[968] | 1 | // |
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| 2 | // ******************************************************************** |
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| 3 | // * License and Disclaimer * |
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| 4 | // * * |
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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| 7 | // * conditions of the Geant4 Software License, included in the file * |
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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| 9 | // * include a list of copyright holders. * |
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| 10 | // * * |
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| 11 | // * Neither the authors of this software system, nor their employing * |
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| 12 | // * institutes,nor the agencies providing financial support for this * |
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| 13 | // * work make any representation or warranty, express or implied, * |
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| 14 | // * regarding this software system or assume any liability for its * |
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| 15 | // * use. Please see the license in the file LICENSE and URL above * |
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| 16 | // * for the full disclaimer and the limitation of liability. * |
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| 17 | // * * |
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| 18 | // * This code implementation is the result of the scientific and * |
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| 19 | // * technical work of the GEANT4 collaboration. * |
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| 20 | // * By using, copying, modifying or distributing the software (or * |
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| 21 | // * any work based on the software) you agree to acknowledge its * |
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| 22 | // * use in resulting scientific publications, and indicate your * |
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| 23 | // * acceptance of all terms of the Geant4 Software license. * |
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| 24 | // ******************************************************************** |
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| 25 | // |
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| 26 | // |
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| 27 | // 24.11.08 V. Grichine - first implementation |
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| 28 | // |
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| 29 | |
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| 30 | #include "G4GGNuclNuclCrossSection.hh" |
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| 31 | |
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| 32 | #include "G4ParticleTable.hh" |
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| 33 | #include "G4IonTable.hh" |
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| 34 | #include "G4ParticleDefinition.hh" |
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[1340] | 35 | #include "G4HadTmpUtil.hh" |
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[968] | 36 | |
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| 37 | |
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[1340] | 38 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 39 | // |
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| 40 | // |
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| 41 | |
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| 42 | G4GGNuclNuclCrossSection::G4GGNuclNuclCrossSection() |
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| 43 | : fUpperLimit( 100000 * GeV ), |
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[1055] | 44 | fLowerLimit( 0.1 * MeV ), |
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[968] | 45 | fRadiusConst( 1.08*fermi ) // 1.1, 1.3 ? |
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| 46 | { |
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| 47 | theProton = G4Proton::Proton(); |
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| 48 | theNeutron = G4Neutron::Neutron(); |
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| 49 | } |
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| 50 | |
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[1340] | 51 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 52 | // |
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| 53 | // |
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| 54 | |
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| 55 | G4GGNuclNuclCrossSection::~G4GGNuclNuclCrossSection() |
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[1340] | 56 | {} |
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[968] | 57 | |
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[1340] | 58 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 59 | // |
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| 60 | // |
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| 61 | |
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| 62 | |
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| 63 | G4bool |
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| 64 | G4GGNuclNuclCrossSection::IsApplicable(const G4DynamicParticle* aDP, |
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[1340] | 65 | const G4Element* anElement) |
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[968] | 66 | { |
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[1340] | 67 | G4int Z = G4lrint(anElement->GetZ()); |
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| 68 | G4int N = G4lrint(anElement->GetN()); |
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| 69 | return IsIsoApplicable(aDP, Z, N); |
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[968] | 70 | } |
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| 71 | |
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[1340] | 72 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 73 | // |
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| 74 | // |
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| 75 | |
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| 76 | G4bool |
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[1340] | 77 | G4GGNuclNuclCrossSection::IsIsoApplicable(const G4DynamicParticle* aDP, |
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| 78 | G4int Z, G4int) |
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[968] | 79 | { |
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[1340] | 80 | G4bool applicable = false; |
