[1197] | 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 | // $Id: G4NuclNuclDiffuseElastic.cc,v 1.2 2009/04/10 13:22:25 grichine Exp $ |
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[1340] | 27 | // GEANT4 tag $Name: geant4-09-03-ref-09 $ |
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[1197] | 28 | // |
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| 29 | // |
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| 30 | // Physics model class G4NuclNuclDiffuseElastic |
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| 31 | // |
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| 32 | // |
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| 33 | // G4 Model: optical diffuse elastic scattering with 4-momentum balance |
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| 34 | // |
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| 35 | // 24-May-07 V. Grichine |
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| 36 | // |
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| 37 | |
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| 38 | #include "G4NuclNuclDiffuseElastic.hh" |
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| 39 | #include "G4ParticleTable.hh" |
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| 40 | #include "G4ParticleDefinition.hh" |
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| 41 | #include "G4IonTable.hh" |
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| 42 | |
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| 43 | #include "Randomize.hh" |
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| 44 | #include "G4Integrator.hh" |
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| 45 | #include "globals.hh" |
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| 46 | |
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| 47 | #include "G4Proton.hh" |
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| 48 | #include "G4Neutron.hh" |
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| 49 | #include "G4Deuteron.hh" |
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| 50 | #include "G4Alpha.hh" |
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| 51 | #include "G4PionPlus.hh" |
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| 52 | #include "G4PionMinus.hh" |
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| 53 | |
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| 54 | #include "G4Element.hh" |
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| 55 | #include "G4ElementTable.hh" |
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| 56 | #include "G4PhysicsTable.hh" |
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| 57 | #include "G4PhysicsLogVector.hh" |
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| 58 | #include "G4PhysicsFreeVector.hh" |
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| 59 | |
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| 60 | ///////////////////////////////////////////////////////////////////////// |
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| 61 | // |
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| 62 | // Test Constructor. Just to check xsc |
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| 63 | |
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| 64 | |
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| 65 | G4NuclNuclDiffuseElastic::G4NuclNuclDiffuseElastic() |
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| 66 | : G4HadronicInteraction(), fParticle(0) |
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| 67 | { |
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| 68 | SetMinEnergy( 0.01*GeV ); |
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| 69 | SetMaxEnergy( 1.*TeV ); |
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| 70 | verboseLevel = 0; |
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| 71 | lowEnergyRecoilLimit = 100.*keV; |
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| 72 | lowEnergyLimitQ = 0.0*GeV; |
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| 73 | lowEnergyLimitHE = 0.0*GeV; |
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| 74 | lowestEnergyLimit= 0.0*keV; |
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| 75 | plabLowLimit = 20.0*MeV; |
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| 76 | |
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| 77 | theProton = G4Proton::Proton(); |
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| 78 | theNeutron = G4Neutron::Neutron(); |
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| 79 | theDeuteron = G4Deuteron::Deuteron(); |
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| 80 | theAlpha = G4Alpha::Alpha(); |
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| 81 | thePionPlus = G4PionPlus::PionPlus(); |
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| 82 | thePionMinus= G4PionMinus::PionMinus(); |
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| 83 | |
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| 84 | fEnergyBin = 200; |
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| 85 | fAngleBin = 200; |
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| 86 | |
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| 87 | fEnergyVector = new G4PhysicsLogVector( theMinEnergy, theMaxEnergy, fEnergyBin ); |
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| 88 | fAngleTable = 0; |
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| 89 | |
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| 90 | fParticle = 0; |
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| 91 | fWaveVector = 0.; |
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| 92 | fAtomicWeight = 0.; |
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| 93 | fAtomicNumber = 0.; |
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| 94 | fNuclearRadius = 0.; |
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| 95 | fBeta = 0.; |
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| 96 | fZommerfeld = 0.; |
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| 97 | fAm = 0.; |
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| 98 | fAddCoulomb = false; |
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| 99 | |
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| 100 | fProfileDelta = 1.; |
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| 101 | fProfileAlpha = 0.5; |
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| 102 | |
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| 103 | } |
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| 104 | |
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| 105 | ////////////////////////////////////////////////////////////////////////// |
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| 106 | // |
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| 107 | // Constructor with initialisation |
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| 108 | |
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| 109 | G4NuclNuclDiffuseElastic::G4NuclNuclDiffuseElastic(const G4ParticleDefinition* aParticle) |
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| 110 | : G4HadronicInteraction(), fParticle(aParticle) |
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| 111 | { |
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| 112 | SetMinEnergy( 0.01*GeV ); |
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| 113 | SetMaxEnergy( 1.*TeV ); |
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| 114 | verboseLevel = 0; |
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| 115 | lowEnergyRecoilLimit = 100.*keV; |
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| 116 | lowEnergyLimitQ = 0.0*GeV; |
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| 117 | lowEnergyLimitHE = 0.0*GeV; |
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| 118 | lowestEnergyLimit= 0.0*keV; |
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| 119 | plabLowLimit = 20.0*MeV; |
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| 120 | |
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| 121 | theProton = G4Proton::Proton(); |
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| 122 | theNeutron = G4Neutron::Neutron(); |
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| 123 | theDeuteron = G4Deuteron::Deuteron(); |
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| 124 | theAlpha = G4Alpha::Alpha(); |
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| 125 | thePionPlus = G4PionPlus::PionPlus(); |
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| 126 | thePionMinus= G4PionMinus::PionMinus(); |
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| 127 | |
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| 128 | fEnergyBin = 200; // 200; // 100; |
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| 129 | fAngleBin = 400; // 200; // 100; |
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| 130 | |
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| 131 | // fEnergyVector = 0; |
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| 132 | fEnergyVector = new G4PhysicsLogVector( theMinEnergy, theMaxEnergy, fEnergyBin ); |
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| 133 | fAngleTable = 0; |
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| 134 | |
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| 135 | fParticle = aParticle; |
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| 136 | fWaveVector = 0.; |
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| 137 | fAtomicWeight = 0.; |
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| 138 | fAtomicNumber = 0.; |
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| 139 | fNuclearRadius = 0.; |
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| 140 | fBeta = 0.; |
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| 141 | fZommerfeld = 0.; |
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| 142 | fAm = 0.; |
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| 143 | fAddCoulomb = false; |
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| 144 | // Initialise(); |
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| 145 | } |
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| 146 | |
