| 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: G4MuPairProductionModel.cc,v 1.44 2009/08/11 16:50:07 vnivanch Exp $
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| 27 | // GEANT4 tag $Name: geant4-09-03-cand-01 $
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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: G4MuPairProductionModel
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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 PostStep (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 model (V.Ivanchenko)
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| 47 | // 06-06-03 Fix in cross section calculation for high energy (V.Ivanchenko)
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| 48 | // 20-10-03 2*xi in ComputeDDMicroscopicCrossSection (R.Kokoulin)
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| 49 | // 8 integration points in ComputeDMicroscopicCrossSection
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| 50 | // 12-01-04 Take min cut of e- and e+ not its sum (V.Ivanchenko)
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| 51 | // 10-02-04 Update parameterisation using R.Kokoulin model (V.Ivanchenko)
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| 52 | // 28-04-04 For complex materials repeat calculation of max energy for each
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| 53 | // material (V.Ivanchenko)
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| 54 | // 01-11-04 Fix bug inside ComputeDMicroscopicCrossSection (R.Kokoulin)
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| 55 | // 08-04-05 Major optimisation of internal interfaces (V.Ivantchenko)
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| 56 | // 03-08-05 Add SetParticle method (V.Ivantchenko)
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| 57 | // 23-10-05 Add protection in sampling of e+e- pair energy needed for
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| 58 | // low cuts (V.Ivantchenko)
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| 59 | // 13-02-06 Add ComputeCrossSectionPerAtom (mma)
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| 60 | // 24-04-07 Add protection in SelectRandomAtom method (V.Ivantchenko)
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| 61 | // 12-05-06 Updated sampling (use cut) in SelectRandomAtom (A.Bogdanov)
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| 62 | // 11-10-07 Add ignoreCut flag (V.Ivanchenko)
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| 63 |
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| 64 | //
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| 65 | // Class Description:
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| 66 | //
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| 67 | //
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| 68 | // -------------------------------------------------------------------
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| 69 | //
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| 70 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 71 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 72 |
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| 73 | #include "G4MuPairProductionModel.hh"
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| 74 | #include "G4Electron.hh"
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| 75 | #include "G4Positron.hh"
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| 76 | #include "G4MuonMinus.hh"
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| 77 | #include "G4MuonPlus.hh"
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| 78 | #include "Randomize.hh"
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| 79 | #include "G4Material.hh"
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| 80 | #include "G4Element.hh"
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| 81 | #include "G4ElementVector.hh"
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| 82 | #include "G4ProductionCutsTable.hh"
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| 83 | #include "G4ParticleChangeForLoss.hh"
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| 84 | #include "G4ParticleChangeForGamma.hh"
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| 85 |
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| 86 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 87 |
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| 88 | // static members
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| 89 | //
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| 90 | G4double G4MuPairProductionModel::zdat[]={1., 4., 13., 29., 92.};
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| 91 | G4double G4MuPairProductionModel::adat[]={1.01, 9.01, 26.98, 63.55, 238.03};
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| 92 | G4double G4MuPairProductionModel::tdat[]={1.e3, 1.e4, 1.e5, 1.e6, 1.e7, 1.e8,
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| 93 | 1.e9, 1.e10};
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| 94 | G4double G4MuPairProductionModel::xgi[]={ 0.0199, 0.1017, 0.2372, 0.4083,
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| 95 | 0.5917, 0.7628, 0.8983, 0.9801 };
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| 96 | G4double G4MuPairProductionModel::wgi[]={ 0.0506, 0.1112, 0.1569, 0.1813,
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| 97 | 0.1813, 0.1569, 0.1112, 0.0506 };
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| 98 |
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| 99 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 100 |
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| 101 | using namespace std;
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| 102 |
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| 103 | G4MuPairProductionModel::G4MuPairProductionModel(const G4ParticleDefinition* p,
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| 104 | const G4String& nam)
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| 105 | : G4VEmModel(nam),
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| 106 | particle(0),
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| 107 | factorForCross(4.*fine_structure_const*fine_structure_const
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| 108 | *classic_electr_radius*classic_electr_radius/(3.*pi)),
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| 109 | sqrte(sqrt(exp(1.))),
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| 110 | currentZ(0),
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| 111 | fParticleChange(0),
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| 112 | minPairEnergy(4.*electron_mass_c2),
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| 113 | lowestKinEnergy(1.*GeV),
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| 114 | nzdat(5),
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| 115 | ntdat(8),
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| 116 | nbiny(1000),
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| 117 | nmaxElements(0),
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| 118 | ymin(-5.),
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| 119 | ymax(0.),
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| 120 | dy((ymax-ymin)/nbiny),
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| 121 | samplingTablesAreFilled(false)
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| 122 | {
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| 123 | SetLowEnergyLimit(minPairEnergy);
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| 124 | nist = G4NistManager::Instance();
