| 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: G4MuBremsstrahlungModel.cc,v 1.32 2008/07/22 16:11:34 vnivanch Exp $
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| 27 | // GEANT4 tag $Name: geant4-09-02 $
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| 28 | //
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| 29 | // -------------------------------------------------------------------
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| 30 | //
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| 31 | // GEANT4 Class file
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| 32 | //
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| 33 | //
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| 34 | // File name: G4MuBremsstrahlungModel
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| 35 | //
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| 36 | // Author: Vladimir Ivanchenko on base of Laszlo Urban code
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| 37 | //
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| 38 | // Creation date: 24.06.2002
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| 39 | //
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| 40 | // Modifications:
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| 41 | //
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| 42 | // 04-12-02 Change G4DynamicParticle constructor in PostStepDoIt (V.Ivanchenko)
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| 43 | // 23-12-02 Change interface in order to move to cut per region (V.Ivanchenko)
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| 44 | // 24-01-03 Fix for compounds (V.Ivanchenko)
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| 45 | // 27-01-03 Make models region aware (V.Ivanchenko)
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| 46 | // 13-02-03 Add name (V.Ivanchenko)
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| 47 | // 10-02-04 Add lowestKinEnergy (V.Ivanchenko)
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| 48 | // 08-04-05 Major optimisation of internal interfaces (V.Ivanchenko)
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| 49 | // 03-08-05 Angular correlations according to PRM (V.Ivanchenko)
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| 50 | // 13-02-06 add ComputeCrossSectionPerAtom (mma)
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| 51 | // 21-03-06 Fix problem of initialisation in case when cuts are not defined (VI)
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| 52 | // 07-11-07 Improve sampling of final state (A.Bogdanov)
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| 53 | // 28-02-08 Use precomputed Z^1/3 and Log(A) (V.Ivanchenko)
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| 54 | //
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| 55 |
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| 56 | //
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| 57 | // Class Description:
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| 58 | //
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| 59 | //
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| 60 | // -------------------------------------------------------------------
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| 61 | //
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| 62 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 63 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 64 |
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| 65 | #include "G4MuBremsstrahlungModel.hh"
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| 66 | #include "G4Gamma.hh"
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| 67 | #include "G4MuonMinus.hh"
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| 68 | #include "G4MuonPlus.hh"
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| 69 | #include "Randomize.hh"
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| 70 | #include "G4Material.hh"
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| 71 | #include "G4Element.hh"
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| 72 | #include "G4ElementVector.hh"
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| 73 | #include "G4ProductionCutsTable.hh"
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| 74 | #include "G4ParticleChangeForLoss.hh"
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| 75 |
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| 76 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 77 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 78 |
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| 79 | using namespace std;
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| 80 |
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| 81 | G4MuBremsstrahlungModel::G4MuBremsstrahlungModel(const G4ParticleDefinition* p,
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| 82 | const G4String& nam)
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| 83 | : G4VEmModel(nam),
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| 84 | particle(0),
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| 85 | sqrte(sqrt(exp(1.))),
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| 86 | bh(202.4),
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| 87 | bh1(446.),
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| 88 | btf(183.),
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| 89 | btf1(1429.),
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| 90 | fParticleChange(0),
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| 91 | lowestKinEnergy(1.0*GeV),
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| 92 | minThreshold(1.0*keV)
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| 93 | {
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| 94 | theGamma = G4Gamma::Gamma();
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| 95 | nist = G4NistManager::Instance();
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| 96 | if(p) SetParticle(p);
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| 97 | }
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| 98 |
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| 99 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 100 |
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| 101 | G4MuBremsstrahlungModel::~G4MuBremsstrahlungModel()
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| 102 | {
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| 103 | size_t n = partialSumSigma.size();
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| 104 | if(n > 0) {
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| 105 | for(size_t i=0; i<n; i++) {
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| 106 | delete partialSumSigma[i];
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| 107 | }
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| 108 | }
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| 109 | }
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| 110 |
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| 111 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 112 |
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| 113 | void G4MuBremsstrahlungModel::Initialise(const G4ParticleDefinition* p,
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| 114 | const G4DataVector& cuts)
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| 115 | {
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| 116 | if(p) SetParticle(p);
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| 117 |
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| 118 | highKinEnergy = HighEnergyLimit();
