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 | // G4RKFieldIntegrator |
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27 | #include "G4RKFieldIntegrator.hh" |
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28 | #include "G4NucleiProperties.hh" |
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29 | #include "G4FermiMomentum.hh" |
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30 | #include "G4NuclearFermiDensity.hh" |
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31 | #include "G4NuclearShellModelDensity.hh" |
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32 | #include "G4Nucleon.hh" |
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33 | |
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34 | // Class G4RKFieldIntegrator |
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35 | //************************************************************************************************************************************* |
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36 | |
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37 | // only theActive are propagated, nothing else |
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38 | // only theSpectators define the field, nothing else |
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39 | |
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40 | void G4RKFieldIntegrator::Transport(G4KineticTrackVector &theActive, const G4KineticTrackVector &theSpectators, G4double theTimeStep) |
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41 | { |
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42 | (void)theActive; |
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43 | (void)theSpectators; |
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44 | (void)theTimeStep; |
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45 | } |
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46 | |
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47 | |
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48 | G4double G4RKFieldIntegrator::CalculateTotalEnergy(const G4KineticTrackVector& Barions) |
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49 | { |
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50 | const G4double Alpha = 0.25/fermi/fermi; |
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51 | const G4double t1 = -7264.04*fermi*fermi*fermi; |
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52 | const G4double tGamma = 87.65*fermi*fermi*fermi*fermi*fermi*fermi; |
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53 | // const G4double Gamma = 1.676; |
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54 | const G4double Vo = -0.498*fermi; |
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55 | const G4double GammaY = 1.4*fermi; |
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56 | |
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57 | G4double Etot = 0; |
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58 | G4int nBarion = Barions.size(); |
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59 | for(G4int c1 = 0; c1 < nBarion; c1++) |
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60 | { |
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61 | G4KineticTrack* p1 = Barions.operator[](c1); |
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62 | // Ekin |
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63 | Etot += p1->Get4Momentum().e(); |
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64 | for(G4int c2 = c1 + 1; c2 < nBarion; c2++) |
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65 | { |
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66 | G4KineticTrack* p2 = Barions.operator[](c2); |
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67 | G4ThreeVector rv = p1->GetPosition() - p2->GetPosition(); |
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68 | G4double r12 = std::sqrt(rv*rv)*fermi; |
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69 | |
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70 | // Esk2 |
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71 | Etot += t1*std::pow(Alpha/pi, 3/2)*std::exp(-Alpha*r12*r12); |
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72 | |
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73 | // Eyuk |
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74 | Etot += Vo*0.5/r12*std::exp(1/(4*Alpha*GammaY*GammaY))* |
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75 | (std::exp(-r12/GammaY)*(1 - Erf(0.5/GammaY/std::sqrt(Alpha) - std::sqrt(Alpha)*r12)) - |
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76 | std::exp( r12/GammaY)*(1 - Erf(0.5/GammaY/std::sqrt(Alpha) + std::sqrt(Alpha)*r12))); |
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77 | |
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78 | // Ecoul |
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79 | Etot += 1.44*p1->GetDefinition()->GetPDGCharge()*p2->GetDefinition()->GetPDGCharge()/r12*Erf(std::sqrt(Alpha)*r12); |
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80 | |
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81 | // Epaul |
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82 | Etot = 0; |
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83 | |
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84 | for(G4int c3 = c2 + 1; c3 < nBarion; c3++) |
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85 | { |
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86 | G4KineticTrack* p3 = Barions.operator[](c3); |
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87 | G4ThreeVector rv = p1->GetPosition() - p3->GetPosition(); |
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88 | G4double r13 = std::sqrt(rv*rv)*fermi; |
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89 | |
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90 | // Esk3 |
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91 | Etot = tGamma*std::pow(4*Alpha*Alpha/3/pi/pi, 1.5)*std::exp(-Alpha*(r12*r12 + r13*r13)); |
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92 | } |
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93 | } |
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94 | } |
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95 | return Etot; |
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96 | } |
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97 | |
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98 | //************************************************************************************************ |
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99 | // originated from the Numerical recipes error function |
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100 | G4double G4RKFieldIntegrator::Erf(G4double X) |
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101 | { |
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102 | const G4double Z1 = 1; |
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103 | const G4double HF = Z1/2; |
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104 | const G4double C1 = 0.56418958; |
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105 | |
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106 | const G4double P10 = +3.6767877; |
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107 | const G4double Q10 = +3.2584593; |
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108 | const G4double P11 = -9.7970465E-2; |
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109 | |
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110 | static G4double P2[5] = { 7.3738883, 6.8650185, 3.0317993, 0.56316962, 4.3187787e-5 }; |
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111 | static G4double Q2[5] = { 7.3739609, 15.184908, 12.79553, 5.3542168, 1. }; |
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112 | |
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113 | const G4double P30 = -1.2436854E-1; |
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114 | const G4double Q30 = +4.4091706E-1; |