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| 147 | ////////////////////////////////////////////////////////////////////////////// |
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| 148 | // |
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| 149 | // Destructor |
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| 150 | |
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| 151 | G4NuclNuclDiffuseElastic::~G4NuclNuclDiffuseElastic() |
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| 152 | { |
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| 153 | if(fEnergyVector) delete fEnergyVector; |
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| 154 | |
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| 155 | if( fAngleTable ) |
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| 156 | { |
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| 157 | fAngleTable->clearAndDestroy(); |
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| 158 | delete fAngleTable ; |
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| 159 | } |
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| 160 | } |
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| 161 | |
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| 162 | ////////////////////////////////////////////////////////////////////////////// |
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| 163 | // |
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| 164 | // Initialisation for given particle using element table of application |
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| 165 | |
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| 166 | void G4NuclNuclDiffuseElastic::Initialise() |
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| 167 | { |
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| 168 | |
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| 169 | // fEnergyVector = new G4PhysicsLogVector( theMinEnergy, theMaxEnergy, fEnergyBin ); |
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| 170 | |
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| 171 | const G4ElementTable* theElementTable = G4Element::GetElementTable(); |
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| 172 | |
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| 173 | size_t jEl, numOfEl = G4Element::GetNumberOfElements(); |
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| 174 | |
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| 175 | for(jEl = 0 ; jEl < numOfEl; ++jEl) // application element loop |
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| 176 | { |
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| 177 | fAtomicNumber = (*theElementTable)[jEl]->GetZ(); // atomic number |
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| 178 | fAtomicWeight = (*theElementTable)[jEl]->GetN(); // number of nucleons |
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| 179 | fNuclearRadius = CalculateNuclearRad(fAtomicWeight); |
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| 180 | |
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| 181 | if(verboseLevel > 0) |
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| 182 | { |
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| 183 | G4cout<<"G4NuclNuclDiffuseElastic::Initialise() the element: " |
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| 184 | <<(*theElementTable)[jEl]->GetName()<<G4endl; |
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| 185 | } |
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| 186 | fElementNumberVector.push_back(fAtomicNumber); |
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| 187 | fElementNameVector.push_back((*theElementTable)[jEl]->GetName()); |
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| 188 | |
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| 189 | BuildAngleTable(); |
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| 190 | fAngleBank.push_back(fAngleTable); |
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| 191 | } |
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| 192 | return; |
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| 193 | } |
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| 194 | |
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| 195 | //////////////////////////////////////////////////////////////////////////////// |
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| 196 | // |
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| 197 | // Model analog of DoIt function |
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| 198 | |
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| 199 | G4HadFinalState* |
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| 200 | G4NuclNuclDiffuseElastic::ApplyYourself( const G4HadProjectile& aTrack, |
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| 201 | G4Nucleus& targetNucleus ) |
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| 202 | { |
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| 203 | theParticleChange.Clear(); |
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| 204 | |
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| 205 | const G4HadProjectile* aParticle = &aTrack; |
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| 206 | |
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| 207 | G4double ekin = aParticle->GetKineticEnergy(); |
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| 208 | |
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| 209 | if(ekin <= lowestEnergyLimit) |
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| 210 | { |
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| 211 | theParticleChange.SetEnergyChange(ekin); |
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| 212 | theParticleChange.SetMomentumChange(aTrack.Get4Momentum().vect().unit()); |
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| 213 | return &theParticleChange; |
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| 214 | } |
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| 215 | |
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| 216 | G4double aTarget = targetNucleus.GetN(); |
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| 217 | G4double zTarget = targetNucleus.GetZ(); |
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| 218 | |
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| 219 | G4double plab = aParticle->GetTotalMomentum(); |
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| 220 | |
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| 221 | if (verboseLevel >1) |
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| 222 | { |
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| 223 | G4cout << "G4NuclNuclDiffuseElastic::DoIt: Incident particle plab=" |
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| 224 | << plab/GeV << " GeV/c " |
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| 225 | << " ekin(MeV) = " << ekin/MeV << " " |
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| 226 | << aParticle->GetDefinition()->GetParticleName() << G4endl; |
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| 227 | } |
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| 228 | // Scattered particle referred to axis of incident particle |
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| 229 | |
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| 230 | const G4ParticleDefinition* theParticle = aParticle->GetDefinition(); |
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| 231 | G4double m1 = theParticle->GetPDGMass(); |
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| 232 | |
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| 233 | G4int Z = static_cast<G4int>(zTarget+0.5); |
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| 234 | G4int A = static_cast<G4int>(aTarget+0.5); |
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| 235 | G4int N = A - Z; |
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| 236 | |
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| 237 | G4int projPDG = theParticle->GetPDGEncoding(); |
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| 238 | |
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| 239 | if (verboseLevel>1) |
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| 240 | { |
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| 241 | G4cout << "G4NuclNuclDiffuseElastic for " << theParticle->GetParticleName() |
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| 242 | << " PDGcode= " << projPDG << " on nucleus Z= " << Z |
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| 243 | << " A= " << A << " N= " << N |
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| 244 | << G4endl; |
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| 245 | } |
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| 246 | G4ParticleDefinition * theDef = 0; |
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| 247 | |
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| 248 | if(Z == 1 && A == 1) theDef = theProton; |
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| 249 | else if (Z == 1 && A == 2) theDef = theDeuteron; |
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| 250 | else if (Z == 1 && A == 3) theDef = G4Triton::Triton(); |
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| 251 | else if (Z == 2 && A == 3) theDef = G4He3::He3(); |
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| 252 | else if (Z == 2 && A == 4) theDef = theAlpha; |
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| 253 | else theDef = G4ParticleTable::GetParticleTable()->FindIon(Z,A,0,Z); |
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| 254 | |
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| 255 | G4double m2 = theDef->GetPDGMass(); |
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| 256 | G4LorentzVector lv1 = aParticle->Get4Momentum(); |
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| 257 | G4LorentzVector lv(0.0,0.0,0.0,m2); |
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| 258 | lv += lv1; |
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| 259 | |
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| 260 | G4ThreeVector bst = lv.boostVector(); |
