[1350] | 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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