[819] | 1 | // |
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| 2 | // ******************************************************************** |
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| 3 | // * License and Disclaimer * |
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| 4 | // * * |
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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| 7 | // * conditions of the Geant4 Software License, included in the file * |
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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| 9 | // * include a list of copyright holders. * |
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| 10 | // * * |
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| 11 | // * Neither the authors of this software system, nor their employing * |
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| 12 | // * institutes,nor the agencies providing financial support for this * |
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| 13 | // * work make any representation or warranty, express or implied, * |
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| 14 | // * regarding this software system or assume any liability for its * |
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| 15 | // * use. Please see the license in the file LICENSE and URL above * |
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| 16 | // * for the full disclaimer and the limitation of liability. * |
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| 17 | // * * |
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| 18 | // * This code implementation is the result of the scientific and * |
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| 19 | // * technical work of the GEANT4 collaboration. * |
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| 20 | // * By using, copying, modifying or distributing the software (or * |
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| 21 | // * any work based on the software) you agree to acknowledge its * |
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| 22 | // * use in resulting scientific publications, and indicate your * |
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| 23 | // * acceptance of all terms of the Geant4 Software license. * |
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| 24 | // ******************************************************************** |
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| 25 | // |
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| 26 | // G4RKFieldIntegrator |
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| 27 | #include "G4RKFieldIntegrator.hh" |
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| 28 | #include "G4NucleiProperties.hh" |
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| 29 | #include "G4FermiMomentum.hh" |
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| 30 | #include "G4NuclearFermiDensity.hh" |
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| 31 | #include "G4NuclearShellModelDensity.hh" |
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| 32 | #include "G4Nucleon.hh" |
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| 33 | |
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| 34 | // Class G4RKFieldIntegrator |
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| 35 | //************************************************************************************************************************************* |
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| 36 | |
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| 37 | // only theActive are propagated, nothing else |
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| 38 | // only theSpectators define the field, nothing else |
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| 39 | |
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| 40 | void G4RKFieldIntegrator::Transport(G4KineticTrackVector &theActive, const G4KineticTrackVector &theSpectators, G4double theTimeStep) |
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| 41 | { |
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| 42 | (void)theActive; |
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| 43 | (void)theSpectators; |
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| 44 | (void)theTimeStep; |
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| 45 | } |
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| 46 | |
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| 47 | |
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| 48 | G4double G4RKFieldIntegrator::CalculateTotalEnergy(const G4KineticTrackVector& Barions) |
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| 49 | { |
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| 50 | const G4double Alpha = 0.25/fermi/fermi; |
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| 51 | const G4double t1 = -7264.04*fermi*fermi*fermi; |
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| 52 | const G4double tGamma = 87.65*fermi*fermi*fermi*fermi*fermi*fermi; |
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| 53 | // const G4double Gamma = 1.676; |
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| 54 | const G4double Vo = -0.498*fermi; |
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| 55 | const G4double GammaY = 1.4*fermi; |
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| 56 | |
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| 57 | G4double Etot = 0; |
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| 58 | G4int nBarion = Barions.size(); |
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| 59 | for(G4int c1 = 0; c1 < nBarion; c1++) |
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| 60 | { |
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| 61 | G4KineticTrack* p1 = Barions.operator[](c1); |
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| 62 | // Ekin |
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| 63 | Etot += p1->Get4Momentum().e(); |
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| 64 | for(G4int c2 = c1 + 1; c2 < nBarion; c2++) |
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| 65 | { |
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| 66 | G4KineticTrack* p2 = Barions.operator[](c2); |
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| 67 | G4ThreeVector rv = p1->GetPosition() - p2->GetPosition(); |
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| 68 | G4double r12 = std::sqrt(rv*rv)*fermi; |
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| 69 | |
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| 70 | // Esk2 |
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| 71 | Etot += t1*std::pow(Alpha/pi, 3/2)*std::exp(-Alpha*r12*r12); |
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| 72 | |
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| 73 | // Eyuk |
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| 74 | Etot += Vo*0.5/r12*std::exp(1/(4*Alpha*GammaY*GammaY))* |