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| 261 | lv1.boost(-bst); |
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| 262 | |
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| 263 | G4ThreeVector p1 = lv1.vect(); |
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| 264 | G4double ptot = p1.mag(); |
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| 265 | G4double tmax = 4.0*ptot*ptot; |
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| 266 | G4double t = 0.0; |
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| 267 | |
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| 268 | |
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| 269 | // |
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| 270 | // Sample t |
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| 271 | // |
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| 272 | |
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| 273 | // t = SampleT( theParticle, ptot, A); |
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| 274 | |
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| 275 | t = SampleTableT( theParticle, ptot, Z, A); // use initialised table |
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| 276 | |
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| 277 | // NaN finder |
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| 278 | if(!(t < 0.0 || t >= 0.0)) |
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| 279 | { |
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| 280 | if (verboseLevel > 0) |
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| 281 | { |
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| 282 | G4cout << "G4NuclNuclDiffuseElastic:WARNING: Z= " << Z << " N= " |
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| 283 | << N << " pdg= " << projPDG |
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| 284 | << " mom(GeV)= " << plab/GeV |
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| 285 | << " S-wave will be sampled" |
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| 286 | << G4endl; |
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| 287 | } |
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| 288 | t = G4UniformRand()*tmax; |
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| 289 | } |
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| 290 | if(verboseLevel>1) |
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| 291 | { |
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| 292 | G4cout <<" t= " << t << " tmax= " << tmax |
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| 293 | << " ptot= " << ptot << G4endl; |
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| 294 | } |
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| 295 | // Sampling of angles in CM system |
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| 296 | |
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| 297 | G4double phi = G4UniformRand()*twopi; |
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| 298 | G4double cost = 1. - 2.0*t/tmax; |
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| 299 | G4double sint; |
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| 300 | |
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| 301 | if( cost >= 1.0 ) |
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| 302 | { |
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| 303 | cost = 1.0; |
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| 304 | sint = 0.0; |
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| 305 | } |
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| 306 | else if( cost <= -1.0) |
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| 307 | { |
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| 308 | cost = -1.0; |
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| 309 | sint = 0.0; |
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| 310 | } |
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| 311 | else |
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| 312 | { |
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| 313 | sint = std::sqrt((1.0-cost)*(1.0+cost)); |
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| 314 | } |
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| 315 | if (verboseLevel>1) |
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| 316 | G4cout << "cos(t)=" << cost << " std::sin(t)=" << sint << G4endl; |
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| 317 | |
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| 318 | G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost); |
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| 319 | v1 *= ptot; |
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| 320 | G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1)); |
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| 321 | |
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| 322 | nlv1.boost(bst); |
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| 323 | |
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| 324 | G4double eFinal = nlv1.e() - m1; |
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| 325 | |
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| 326 | if (verboseLevel > 1) |
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| 327 | { |
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| 328 | G4cout << "Scattered: " |
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| 329 | << nlv1<<" m= " << m1 << " ekin(MeV)= " << eFinal |
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| 330 | << " Proj: 4-mom " << lv1 |
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| 331 | <<G4endl; |
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| 332 | } |
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| 333 | if(eFinal < 0.0) |
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| 334 | { |
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| 335 | G4cout << "G4NuclNuclDiffuseElastic WARNING ekin= " << eFinal |
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| 336 | << " after scattering of " |
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| 337 | << aParticle->GetDefinition()->GetParticleName() |
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| 338 | << " p(GeV/c)= " << plab |
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| 339 | << " on " << theDef->GetParticleName() |
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| 340 | << G4endl; |
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| 341 | eFinal = 0.0; |
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| 342 | nlv1.setE(m1); |
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| 343 | } |
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| 344 | |
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| 345 | theParticleChange.SetMomentumChange(nlv1.vect().unit()); |
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| 346 | theParticleChange.SetEnergyChange(eFinal); |
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| 347 | |
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| 348 | G4LorentzVector nlv0 = lv - nlv1; |
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| 349 | G4double erec = nlv0.e() - m2; |
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| 350 | |
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| 351 | if (verboseLevel > 1) |
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| 352 | { |
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| 353 | G4cout << "Recoil: " |
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| 354 | << nlv0<<" m= " << m2 << " ekin(MeV)= " << erec |
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| 355 | <<G4endl; |
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| 356 | } |
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| 357 | if(erec > lowEnergyRecoilLimit) |
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| 358 | { |
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| 359 | G4DynamicParticle * aSec = new G4DynamicParticle(theDef, nlv0); |
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| 360 | theParticleChange.AddSecondary(aSec); |
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| 361 | } else { |
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| 362 | if(erec < 0.0) erec = 0.0; |
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| 363 | theParticleChange.SetLocalEnergyDeposit(erec); |
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| 364 | } |
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| 365 | |
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| 366 | return &theParticleChange; |
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| 367 | } |
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| 368 | |
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| 369 | |
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| 370 | //////////////////////////////////////////////////////////////////////////// |
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| 371 | // |
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| 372 | // return differential elastic cross section d(sigma)/d(omega) |
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| 373 | |
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| 374 | G4double |
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| 375 | G4NuclNuclDiffuseElastic::GetDiffuseElasticXsc( const G4ParticleDefinition* particle, |
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| 376 | G4double theta, |
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| 377 | G4double momentum, |
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| 378 | G4double A ) |
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| 379 | { |
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| 380 | fParticle = particle; |
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| 381 | fWaveVector = momentum/hbarc; |
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| 382 | fAtomicWeight = A; |
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| 383 | fAddCoulomb = false; |
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| 384 | fNuclearRadius = CalculateNuclearRad(A); |
