[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 | // |
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| 27 | // $Id: G4DiffuseElastic.hh,v 1.13 2007/11/06 17:01:20 grichine Exp $ |
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| 28 | // GEANT4 tag $Name: $ |
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| 29 | // |
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| 30 | // |
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| 31 | // G4 Model: optical elastic scattering with 4-momentum balance |
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| 32 | // |
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| 33 | // Class Description |
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| 34 | // Final state production model for hadron nuclear elastic scattering; |
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| 35 | // Class Description - End |
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| 36 | // |
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| 37 | // |
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| 38 | // 24.05.07 V. Grichine first implementation for hadron (no Coulomb) elastic scattering |
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| 39 | // 04.09.07 V. Grichine implementation for Coulomb elastic scattering |
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| 40 | |
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| 41 | |
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| 42 | #ifndef G4DiffuseElastic_h |
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| 43 | #define G4DiffuseElastic_h 1 |
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| 44 | |
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| 45 | #include "globals.hh" |
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| 46 | #include "G4HadronicInteraction.hh" |
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| 47 | #include "G4HadProjectile.hh" |
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| 48 | #include "G4Nucleus.hh" |
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| 49 | |
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| 50 | using namespace std; |
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| 51 | |
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| 52 | class G4ParticleDefinition; |
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| 53 | class G4PhysicsTable; |
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| 54 | class G4PhysicsLogVector; |
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| 55 | |
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| 56 | class G4DiffuseElastic : public G4HadronicInteraction |
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| 57 | { |
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| 58 | public: |
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| 59 | |
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| 60 | G4DiffuseElastic(); |
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| 61 | |
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| 62 | G4DiffuseElastic(const G4ParticleDefinition* aParticle); |
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| 63 | |
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| 64 | |
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| 65 | |
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| 66 | |
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| 67 | |
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| 68 | virtual ~G4DiffuseElastic(); |
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| 69 | |
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| 70 | void Initialise(); |
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| 71 | |
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| 72 | void InitialiseOnFly(G4double Z, G4double A); |
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| 73 | |
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| 74 | void BuildAngleTable(); |
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| 75 | |
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| 76 | |
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| 77 | G4HadFinalState * ApplyYourself(const G4HadProjectile & aTrack, |
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| 78 | G4Nucleus & targetNucleus); |
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| 79 | |
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| 80 | |
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| 81 | void SetPlabLowLimit(G4double value); |
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| 82 | |
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| 83 | void SetHEModelLowLimit(G4double value); |
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| 84 | |
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| 85 | void SetQModelLowLimit(G4double value); |
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| 86 | |
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| 87 | void SetLowestEnergyLimit(G4double value); |
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| 88 | |
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| 89 | void SetRecoilKinEnergyLimit(G4double value); |
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| 90 | |
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| 91 | G4double SampleT(const G4ParticleDefinition* aParticle, |
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| 92 | G4double p, G4double A); |
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| 93 | |
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| 94 | G4double SampleTableT(const G4ParticleDefinition* aParticle, |
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| 95 | G4double p, G4double Z, G4double A); |
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| 96 | |
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| 97 | G4double SampleThetaCMS(const G4ParticleDefinition* aParticle, G4double p, G4double A); |
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| 98 | |
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| 99 | G4double SampleTableThetaCMS(const G4ParticleDefinition* aParticle, G4double p, |
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| 100 | G4double Z, G4double A); |
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| 101 | |
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| 102 | G4double GetScatteringAngle(G4int iMomentum, G4int iAngle, G4double position); |
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| 103 | |
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| 104 | G4double SampleThetaLab(const G4HadProjectile* aParticle, |
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| 105 | G4double tmass, G4double A); |
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| 106 | |
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| 107 | G4double GetDiffuseElasticXsc( const G4ParticleDefinition* particle, |
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| 108 | G4double theta, |
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| 109 | G4double momentum, |
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| 110 | G4double A ); |
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| 111 | |
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| 112 | G4double GetInvElasticXsc( const G4ParticleDefinition* particle, |
