[819] | 1 | // |
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| 2 | // ******************************************************************** |
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| 3 | // * License and Disclaimer * |
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| 4 | // * * |
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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| 7 | // * conditions of the Geant4 Software License, included in the file * |
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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| 9 | // * include a list of copyright holders. * |
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| 10 | // * * |
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| 11 | // * Neither the authors of this software system, nor their employing * |
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| 12 | // * institutes,nor the agencies providing financial support for this * |
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| 13 | // * work make any representation or warranty, express or implied, * |
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| 14 | // * regarding this software system or assume any liability for its * |
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| 15 | // * use. Please see the license in the file LICENSE and URL above * |
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| 16 | // * for the full disclaimer and the limitation of liability. * |
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| 17 | // * * |
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| 18 | // * This code implementation is the result of the scientific and * |
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| 19 | // * technical work of the GEANT4 collaboration. * |
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| 20 | // * By using, copying, modifying or distributing the software (or * |
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| 21 | // * any work based on the software) you agree to acknowledge its * |
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| 22 | // * use in resulting scientific publications, and indicate your * |
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| 23 | // * acceptance of all terms of the Geant4 Software license. * |
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| 24 | // ******************************************************************** |
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| 25 | // |
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[961] | 26 | // $Id: G4MuBremsstrahlungModel.cc,v 1.33 2009/02/20 14:48:16 vnivanch Exp $ |
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| 27 | // GEANT4 tag $Name: geant4-09-02-ref-02 $ |
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[819] | 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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[961] | 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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[819] | 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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[961] | 53 | // 28-02-08 Use precomputed Z^1/3 and Log(A) (V.Ivanchenko) |
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[819] | 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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[961] | 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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[819] | 91 | lowestKinEnergy(1.0*GeV), |
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[961] | 92 | minThreshold(1.0*keV) |
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[819] | 93 | { |
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| 94 | theGamma = G4Gamma::Gamma(); |
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[961] | 95 | nist = G4NistManager::Instance(); |
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[819] | 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 | G4double G4MuBremsstrahlungModel::MinEnergyCut(const G4ParticleDefinition*, |
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| 114 | const G4MaterialCutsCouple*) |
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| 115 | { |
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| 116 | return minThreshold; |
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| 117 | } |
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| 118 | |
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| 119 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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| 120 | |
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| 121 | void G4MuBremsstrahlungModel::Initialise(const G4ParticleDefinition* p, |
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| 122 | const G4DataVector& cuts) |
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| 123 | { |
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| 124 | if(p) SetParticle(p); |
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| 125 | |
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| 126 | highKinEnergy = HighEnergyLimit(); |
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| 127 | |
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[961] | 128 | // partial cross section is computed for fixed energy |
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[819] | 129 | G4double fixedEnergy = 0.5*highKinEnergy; |
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| 130 | |
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| 131 | const G4ProductionCutsTable* theCoupleTable= |
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| 132 | G4ProductionCutsTable::GetProductionCutsTable(); |
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| 133 | if(theCoupleTable) { |
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| 134 | G4int numOfCouples = theCoupleTable->GetTableSize(); |
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[961] | 135 | |
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| 136 | // clear old data |
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[819] | 137 | G4int nn = partialSumSigma.size(); |
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| 138 | G4int nc = cuts.size(); |
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| 139 | if(nn > 0) { |
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| 140 | for (G4int ii=0; ii<nn; ii++){ |
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[961] | 141 | G4DataVector* a = partialSumSigma[ii]; |
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[819] | 142 | if ( a ) delete a; |
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| 143 | } |
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| 144 | partialSumSigma.clear(); |
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| 145 | } |
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[961] | 146 | // fill new data |
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[819] | 147 | if (numOfCouples>0) { |
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| 148 | for (G4int i=0; i<numOfCouples; i++) { |
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| 149 | G4double cute = DBL_MAX; |
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[961] | 150 | |
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| 151 | // protection for usage with extrapolator |
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[819] | 152 | if(i < nc) cute = cuts[i]; |