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| 119 |
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| 120 | // partial cross section is computed for fixed energy
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| 121 | G4double fixedEnergy = 0.5*highKinEnergy;
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| 122 |
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| 123 | const G4ProductionCutsTable* theCoupleTable=
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| 124 | G4ProductionCutsTable::GetProductionCutsTable();
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| 125 | if(theCoupleTable) {
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| 126 | G4int numOfCouples = theCoupleTable->GetTableSize();
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| 127 |
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| 128 | // clear old data
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| 129 | G4int nn = partialSumSigma.size();
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| 130 | G4int nc = cuts.size();
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| 131 | if(nn > 0) {
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| 132 | for (G4int ii=0; ii<nn; ii++){
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| 133 | G4DataVector* a=partialSumSigma[ii];
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| 134 | if ( a ) delete a;
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| 135 | }
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| 136 | partialSumSigma.clear();
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| 137 | }
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| 138 | // fill new data
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| 139 | if (numOfCouples>0) {
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| 140 | for (G4int i=0; i<numOfCouples; i++) {
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| 141 | G4double cute = DBL_MAX;
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| 142 |
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| 143 | // protection for usage with extrapolator
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| 144 | if(i < nc) cute = cuts[i];
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| 145 |
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| 146 | const G4MaterialCutsCouple* couple =
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| 147 | theCoupleTable->GetMaterialCutsCouple(i);
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| 148 | const G4Material* material = couple->GetMaterial();
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| 149 | G4DataVector* dv = ComputePartialSumSigma(material,fixedEnergy,cute);
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| 150 | partialSumSigma.push_back(dv);
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| 151 | }
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| 152 | }
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| 153 | }
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| 154 |
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| 155 | // define pointer to G4ParticleChange
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| 156 | if(!fParticleChange) {
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| 157 | if(pParticleChange)
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| 158 | fParticleChange =
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| 159 | reinterpret_cast<G4ParticleChangeForLoss*>(pParticleChange);
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| 160 | else
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| 161 | fParticleChange = new G4ParticleChangeForLoss();
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| 162 | }
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| 163 | }
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| 164 |
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| 165 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 166 |
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| 167 | G4double G4MuBremsstrahlungModel::ComputeDEDXPerVolume(
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| 168 | const G4Material* material,
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| 169 | const G4ParticleDefinition*,
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| 170 | G4double kineticEnergy,
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| 171 | G4double cutEnergy)
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| 172 | {
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| 173 | G4double dedx = 0.0;
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| 174 | if (kineticEnergy <= lowestKinEnergy) return dedx;
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| 175 |
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| 176 | G4double tmax = kineticEnergy;
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| 177 | G4double cut = std::min(cutEnergy,tmax);
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| 178 | if(cut < minThreshold) cut = minThreshold;
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| 179 |
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| 180 | const G4ElementVector* theElementVector = material->GetElementVector();
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| 181 | const G4double* theAtomicNumDensityVector =
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| 182 | material->GetAtomicNumDensityVector();
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| 183 |
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| 184 | // loop for elements in the material
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| 185 | for (size_t i=0; i<material->GetNumberOfElements(); i++) {
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| 186 |
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| 187 | G4double loss =
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| 188 | ComputMuBremLoss((*theElementVector)[i]->GetZ(), kineticEnergy, cut);
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| 189 |
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| 190 | dedx += loss*theAtomicNumDensityVector[i];
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| 191 | }
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| 192 | // G4cout << "BR e= " << kineticEnergy << " dedx= " << dedx << G4endl;
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| 193 | if(dedx < 0.) dedx = 0.;
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| 194 | return dedx;
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| 195 | }
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| 196 |
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| 197 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 198 |
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| 199 | G4double G4MuBremsstrahlungModel::ComputMuBremLoss(G4double Z,
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| 200 | G4double tkin, G4double cut)
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| 201 | {
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| 202 | G4double totalEnergy = mass + tkin;
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| 203 | G4double ak1 = 0.05;
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| 204 | G4int k2=5;
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| 205 | G4double xgi[]={0.03377,0.16940,0.38069,0.61931,0.83060,0.96623};
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| 206 | G4double wgi[]={0.08566,0.18038,0.23396,0.23396,0.18038,0.08566};
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| 207 | G4double loss = 0.;
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| 208 |