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115 | const G4double P31 = -9.6821036E-2; |
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116 | |
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117 | G4double V = std::abs(X); |
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118 | G4double H; |
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119 | G4double Y; |
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120 | G4int c1; |
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121 | |
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122 | if(V < HF) |
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123 | { |
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124 | Y = V*V; |
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125 | H = X*(P10 + P11*Y)/(Q10+Y); |
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126 | } |
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127 | else |
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128 | { |
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129 | if(V < 4) |
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130 | { |
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131 | G4double AP = P2[4]; |
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132 | G4double AQ = Q2[4]; |
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133 | for(c1 = 3; c1 >= 0; c1--) |
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134 | { |
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135 | AP = P2[c1] + V*AP; |
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136 | AQ = Q2[c1] + V*AQ; |
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137 | } |
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138 | H = 1 - std::exp(-V*V)*AP/AQ; |
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139 | } |
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140 | else |
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141 | { |
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142 | Y = 1./V*V; |
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143 | H = 1 - std::exp(-V*V)*(C1+Y*(P30 + P31*Y)/(Q30 + Y))/V; |
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144 | } |
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145 | if (X < 0) |
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146 | H =- H; |
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147 | } |
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148 | return H; |
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149 | } |
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150 | |
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151 | //************************************************************************************************ |
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152 | //This is a QMD version to calculate excitation energy of a fragment, |
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153 | //which consists from G4KTV &the Particles |
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154 | /* |
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155 | G4double G4RKFieldIntegrator::GetExcitationEnergy(const G4KineticTrackVector &theParticles) |
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156 | { |
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157 | // Excitation energy of a fragment consisting from A nucleons and Z protons |
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158 | // is Etot - Z*Mp - (A - Z)*Mn - B(A, Z), where B(A,Z) is the binding energy of fragment |
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159 | // and Mp, Mn are proton and neutron mass, respectively. |
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160 | G4int NZ = 0; |
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161 | G4int NA = 0; |
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162 | G4double Etot = CalculateTotalEnergy(theParticles); |
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163 | for(G4int cParticle = 0; cParticle < theParticles.length(); cParticle++) |
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164 | { |
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165 | G4KineticTrack* pKineticTrack = theParticles.at(cParticle); |
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166 | G4int Encoding = std::abs(pKineticTrack->GetDefinition()->GetPDGEncoding()); |
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167 | if (Encoding == 2212) |
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168 | NZ++, NA++; |
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169 | if (Encoding == 2112) |
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170 | NA++; |
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171 | Etot -= pKineticTrack->GetDefinition()->GetPDGMass(); |
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172 | } |
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173 | return Etot - G4NucleiProperties::GetBindingEnergy(NZ, NA); |
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174 | } |
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175 | */ |
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176 | |
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177 | //************************************************************************************************************************************* |
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178 | //This is a simplified method to get excitation energy of a residual |
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179 | // nucleus with nHitNucleons. |
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180 | G4double G4RKFieldIntegrator::GetExcitationEnergy(G4int nHitNucleons, const G4KineticTrackVector &) |
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181 | { |
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182 | const G4double MeanE = 50; |
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183 | G4double Sum = 0; |
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184 | for(G4int c1 = 0; c1 < nHitNucleons; c1++) |
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185 | { |
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186 | Sum += -MeanE*std::log(G4UniformRand()); |
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187 | } |
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188 | return Sum; |
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189 | } |
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190 | //************************************************************************************************************************************* |
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191 | |
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192 | /* |
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193 | //This is free propagation of particles for CASCADE mode. Target nucleons should be frozen |
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194 | void G4RKFieldIntegrator::Integrate(G4KineticTrackVector& theParticles) |
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195 | { |
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196 | for(G4int cParticle = 0; cParticle < theParticles.length(); cParticle++) |
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197 | { |
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198 | G4KineticTrack* pKineticTrack = theParticles.at(cParticle); |
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199 | pKineticTrack->SetPosition(pKineticTrack->GetPosition() + theTimeStep*pKineticTrack->Get4Momentum().boostVector()); |
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200 | } |
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201 | } |
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202 | */ |
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203 | //************************************************************************************************************************************* |
