| 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: G4WentzelOKandVIxSection.cc,v 1.10 2010/06/01 13:34:21 vnivanch Exp $
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| 27 | // GEANT4 tag $Name: geant4-09-04-beta-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: G4WentzelOKandVIxSection
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| 35 | //
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| 36 | // Author: V.Ivanchenko
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| 37 | //
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| 38 | // Creation date: 09.04.2008 from G4MuMscModel
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| 39 | //
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| 40 | // Modifications:
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| 41 | //
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| 42 | //
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| 43 |
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| 44 | // -------------------------------------------------------------------
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| 45 | //
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| 46 |
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| 47 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 48 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 49 |
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| 50 | #include "G4WentzelOKandVIxSection.hh"
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| 51 | #include "Randomize.hh"
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| 52 | #include "G4Electron.hh"
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| 53 | #include "G4Positron.hh"
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| 54 | #include "G4Proton.hh"
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| 55 | #include "G4LossTableManager.hh"
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| 56 |
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| 57 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 58 |
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| 59 | G4double G4WentzelOKandVIxSection::ScreenRSquare[] = {0.0};
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| 60 | G4double G4WentzelOKandVIxSection::FormFactor[] = {0.0};
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| 61 |
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| 62 | using namespace std;
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| 63 |
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| 64 | G4WentzelOKandVIxSection::G4WentzelOKandVIxSection() :
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| 65 | numlimit(0.1),
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| 66 | nwarnings(0),
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| 67 | nwarnlimit(50),
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| 68 | alpha2(fine_structure_const*fine_structure_const)
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| 69 | {
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| 70 | fNistManager = G4NistManager::Instance();
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| 71 | fG4pow = G4Pow::GetInstance();
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| 72 | theElectron = G4Electron::Electron();
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| 73 | thePositron = G4Positron::Positron();
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| 74 | theProton = G4Proton::Proton();
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| 75 | lowEnergyLimit = 1.0*eV;
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| 76 | G4double p0 = electron_mass_c2*classic_electr_radius;
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| 77 | coeff = twopi*p0*p0;
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| 78 | particle = 0;
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| 79 |
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| 80 | // Thomas-Fermi screening radii
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| 81 | // Formfactors from A.V. Butkevich et al., NIM A 488 (2002) 282
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| 82 |
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| 83 | if(0.0 == ScreenRSquare[0]) {
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| 84 | G4double a0 = electron_mass_c2/0.88534;
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| 85 | G4double constn = 6.937e-6/(MeV*MeV);
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| 86 |
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| 87 | ScreenRSquare[0] = alpha2*a0*a0;
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| 88 | for(G4int j=1; j<100; ++j) {
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| 89 | G4double x = a0*fG4pow->Z13(j);
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| 90 | ScreenRSquare[j] = alpha2*x*x;
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| 91 | x = fNistManager->GetA27(j);
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| 92 | FormFactor[j] = constn*x*x;
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| 93 | }
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| 94 | }
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| 95 | }
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| 96 |
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| 97 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 98 |
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| 99 | G4WentzelOKandVIxSection::~G4WentzelOKandVIxSection()
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| 100 | {}
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| 101 |
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| 102 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 103 |
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| 104 | void G4WentzelOKandVIxSection::Initialise(const G4ParticleDefinition* p,
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| 105 | G4double CosThetaLim)
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| 106 | {
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| 107 | SetupParticle(p);
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| 108 | tkin = mom2 = 0.0;
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| 109 | ecut = etag = DBL_MAX;
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| 110 | targetZ = 0;
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| 111 | cosThetaMax = CosThetaLim;
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| 112 | G4double a =
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| 113 | G4LossTableManager::Instance()->FactorForAngleLimit()*CLHEP::hbarc/CLHEP::fermi;