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| 209 | G4double vcut = cut/totalEnergy;
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| 210 | G4double vmax = tkin/totalEnergy;
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| 211 |
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| 212 | G4double aaa = 0.;
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| 213 | G4double bbb = vcut;
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| 214 | if(vcut>vmax) bbb=vmax ;
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| 215 | G4int kkk = (G4int)((bbb-aaa)/ak1)+k2 ;
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| 216 | G4double hhh=(bbb-aaa)/float(kkk) ;
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| 217 |
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| 218 | G4double aa = aaa;
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| 219 | for(G4int l=0; l<kkk; l++)
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| 220 | {
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| 221 | for(G4int i=0; i<6; i++)
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| 222 | {
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| 223 | G4double ep = (aa + xgi[i]*hhh)*totalEnergy;
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| 224 | loss += ep*wgi[i]*ComputeDMicroscopicCrossSection(tkin, Z, ep);
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| 225 | }
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| 226 | aa += hhh;
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| 227 | }
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| 228 |
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| 229 | loss *=hhh*totalEnergy ;
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| 230 |
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| 231 | return loss;
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| 232 | }
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| 233 |
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| 234 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 235 |
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| 236 | G4double G4MuBremsstrahlungModel::ComputeMicroscopicCrossSection(
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| 237 | G4double tkin,
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| 238 | G4double Z,
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| 239 | G4double cut)
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| 240 | {
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| 241 | G4double totalEnergy = tkin + mass;
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| 242 | G4double ak1 = 2.3;
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| 243 | G4int k2 = 4;
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| 244 | G4double xgi[]={0.03377,0.16940,0.38069,0.61931,0.83060,0.96623};
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| 245 | G4double wgi[]={0.08566,0.18038,0.23396,0.23396,0.18038,0.08566};
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| 246 | G4double cross = 0.;
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| 247 |
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| 248 | if(cut >= tkin) return cross;
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| 249 |
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| 250 | G4double vcut = cut/totalEnergy;
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| 251 | G4double vmax = tkin/totalEnergy;
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| 252 |
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| 253 | G4double aaa = log(vcut);
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| 254 | G4double bbb = log(vmax);
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| 255 | G4int kkk = (G4int)((bbb-aaa)/ak1)+k2 ;
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| 256 | G4double hhh = (bbb-aaa)/G4double(kkk);
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| 257 |
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| 258 | G4double aa = aaa;
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| 259 |
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| 260 | for(G4int l=0; l<kkk; l++)
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| 261 | {
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| 262 | for(G4int i=0; i<6; i++)
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| 263 | {
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| 264 | G4double ep = exp(aa + xgi[i]*hhh)*totalEnergy;
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| 265 | cross += ep*wgi[i]*ComputeDMicroscopicCrossSection(tkin, Z, ep);
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| 266 | }
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| 267 | aa += hhh;
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| 268 | }
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| 269 |
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| 270 | cross *=hhh;
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| 271 |
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| 272 | //G4cout << "BR e= " << tkin<< " cross= " << cross/barn << G4endl;
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| 273 |
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| 274 | return cross;
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| 275 | }
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| 276 |
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| 277 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 278 |
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| 279 | G4double G4MuBremsstrahlungModel::ComputeDMicroscopicCrossSection(
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| 280 | G4double tkin,
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| 281 | G4double Z,
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| 282 | G4double gammaEnergy)
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| 283 | // differential cross section
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| 284 | {
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| 285 | G4double dxsection = 0.;
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| 286 |
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| 287 | if( gammaEnergy > tkin) return dxsection ;
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| 288 |
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| 289 | G4double E = tkin + mass ;
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| 290 | G4double v = gammaEnergy/E ;
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| 291 | G4double delta = 0.5*mass*mass*v/(E-gammaEnergy) ;
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| 292 | G4double rab0=delta*sqrte ;
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| 293 |
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| 294 | G4int iz = G4int(Z);
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| 295 | if(iz < 1) iz = 1;
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| 296 |
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| 297 | G4double z13 = 1.0/nist->GetZ13(iz);
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| 298 | G4double dn = 1.54*nist->GetA27(iz);
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| 299 |
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| 300 | G4double b,b1,dnstar ;
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| 301 |
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| 302 | if(1 == iz)
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| 303 | {
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| 304 | b = bh;
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| 305 | b1 = bh1;
