| 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: G4KleinNishinaModel.cc,v 1.1 2010/09/03 14:11:16 vnivanch Exp $
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| 27 | // GEANT4 tag $Name: emstand-V09-03-24 $
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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: G4KleinNishinaModel
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| 35 | //
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| 36 | // Author: Vladimir Ivanchenko on base of G4KleinNishinaCompton
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| 37 | //
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| 38 | // Creation date: 13.06.2010
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| 39 | //
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| 40 | // Modifications:
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| 41 | //
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| 42 | // Class Description:
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| 43 | //
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| 44 | // -------------------------------------------------------------------
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| 45 | //
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| 46 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 47 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 48 |
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| 49 | #include "G4KleinNishinaModel.hh"
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| 50 | #include "G4Electron.hh"
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| 51 | #include "G4Gamma.hh"
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| 52 | #include "Randomize.hh"
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| 53 | #include "G4RandomDirection.hh"
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| 54 | #include "G4DataVector.hh"
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| 55 | #include "G4ParticleChangeForGamma.hh"
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| 56 | #include "G4VAtomDeexcitation.hh"
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| 57 | #include "G4LossTableManager.hh"
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| 58 |
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| 59 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 60 |
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| 61 | using namespace std;
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| 62 |
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| 63 | G4KleinNishinaModel::G4KleinNishinaModel(const G4String& nam)
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| 64 | : G4VEmModel(nam),isInitialized(false)
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| 65 | {
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| 66 | theGamma = G4Gamma::Gamma();
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| 67 | theElectron = G4Electron::Electron();
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| 68 | lowestGammaEnergy = 1.0*eV;
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| 69 | fProbabilities.resize(9,0.0);
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| 70 | }
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| 71 |
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| 72 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 73 |
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| 74 | G4KleinNishinaModel::~G4KleinNishinaModel()
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| 75 | {}
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| 76 |
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| 77 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 78 |
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| 79 | void G4KleinNishinaModel::Initialise(const G4ParticleDefinition* p,
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| 80 | const G4DataVector& cuts)
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| 81 | {
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| 82 | fAtomDeexcitation = G4LossTableManager::Instance()->AtomDeexcitation();
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| 83 | InitialiseElementSelectors(p, cuts);
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| 84 |
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| 85 | if (isInitialized) { return; }
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| 86 | fParticleChange = GetParticleChangeForGamma();
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| 87 | isInitialized = true;
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| 88 | }
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| 89 |
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| 90 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 91 |
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| 92 | G4double
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| 93 | G4KleinNishinaModel::ComputeCrossSectionPerAtom(const G4ParticleDefinition*,
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| 94 | G4double GammaEnergy,
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| 95 | G4double Z, G4double,
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| 96 | G4double, G4double)
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| 97 | {
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| 98 | G4double CrossSection = 0.0 ;
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| 99 | if ( Z < 0.9999 || GammaEnergy < 0.1*keV) { return CrossSection; }
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| 100 |
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| 101 | static const G4double a = 20.0 , b = 230.0 , c = 440.0;
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| 102 |
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| 103 | static const G4double
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| 104 | d1= 2.7965e-1*barn, d2=-1.8300e-1*barn, d3= 6.7527 *barn, d4=-1.9798e+1*barn,
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| 105 | e1= 1.9756e-5*barn, e2=-1.0205e-2*barn, e3=-7.3913e-2*barn, e4= 2.7079e-2*barn,
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| 106 | f1=-3.9178e-7*barn, f2= 6.8241e-5*barn, f3= 6.0480e-5*barn, f4= 3.0274e-4*barn;
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| 107 |
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| 108 | G4double p1Z = Z*(d1 + e1*Z + f1*Z*Z), p2Z = Z*(d2 + e2*Z + f2*Z*Z),
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| 109 | p3Z = Z*(d3 + e3*Z + f3*Z*Z), p4Z = Z*(d4 + e4*Z + f4*Z*Z);
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| 110 |
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| 111 | G4double T0 = 15.0*keV;
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| 112 | if (Z < 1.5) { T0 = 40.0*keV; }
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| 113 |
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| 114 | G4double X = max(GammaEnergy, T0) / electron_mass_c2;
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| 115 | CrossSection = p1Z*std::log(1.+2.*X)/X
