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 | // Calculation of the total, elastic and inelastic cross-sections |
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27 | // of anti-nucleon and anti-nucleus interactions with nuclei |
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28 | // based on Glauber approach and V. Grishine formulaes for |
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29 | // interpolations (ref. V.M.Grichine, Eur.Phys.J., C62(2009) 399; |
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30 | // NIM, B267 (2009) 2460) and our parametrization of hadron-nucleon |
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31 | // cross-sections |
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32 | // |
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33 | // |
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34 | // Created by A.Galoyan and V. Uzhinsky, 18.11.2010 |
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35 | |
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36 | |
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37 | #include "G4ComponentAntiNuclNuclearXS.hh" |
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38 | |
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39 | #include "G4ParticleTable.hh" |
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40 | #include "G4IonTable.hh" |
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41 | #include "G4ParticleDefinition.hh" |
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42 | |
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43 | /////////////////////////////////////////////////////////////////////////////// |
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44 | |
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45 | |
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46 | G4ComponentAntiNuclNuclearXS::G4ComponentAntiNuclNuclearXS() |
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47 | : fUpperLimit( 10000 * GeV ), |
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48 | fLowerLimit( 10 * MeV ) |
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49 | { |
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50 | theAProton = G4AntiProton::AntiProton(); |
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51 | theANeutron = G4AntiNeutron::AntiNeutron(); |
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52 | theADeuteron = G4AntiDeuteron::AntiDeuteron(); |
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53 | theATriton = G4AntiTriton::AntiTriton(); |
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54 | theAAlpha = G4AntiAlpha::AntiAlpha(); |
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55 | theAHe3 = G4AntiHe3::AntiHe3(); |
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56 | |
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57 | Mn = 0.93827231; // GeV |
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58 | b0 = 11.92; // GeV^(-2) |
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59 | b2 = 0.3036; // GeV^(-2) |
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60 | SqrtS0 = 20.74; // GeV |
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61 | S0 = 33.0625; // GeV^2 |
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62 | |
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63 | } |
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64 | |
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65 | /////////////////////////////////////////////////////////////////////////////////////// |
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66 | // |
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67 | // |
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68 | |
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69 | G4ComponentAntiNuclNuclearXS::~G4ComponentAntiNuclNuclearXS() |
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70 | { |
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71 | } |
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72 | |
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73 | //////////////////////////////////////////////////////////////////////////////// |
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74 | |
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75 | |
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76 | |
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77 | //////////////////////////////////////////////////////////////////////////////// |
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78 | // |
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79 | // Calculation of total CrossSection of Anti-Nucleus - Nucleus |
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80 | |
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81 | |
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82 | G4double G4ComponentAntiNuclNuclearXS:: ComputeTotalCrossSection |
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83 | (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A) |
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84 | { |
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85 | G4double xsection, sigmaTotal, sigmaElastic; |
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86 | |
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87 | const G4ParticleDefinition* theParticle = aParticle; |
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88 | |
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89 | sigmaTotal = GetAntiHadronNucleonTotCrSc(theParticle,kinEnergy); |
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90 | sigmaElastic = GetAntiHadronNucleonElCrSc(theParticle,kinEnergy); |
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91 | |
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92 | // calculation of squared radius of NN-collision |
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93 | fRadiusNN2=sigmaTotal*sigmaTotal*0.1/(8.*sigmaElastic*pi) ; //fm^2 |
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94 | |
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95 | // calculation of effective nuclear radius for Pbar and Nbar interactions (can be changed) |
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96 | |
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97 | if ( (theParticle == theAProton) || (theParticle == theANeutron) ) |
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98 | { |
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99 | if(A==1) |
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100 | { fTotalXsc = sigmaTotal * millibarn; |
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101 | return fTotalXsc; } |
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102 | |
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103 | fRadiusEff = 1.34*std::pow(A,0.23)+1.35/std::pow(A,1./3.); //fm |
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104 | |
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105 | if( (Z==1) && (A==2) ) fRadiusEff = 3.800; //fm |
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106 | if( (Z==1) && (A==3) ) fRadiusEff = 3.300; |
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107 | if( (Z==2) && (A==3) ) fRadiusEff = 3.300; |
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108 | if( (Z==2) && (A==4) ) fRadiusEff = 2.376; |