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[961] | 153 | |
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[819] | 154 | const G4MaterialCutsCouple* couple = |
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| 155 | theCoupleTable->GetMaterialCutsCouple(i); |
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| 156 | const G4Material* material = couple->GetMaterial(); |
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| 157 | G4DataVector* dv = ComputePartialSumSigma(material,fixedEnergy,cute); |
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| 158 | partialSumSigma.push_back(dv); |
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| 159 | } |
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| 160 | } |
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| 161 | } |
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[961] | 162 | |
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| 163 | // define pointer to G4ParticleChange |
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| 164 | if(!fParticleChange) { |
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| 165 | if(pParticleChange) |
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| 166 | fParticleChange = |
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| 167 | reinterpret_cast<G4ParticleChangeForLoss*>(pParticleChange); |
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| 168 | else |
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| 169 | fParticleChange = new G4ParticleChangeForLoss(); |
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| 170 | } |
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[819] | 171 | } |
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| 172 | |
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| 173 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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| 174 | |
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| 175 | G4double G4MuBremsstrahlungModel::ComputeDEDXPerVolume( |
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| 176 | const G4Material* material, |
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| 177 | const G4ParticleDefinition*, |
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| 178 | G4double kineticEnergy, |
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| 179 | G4double cutEnergy) |
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| 180 | { |
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| 181 | G4double dedx = 0.0; |
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[961] | 182 | if (kineticEnergy <= lowestKinEnergy) return dedx; |
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[819] | 183 | |
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| 184 | G4double tmax = kineticEnergy; |
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[961] | 185 | G4double cut = std::min(cutEnergy,tmax); |
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| 186 | if(cut < minThreshold) cut = minThreshold; |
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[819] | 187 | |
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| 188 | const G4ElementVector* theElementVector = material->GetElementVector(); |
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| 189 | const G4double* theAtomicNumDensityVector = |
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[961] | 190 | material->GetAtomicNumDensityVector(); |
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[819] | 191 | |
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| 192 | // loop for elements in the material |
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| 193 | for (size_t i=0; i<material->GetNumberOfElements(); i++) { |
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| 194 | |
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[961] | 195 | G4double loss = |
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| 196 | ComputMuBremLoss((*theElementVector)[i]->GetZ(), kineticEnergy, cut); |
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[819] | 197 | |
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| 198 | dedx += loss*theAtomicNumDensityVector[i]; |
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| 199 | } |
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[961] | 200 | // G4cout << "BR e= " << kineticEnergy << " dedx= " << dedx << G4endl; |
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[819] | 201 | if(dedx < 0.) dedx = 0.; |
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| 202 | return dedx; |
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| 203 | } |
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| 204 | |
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| 205 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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| 206 | |
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[961] | 207 | G4double G4MuBremsstrahlungModel::ComputMuBremLoss(G4double Z, |
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[819] | 208 | G4double tkin, G4double cut) |
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| 209 | { |
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| 210 | G4double totalEnergy = mass + tkin; |
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| 211 | G4double ak1 = 0.05; |
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| 212 | G4int k2=5; |
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| 213 | G4double xgi[]={0.03377,0.16940,0.38069,0.61931,0.83060,0.96623}; |
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| 214 | G4double wgi[]={0.08566,0.18038,0.23396,0.23396,0.18038,0.08566}; |
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| 215 | G4double loss = 0.; |
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| 216 | |
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| 217 | G4double vcut = cut/totalEnergy; |
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| 218 | G4double vmax = tkin/totalEnergy; |
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| 219 | |
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| 220 | G4double aaa = 0.; |
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| 221 | G4double bbb = vcut; |
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| 222 | if(vcut>vmax) bbb=vmax ; |
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| 223 | G4int kkk = (G4int)((bbb-aaa)/ak1)+k2 ; |
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| 224 | G4double hhh=(bbb-aaa)/float(kkk) ; |
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| 225 | |
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| 226 | G4double aa = aaa; |
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| 227 | for(G4int l=0; l<kkk; l++) |
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| 228 | { |
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| 229 | for(G4int i=0; i<6; i++) |
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| 230 | { |
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| 231 | G4double ep = (aa + xgi[i]*hhh)*totalEnergy; |
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[961] | 232 | loss += ep*wgi[i]*ComputeDMicroscopicCrossSection(tkin, Z, ep); |
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[819] | 233 | } |
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| 234 | aa += hhh; |
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| 235 | } |
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| 236 | |