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| 125 |
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| 126 | theElectron = G4Electron::Electron();
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| 127 | thePositron = G4Positron::Positron();
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| 128 |
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| 129 | if(p) SetParticle(p);
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| 130 | }
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| 131 |
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| 132 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 133 |
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| 134 | G4MuPairProductionModel::~G4MuPairProductionModel()
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| 135 | {}
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| 136 |
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| 137 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 138 |
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| 139 | G4double G4MuPairProductionModel::MinEnergyCut(const G4ParticleDefinition*,
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| 140 | const G4MaterialCutsCouple* )
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| 141 | {
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| 142 | return minPairEnergy;
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| 143 | }
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| 144 |
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| 145 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 146 |
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| 147 | G4double G4MuPairProductionModel::MaxSecondaryEnergy(const G4ParticleDefinition*,
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| 148 | G4double kineticEnergy)
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| 149 | {
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| 150 | G4double maxPairEnergy = kineticEnergy + particleMass*(1.0 - 0.75*sqrte*z13);
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| 151 | return maxPairEnergy;
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| 152 | }
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| 153 |
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| 154 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 155 |
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| 156 | void G4MuPairProductionModel::Initialise(const G4ParticleDefinition* p,
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| 157 | const G4DataVector&)
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| 158 | {
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| 159 | if (!samplingTablesAreFilled) {
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| 160 | if(p) SetParticle(p);
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| 161 | MakeSamplingTables();
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| 162 | }
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| 163 | if(!fParticleChange) fParticleChange = GetParticleChangeForLoss();
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| 164 | }
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| 165 |
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| 166 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 167 |
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| 168 | G4double G4MuPairProductionModel::ComputeDEDXPerVolume(
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| 169 | const G4Material* material,
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| 170 | const G4ParticleDefinition*,
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| 171 | G4double kineticEnergy,
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| 172 | G4double cutEnergy)
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| 173 | {
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| 174 | G4double dedx = 0.0;
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| 175 | if (cutEnergy <= minPairEnergy || kineticEnergy <= lowestKinEnergy)
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| 176 | return dedx;
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| 177 |
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| 178 | const G4ElementVector* theElementVector = material->GetElementVector();
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| 179 | const G4double* theAtomicNumDensityVector =
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| 180 | material->GetAtomicNumDensityVector();
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| 181 |
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| 182 | // loop for elements in the material
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| 183 | for (size_t i=0; i<material->GetNumberOfElements(); i++) {
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| 184 | G4double Z = (*theElementVector)[i]->GetZ();
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| 185 | SetCurrentElement(Z);
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| 186 | G4double tmax = MaxSecondaryEnergy(particle, kineticEnergy);
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| 187 | G4double loss = ComputMuPairLoss(Z, kineticEnergy, cutEnergy, tmax);
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| 188 | dedx += loss*theAtomicNumDensityVector[i];
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| 189 | }
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| 190 | if (dedx < 0.) dedx = 0.;
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| 191 | return dedx;
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| 192 | }
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| 193 |
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| 194 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 195 |
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| 196 | G4double G4MuPairProductionModel::ComputMuPairLoss(G4double Z,
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| 197 | G4double tkin,
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| 198 | G4double cutEnergy,
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| 199 | G4double tmax)
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| 200 | {
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| 201 | SetCurrentElement(Z);
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| 202 | G4double loss = 0.0;
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| 203 |
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| 204 | G4double cut = std::min(cutEnergy,tmax);
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| 205 | if(cut <= minPairEnergy) return loss;
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| 206 |
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| 207 | // calculate the rectricted loss
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| 208 | // numerical integration in log(PairEnergy)
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| 209 | G4double ak1=6.9;
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| 210 | G4double ak2=1.0;
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| 211 | G4double aaa = log(minPairEnergy);
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| 212 | G4double bbb = log(cut);
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| 213 | G4int kkk = (G4int)((bbb-aaa)/ak1+ak2);
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| 214 | if (kkk > 8) kkk = 8;
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| 215 | G4double hhh = (bbb-aaa)/(G4double)kkk;
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| 216 | G4double x = aaa;