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| 385 | |
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| 386 | G4double sigma = fNuclearRadius*fNuclearRadius*GetDiffElasticProb(theta); |
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| 387 | |
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| 388 | return sigma; |
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| 389 | } |
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| 390 | |
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| 391 | //////////////////////////////////////////////////////////////////////////// |
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| 392 | // |
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| 393 | // return invariant differential elastic cross section d(sigma)/d(tMand) |
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| 394 | |
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| 395 | G4double |
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| 396 | G4NuclNuclDiffuseElastic::GetInvElasticXsc( const G4ParticleDefinition* particle, |
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| 397 | G4double tMand, |
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| 398 | G4double plab, |
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| 399 | G4double A, G4double Z ) |
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| 400 | { |
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| 401 | G4double m1 = particle->GetPDGMass(); |
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| 402 | G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1)); |
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| 403 | |
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| 404 | G4int iZ = static_cast<G4int>(Z+0.5); |
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| 405 | G4int iA = static_cast<G4int>(A+0.5); |
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| 406 | G4ParticleDefinition * theDef = 0; |
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| 407 | |
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| 408 | if (iZ == 1 && iA == 1) theDef = theProton; |
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| 409 | else if (iZ == 1 && iA == 2) theDef = theDeuteron; |
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| 410 | else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton(); |
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| 411 | else if (iZ == 2 && iA == 3) theDef = G4He3::He3(); |
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| 412 | else if (iZ == 2 && iA == 4) theDef = theAlpha; |
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| 413 | else theDef = G4ParticleTable::GetParticleTable()->FindIon(iZ,iA,0,iZ); |
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| 414 | |
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| 415 | G4double tmass = theDef->GetPDGMass(); |
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| 416 | |
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| 417 | G4LorentzVector lv(0.0,0.0,0.0,tmass); |
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| 418 | lv += lv1; |
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| 419 | |
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| 420 | G4ThreeVector bst = lv.boostVector(); |
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| 421 | lv1.boost(-bst); |
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| 422 | |
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| 423 | G4ThreeVector p1 = lv1.vect(); |
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| 424 | G4double ptot = p1.mag(); |
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| 425 | G4double ptot2 = ptot*ptot; |
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| 426 | G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2; |
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| 427 | |
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| 428 | if( cost >= 1.0 ) cost = 1.0; |
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| 429 | else if( cost <= -1.0) cost = -1.0; |
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| 430 | |
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| 431 | G4double thetaCMS = std::acos(cost); |
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| 432 | |
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| 433 | G4double sigma = GetDiffuseElasticXsc( particle, thetaCMS, ptot, A); |
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| 434 | |
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| 435 | sigma *= pi/ptot2; |
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| 436 | |
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| 437 | return sigma; |
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| 438 | } |
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| 439 | |
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| 440 | //////////////////////////////////////////////////////////////////////////// |
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| 441 | // |
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| 442 | // return differential elastic cross section d(sigma)/d(omega) with Coulomb |
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| 443 | // correction |
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| 444 | |
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| 445 | G4double |
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| 446 | G4NuclNuclDiffuseElastic::GetDiffuseElasticSumXsc( const G4ParticleDefinition* particle, |
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| 447 | G4double theta, |
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| 448 | G4double momentum, |
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| 449 | G4double A, G4double Z ) |
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| 450 | { |
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| 451 | fParticle = particle; |
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| 452 | fWaveVector = momentum/hbarc; |
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| 453 | fAtomicWeight = A; |
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| 454 | fAtomicNumber = Z; |
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| 455 | fNuclearRadius = CalculateNuclearRad(A); |
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| 456 | fAddCoulomb = false; |
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| 457 | |
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| 458 | G4double z = particle->GetPDGCharge(); |
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| 459 | |
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| 460 | G4double kRt = fWaveVector*fNuclearRadius*theta; |
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| 461 | G4double kRtC = 1.9; |
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| 462 | |
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| 463 | if( z && (kRt > kRtC) ) |
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| 464 | { |
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| 465 | fAddCoulomb = true; |
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| 466 | fBeta = CalculateParticleBeta( particle, momentum); |
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| 467 | fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber); |
---|
| 468 | fAm = CalculateAm( momentum, fZommerfeld, fAtomicNumber); |
---|
| 469 | } |
---|
| 470 | G4double sigma = fNuclearRadius*fNuclearRadius*GetDiffElasticSumProb(theta); |
---|
| 471 | |
---|
| 472 | return sigma; |
---|
| 473 | } |
---|
| 474 | |
---|
| 475 | //////////////////////////////////////////////////////////////////////////// |
---|
| 476 | // |
---|
| 477 | // return invariant differential elastic cross section d(sigma)/d(tMand) with Coulomb |
---|
| 478 | // correction |
---|
| 479 | |
---|
| 480 | G4double |
---|
| 481 | G4NuclNuclDiffuseElastic::GetInvElasticSumXsc( const G4ParticleDefinition* particle, |
---|
| 482 | G4double tMand, |
---|
| 483 | G4double plab, |
---|
| 484 | G4double A, G4double Z ) |
---|
| 485 | { |
---|
| 486 | G4double m1 = particle->GetPDGMass(); |
---|
| 487 | |
---|
| 488 | G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1)); |
---|
| 489 | |
---|
| 490 | G4int iZ = static_cast<G4int>(Z+0.5); |
---|
| 491 | G4int iA = static_cast<G4int>(A+0.5); |
---|
| 492 | |
---|
| 493 | G4ParticleDefinition* theDef = 0; |
---|
| 494 | |
---|
| 495 | if (iZ == 1 && iA == 1) theDef = theProton; |
---|
| 496 | else if (iZ == 1 && iA == 2) theDef = theDeuteron; |
---|
| 497 | else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton(); |
---|
| 498 | else if (iZ == 2 && iA == 3) theDef = G4He3::He3(); |
---|
| 499 | else if (iZ == 2 && iA == 4) theDef = theAlpha; |
---|
| 500 | else theDef = G4ParticleTable::GetParticleTable()->FindIon(iZ,iA,0,iZ); |
---|
| 501 | |
---|
| 502 | G4double tmass = theDef->GetPDGMass(); |
---|
| 503 | |
---|
| 504 | G4LorentzVector lv(0.0,0.0,0.0,tmass); |
---|
| 505 | lv += lv1; |
---|
| 506 | |
---|
| 507 | G4ThreeVector bst = lv.boostVector(); |
---|
| 508 | lv1.boost(-bst); |
---|
| 509 | |
---|
| 510 | G4ThreeVector p1 = lv1.vect(); |
---|
| 511 | G4double ptot = p1.mag(); |
---|
| 512 | G4double ptot2 = ptot*ptot; |
---|
| 513 | G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2; |
---|
| 514 | |
---|
| 515 | if( cost >= 1.0 ) cost = 1.0; |
---|
| 516 | else if( cost <= -1.0) cost = -1.0; |
---|
| 517 | |
---|
| 518 | G4double thetaCMS = std::acos(cost); |
---|
| 519 | |
---|
| 520 | G4double sigma = GetDiffuseElasticSumXsc( particle, thetaCMS, ptot, A, Z ); |
---|
| 521 | |
---|
| 522 | sigma *= pi/ptot2; |
---|
| 523 | |
---|
| 524 | return sigma; |
---|
| 525 | } |
---|
| 526 | |
---|
| 527 | //////////////////////////////////////////////////////////////////////////// |
---|
| 528 | // |
---|
| 529 | // return invariant differential elastic cross section d(sigma)/d(tMand) with Coulomb |
---|
| 530 | // correction |
---|
| 531 | |
---|
| 532 | G4double |
---|
| 533 | G4NuclNuclDiffuseElastic::GetInvCoulombElasticXsc( const G4ParticleDefinition* particle, |
---|
| 534 | G4double tMand, |
---|
| 535 | G4double plab, |
---|
| 536 | G4double A, G4double Z ) |
---|
| 537 | { |
---|
| 538 | G4double m1 = particle->GetPDGMass(); |