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| 113 | G4double theta, |
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| 114 | G4double momentum, |
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| 115 | G4double A, G4double Z ); |
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| 116 | |
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| 117 | G4double GetDiffuseElasticSumXsc( const G4ParticleDefinition* particle, |
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| 118 | G4double theta, |
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| 119 | G4double momentum, |
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| 120 | G4double A, G4double Z ); |
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| 121 | |
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| 122 | G4double GetInvElasticSumXsc( const G4ParticleDefinition* particle, |
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| 123 | G4double tMand, |
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| 124 | G4double momentum, |
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| 125 | G4double A, G4double Z ); |
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| 126 | |
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| 127 | G4double IntegralElasticProb( const G4ParticleDefinition* particle, |
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| 128 | G4double theta, |
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| 129 | G4double momentum, |
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| 130 | G4double A ); |
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| 131 | |
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| 132 | |
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| 133 | G4double GetCoulombElasticXsc( const G4ParticleDefinition* particle, |
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| 134 | G4double theta, |
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| 135 | G4double momentum, |
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| 136 | G4double Z ); |
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| 137 | |
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| 138 | G4double GetInvCoulombElasticXsc( const G4ParticleDefinition* particle, |
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| 139 | G4double tMand, |
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| 140 | G4double momentum, |
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| 141 | G4double A, G4double Z ); |
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| 142 | |
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| 143 | G4double GetCoulombTotalXsc( const G4ParticleDefinition* particle, |
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| 144 | G4double momentum, G4double Z ); |
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| 145 | |
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| 146 | G4double GetCoulombIntegralXsc( const G4ParticleDefinition* particle, |
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| 147 | G4double momentum, G4double Z, |
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| 148 | G4double theta1, G4double theta2 ); |
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| 149 | |
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| 150 | |
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| 151 | G4double CalculateParticleBeta( const G4ParticleDefinition* particle, |
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| 152 | G4double momentum ); |
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| 153 | |
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| 154 | G4double CalculateZommerfeld( G4double beta, G4double Z1, G4double Z2 ); |
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| 155 | |
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| 156 | G4double CalculateAm( G4double momentum, G4double n, G4double Z); |
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| 157 | |
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| 158 | G4double CalculateNuclearRad( G4double A); |
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| 159 | |
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| 160 | G4double ThetaCMStoThetaLab(const G4DynamicParticle* aParticle, |
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| 161 | G4double tmass, G4double thetaCMS); |
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| 162 | |
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| 163 | G4double ThetaLabToThetaCMS(const G4DynamicParticle* aParticle, |
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| 164 | G4double tmass, G4double thetaLab); |
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| 165 | |
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| 166 | |
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| 167 | |
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| 168 | |
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| 169 | |
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| 170 | G4double BesselJzero(G4double z); |
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| 171 | G4double BesselJone(G4double z); |
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| 172 | G4double DampFactor(G4double z); |
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| 173 | G4double BesselOneByArg(G4double z); |
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| 174 | |
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| 175 | G4double GetDiffElasticProb(G4double theta); |
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| 176 | G4double GetDiffElasticSumProb(G4double theta); |
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| 177 | G4double GetIntegrandFunction(G4double theta); |
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| 178 | |
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| 179 | |
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| 180 | G4double GetNuclearRadius(){return fNuclearRadius;}; |
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| 181 | |
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| 182 | private: |
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| 183 | |
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| 184 | |
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| 185 | G4ParticleDefinition* theProton; |
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| 186 | G4ParticleDefinition* theNeutron; |
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| 187 | G4ParticleDefinition* theDeuteron; |
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| 188 | G4ParticleDefinition* theAlpha; |
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| 189 | |
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| 190 | const G4ParticleDefinition* thePionPlus; |
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| 191 | const G4ParticleDefinition* thePionMinus; |
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| 192 | |
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| 193 | G4double lowEnergyRecoilLimit; |
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| 194 | G4double lowEnergyLimitHE; |
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| 195 | G4double lowEnergyLimitQ; |
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| 196 | G4double lowestEnergyLimit; |
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| 197 | G4double plabLowLimit; |