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| 217 |
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| 218 | for (G4int l=0 ; l<kkk; l++)
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| 219 | {
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| 220 |
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| 221 | for (G4int ll=0; ll<8; ll++)
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| 222 | {
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| 223 | G4double ep = exp(x+xgi[ll]*hhh);
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| 224 | loss += wgi[ll]*ep*ep*ComputeDMicroscopicCrossSection(tkin, Z, ep);
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| 225 | }
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| 226 | x += hhh;
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| 227 | }
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| 228 | loss *= hhh;
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| 229 | if (loss < 0.) loss = 0.;
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| 230 | return loss;
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| 231 | }
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| 232 |
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| 233 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 234 |
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| 235 | G4double G4MuPairProductionModel::ComputeMicroscopicCrossSection(
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| 236 | G4double tkin,
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| 237 | G4double Z,
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| 238 | G4double cut)
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| 239 | {
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| 240 | G4double cross = 0.;
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| 241 | SetCurrentElement(Z);
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| 242 | G4double tmax = MaxSecondaryEnergy(particle, tkin);
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| 243 | if (tmax <= cut) return cross;
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| 244 |
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| 245 | G4double ak1=6.9 ;
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| 246 | G4double ak2=1.0 ;
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| 247 | G4double aaa = log(cut);
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| 248 | G4double bbb = log(tmax);
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| 249 | G4int kkk = (G4int)((bbb-aaa)/ak1 + ak2);
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| 250 | if(kkk > 8) kkk = 8;
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| 251 | G4double hhh = (bbb-aaa)/float(kkk);
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| 252 | G4double x = aaa;
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| 253 |
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| 254 | for(G4int l=0; l<kkk; l++)
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| 255 | {
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| 256 | for(G4int i=0; i<8; i++)
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| 257 | {
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| 258 | G4double ep = exp(x + xgi[i]*hhh);
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| 259 | cross += ep*wgi[i]*ComputeDMicroscopicCrossSection(tkin, Z, ep);
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| 260 | }
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| 261 | x += hhh;
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| 262 | }
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| 263 |
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| 264 | cross *=hhh;
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| 265 | if(cross < 0.0) cross = 0.0;
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| 266 | return cross;
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| 267 | }
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| 268 |
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| 269 | G4double G4MuPairProductionModel::ComputeDMicroscopicCrossSection(
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| 270 | G4double tkin,
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| 271 | G4double Z,
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| 272 | G4double pairEnergy)
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| 273 | // Calculates the differential (D) microscopic cross section
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| 274 | // using the cross section formula of R.P. Kokoulin (18/01/98)
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| 275 | // Code modified by R.P. Kokoulin, V.N. Ivanchenko (27/01/04)
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| 276 | {
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| 277 | G4double bbbtf= 183. ;
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| 278 | G4double bbbh = 202.4 ;
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| 279 | G4double g1tf = 1.95e-5 ;
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| 280 | G4double g2tf = 5.3e-5 ;
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| 281 | G4double g1h = 4.4e-5 ;
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| 282 | G4double g2h = 4.8e-5 ;
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| 283 |
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| 284 | G4double totalEnergy = tkin + particleMass;
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| 285 | G4double residEnergy = totalEnergy - pairEnergy;
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| 286 | G4double massratio = particleMass/electron_mass_c2 ;
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| 287 | G4double massratio2 = massratio*massratio ;
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| 288 | G4double cross = 0.;
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| 289 |
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| 290 | SetCurrentElement(Z);
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| 291 |
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| 292 | G4double c3 = 0.75*sqrte*particleMass;
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| 293 | if (residEnergy <= c3*z13) return cross;
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| 294 |
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| 295 | G4double c7 = 4.*electron_mass_c2;
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| 296 | G4double c8 = 6.*particleMass*particleMass;
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| 297 | G4double alf = c7/pairEnergy;
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| 298 | G4double a3 = 1. - alf;
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| 299 | if (a3 <= 0.) return cross;
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| 300 |
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| 301 | // zeta calculation
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| 302 | G4double bbb,g1,g2;
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| 303 | if( Z < 1.5 ) { bbb = bbbh ; g1 = g1h ; g2 = g2h ; }
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| 304 | else { bbb = bbbtf; g1 = g1tf; g2 = g2tf; }
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| 305 |
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| 306 | G4double zeta = 0;
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| 307 | G4double zeta1 = 0.073*log(totalEnergy/(particleMass+g1*z23*totalEnergy))-0.26;
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| 308 | if ( zeta1 > 0.)