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204 | |
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205 | void G4RKFieldIntegrator::Integrate(const G4KineticTrackVector& theBarions, G4double theTimeStep) |
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206 | { |
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207 | for(size_t cParticle = 0; cParticle < theBarions.size(); cParticle++) |
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208 | { |
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209 | G4KineticTrack* pKineticTrack = theBarions[cParticle]; |
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210 | pKineticTrack->SetPosition(pKineticTrack->GetPosition() + theTimeStep*pKineticTrack->Get4Momentum().boostVector()); |
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211 | } |
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212 | } |
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213 | |
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214 | //************************************************************************************************************************************* |
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215 | |
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216 | // constant to calculate theCoulomb barrier |
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217 | const G4double G4RKFieldIntegrator::coulomb = 1.44 / 1.14 * MeV; |
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218 | |
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219 | // kaon's potential constant (real part only) |
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220 | // 0.35 + i0.82 or 0.63 + i0.89 fermi |
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221 | const G4double G4RKFieldIntegrator::a_kaon = 0.35; |
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222 | |
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223 | // pion's potential constant (real part only) |
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224 | //!! for pions it has todiffer from kaons |
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225 | // 0.35 + i0.82 or 0.63 + i0.89 fermi |
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226 | const G4double G4RKFieldIntegrator::a_pion = 0.35; |
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227 | |
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228 | // antiproton's potential constant (real part only) |
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229 | // 1.53 + i2.50 fermi |
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230 | const G4double G4RKFieldIntegrator::a_antiproton = 1.53; |
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231 | |
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232 | // methods for calculating potentials for different types of particles |
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233 | // aPosition is relative to the nucleus center |
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234 | G4double G4RKFieldIntegrator::GetNeutronPotential(G4double ) |
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235 | { |
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236 | /* |
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237 | const G4double Mn = 939.56563 * MeV; // mass of nuetron |
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238 | |
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239 | G4VNuclearDensity *theDencity; |
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240 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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241 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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242 | |
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243 | // GetDencity() accepts only G4ThreeVector so build it: |
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244 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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245 | G4double density = theDencity->GetDensity(aPosition); |
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246 | delete theDencity; |
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247 | |
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248 | G4FermiMomentum *fm = new G4FermiMomentum(); |
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249 | fm->Init(theA, theZ); |
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250 | G4double fermiMomentum = fm->GetFermiMomentum(density); |
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251 | delete fm; |
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252 | |
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253 | return sqr(fermiMomentum)/(2 * Mn) |
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254 | + G4CreateNucleus::GetBindingEnergy(theZ, theA)/theA; |
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255 | //+ G4NucleiProperties::GetBindingEnergy(theZ, theA)/theA; |
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256 | */ |
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257 | |
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258 | return 0.0; |
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259 | } |
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260 | |
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261 | G4double G4RKFieldIntegrator::GetProtonPotential(G4double ) |
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262 | { |
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263 | /* |
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264 | // calculate Coulomb barrier value |
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265 | G4double theCoulombBarrier = coulomb * theZ/(1. + std::pow(theA, 1./3.)); |
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266 | const G4double Mp = 938.27231 * MeV; // mass of proton |
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267 | |
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268 | G4VNuclearDensity *theDencity; |
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269 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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270 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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271 | |
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272 | // GetDencity() accepts only G4ThreeVector so build it: |
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273 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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274 | G4double density = theDencity->GetDensity(aPosition); |
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275 | delete theDencity; |
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276 | |
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277 | G4FermiMomentum *fm = new G4FermiMomentum(); |
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278 | fm->Init(theA, theZ); |
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279 | G4double fermiMomentum = fm->GetFermiMomentum(density); |
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280 | delete fm; |
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281 | |
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282 | return sqr(fermiMomentum)/ (2 * Mp) |
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283 | + G4CreateNucleus::GetBindingEnergy(theZ, theA)/theA; |
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284 | //+ G4NucleiProperties::GetBindingEnergy(theZ, theA)/theA |
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285 | + theCoulombBarrier; |
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286 | */ |
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287 | |
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288 | return 0.0; |
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289 | } |
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290 | |