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| 75 | (std::exp(-r12/GammaY)*(1 - Erf(0.5/GammaY/std::sqrt(Alpha) - std::sqrt(Alpha)*r12)) - |
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| 76 | std::exp( r12/GammaY)*(1 - Erf(0.5/GammaY/std::sqrt(Alpha) + std::sqrt(Alpha)*r12))); |
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| 77 | |
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| 78 | // Ecoul |
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| 79 | Etot += 1.44*p1->GetDefinition()->GetPDGCharge()*p2->GetDefinition()->GetPDGCharge()/r12*Erf(std::sqrt(Alpha)*r12); |
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| 80 | |
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| 81 | // Epaul |
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| 82 | Etot = 0; |
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| 83 | |
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| 84 | for(G4int c3 = c2 + 1; c3 < nBarion; c3++) |
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| 85 | { |
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| 86 | G4KineticTrack* p3 = Barions.operator[](c3); |
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| 87 | G4ThreeVector rv = p1->GetPosition() - p3->GetPosition(); |
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| 88 | G4double r13 = std::sqrt(rv*rv)*fermi; |
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| 89 | |
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| 90 | // Esk3 |
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| 91 | Etot = tGamma*std::pow(4*Alpha*Alpha/3/pi/pi, 1.5)*std::exp(-Alpha*(r12*r12 + r13*r13)); |
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| 92 | } |
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| 93 | } |
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| 94 | } |
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| 95 | return Etot; |
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| 96 | } |
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| 97 | |
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| 98 | //************************************************************************************************ |
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| 99 | // originated from the Numerical recipes error function |
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| 100 | G4double G4RKFieldIntegrator::Erf(G4double X) |
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| 101 | { |
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| 102 | const G4double Z1 = 1; |
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| 103 | const G4double HF = Z1/2; |
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| 104 | const G4double C1 = 0.56418958; |
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| 105 | |
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| 106 | const G4double P10 = +3.6767877; |
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| 107 | const G4double Q10 = +3.2584593; |
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| 108 | const G4double P11 = -9.7970465E-2; |
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| 109 | |
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| 110 | static G4double P2[5] = { 7.3738883, 6.8650185, 3.0317993, 0.56316962, 4.3187787e-5 }; |
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| 111 | static G4double Q2[5] = { 7.3739609, 15.184908, 12.79553, 5.3542168, 1. }; |
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| 112 | |
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| 113 | const G4double P30 = -1.2436854E-1; |
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| 114 | const G4double Q30 = +4.4091706E-1; |
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| 115 | const G4double P31 = -9.6821036E-2; |
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| 116 | |
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| 117 | G4double V = std::abs(X); |
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| 118 | G4double H; |
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| 119 | G4double Y; |
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| 120 | G4int c1; |
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| 121 | |
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| 122 | if(V < HF) |
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| 123 | { |
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| 124 | Y = V*V; |
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| 125 | H = X*(P10 + P11*Y)/(Q10+Y); |
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| 126 | } |
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| 127 | else |
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| 128 | { |
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| 129 | if(V < 4) |
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| 130 | { |
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| 131 | G4double AP = P2[4]; |
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| 132 | G4double AQ = Q2[4]; |
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| 133 | for(c1 = 3; c1 >= 0; c1--) |
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| 134 | { |
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| 135 | AP = P2[c1] + V*AP; |
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| 136 | AQ = Q2[c1] + V*AQ; |
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| 137 | } |
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| 138 | H = 1 - std::exp(-V*V)*AP/AQ; |
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| 139 | } |
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| 140 | else |
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| 141 | { |
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| 142 | Y = 1./V*V; |
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| 143 | H = 1 - std::exp(-V*V)*(C1+Y*(P30 + P31*Y)/(Q30 + Y))/V; |
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| 144 | } |
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| 145 | if (X < 0) |
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| 146 | H =- H; |
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| 147 | } |
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| 148 | return H; |
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| 149 | } |
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| 150 | |
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| 151 | //************************************************************************************************ |
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| 152 | //This is a QMD version to calculate excitation energy of a fragment, |
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| 153 | //which consists from G4KTV &the Particles |
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| 154 | /* |
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| 155 | G4double G4RKFieldIntegrator::GetExcitationEnergy(const G4KineticTrackVector &theParticles) |
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| 156 | { |