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| 309 | {
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| 310 | G4double zeta2 = 0.058*log(totalEnergy/(particleMass+g2*z13*totalEnergy))-0.14;
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| 311 | zeta = zeta1/zeta2 ;
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| 312 | }
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| 313 |
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| 314 | G4double z2 = Z*(Z+zeta);
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| 315 | G4double screen0 = 2.*electron_mass_c2*sqrte*bbb/(z13*pairEnergy);
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| 316 | G4double a0 = totalEnergy*residEnergy;
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| 317 | G4double a1 = pairEnergy*pairEnergy/a0;
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| 318 | G4double bet = 0.5*a1;
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| 319 | G4double xi0 = 0.25*massratio2*a1;
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| 320 | G4double del = c8/a0;
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| 321 |
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| 322 | G4double rta3 = sqrt(a3);
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| 323 | G4double tmnexp = alf/(1. + rta3) + del*rta3;
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| 324 | if(tmnexp >= 1.0) return cross;
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| 325 |
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| 326 | G4double tmn = log(tmnexp);
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| 327 | G4double sum = 0.;
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| 328 |
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| 329 | // Gaussian integration in ln(1-ro) ( with 8 points)
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| 330 | for (G4int i=0; i<8; i++)
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| 331 | {
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| 332 | G4double a4 = exp(tmn*xgi[i]); // a4 = (1.-asymmetry)
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| 333 | G4double a5 = a4*(2.-a4) ;
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| 334 | G4double a6 = 1.-a5 ;
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| 335 | G4double a7 = 1.+a6 ;
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| 336 | G4double a9 = 3.+a6 ;
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| 337 | G4double xi = xi0*a5 ;
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| 338 | G4double xii = 1./xi ;
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| 339 | G4double xi1 = 1.+xi ;
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| 340 | G4double screen = screen0*xi1/a5 ;
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| 341 | G4double yeu = 5.-a6+4.*bet*a7 ;
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| 342 | G4double yed = 2.*(1.+3.*bet)*log(3.+xii)-a6-a1*(2.-a6) ;
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| 343 | G4double ye1 = 1.+yeu/yed ;
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| 344 | G4double ale=log(bbb/z13*sqrt(xi1*ye1)/(1.+screen*ye1)) ;
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| 345 | G4double cre = 0.5*log(1.+2.25*z23*xi1*ye1/massratio2) ;
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| 346 | G4double be;
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| 347 |
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| 348 | if (xi <= 1.e3) be = ((2.+a6)*(1.+bet)+xi*a9)*log(1.+xii)+(a5-bet)/xi1-a9;
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| 349 | else be = (3.-a6+a1*a7)/(2.*xi);
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| 350 |
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| 351 | G4double fe = (ale-cre)*be;
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| 352 | if ( fe < 0.) fe = 0. ;
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| 353 |
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| 354 | G4double ymu = 4.+a6 +3.*bet*a7 ;