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[968] | 81 | G4double kineticEnergy = aDP->GetKineticEnergy(); |
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| 82 | |
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[1340] | 83 | if (kineticEnergy >= fLowerLimit && Z > 1) applicable = true; |
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[968] | 84 | return applicable; |
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| 85 | } |
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| 86 | |
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[1340] | 87 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 88 | // |
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[1340] | 89 | // Calculates total and inelastic Xsc, derives elastic as total - inelastic |
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| 90 | // accordong to Glauber model with Gribov correction calculated in the dipole |
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| 91 | // approximation on light cone. Gaussian density helps to calculate rest |
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| 92 | // integrals of the model. [1] B.Z. Kopeliovich, nucl-th/0306044 |
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[968] | 93 | |
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| 94 | |
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| 95 | G4double G4GGNuclNuclCrossSection:: |
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[1340] | 96 | GetCrossSection(const G4DynamicParticle* aParticle, const G4Element* anElement, |
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| 97 | G4double T) |
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[968] | 98 | { |
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[1340] | 99 | G4int Z = G4lrint(anElement->GetZ()); |
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| 100 | G4int N = G4lrint(anElement->GetN()); |
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| 101 | return GetZandACrossSection(aParticle, Z, N, T); |
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[968] | 102 | } |
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| 103 | |
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[1340] | 104 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 105 | // |
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[1340] | 106 | // Calculates total and inelastic Xsc, derives elastic as total - inelastic |
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| 107 | // accordong to Glauber model with Gribov correction calculated in the dipole |
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| 108 | // approximation on light cone. Gaussian density of point-like nucleons helps |
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| 109 | // to calculate rest integrals of the model. [1] B.Z. Kopeliovich, |
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| 110 | // nucl-th/0306044 + simplification above |
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[968] | 111 | |
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| 112 | |
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| 113 | G4double G4GGNuclNuclCrossSection:: |
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[1340] | 114 | GetZandACrossSection(const G4DynamicParticle* aParticle, |
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| 115 | G4int tZ, G4int tA, G4double) |
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[968] | 116 | { |
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[1340] | 117 | G4double xsection; |
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| 118 | G4double sigma; |
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| 119 | G4double cofInelastic = 2.4; |
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| 120 | G4double cofTotal = 2.0; |
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| 121 | G4double nucleusSquare; |
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| 122 | G4double cB; |
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| 123 | G4double ratio; |
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[968] | 124 | |
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| 125 | G4double pZ = aParticle->GetDefinition()->GetPDGCharge(); |
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| 126 | G4double pA = aParticle->GetDefinition()->GetBaryonNumber(); |
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| 127 | |
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| 128 | G4double pTkin = aParticle->GetKineticEnergy(); |
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| 129 | pTkin /= pA; |
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| 130 | |
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| 131 | G4double pN = pA - pZ; |
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| 132 | if( pN < 0. ) pN = 0.; |
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| 133 | |
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| 134 | G4double tN = tA - tZ; |
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| 135 | if( tN < 0. ) tN = 0.; |
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| 136 | |
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| 137 | G4double tR = GetNucleusRadius(tA); |
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| 138 | G4double pR = GetNucleusRadius(pA); |
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| 139 | |
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[1340] | 140 | cB = GetCoulombBarier(aParticle, G4double(tZ), G4double(tA), pR, tR); |
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| 141 | if (cB > 0.) { |
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[1055] | 142 | |
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| 143 | sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) + |
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[968] | 144 | (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron); |
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| 145 | |
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[1055] | 146 | nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR |
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[968] | 147 | |
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[1055] | 148 | ratio = sigma/nucleusSquare; |
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| 149 | xsection = nucleusSquare*std::log( 1. + ratio ); |
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| 150 | fTotalXsc = xsection; |
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| 151 | fTotalXsc *= cB; |
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[968] | 152 | |
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[1055] | 153 | fInelasticXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic; |
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[968] | 154 | |