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| 237 | loss *=hhh*totalEnergy ; |
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| 238 | |
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| 239 | return loss; |
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| 240 | } |
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| 241 | |
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| 242 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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| 243 | |
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| 244 | G4double G4MuBremsstrahlungModel::ComputeMicroscopicCrossSection( |
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| 245 | G4double tkin, |
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| 246 | G4double Z, |
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| 247 | G4double cut) |
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| 248 | { |
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| 249 | G4double totalEnergy = tkin + mass; |
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| 250 | G4double ak1 = 2.3; |
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| 251 | G4int k2 = 4; |
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| 252 | G4double xgi[]={0.03377,0.16940,0.38069,0.61931,0.83060,0.96623}; |
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| 253 | G4double wgi[]={0.08566,0.18038,0.23396,0.23396,0.18038,0.08566}; |
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| 254 | G4double cross = 0.; |
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| 255 | |
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| 256 | if(cut >= tkin) return cross; |
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| 257 | |
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| 258 | G4double vcut = cut/totalEnergy; |
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| 259 | G4double vmax = tkin/totalEnergy; |
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| 260 | |
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| 261 | G4double aaa = log(vcut); |
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| 262 | G4double bbb = log(vmax); |
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| 263 | G4int kkk = (G4int)((bbb-aaa)/ak1)+k2 ; |
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[961] | 264 | G4double hhh = (bbb-aaa)/G4double(kkk); |
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[819] | 265 | |
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| 266 | G4double aa = aaa; |
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| 267 | |
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| 268 | for(G4int l=0; l<kkk; l++) |
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| 269 | { |
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| 270 | for(G4int i=0; i<6; i++) |
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| 271 | { |
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| 272 | G4double ep = exp(aa + xgi[i]*hhh)*totalEnergy; |
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[961] | 273 | cross += ep*wgi[i]*ComputeDMicroscopicCrossSection(tkin, Z, ep); |
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[819] | 274 | } |
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| 275 | aa += hhh; |
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| 276 | } |
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| 277 | |
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| 278 | cross *=hhh; |
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| 279 | |
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[961] | 280 | //G4cout << "BR e= " << tkin<< " cross= " << cross/barn << G4endl; |
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| 281 | |
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[819] | 282 | return cross; |
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| 283 | } |
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| 284 | |
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| 285 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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| 286 | |
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| 287 | G4double G4MuBremsstrahlungModel::ComputeDMicroscopicCrossSection( |
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| 288 | G4double tkin, |
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| 289 | G4double Z, |
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| 290 | G4double gammaEnergy) |
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| 291 | // differential cross section |
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| 292 | { |
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| 293 | G4double dxsection = 0.; |
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| 294 | |
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| 295 | if( gammaEnergy > tkin) return dxsection ; |
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| 296 | |
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| 297 | G4double E = tkin + mass ; |
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| 298 | G4double v = gammaEnergy/E ; |
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| 299 | G4double delta = 0.5*mass*mass*v/(E-gammaEnergy) ; |
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| 300 | G4double rab0=delta*sqrte ; |
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| 301 | |
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[961] | 302 | G4int iz = G4int(Z); |
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| 303 | if(iz < 1) iz = 1; |
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[819] | 304 | |
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[961] | 305 | G4double z13 = 1.0/nist->GetZ13(iz); |
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| 306 | G4double dn = 1.54*nist->GetA27(iz); |
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| 307 | |
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[819] | 308 | G4double b,b1,dnstar ; |
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| 309 | |
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[961] | 310 | if(1 == iz) |
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[819] | 311 | { |
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[961] | 312 | b = bh; |
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| 313 | b1 = bh1; |
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| 314 | dnstar = dn; |
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[819] | 315 | } |
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| 316 | else |
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| 317 | { |
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[961] | 318 | b = btf; |
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| 319 | b1 = btf1; |
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| 320 | dnstar = dn/std::pow(dn, 1./Z); |
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[819] | 321 | } |
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| 322 | |
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| 323 | // nucleus contribution logarithm |
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| 324 | G4double rab1=b*z13; |
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| 325 | G4double fn=log(rab1/(dnstar*(electron_mass_c2+rab0*rab1))* |
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| 326 | (mass+delta*(dnstar*sqrte-2.))) ; |
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| 327 | if(fn <0.) fn = 0. ; |