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| 116 | + (p2Z + p3Z*X + p4Z*X*X)/(1. + a*X + b*X*X + c*X*X*X);
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| 117 |
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| 118 | // modification for low energy. (special case for Hydrogen)
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| 119 | if (GammaEnergy < T0) {
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| 120 | G4double dT0 = keV;
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| 121 | X = (T0+dT0) / electron_mass_c2 ;
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| 122 | G4double sigma = p1Z*log(1.+2*X)/X
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| 123 | + (p2Z + p3Z*X + p4Z*X*X)/(1. + a*X + b*X*X + c*X*X*X);
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| 124 | G4double c1 = -T0*(sigma-CrossSection)/(CrossSection*dT0);
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| 125 | G4double c2 = 0.150;
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| 126 | if (Z > 1.5) { c2 = 0.375-0.0556*log(Z); }
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| 127 | G4double y = log(GammaEnergy/T0);
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| 128 | CrossSection *= exp(-y*(c1+c2*y));
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| 129 | }
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| 130 | // G4cout << "e= " << GammaEnergy << " Z= " << Z
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| 131 | // << " cross= " << CrossSection << G4endl;
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| 132 | return CrossSection;
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| 133 | }
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| 134 |
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| 135 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 136 |
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| 137 | void G4KleinNishinaModel::SampleSecondaries(
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| 138 | std::vector<G4DynamicParticle*>* fvect,
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| 139 | const G4MaterialCutsCouple* couple,
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| 140 | const G4DynamicParticle* aDynamicGamma,
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| 141 | G4double,
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| 142 | G4double)
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| 143 | {
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| 144 | G4double energy = aDynamicGamma->GetKineticEnergy();
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| 145 | G4ThreeVector direction = aDynamicGamma->GetMomentumDirection();
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| 146 |
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| 147 | // select atom
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| 148 | const G4Element* elm = SelectRandomAtom(couple, theGamma, energy);
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| 149 |
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| 150 | // select shell first
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| 151 | G4int Z = (G4int)elm->GetZ();
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| 152 | G4int nShells = elm->GetNbOfAtomicShells();
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| 153 | if(nShells > (G4int)fProbabilities.size()) { fProbabilities.resize(nShells); }
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| 154 | G4double totprob = 0.0;
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| 155 | G4int i = 0;
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| 156 | for(; i<nShells; ++i) {
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| 157 | G4double prob = 0.0;
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| 158 | if(energy > elm->GetAtomicShell(i)) {
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| 159 | prob = (G4double)elm->GetNbOfShellElectrons(i);
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| 160 | }
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| 161 | totprob += prob;
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| 162 | fProbabilities[i] = totprob;
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| 163 | }
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| 164 | if(totprob == 0.0) { return; }
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| 165 |
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| 166 | G4LorentzVector lv1, lv2, lv3;
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| 167 | G4LorentzVector lv0(energy*direction.x(),energy*direction.y(),
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| 168 | energy*direction.z(),energy);
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| 169 | G4double eKinEnergy = 0.0;
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| 170 | G4double gamEnergy1 = 0.0;
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| 171 |
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| 172 | // Loop on sampling
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| 173 | do {
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| 174 | G4double xprob = totprob*G4UniformRand();
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| 175 |
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| 176 | for(i=0; i<nShells; ++i) { if(xprob <= fProbabilities[i]) {break;} }
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| 177 | if( i == nShells ) { return; }
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| 178 |
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| 179 | G4double bindingEnergy = elm->GetAtomicShell(i);
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| 180 | G4double tkin = bindingEnergy*0.5;
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| 181 | G4double eEnergy = tkin + electron_mass_c2;
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| 182 | G4double eTotMomentum = sqrt(tkin*(tkin + electron_mass_c2*2));
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| 183 | G4ThreeVector eDir = G4RandomDirection();
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| 184 | lv1 = lv0;
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| 185 | lv2.set(eTotMomentum*eDir.x(),eTotMomentum*eDir.y(),
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| 186 | eTotMomentum*eDir.z(),eEnergy);
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| 187 | G4ThreeVector bst = lv2.boostVector();
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| 188 | lv1.boost(-bst);
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| 189 |
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| 190 | // In the rest frame of an electron
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| 191 | // The scattered gamma energy is sampled according to Klein - Nishina formula.
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| 192 | // The random number techniques of Butcher & Messel are used
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| 193 | // (Nuc Phys 20(1960),15).