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| 306 | dnstar = dn;
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| 307 | }
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| 308 | else
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| 309 | {
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| 310 | b = btf;
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| 311 | b1 = btf1;
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| 312 | dnstar = dn/std::pow(dn, 1./Z);
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| 313 | }
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| 314 |
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| 315 | // nucleus contribution logarithm
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| 316 | G4double rab1=b*z13;
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| 317 | G4double fn=log(rab1/(dnstar*(electron_mass_c2+rab0*rab1))*
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| 318 | (mass+delta*(dnstar*sqrte-2.))) ;
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| 319 | if(fn <0.) fn = 0. ;
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| 320 | // electron contribution logarithm
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| 321 | G4double epmax1=E/(1.+0.5*mass*rmass/E) ;
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| 322 | G4double fe=0.;
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| 323 | if(gammaEnergy<epmax1)
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| 324 | {
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| 325 | G4double rab2=b1*z13*z13 ;
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| 326 | fe=log(rab2*mass/((1.+delta*rmass/(electron_mass_c2*sqrte))*
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| 327 | (electron_mass_c2+rab0*rab2))) ;
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| 328 | if(fe<0.) fe=0. ;
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| 329 | }
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| 330 |
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| 331 | dxsection = coeff*(1.-v*(1. - 0.75*v))*Z*(fn*Z + fe)/gammaEnergy;
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| 332 |
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| 333 | return dxsection;
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| 334 | }
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| 335 |
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| 336 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 337 |
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| 338 | G4double G4MuBremsstrahlungModel::ComputeCrossSectionPerAtom(
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| 339 | const G4ParticleDefinition*,
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| 340 | G4double kineticEnergy,
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| 341 | G4double Z, G4double,
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| 342 | G4double cutEnergy,
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| 343 | G4double maxEnergy)
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| 344 | {
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| 345 | G4double cross = 0.0;
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| 346 | if (kineticEnergy <= lowestKinEnergy) return cross;
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| 347 | G4double tmax = std::min(maxEnergy, kineticEnergy);
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| 348 | G4double cut = std::min(cutEnergy, kineticEnergy);
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| 349 | if(cut < minThreshold) cut = minThreshold;
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| 350 | if (cut >= tmax) return cross;
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| 351 |
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| 352 | cross = ComputeMicroscopicCrossSection (kineticEnergy, Z, cut);
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| 353 | if(tmax < kineticEnergy) {
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| 354 | cross -= ComputeMicroscopicCrossSection(kineticEnergy, Z, tmax);
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| 355 | }
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| 356 | return cross;
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| 357 | }
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| 358 |
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| 359 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 360 |
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| 361 | G4DataVector* G4MuBremsstrahlungModel::ComputePartialSumSigma(
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| 362 | const G4Material* material,
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| 363 | G4double kineticEnergy,
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| 364 | G4double cut)
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| 365 |
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| 366 | // Build the table of cross section per element.
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| 367 | // The table is built for material
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| 368 | // This table is used to select randomly an element in the material.
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| 369 | {
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| 370 | G4int nElements = material->GetNumberOfElements();
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| 371 | const G4ElementVector* theElementVector = material->GetElementVector();
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| 372 | const G4double* theAtomNumDensityVector =
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| 373 | material->GetAtomicNumDensityVector();
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| 374 |
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| 375 | G4DataVector* dv = new G4DataVector();
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| 376 |
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| 377 | G4double cross = 0.0;
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| 378 |
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| 379 | for (G4int i=0; i<nElements; i++ ) {
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| 380 | cross += theAtomNumDensityVector[i]
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| 381 | * ComputeMicroscopicCrossSection(kineticEnergy,
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| 382 | (*theElementVector)[i]->GetZ(), cut);
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| 383 | dv->push_back(cross);
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| 384 | }
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| 385 | return dv;
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| 386 | }
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| 387 |
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| 388 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 389 |
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| 390 | void G4MuBremsstrahlungModel::SampleSecondaries(
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| 391 | std::vector<G4DynamicParticle*>* vdp,
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| 392 | const G4MaterialCutsCouple* couple,
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| 393 | const G4DynamicParticle* dp,
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| 394 | G4double minEnergy,
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| 395 | G4double maxEnergy)
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| 396 | {
