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 | // $Id: G4CrossSectionExcitationMillerGreenPartial.cc,v 1.1 2007/11/08 19:57:23 pia Exp $ |
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28 | // GEANT4 tag $Name: $ |
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29 | // |
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30 | // Contact Author: Maria Grazia Pia (Maria.Grazia.Pia@cern.ch) |
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31 | // |
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32 | // Reference: TNS Geant4-DNA paper |
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33 | // Reference for implementation model: NIM. 155, pp. 145-156, 1978 |
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34 | |
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35 | // History: |
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36 | // ----------- |
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37 | // Date Name Modification |
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38 | // 28 Apr 2007 M.G. Pia Created in compliance with design described in TNS paper |
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39 | // |
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40 | // ------------------------------------------------------------------- |
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41 | |
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42 | // Class description: |
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43 | // Geant4-DNA Cross total cross section for electron elastic scattering in water |
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44 | // Reference: TNS Geant4-DNA paper |
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45 | // S. Chauvie et al., Geant4 physics processes for microdosimetry simulation: |
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46 | // design foundation and implementation of the first set of models, |
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47 | // IEEE Trans. Nucl. Sci., vol. 54, no. 6, Dec. 2007. |
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48 | // Further documentation available from http://www.ge.infn.it/geant4/dna |
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49 | |
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50 | // ------------------------------------------------------------------- |
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51 | |
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52 | |
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53 | #include "G4CrossSectionExcitationMillerGreenPartial.hh" |
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54 | #include "G4Track.hh" |
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55 | #include "G4DynamicParticle.hh" |
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56 | #include "G4ParticleDefinition.hh" |
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57 | #include "G4Proton.hh" |
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58 | #include "G4DNAGenericIonsManager.hh" |
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59 | #include "G4CrossSectionExcitationEmfietzoglouPartial.hh" |
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60 | #include "Randomize.hh" |
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61 | #include <deque> |
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62 | |
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63 | |
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64 | G4CrossSectionExcitationMillerGreenPartial::G4CrossSectionExcitationMillerGreenPartial() |
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65 | { |
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66 | |
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67 | nLevels = waterExcitation.NumberOfLevels(); |
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68 | //G4cout << "Water excitation energy: number of levels = " << nLevels << G4endl; |
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69 | |
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70 | //PROTON |
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71 | kineticEnergyCorrection[0] = 1.; |
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72 | slaterEffectiveCharge[0][0] = 0.; |
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73 | slaterEffectiveCharge[1][0] = 0.; |
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74 | slaterEffectiveCharge[2][0] = 0.; |
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75 | sCoefficient[0][0] = 0.; |
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76 | sCoefficient[1][0] = 0.; |
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77 | sCoefficient[2][0] = 0.; |
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78 | |
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79 | //ALPHA++ |
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80 | kineticEnergyCorrection[1] = 0.9382723/3.727417; |
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81 | slaterEffectiveCharge[0][1]=0.; |
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82 | slaterEffectiveCharge[1][1]=0.; |
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83 | slaterEffectiveCharge[2][1]=0.; |
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84 | sCoefficient[0][1]=0.; |
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85 | sCoefficient[1][1]=0.; |
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86 | sCoefficient[2][1]=0.; |
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87 | |
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88 | // ALPHA+ |
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89 | kineticEnergyCorrection[2] = 0.9382723/3.727417; |
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90 | slaterEffectiveCharge[0][2]=2.0; |
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91 | slaterEffectiveCharge[1][2]=1.15; |
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92 | slaterEffectiveCharge[2][2]=1.15; |
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93 | sCoefficient[0][2]=0.7; |
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94 | sCoefficient[1][2]=0.15; |
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95 | sCoefficient[2][2]=0.15; |
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96 | |
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97 | // HELIUM |
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98 | kineticEnergyCorrection[3] = 0.9382723/3.727417; |
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99 | slaterEffectiveCharge[0][3]=1.7; |
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100 | slaterEffectiveCharge[1][3]=1.15; |
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101 | slaterEffectiveCharge[2][3]=1.15; |
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102 | sCoefficient[0][3]=0.5; |
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103 | sCoefficient[1][3]=0.25; |
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104 | sCoefficient[2][3]=0.25; |
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105 | |
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106 | } |
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107 | |
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108 | G4CrossSectionExcitationMillerGreenPartial::~G4CrossSectionExcitationMillerGreenPartial() |
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109 | { } |
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110 | |
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111 | G4double G4CrossSectionExcitationMillerGreenPartial::CrossSection(G4double k, G4int excitationLevel, |
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112 | const G4ParticleDefinition* particleDefinition) |
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113 | { |
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114 | // ( ( z * aj ) ^ omegaj ) * ( t - ej ) ^ nu |
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115 | // sigma(t) = zEff^2 * sigma0 * -------------------------------------------- |
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116 | // jj ^ ( omegaj + nu ) + t ^ ( omegaj + nu ) |
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117 | // |
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118 | // where t is the kinetic energy corrected by Helium mass over proton mass for Helium ions |
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119 | // |
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120 | // zEff is: |
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121 | // 1 for protons |
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122 | // 2 for alpha++ |
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123 | // and 2 - c1 S_1s - c2 S_2s - c3 S_2p for alpha+ and He |
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124 | // |