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[1055] | 155 | fInelasticXsc *= cB; |
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| 156 | fElasticXsc = fTotalXsc - fInelasticXsc; |
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[968] | 157 | |
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[1055] | 158 | // if (fElasticXsc < DBL_MIN) fElasticXsc = DBL_MIN; |
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| 159 | /* |
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| 160 | G4double difratio = ratio/(1.+ratio); |
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| 161 | |
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| 162 | fDiffractionXsc = 0.5*nucleusSquare*( difratio - std::log( 1. + difratio ) ); |
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| 163 | */ |
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| 164 | // production to be checked !!! edit MK xsc |
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| 165 | |
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[1228] | 166 | //sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscMK(theProton, pTkin, theProton) + |
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| 167 | // (pZ*tN+pN*tZ)*GetHadronNucleonXscMK(theProton, pTkin, theNeutron); |
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| 168 | |
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| 169 | sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) + |
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| 170 | (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron); |
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[968] | 171 | |
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[1055] | 172 | ratio = sigma/nucleusSquare; |
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| 173 | fProductionXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic; |
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[968] | 174 | |
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[1055] | 175 | if (fElasticXsc < 0.) fElasticXsc = 0.; |
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| 176 | } |
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| 177 | else |
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| 178 | { |
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| 179 | fInelasticXsc = 0.; |
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| 180 | fTotalXsc = 0.; |
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| 181 | fElasticXsc = 0.; |
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| 182 | fProductionXsc = 0.; |
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| 183 | } |
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| 184 | return fInelasticXsc; // xsection; |
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| 185 | } |
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[968] | 186 | |
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[1340] | 187 | /////////////////////////////////////////////////////////////////////////////// |
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[1055] | 188 | // |
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| 189 | // |
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| 190 | |
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| 191 | G4double G4GGNuclNuclCrossSection:: |
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[1340] | 192 | GetCoulombBarier(const G4DynamicParticle* aParticle, G4double tZ, G4double tA, |
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| 193 | G4double pR, G4double tR) |
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[1055] | 194 | { |
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| 195 | G4double ratio; |
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| 196 | G4double pZ = aParticle->GetDefinition()->GetPDGCharge(); |
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| 197 | |
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| 198 | G4double pTkin = aParticle->GetKineticEnergy(); |
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| 199 | // G4double pPlab = aParticle->GetTotalMomentum(); |
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| 200 | G4double pM = aParticle->GetDefinition()->GetPDGMass(); |
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| 201 | // G4double tM = tZ*proton_mass_c2 + (tA-tZ)*neutron_mass_c2; // ~ 1% accuracy |
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| 202 | G4double tM = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIonMass( G4int(tZ), G4int(tA) ); |
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| 203 | G4double pElab = pTkin + pM; |
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| 204 | G4double totEcm = std::sqrt(pM*pM + tM*tM + 2.*pElab*tM); |
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| 205 | // G4double pPcm = pPlab*tM/totEcm; |
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| 206 | // G4double pTcm = std::sqrt(pM*pM + pPcm*pPcm) - pM; |
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| 207 | G4double totTcm = totEcm - pM -tM; |
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| 208 | |
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| 209 | G4double bC = fine_structure_const*hbarc*pZ*tZ; |
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| 210 | bC /= pR + tR; |
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| 211 | bC /= 2.; // 4., 2. parametrisation cof ??? vmg |
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| 212 | |
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| 213 | // G4cout<<"pTkin = "<<pTkin/GeV<<"; pPlab = " |
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| 214 | // <<pPlab/GeV<<"; bC = "<<bC/GeV<<"; pTcm = "<<pTcm/GeV<<G4endl; |
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| 215 | |
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| 216 | if( totTcm <= bC ) ratio = 0.; |
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| 217 | else ratio = 1. - bC/totTcm; |
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| 218 | |
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| 219 | // if(ratio < DBL_MIN) ratio = DBL_MIN; |
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| 220 | if( ratio < 0.) ratio = 0.; |
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| 221 | |
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| 222 | // G4cout <<"ratio = "<<ratio<<G4endl; |
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| 223 | return ratio; |
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[968] | 224 | } |
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| 225 | |
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[1055] | 226 | |
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[968] | 227 | ////////////////////////////////////////////////////////////////////////// |