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| 157 | // Excitation energy of a fragment consisting from A nucleons and Z protons |
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| 158 | // is Etot - Z*Mp - (A - Z)*Mn - B(A, Z), where B(A,Z) is the binding energy of fragment |
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| 159 | // and Mp, Mn are proton and neutron mass, respectively. |
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| 160 | G4int NZ = 0; |
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| 161 | G4int NA = 0; |
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| 162 | G4double Etot = CalculateTotalEnergy(theParticles); |
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| 163 | for(G4int cParticle = 0; cParticle < theParticles.length(); cParticle++) |
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| 164 | { |
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| 165 | G4KineticTrack* pKineticTrack = theParticles.at(cParticle); |
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| 166 | G4int Encoding = std::abs(pKineticTrack->GetDefinition()->GetPDGEncoding()); |
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| 167 | if (Encoding == 2212) |
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| 168 | NZ++, NA++; |
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| 169 | if (Encoding == 2112) |
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| 170 | NA++; |
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| 171 | Etot -= pKineticTrack->GetDefinition()->GetPDGMass(); |
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| 172 | } |
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| 173 | return Etot - G4NucleiProperties::GetBindingEnergy(NZ, NA); |
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| 174 | } |
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| 175 | */ |
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| 176 | |
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| 177 | //************************************************************************************************************************************* |
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| 178 | //This is a simplified method to get excitation energy of a residual |
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| 179 | // nucleus with nHitNucleons. |
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| 180 | G4double G4RKFieldIntegrator::GetExcitationEnergy(G4int nHitNucleons, const G4KineticTrackVector &) |
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| 181 | { |
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| 182 | const G4double MeanE = 50; |
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| 183 | G4double Sum = 0; |
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| 184 | for(G4int c1 = 0; c1 < nHitNucleons; c1++) |
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| 185 | { |
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| 186 | Sum += -MeanE*std::log(G4UniformRand()); |
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| 187 | } |
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| 188 | return Sum; |
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| 189 | } |
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| 190 | //************************************************************************************************************************************* |
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| 191 | |
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| 192 | /* |
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| 193 | //This is free propagation of particles for CASCADE mode. Target nucleons should be frozen |
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| 194 | void G4RKFieldIntegrator::Integrate(G4KineticTrackVector& theParticles) |
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| 195 | { |
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| 196 | for(G4int cParticle = 0; cParticle < theParticles.length(); cParticle++) |
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| 197 | { |
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| 198 | G4KineticTrack* pKineticTrack = theParticles.at(cParticle); |
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| 199 | pKineticTrack->SetPosition(pKineticTrack->GetPosition() + theTimeStep*pKineticTrack->Get4Momentum().boostVector()); |
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| 200 | } |
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| 201 | } |
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| 202 | */ |
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| 203 | //************************************************************************************************************************************* |
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| 204 | |
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| 205 | void G4RKFieldIntegrator::Integrate(const G4KineticTrackVector& theBarions, G4double theTimeStep) |
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| 206 | { |
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| 207 | for(size_t cParticle = 0; cParticle < theBarions.size(); cParticle++) |
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| 208 | { |
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| 209 | G4KineticTrack* pKineticTrack = theBarions[cParticle]; |
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| 210 | pKineticTrack->SetPosition(pKineticTrack->GetPosition() + theTimeStep*pKineticTrack->Get4Momentum().boostVector()); |
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| 211 | } |
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| 212 | } |
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| 213 | |
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| 214 | //************************************************************************************************************************************* |
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| 215 | |
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| 216 | // constant to calculate theCoulomb barrier |
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| 217 | const G4double G4RKFieldIntegrator::coulomb = 1.44 / 1.14 * MeV; |
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| 218 | |
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| 219 | // kaon's potential constant (real part only) |
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| 220 | // 0.35 + i0.82 or 0.63 + i0.89 fermi |
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| 221 | const G4double G4RKFieldIntegrator::a_kaon = 0.35; |
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| 222 | |
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| 223 | // pion's potential constant (real part only) |
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| 224 | //!! for pions it has todiffer from kaons |
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| 225 | // 0.35 + i0.82 or 0.63 + i0.89 fermi |
