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 | // $Id: G4HeatedKleinNishinaCompton.cc,v 1.5 2009/04/12 17:09:57 vnivanch Exp $ |
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27 | // GEANT4 tag $Name: geant4-09-03 $ |
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28 | // |
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29 | // ------------------------------------------------------------------- |
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30 | // |
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31 | // GEANT4 Class file |
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32 | // |
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33 | // |
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34 | // File name: G4HeatedKleinNishinaCompton |
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35 | // |
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36 | // Author: Vladimir Grichine on base of M. Maire and V. Ivanchenko code |
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37 | // |
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38 | // Creation date: 15.03.2009 |
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39 | // |
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40 | // Modifications: |
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41 | // |
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42 | // |
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43 | // Class Description: |
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44 | // |
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45 | // ------------------------------------------------------------------- |
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46 | // |
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47 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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48 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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49 | |
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50 | #include <CLHEP/Random/RandGamma.h> |
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51 | #include "globals.hh" |
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52 | #include "G4RandomDirection.hh" |
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53 | #include "Randomize.hh" |
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54 | |
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55 | #include "G4HeatedKleinNishinaCompton.hh" |
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56 | #include "G4Electron.hh" |
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57 | #include "G4Gamma.hh" |
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58 | #include "Randomize.hh" |
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59 | #include "G4DataVector.hh" |
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60 | #include "G4ParticleChangeForGamma.hh" |
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61 | |
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62 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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63 | |
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64 | using namespace std; |
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65 | |
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66 | G4HeatedKleinNishinaCompton::G4HeatedKleinNishinaCompton(const G4ParticleDefinition*, |
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67 | const G4String& nam) |
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68 | : G4VEmModel(nam) |
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69 | { |
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70 | theGamma = G4Gamma::Gamma(); |
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71 | theElectron = G4Electron::Electron(); |
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72 | lowestGammaEnergy = 1.0*eV; |
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73 | fTemperature = 1.0*keV; |
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74 | fParticleChange = 0; |
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75 | } |
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76 | |
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77 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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78 | |
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79 | G4HeatedKleinNishinaCompton::~G4HeatedKleinNishinaCompton() |
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80 | {} |
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81 | |
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82 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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83 | |
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84 | void G4HeatedKleinNishinaCompton::Initialise(const G4ParticleDefinition*, |
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85 | const G4DataVector&) |
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86 | { |
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87 | if(!fParticleChange) fParticleChange = GetParticleChangeForGamma(); |
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88 | } |
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89 | |
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90 | //////////////////////////////////////////////////////////////////////////// |
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91 | // |
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92 | // |
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93 | |
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94 | G4double G4HeatedKleinNishinaCompton::ComputeCrossSectionPerAtom( |
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95 | const G4ParticleDefinition*, |
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96 | G4double GammaEnergy, |
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97 | G4double Z, G4double, |
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98 | G4double, G4double) |
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99 | { |
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100 | G4double CrossSection = 0.0 ; |
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101 | if ( Z < 0.9999 ) return CrossSection; |
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102 | if ( GammaEnergy < 0.01*keV ) return CrossSection; |
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103 | // if ( GammaEnergy > (100.*GeV/Z) ) return CrossSection; |
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104 | |
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105 | static const G4double a = 20.0 , b = 230.0 , c = 440.0; |
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106 | |
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107 | static const G4double |
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108 | d1= 2.7965e-1*barn, d2=-1.8300e-1*barn, d3= 6.7527 *barn, d4=-1.9798e+1*barn, |
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109 | e1= 1.9756e-5*barn, e2=-1.0205e-2*barn, e3=-7.3913e-2*barn, e4= 2.7079e-2*barn, |
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110 | f1=-3.9178e-7*barn, f2= 6.8241e-5*barn, f3= 6.0480e-5*barn, f4= 3.0274e-4*barn; |
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111 | |
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112 | G4double p1Z = Z*(d1 + e1*Z + f1*Z*Z), p2Z = Z*(d2 + e2*Z + f2*Z*Z), |