---|
| 539 | G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1)); |
---|
| 540 | |
---|
| 541 | G4int iZ = static_cast<G4int>(Z+0.5); |
---|
| 542 | G4int iA = static_cast<G4int>(A+0.5); |
---|
| 543 | G4ParticleDefinition * theDef = 0; |
---|
| 544 | |
---|
| 545 | if (iZ == 1 && iA == 1) theDef = theProton; |
---|
| 546 | else if (iZ == 1 && iA == 2) theDef = theDeuteron; |
---|
| 547 | else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton(); |
---|
| 548 | else if (iZ == 2 && iA == 3) theDef = G4He3::He3(); |
---|
| 549 | else if (iZ == 2 && iA == 4) theDef = theAlpha; |
---|
| 550 | else theDef = G4ParticleTable::GetParticleTable()->FindIon(iZ,iA,0,iZ); |
---|
| 551 | |
---|
| 552 | G4double tmass = theDef->GetPDGMass(); |
---|
| 553 | |
---|
| 554 | G4LorentzVector lv(0.0,0.0,0.0,tmass); |
---|
| 555 | lv += lv1; |
---|
| 556 | |
---|
| 557 | G4ThreeVector bst = lv.boostVector(); |
---|
| 558 | lv1.boost(-bst); |
---|
| 559 | |
---|
| 560 | G4ThreeVector p1 = lv1.vect(); |
---|
| 561 | G4double ptot = p1.mag(); |
---|
| 562 | G4double ptot2 = ptot*ptot; |
---|
| 563 | G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2; |
---|
| 564 | |
---|
| 565 | if( cost >= 1.0 ) cost = 1.0; |
---|
| 566 | else if( cost <= -1.0) cost = -1.0; |
---|
| 567 | |
---|
| 568 | G4double thetaCMS = std::acos(cost); |
---|
| 569 | |
---|
| 570 | G4double sigma = GetCoulombElasticXsc( particle, thetaCMS, ptot, Z ); |
---|
| 571 | |
---|
| 572 | sigma *= pi/ptot2; |
---|
| 573 | |
---|
| 574 | return sigma; |
---|
| 575 | } |
---|
| 576 | |
---|
| 577 | //////////////////////////////////////////////////////////////////////////// |
---|
| 578 | // |
---|
| 579 | // return differential elastic probability d(probability)/d(omega) |
---|
| 580 | |
---|
| 581 | G4double |
---|
| 582 | G4NuclNuclDiffuseElastic::GetDiffElasticProb( // G4ParticleDefinition* particle, |
---|
| 583 | G4double theta |
---|
| 584 | // G4double momentum, |
---|
| 585 | // G4double A |
---|
| 586 | ) |
---|
| 587 | { |
---|
| 588 | G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2; |
---|
| 589 | G4double delta, diffuse, gamma; |
---|
| 590 | G4double e1, e2, bone, bone2; |
---|
| 591 | |
---|
| 592 | // G4double wavek = momentum/hbarc; // wave vector |
---|
| 593 | // G4double r0 = 1.08*fermi; |
---|
| 594 | // G4double rad = r0*std::pow(A, 1./3.); |
---|
| 595 | |
---|
| 596 | G4double kr = fWaveVector*fNuclearRadius; // wavek*rad; |
---|
| 597 | G4double kr2 = kr*kr; |
---|
| 598 | G4double krt = kr*theta; |
---|
| 599 | |
---|
| 600 | bzero = BesselJzero(krt); |
---|
| 601 | bzero2 = bzero*bzero; |
---|
| 602 | bone = BesselJone(krt); |
---|
| 603 | bone2 = bone*bone; |
---|
| 604 | bonebyarg = BesselOneByArg(krt); |
---|
| 605 | bonebyarg2 = bonebyarg*bonebyarg; |
---|
| 606 | |
---|
| 607 | if (fParticle == theProton) |
---|
| 608 | { |
---|
| 609 | diffuse = 0.63*fermi; |
---|
| 610 | gamma = 0.3*fermi; |
---|
| 611 | delta = 0.1*fermi*fermi; |
---|
| 612 | e1 = 0.3*fermi; |
---|
| 613 | e2 = 0.35*fermi; |
---|
| 614 | } |
---|
| 615 | else // as proton, if were not defined |
---|
| 616 | { |
---|
| 617 | diffuse = 0.63*fermi; |
---|
| 618 | gamma = 0.3*fermi; |
---|
| 619 | delta = 0.1*fermi*fermi; |
---|
| 620 | e1 = 0.3*fermi; |
---|
| 621 | e2 = 0.35*fermi; |
---|
| 622 | } |
---|
| 623 | G4double lambda = 15.; // 15 ok |
---|
| 624 | |
---|
| 625 | // G4double kg = fWaveVector*gamma; // wavek*delta; |
---|
| 626 | |
---|
| 627 | G4double kg = lambda*(1.-std::exp(-fWaveVector*gamma/lambda)); // wavek*delta; |
---|
| 628 | G4double kg2 = kg*kg; |
---|
| 629 | |
---|
| 630 | // G4double dk2t = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta; |
---|
| 631 | // G4double dk2t2 = dk2t*dk2t; |
---|
| 632 | // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta; |
---|
| 633 | |
---|
| 634 | G4double pikdt = lambda*(1.-std::exp(-pi*fWaveVector*diffuse*theta/lambda)); // wavek*delta; |
---|
| 635 | |
---|
| 636 | damp = DampFactor(pikdt); |
---|
| 637 | damp2 = damp*damp; |
---|
| 638 | |
---|
| 639 | G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector; |
---|
| 640 | G4double e2dk3t = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta; |
---|
| 641 | |
---|
| 642 | |
---|
| 643 | sigma = kg2; |
---|
| 644 | // sigma += dk2t2; |
---|
| 645 | sigma *= bzero2; |
---|
| 646 | sigma += mode2k2*bone2 + e2dk3t*bzero*bone; |
---|
| 647 | sigma += kr2*bonebyarg2; |
---|
| 648 | sigma *= damp2; // *rad*rad; |
---|
| 649 | |
---|
| 650 | return sigma; |
---|
| 651 | } |
---|
| 652 | |
---|
| 653 | //////////////////////////////////////////////////////////////////////////// |
---|
| 654 | // |
---|
| 655 | // return differential elastic probability d(probability)/d(omega) with |
---|
| 656 | // Coulomb correction |
---|
| 657 | |
---|
| 658 | G4double |
---|
| 659 | G4NuclNuclDiffuseElastic::GetDiffElasticSumProb( // G4ParticleDefinition* particle, |
---|
| 660 | G4double theta |
---|
| 661 | // G4double momentum, |
---|
| 662 | // G4double A |
---|
| 663 | ) |
---|
| 664 | { |
---|
| 665 | G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2; |
---|
| 666 | G4double delta, diffuse, gamma; |
---|
| 667 | G4double e1, e2, bone, bone2; |
---|
| 668 | |
---|
| 669 | // G4double wavek = momentum/hbarc; // wave vector |
---|
| 670 | // G4double r0 = 1.08*fermi; |
---|
| 671 | // G4double rad = r0*std::pow(A, 1./3.); |
---|
| 672 | |
---|
| 673 | G4double kr = fWaveVector*fNuclearRadius; // wavek*rad; |
---|
| 674 | G4double kr2 = kr*kr; |
---|
| 675 | G4double krt = kr*theta; |
---|
| 676 | |
---|
| 677 | bzero = BesselJzero(krt); |
---|
| 678 | bzero2 = bzero*bzero; |
---|
| 679 | bone = BesselJone(krt); |
---|
| 680 | bone2 = bone*bone; |
---|
| 681 | bonebyarg = BesselOneByArg(krt); |
---|
| 682 | bonebyarg2 = bonebyarg*bonebyarg; |
---|
| 683 | |
---|
| 684 | if (fParticle == theProton) |
---|
| 685 | { |
---|
| 686 | diffuse = 0.63*fermi; |
---|
| 687 | // diffuse = 0.6*fermi; |
---|
| 688 | gamma = 0.3*fermi; |
---|
| 689 | delta = 0.1*fermi*fermi; |
---|
| 690 | e1 = 0.3*fermi; |
---|
| 691 | e2 = 0.35*fermi; |
---|
| 692 | } |
---|
| 693 | else // as proton, if were not defined |
---|
| 694 | { |
---|
| 695 | diffuse = 0.63*fermi; |
---|
| 696 | gamma = 0.3*fermi; |
---|
| 697 | delta = 0.1*fermi*fermi; |
---|
| 698 | e1 = 0.3*fermi; |
---|
| 699 | e2 = 0.35*fermi; |
---|
| 700 | } |
---|
| 701 | G4double lambda = 15.; // 15 ok |
---|
| 702 | // G4double kg = fWaveVector*gamma; // wavek*delta; |
---|
| 703 | G4double kg = lambda*(1.-std::exp(-fWaveVector*gamma/lambda)); // wavek*delta; |
---|
| 704 | |
---|
| 705 | // G4cout<<"kg = "<<kg<<G4endl; |
---|
| 706 | |
---|
| 707 | if(fAddCoulomb) // add Coulomb correction |
---|
| 708 | { |
---|
| 709 | G4double sinHalfTheta = std::sin(0.5*theta); |
---|
| 710 | G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta; |
---|
| 711 | |
---|
| 712 | kg += 0.5*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0() |
---|
| 713 | // kg += 0.65*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0() |
---|
| 714 | } |
---|
| 715 | |
---|
| 716 | G4double kg2 = kg*kg; |
---|
| 717 | |
---|
| 718 | // G4double dk2t = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta; |
---|
| 719 | // G4cout<<"dk2t = "<<dk2t<<G4endl; |
---|
| 720 | // G4double dk2t2 = dk2t*dk2t; |
---|
| 721 | // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta; |
---|
| 722 | |
---|
| 723 | G4double pikdt = lambda*(1.-std::exp(-pi*fWaveVector*diffuse*theta/lambda)); // wavek*delta; |
---|
| 724 | |
---|
| 725 | // G4cout<<"pikdt = "<<pikdt<<G4endl; |
---|
| 726 | |
---|
| 727 | damp = DampFactor(pikdt); |
---|
| 728 | damp2 = damp*damp; |
---|
| 729 | |
---|
| 730 | G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector; |
---|
| 731 | G4double e2dk3t = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta; |
---|
| 732 | |
---|
| 733 | sigma = kg2; |
---|
| 734 | // sigma += dk2t2; |
---|
| 735 | sigma *= bzero2; |
---|
| 736 | sigma += mode2k2*bone2; |
---|
| 737 | sigma += e2dk3t*bzero*bone; |
---|
| 738 | |
---|
| 739 | // sigma += kr2*(1 + 8.*fZommerfeld*fZommerfeld/kr2)*bonebyarg2; // correction at J1()/() |
---|
| 740 | sigma += kr2*bonebyarg2; // correction at J1()/() |
---|
| 741 | |
---|
| 742 | sigma *= damp2; // *rad*rad; |
---|
| 743 | |
---|
| 744 | return sigma; |
---|
| 745 | } |
---|
| 746 | |
---|
| 747 | |
---|
| 748 | //////////////////////////////////////////////////////////////////////////// |
---|
| 749 | // |
---|
| 750 | // return differential elastic probability d(probability)/d(t) with |
---|
| 751 | // Coulomb correction |
---|
| 752 | |
---|
| 753 | G4double |
---|
| 754 | G4NuclNuclDiffuseElastic::GetDiffElasticSumProbA( G4double alpha ) |
---|
| 755 | { |
---|
| 756 | G4double theta; |
---|
| 757 | |
---|
| 758 | theta = std::sqrt(alpha); |
---|
| 759 | |
---|
| 760 | // theta = std::acos( 1 - alpha/2. ); |
---|
| 761 | |
---|
| 762 | G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2; |
---|
| 763 | G4double delta, diffuse, gamma; |
---|
| 764 | G4double e1, e2, bone, bone2; |
---|
| 765 | |
---|
| 766 | // G4double wavek = momentum/hbarc; // wave vector |
---|
| 767 | // G4double r0 = 1.08*fermi; |
---|
| 768 | // G4double rad = r0*std::pow(A, 1./3.); |
---|
| 769 | |
---|
| 770 | G4double kr = fWaveVector*fNuclearRadius; // wavek*rad; |
---|
| 771 | G4double kr2 = kr*kr; |
---|
| 772 | G4double krt = kr*theta; |
---|
| 773 | |
---|
| 774 | bzero = BesselJzero(krt); |
---|
| 775 | bzero2 = bzero*bzero; |
---|
| 776 | bone = BesselJone(krt); |
---|
| 777 | bone2 = bone*bone; |
---|
| 778 | bonebyarg = BesselOneByArg(krt); |
---|
| 779 | bonebyarg2 = bonebyarg*bonebyarg; |
---|
| 780 | |
---|
| 781 | if (fParticle == theProton) |
---|
| 782 | { |
---|
| 783 | diffuse = 0.63*fermi; |
---|
| 784 | // diffuse = 0.6*fermi; |
---|
| 785 | gamma = 0.3*fermi; |
---|
| 786 | delta = 0.1*fermi*fermi; |
---|
| 787 | e1 = 0.3*fermi; |
---|
| 788 | e2 = 0.35*fermi; |
---|
| 789 | } |
---|
| 790 | else // as proton, if were not defined |
---|
| 791 | { |
---|
| 792 | diffuse = 0.63*fermi; |
---|
| 793 | gamma = 0.3*fermi; |
---|
| 794 | delta = 0.1*fermi*fermi; |
---|
| 795 | e1 = 0.3*fermi; |
---|
| 796 | e2 = 0.35*fermi; |
---|
| 797 | } |
---|
| 798 | G4double lambda = 15.; // 15 ok |