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| 355 | G4double ymd = a7*(1.5+a1)*log(3.+xi)+1.-1.5*a6 ;
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| 356 | G4double ym1 = 1.+ymu/ymd ;
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| 357 | G4double alm_crm = log(bbb*massratio/(1.5*z23*(1.+screen*ym1)));
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| 358 | G4double a10,bm;
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| 359 | if ( xi >= 1.e-3)
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| 360 | {
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| 361 | a10 = (1.+a1)*a5 ;
|
|---|
| 362 | bm = (a7*(1.+1.5*bet)-a10*xii)*log(xi1)+xi*(a5-bet)/xi1+a10;
|
|---|
| 363 | } else {
|
|---|
| 364 | bm = (5.-a6+bet*a9)*(xi/2.);
|
|---|
| 365 | }
|
|---|
| 366 |
|
|---|
| 367 | G4double fm = alm_crm*bm;
|
|---|
| 368 | if ( fm < 0.) fm = 0. ;
|
|---|
| 369 |
|
|---|
| 370 | sum += wgi[i]*a4*(fe+fm/massratio2);
|
|---|
| 371 | }
|
|---|
| 372 |
|
|---|
| 373 | cross = -tmn*sum*factorForCross*z2*residEnergy/(totalEnergy*pairEnergy);
|
|---|
| 374 |
|
|---|
| 375 | return cross;
|
|---|
| 376 | }
|
|---|
| 377 |
|
|---|
| 378 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
|
|---|
| 379 |
|
|---|
| 380 | G4double G4MuPairProductionModel::ComputeCrossSectionPerAtom(
|
|---|
| 381 | const G4ParticleDefinition*,
|
|---|
| 382 | G4double kineticEnergy,
|
|---|
| 383 | G4double Z, G4double,
|
|---|
| 384 | G4double cutEnergy,
|
|---|
| 385 | G4double maxEnergy)
|
|---|
| 386 | {
|
|---|
| 387 | G4double cross = 0.0;
|
|---|
| 388 | if (kineticEnergy <= lowestKinEnergy) return cross;
|
|---|
| 389 |
|
|---|
| 390 | SetCurrentElement(Z);
|
|---|
| 391 |
|
|---|
| 392 | G4double maxPairEnergy = MaxSecondaryEnergy(particle,kineticEnergy);
|
|---|
| 393 | G4double tmax = std::min(maxEnergy, maxPairEnergy);
|
|---|
| 394 | G4double cut = std::max(cutEnergy, minPairEnergy);
|
|---|
| 395 | if (cut >= tmax) return cross;
|
|---|
| 396 |
|
|---|
| 397 | cross = ComputeMicroscopicCrossSection (kineticEnergy, Z, cut);
|
|---|
| 398 | if(tmax < kineticEnergy) {
|
|---|
| 399 | cross -= ComputeMicroscopicCrossSection(kineticEnergy, Z, tmax);
|
|---|
| 400 | }
|
|---|
| 401 | return cross;
|
|---|
| 402 | }
|
|---|
| 403 |
|
|---|
| 404 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
|
|---|
| 405 |
|
|---|
| 406 | void G4MuPairProductionModel::MakeSamplingTables()
|
|---|
| 407 | {
|
|---|
| 408 | for (G4int iz=0; iz<nzdat; iz++)
|
|---|
| 409 | {
|
|---|
| 410 | G4double Z = zdat[iz];
|
|---|
| 411 | SetCurrentElement(Z);
|
|---|
| 412 |
|
|---|
| 413 | for (G4int it=0; it<ntdat; it++) {
|
|---|
| 414 |
|
|---|
| 415 | G4double kineticEnergy = tdat[it];
|
|---|
| 416 | G4double maxPairEnergy = MaxSecondaryEnergy(particle,kineticEnergy);
|
|---|
| 417 | // G4cout << "Z= " << currentZ << " z13= " << z13
|
|---|
| 418 | //<< " mE= " << maxPairEnergy << G4endl;
|
|---|
| 419 | G4double CrossSection = 0.0 ;
|
|---|
| 420 |
|
|---|
| 421 | if(maxPairEnergy > minPairEnergy) {
|
|---|
| 422 |
|
|---|
| 423 | G4double y = ymin - 0.5*dy ;
|
|---|
| 424 | G4double yy = ymin - dy ;
|
|---|
| 425 | G4double x = exp(y);
|
|---|
| 426 | G4double fac = exp(dy);
|
|---|
| 427 | G4double dx = exp(yy)*(fac - 1.0);
|
|---|
| 428 |
|
|---|
| 429 | G4double c = log(maxPairEnergy/minPairEnergy);
|
|---|
| 430 |
|
|---|
| 431 | for (G4int i=0 ; i<nbiny; i++) {
|
|---|
| 432 | y += dy ;
|
|---|
| 433 | if(c > 0.0) {
|
|---|
| 434 | x *= fac;
|
|---|
| 435 | dx*= fac;
|
|---|
| 436 | G4double ep = minPairEnergy*exp(c*x) ;
|
|---|
| 437 | CrossSection +=
|
|---|
| 438 | ep*dx*ComputeDMicroscopicCrossSection(kineticEnergy, Z, ep);
|
|---|
| 439 | }
|
|---|
| 440 | ya[i] = y;
|
|---|
| 441 | proba[iz][it][i] = CrossSection;
|
|---|
| 442 | }
|
|---|
| 443 |
|
|---|
| 444 | } else {
|
|---|
| 445 | for (G4int i=0 ; i<nbiny; i++) {
|
|---|
| 446 | proba[iz][it][i] = CrossSection;
|
|---|
| 447 | }
|
|---|
| 448 | }
|
|---|
| 449 |
|
|---|
| 450 | ya[nbiny]=ymax;
|
|---|
| 451 | proba[iz][it][nbiny] = CrossSection;