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113 | p3Z = Z*(d3 + e3*Z + f3*Z*Z), p4Z = Z*(d4 + e4*Z + f4*Z*Z); |
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114 | |
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115 | G4double T0 = 15.0*keV; |
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116 | if (Z < 1.5) T0 = 40.0*keV; |
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117 | |
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118 | G4double X = max(GammaEnergy, T0) / electron_mass_c2; |
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119 | CrossSection = p1Z*std::log(1.+2.*X)/X |
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120 | + (p2Z + p3Z*X + p4Z*X*X)/(1. + a*X + b*X*X + c*X*X*X); |
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121 | |
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122 | // modification for low energy. (special case for Hydrogen) |
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123 | if (GammaEnergy < T0) { |
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124 | G4double dT0 = 1.*keV; |
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125 | X = (T0+dT0) / electron_mass_c2 ; |
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126 | G4double sigma = p1Z*log(1.+2*X)/X |
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127 | + (p2Z + p3Z*X + p4Z*X*X)/(1. + a*X + b*X*X + c*X*X*X); |
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128 | G4double c1 = -T0*(sigma-CrossSection)/(CrossSection*dT0); |
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129 | G4double c2 = 0.150; |
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130 | if (Z > 1.5) c2 = 0.375-0.0556*log(Z); |
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131 | G4double y = log(GammaEnergy/T0); |
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132 | CrossSection *= exp(-y*(c1+c2*y)); |
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133 | } |
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134 | // G4cout << "e= " << GammaEnergy << " Z= " << Z << " cross= " << CrossSection << G4endl; |
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135 | return CrossSection; |
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136 | } |
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137 | |
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138 | ////////////////////////////////////////////////////////////////////////// |
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139 | // |
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140 | // |
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141 | |
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142 | void G4HeatedKleinNishinaCompton::SampleSecondaries(std::vector<G4DynamicParticle*>* fvect, |
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143 | const G4MaterialCutsCouple*, |
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144 | const G4DynamicParticle* aDynamicGamma, |
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145 | G4double, |
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146 | G4double) |
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147 | { |
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148 | // The scattered gamma energy is sampled according to Klein - Nishina formula. |
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149 | // The random number techniques of Butcher & Messel are used |
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150 | // (Nuc Phys 20(1960),15). |
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151 | // Note : Effects due to binding of atomic electrons are negliged. |
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152 | |
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153 | // We start to prepare a heated electron from Maxwell distribution. |
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154 | // Then we try to boost to the electron rest frame and make scattering. |
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155 | // The final step is to recover new gamma 4momentum in the lab frame |
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156 | |
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157 | G4double eMomentumC2 = CLHEP::RandGamma::shoot(1.5,1.); |
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158 | eMomentumC2 *= 2*electron_mass_c2*fTemperature; // electron (pc)^2 |
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159 | G4ThreeVector eMomDir = G4RandomDirection(); |
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160 | eMomDir *= std::sqrt(eMomentumC2); |
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161 | G4double eEnergy = std::sqrt(eMomentumC2+electron_mass_c2*electron_mass_c2); |
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162 | G4LorentzVector electron4v = G4LorentzVector(eMomDir,eEnergy); |
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163 | G4ThreeVector bst = electron4v.boostVector(); |
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164 | |
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165 | G4LorentzVector gamma4v = aDynamicGamma->Get4Momentum(); |
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166 | gamma4v.boost(-bst); |
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167 | |
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168 | G4ThreeVector gammaMomV = gamma4v.vect(); |
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169 | G4double gamEnergy0 = gammaMomV.mag(); |
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170 | |
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171 | |
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172 | // G4double gamEnergy0 = aDynamicGamma->GetKineticEnergy(); |
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173 | G4double E0_m = gamEnergy0 / electron_mass_c2 ; |
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174 | |
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175 | // G4ThreeVector gamDirection0 = /aDynamicGamma->GetMomentumDirection(); |
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176 | |
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177 | G4ThreeVector gamDirection0 = gammaMomV/gamEnergy0; |
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178 | |
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179 | // sample the energy rate of the scattered gamma in the electron rest frame |
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180 | // |
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181 | |
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182 | G4double epsilon, epsilonsq, onecost, sint2, greject ; |
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183 | |
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184 | G4double epsilon0 = 1./(1. + 2.*E0_m); |
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185 | G4double epsilon0sq = epsilon0*epsilon0; |
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186 | G4double alpha1 = - log(epsilon0); |
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187 | G4double alpha2 = 0.5*(1.- epsilon0sq); |
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188 | |
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189 | do |
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190 | { |
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191 | if ( alpha1/(alpha1+alpha2) > G4UniformRand() ) |
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192 | { |