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125 | // Dingfelder et al., RPC 59, 255-275, 2000 from Miller and Green (1973) |
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126 | // Formula (34) and Table 2 |
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127 | |
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128 | const G4double sigma0(1.E+8 * barn); |
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129 | const G4double nu(1.); |
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130 | const G4double aj[]={876.*eV, 2084.* eV, 1373.*eV, 692.*eV, 900.*eV}; |
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131 | const G4double jj[]={19820.*eV, 23490.*eV, 27770.*eV, 30830.*eV, 33080.*eV}; |
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132 | const G4double omegaj[]={0.85, 0.88, 0.88, 0.78, 0.78}; |
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133 | |
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134 | G4int particleTypeIndex = 0; |
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135 | G4DNAGenericIonsManager* instance; |
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136 | instance = G4DNAGenericIonsManager::Instance(); |
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137 | |
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138 | if (particleDefinition == G4Proton::ProtonDefinition()) particleTypeIndex=0; |
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139 | if (particleDefinition == instance->GetIon("alpha++")) particleTypeIndex=1; |
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140 | if (particleDefinition == instance->GetIon("alpha+")) particleTypeIndex=2; |
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141 | if (particleDefinition == instance->GetIon("helium")) particleTypeIndex=3; |
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142 | |
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143 | G4double tCorrected; |
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144 | tCorrected = k * kineticEnergyCorrection[particleTypeIndex]; |
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145 | |
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146 | // Assume that the material is water; proper algorithm to calculate correctly for any material to be inserted here |
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147 | G4int z = 10; |
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148 | |
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149 | G4double numerator; |
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150 | numerator = std::pow(z * aj[excitationLevel], omegaj[excitationLevel]) * |
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151 | std::pow(tCorrected - waterExcitation.ExcitationEnergy(excitationLevel), nu); |
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152 | |
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153 | G4double power; |
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154 | power = omegaj[excitationLevel] + nu; |
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155 | |
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156 | G4double denominator; |
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157 | denominator = std::pow(jj[excitationLevel], power) + std::pow(tCorrected, power); |
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158 | |
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159 | G4double zEff = particleDefinition->GetPDGCharge() / eplus + particleDefinition->GetLeptonNumber(); |
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160 | |
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161 | zEff -= ( sCoefficient[0][particleTypeIndex] * S_1s(k, waterExcitation.ExcitationEnergy(excitationLevel), slaterEffectiveCharge[0][particleTypeIndex], 1.) + |
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162 | sCoefficient[1][particleTypeIndex] * S_2s(k, waterExcitation.ExcitationEnergy(excitationLevel), slaterEffectiveCharge[1][particleTypeIndex], 2.) + |
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163 | sCoefficient[2][particleTypeIndex] * S_2p(k, waterExcitation.ExcitationEnergy(excitationLevel), slaterEffectiveCharge[2][particleTypeIndex], 2.) ); |
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164 | |
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165 | G4double cross = sigma0 * zEff * zEff * numerator / denominator; |
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166 | |
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167 | return cross; |
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168 | } |
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169 | |
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170 | G4int G4CrossSectionExcitationMillerGreenPartial::RandomSelect(G4double k, |
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171 | const G4ParticleDefinition* particle) |
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172 | { |
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173 | G4int i = nLevels; |
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174 | G4double value = 0.; |
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175 | std::deque<double> values; |
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176 | |
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177 | // ---- MGP ---- The following algorithm is wrong: it works is the cross section |
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178 | // is a monotone increasing function. |
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179 | // The algorithm should be corrected by building the cumulative function |
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180 | // of the cross section and comparing a random number in the range 0-1 against |
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181 | // the cumulative value at each bin |
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182 | |
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183 | G4DNAGenericIonsManager *instance; |
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184 | instance = G4DNAGenericIonsManager::Instance(); |
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185 | |
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186 | // ELECTRON CORRECTION |
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187 | |
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188 | if ( particle == instance->GetIon("alpha++")) |
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189 | { while (i > 0) |
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190 | { |
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191 | i--; |
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192 | G4double partial = CrossSection(k,i,particle); |
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193 | values.push_front(partial); |
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194 | value += partial; |
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195 | } |
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196 | |
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197 | value *= G4UniformRand(); |
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198 | |
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199 | i = nLevels; |
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200 | |
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201 | while (i > 0) |
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202 | { |
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203 | i--; |
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204 | if (values[i] > value) return i; |
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205 | value -= values[i]; |
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206 | } |
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207 | } |
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208 | |
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209 | // |
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210 | // add ONE or TWO electron-water excitation for alpha+ and helium |
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211 | |
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212 | if ( particle == instance->GetIon("alpha+") |
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213 | || |
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214 | particle == instance->GetIon("helium") |
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215 | ) |
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216 | { |
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217 | |
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218 | while (i>0) |
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219 | { |
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220 | i--; |
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221 | |
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222 | G4CrossSectionExcitationEmfietzoglouPartial* excitationXS = |