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| 228 | // |
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| 229 | // Return single-diffraction/inelastic cross-section ratio |
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| 230 | |
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| 231 | G4double G4GGNuclNuclCrossSection:: |
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| 232 | GetRatioSD(const G4DynamicParticle* aParticle, G4double tA, G4double tZ) |
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| 233 | { |
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| 234 | G4double sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, ratio; |
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| 235 | |
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| 236 | G4double pZ = aParticle->GetDefinition()->GetPDGCharge(); |
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| 237 | G4double pA = aParticle->GetDefinition()->GetBaryonNumber(); |
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| 238 | |
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| 239 | G4double pTkin = aParticle->GetKineticEnergy(); |
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| 240 | pTkin /= pA; |
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| 241 | |
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| 242 | G4double pN = pA - pZ; |
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| 243 | if( pN < 0. ) pN = 0.; |
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| 244 | |
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| 245 | G4double tN = tA - tZ; |
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| 246 | if( tN < 0. ) tN = 0.; |
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| 247 | |
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| 248 | G4double tR = GetNucleusRadius(tA); |
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| 249 | G4double pR = GetNucleusRadius(pA); |
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| 250 | |
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| 251 | sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) + |
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| 252 | (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron); |
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| 253 | |
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| 254 | nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR |
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| 255 | ratio = sigma/nucleusSquare; |
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[1340] | 256 | fInelasticXsc = nucleusSquare*std::log(1. + cofInelastic*ratio)/cofInelastic; |
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[968] | 257 | G4double difratio = ratio/(1.+ratio); |
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| 258 | |
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| 259 | fDiffractionXsc = 0.5*nucleusSquare*( difratio - std::log( 1. + difratio ) ); |
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| 260 | |
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| 261 | if (fInelasticXsc > 0.) ratio = fDiffractionXsc/fInelasticXsc; |
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| 262 | else ratio = 0.; |
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| 263 | |
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| 264 | return ratio; |
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| 265 | } |
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| 266 | |
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| 267 | ////////////////////////////////////////////////////////////////////////// |
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| 268 | // |
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[1340] | 269 | // Return quasi-elastic/inelastic cross-section ratio |
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[968] | 270 | |
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| 271 | G4double G4GGNuclNuclCrossSection:: |
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| 272 | GetRatioQE(const G4DynamicParticle* aParticle, G4double tA, G4double tZ) |
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| 273 | { |
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| 274 | G4double sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, ratio; |
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| 275 | |
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| 276 | G4double pZ = aParticle->GetDefinition()->GetPDGCharge(); |
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| 277 | G4double pA = aParticle->GetDefinition()->GetBaryonNumber(); |
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| 278 | |
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| 279 | G4double pTkin = aParticle->GetKineticEnergy(); |
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| 280 | pTkin /= pA; |
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| 281 | |
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| 282 | G4double pN = pA - pZ; |
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| 283 | if( pN < 0. ) pN = 0.; |
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| 284 | |
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| 285 | G4double tN = tA - tZ; |
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| 286 | if( tN < 0. ) tN = 0.; |
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| 287 | |
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| 288 | G4double tR = GetNucleusRadius(tA); |
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| 289 | G4double pR = GetNucleusRadius(pA); |
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| 290 | |
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| 291 | sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) + |
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| 292 | (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron); |
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| 293 | |
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| 294 | nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR |
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| 295 | ratio = sigma/nucleusSquare; |
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[1340] | 296 | fInelasticXsc = nucleusSquare*std::log(1. + cofInelastic*ratio)/cofInelastic; |
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[968] | 297 | |
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| 298 | // sigma = GetHNinelasticXsc(aParticle, tA, tZ); |
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| 299 | ratio = sigma/nucleusSquare; |
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[1340] | 300 | fProductionXsc = nucleusSquare*std::log(1. + cofInelastic*ratio)/cofInelastic; |
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[968] | 301 | |