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| 328 | // electron contribution logarithm |
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| 329 | G4double epmax1=E/(1.+0.5*mass*rmass/E) ; |
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| 330 | G4double fe=0.; |
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| 331 | if(gammaEnergy<epmax1) |
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| 332 | { |
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| 333 | G4double rab2=b1*z13*z13 ; |
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| 334 | fe=log(rab2*mass/((1.+delta*rmass/(electron_mass_c2*sqrte))* |
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| 335 | (electron_mass_c2+rab0*rab2))) ; |
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| 336 | if(fe<0.) fe=0. ; |
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| 337 | } |
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| 338 | |
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| 339 | dxsection = coeff*(1.-v*(1. - 0.75*v))*Z*(fn*Z + fe)/gammaEnergy; |
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| 340 | |
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| 341 | return dxsection; |
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| 342 | } |
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| 343 | |
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| 344 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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| 345 | |
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| 346 | G4double G4MuBremsstrahlungModel::ComputeCrossSectionPerAtom( |
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| 347 | const G4ParticleDefinition*, |
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| 348 | G4double kineticEnergy, |
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[961] | 349 | G4double Z, G4double, |
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[819] | 350 | G4double cutEnergy, |
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[961] | 351 | G4double maxEnergy) |
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[819] | 352 | { |
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| 353 | G4double cross = 0.0; |
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[961] | 354 | if (kineticEnergy <= lowestKinEnergy) return cross; |
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| 355 | G4double tmax = std::min(maxEnergy, kineticEnergy); |
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| 356 | G4double cut = std::min(cutEnergy, kineticEnergy); |
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| 357 | if(cut < minThreshold) cut = minThreshold; |
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| 358 | if (cut >= tmax) return cross; |
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[819] | 359 | |
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[961] | 360 | cross = ComputeMicroscopicCrossSection (kineticEnergy, Z, cut); |
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| 361 | if(tmax < kineticEnergy) { |
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| 362 | cross -= ComputeMicroscopicCrossSection(kineticEnergy, Z, tmax); |
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[819] | 363 | } |
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| 364 | return cross; |
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| 365 | } |
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| 366 | |
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| 367 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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| 368 | |
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| 369 | G4DataVector* G4MuBremsstrahlungModel::ComputePartialSumSigma( |
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| 370 | const G4Material* material, |
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[961] | 371 | G4double kineticEnergy, |
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| 372 | G4double cut) |
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[819] | 373 | |
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[961] | 374 | // Build the table of cross section per element. |
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| 375 | // The table is built for material |
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| 376 | // This table is used to select randomly an element in the material. |
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[819] | 377 | { |
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| 378 | G4int nElements = material->GetNumberOfElements(); |
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| 379 | const G4ElementVector* theElementVector = material->GetElementVector(); |
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| 380 | const G4double* theAtomNumDensityVector = |
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[961] | 381 | material->GetAtomicNumDensityVector(); |
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[819] | 382 | |
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| 383 | G4DataVector* dv = new G4DataVector(); |
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| 384 | |
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| 385 | G4double cross = 0.0; |
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| 386 | |
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| 387 | for (G4int i=0; i<nElements; i++ ) { |
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| 388 | cross += theAtomNumDensityVector[i] |
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[961] | 389 | * ComputeMicroscopicCrossSection(kineticEnergy, |
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| 390 | (*theElementVector)[i]->GetZ(), cut); |
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[819] | 391 | dv->push_back(cross); |
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| 392 | } |
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| 393 | return dv; |
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| 394 | } |
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| 395 | |
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| 396 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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| 397 | |
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[961] | 398 | void G4MuBremsstrahlungModel::SampleSecondaries( |
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| 399 | std::vector<G4DynamicParticle*>* vdp, |
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| 400 | const G4MaterialCutsCouple* couple, |
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| 401 | const G4DynamicParticle* dp, |
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| 402 | G4double minEnergy, |
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| 403 | G4double maxEnergy) |
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[819] | 404 | { |
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| 405 | G4double kineticEnergy = dp->GetKineticEnergy(); |
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| 406 | // check against insufficient energy |
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[961] | 407 | G4double tmax = std::min(kineticEnergy, maxEnergy); |
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| 408 | G4double tmin = std::min(kineticEnergy, minEnergy); |
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| 409 | if(tmin < minThreshold) tmin = minThreshold; |