---|
| 799 | // G4double kg = fWaveVector*gamma; // wavek*delta; |
---|
| 800 | G4double kg = lambda*(1.-std::exp(-fWaveVector*gamma/lambda)); // wavek*delta; |
---|
| 801 | |
---|
| 802 | // G4cout<<"kg = "<<kg<<G4endl; |
---|
| 803 | |
---|
| 804 | if(fAddCoulomb) // add Coulomb correction |
---|
| 805 | { |
---|
| 806 | G4double sinHalfTheta = theta*0.5; // std::sin(0.5*theta); |
---|
| 807 | G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta; |
---|
| 808 | |
---|
| 809 | kg += 0.5*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0() |
---|
| 810 | // kg += 0.65*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0() |
---|
| 811 | } |
---|
| 812 | |
---|
| 813 | G4double kg2 = kg*kg; |
---|
| 814 | |
---|
| 815 | // G4double dk2t = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta; |
---|
| 816 | // G4cout<<"dk2t = "<<dk2t<<G4endl; |
---|
| 817 | // G4double dk2t2 = dk2t*dk2t; |
---|
| 818 | // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta; |
---|
| 819 | |
---|
| 820 | G4double pikdt = lambda*(1.-std::exp(-pi*fWaveVector*diffuse*theta/lambda)); // wavek*delta; |
---|
| 821 | |
---|
| 822 | // G4cout<<"pikdt = "<<pikdt<<G4endl; |
---|
| 823 | |
---|
| 824 | damp = DampFactor(pikdt); |
---|
| 825 | damp2 = damp*damp; |
---|
| 826 | |
---|
| 827 | G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector; |
---|
| 828 | G4double e2dk3t = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta; |
---|
| 829 | |
---|
| 830 | sigma = kg2; |
---|
| 831 | // sigma += dk2t2; |
---|
| 832 | sigma *= bzero2; |
---|
| 833 | sigma += mode2k2*bone2; |
---|
| 834 | sigma += e2dk3t*bzero*bone; |
---|
| 835 | |
---|
| 836 | // sigma += kr2*(1 + 8.*fZommerfeld*fZommerfeld/kr2)*bonebyarg2; // correction at J1()/() |
---|
| 837 | sigma += kr2*bonebyarg2; // correction at J1()/() |
---|
| 838 | |
---|
| 839 | sigma *= damp2; // *rad*rad; |
---|
| 840 | |
---|
| 841 | return sigma; |
---|
| 842 | } |
---|
| 843 | |
---|
| 844 | |
---|
| 845 | //////////////////////////////////////////////////////////////////////////// |
---|
| 846 | // |
---|
| 847 | // return differential elastic probability 2*pi*sin(theta)*d(probability)/d(omega) |
---|
| 848 | |
---|
| 849 | G4double |
---|
| 850 | G4NuclNuclDiffuseElastic::GetIntegrandFunction( G4double alpha ) |
---|
| 851 | { |
---|
| 852 | G4double result; |
---|
| 853 | |
---|
| 854 | result = GetDiffElasticSumProbA(alpha); |
---|
| 855 | |
---|
| 856 | // result *= 2*pi*std::sin(theta); |
---|
| 857 | |
---|
| 858 | return result; |
---|
| 859 | } |
---|
| 860 | |
---|
| 861 | //////////////////////////////////////////////////////////////////////////// |
---|
| 862 | // |
---|
| 863 | // return integral elastic cross section d(sigma)/d(omega) integrated 0 - theta |
---|
| 864 | |
---|
| 865 | G4double |
---|
| 866 | G4NuclNuclDiffuseElastic::IntegralElasticProb( const G4ParticleDefinition* particle, |
---|
| 867 | G4double theta, |
---|
| 868 | G4double momentum, |
---|
| 869 | G4double A ) |
---|
| 870 | { |
---|
| 871 | G4double result; |
---|
| 872 | fParticle = particle; |
---|
| 873 | fWaveVector = momentum/hbarc; |
---|
| 874 | fAtomicWeight = A; |
---|
| 875 | |
---|
| 876 | fNuclearRadius = CalculateNuclearRad(A); |
---|
| 877 | |
---|
| 878 | |
---|
| 879 | G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral; |
---|
| 880 | |
---|
| 881 | // result = integral.Legendre10(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., theta ); |
---|
| 882 | result = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., theta ); |
---|
| 883 | |
---|
| 884 | return result; |
---|
| 885 | } |
---|
| 886 | |
---|
| 887 | //////////////////////////////////////////////////////////////////////////// |
---|
| 888 | // |
---|
| 889 | // Return inv momentum transfer -t > 0 |
---|
| 890 | |
---|
| 891 | G4double G4NuclNuclDiffuseElastic::SampleT( const G4ParticleDefinition* aParticle, G4double p, G4double A) |
---|
| 892 | { |
---|
| 893 | G4double theta = SampleThetaCMS( aParticle, p, A); // sample theta in cms |
---|
| 894 | G4double t = 2*p*p*( 1 - std::cos(theta) ); // -t !!! |
---|
| 895 | return t; |
---|
| 896 | } |
---|
| 897 | |
---|
| 898 | //////////////////////////////////////////////////////////////////////////// |
---|
| 899 | // |
---|
| 900 | // Return scattering angle sampled in cms |
---|
| 901 | |
---|
| 902 | |
---|
| 903 | G4double |
---|
| 904 | G4NuclNuclDiffuseElastic::SampleThetaCMS(const G4ParticleDefinition* particle, |
---|
| 905 | G4double momentum, G4double A) |
---|
| 906 | { |
---|
| 907 | G4int i, iMax = 100; |
---|
| 908 | G4double norm, result, theta1, theta2, thetaMax, sum = 0.; |
---|
| 909 | |
---|
| 910 | fParticle = particle; |
---|
| 911 | fWaveVector = momentum/hbarc; |
---|
| 912 | fAtomicWeight = A; |
---|
| 913 | |
---|
| 914 | fNuclearRadius = CalculateNuclearRad(A); |
---|
| 915 | |
---|
| 916 | thetaMax = 10.174/fWaveVector/fNuclearRadius; |
---|
| 917 | |
---|
| 918 | if (thetaMax > pi) thetaMax = pi; |
---|
| 919 | |
---|
| 920 | G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral; |
---|
| 921 | |
---|
| 922 | // result = integral.Legendre10(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., theta ); |
---|
| 923 | norm = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., thetaMax ); |
---|
| 924 | |
---|
| 925 | norm *= G4UniformRand(); |
---|
| 926 | |
---|
| 927 | for(i = 1; i <= iMax; i++) |
---|
| 928 | { |
---|
| 929 | theta1 = (i-1)*thetaMax/iMax; |
---|
| 930 | theta2 = i*thetaMax/iMax; |
---|
| 931 | sum += integral.Legendre10(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, theta1, theta2); |
---|
| 932 | |
---|
| 933 | if ( sum >= norm ) |
---|
| 934 | { |
---|
| 935 | result = 0.5*(theta1 + theta2); |
---|
| 936 | break; |
---|
| 937 | } |
---|
| 938 | } |
---|
| 939 | if (i > iMax ) result = 0.5*(theta1 + theta2); |
---|
| 940 | |
---|
| 941 | G4double sigma = pi*thetaMax/iMax; |
---|
| 942 | |
---|
| 943 | result += G4RandGauss::shoot(0.,sigma); |
---|
| 944 | |
---|
| 945 | if(result < 0.) result = 0.; |
---|
| 946 | if(result > thetaMax) result = thetaMax; |
---|
| 947 | |
---|
| 948 | return result; |
---|
| 949 | } |
---|
| 950 | |
---|
| 951 | ///////////////////////////////////////////////////////////////////////////// |
---|
| 952 | ///////////////////// Table preparation and reading //////////////////////// |
---|
| 953 | //////////////////////////////////////////////////////////////////////////// |
---|
| 954 | // |
---|
| 955 | // Return inv momentum transfer -t > 0 from initialisation table |
---|
| 956 | |
---|
| 957 | G4double G4NuclNuclDiffuseElastic::SampleTableT( const G4ParticleDefinition* aParticle, G4double p, |
---|
| 958 | G4double Z, G4double A) |
---|
| 959 | { |
---|
| 960 | G4double alpha = SampleTableThetaCMS( aParticle, p, Z, A); // sample theta2 in cms |
---|
| 961 | // G4double t = 2*p*p*( 1 - std::cos(std::sqrt(alpha)) ); // -t !!! |
---|
| 962 | G4double t = p*p*alpha; // -t !!! |
---|
| 963 | return t; |
---|
| 964 | } |
---|
| 965 | |
---|
| 966 | //////////////////////////////////////////////////////////////////////////// |
---|
| 967 | // |
---|
| 968 | // Return scattering angle2 sampled in cms according to precalculated table. |
---|
| 969 | |
---|
| 970 | |
---|
| 971 | G4double |
---|
| 972 | G4NuclNuclDiffuseElastic::SampleTableThetaCMS(const G4ParticleDefinition* particle, |
---|
| 973 | G4double momentum, G4double Z, G4double A) |
---|
| 974 | { |
---|
| 975 | size_t iElement; |
---|
| 976 | G4int iMomentum, iAngle; |
---|
| 977 | G4double randAngle, position, theta1, theta2, E1, E2, W1, W2, W; |
---|
| 978 | G4double m1 = particle->GetPDGMass(); |
---|
| 979 | |
---|
| 980 | for(iElement = 0; iElement < fElementNumberVector.size(); iElement++) |
---|
| 981 | { |
---|
| 982 | if( std::fabs(Z - fElementNumberVector[iElement]) < 0.5) break; |
---|
| 983 | } |
---|
| 984 | if ( iElement == fElementNumberVector.size() ) |
---|
| 985 | { |
---|
| 986 | InitialiseOnFly(Z,A); // table preparation, if needed |
---|
| 987 | |
---|
| 988 | // iElement--; |
---|
| 989 | |
---|
| 990 | // G4cout << "G4NuclNuclDiffuseElastic: Element with atomic number " << Z |
---|
| 991 | // << " is not found, return zero angle" << G4endl; |
---|
| 992 | // return 0.; // no table for this element |
---|
| 993 | } |
---|
| 994 | // G4cout<<"iElement = "<<iElement<<G4endl; |
---|
| 995 | |
---|
| 996 | fAngleTable = fAngleBank[iElement]; |
---|
| 997 | |
---|
| 998 | G4double kinE = std::sqrt(momentum*momentum + m1*m1) - m1; |
---|
| 999 | |
---|
| 1000 | for( iMomentum = 0; iMomentum < fEnergyBin; iMomentum++) |
---|
| 1001 | { |
---|
| 1002 | if( kinE < fEnergyVector->GetLowEdgeEnergy(iMomentum) ) break; |
---|
| 1003 | } |
---|
| 1004 | if ( iMomentum >= fEnergyBin ) iMomentum = fEnergyBin-1; // kinE is more then theMaxEnergy |
---|
| 1005 | if ( iMomentum < 0 ) iMomentum = 0; // against negative index, kinE < theMinEnergy |
---|
| 1006 | |
---|
| 1007 | // G4cout<<"iMomentum = "<<iMomentum<<G4endl; |
---|
| 1008 | |
---|
| 1009 | if (iMomentum == fEnergyBin -1 || iMomentum == 0 ) // the table edges |
---|
| 1010 | { |
---|
| 1011 | position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand(); |
---|
| 1012 | |
---|
| 1013 | // G4cout<<"position = "<<position<<G4endl; |
---|
| 1014 | |
---|
| 1015 | for(iAngle = 0; iAngle < fAngleBin-1; iAngle++) |
---|
| 1016 | { |
---|
| 1017 | if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break; |
---|
| 1018 | } |
---|
| 1019 | if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2; |
---|
| 1020 | |
---|
| 1021 | // G4cout<<"iAngle = "<<iAngle<<G4endl; |
---|
| 1022 | |
---|
| 1023 | randAngle = GetScatteringAngle(iMomentum, iAngle, position); |
---|
| 1024 | |
---|
| 1025 | // G4cout<<"randAngle = "<<randAngle<<G4endl; |
---|
| 1026 | } |
---|
| 1027 | else // kinE inside between energy table edges |
---|
| 1028 | { |
---|
| 1029 | // position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand(); |
---|
| 1030 | position = (*(*fAngleTable)(iMomentum))(0)*G4UniformRand(); |
---|
| 1031 | |
---|
| 1032 | // G4cout<<"position = "<<position<<G4endl; |
---|
| 1033 | |
---|
| 1034 | for(iAngle = 0; iAngle < fAngleBin-1; iAngle++) |
---|
| 1035 | { |
---|
| 1036 | // if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break; |