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| 194 |
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| 195 | G4double gamEnergy0 = lv1.e();
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| 196 | G4double E0_m = gamEnergy0 / electron_mass_c2 ;
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| 197 |
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| 198 | G4ThreeVector gamDirection0 = (lv1.vect()).unit();
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| 199 |
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| 200 | //
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| 201 | // sample the energy rate of the scattered gamma
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| 202 | //
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| 203 |
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| 204 | G4double epsilon, epsilonsq, onecost, sint2, greject ;
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| 205 |
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| 206 | G4double epsilon0 = 1./(1. + 2.*E0_m);
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| 207 | G4double epsilon0sq = epsilon0*epsilon0;
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| 208 | G4double alpha1 = - log(epsilon0);
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| 209 | G4double alpha2 = 0.5*(1.- epsilon0sq);
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| 210 |
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| 211 | do {
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| 212 | if ( alpha1/(alpha1+alpha2) > G4UniformRand() ) {
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| 213 | epsilon = exp(-alpha1*G4UniformRand()); // epsilon0**r
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| 214 | epsilonsq = epsilon*epsilon;
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| 215 |
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| 216 | } else {
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| 217 | epsilonsq = epsilon0sq + (1.- epsilon0sq)*G4UniformRand();
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| 218 | epsilon = sqrt(epsilonsq);
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| 219 | };
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| 220 |
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| 221 | onecost = (1.- epsilon)/(epsilon*E0_m);
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| 222 | sint2 = onecost*(2.-onecost);
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| 223 | greject = 1. - epsilon*sint2/(1.+ epsilonsq);
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| 224 |
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| 225 | } while (greject < G4UniformRand());
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| 226 |
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| 227 | //
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| 228 | // scattered gamma angles. ( Z - axis along the parent gamma)
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| 229 | //
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| 230 |
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| 231 | G4double cosTeta = 1. - onecost;
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| 232 | G4double sinTeta = sqrt (sint2);
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| 233 | G4double Phi = twopi * G4UniformRand();
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| 234 | G4double dirx = sinTeta*cos(Phi), diry = sinTeta*sin(Phi), dirz = cosTeta;
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| 235 |
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| 236 | //
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| 237 | // update G4VParticleChange for the scattered gamma
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| 238 | //
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| 239 |
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| 240 | G4ThreeVector gamDirection1 ( dirx,diry,dirz );
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| 241 | gamDirection1.rotateUz(gamDirection0);
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| 242 | gamEnergy1 = epsilon*gamEnergy0;
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| 243 |
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| 244 | // before scattering
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| 245 | lv2.set(0.0,0.0,0.0,electron_mass_c2);
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| 246 | lv2 += lv1;
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| 247 |
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| 248 | // after scattering
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| 249 | lv1.set(gamEnergy1*gamDirection1.x(),gamEnergy1*gamDirection1.y(),
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| 250 | gamEnergy1*gamDirection1.z(),gamEnergy1);
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| 251 | lv2 -= lv1;
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| 252 | lv2.boost(bst);
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| 253 | lv1.boost(bst);
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| 254 | eKinEnergy = lv2.e() - electron_mass_c2 - bindingEnergy;
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| 255 | } while ( eKinEnergy < 0.0 );
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| 256 |
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| 257 | // gamma kinematics
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| 258 | gamEnergy1 = lv1.e();
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| 259 | if(gamEnergy1 > lowestGammaEnergy) {
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| 260 | fParticleChange->SetProposedKineticEnergy(gamEnergy1);
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| 261 | fParticleChange->ProposeMomentumDirection((lv1.vect()).unit());
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| 262 | } else {
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| 263 | fParticleChange->ProposeTrackStatus(fStopAndKill);
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| 264 | fParticleChange->ProposeLocalEnergyDeposit(gamEnergy1);
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| 265 | }
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| 266 |
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| 267 | //
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| 268 | // kinematic of the scattered electron
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| 269 | //
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| 270 | if(eKinEnergy > DBL_MIN) {
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| 271 | G4ThreeVector eDirection = (lv2.vect()).unit();
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| 272 | G4DynamicParticle* dp = new G4DynamicParticle(theElectron,eDirection,eKinEnergy);
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| 273 | fvect->push_back(dp);
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| 274 | }
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| 275 | // sample deexcitation
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| 276 | //
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| 277 | if(fAtomDeexcitation) {
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| 278 | G4AtomicShellEnumerator as = G4AtomicShellEnumerator(i);
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| 279 | const G4AtomicShell* shell = fAtomDeexcitation->GetAtomicShell(Z, as);
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| 280 | fAtomDeexcitation->GenerateParticles(fvect, shell, Z, couple->GetIndex());
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| 281 | }
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| 282 | }
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| 283 |
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| 284 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 285 |
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