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| 226 | const G4double G4RKFieldIntegrator::a_pion = 0.35; |
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| 227 | |
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| 228 | // antiproton's potential constant (real part only) |
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| 229 | // 1.53 + i2.50 fermi |
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| 230 | const G4double G4RKFieldIntegrator::a_antiproton = 1.53; |
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| 231 | |
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| 232 | // methods for calculating potentials for different types of particles |
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| 233 | // aPosition is relative to the nucleus center |
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| 234 | G4double G4RKFieldIntegrator::GetNeutronPotential(G4double ) |
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| 235 | { |
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| 236 | /* |
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| 237 | const G4double Mn = 939.56563 * MeV; // mass of nuetron |
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| 238 | |
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| 239 | G4VNuclearDensity *theDencity; |
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| 240 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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| 241 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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| 242 | |
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| 243 | // GetDencity() accepts only G4ThreeVector so build it: |
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| 244 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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| 245 | G4double density = theDencity->GetDensity(aPosition); |
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| 246 | delete theDencity; |
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| 247 | |
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| 248 | G4FermiMomentum *fm = new G4FermiMomentum(); |
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| 249 | fm->Init(theA, theZ); |
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| 250 | G4double fermiMomentum = fm->GetFermiMomentum(density); |
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| 251 | delete fm; |
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| 252 | |
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| 253 | return sqr(fermiMomentum)/(2 * Mn) |
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| 254 | + G4CreateNucleus::GetBindingEnergy(theZ, theA)/theA; |
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| 255 | //+ G4NucleiProperties::GetBindingEnergy(theZ, theA)/theA; |
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| 256 | */ |
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| 257 | |
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| 258 | return 0.0; |
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| 259 | } |
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| 260 | |
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| 261 | G4double G4RKFieldIntegrator::GetProtonPotential(G4double ) |
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| 262 | { |
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| 263 | /* |
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| 264 | // calculate Coulomb barrier value |
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| 265 | G4double theCoulombBarrier = coulomb * theZ/(1. + std::pow(theA, 1./3.)); |
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| 266 | const G4double Mp = 938.27231 * MeV; // mass of proton |
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| 267 | |
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| 268 | G4VNuclearDensity *theDencity; |
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| 269 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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| 270 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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| 271 | |
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| 272 | // GetDencity() accepts only G4ThreeVector so build it: |
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| 273 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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| 274 | G4double density = theDencity->GetDensity(aPosition); |
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| 275 | delete theDencity; |
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| 276 | |
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| 277 | G4FermiMomentum *fm = new G4FermiMomentum(); |
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| 278 | fm->Init(theA, theZ); |
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| 279 | G4double fermiMomentum = fm->GetFermiMomentum(density); |
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| 280 | delete fm; |
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| 281 | |
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| 282 | return sqr(fermiMomentum)/ (2 * Mp) |
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| 283 | + G4CreateNucleus::GetBindingEnergy(theZ, theA)/theA; |
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| 284 | //+ G4NucleiProperties::GetBindingEnergy(theZ, theA)/theA |
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| 285 | + theCoulombBarrier; |
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| 286 | */ |
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| 287 | |
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| 288 | return 0.0; |
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| 289 | } |
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| 290 | |
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| 291 | G4double G4RKFieldIntegrator::GetAntiprotonPotential(G4double ) |
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| 292 | { |
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| 293 | /* |
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| 294 | //G4double theM = G4NucleiProperties::GetAtomicMass(theA, theZ); |
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| 295 | G4double theM = theZ * G4Proton::Proton()->GetPDGMass() |
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| 296 | + (theA - theZ) * G4Neutron::Neutron()->GetPDGMass() |
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| 297 | + G4CreateNucleus::GetBindingEnergy(theZ, theA); |
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| 298 | |
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| 299 | const G4double Mp = 938.27231 * MeV; // mass of proton |
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| 300 | G4double mu = (theM * Mp)/(theM + Mp); |
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| 301 | |
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| 302 | // antiproton's potential coefficient |