|
|---|
| 452 |
|
|---|
| 453 | }
|
|---|
| 454 | }
|
|---|
| 455 | samplingTablesAreFilled = true;
|
|---|
| 456 | }
|
|---|
| 457 |
|
|---|
| 458 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
|
|---|
| 459 |
|
|---|
| 460 | void
|
|---|
| 461 | G4MuPairProductionModel::SampleSecondaries(std::vector<G4DynamicParticle*>* vdp,
|
|---|
| 462 | const G4MaterialCutsCouple* couple,
|
|---|
| 463 | const G4DynamicParticle* aDynamicParticle,
|
|---|
| 464 | G4double tmin,
|
|---|
| 465 | G4double tmax)
|
|---|
| 466 | {
|
|---|
| 467 | G4double kineticEnergy = aDynamicParticle->GetKineticEnergy();
|
|---|
| 468 | G4double totalEnergy = kineticEnergy + particleMass ;
|
|---|
| 469 | G4ParticleMomentum ParticleDirection =
|
|---|
| 470 | aDynamicParticle->GetMomentumDirection();
|
|---|
| 471 |
|
|---|
| 472 | G4int it;
|
|---|
| 473 | for(it=1; it<ntdat; it++) {if(kineticEnergy <= tdat[it]) break;}
|
|---|
| 474 | if(it == ntdat) it--;
|
|---|
| 475 | G4double dt = log(kineticEnergy/tdat[it-1])/log(tdat[it]/tdat[it-1]);
|
|---|
| 476 |
|
|---|
| 477 | // select randomly one element constituing the material
|
|---|
| 478 | const G4Element* anElement = SelectRandomAtom(kineticEnergy, dt, it, couple, tmin);
|
|---|
| 479 | SetCurrentElement(anElement->GetZ());
|
|---|
| 480 |
|
|---|
| 481 | // define interval of enegry transfer
|
|---|
| 482 | G4double maxPairEnergy = MaxSecondaryEnergy(particle,kineticEnergy);
|
|---|
| 483 | G4double maxEnergy = std::min(tmax, maxPairEnergy);
|
|---|
| 484 | G4double minEnergy = std::max(tmin, minPairEnergy);
|
|---|
| 485 |
|
|---|
| 486 | if(minEnergy >= maxEnergy) return;
|
|---|
| 487 | //G4cout << "emin= " << minEnergy << " emax= " << maxEnergy
|
|---|
| 488 | // << " minPair= " << minPairEnergy << " maxpair= " << maxPairEnergy
|
|---|
| 489 | // << " ymin= " << ymin << " dy= " << dy << G4endl;
|
|---|
| 490 |
|
|---|
| 491 | // select bins
|
|---|
| 492 | G4int iymin = 0;
|
|---|
| 493 | G4int iymax = nbiny-1;
|
|---|
| 494 | if( minEnergy > minPairEnergy)
|
|---|
| 495 | {
|
|---|
| 496 | G4double xc = log(minEnergy/minPairEnergy)/log(maxPairEnergy/minPairEnergy);
|
|---|
| 497 | iymin = (G4int)((log(xc) - ymin)/dy);
|
|---|
| 498 | if(iymin >= nbiny) iymin = nbiny-1;
|
|---|
| 499 | else if(iymin < 0) iymin = 0;
|
|---|
| 500 | xc = log(maxEnergy/minPairEnergy)/log(maxPairEnergy/minPairEnergy);
|
|---|
| 501 | iymax = (G4int)((log(xc) - ymin)/dy) + 1;
|
|---|
| 502 | if(iymax >= nbiny) iymax = nbiny-1;
|
|---|
| 503 | else if(iymax < 0) iymax = 0;
|
|---|
| 504 | }
|
|---|
| 505 |
|
|---|
| 506 | // sample e-e+ energy, pair energy first
|
|---|
| 507 | G4int iz, iy;
|
|---|
| 508 |
|
|---|
| 509 | for(iz=1; iz<nzdat; iz++) {if(currentZ <= zdat[iz]) break;}
|
|---|
| 510 | if(iz == nzdat) iz--;
|
|---|
| 511 |
|
|---|
| 512 | G4double dz = log(currentZ/zdat[iz-1])/log(zdat[iz]/zdat[iz-1]);
|
|---|
| 513 |
|
|---|
| 514 | G4double pmin = InterpolatedIntegralCrossSection(dt,dz,iz,it,iymin,currentZ);
|
|---|
| 515 | G4double pmax = InterpolatedIntegralCrossSection(dt,dz,iz,it,iymax,currentZ);
|
|---|
| 516 |
|
|---|
| 517 | G4double p = pmin+G4UniformRand()*(pmax - pmin);
|
|---|
| 518 |
|
|---|
| 519 | // interpolate sampling vector;
|
|---|
| 520 | G4double p1 = pmin;
|
|---|
| 521 | G4double p2 = pmin;
|
|---|
| 522 | for(iy=iymin+1; iy<=iymax; iy++) {
|
|---|
| 523 | p1 = p2;
|
|---|
| 524 | p2 = InterpolatedIntegralCrossSection(dt, dz, iz, it, iy, currentZ);
|
|---|
| 525 | if(p <= p2) break;
|
|---|
| 526 | }
|
|---|
| 527 | // G4cout << "iy= " << iy << " iymin= " << iymin << " iymax= "
|
|---|
| 528 | // << iymax << " Z= " << currentZ << G4endl;
|
|---|
| 529 | G4double y = ya[iy-1] + dy*(p - p1)/(p2 - p1);
|
|---|
| 530 |
|
|---|
| 531 | G4double PairEnergy = minPairEnergy*exp(exp(y)
|
|---|
| 532 | *log(maxPairEnergy/minPairEnergy));
|
|---|
| 533 |
|
|---|
| 534 | if(PairEnergy < minEnergy) PairEnergy = minEnergy;
|
|---|
| 535 | if(PairEnergy > maxEnergy) PairEnergy = maxEnergy;
|
|---|
| 536 |
|
|---|
| 537 | // sample r=(E+-E-)/PairEnergy ( uniformly .....)