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| 114 | factorA2 = 0.5*a*a;
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| 115 | currentMaterial = 0;
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| 116 | }
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| 117 |
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| 118 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 119 |
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| 120 | void G4WentzelOKandVIxSection::SetupParticle(const G4ParticleDefinition* p)
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| 121 | {
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| 122 | particle = p;
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| 123 | mass = particle->GetPDGMass();
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| 124 | spin = particle->GetPDGSpin();
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| 125 | if(0.0 != spin) { spin = 0.5; }
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| 126 | G4double q = std::fabs(particle->GetPDGCharge()/eplus);
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| 127 | chargeSquare = q*q;
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| 128 | charge3 = chargeSquare*q;
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| 129 | tkin = 0.0;
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| 130 | currentMaterial = 0;
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| 131 | }
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| 132 |
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| 133 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 134 |
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| 135 | G4double
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| 136 | G4WentzelOKandVIxSection::SetupTarget(G4int Z, G4double cut)
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| 137 | {
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| 138 | G4double cosTetMaxNuc2 = cosTetMaxNuc;
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| 139 | if(Z != targetZ || tkin != etag) {
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| 140 | etag = tkin;
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| 141 | targetZ = Z;
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| 142 | if(targetZ > 99) { targetZ = 99; }
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| 143 | SetTargetMass(fNistManager->GetAtomicMassAmu(targetZ)*amu_c2);
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| 144 | kinFactor = coeff*targetZ*chargeSquare*invbeta2/mom2;
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| 145 |
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| 146 | screenZ = ScreenRSquare[targetZ]/mom2;
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| 147 | if(Z > 1) {
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| 148 | G4double tau = tkin/mass;
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| 149 | screenZ *=std::min(Z*invbeta2,
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| 150 | (1.13 +3.76*Z*Z*invbeta2*alpha2*std::sqrt(tau/(tau + fG4pow->Z23(Z)))));
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| 151 | }
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| 152 | if(targetZ == 1 && cosTetMaxNuc < 0.0 && particle == theProton) {
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| 153 | cosTetMaxNuc = 0.0;
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| 154 | }
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| 155 | formfactA = FormFactor[targetZ]*mom2;
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| 156 |
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| 157 | // allowing do not compute scattering off e-
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| 158 | cosTetMaxElec = 1.0;
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| 159 | if(cut < DBL_MAX) {
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| 160 | if(mass < MeV) {
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| 161 | if(cosTetMaxNuc < 1.0 && cosTetMaxNuc > 0.0 && tkin < 10*cut) {
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| 162 | cosTetMaxNuc2 *= 0.1*tkin/cut;
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| 163 | }
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| 164 | }
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| 165 | ComputeMaxElectronScattering(cut);
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| 166 | }
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| 167 | }
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| 168 | return cosTetMaxNuc2;
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| 169 | }
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| 170 |
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| 171 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 172 |
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| 173 | G4double
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| 174 | G4WentzelOKandVIxSection::ComputeTransportCrossSectionPerAtom(G4double cosTMax)
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| 175 | {
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| 176 | G4double xsec = 0.0;
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| 177 | if(cosTMax >= 1.0) { return xsec; }
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| 178 |
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| 179 | G4double xSection = 0.0;
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| 180 | G4double x = 0;
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| 181 | G4double y = 0;
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| 182 | G4double x1= 0;
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| 183 | G4double x2= 0;
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| 184 | G4double xlog = 0.0;
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| 185 |
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| 186 | G4double costm = std::max(cosTMax,cosTetMaxElec);
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| 187 | G4double fb = screenZ*factB;
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| 188 |
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| 189 | // scattering off electrons
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| 190 | if(costm < 1.0) {
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| 191 | x = (1.0 - costm)/screenZ;
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| 192 | x1= x/(1 + x);
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| 193 | if(x < numlimit) {
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| 194 | x2 = 0.5*x*x;
