1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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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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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: G4CrossSectionExcitationMillerGreenPartial.cc,v 1.4 2009/06/10 13:32:36 mantero Exp $ |
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27 | // GEANT4 tag $Name: geant4-09-04-beta-cand-01 $ |
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28 | |
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29 | #include "G4CrossSectionExcitationMillerGreenPartial.hh" |
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30 | |
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31 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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32 | |
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33 | G4CrossSectionExcitationMillerGreenPartial::G4CrossSectionExcitationMillerGreenPartial() |
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34 | { |
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35 | nLevels = waterExcitation.NumberOfLevels(); |
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36 | |
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37 | //PROTON |
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38 | kineticEnergyCorrection[0] = 1.; |
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39 | slaterEffectiveCharge[0][0] = 0.; |
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40 | slaterEffectiveCharge[1][0] = 0.; |
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41 | slaterEffectiveCharge[2][0] = 0.; |
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42 | sCoefficient[0][0] = 0.; |
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43 | sCoefficient[1][0] = 0.; |
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44 | sCoefficient[2][0] = 0.; |
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45 | |
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46 | //ALPHA++ |
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47 | kineticEnergyCorrection[1] = 0.9382723/3.727417; |
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48 | slaterEffectiveCharge[0][1]=0.; |
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49 | slaterEffectiveCharge[1][1]=0.; |
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50 | slaterEffectiveCharge[2][1]=0.; |
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51 | sCoefficient[0][1]=0.; |
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52 | sCoefficient[1][1]=0.; |
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53 | sCoefficient[2][1]=0.; |
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54 | |
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55 | // ALPHA+ |
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56 | kineticEnergyCorrection[2] = 0.9382723/3.727417; |
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57 | slaterEffectiveCharge[0][2]=2.0; |
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58 | slaterEffectiveCharge[1][2]=1.15; |
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59 | slaterEffectiveCharge[2][2]=1.15; |
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60 | sCoefficient[0][2]=0.7; |
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61 | sCoefficient[1][2]=0.15; |
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62 | sCoefficient[2][2]=0.15; |
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63 | |
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64 | // HELIUM |
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65 | kineticEnergyCorrection[3] = 0.9382723/3.727417; |
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66 | slaterEffectiveCharge[0][3]=1.7; |
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67 | slaterEffectiveCharge[1][3]=1.15; |
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68 | slaterEffectiveCharge[2][3]=1.15; |
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69 | sCoefficient[0][3]=0.5; |
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70 | sCoefficient[1][3]=0.25; |
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71 | sCoefficient[2][3]=0.25; |
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72 | |
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73 | } |
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74 | |
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75 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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76 | |
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77 | G4CrossSectionExcitationMillerGreenPartial::~G4CrossSectionExcitationMillerGreenPartial() |
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78 | {} |
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79 | |
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80 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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81 | |
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82 | G4double G4CrossSectionExcitationMillerGreenPartial::CrossSection(G4double k, G4int excitationLevel, |
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83 | const G4ParticleDefinition* particleDefinition) |
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84 | { |
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85 | // ( ( z * aj ) ^ omegaj ) * ( t - ej ) ^ nu |
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86 | // sigma(t) = zEff^2 * sigma0 * -------------------------------------------- |
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87 | // jj ^ ( omegaj + nu ) + t ^ ( omegaj + nu ) |
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88 | // |
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89 | // where t is the kinetic energy corrected by Helium mass over proton mass for Helium ions |
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90 | // |
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91 | // zEff is: |
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92 | // 1 for protons |
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93 | // 2 for alpha++ |
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94 | // and 2 - c1 S_1s - c2 S_2s - c3 S_2p for alpha+ and He |
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95 | // |
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96 | // Dingfelder et al., RPC 59, 255-275, 2000 from Miller and Green (1973) |
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97 | // Formula (34) and Table 2 |
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98 | |
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99 | const G4double sigma0(1.E+8 * barn); |
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100 | const G4double nu(1.); |
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101 | const G4double aj[]={876.*eV, 2084.* eV, 1373.*eV, 692.*eV, 900.*eV}; |
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102 | const G4double jj[]={19820.*eV, 23490.*eV, 27770.*eV, 30830.*eV, 33080.*eV}; |
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103 | const G4double omegaj[]={0.85, 0.88, 0.88, 0.78, 0.78}; |
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104 | |
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105 | G4int particleTypeIndex = 0; |
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106 | G4DNAGenericIonsManager* instance; |
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107 | instance = G4DNAGenericIonsManager::Instance(); |
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108 | |
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109 | if (particleDefinition == G4Proton::ProtonDefinition()) particleTypeIndex=0; |
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110 | if (particleDefinition == instance->GetIon("alpha++")) particleTypeIndex=1; |
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111 | if (particleDefinition == instance->GetIon("alpha+")) particleTypeIndex=2; |
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112 | if (particleDefinition == instance->GetIon("helium")) particleTypeIndex=3; |
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113 | |
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114 | G4double tCorrected; |
