128 | G4double dw=.056+lnA*(.03-.001*lnA); // Delta width |
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129 | G4double du=5.82-.07/(1.+.003*A2); // Delta position |
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130 | G4double da=.39*A; // Delta amplitude |
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131 | if(A==2.)da=.88; |
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132 | //else if(A==1.) da=.55; |
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133 | G4double ekin=1.; |
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134 | fileGDR<<" static const G4double SL"<<m<<"[nL]={"<<G4endl<<" "; |
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135 | G4cout<<"**** A_low="<<A<<G4endl; |
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136 | np=0; |
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137 | for(G4int em=0; em<mC; em++) |
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138 | { |
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139 | ekin+=1.; |
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140 | G4double z=std::log(ekin); |
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141 | G4double ds=z-du; |
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142 | G4double sigd=da/(1.+ds*ds/dw)/(1.+std::exp(rr*(tr-z))); // Delta contribution |
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143 | G4double g1=std::exp(rho1-z)/(1.+std::exp(3*(tau1-z))); |
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144 | G4double g2=std::exp(2*(rho2-z))/(1.+std::exp(6*(tau2-z))); |
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145 | G4double g4=0.; |
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146 | if(A>3.5)g4=std::exp(4*(rho4-z))/(1.+std::exp(12*(tau4-z))); |
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147 | G4double g8=0.; |
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148 | if(A>6.5)g8=std::exp(8*(rho8-z))/(1.+std::exp(24*(tau8-z))); |
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149 | G4double sig=sigd+g1+g2+g4+g8; |
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150 | np++; |
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151 | if(np==7) |
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152 | { |
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153 | if(em==mC-1) fileGDR<<sig<<"};"<<G4endl; |
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154 | else fileGDR<<sig<<","<<G4endl<<" "; |
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155 | } |
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156 | else fileGDR<<sig<<","; |
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157 | if(np==7) np=0; |
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158 | } // End of the point LOOP |
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159 | } // End of the isotop LOOP |
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160 | // ===== High Energy Calculations ======================= |
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161 | //G4double shd=1.0663-.0023*log(2.); // HE PomShadowing(D) |
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162 | np=0; |
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163 | for(G4int n=0; n<nN; n++) |
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164 | { |
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165 | G4double A=nA[n]; |
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166 | G4double A2=A*A; |
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167 | fileRes<<" static const G4double SH"<<n<<"[nH]={"<<G4endl<<" "; |
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168 | G4cout<<"**** A_high="<<A<<G4endl; |
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169 | G4double lnA=std::log(A); |
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170 | G4double slA=std::sqrt(lnA); |
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171 | G4double red=1.+16/A2/A2; |
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172 | G4double rho1=(3.2+.75*lnA)/red; |
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173 | G4double tau1=(6.6-.5*lnA)/red; |
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174 | if(A==2.) |
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175 | { |
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176 | rho1=1.86; |
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177 | tau1=1.2; |
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178 | } |
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179 | G4double rho2=(4.+.125*lnA)/red; |
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180 | G4double tau2=3.4/red; |
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181 | if(A==6.) |
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182 | { |
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183 | rho2=2.9; |
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184 | tau2=2.32; |
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185 | } |
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186 | else if(A==2.) |
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187 | { |
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188 | rho2=2.11; |
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189 | tau2=1.5; |
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190 | } |
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191 | G4double rho4=6.27; |
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192 | G4double tau4=7.25; |
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193 | G4double rho8=6.66; |
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194 | G4double tau8=6.90; |
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195 | if(A==2.) |
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196 | { |
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197 | rho4=6.2; |
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198 | tau4=7.1; |
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199 | rho8=6.62; |
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200 | tau8=6.91; |
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201 | } |
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202 | G4double tr=5.13-.00075*A; // Resonance threshold Position |
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203 | if(A==1.)tr=5.24; |
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204 | G4double rr=11.; // Resonance threshold Slope |
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205 | if(A<2.5)rr=25.; |
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206 | // Delta |
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207 | G4double dw=.056+lnA*(.03-.001*lnA); // Delta width |
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208 | G4double du=5.82-.07/(1.+.003*A2); // Delta position |
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209 | G4double da=.39*A; // Delta amplitude |
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210 | if(A==2.)da=.88; |
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211 | else if(A==1.) da=.55; |
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212 | // High Resonance |
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213 | G4double hw=.045+.04*slA*slA*slA; // HighR width |
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214 | G4double hu=6.496+.042*lnA; // HighR position |
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215 | if(A==1.)hu=6.57; |
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216 | else if(A==2.)hu=6.575; |
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217 | G4double ha=.223; // HighR amplitude |
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218 | if(A>2.5)ha=.16*A/slA; |
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219 | else if(A==2.) ha=.348; |
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220 | G4double sp=A*(1.-.072*lnA); // HE TotShadowing |
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221 | G4double sh=1.0663-.0023*lnA; // HE PomShadowing |
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222 | if(A==1.)sh=1.07; |
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223 | // -- Loop over energies --- |
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224 | G4double z=iE-dE; |
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225 | np=0; |
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226 | for(G4int en=0; en<nC; en++) |
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227 | { |
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228 | z+=dE; |
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229 | G4double ds=z-du; |
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230 | G4double fr=1.+std::exp(rr*(tr-z)); |
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231 | G4double sigd=da/(1.+ds*ds/dw); // Delta contribution |
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232 | G4double hs=z-hu; |
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233 | G4double sigh=ha/(1.+hs*hs/hw); // HighR contribution |
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234 | G4double g1=0.; |
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235 | if(A>1.5)g1=std::exp(rho1-z)/(1.+std::exp(3*(tau1-z))); |
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236 | G4double g2=0.; |
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237 | if(A>1.5)g2=std::exp(2*(rho2-z))/(1.+std::exp(6*(tau2-z))); |
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238 | G4double g4=0.; |
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239 | if(A<2.5)g4=std::exp(4*(rho4-z))/(1.+std::exp(12*(tau4-z))); |
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240 | G4double g8=0.; |
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241 | if(A<2.5)g8=std::exp(8*(rho8-z))/(1.+std::exp(24*(tau8-z))); |
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242 | G4double hp=.0375*(z-16.5)+sh*std::exp(-.11*z); |
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243 | G4double fp=hp/(1.+std::exp(4*(7.-z))); |
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244 | G4double sig=(sigd+sigh)/fr+g1+g2+g4+g8+sp*fp; |
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245 | np++; |
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246 | if(np==7) |
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247 | { |
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248 | if(en==nC-1) fileRes<<sig<<"};"<<G4endl; |
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249 | else fileRes<<sig<<","<<G4endl<<" "; |
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250 | } |
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251 | else fileRes<<sig<<","; |
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252 | if(np==7) np=0; |
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253 | //if(en==nC) |
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254 | //{ |
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255 | // G4double fsig=sp*(.0375*(z-16.5)+shd*exp(-.11*z)); |
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256 | // fileRes<<">>> fun="<<fsig<<G4endl; |
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257 | //} |
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258 | } // End of the point LOOP |
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259 | } // End of the isotop LOOP |
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260 | return EXIT_SUCCESS; |
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261 | } |
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