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| 195 | y = x2*(1.0 - 1.3333333*x + 3*x2);
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| 196 | } else {
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| 197 | xlog = log(1.0 + x);
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| 198 | y = xlog - x1;
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| 199 | }
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| 200 |
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| 201 | if(0.0 < factB) {
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| 202 | if(x < numlimit) { y -= fb*x2*x*(0.6666667 - x); }
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| 203 | else { y -= fb*(x + x1 - 2*xlog); }
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| 204 | }
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| 205 |
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| 206 | if(y < 0.0) {
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| 207 | ++nwarnings;
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| 208 | if(nwarnings < nwarnlimit) {
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| 209 | G4cout << "G4WentzelOKandVIxSection::ComputeTransportCrossSectionPerAtom scattering on e- <0"
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| 210 | << G4endl;
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| 211 | G4cout << "y= " << y
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| 212 | << " e(MeV)= " << tkin << " p(MeV/c)= " << sqrt(mom2)
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| 213 | << " Z= " << targetZ << " "
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| 214 | << particle->GetParticleName() << G4endl;
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| 215 | G4cout << " 1-costm= " << 1.0-costm << " screenZ= " << screenZ
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| 216 | << " x= " << x << G4endl;
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| 217 | }
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| 218 | y = 0.0;
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| 219 | }
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| 220 | xSection = y;
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| 221 | }
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| 222 | /*
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| 223 | G4cout << "G4WentzelVI:XS per A " << " Z= " << targetZ
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| 224 | << " e(MeV)= " << tkin/MeV << " XSel= " << xSection
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| 225 | << " cut(MeV)= " << ecut/MeV
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| 226 | << " zmaxE= " << (1.0 - cosTetMaxElec)/screenZ
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| 227 | << " zmaxN= " << (1.0 - cosThetaMax)/screenZ
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| 228 | << " 1-costm= " << 1.0 - cosThetaMax << G4endl;
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| 229 | */
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| 230 | // scattering off nucleus
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| 231 | if(cosTMax < 1.0) {
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| 232 | x = (1.0 - cosTMax)/screenZ;
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| 233 | x1= x/(1 + x);
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| 234 | if(x < numlimit) {
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| 235 | x2 = 0.5*x*x;
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| 236 | y = x2*(1.0 - 1.3333333*x + 3*x2);
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| 237 | } else {
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| 238 | xlog = log(1.0 + x);
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| 239 | y = xlog - x1;
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| 240 | }
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| 241 |
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| 242 | if(0.0 < factB) {
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| 243 | if(x < numlimit) { y -= fb*x2*x*(0.6666667 - x); }
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| 244 | else { y -= fb*(x + x1 - 2*xlog); }
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| 245 | }
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| 246 | if(y < 0.0) {
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| 247 | ++nwarnings;
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| 248 | if(nwarnings < nwarnlimit) {
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| 249 | G4cout << "G4WentzelOKandVIxSection::ComputeTransportCrossSectionPerAtom scattering on e- <0"
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| 250 | << G4endl;
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| 251 | G4cout << "y= " << y
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| 252 | << " e(MeV)= " << tkin << " Z= " << targetZ << " "
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| 253 | << particle->GetParticleName() << G4endl;
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| 254 | G4cout << " formfactA= " << formfactA << " screenZ= " << screenZ
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| 255 | << " x= " << " x1= " << x1 <<G4endl;
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| 256 | }
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| 257 | y = 0.0;
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| 258 | }
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| 259 | xSection += y*targetZ;
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| 260 | }
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| 261 | xSection *= kinFactor;
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| 262 | /*
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| 263 | G4cout << "Z= " << targetZ << " XStot= " << xSection/barn
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| 264 | << " screenZ= " << screenZ << " formF= " << formfactA
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| 265 | << " for " << particle->GetParticleName()
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| 266 | << " m= " << mass << " 1/v= " << sqrt(invbeta2) << " p= " << sqrt(mom2)
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| 267 | << " x= " << x
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| 268 | << G4endl;
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| 269 | */
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| 270 | return xSection;
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| 271 | }