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109 | |
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110 | |
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111 | } |
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112 | |
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113 | //calculation of effective nuclear radius for AntiDeuteron interaction (can be changed) |
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114 | if (theParticle == theADeuteron) |
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115 | { fRadiusEff = 1.46 * std::pow(A,0.21) + 1.45 / std::pow(A,1./3.); |
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116 | |
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117 | if( (Z==1) && (A==2) ) fRadiusEff = 3.238; //fm |
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118 | if( (Z==1) && (A==3) ) fRadiusEff = 3.144; |
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119 | if( (Z==2) && (A==3) ) fRadiusEff = 3.144; |
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120 | if( (Z==2) && (A==4) ) fRadiusEff = 2.544; |
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121 | } |
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122 | // calculation of effective nuclear radius for AntiHe3 interaction (can be changed) |
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123 | |
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124 | if( (theParticle ==theAHe3) || (theParticle ==theATriton) ) |
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125 | { fRadiusEff = 1.40* std::pow(A,0.21)+1.63/std::pow(A,1./3.); |
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126 | |
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127 | if( (Z==1) && (A==2) ) fRadiusEff = 3.144; //fm |
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128 | if( (Z==1) && (A==3) ) fRadiusEff = 3.075; |
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129 | if( (Z==2) && (A==3) ) fRadiusEff = 3.075; |
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130 | if( (Z==2) && (A==4) ) fRadiusEff = 2.589; |
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131 | } |
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132 | |
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133 | //calculation of effective nuclear radius for AntiAlpha interaction (can be changed) |
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134 | |
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135 | if (theParticle == theAAlpha) |
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136 | { |
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137 | fRadiusEff = 1.35* std::pow(A,0.21)+1.1/std::pow(A,1./3.); |
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138 | |
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139 | if( (Z==1) && (A==2) ) fRadiusEff = 2.544; //fm |
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140 | if( (Z==1) && (A==3) ) fRadiusEff = 2.589; |
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141 | if( (Z==2) && (A==3) ) fRadiusEff = 2.589; |
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142 | if( (Z==2) && (A==4) ) fRadiusEff = 2.241; |
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143 | |
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144 | } |
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145 | |
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146 | G4double R2 = fRadiusEff*fRadiusEff; |
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147 | G4double REf2 = R2+fRadiusNN2; |
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148 | G4double ApAt = std::abs(theParticle->GetBaryonNumber()) * A; |
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149 | |
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150 | xsection = 2*pi*REf2*10.*std::log(1+(ApAt*sigmaTotal/(2*pi*REf2*10.))); //mb |
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151 | xsection =xsection *millibarn; |
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152 | fTotalXsc = xsection; |
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153 | |
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154 | return fTotalXsc; |
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155 | } |
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156 | |
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157 | |
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158 | //////////////////////////////////////////////////////////////////////////////// |
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159 | // |
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160 | // Calculation of total CrossSection of Anti-Nucleus - Nucleus |
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161 | ////////////////////////////////////////////////////////////////////////////// |
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162 | G4double G4ComponentAntiNuclNuclearXS::GetTotalZandACrossSection |
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163 | (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A ) |
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164 | { return ComputeTotalCrossSection(aParticle, kinEnergy, Z, (G4double) A); } |
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165 | |
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166 | //////////////////////////////////////////////////////////////// |
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167 | // Calculation of inelastic CrossSection of Anti-Nucleus - Nucleus |
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168 | //////////////////////////////////////////////////////////////// |
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169 | |
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170 | G4double G4ComponentAntiNuclNuclearXS:: ComputeInelasticCrossSection |
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171 | (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A) |
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172 | { |
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173 | G4double inelxsection, sigmaTotal, sigmaElastic; |
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174 | |
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175 | const G4ParticleDefinition* theParticle = aParticle; |
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176 | |
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177 | sigmaTotal = GetAntiHadronNucleonTotCrSc(theParticle,kinEnergy); |
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178 | sigmaElastic = GetAntiHadronNucleonElCrSc(theParticle,kinEnergy); |
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179 | |
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180 | // calculation of sqr of radius NN-collision |
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181 | fRadiusNN2=sigmaTotal*sigmaTotal*0.1/(8.*sigmaElastic*pi); // fm^2 |
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182 | |
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183 | |
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184 | // calculation of effective nuclear radius for Pbar and Nbar interaction (can be changed) |
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185 | |
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186 | if ( (theParticle == theAProton) || (theParticle == theANeutron) ) |