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| 303 | // V = coeff_antiproton * nucleus_density |
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| 304 | G4double coeff_antiproton = -2.*pi/mu * (1. + Mp) * a_antiproton; |
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| 305 | |
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| 306 | G4VNuclearDensity *theDencity; |
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| 307 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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| 308 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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| 309 | |
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| 310 | // GetDencity() accepts only G4ThreeVector so build it: |
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| 311 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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| 312 | G4double density = theDencity->GetDensity(aPosition); |
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| 313 | delete theDencity; |
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| 314 | |
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| 315 | return coeff_antiproton * density; |
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| 316 | */ |
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| 317 | |
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| 318 | return 0.0; |
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| 319 | } |
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| 320 | |
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| 321 | G4double G4RKFieldIntegrator::GetKaonPotential(G4double ) |
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| 322 | { |
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| 323 | /* |
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| 324 | //G4double theM = G4NucleiProperties::GetAtomicMass(theA, theZ); |
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| 325 | G4double theM = theZ * G4Proton::Proton()->GetPDGMass() |
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| 326 | + (theA - theZ) * G4Neutron::Neutron()->GetPDGMass() |
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| 327 | + G4CreateNucleus::GetBindingEnergy(theZ, theA); |
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| 328 | |
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| 329 | const G4double Mk = 496. * MeV; // mass of "kaon" |
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| 330 | G4double mu = (theM * Mk)/(theM + Mk); |
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| 331 | |
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| 332 | // kaon's potential coefficient |
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| 333 | // V = coeff_kaon * nucleus_density |
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| 334 | G4double coeff_kaon = -2.*pi/mu * (1. + Mk/theM) * a_kaon; |
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| 335 | |
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| 336 | G4VNuclearDensity *theDencity; |
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| 337 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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| 338 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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| 339 | |
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| 340 | // GetDencity() accepts only G4ThreeVector so build it: |
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| 341 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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| 342 | G4double density = theDencity->GetDensity(aPosition); |
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| 343 | delete theDencity; |
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| 344 | |
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| 345 | return coeff_kaon * density; |
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| 346 | */ |
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| 347 | |
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| 348 | return 0.0; |
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| 349 | } |
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| 350 | |
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| 351 | G4double G4RKFieldIntegrator::GetPionPotential(G4double ) |
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| 352 | { |
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| 353 | /* |
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| 354 | //G4double theM = G4NucleiProperties::GetAtomicMass(theA, theZ); |
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| 355 | G4double theM = theZ * G4Proton::Proton()->GetPDGMass() |
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| 356 | + (theA - theZ) * G4Neutron::Neutron()->GetPDGMass() |
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| 357 | + G4CreateNucleus::GetBindingEnergy(theZ, theA); |
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| 358 | |
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| 359 | const G4double Mpi = 139. * MeV; // mass of "pion" |
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| 360 | G4double mu = (theM * Mpi)/(theM + Mpi); |
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| 361 | |
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| 362 | // pion's potential coefficient |
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| 363 | // V = coeff_pion * nucleus_density |
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| 364 | G4double coeff_pion = -2.*pi/mu * (1. + Mpi) * a_pion; |
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| 365 | |
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| 366 | G4VNuclearDensity *theDencity; |
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| 367 | if(theA < 17) theDencity = new G4NuclearShellModelDensity(theA, theZ); |
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| 368 | else theDencity = new G4NuclearFermiDensity(theA, theZ); |
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| 369 | |
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| 370 | // GetDencity() accepts only G4ThreeVector so build it: |
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| 371 | G4ThreeVector aPosition(0.0, 0.0, radius); |
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| 372 | G4double density = theDencity->GetDensity(aPosition); |
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| 373 | delete theDencity; |
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| 374 | |
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| 375 | return coeff_pion * density; |
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| 376 | */ |
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| 377 | |
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| 378 | return 0.0; |
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| 379 | } |
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