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115 | tCorrected = k * kineticEnergyCorrection[particleTypeIndex]; |
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116 | |
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117 | // SI - added protection |
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118 | if (tCorrected < waterExcitation.ExcitationEnergy(excitationLevel)) return 0; |
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119 | // |
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120 | |
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121 | G4int z = 10; |
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122 | |
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123 | G4double numerator; |
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124 | numerator = std::pow(z * aj[excitationLevel], omegaj[excitationLevel]) * |
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125 | std::pow(tCorrected - waterExcitation.ExcitationEnergy(excitationLevel), nu); |
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126 | |
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127 | G4double power; |
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128 | power = omegaj[excitationLevel] + nu; |
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129 | |
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130 | G4double denominator; |
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131 | denominator = std::pow(jj[excitationLevel], power) + std::pow(tCorrected, power); |
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132 | |
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133 | G4double zEff = particleDefinition->GetPDGCharge() / eplus + particleDefinition->GetLeptonNumber(); |
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134 | |
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135 | zEff -= ( sCoefficient[0][particleTypeIndex] * S_1s(k, waterExcitation.ExcitationEnergy(excitationLevel), slaterEffectiveCharge[0][particleTypeIndex], 1.) + |
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136 | sCoefficient[1][particleTypeIndex] * S_2s(k, waterExcitation.ExcitationEnergy(excitationLevel), slaterEffectiveCharge[1][particleTypeIndex], 2.) + |
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137 | sCoefficient[2][particleTypeIndex] * S_2p(k, waterExcitation.ExcitationEnergy(excitationLevel), slaterEffectiveCharge[2][particleTypeIndex], 2.) ); |
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138 | |
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139 | G4double cross = sigma0 * zEff * zEff * numerator / denominator; |
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140 | |
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141 | return cross; |
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142 | } |
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143 | |
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144 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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145 | |
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146 | G4int G4CrossSectionExcitationMillerGreenPartial::RandomSelect(G4double k, |
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147 | const G4ParticleDefinition* particle) |
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148 | { |
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149 | G4int i = nLevels; |
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150 | G4double value = 0.; |
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151 | std::deque<double> values; |
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152 | |
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153 | // ---- MGP ---- The following algorithm is wrong: it works if the cross section |
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154 | // is a monotone increasing function. |
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155 | // The algorithm should be corrected by building the cumulative function |
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156 | // of the cross section and comparing a random number in the range 0-1 against |
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157 | // the cumulative value at each bin |
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158 | |
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159 | G4DNAGenericIonsManager *instance; |
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160 | instance = G4DNAGenericIonsManager::Instance(); |
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161 | |
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162 | // ELECTRON CORRECTION |
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163 | |
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164 | if ( particle == instance->GetIon("alpha++")|| |
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165 | particle == G4Proton::ProtonDefinition()) |
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166 | |
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167 | { while (i > 0) |
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168 | { |
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169 | i--; |
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170 | G4double partial = CrossSection(k,i,particle); |
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171 | values.push_front(partial); |
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172 | value += partial; |
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173 | } |
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174 | |
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175 | value *= G4UniformRand(); |
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176 | |
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177 | i = nLevels; |
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178 | |
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179 | while (i > 0) |
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180 | { |
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181 | i--; |
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182 | if (values[i] > value) return i; |
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183 | value -= values[i]; |
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184 | } |
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185 | } |
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186 | |
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187 | // add ONE or TWO electron-water excitation for alpha+ and helium |
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188 | |
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189 | if ( particle == instance->GetIon("alpha+") |
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190 | || |
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191 | particle == instance->GetIon("helium") |
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192 | ) |
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193 | { |
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194 | while (i>0) |
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195 | { |
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196 | i--; |
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197 | |
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198 | G4CrossSectionExcitationEmfietzoglouPartial* excitationXS = |
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199 | new G4CrossSectionExcitationEmfietzoglouPartial(); |
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200 | |
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201 | G4double sigmaExcitation=0; |
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202 | 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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203 | |
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204 | G4double partial = CrossSection(k,i,particle); |
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205 | if (particle == instance->GetIon("alpha+")) partial = CrossSection(k,i,particle) + sigmaExcitation; |
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206 | if (particle == instance->GetIon("helium")) partial = CrossSection(k,i,particle) + 2*sigmaExcitation; |
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207 | values.push_front(partial); |
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208 | value += partial; |