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| 302 | if (fInelasticXsc > fProductionXsc) ratio = (fInelasticXsc-fProductionXsc)/fInelasticXsc; |
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| 303 | else ratio = 0.; |
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| 304 | if ( ratio < 0. ) ratio = 0.; |
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| 305 | |
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| 306 | return ratio; |
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| 307 | } |
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| 308 | |
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[1340] | 309 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 310 | // |
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| 311 | // Returns hadron-nucleon Xsc according to differnt parametrisations: |
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| 312 | // [2] E. Levin, hep-ph/9710546 |
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| 313 | // [3] U. Dersch, et al, hep-ex/9910052 |
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| 314 | // [4] M.J. Longo, et al, Phys.Rev.Lett. 33 (1974) 725 |
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| 315 | |
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| 316 | G4double |
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| 317 | G4GGNuclNuclCrossSection::GetHadronNucleonXsc(const G4DynamicParticle* aParticle, |
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[1340] | 318 | const G4Element* anElement) |
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[968] | 319 | { |
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[1340] | 320 | G4int At = G4lrint(anElement->GetN()); // number of nucleons |
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| 321 | G4int Zt = G4lrint(anElement->GetZ()); // number of protons |
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| 322 | return GetHadronNucleonXsc(aParticle, At, Zt); |
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[968] | 323 | } |
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| 324 | |
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| 325 | |
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| 326 | |
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| 327 | |
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[1340] | 328 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 329 | // |
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| 330 | // Returns hadron-nucleon Xsc according to differnt parametrisations: |
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| 331 | // [2] E. Levin, hep-ph/9710546 |
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| 332 | // [3] U. Dersch, et al, hep-ex/9910052 |
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| 333 | // [4] M.J. Longo, et al, Phys.Rev.Lett. 33 (1974) 725 |
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| 334 | |
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| 335 | G4double |
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| 336 | G4GGNuclNuclCrossSection::GetHadronNucleonXsc(const G4DynamicParticle* aParticle, |
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[1340] | 337 | G4int At, G4int Zt) |
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[968] | 338 | { |
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| 339 | G4double xsection = 0.; |
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| 340 | |
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| 341 | G4double targ_mass = G4ParticleTable::GetParticleTable()-> |
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[1340] | 342 | GetIonTable()->GetIonMass(Zt, At); |
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[968] | 343 | targ_mass = 0.939*GeV; // ~mean neutron and proton ??? |
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| 344 | |
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[1340] | 345 | G4double proj_mass = aParticle->GetMass(); |
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[968] | 346 | G4double proj_momentum = aParticle->GetMomentum().mag(); |
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| 347 | G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum ); |
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| 348 | |
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| 349 | sMand /= GeV*GeV; // in GeV for parametrisation |
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| 350 | proj_momentum /= GeV; |
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| 351 | const G4ParticleDefinition* pParticle = aParticle->GetDefinition(); |
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| 352 | |
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| 353 | if(pParticle == theNeutron) // as proton ??? |
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| 354 | { |
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[1340] | 355 | xsection = G4double(At)*(21.70*std::pow(sMand,0.0808) + 56.08*std::pow(sMand,-0.4525)); |
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[968] | 356 | } |
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| 357 | else if(pParticle == theProton) |
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| 358 | { |
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[1340] | 359 | xsection = G4double(At)*(21.70*std::pow(sMand,0.0808) + 56.08*std::pow(sMand,-0.4525)); |
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[968] | 360 | } |
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| 361 | |
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| 362 | xsection *= millibarn; |
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| 363 | return xsection; |
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| 364 | } |
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| 365 | |
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| 366 | |
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[1340] | 367 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 368 | // |
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| 369 | // Returns hadron-nucleon Xsc according to PDG parametrisation (2005): |
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| 370 | // http://pdg.lbl.gov/2006/reviews/hadronicrpp.pdf |
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| 371 | |
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| 372 | G4double |
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| 373 | G4GGNuclNuclCrossSection::GetHadronNucleonXscPDG(const G4DynamicParticle* aParticle, |
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[1340] | 374 | const G4Element* anElement) |
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[968] | 375 | { |
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[1340] | 376 | G4int At = G4lrint(anElement->GetN()); // number of nucleons |