|
|---|
| 538 | G4double rmax =
|
|---|
| 539 | (1.-6.*particleMass*particleMass/(totalEnergy*(totalEnergy-PairEnergy)))
|
|---|
| 540 | *sqrt(1.-minPairEnergy/PairEnergy);
|
|---|
| 541 | G4double r = rmax * (-1.+2.*G4UniformRand()) ;
|
|---|
| 542 |
|
|---|
| 543 | // compute energies from PairEnergy,r
|
|---|
| 544 | G4double ElectronEnergy = (1.-r)*PairEnergy*0.5;
|
|---|
| 545 | G4double PositronEnergy = PairEnergy - ElectronEnergy;
|
|---|
| 546 |
|
|---|
| 547 | // angles of the emitted particles ( Z - axis along the parent particle)
|
|---|
| 548 | // (mean theta for the moment)
|
|---|
| 549 |
|
|---|
| 550 | //
|
|---|
| 551 | // scattered electron (positron) angles. ( Z - axis along the parent photon)
|
|---|
| 552 | //
|
|---|
| 553 | // universal distribution suggested by L. Urban
|
|---|
| 554 | // (Geant3 manual (1993) Phys211),
|
|---|
| 555 | // derived from Tsai distribution (Rev Mod Phys 49,421(1977))
|
|---|
| 556 | // G4cout << "Ee= " << ElectronEnergy << " Ep= " << PositronEnergy << G4endl;
|
|---|
| 557 | G4double u;
|
|---|
| 558 | const G4double a1 = 0.625 , a2 = 3.*a1 , d = 27. ;
|
|---|
| 559 |
|
|---|
| 560 | if (9./(9.+d) >G4UniformRand()) u= - log(G4UniformRand()*G4UniformRand())/a1;
|
|---|
| 561 | else u= - log(G4UniformRand()*G4UniformRand())/a2;
|
|---|
| 562 |
|
|---|
| 563 | G4double TetEl = u*electron_mass_c2/ElectronEnergy;
|
|---|
| 564 | G4double TetPo = u*electron_mass_c2/PositronEnergy;
|
|---|
| 565 | G4double Phi = twopi * G4UniformRand();
|
|---|
| 566 | G4double dxEl= sin(TetEl)*cos(Phi),dyEl= sin(TetEl)*sin(Phi),dzEl=cos(TetEl);
|
|---|
| 567 | G4double dxPo=-sin(TetPo)*cos(Phi),dyPo=-sin(TetPo)*sin(Phi),dzPo=cos(TetPo);
|
|---|
| 568 |
|
|---|
| 569 | G4ThreeVector ElectDirection (dxEl, dyEl, dzEl);
|
|---|
| 570 | ElectDirection.rotateUz(ParticleDirection);
|
|---|
| 571 |
|
|---|
| 572 | // create G4DynamicParticle object for the particle1
|
|---|
| 573 | G4DynamicParticle* aParticle1= new G4DynamicParticle(theElectron,
|
|---|
| 574 | ElectDirection,
|
|---|
| 575 | ElectronEnergy - electron_mass_c2);
|
|---|
| 576 |
|
|---|
| 577 | G4ThreeVector PositDirection (dxPo, dyPo, dzPo);
|
|---|
| 578 | PositDirection.rotateUz(ParticleDirection);
|
|---|
| 579 |
|
|---|
| 580 | // create G4DynamicParticle object for the particle2
|
|---|
| 581 | G4DynamicParticle* aParticle2 =
|
|---|
| 582 | new G4DynamicParticle(thePositron,
|
|---|
| 583 | PositDirection,
|
|---|
| 584 | PositronEnergy - electron_mass_c2);
|
|---|
| 585 |
|
|---|
| 586 | // primary change
|
|---|
| 587 | kineticEnergy -= (ElectronEnergy + PositronEnergy);
|
|---|
| 588 | fParticleChange->SetProposedKineticEnergy(kineticEnergy);
|
|---|
| 589 |
|
|---|
| 590 | vdp->push_back(aParticle1);
|
|---|
| 591 | vdp->push_back(aParticle2);
|
|---|
| 592 | }
|
|---|
| 593 |
|
|---|
| 594 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