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| 198 | |
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| 199 | G4int fEnergyBin; |
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| 200 | G4int fAngleBin; |
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| 201 | |
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| 202 | G4PhysicsLogVector* fEnergyVector; |
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| 203 | G4PhysicsTable* fAngleTable; |
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| 204 | std::vector<G4PhysicsTable*> fAngleBank; |
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| 205 | |
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| 206 | std::vector<G4double> fElementNumberVector; |
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| 207 | std::vector<G4String> fElementNameVector; |
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| 208 | |
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| 209 | const G4ParticleDefinition* fParticle; |
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| 210 | G4double fWaveVector; |
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| 211 | G4double fAtomicWeight; |
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| 212 | G4double fAtomicNumber; |
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| 213 | G4double fNuclearRadius; |
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| 214 | G4double fBeta; |
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| 215 | G4double fZommerfeld; |
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| 216 | G4double fAm; |
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| 217 | G4bool fAddCoulomb; |
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| 218 | |
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| 219 | }; |
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| 220 | |
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| 221 | |
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| 222 | inline void G4DiffuseElastic::SetRecoilKinEnergyLimit(G4double value) |
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| 223 | { |
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| 224 | lowEnergyRecoilLimit = value; |
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| 225 | } |
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| 226 | |
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| 227 | inline void G4DiffuseElastic::SetPlabLowLimit(G4double value) |
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| 228 | { |
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| 229 | plabLowLimit = value; |
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| 230 | } |
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| 231 | |
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| 232 | inline void G4DiffuseElastic::SetHEModelLowLimit(G4double value) |
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| 233 | { |
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| 234 | lowEnergyLimitHE = value; |
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| 235 | } |
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| 236 | |
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| 237 | inline void G4DiffuseElastic::SetQModelLowLimit(G4double value) |
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| 238 | { |
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| 239 | lowEnergyLimitQ = value; |
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| 240 | } |
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| 241 | |
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| 242 | inline void G4DiffuseElastic::SetLowestEnergyLimit(G4double value) |
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| 243 | { |
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| 244 | lowestEnergyLimit = value; |
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| 245 | } |
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| 246 | |
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| 247 | |
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| 248 | ///////////////////////////////////////////////////////////// |
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| 249 | // |
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| 250 | // Bessel J0 function based on rational approximation from |
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| 251 | // J.F. Hart, Computer Approximations, New York, Willey 1968, p. 141 |
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| 252 | |
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| 253 | inline G4double G4DiffuseElastic::BesselJzero(G4double value) |
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| 254 | { |
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| 255 | G4double modvalue, value2, fact1, fact2, arg, shift, bessel; |
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| 256 | |
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| 257 | modvalue = fabs(value); |
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| 258 | |
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| 259 | if ( value < 8.0 && value > -8.0 ) |
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| 260 | { |
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| 261 | value2 = value*value; |
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| 262 | |
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| 263 | fact1 = 57568490574.0 + value2*(-13362590354.0 |
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| 264 | + value2*( 651619640.7 |
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| 265 | + value2*(-11214424.18 |
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| 266 | + value2*( 77392.33017 |
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| 267 | + value2*(-184.9052456 ) ) ) ) ); |
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| 268 | |
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| 269 | fact2 = 57568490411.0 + value2*( 1029532985.0 |
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| 270 | + value2*( 9494680.718 |
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| 271 | + value2*(59272.64853 |
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| 272 | + value2*(267.8532712 |
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| 273 | + value2*1.0 ) ) ) ); |
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| 274 | |
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| 275 | bessel = fact1/fact2; |
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| 276 | } |
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| 277 | else |
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| 278 | { |
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| 279 | arg = 8.0/modvalue; |
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| 280 | |
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| 281 | value2 = arg*arg; |
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| 282 | |
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| 283 | shift = modvalue-0.785398164; |
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| 284 | |
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| 285 | fact1 = 1.0 + value2*(-0.1098628627e-2 |
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| 286 | + value2*(0.2734510407e-4 |