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291 | G4double G4RKFieldIntegrator::GetAntiprotonPotential(G4double ) |
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292 | { |
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293 | /* |
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294 | //G4double theM = G4NucleiProperties::GetAtomicMass(theA, theZ); |
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295 | G4double theM = theZ * G4Proton::Proton()->GetPDGMass() |
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296 | + (theA - theZ) * G4Neutron::Neutron()->GetPDGMass() |
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297 | + G4CreateNucleus::GetBindingEnergy(theZ, theA); |
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298 | |
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299 | const G4double Mp = 938.27231 * MeV; // mass of proton |
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300 | G4double mu = (theM * Mp)/(theM + Mp); |
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301 | |
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302 | // antiproton's potential coefficient |
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303 | // V = coeff_antiproton * nucleus_density |
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304 | G4double coeff_antiproton = -2.*pi/mu * (1. + Mp) * a_antiproton; |
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305 | |
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306 | G4VNuclearDensity *theDencity; |
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307 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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308 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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309 | |
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310 | // GetDencity() accepts only G4ThreeVector so build it: |
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311 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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312 | G4double density = theDencity->GetDensity(aPosition); |
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313 | delete theDencity; |
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314 | |
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315 | return coeff_antiproton * density; |
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316 | */ |
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317 | |
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318 | return 0.0; |
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319 | } |
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320 | |
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321 | G4double G4RKFieldIntegrator::GetKaonPotential(G4double ) |
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322 | { |
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323 | /* |
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324 | //G4double theM = G4NucleiProperties::GetAtomicMass(theA, theZ); |
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325 | G4double theM = theZ * G4Proton::Proton()->GetPDGMass() |
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326 | + (theA - theZ) * G4Neutron::Neutron()->GetPDGMass() |
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327 | + G4CreateNucleus::GetBindingEnergy(theZ, theA); |
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328 | |
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329 | const G4double Mk = 496. * MeV; // mass of "kaon" |
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330 | G4double mu = (theM * Mk)/(theM + Mk); |
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331 | |
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332 | // kaon's potential coefficient |
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333 | // V = coeff_kaon * nucleus_density |
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334 | G4double coeff_kaon = -2.*pi/mu * (1. + Mk/theM) * a_kaon; |
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335 | |
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336 | G4VNuclearDensity *theDencity; |
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337 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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338 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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339 | |
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340 | // GetDencity() accepts only G4ThreeVector so build it: |
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341 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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342 | G4double density = theDencity->GetDensity(aPosition); |
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343 | delete theDencity; |
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344 | |
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345 | return coeff_kaon * density; |
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346 | */ |
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347 | |
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348 | return 0.0; |
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349 | } |
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350 | |
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351 | G4double G4RKFieldIntegrator::GetPionPotential(G4double ) |
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352 | { |
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353 | /* |
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354 | //G4double theM = G4NucleiProperties::GetAtomicMass(theA, theZ); |
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355 | G4double theM = theZ * G4Proton::Proton()->GetPDGMass() |
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356 | + (theA - theZ) * G4Neutron::Neutron()->GetPDGMass() |
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357 | + G4CreateNucleus::GetBindingEnergy(theZ, theA); |
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358 | |
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359 | const G4double Mpi = 139. * MeV; // mass of "pion" |
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360 | G4double mu = (theM * Mpi)/(theM + Mpi); |
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361 | |
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362 | // pion's potential coefficient |
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363 | // V = coeff_pion * nucleus_density |
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364 | G4double coeff_pion = -2.*pi/mu * (1. + Mpi) * a_pion; |
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365 | |
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366 | G4VNuclearDensity *theDencity; |
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367 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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368 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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369 | |
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370 | // GetDencity() accepts only G4ThreeVector so build it: |
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371 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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372 | G4double density = theDencity->GetDensity(aPosition); |
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373 | delete theDencity; |
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374 | |
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375 | return coeff_pion * density; |
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376 | */ |
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377 | |
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378 | return 0.0; |
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379 | } |
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