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187 | { |
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188 | if (A==1) |
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189 | { fInelasticXsc = (sigmaTotal - sigmaElastic) * millibarn; |
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190 | return fInelasticXsc; |
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191 | } |
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192 | fRadiusEff = 1.31*std::pow(A, 0.22)+0.9/std::pow(A, 1./3.); //fm |
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193 | |
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194 | if( (Z==1) && (A==2) ) fRadiusEff = 3.582; //fm |
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195 | if( (Z==1) && (A==3) ) fRadiusEff = 3.105; |
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196 | if( (Z==2) && (A==3) ) fRadiusEff = 3.105; |
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197 | if( (Z==2) && (A==4) ) fRadiusEff = 2.209; |
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198 | } |
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199 | |
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200 | //calculation of effective nuclear radius for AntiDeuteron interaction (can be changed) |
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201 | |
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202 | if (theParticle ==theADeuteron) |
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203 | { |
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204 | fRadiusEff = 1.38*std::pow(A, 0.21)+1.55/std::pow(A, 1./3.); |
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205 | |
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206 | if( (Z==1) && (A==2) ) fRadiusEff = 3.169; //fm |
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207 | if( (Z==1) && (A==3) ) fRadiusEff = 3.066; |
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208 | if( (Z==2) && (A==3) ) fRadiusEff = 3.066; |
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209 | if( (Z==2) && (A==4) ) fRadiusEff = 2.498; |
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210 | } |
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211 | |
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212 | //calculation of effective nuclear radius for AntiHe3 interaction (can be changed) |
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213 | |
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214 | if( (theParticle ==theAHe3) || (theParticle ==theATriton) ) |
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215 | { |
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216 | fRadiusEff = 1.34 * std::pow(A, 0.21)+1.51/std::pow(A, 1./3.); |
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217 | |
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218 | if( (Z==1) && (A==2) ) fRadiusEff = 3.066; //fm |
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219 | if( (Z==1) && (A==3) ) fRadiusEff = 2.973; |
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220 | if( (Z==2) && (A==3) ) fRadiusEff = 2.973; |
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221 | if( (Z==2) && (A==4) ) fRadiusEff = 2.508; |
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222 | |
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223 | } |
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224 | |
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225 | //calculation of effective nuclear radius for AntiAlpha interaction (can be changed) |
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226 | |
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227 | if (theParticle == theAAlpha) |
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228 | { |
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229 | fRadiusEff = 1.3*std::pow(A, 0.21)+1.05/std::pow(A, 1./3.); |
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230 | |
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231 | if( (Z==1) && (A==2) ) fRadiusEff = 2.498; //fm |
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232 | if( (Z==1) && (A==3) ) fRadiusEff = 2.508; |
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233 | if( (Z==2) && (A==3) ) fRadiusEff = 2.508; |
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234 | if( (Z==2) && (A==4) ) fRadiusEff = 2.158; |
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235 | } |
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236 | G4double R2 = fRadiusEff*fRadiusEff; |
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237 | G4double REf2 = R2+fRadiusNN2; |
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238 | G4double ApAt= std::abs(theParticle->GetBaryonNumber()) * A; |
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239 | |
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240 | inelxsection = pi*REf2 *10* std::log(1+(ApAt*sigmaTotal/(pi*REf2*10.))); //mb |
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241 | inelxsection = inelxsection * millibarn; |
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242 | fInelasticXsc = inelxsection; |
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243 | return fInelasticXsc; |
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244 | } |
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245 | |
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246 | /////////////////////////////////////////////////////////////////////////////// |
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247 | // |
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248 | // Calculates Inelastic Anti-nucleus-Nucleus cross-section |
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249 | // |
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250 | G4double G4ComponentAntiNuclNuclearXS::GetInelasticZandACrossSection |
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251 | (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A) |
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252 | {return ComputeInelasticCrossSection(aParticle, kinEnergy, Z, (G4double) A); } |
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253 | |
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254 | |
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255 | |
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256 | /////////////////////////////////////////////////////////////////////////////// |
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257 | // |
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258 | // Calculates elastic Anti-nucleus-Nucleus cross-section as Total - Inelastic |
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259 | // |
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260 | G4double G4ComponentAntiNuclNuclearXS::ComputeElasticCrossSection |
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261 | (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A) |
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262 | { |
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263 | fElasticXsc = ComputeTotalCrossSection(aParticle, kinEnergy, Z, A)- |
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264 | ComputeInelasticCrossSection(aParticle, kinEnergy, Z, A); |
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265 | |
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266 | if (fElasticXsc < 0.) fElasticXsc = 0.; |