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| 397 | G4double kineticEnergy = dp->GetKineticEnergy();
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| 398 | // check against insufficient energy
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| 399 | G4double tmax = std::min(kineticEnergy, maxEnergy);
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| 400 | G4double tmin = std::min(kineticEnergy, minEnergy);
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| 401 | if(tmin < minThreshold) tmin = minThreshold;
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| 402 | if(tmin >= tmax) return;
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| 403 |
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| 404 | // ===== sampling of energy transfer ======
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| 405 |
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| 406 | G4ParticleMomentum partDirection = dp->GetMomentumDirection();
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| 407 |
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| 408 | // select randomly one element constituing the material
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| 409 | const G4Element* anElement = SelectRandomAtom(couple);
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| 410 | G4double Z = anElement->GetZ();
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| 411 |
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| 412 | G4double totalEnergy = kineticEnergy + mass;
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| 413 | G4double totalMomentum = sqrt(kineticEnergy*(kineticEnergy + 2.0*mass));
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| 414 |
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| 415 | G4double func1 = tmin*
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| 416 | ComputeDMicroscopicCrossSection(kineticEnergy,Z,tmin);
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| 417 |
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| 418 | G4double lnepksi, epksi;
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| 419 | G4double func2;
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| 420 |
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| 421 | do {
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| 422 | lnepksi = log(tmin) + G4UniformRand()*log(kineticEnergy/tmin);
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| 423 | epksi = exp(lnepksi);
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| 424 | func2 = epksi*ComputeDMicroscopicCrossSection(kineticEnergy,Z,epksi);
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| 425 |
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| 426 | } while(func2 < func1*G4UniformRand());
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| 427 |
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| 428 | G4double gEnergy = epksi;
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| 429 |
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| 430 | // ===== sample angle =====
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| 431 |
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| 432 | G4double gam = totalEnergy/mass;
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| 433 | G4double rmax = gam*std::min(1.0, totalEnergy/gEnergy - 1.0);
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| 434 | G4double rmax2= rmax*rmax;
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| 435 | G4double x = G4UniformRand()*rmax2/(1.0 + rmax2);
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| 436 |
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| 437 | G4double theta = sqrt(x/(1.0 - x))/gam;
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| 438 | G4double sint = sin(theta);
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| 439 | G4double phi = twopi * G4UniformRand() ;
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| 440 | G4double dirx = sint*cos(phi), diry = sint*sin(phi), dirz = cos(theta) ;
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| 441 |
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| 442 | G4ThreeVector gDirection(dirx, diry, dirz);
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| 443 | gDirection.rotateUz(partDirection);
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| 444 |
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| 445 | partDirection *= totalMomentum;
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| 446 | partDirection -= gEnergy*gDirection;
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| 447 | partDirection = partDirection.unit();
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| 448 |
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| 449 | // primary change
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| 450 | kineticEnergy -= gEnergy;
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| 451 | fParticleChange->SetProposedKineticEnergy(kineticEnergy);
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| 452 | fParticleChange->SetProposedMomentumDirection(partDirection);
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| 453 |
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| 454 | // save secondary
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| 455 | G4DynamicParticle* aGamma =
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| 456 | new G4DynamicParticle(theGamma,gDirection,gEnergy);
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| 457 | vdp->push_back(aGamma);
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| 458 | }
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| 459 |
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| 460 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 461 |
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| 462 | const G4Element* G4MuBremsstrahlungModel::SelectRandomAtom(
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| 463 | const G4MaterialCutsCouple* couple) const
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| 464 | {
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| 465 | // select randomly 1 element within the material
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| 466 |
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| 467 | const G4Material* material = couple->GetMaterial();
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| 468 | G4int nElements = material->GetNumberOfElements();
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| 469 | const G4ElementVector* theElementVector = material->GetElementVector();
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| 470 | if(1 == nElements) return (*theElementVector)[0];
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| 471 | else if(1 > nElements) return 0;
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| 472 |
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| 473 | G4DataVector* dv = partialSumSigma[couple->GetIndex()];
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| 474 | G4double rval = G4UniformRand()*((*dv)[nElements-1]);
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| 475 | for (G4int i=0; i<nElements; i++) {
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| 476 | if (rval <= (*dv)[i]) return (*theElementVector)[i];
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| 477 | }
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| 478 | return (*theElementVector)[nElements-1];
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| 479 | }
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| 480 |
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| 481 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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