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[819] | 410 | if(tmin >= tmax) return; |
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| 411 | |
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| 412 | // ===== sampling of energy transfer ====== |
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| 413 | |
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| 414 | G4ParticleMomentum partDirection = dp->GetMomentumDirection(); |
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| 415 | |
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| 416 | // select randomly one element constituing the material |
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| 417 | const G4Element* anElement = SelectRandomAtom(couple); |
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[961] | 418 | G4double Z = anElement->GetZ(); |
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[819] | 419 | |
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| 420 | G4double totalEnergy = kineticEnergy + mass; |
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| 421 | G4double totalMomentum = sqrt(kineticEnergy*(kineticEnergy + 2.0*mass)); |
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| 422 | |
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[961] | 423 | G4double func1 = tmin* |
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| 424 | ComputeDMicroscopicCrossSection(kineticEnergy,Z,tmin); |
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[819] | 425 | |
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| 426 | G4double lnepksi, epksi; |
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| 427 | G4double func2; |
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| 428 | |
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| 429 | do { |
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| 430 | lnepksi = log(tmin) + G4UniformRand()*log(kineticEnergy/tmin); |
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| 431 | epksi = exp(lnepksi); |
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[961] | 432 | func2 = epksi*ComputeDMicroscopicCrossSection(kineticEnergy,Z,epksi); |
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[819] | 433 | |
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[961] | 434 | } while(func2 < func1*G4UniformRand()); |
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[819] | 435 | |
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| 436 | G4double gEnergy = epksi; |
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| 437 | |
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[961] | 438 | // ===== sample angle ===== |
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| 439 | |
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[819] | 440 | G4double gam = totalEnergy/mass; |
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[961] | 441 | G4double rmax = gam*std::min(1.0, totalEnergy/gEnergy - 1.0); |
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| 442 | G4double rmax2= rmax*rmax; |
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| 443 | G4double x = G4UniformRand()*rmax2/(1.0 + rmax2); |
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[819] | 444 | |
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| 445 | G4double theta = sqrt(x/(1.0 - x))/gam; |
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| 446 | G4double sint = sin(theta); |
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| 447 | G4double phi = twopi * G4UniformRand() ; |
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| 448 | G4double dirx = sint*cos(phi), diry = sint*sin(phi), dirz = cos(theta) ; |
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| 449 | |
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| 450 | G4ThreeVector gDirection(dirx, diry, dirz); |
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| 451 | gDirection.rotateUz(partDirection); |
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| 452 | |
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| 453 | partDirection *= totalMomentum; |
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| 454 | partDirection -= gEnergy*gDirection; |
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| 455 | partDirection = partDirection.unit(); |
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| 456 | |
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| 457 | // primary change |
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| 458 | kineticEnergy -= gEnergy; |
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| 459 | fParticleChange->SetProposedKineticEnergy(kineticEnergy); |
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| 460 | fParticleChange->SetProposedMomentumDirection(partDirection); |
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| 461 | |
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| 462 | // save secondary |
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[961] | 463 | G4DynamicParticle* aGamma = |
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| 464 | new G4DynamicParticle(theGamma,gDirection,gEnergy); |
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[819] | 465 | vdp->push_back(aGamma); |
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| 466 | } |
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| 467 | |
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| 468 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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| 469 | |
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| 470 | const G4Element* G4MuBremsstrahlungModel::SelectRandomAtom( |
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| 471 | const G4MaterialCutsCouple* couple) const |
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| 472 | { |
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| 473 | // select randomly 1 element within the material |
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| 474 | |
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| 475 | const G4Material* material = couple->GetMaterial(); |
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| 476 | G4int nElements = material->GetNumberOfElements(); |
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| 477 | const G4ElementVector* theElementVector = material->GetElementVector(); |
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| 478 | if(1 == nElements) return (*theElementVector)[0]; |
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| 479 | else if(1 > nElements) return 0; |
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| 480 | |
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| 481 | G4DataVector* dv = partialSumSigma[couple->GetIndex()]; |
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| 482 | G4double rval = G4UniformRand()*((*dv)[nElements-1]); |
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| 483 | for (G4int i=0; i<nElements; i++) { |
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| 484 | if (rval <= (*dv)[i]) return (*theElementVector)[i]; |
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| 485 | } |
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| 486 | return (*theElementVector)[nElements-1]; |
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| 487 | } |
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| 488 | |
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| 489 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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