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| 272 |
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| 273 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 274 |
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| 275 | G4ThreeVector
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| 276 | G4WentzelOKandVIxSection::SampleSingleScattering(G4double cosTMin,
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| 277 | G4double cosTMax,
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| 278 | G4double elecRatio)
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| 279 | {
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| 280 | G4ThreeVector v(0.0,0.0,1.0);
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| 281 |
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| 282 | G4double formf = formfactA;
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| 283 | G4double cost1 = cosTMin;
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| 284 | G4double cost2 = cosTMax;
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| 285 | if(elecRatio > 0.0) {
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| 286 | if(G4UniformRand() <= elecRatio) {
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| 287 | formf = 0.0;
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| 288 | cost1 = std::max(cost1,cosTetMaxElec);
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| 289 | cost2 = std::max(cost2,cosTetMaxElec);
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| 290 | }
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| 291 | }
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| 292 | if(cost1 < cost2) { return v; }
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| 293 |
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| 294 | G4double w1 = 1. - cost1 + screenZ;
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| 295 | G4double w2 = 1. - cost2 + screenZ;
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| 296 | G4double z1 = w1*w2/(w1 + G4UniformRand()*(w2 - w1)) - screenZ;
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| 297 | if(factB > 0.0 || formf > 0.0 || factD > 0.01) {
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| 298 | G4double grej = (1. - z1*factB)/
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| 299 | ( (1.0 + z1*factD)*(1.0 + formf*z1)*(1.0 + formf*z1) );
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| 300 | if( G4UniformRand() > grej ) { return v; }
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| 301 | }
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| 302 | G4double cost = 1.0 - z1;
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| 303 | if(cost > 1.0) { cost = 1.0; }
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| 304 | else if(cost < -1.0) { cost =-1.0; }
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| 305 | G4double sint = sqrt((1.0 - cost)*(1.0 + cost));
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| 306 | //G4cout << "sint= " << sint << G4endl;
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| 307 | G4double phi = twopi*G4UniformRand();
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| 308 | G4double vx1 = sint*cos(phi);
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| 309 | G4double vy1 = sint*sin(phi);
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| 310 |
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| 311 | // only direction is changed
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| 312 | v.set(vx1,vy1,cost);
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| 313 | return v;
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| 314 | }
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| 315 |
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| 316 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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| 317 |
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| 318 | void
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| 319 | G4WentzelOKandVIxSection::ComputeMaxElectronScattering(G4double cutEnergy)
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| 320 | {
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| 321 | G4double tmax = tkin;
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| 322 | if(mass > MeV) {
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| 323 | G4double ratio = electron_mass_c2/mass;
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| 324 | G4double tau = tkin/mass;
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| 325 | tmax = 2.0*electron_mass_c2*tau*(tau + 2.)/
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| 326 | (1.0 + 2.0*ratio*(tau + 1.0) + ratio*ratio);
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| 327 | cosTetMaxElec = 1.0 - std::min(cutEnergy, tmax)*electron_mass_c2/mom2;
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| 328 | } else {
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| 329 |
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| 330 | if(particle == theElectron) { tmax *= 0.5; }
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| 331 | G4double t = std::min(cutEnergy, tmax);
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| 332 | G4double mom21 = t*(t + 2.0*electron_mass_c2);
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| 333 | G4double t1 = tkin - t;
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| 334 | //G4cout <<"tkin=" <<tkin<<" tmax= "<<tmax<<" t= "
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| 335 | //<<t<< " t1= "<<t1<<" cut= "<<ecut<<G4endl;
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| 336 | if(t1 > 0.0) {
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| 337 | G4double mom22 = t1*(t1 + 2.0*mass);
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| 338 | G4double ctm = (mom2 + mom22 - mom21)*0.5/sqrt(mom2*mom22);
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| 339 | if(ctm < 1.0) { cosTetMaxElec = ctm; }
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| 340 | //if(ctm < -1.0) { cosTetMaxElec = -1.0;}
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| 341 | if(particle == theElectron && cosTetMaxElec < 0.0) { cosTetMaxElec = 0.0; }
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| 342 | }
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| 343 | }
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| 344 | }
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| 345 |
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| 346 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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