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267 | |
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268 | return fElasticXsc; |
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269 | } |
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270 | |
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271 | /////////////////////////////////////////////////////////////////////////////// |
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272 | // |
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273 | // Calculates elastic Anti-nucleus-Nucleus cross-section |
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274 | // |
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275 | G4double G4ComponentAntiNuclNuclearXS:: GetElasticZandACrossSection |
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276 | (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A) |
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277 | { return ComputeElasticCrossSection(aParticle, kinEnergy, Z, (G4double) A); } |
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278 | |
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279 | |
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280 | /////////////////////////////////////////////////////////////////////////////////// |
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281 | // Calculation of Antihadron - hadron Total Cross-section |
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282 | |
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283 | G4double G4ComponentAntiNuclNuclearXS ::GetAntiHadronNucleonTotCrSc |
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284 | (const G4ParticleDefinition* aParticle, G4double kinEnergy) |
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285 | { |
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286 | G4double xsection, Pmass, Energy, momentum; |
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287 | const G4ParticleDefinition* theParticle = aParticle; |
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288 | Pmass=theParticle->GetPDGMass(); |
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289 | Energy=Pmass+kinEnergy; |
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290 | momentum=std::sqrt(Energy*Energy-Pmass*Pmass)/std::abs(theParticle->GetBaryonNumber()); |
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291 | G4double Plab = momentum / GeV; |
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292 | |
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293 | G4double B, SigAss; |
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294 | G4double C, d1, d2, d3 ; |
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295 | |
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296 | Elab = std::sqrt(Mn*Mn + Plab*Plab); // GeV |
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297 | S = 2.*Mn*Mn + 2. *Mn*Elab; // GeV^2 |
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298 | SqrtS = std::sqrt(S); // GeV |
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299 | |
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300 | B = b0+b2*std::log(SqrtS/SqrtS0)*std::log(SqrtS/SqrtS0); //GeV^(-2) |
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301 | SigAss = 36.04 +0.304*std::log(S/S0)*std::log(S/S0); //mb |
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302 | R0 = std::sqrt(0.40874044*SigAss - B); //GeV^(-2) |
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303 | |
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304 | C = 13.55; |
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305 | d1 = -4.47; |
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306 | d2 = 12.38; |
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307 | d3 = -12.43; |
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308 | xsection = SigAss*(1 + 1./(std::sqrt(S-4.*Mn*Mn)) / (std::pow(R0, 3.)) |
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309 | *C* (1+d1/SqrtS+d2/(std::pow(SqrtS,2.))+d3/(std::pow(SqrtS,3.)) )); |
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310 | |
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311 | // xsection *= millibarn; |
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312 | |
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313 | fAntiHadronNucleonTotXsc = xsection; |
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314 | return fAntiHadronNucleonTotXsc; |
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315 | } |
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316 | |
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317 | |
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318 | // |
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319 | // ///////////////////////////////////////////////////////////////////////////////// |
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320 | // Calculation of Antihadron - hadron Elastic Cross-section |
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321 | |
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322 | G4double G4ComponentAntiNuclNuclearXS :: |
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323 | GetAntiHadronNucleonElCrSc(const G4ParticleDefinition* aParticle, G4double kinEnergy) |
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324 | { |
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325 | G4double xsection; |
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326 | |
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327 | G4double SigAss; |
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328 | G4double C, d1, d2, d3 ; |
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329 | |
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330 | GetAntiHadronNucleonTotCrSc(aParticle,kinEnergy); |
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331 | |
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332 | SigAss = 4.5 + 0.101*std::log(S/S0)*std::log(S/S0); //mb |
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333 | |
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334 | C = 59.27; |
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335 | d1 = -6.95; |
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336 | d2 = 23.54; |
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337 | d3 = -25.34; |
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338 | |
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339 | xsection = SigAss* (1 + 1. / (std::sqrt(S-4.*Mn*Mn)) / (std::pow(R0, 3.)) |
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340 | *C* ( 1+d1/SqrtS+d2/(std::pow(SqrtS,2.))+d3/(std::pow(SqrtS,3.)) )); |
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341 | |
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342 | // xsection *= millibarn; |
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343 | |
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344 | fAntiHadronNucleonElXsc = xsection; |
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345 | return fAntiHadronNucleonElXsc; |
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346 | } |
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347 | |
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348 | |
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349 | |
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