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| 377 | G4int Zt = G4lrint(anElement->GetZ()); // number of protons |
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[968] | 378 | return GetHadronNucleonXscPDG( aParticle, At, Zt ); |
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| 379 | } |
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| 380 | |
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| 381 | |
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[1340] | 382 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 383 | // |
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| 384 | // Returns hadron-nucleon Xsc according to PDG parametrisation (2005): |
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| 385 | // http://pdg.lbl.gov/2006/reviews/hadronicrpp.pdf |
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| 386 | // At = number of nucleons, Zt = number of protons |
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| 387 | |
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| 388 | G4double |
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| 389 | G4GGNuclNuclCrossSection::GetHadronNucleonXscPDG(const G4DynamicParticle* aParticle, |
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[1340] | 390 | G4int At, G4int Zt) |
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[968] | 391 | { |
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| 392 | G4double xsection = 0.; |
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| 393 | |
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| 394 | G4double Nt = At-Zt; // number of neutrons |
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| 395 | if (Nt < 0.) Nt = 0.; |
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| 396 | |
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| 397 | G4double targ_mass = G4ParticleTable::GetParticleTable()-> |
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[1340] | 398 | GetIonTable()->GetIonMass(Zt, At); |
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[968] | 399 | targ_mass = 0.939*GeV; // ~mean neutron and proton ??? |
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| 400 | |
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| 401 | G4double proj_mass = aParticle->GetMass(); |
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| 402 | G4double proj_momentum = aParticle->GetMomentum().mag(); |
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| 403 | G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum ); |
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| 404 | sMand /= GeV*GeV; // in GeV for parametrisation |
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| 405 | |
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| 406 | // General PDG fit constants |
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| 407 | |
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| 408 | G4double s0 = 5.38*5.38; // in Gev^2 |
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| 409 | G4double eta1 = 0.458; |
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| 410 | G4double eta2 = 0.458; |
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| 411 | G4double B = 0.308; |
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| 412 | |
---|
| 413 | const G4ParticleDefinition* pParticle = aParticle->GetDefinition(); |
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| 414 | |
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| 415 | if(pParticle == theNeutron) // proton-neutron fit |
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| 416 | { |
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[1340] | 417 | xsection = G4double(Zt)*( 35.80 + B*std::pow(std::log(sMand/s0),2.) |
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| 418 | + 40.15*std::pow(sMand,-eta1) - 30.*std::pow(sMand,-eta2)); |
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| 419 | xsection += Nt*(35.45 + B*std::pow(std::log(sMand/s0),2.) |
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| 420 | + 42.53*std::pow(sMand,-eta1) - 33.34*std::pow(sMand,-eta2)); // pp for nn |
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[968] | 421 | } |
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| 422 | else if(pParticle == theProton) |
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| 423 | { |
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[1340] | 424 | xsection = G4double(Zt)*(35.45 + B*std::pow(std::log(sMand/s0),2.) |
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| 425 | + 42.53*std::pow(sMand,-eta1) - 33.34*std::pow(sMand,-eta2)); |
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[968] | 426 | |
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[1340] | 427 | xsection += Nt*(35.80 + B*std::pow(std::log(sMand/s0),2.) |
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| 428 | + 40.15*std::pow(sMand,-eta1) - 30.*std::pow(sMand,-eta2)); |
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[968] | 429 | } |
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| 430 | xsection *= millibarn; // parametrised in mb |
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| 431 | return xsection; |
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| 432 | } |
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| 433 | |
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| 434 | |
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[1340] | 435 | /////////////////////////////////////////////////////////////////////////////// |
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[968] | 436 | // |
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| 437 | // Returns nucleon-nucleon cross-section based on N. Starkov parametrisation of |
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| 438 | // data from mainly http://wwwppds.ihep.su:8001/c5-6A.html database |
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| 439 | // projectile nucleon is pParticle with pTkin shooting target nucleon tParticle |
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| 440 | |
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| 441 | G4double |
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[1340] | 442 | G4GGNuclNuclCrossSection::GetHadronNucleonXscNS(G4ParticleDefinition* pParticle, |
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[968] | 443 | G4double pTkin, |
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| 444 | G4ParticleDefinition* tParticle) |
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| 445 | { |
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| 446 | G4double xsection(0), Delta, A0, B0; |
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| 447 | G4double hpXsc(0); |
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| 448 | G4double hnXsc(0); |
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| 449 | |