---|
| 1037 | if( position > (*(*fAngleTable)(iMomentum))(iAngle) ) break; |
---|
| 1038 | } |
---|
| 1039 | if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2; |
---|
| 1040 | |
---|
| 1041 | // G4cout<<"iAngle = "<<iAngle<<G4endl; |
---|
| 1042 | |
---|
| 1043 | theta2 = GetScatteringAngle(iMomentum, iAngle, position); |
---|
| 1044 | |
---|
| 1045 | // G4cout<<"theta2 = "<<theta2<<G4endl; |
---|
| 1046 | E2 = fEnergyVector->GetLowEdgeEnergy(iMomentum); |
---|
| 1047 | |
---|
| 1048 | // G4cout<<"E2 = "<<E2<<G4endl; |
---|
| 1049 | |
---|
| 1050 | iMomentum--; |
---|
| 1051 | |
---|
| 1052 | // position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand(); |
---|
| 1053 | |
---|
| 1054 | // G4cout<<"position = "<<position<<G4endl; |
---|
| 1055 | |
---|
| 1056 | for(iAngle = 0; iAngle < fAngleBin-1; iAngle++) |
---|
| 1057 | { |
---|
| 1058 | // if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break; |
---|
| 1059 | if( position > (*(*fAngleTable)(iMomentum))(iAngle) ) break; |
---|
| 1060 | } |
---|
| 1061 | if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2; |
---|
| 1062 | |
---|
| 1063 | theta1 = GetScatteringAngle(iMomentum, iAngle, position); |
---|
| 1064 | |
---|
| 1065 | // G4cout<<"theta1 = "<<theta1<<G4endl; |
---|
| 1066 | |
---|
| 1067 | E1 = fEnergyVector->GetLowEdgeEnergy(iMomentum); |
---|
| 1068 | |
---|
| 1069 | // G4cout<<"E1 = "<<E1<<G4endl; |
---|
| 1070 | |
---|
| 1071 | W = 1.0/(E2 - E1); |
---|
| 1072 | W1 = (E2 - kinE)*W; |
---|
| 1073 | W2 = (kinE - E1)*W; |
---|
| 1074 | |
---|
| 1075 | randAngle = W1*theta1 + W2*theta2; |
---|
| 1076 | |
---|
| 1077 | // randAngle = theta2; |
---|
| 1078 | // G4cout<<"randAngle = "<<randAngle<<G4endl; |
---|
| 1079 | } |
---|
| 1080 | // G4double angle = randAngle; |
---|
| 1081 | // if (randAngle > 0.) randAngle /= 2*pi*std::sin(angle); |
---|
| 1082 | |
---|
| 1083 | return randAngle; |
---|
| 1084 | } |
---|
| 1085 | |
---|
| 1086 | ////////////////////////////////////////////////////////////////////////////// |
---|
| 1087 | // |
---|
| 1088 | // Initialisation for given particle on fly using new element number |
---|
| 1089 | |
---|
| 1090 | void G4NuclNuclDiffuseElastic::InitialiseOnFly(G4double Z, G4double A) |
---|
| 1091 | { |
---|
| 1092 | fAtomicNumber = Z; // atomic number |
---|
| 1093 | fAtomicWeight = A; // number of nucleons |
---|
| 1094 | |
---|
| 1095 | fNuclearRadius = CalculateNuclearRad(fAtomicWeight); |
---|
| 1096 | |
---|
| 1097 | if( verboseLevel > 0 ) |
---|
| 1098 | { |
---|
| 1099 | G4cout<<"G4NuclNuclDiffuseElastic::Initialise() the element with Z = " |
---|
| 1100 | <<Z<<"; and A = "<<A<<G4endl; |
---|
| 1101 | } |
---|
| 1102 | fElementNumberVector.push_back(fAtomicNumber); |
---|
| 1103 | |
---|
| 1104 | BuildAngleTable(); |
---|
| 1105 | |
---|
| 1106 | fAngleBank.push_back(fAngleTable); |
---|
| 1107 | |
---|
| 1108 | return; |
---|
| 1109 | } |
---|
| 1110 | |
---|
| 1111 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1112 | // |
---|
| 1113 | // Build for given particle and element table of momentum, angle probability. |
---|
| 1114 | // For the moment in lab system. |
---|
| 1115 | |
---|
| 1116 | void G4NuclNuclDiffuseElastic::BuildAngleTable() |
---|
| 1117 | { |
---|
| 1118 | G4int i, j; |
---|
| 1119 | G4double partMom, kinE, a = 0., z = fParticle->GetPDGCharge(), m1 = fParticle->GetPDGMass(); |
---|
| 1120 | G4double alpha1, alpha2, alphaMax, alphaCoulomb, delta = 0., sum = 0.; |
---|
| 1121 | |
---|
| 1122 | G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral; |
---|
| 1123 | |
---|
| 1124 | fAngleTable = new G4PhysicsTable(fEnergyBin); |
---|
| 1125 | |
---|
| 1126 | for( i = 0; i < fEnergyBin; i++) |
---|
| 1127 | { |
---|
| 1128 | kinE = fEnergyVector->GetLowEdgeEnergy(i); |
---|
| 1129 | partMom = std::sqrt( kinE*(kinE + 2*m1) ); |
---|
| 1130 | |
---|
| 1131 | fWaveVector = partMom/hbarc; |
---|
| 1132 | |
---|
| 1133 | G4double kR = fWaveVector*fNuclearRadius; |
---|
| 1134 | G4double kR2 = kR*kR; |
---|
| 1135 | G4double kRmax = 18.6; // 10.6; 10.6, 18, 10.174; ~ 3 maxima of J1 or 15., 25. |
---|
| 1136 | G4double kRcoul = 1.9; // 1.2; 1.4, 2.5; // on the first slope of J1 |
---|
| 1137 | // G4double kRlim = 1.2; |
---|
| 1138 | // G4double kRlim2 = kRlim*kRlim/kR2; |
---|
| 1139 | |
---|
| 1140 | alphaMax = kRmax*kRmax/kR2; |
---|
| 1141 | |
---|
| 1142 | if (alphaMax > 4.) alphaMax = 4.; // vmg05-02-09: was pi2 |
---|
| 1143 | |
---|
| 1144 | alphaCoulomb = kRcoul*kRcoul/kR2; |
---|
| 1145 | |
---|
| 1146 | if( z ) |
---|
| 1147 | { |
---|
| 1148 | a = partMom/m1; // beta*gamma for m1 |
---|
| 1149 | fBeta = a/std::sqrt(1+a*a); |
---|
| 1150 | fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber); |
---|
| 1151 | fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber); |
---|
| 1152 | } |
---|
| 1153 | G4PhysicsFreeVector* angleVector = new G4PhysicsFreeVector(fAngleBin-1); |
---|
| 1154 | |
---|
| 1155 | // G4PhysicsLogVector* angleBins = new G4PhysicsLogVector( 0.001*alphaMax, alphaMax, fAngleBin ); |
---|
| 1156 | |
---|
| 1157 | G4double delth = alphaMax/fAngleBin; |
---|
| 1158 | |
---|
| 1159 | sum = 0.; |
---|
| 1160 | |
---|
| 1161 | // fAddCoulomb = false; |
---|
| 1162 | fAddCoulomb = true; |
---|
| 1163 | |
---|
| 1164 | // for(j = 1; j < fAngleBin; j++) |
---|
| 1165 | for(j = fAngleBin-1; j >= 1; j--) |
---|
| 1166 | { |
---|
| 1167 | // alpha1 = angleBins->GetLowEdgeEnergy(j-1); |
---|
| 1168 | // alpha2 = angleBins->GetLowEdgeEnergy(j); |
---|
| 1169 | |
---|
| 1170 | // alpha1 = alphaMax*(j-1)/fAngleBin; |
---|
| 1171 | // alpha2 = alphaMax*( j )/fAngleBin; |
---|
| 1172 | |
---|
| 1173 | alpha1 = delth*(j-1); |
---|
| 1174 | // if(alpha1 < kRlim2) alpha1 = kRlim2; |
---|
| 1175 | alpha2 = alpha1 + delth; |
---|
| 1176 | |
---|
| 1177 | // if( ( alpha2 > alphaCoulomb ) && z ) fAddCoulomb = true; |
---|
| 1178 | if( ( alpha1 < alphaCoulomb ) && z ) fAddCoulomb = false; |
---|
| 1179 | |
---|
| 1180 | delta = integral.Legendre10(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2); |
---|
| 1181 | // delta = integral.Legendre96(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2); |
---|
| 1182 | |
---|
| 1183 | sum += delta; |
---|
| 1184 | |
---|
| 1185 | angleVector->PutValue( j-1 , alpha1, sum ); // alpha2 |
---|
| 1186 | // G4cout<<"j-1 = "<<j-1<<"; alpha2 = "<<alpha2<<"; sum = "<<sum<<G4endl; |
---|
| 1187 | } |
---|
| 1188 | fAngleTable->insertAt(i,angleVector); |
---|
| 1189 | |
---|
| 1190 | // delete[] angleVector; |
---|
| 1191 | // delete[] angleBins; |
---|
| 1192 | } |
---|
| 1193 | return; |
---|
| 1194 | } |
---|
| 1195 | |
---|
| 1196 | ///////////////////////////////////////////////////////////////////////////////// |
---|
| 1197 | // |
---|
| 1198 | // |
---|
| 1199 | |
---|
| 1200 | G4double |
---|
| 1201 | G4NuclNuclDiffuseElastic:: GetScatteringAngle( G4int iMomentum, G4int iAngle, G4double position ) |
---|
| 1202 | { |
---|
| 1203 | G4double x1, x2, y1, y2, randAngle; |
---|
| 1204 | |
---|
| 1205 | if( iAngle == 0 ) |
---|
| 1206 | { |
---|
| 1207 | randAngle = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle); |
---|
| 1208 | // iAngle++; |
---|
| 1209 | } |
---|
| 1210 | else |
---|
| 1211 | { |
---|
| 1212 | if ( iAngle >= G4int((*fAngleTable)(iMomentum)->GetVectorLength()) ) |
---|
| 1213 | { |
---|
| 1214 | iAngle = (*fAngleTable)(iMomentum)->GetVectorLength() - 1; |
---|
| 1215 | } |
---|
| 1216 | y1 = (*(*fAngleTable)(iMomentum))(iAngle-1); |
---|
| 1217 | y2 = (*(*fAngleTable)(iMomentum))(iAngle); |
---|
| 1218 | |
---|
| 1219 | x1 = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle-1); |
---|
| 1220 | x2 = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle); |
---|
| 1221 | |
---|
| 1222 | if ( x1 == x2 ) randAngle = x2; |
---|
| 1223 | else |
---|
| 1224 | { |
---|
| 1225 | if ( y1 == y2 ) randAngle = x1 + ( x2 - x1 )*G4UniformRand(); |
---|
| 1226 | else |
---|
| 1227 | { |
---|
| 1228 | randAngle = x1 + ( position - y1 )*( x2 - x1 )/( y2 - y1 ); |
---|
| 1229 | } |
---|
| 1230 | } |
---|
| 1231 | } |
---|
| 1232 | return randAngle; |
---|
| 1233 | } |
---|
| 1234 | |
---|
| 1235 | |
---|
| 1236 | |
---|
| 1237 | //////////////////////////////////////////////////////////////////////////// |
---|
| 1238 | // |
---|
| 1239 | // Return scattering angle sampled in lab system (target at rest) |
---|
| 1240 | |
---|
| 1241 | |
---|
| 1242 | |
---|
| 1243 | G4double |
---|
| 1244 | G4NuclNuclDiffuseElastic::SampleThetaLab( const G4HadProjectile* aParticle, |
---|
| 1245 | G4double tmass, G4double A) |
---|
| 1246 | { |
---|
| 1247 | const G4ParticleDefinition* theParticle = aParticle->GetDefinition(); |
---|
| 1248 | G4double m1 = theParticle->GetPDGMass(); |
---|
| 1249 | G4double plab = aParticle->GetTotalMomentum(); |
---|
| 1250 | G4LorentzVector lv1 = aParticle->Get4Momentum(); |
---|
| 1251 | G4LorentzVector lv(0.0,0.0,0.0,tmass); |
---|
| 1252 | lv += lv1; |
---|
| 1253 | |
---|
| 1254 | G4ThreeVector bst = lv.boostVector(); |
---|
| 1255 | lv1.boost(-bst); |
---|
| 1256 | |
---|
| 1257 | G4ThreeVector p1 = lv1.vect(); |
---|
| 1258 | G4double ptot = p1.mag(); |
---|
| 1259 | G4double tmax = 4.0*ptot*ptot; |
---|
| 1260 | G4double t = 0.0; |
---|
| 1261 | |
---|
| 1262 | |
---|
| 1263 | // |
---|
| 1264 | // Sample t |
---|
| 1265 | // |
---|
| 1266 | |
---|
| 1267 | t = SampleT( theParticle, ptot, A); |
---|
| 1268 | |
---|
| 1269 | // NaN finder |
---|
| 1270 | if(!(t < 0.0 || t >= 0.0)) |
---|
| 1271 | { |
---|
| 1272 | if (verboseLevel > 0) |
---|
| 1273 | { |
---|
| 1274 | G4cout << "G4NuclNuclDiffuseElastic:WARNING: A = " << A |
---|
| 1275 | << " mom(GeV)= " << plab/GeV |
---|
| 1276 | << " S-wave will be sampled" |
---|
| 1277 | << G4endl; |
---|
| 1278 | } |
---|
| 1279 | t = G4UniformRand()*tmax; |
---|
| 1280 | } |
---|
| 1281 | if(verboseLevel>1) |
---|
| 1282 | { |
---|
| 1283 | G4cout <<" t= " << t << " tmax= " << tmax |
---|
| 1284 | << " ptot= " << ptot << G4endl; |
---|
| 1285 | } |
---|
| 1286 | // Sampling of angles in CM system |
---|
| 1287 | |
---|
| 1288 | G4double phi = G4UniformRand()*twopi; |
---|
| 1289 | G4double cost = 1. - 2.0*t/tmax; |
---|
| 1290 | G4double sint; |
---|
| 1291 | |
---|
| 1292 | if( cost >= 1.0 ) |
---|
| 1293 | { |
---|
| 1294 | cost = 1.0; |
---|