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| 287 | + value2*(-0.2073370639e-5 |
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| 288 | + value2*0.2093887211e-6 ) ) ); |
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| 289 | |
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| 290 | fact2 = -0.1562499995e-1 + value2*(0.1430488765e-3 |
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| 291 | + value2*(-0.6911147651e-5 |
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| 292 | + value2*(0.7621095161e-6 |
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| 293 | - value2*0.934945152e-7 ) ) ); |
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| 294 | |
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| 295 | bessel = sqrt(0.636619772/modvalue)*(cos(shift)*fact1 - arg*sin(shift)*fact2 ); |
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| 296 | } |
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| 297 | return bessel; |
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| 298 | } |
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| 299 | |
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| 300 | ///////////////////////////////////////////////////////////// |
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| 301 | // |
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| 302 | // Bessel J1 function based on rational approximation from |
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| 303 | // J.F. Hart, Computer Approximations, New York, Willey 1968, p. 141 |
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| 304 | |
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| 305 | inline G4double G4DiffuseElastic::BesselJone(G4double value) |
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| 306 | { |
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| 307 | G4double modvalue, value2, fact1, fact2, arg, shift, bessel; |
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| 308 | |
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| 309 | modvalue = fabs(value); |
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| 310 | |
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| 311 | if ( modvalue < 8.0 ) |
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| 312 | { |
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| 313 | value2 = value*value; |
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| 314 | |
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| 315 | fact1 = value*(72362614232.0 + value2*(-7895059235.0 |
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| 316 | + value2*( 242396853.1 |
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| 317 | + value2*(-2972611.439 |
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| 318 | + value2*( 15704.48260 |
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| 319 | + value2*(-30.16036606 ) ) ) ) ) ); |
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| 320 | |
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| 321 | fact2 = 144725228442.0 + value2*(2300535178.0 |
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| 322 | + value2*(18583304.74 |
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| 323 | + value2*(99447.43394 |
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| 324 | + value2*(376.9991397 |
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| 325 | + value2*1.0 ) ) ) ); |
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| 326 | bessel = fact1/fact2; |
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| 327 | } |
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| 328 | else |
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| 329 | { |
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| 330 | arg = 8.0/modvalue; |
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| 331 | |
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| 332 | value2 = arg*arg; |
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| 333 | |
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| 334 | shift = modvalue - 2.356194491; |
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| 335 | |
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| 336 | fact1 = 1.0 + value2*( 0.183105e-2 |
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| 337 | + value2*(-0.3516396496e-4 |
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| 338 | + value2*(0.2457520174e-5 |
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| 339 | + value2*(-0.240337019e-6 ) ) ) ); |
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| 340 | |
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| 341 | fact2 = 0.04687499995 + value2*(-0.2002690873e-3 |
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| 342 | + value2*( 0.8449199096e-5 |
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| 343 | + value2*(-0.88228987e-6 |
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| 344 | + value2*0.105787412e-6 ) ) ); |
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| 345 | |
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| 346 | bessel = sqrt( 0.636619772/modvalue)*(cos(shift)*fact1 - arg*sin(shift)*fact2); |
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| 347 | |
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| 348 | if (value < 0.0) bessel = -bessel; |
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| 349 | } |
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| 350 | return bessel; |
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| 351 | } |
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| 352 | |
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| 353 | //////////////////////////////////////////////////////////////////// |
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| 354 | // |
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| 355 | // damp factor in diffraction x/sh(x), x was already *pi |
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| 356 | |
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| 357 | inline G4double G4DiffuseElastic::DampFactor(G4double x) |
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| 358 | { |
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| 359 | G4double df; |
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| 360 | G4double f2 = 2., f3 = 6., f4 = 24.; // first factorials |
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| 361 | |
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| 362 | // x *= pi; |
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| 363 | |
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| 364 | if( std::fabs(x) < 0.01 ) |
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| 365 | { |
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| 366 | df = 1./(1. + x/f2 + x*x/f3 + x*x*x/f4); |
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| 367 | } |
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| 368 | else |
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| 369 | { |
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| 370 | df = x/std::sinh(x); |
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| 371 | } |
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| 372 | return df; |
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| 373 | } |
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| 374 | |
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| 375 | |