|
|---|
| 595 |
|
|---|
| 596 | const G4Element* G4MuPairProductionModel::SelectRandomAtom(
|
|---|
| 597 | G4double kinEnergy, G4double dt, G4int it,
|
|---|
| 598 | const G4MaterialCutsCouple* couple, G4double tmin)
|
|---|
| 599 | {
|
|---|
| 600 | // select randomly 1 element within the material
|
|---|
| 601 |
|
|---|
| 602 | const G4Material* material = couple->GetMaterial();
|
|---|
| 603 | size_t nElements = material->GetNumberOfElements();
|
|---|
| 604 | const G4ElementVector* theElementVector = material->GetElementVector();
|
|---|
| 605 | if (nElements == 1) return (*theElementVector)[0];
|
|---|
| 606 |
|
|---|
| 607 | if(nElements > nmaxElements) {
|
|---|
| 608 | nmaxElements = nElements;
|
|---|
| 609 | partialSum.resize(nmaxElements);
|
|---|
| 610 | }
|
|---|
| 611 |
|
|---|
| 612 | const G4double* theAtomNumDensityVector=material->GetAtomicNumDensityVector();
|
|---|
| 613 |
|
|---|
| 614 | G4double sum = 0.0;
|
|---|
| 615 | G4double dl;
|
|---|
| 616 |
|
|---|
| 617 | size_t i;
|
|---|
| 618 | for (i=0; i<nElements; i++) {
|
|---|
| 619 | G4double Z = ((*theElementVector)[i])->GetZ();
|
|---|
| 620 | SetCurrentElement(Z);
|
|---|
| 621 | G4double maxPairEnergy = MaxSecondaryEnergy(particle,kinEnergy);
|
|---|
| 622 | G4double minEnergy = std::max(tmin, minPairEnergy);
|
|---|
| 623 | dl = 0.0;
|
|---|
| 624 | if(minEnergy < maxPairEnergy) {
|
|---|
| 625 |
|
|---|
| 626 | G4int iz;
|
|---|
| 627 | for(iz=1; iz<nzdat; iz++) {if(Z <= zdat[iz]) break;}
|
|---|
| 628 | if(iz == nzdat) iz--;
|
|---|
| 629 | G4double dz = log(Z/zdat[iz-1])/log(zdat[iz]/zdat[iz-1]);
|
|---|
| 630 |
|
|---|
| 631 | G4double sigcut;
|
|---|
| 632 | if(minEnergy <= minPairEnergy)
|
|---|
| 633 | sigcut = 0.;
|
|---|
| 634 | else
|
|---|
| 635 | {
|
|---|
| 636 | G4double xc = log(minEnergy/minPairEnergy)/log(maxPairEnergy/minPairEnergy);
|
|---|
| 637 | G4int iy = (G4int)((log(xc) - ymin)/dy);
|
|---|
| 638 | if(iy < 0) iy = 0;
|
|---|
| 639 | if(iy >= nbiny) iy = nbiny-1;
|
|---|
| 640 | sigcut = InterpolatedIntegralCrossSection(dt,dz,iz,it,iy, Z);
|
|---|
| 641 | }
|
|---|
| 642 |
|
|---|
| 643 | G4double sigtot = InterpolatedIntegralCrossSection(dt,dz,iz,it,nbiny,Z);
|
|---|
| 644 | dl = (sigtot - sigcut)*theAtomNumDensityVector[i];
|
|---|
| 645 | }
|
|---|
| 646 | // protection
|
|---|
| 647 | if(dl < 0.0) dl = 0.0;
|
|---|
| 648 | sum += dl;
|
|---|
| 649 | partialSum[i] = sum;
|
|---|
| 650 | }
|
|---|
| 651 |
|
|---|
| 652 | G4double rval = G4UniformRand()*sum;
|
|---|
| 653 | for (i=0; i<nElements; i++) {
|
|---|
| 654 | if(rval<=partialSum[i]) return (*theElementVector)[i];
|
|---|
| 655 | }
|
|---|
| 656 |
|
|---|
| 657 | return (*theElementVector)[nElements - 1];
|
|---|
| 658 |
|
|---|
| 659 | }
|
|---|
| 660 |
|
|---|
| 661 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
|
|---|
| 662 |
|
|---|
| 663 |
|
|---|