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193 | epsilon = exp(-alpha1*G4UniformRand()); // epsilon0**r |
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194 | epsilonsq = epsilon*epsilon; |
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195 | |
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196 | } |
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197 | else |
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198 | { |
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199 | epsilonsq = epsilon0sq + (1.- epsilon0sq)*G4UniformRand(); |
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200 | epsilon = sqrt(epsilonsq); |
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201 | }; |
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202 | |
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203 | onecost = (1.- epsilon)/(epsilon*E0_m); |
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204 | sint2 = onecost*(2.-onecost); |
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205 | greject = 1. - epsilon*sint2/(1.+ epsilonsq); |
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206 | |
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207 | } while (greject < G4UniformRand()); |
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208 | |
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209 | // |
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210 | // scattered gamma angles. ( Z - axis along the parent gamma) |
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211 | // |
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212 | |
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213 | G4double cosTeta = 1. - onecost; |
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214 | G4double sinTeta = sqrt (sint2); |
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215 | G4double Phi = twopi * G4UniformRand(); |
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216 | G4double dirx = sinTeta*cos(Phi), diry = sinTeta*sin(Phi), dirz = cosTeta; |
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217 | |
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218 | // |
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219 | // update G4VParticleChange for the scattered gamma |
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220 | // |
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221 | |
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222 | G4ThreeVector gamDirection1 ( dirx,diry,dirz ); |
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223 | gamDirection1.rotateUz(gamDirection0); |
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224 | G4double gamEnergy1 = epsilon*gamEnergy0; |
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225 | gamDirection1 *= gamEnergy1; |
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226 | |
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227 | G4LorentzVector gamma4vfinal = G4LorentzVector(gamDirection1,gamEnergy1); |
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228 | |
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229 | |
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230 | // kinematic of the scattered electron |
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231 | // |
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232 | |
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233 | G4double eKinEnergy = gamEnergy0 - gamEnergy1; |
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234 | G4ThreeVector eDirection = gamEnergy0*gamDirection0 - gamEnergy1*gamDirection1; |
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235 | eDirection = eDirection.unit(); |
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236 | G4double eFinalMom = std::sqrt(eKinEnergy*(eKinEnergy+2*electron_mass_c2)); |
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237 | eDirection *= eFinalMom; |
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238 | G4LorentzVector e4vfinal = G4LorentzVector(eDirection,gamEnergy1+electron_mass_c2); |
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239 | |
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240 | gamma4vfinal.boost(bst); |
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241 | e4vfinal.boost(bst); |
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242 | |
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243 | gamDirection1 = gamma4vfinal.vect(); |
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244 | gamEnergy1 = gamDirection1.mag(); |
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245 | gamDirection1 /= gamEnergy1; |
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246 | |
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247 | |
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248 | |
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249 | |
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250 | fParticleChange->SetProposedKineticEnergy(gamEnergy1); |
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251 | |
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252 | if( gamEnergy1 > lowestGammaEnergy ) |
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253 | { |
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254 | gamDirection1 /= gamEnergy1; |
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255 | fParticleChange->ProposeMomentumDirection(gamDirection1); |
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256 | } |
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257 | else |
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258 | { |
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259 | fParticleChange->ProposeTrackStatus(fStopAndKill); |
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260 | gamEnergy1 += fParticleChange->GetLocalEnergyDeposit(); |
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261 | fParticleChange->ProposeLocalEnergyDeposit(gamEnergy1); |
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262 | } |
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263 | |
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264 | eKinEnergy = e4vfinal.t()-electron_mass_c2; |
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265 | |
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266 | if( eKinEnergy > DBL_MIN ) |
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267 | { |
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268 | // create G4DynamicParticle object for the electron. |
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269 | eDirection = e4vfinal.vect(); |
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270 | G4double eFinMomMag = eDirection.mag(); |
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271 | eDirection /= eFinMomMag; |
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272 | G4DynamicParticle* dp = new G4DynamicParticle(theElectron,eDirection,eKinEnergy); |
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273 | fvect->push_back(dp); |
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274 | } |
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275 | } |
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276 | |
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277 | ////////////////////////////////////////////////////////////////////////// |
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278 | |
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279 | |
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