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209 | delete excitationXS; |
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210 | } |
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211 | |
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212 | value*=G4UniformRand(); |
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213 | |
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214 | i=5; |
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215 | while (i>0) |
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216 | { |
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217 | i--; |
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218 | |
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219 | if (values[i]>value) return i; |
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220 | |
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221 | value-=values[i]; |
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222 | } |
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223 | } |
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224 | // |
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225 | |
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226 | return 0; |
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227 | } |
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228 | |
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229 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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230 | |
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231 | G4double G4CrossSectionExcitationMillerGreenPartial::Sum(G4double k, const G4ParticleDefinition* particle) |
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232 | { |
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233 | G4double totalCrossSection = 0.; |
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234 | |
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235 | for (G4int i=0; i<nLevels; i++) |
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236 | { |
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237 | totalCrossSection += CrossSection(k,i,particle); |
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238 | } |
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239 | return totalCrossSection; |
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240 | } |
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241 | |
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242 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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243 | |
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244 | G4double G4CrossSectionExcitationMillerGreenPartial::S_1s(G4double t, |
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245 | G4double energyTransferred, |
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246 | G4double slaterEffectiveCharge, |
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247 | G4double shellNumber) |
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248 | { |
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249 | // 1 - e^(-2r) * ( 1 + 2 r + 2 r^2) |
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250 | // Dingfelder, in Chattanooga 2005 proceedings, formula (7) |
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251 | |
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252 | G4double r = R(t, energyTransferred, slaterEffectiveCharge, shellNumber); |
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253 | G4double value = 1. - std::exp(-2 * r) * ( ( 2. * r + 2. ) * r + 1. ); |
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254 | |
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255 | return value; |
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256 | } |
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257 | |
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258 | |
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259 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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260 | |
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261 | G4double G4CrossSectionExcitationMillerGreenPartial::S_2s(G4double t, |
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262 | G4double energyTransferred, |
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263 | G4double slaterEffectiveCharge, |
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264 | G4double shellNumber) |
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265 | { |
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266 | // 1 - e^(-2 r) * ( 1 + 2 r + 2 r^2 + 2 r^4) |
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267 | // Dingfelder, in Chattanooga 2005 proceedings, formula (8) |
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268 | |
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269 | G4double r = R(t, energyTransferred, slaterEffectiveCharge, shellNumber); |
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270 | G4double value = 1. - std::exp(-2 * r) * (((2. * r * r + 2.) * r + 2.) * r + 1.); |
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271 | |
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272 | return value; |
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273 | |
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274 | } |
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275 | |
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276 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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277 | |
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278 | G4double G4CrossSectionExcitationMillerGreenPartial::S_2p(G4double t, |
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279 | G4double energyTransferred, |
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280 | G4double slaterEffectiveCharge, |
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281 | G4double shellNumber) |
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282 | { |
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283 | // 1 - e^(-2 r) * ( 1 + 2 r + 2 r^2 + 4/3 r^3 + 2/3 r^4) |
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284 | // Dingfelder, in Chattanooga 2005 proceedings, formula (9) |
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285 | |
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286 | G4double r = R(t, energyTransferred, slaterEffectiveCharge, shellNumber); |
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287 | G4double value = 1. - std::exp(-2 * r) * (((( 2./3. * r + 4./3.) * r + 2.) * r + 2.) * r + 1.); |
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288 | |
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289 | return value; |
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290 | } |
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291 | |
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292 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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293 | |
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294 | G4double G4CrossSectionExcitationMillerGreenPartial::R(G4double t, |
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295 | G4double energyTransferred, |
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296 | G4double slaterEffectiveCharge, |
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297 | G4double shellNumber) |
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298 | { |
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299 | // tElectron = m_electron / m_alpha * t |
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300 | // Hardcoded in Riccardo's implementation; to be corrected |
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301 | // Dingfelder, in Chattanooga 2005 proceedings, p 4 |
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302 | |
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303 | G4double tElectron = 0.511/3728. * t; |
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304 | G4double value = 2. * tElectron * slaterEffectiveCharge / (energyTransferred * shellNumber); |
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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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