| 1295 | sint = 0.0; |
---|
| 1296 | } |
---|
| 1297 | else if( cost <= -1.0) |
---|
| 1298 | { |
---|
| 1299 | cost = -1.0; |
---|
| 1300 | sint = 0.0; |
---|
| 1301 | } |
---|
| 1302 | else |
---|
| 1303 | { |
---|
| 1304 | sint = std::sqrt((1.0-cost)*(1.0+cost)); |
---|
| 1305 | } |
---|
| 1306 | if (verboseLevel>1) |
---|
| 1307 | { |
---|
| 1308 | G4cout << "cos(t)=" << cost << " std::sin(t)=" << sint << G4endl; |
---|
| 1309 | } |
---|
| 1310 | G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost); |
---|
| 1311 | v1 *= ptot; |
---|
| 1312 | G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1)); |
---|
| 1313 | |
---|
| 1314 | nlv1.boost(bst); |
---|
| 1315 | |
---|
| 1316 | G4ThreeVector np1 = nlv1.vect(); |
---|
| 1317 | |
---|
| 1318 | // G4double theta = std::acos( np1.z()/np1.mag() ); // degree; |
---|
| 1319 | |
---|
| 1320 | G4double theta = np1.theta(); |
---|
| 1321 | |
---|
| 1322 | return theta; |
---|
| 1323 | } |
---|
| 1324 | |
---|
| 1325 | //////////////////////////////////////////////////////////////////////////// |
---|
| 1326 | // |
---|
| 1327 | // Return scattering angle in lab system (target at rest) knowing theta in CMS |
---|
| 1328 | |
---|
| 1329 | |
---|
| 1330 | |
---|
| 1331 | G4double |
---|
| 1332 | G4NuclNuclDiffuseElastic::ThetaCMStoThetaLab( const G4DynamicParticle* aParticle, |
---|
| 1333 | G4double tmass, G4double thetaCMS) |
---|
| 1334 | { |
---|
| 1335 | const G4ParticleDefinition* theParticle = aParticle->GetDefinition(); |
---|
| 1336 | G4double m1 = theParticle->GetPDGMass(); |
---|
| 1337 | // G4double plab = aParticle->GetTotalMomentum(); |
---|
| 1338 | G4LorentzVector lv1 = aParticle->Get4Momentum(); |
---|
| 1339 | G4LorentzVector lv(0.0,0.0,0.0,tmass); |
---|
| 1340 | |
---|
| 1341 | lv += lv1; |
---|
| 1342 | |
---|
| 1343 | G4ThreeVector bst = lv.boostVector(); |
---|
| 1344 | |
---|
| 1345 | lv1.boost(-bst); |
---|
| 1346 | |
---|
| 1347 | G4ThreeVector p1 = lv1.vect(); |
---|
| 1348 | G4double ptot = p1.mag(); |
---|
| 1349 | |
---|
| 1350 | G4double phi = G4UniformRand()*twopi; |
---|
| 1351 | G4double cost = std::cos(thetaCMS); |
---|
| 1352 | G4double sint; |
---|
| 1353 | |
---|
| 1354 | if( cost >= 1.0 ) |
---|
| 1355 | { |
---|
| 1356 | cost = 1.0; |
---|
| 1357 | sint = 0.0; |
---|
| 1358 | } |
---|
| 1359 | else if( cost <= -1.0) |
---|
| 1360 | { |
---|
| 1361 | cost = -1.0; |
---|
| 1362 | sint = 0.0; |
---|
| 1363 | } |
---|
| 1364 | else |
---|
| 1365 | { |
---|
| 1366 | sint = std::sqrt((1.0-cost)*(1.0+cost)); |
---|
| 1367 | } |
---|
| 1368 | if (verboseLevel>1) |
---|
| 1369 | { |
---|
| 1370 | G4cout << "cos(tcms)=" << cost << " std::sin(tcms)=" << sint << G4endl; |
---|
| 1371 | } |
---|
| 1372 | G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost); |
---|
| 1373 | v1 *= ptot; |
---|
| 1374 | G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1)); |
---|
| 1375 | |
---|
| 1376 | nlv1.boost(bst); |
---|
| 1377 | |
---|
| 1378 | G4ThreeVector np1 = nlv1.vect(); |
---|
| 1379 | |
---|
| 1380 | |
---|
| 1381 | G4double thetaLab = np1.theta(); |
---|
| 1382 | |
---|
| 1383 | return thetaLab; |
---|
| 1384 | } |
---|
| 1385 | |
---|
| 1386 | //////////////////////////////////////////////////////////////////////////// |
---|
| 1387 | // |
---|
| 1388 | // Return scattering angle in CMS system (target at rest) knowing theta in Lab |
---|
| 1389 | |
---|
| 1390 | |
---|
| 1391 | |
---|
| 1392 | G4double |
---|
| 1393 | G4NuclNuclDiffuseElastic::ThetaLabToThetaCMS( const G4DynamicParticle* aParticle, |
---|
| 1394 | G4double tmass, G4double thetaLab) |
---|
| 1395 | { |
---|
| 1396 | const G4ParticleDefinition* theParticle = aParticle->GetDefinition(); |
---|
| 1397 | G4double m1 = theParticle->GetPDGMass(); |
---|
| 1398 | G4double plab = aParticle->GetTotalMomentum(); |
---|
| 1399 | G4LorentzVector lv1 = aParticle->Get4Momentum(); |
---|
| 1400 | G4LorentzVector lv(0.0,0.0,0.0,tmass); |
---|
| 1401 | |
---|
| 1402 | lv += lv1; |
---|
| 1403 | |
---|
| 1404 | G4ThreeVector bst = lv.boostVector(); |
---|
| 1405 | |
---|
| 1406 | // lv1.boost(-bst); |
---|
| 1407 | |
---|
| 1408 | // G4ThreeVector p1 = lv1.vect(); |
---|
| 1409 | // G4double ptot = p1.mag(); |
---|
| 1410 | |
---|
| 1411 | G4double phi = G4UniformRand()*twopi; |
---|
| 1412 | G4double cost = std::cos(thetaLab); |
---|
| 1413 | G4double sint; |
---|
| 1414 | |
---|
| 1415 | if( cost >= 1.0 ) |
---|
| 1416 | { |
---|
| 1417 | cost = 1.0; |
---|
| 1418 | sint = 0.0; |
---|
| 1419 | } |
---|
| 1420 | else if( cost <= -1.0) |
---|
| 1421 | { |
---|
| 1422 | cost = -1.0; |
---|
| 1423 | sint = 0.0; |
---|
| 1424 | } |
---|
| 1425 | else |
---|
| 1426 | { |
---|
| 1427 | sint = std::sqrt((1.0-cost)*(1.0+cost)); |
---|
| 1428 | } |
---|
| 1429 | if (verboseLevel>1) |
---|
| 1430 | { |
---|
| 1431 | G4cout << "cos(tlab)=" << cost << " std::sin(tlab)=" << sint << G4endl; |
---|
| 1432 | } |
---|
| 1433 | G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost); |
---|
| 1434 | v1 *= plab; |
---|
| 1435 | G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(plab*plab + m1*m1)); |
---|
| 1436 | |
---|
| 1437 | nlv1.boost(-bst); |
---|
| 1438 | |
---|
| 1439 | G4ThreeVector np1 = nlv1.vect(); |
---|
| 1440 | |
---|
| 1441 | |
---|
| 1442 | G4double thetaCMS = np1.theta(); |
---|
| 1443 | |
---|
| 1444 | return thetaCMS; |
---|
| 1445 | } |
---|
| 1446 | |
---|
| 1447 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1448 | // |
---|
| 1449 | // Test for given particle and element table of momentum, angle probability. |
---|
| 1450 | // For the moment in lab system. |
---|
| 1451 | |
---|
| 1452 | void G4NuclNuclDiffuseElastic::TestAngleTable(const G4ParticleDefinition* theParticle, G4double partMom, |
---|
| 1453 | G4double Z, G4double A) |
---|
| 1454 | { |
---|
| 1455 | fAtomicNumber = Z; // atomic number |
---|
| 1456 | fAtomicWeight = A; // number of nucleons |
---|
| 1457 | fNuclearRadius = CalculateNuclearRad(fAtomicWeight); |
---|
| 1458 | |
---|
| 1459 | |
---|
| 1460 | |
---|
| 1461 | G4cout<<"G4NuclNuclDiffuseElastic::TestAngleTable() init the element with Z = " |
---|
| 1462 | <<Z<<"; and A = "<<A<<G4endl; |
---|
| 1463 | |
---|
| 1464 | fElementNumberVector.push_back(fAtomicNumber); |
---|
| 1465 | |
---|
| 1466 | |
---|
| 1467 | |
---|
| 1468 | |
---|
| 1469 | G4int i=0, j; |
---|
| 1470 | G4double a = 0., z = theParticle->GetPDGCharge(), m1 = fParticle->GetPDGMass(); |
---|
| 1471 | G4double alpha1=0., alpha2=0., alphaMax=0., alphaCoulomb=0.; |
---|
| 1472 | G4double deltaL10 = 0., deltaL96 = 0., deltaAG = 0.; |
---|
| 1473 | G4double sumL10 = 0.,sumL96 = 0.,sumAG = 0.; |
---|
| 1474 | G4double epsilon = 0.001; |
---|
| 1475 | |
---|
| 1476 | G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral; |
---|
| 1477 | |
---|
| 1478 | fAngleTable = new G4PhysicsTable(fEnergyBin); |
---|
| 1479 | |
---|
| 1480 | fWaveVector = partMom/hbarc; |
---|
| 1481 | |
---|
| 1482 | G4double kR = fWaveVector*fNuclearRadius; |
---|
| 1483 | G4double kR2 = kR*kR; |
---|
| 1484 | G4double kRmax = 10.6; // 10.6, 18, 10.174; ~ 3 maxima of J1 or 15., 25. |
---|
| 1485 | G4double kRcoul = 1.2; // 1.4, 2.5; // on the first slope of J1 |
---|
| 1486 | |
---|
| 1487 | alphaMax = kRmax*kRmax/kR2; |
---|
| 1488 | |
---|
| 1489 | if (alphaMax > 4.) alphaMax = 4.; // vmg05-02-09: was pi2 |
---|
| 1490 | |
---|
| 1491 | alphaCoulomb = kRcoul*kRcoul/kR2; |
---|
| 1492 | |
---|
| 1493 | if( z ) |
---|
| 1494 | { |
---|
| 1495 | a = partMom/m1; // beta*gamma for m1 |
---|
| 1496 | fBeta = a/std::sqrt(1+a*a); |
---|
| 1497 | fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber); |
---|
| 1498 | fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber); |
---|
| 1499 | } |
---|
| 1500 | G4PhysicsFreeVector* angleVector = new G4PhysicsFreeVector(fAngleBin-1); |
---|
| 1501 | |
---|
| 1502 | // G4PhysicsLogVector* angleBins = new G4PhysicsLogVector( 0.001*alphaMax, alphaMax, fAngleBin ); |
---|
| 1503 | |
---|
| 1504 | |
---|
| 1505 | fAddCoulomb = false; |
---|
| 1506 | |
---|
| 1507 | for(j = 1; j < fAngleBin; j++) |
---|
| 1508 | { |
---|
| 1509 | // alpha1 = angleBins->GetLowEdgeEnergy(j-1); |
---|
| 1510 | // alpha2 = angleBins->GetLowEdgeEnergy(j); |
---|
| 1511 | |
---|
| 1512 | alpha1 = alphaMax*(j-1)/fAngleBin; |
---|
| 1513 | alpha2 = alphaMax*( j )/fAngleBin; |
---|
| 1514 | |
---|
| 1515 | if( ( alpha2 > alphaCoulomb ) && z ) fAddCoulomb = true; |
---|
| 1516 | |
---|
| 1517 | deltaL10 = integral.Legendre10(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2); |
---|
| 1518 | deltaL96 = integral.Legendre96(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2); |
---|
| 1519 | deltaAG = integral.AdaptiveGauss(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, |
---|
| 1520 | alpha1, alpha2,epsilon); |
---|
| 1521 | |
---|
| 1522 | // G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/degree<<"\t" |
---|
| 1523 | // <<deltaL10<<"\t"<<deltaL96<<"\t"<<deltaAG<<G4endl; |
---|
| 1524 | |
---|
| 1525 | sumL10 += deltaL10; |
---|
| 1526 | sumL96 += deltaL96; |
---|
| 1527 | sumAG += deltaAG; |
---|
| 1528 | |
---|
| 1529 | G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/degree<<"\t" |
---|
| 1530 | <<sumL10<<"\t"<<sumL96<<"\t"<<sumAG<<G4endl; |
---|
| 1531 | |
---|
| 1532 | angleVector->PutValue( j-1 , alpha1, sumL10 ); // alpha2 |
---|
| 1533 | } |
---|
| 1534 | fAngleTable->insertAt(i,angleVector); |
---|
| 1535 | fAngleBank.push_back(fAngleTable); |
---|
| 1536 | |
---|
| 1537 | /* |
---|
| 1538 | // Integral over all angle range - Bad accuracy !!! |
---|
| 1539 | |
---|
| 1540 | sumL10 = integral.Legendre10(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., alpha2); |
---|
| 1541 | sumL96 = integral.Legendre96(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., alpha2); |
---|
| 1542 | sumAG = integral.AdaptiveGauss(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, |
---|
| 1543 | 0., alpha2,epsilon); |
---|
| 1544 | G4cout<<G4endl; |
---|
| 1545 | G4cout<<alpha2<<"\t"<<std::sqrt(alpha2)/degree<<"\t" |
---|
| 1546 | <<sumL10<<"\t"<<sumL96<<"\t"<<sumAG<<G4endl; |
---|
| 1547 | */ |
---|
| 1548 | return; |
---|
| 1549 | } |
---|
| 1550 | |
---|
| 1551 | // |
---|
| 1552 | // |
---|
| 1553 | ///////////////////////////////////////////////////////////////////////////////// |
---|