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| 376 | //////////////////////////////////////////////////////////////////// |
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| 377 | // |
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| 378 | // return J1(x)/x with special case for small x |
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| 379 | |
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| 380 | inline G4double G4DiffuseElastic::BesselOneByArg(G4double x) |
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| 381 | { |
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| 382 | G4double x2, result; |
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| 383 | |
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| 384 | if( std::fabs(x) < 0.01 ) |
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| 385 | { |
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| 386 | x *= 0.5; |
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| 387 | x2 = x*x; |
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| 388 | result = 2. - x2 + x2*x2/6.; |
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| 389 | } |
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| 390 | else |
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| 391 | { |
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| 392 | result = BesselJone(x)/x; |
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| 393 | } |
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| 394 | return result; |
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| 395 | } |
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| 396 | |
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| 397 | //////////////////////////////////////////////////////////////////// |
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| 398 | // |
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| 399 | // return particle beta |
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| 400 | |
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| 401 | inline G4double G4DiffuseElastic::CalculateParticleBeta( const G4ParticleDefinition* particle, |
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| 402 | G4double momentum ) |
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| 403 | { |
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| 404 | G4double mass = particle->GetPDGMass(); |
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| 405 | G4double a = momentum/mass; |
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| 406 | fBeta = a/std::sqrt(1+a*a); |
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| 407 | |
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| 408 | return fBeta; |
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| 409 | } |
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| 410 | |
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| 411 | //////////////////////////////////////////////////////////////////// |
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| 412 | // |
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| 413 | // return Zommerfeld parameter for Coulomb scattering |
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| 414 | |
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| 415 | inline G4double G4DiffuseElastic::CalculateZommerfeld( G4double beta, G4double Z1, G4double Z2 ) |
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| 416 | { |
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| 417 | fZommerfeld = fine_structure_const*Z1*Z2/beta; |
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| 418 | |
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| 419 | return fZommerfeld; |
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| 420 | } |
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| 421 | |
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| 422 | //////////////////////////////////////////////////////////////////// |
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| 423 | // |
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| 424 | // return Wentzel correction for Coulomb scattering |
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| 425 | |
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| 426 | inline G4double G4DiffuseElastic::CalculateAm( G4double momentum, G4double n, G4double Z) |
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| 427 | { |
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| 428 | G4double k = momentum/hbarc; |
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| 429 | G4double ch = 1.13 + 3.76*n*n; |
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| 430 | G4double zn = 1.77*k*std::pow(Z,-1./3.)*Bohr_radius; |
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| 431 | G4double zn2 = zn*zn; |
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| 432 | fAm = ch/zn2; |
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| 433 | |
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| 434 | return fAm; |
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| 435 | } |
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| 436 | |
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| 437 | //////////////////////////////////////////////////////////////////// |
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| 438 | // |
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| 439 | // calculate nuclear radius for different atomic weights using different approximations |
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| 440 | |
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| 441 | inline G4double G4DiffuseElastic::CalculateNuclearRad( G4double A) |
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| 442 | { |
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| 443 | G4double r0; |
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| 444 | |
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| 445 | if(A < 50.) |
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| 446 | { |
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| 447 | if(A > 10.) r0 = 1.16*( 1 - std::pow(A, -2./3.) )*fermi; // 1.08*fermi; |
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| 448 | else r0 = 1.1*fermi; |
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| 449 | |
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| 450 | fNuclearRadius = r0*std::pow(A, 1./3.); |
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| 451 | } |
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| 452 | else |
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| 453 | { |
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| 454 | r0 = 1.7*fermi; |
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| 455 | |
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| 456 | fNuclearRadius = r0*std::pow(A, 0.27); |
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| 457 | } |
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| 458 | return fNuclearRadius; |
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| 459 | } |
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| 460 | |
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| 461 | //////////////////////////////////////////////////////////////////// |
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| 462 | // |