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[1340] | 450 | G4double targ_mass = tParticle->GetPDGMass(); |
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| 451 | G4double proj_mass = pParticle->GetPDGMass(); |
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[968] | 452 | |
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| 453 | G4double proj_energy = proj_mass + pTkin; |
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| 454 | G4double proj_momentum = std::sqrt(pTkin*(pTkin+2*proj_mass)); |
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| 455 | |
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| 456 | G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum ); |
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| 457 | |
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| 458 | sMand /= GeV*GeV; // in GeV for parametrisation |
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| 459 | proj_momentum /= GeV; |
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| 460 | proj_energy /= GeV; |
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| 461 | proj_mass /= GeV; |
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| 462 | |
---|
| 463 | // General PDG fit constants |
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| 464 | |
---|
| 465 | // G4double s0 = 5.38*5.38; // in Gev^2 |
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| 466 | // G4double eta1 = 0.458; |
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| 467 | // G4double eta2 = 0.458; |
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| 468 | // G4double B = 0.308; |
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| 469 | |
---|
| 470 | if( proj_momentum >= 10. ) // high energy: pp = nn = np |
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| 471 | // if( proj_momentum >= 2.) |
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| 472 | { |
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| 473 | Delta = 1.; |
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[1340] | 474 | if (proj_energy < 40.) Delta = 0.916+0.0021*proj_energy; |
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[968] | 475 | |
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[1340] | 476 | if (proj_momentum >= 10.) { |
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| 477 | B0 = 7.5; |
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| 478 | A0 = 100. - B0*std::log(3.0e7); |
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[968] | 479 | |
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[1340] | 480 | xsection = A0 + B0*std::log(proj_energy) - 11 |
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| 481 | + 103*std::pow(2*0.93827*proj_energy + proj_mass*proj_mass+ |
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| 482 | 0.93827*0.93827,-0.165); // mb |
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[968] | 483 | } |
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| 484 | } |
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| 485 | else // low energy pp = nn != np |
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| 486 | { |
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| 487 | if(pParticle == tParticle) // pp or nn // nn to be pp |
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| 488 | { |
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| 489 | if( proj_momentum < 0.73 ) |
---|
| 490 | { |
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| 491 | hnXsc = 23 + 50*( std::pow( std::log(0.73/proj_momentum), 3.5 ) ); |
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| 492 | } |
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| 493 | else if( proj_momentum < 1.05 ) |
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| 494 | { |
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| 495 | hnXsc = 23 + 40*(std::log(proj_momentum/0.73))* |
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| 496 | (std::log(proj_momentum/0.73)); |
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| 497 | } |
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| 498 | else // if( proj_momentum < 10. ) |
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| 499 | { |
---|
| 500 | hnXsc = 39.0 + |
---|
| 501 | 75*(proj_momentum - 1.2)/(std::pow(proj_momentum,3.0) + 0.15); |
---|
| 502 | } |
---|
| 503 | xsection = hnXsc; |
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| 504 | } |
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| 505 | else // pn to be np |
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| 506 | { |
---|
| 507 | if( proj_momentum < 0.8 ) |
---|
| 508 | { |
---|
| 509 | hpXsc = 33+30*std::pow(std::log(proj_momentum/1.3),4.0); |
---|
| 510 | } |
---|
| 511 | else if( proj_momentum < 1.4 ) |
---|
| 512 | { |
---|
| 513 | hpXsc = 33+30*std::pow(std::log(proj_momentum/0.95),2.0); |
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| 514 | } |
---|
| 515 | else // if( proj_momentum < 10. ) |
---|
| 516 | { |
---|
| 517 | hpXsc = 33.3+ |
---|
| 518 | 20.8*(std::pow(proj_momentum,2.0)-1.35)/ |
---|
| 519 | (std::pow(proj_momentum,2.50)+0.95); |
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| 520 | } |
---|
| 521 | xsection = hpXsc; |
---|
| 522 | } |
---|
| 523 | } |
---|
| 524 | xsection *= millibarn; // parametrised in mb |
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| 525 | return xsection; |
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| 526 | } |
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| 527 | |
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[1340] | 528 | ///////////////////////////////////////////////////////////////////////////////// |
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[968] | 529 | // |
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| 530 | // Returns hadron-nucleon inelastic cross-section based on FTF-parametrisation |
---|
| 531 | |
---|
| 532 | G4double |
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| 533 | G4GGNuclNuclCrossSection::GetHNinelasticXscVU(const G4DynamicParticle* aParticle, |
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[1340] | 534 | G4int At, G4int Zt) |
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[968] | 535 | { |
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[1340] | 536 | G4int PDGcode = aParticle->GetDefinition()->GetPDGEncoding(); |
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[968] | 537 | G4int absPDGcode = std::abs(PDGcode); |
---|
| 538 | G4double Elab = aParticle->GetTotalEnergy(); |
---|
| 539 | // (s - 2*0.88*GeV*GeV)/(2*0.939*GeV)/GeV; |
---|
| 540 | G4double Plab = aParticle->GetMomentum().mag(); |
---|
| 541 | // std::sqrt(Elab * Elab - 0.88); |
---|
| 542 | |
---|
| 543 | Elab /= GeV; |
---|
| 544 | Plab /= GeV; |
---|
| 545 | |
---|
| 546 | G4double LogPlab = std::log( Plab ); |
---|
| 547 | G4double sqrLogPlab = LogPlab * LogPlab; |