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223 | new G4CrossSectionExcitationEmfietzoglouPartial(); |
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224 | |
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225 | G4double sigmaExcitation=0; |
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226 | if (k*0.511/3728 > 7.4*eV && k*0.511/3728 < 10*keV) sigmaExcitation = excitationXS->CrossSection(k*0.511/3728,i); |
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227 | |
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228 | G4double partial = CrossSection(k,i,particle); |
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229 | if (particle == instance->GetIon("alpha+")) partial = CrossSection(k,i,particle) + sigmaExcitation; |
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230 | if (particle == instance->GetIon("helium")) partial = CrossSection(k,i,particle) + 2*sigmaExcitation; |
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231 | values.push_front(partial); |
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232 | value += partial; |
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233 | delete excitationXS; |
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234 | } |
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235 | |
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236 | value*=G4UniformRand(); |
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237 | |
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238 | i=5; |
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239 | while (i>0) |
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240 | { |
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241 | i--; |
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242 | |
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243 | if (values[i]>value) return i; |
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244 | |
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245 | value-=values[i]; |
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246 | } |
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247 | } |
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248 | // |
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249 | return 0; |
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250 | } |
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251 | |
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252 | G4double G4CrossSectionExcitationMillerGreenPartial::Sum(G4double k, const G4ParticleDefinition* particle) |
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253 | { |
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254 | G4double totalCrossSection = 0.; |
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255 | |
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256 | for (G4int i=0; i<nLevels; i++) |
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257 | { |
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258 | totalCrossSection += CrossSection(k,i,particle); |
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259 | } |
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260 | return totalCrossSection; |
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261 | } |
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262 | |
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263 | |
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264 | G4double G4CrossSectionExcitationMillerGreenPartial::S_1s(G4double t, |
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265 | G4double energyTransferred, |
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266 | G4double slaterEffectiveCharge, |
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267 | G4double shellNumber) |
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268 | { |
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269 | // 1 - e^(-2r) * ( 1 + 2 r + 2 r^2) |
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270 | // Dingfelder, in Chattanooga 2005 proceedings, formula (7) |
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271 | |
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272 | G4double r = R(t, energyTransferred, slaterEffectiveCharge, shellNumber); |
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273 | G4double value = 1. - std::exp(-2 * r) * ( ( 2. * r + 2. ) * r + 1. ); |
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274 | |
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275 | return value; |
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276 | } |
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277 | |
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278 | |
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279 | G4double G4CrossSectionExcitationMillerGreenPartial::S_2s(G4double t, |
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280 | G4double energyTransferred, |
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281 | G4double slaterEffectiveCharge, |
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282 | G4double shellNumber) |
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283 | { |
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284 | // 1 - e^(-2 r) * ( 1 + 2 r + 2 r^2 + 2 r^4) |
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285 | // Dingfelder, in Chattanooga 2005 proceedings, formula (8) |
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286 | |
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287 | G4double r = R(t, energyTransferred, slaterEffectiveCharge, shellNumber); |
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288 | G4double value = 1. - std::exp(-2 * r) * (((2. * r * r + 2.) * r + 2.) * r + 1.); |
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289 | |
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290 | return value; |
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291 | |
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292 | } |
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293 | |
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294 | |
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295 | G4double G4CrossSectionExcitationMillerGreenPartial::S_2p(G4double t, |
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296 | G4double energyTransferred, |
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297 | G4double slaterEffectiveCharge, |
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298 | G4double shellNumber) |
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299 | { |
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300 | // 1 - e^(-2 r) * ( 1 + 2 r + 2 r^2 + 4/3 r^3 + 2/3 r^4) |
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301 | // Dingfelder, in Chattanooga 2005 proceedings, formula (9) |
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302 | |
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303 | G4double r = R(t, energyTransferred, slaterEffectiveCharge, shellNumber); |
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304 | G4double value = 1. - std::exp(-2 * r) * (((( 2./3. * r + 4./3.) * r + 2.) * r + 2.) * r + 1.); |
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305 | |
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306 | return value; |
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307 | } |
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308 | |
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309 | |
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310 | G4double G4CrossSectionExcitationMillerGreenPartial::R(G4double t, |
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311 | G4double energyTransferred, |
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312 | G4double slaterEffectiveCharge, |
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313 | G4double shellNumber) |
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314 | { |
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315 | // tElectron = m_electron / m_alpha * t |
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316 | // Hardcoded in Riccardo's implementation; to be corrected |
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317 | // Dingfelder, in Chattanooga 2005 proceedings, p 4 |
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318 | |
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319 | G4double tElectron = 0.511/3728. * t; |
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320 | G4double value = 2. * tElectron * slaterEffectiveCharge / (energyTransferred * shellNumber); |
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321 | |
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322 | return value; |
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323 | } |
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324 | |
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