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| 463 | // return Coulomb scattering differential xsc with Wentzel correction |
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| 464 | |
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| 465 | inline G4double G4DiffuseElastic::GetCoulombElasticXsc( const G4ParticleDefinition* particle, |
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| 466 | G4double theta, |
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| 467 | G4double momentum, |
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| 468 | G4double Z ) |
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| 469 | { |
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| 470 | G4double sinHalfTheta = std::sin(0.5*theta); |
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| 471 | G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta; |
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| 472 | G4double beta = CalculateParticleBeta( particle, momentum); |
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| 473 | G4double z = particle->GetPDGCharge(); |
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| 474 | G4double n = CalculateZommerfeld( beta, z, Z ); |
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| 475 | G4double am = CalculateAm( momentum, n, Z); |
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| 476 | G4double k = momentum/hbarc; |
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| 477 | G4double ch = 0.5*n/k; |
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| 478 | G4double ch2 = ch*ch; |
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| 479 | G4double xsc = ch2/(sinHalfTheta2+am)/(sinHalfTheta2+am); |
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| 480 | |
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| 481 | return xsc; |
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| 482 | } |
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| 483 | |
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| 484 | |
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| 485 | //////////////////////////////////////////////////////////////////// |
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| 486 | // |
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| 487 | // return Coulomb scattering total xsc with Wentzel correction |
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| 488 | |
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| 489 | inline G4double G4DiffuseElastic::GetCoulombTotalXsc( const G4ParticleDefinition* particle, |
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| 490 | G4double momentum, G4double Z ) |
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| 491 | { |
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| 492 | G4double beta = CalculateParticleBeta( particle, momentum); |
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| 493 | G4cout<<"beta = "<<beta<<G4endl; |
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| 494 | G4double z = particle->GetPDGCharge(); |
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| 495 | G4double n = CalculateZommerfeld( beta, z, Z ); |
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| 496 | G4cout<<"fZomerfeld = "<<n<<G4endl; |
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| 497 | G4double am = CalculateAm( momentum, n, Z); |
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| 498 | G4cout<<"cof Am = "<<am<<G4endl; |
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| 499 | G4double k = momentum/hbarc; |
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| 500 | G4cout<<"k = "<<k*fermi<<" 1/fermi"<<G4endl; |
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| 501 | G4cout<<"k*Bohr_radius = "<<k*Bohr_radius<<G4endl; |
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| 502 | G4double ch = n/k; |
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| 503 | G4double ch2 = ch*ch; |
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| 504 | G4double xsc = ch2*pi/(am +am*am); |
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| 505 | |
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| 506 | return xsc; |
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| 507 | } |
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| 508 | |
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| 509 | //////////////////////////////////////////////////////////////////// |
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| 510 | // |
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| 511 | // return Coulomb scattering xsc with Wentzel correction integrated between |
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| 512 | // theta1 and < theta2 |
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| 513 | |
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| 514 | inline G4double G4DiffuseElastic::GetCoulombIntegralXsc( const G4ParticleDefinition* particle, |
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| 515 | G4double momentum, G4double Z, |
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| 516 | G4double theta1, G4double theta2 ) |
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| 517 | { |
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| 518 | G4double c1 = std::cos(theta1); |
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| 519 | G4cout<<"c1 = "<<c1<<G4endl; |
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| 520 | G4double c2 = std::cos(theta2); |
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| 521 | G4cout<<"c2 = "<<c2<<G4endl; |
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| 522 | G4double beta = CalculateParticleBeta( particle, momentum); |
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| 523 | // G4cout<<"beta = "<<beta<<G4endl; |
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| 524 | G4double z = particle->GetPDGCharge(); |
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| 525 | G4double n = CalculateZommerfeld( beta, z, Z ); |
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| 526 | // G4cout<<"fZomerfeld = "<<n<<G4endl; |
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| 527 | G4double am = CalculateAm( momentum, n, Z); |
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| 528 | // G4cout<<"cof Am = "<<am<<G4endl; |
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| 529 | G4double k = momentum/hbarc; |
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| 530 | // G4cout<<"k = "<<k*fermi<<" 1/fermi"<<G4endl; |
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| 531 | // G4cout<<"k*Bohr_radius = "<<k*Bohr_radius<<G4endl; |
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| 532 | G4double ch = n/k; |
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| 533 | G4double ch2 = ch*ch; |
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| 534 | am *= 2.; |
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| 535 | G4double xsc = ch2*twopi*(c1-c2); |
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| 536 | xsc /= (1 - c1 + am)*(1 - c2 + am); |
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| 537 | |
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| 538 | return xsc; |
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| 539 | } |
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| 540 | |
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| 541 | #endif |
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