---|
| 548 | |
---|
| 549 | //G4cout<<"Plab = "<<Plab<<G4endl; |
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| 550 | |
---|
| 551 | G4double NumberOfTargetProtons = Zt; |
---|
| 552 | G4double NumberOfTargetNucleons = At; |
---|
| 553 | G4double NumberOfTargetNeutrons = NumberOfTargetNucleons - NumberOfTargetProtons; |
---|
| 554 | |
---|
| 555 | if(NumberOfTargetNeutrons < 0.) NumberOfTargetNeutrons = 0.; |
---|
| 556 | |
---|
| 557 | G4double Xtotal = 0., Xelastic = 0., Xinelastic =0.; |
---|
| 558 | |
---|
| 559 | if( absPDGcode > 1000 ) //------Projectile is baryon -------- |
---|
| 560 | { |
---|
| 561 | G4double XtotPP = 48.0 + 0. *std::pow(Plab, 0. ) + |
---|
| 562 | 0.522*sqrLogPlab - 4.51*LogPlab; |
---|
| 563 | |
---|
| 564 | G4double XtotPN = 47.3 + 0. *std::pow(Plab, 0. ) + |
---|
| 565 | 0.513*sqrLogPlab - 4.27*LogPlab; |
---|
| 566 | |
---|
| 567 | G4double XelPP = 11.9 + 26.9*std::pow(Plab,-1.21) + |
---|
| 568 | 0.169*sqrLogPlab - 1.85*LogPlab; |
---|
| 569 | |
---|
| 570 | G4double XelPN = 11.9 + 26.9*std::pow(Plab,-1.21) + |
---|
| 571 | 0.169*sqrLogPlab - 1.85*LogPlab; |
---|
| 572 | |
---|
| 573 | Xtotal = ( NumberOfTargetProtons * XtotPP + |
---|
| 574 | NumberOfTargetNeutrons * XtotPN ); |
---|
| 575 | |
---|
| 576 | Xelastic = ( NumberOfTargetProtons * XelPP + |
---|
| 577 | NumberOfTargetNeutrons * XelPN ); |
---|
| 578 | } |
---|
[1340] | 579 | |
---|
[968] | 580 | Xinelastic = Xtotal - Xelastic; |
---|
| 581 | if(Xinelastic < 0.) Xinelastic = 0.; |
---|
| 582 | |
---|
| 583 | return Xinelastic*= millibarn; |
---|
| 584 | } |
---|
| 585 | |
---|
[1340] | 586 | /////////////////////////////////////////////////////////////////////////////// |
---|
[968] | 587 | // |
---|
| 588 | // |
---|
| 589 | |
---|
| 590 | G4double |
---|
[1340] | 591 | G4GGNuclNuclCrossSection::GetNucleusRadius(const G4DynamicParticle* , |
---|
| 592 | const G4Element* anElement) |
---|
[968] | 593 | { |
---|
[1340] | 594 | G4double At = anElement->GetN(); |
---|
[968] | 595 | G4double oneThird = 1.0/3.0; |
---|
| 596 | G4double cubicrAt = std::pow (At, oneThird); |
---|
| 597 | |
---|
| 598 | G4double R; // = fRadiusConst*cubicrAt; |
---|
| 599 | R = fRadiusConst*cubicrAt; |
---|
| 600 | |
---|
| 601 | G4double meanA = 21.; |
---|
| 602 | G4double tauA1 = 40.; |
---|
| 603 | G4double tauA2 = 10.; |
---|
| 604 | G4double tauA3 = 5.; |
---|
| 605 | |
---|
| 606 | G4double a1 = 0.85; |
---|
| 607 | G4double b1 = 1. - a1; |
---|
| 608 | |
---|
| 609 | G4double b2 = 0.3; |
---|
| 610 | G4double b3 = 4.; |
---|
| 611 | |
---|
| 612 | if (At > 20.) // 20. |
---|
| 613 | { |
---|
| 614 | R *= ( a1 + b1*std::exp( -(At - meanA)/tauA1) ); |
---|
| 615 | } |
---|
| 616 | else if (At > 3.5) |
---|
| 617 | { |
---|
| 618 | R *= ( 1.0 + b2*( 1. - std::exp( (At - meanA)/tauA2) ) ); |
---|
| 619 | } |
---|
| 620 | else |
---|
| 621 | { |
---|
| 622 | R *= ( 1.0 + b3*( 1. - std::exp( (At - meanA)/tauA3) ) ); |
---|
[1340] | 623 | } |
---|
| 624 | |
---|
[968] | 625 | return R; |
---|
| 626 | } |
---|
| 627 | |
---|
[1340] | 628 | /////////////////////////////////////////////////////////////////////////////// |
---|
[968] | 629 | // |
---|
| 630 | // |
---|
| 631 | |
---|
| 632 | G4double |
---|
| 633 | G4GGNuclNuclCrossSection::GetNucleusRadius(G4double At) |
---|
| 634 | { |
---|
| 635 | G4double R; |
---|
| 636 | R = GetNucleusRadiusDE(At); |
---|
| 637 | |
---|
| 638 | return R; |
---|
| 639 | } |
---|
| 640 | |
---|
| 641 | /////////////////////////////////////////////////////////////////// |
---|
| 642 | |
---|
| 643 | G4double |
---|
| 644 | G4GGNuclNuclCrossSection::GetNucleusRadiusGG(G4double At) |
---|
| 645 | { |
---|
| 646 | G4double oneThird = 1.0/3.0; |
---|
| 647 | G4double cubicrAt = std::pow (At, oneThird); |
---|
| 648 | |
---|
[1340] | 649 | G4double R; // = fRadiusConst*cubicrAt; |
---|
[968] | 650 | R = fRadiusConst*cubicrAt; |
---|
| 651 | |
---|
| 652 | G4double meanA = 20.; |
---|
[1340] | 653 | G4double tauA = 20.; |
---|
[968] | 654 | |
---|
| 655 | if ( At > 20.) // 20. |
---|
| 656 | { |
---|
| 657 | R *= ( 0.8 + 0.2*std::exp( -(At - meanA)/tauA) ); |
---|
| 658 | } |
---|
| 659 | else |
---|
| 660 | { |
---|
| 661 | R *= ( 1.0 + 0.1*( 1. - std::exp( (At - meanA)/tauA) ) ); |
---|
| 662 | } |
---|
| 663 | |
---|
| 664 | return R; |
---|
| 665 | } |
---|
| 666 | |
---|
| 667 | |
---|
| 668 | G4double |
---|
| 669 | G4GGNuclNuclCrossSection::GetNucleusRadiusDE(G4double A) |
---|
| 670 | { |
---|
| 671 | // algorithm from diffuse-elastic |
---|
| 672 | |
---|
| 673 | G4double R, r0, a11, a12, a13, a2, a3; |
---|
| 674 | |
---|
| 675 | a11 = 1.26; // 1.08, 1.16 |
---|
| 676 | a12 = 1.; // 1.08, 1.16 |
---|
| 677 | a13 = 1.12; // 1.08, 1.16 |
---|
| 678 | a2 = 1.1; |
---|
| 679 | a3 = 1.; |
---|
| 680 | |
---|
| 681 | |
---|
[1340] | 682 | if (A < 50.) |
---|
[968] | 683 | { |
---|
| 684 | if( 10 < A && A <= 15. ) r0 = a11*( 1 - std::pow(A, -2./3.) )*fermi; // 1.08*fermi; |
---|
| 685 | else if( 15 < A && A <= 20 ) r0 = a12*( 1 - std::pow(A, -2./3.) )*fermi; |
---|
| 686 | else if( 20 < A && A <= 30 ) r0 = a13*( 1 - std::pow(A, -2./3.) )*fermi; |
---|
| 687 | else r0 = a2*fermi; |
---|
| 688 | |
---|
| 689 | R = r0*std::pow( A, 1./3. ); |
---|
| 690 | } |
---|
| 691 | else |
---|
| 692 | { |
---|
| 693 | r0 = a3*fermi; |
---|
| 694 | |
---|
| 695 | R = r0*std::pow(A, 0.27); |
---|
| 696 | } |
---|
| 697 | return R; |
---|
| 698 | } |
---|
| 699 | |
---|
| 700 | |
---|
[1340] | 701 | /////////////////////////////////////////////////////////////////////////////// |
---|
[968] | 702 | // |
---|
| 703 | // |
---|
| 704 | |
---|
[1340] | 705 | G4double G4GGNuclNuclCrossSection::CalculateEcmValue(const G4double mp, |
---|
| 706 | const G4double mt, |
---|
| 707 | const G4double Plab) |
---|
[968] | 708 | { |
---|
| 709 | G4double Elab = std::sqrt ( mp * mp + Plab * Plab ); |
---|
| 710 | G4double Ecm = std::sqrt ( mp * mp + mt * mt + 2 * Elab * mt ); |
---|
| 711 | // G4double Pcm = Plab * mt / Ecm; |
---|
| 712 | // G4double KEcm = std::sqrt ( Pcm * Pcm + mp * mp ) - mp; |
---|
| 713 | |
---|
| 714 | return Ecm ; // KEcm; |
---|
| 715 | } |
---|
| 716 | |
---|
| 717 | |
---|
[1340] | 718 | /////////////////////////////////////////////////////////////////////////////// |
---|
[968] | 719 | // |
---|
| 720 | // |
---|
| 721 | |
---|
[1340] | 722 | G4double G4GGNuclNuclCrossSection::CalcMandelstamS(const G4double mp, |
---|
| 723 | const G4double mt, |
---|
| 724 | const G4double Plab) |
---|
[968] | 725 | { |
---|
| 726 | G4double Elab = std::sqrt ( mp * mp + Plab * Plab ); |
---|
| 727 | G4double sMand = mp*mp + mt*mt + 2*Elab*mt ; |
---|
| 728 | |
---|
| 729 | return sMand; |
---|
| 730 | } |
---|
| 731 | |
---|
| 732 | // |
---|
| 733 | // |
---|
[1340] | 734 | /////////////////////////////////////////////////////////////////////////////// |
---|