| [819] | 1 | //
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| 2 | // ********************************************************************
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| 3 | // * License and Disclaimer *
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| 4 | // * *
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of *
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and *
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| 7 | // * conditions of the Geant4 Software License, included in the file *
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These *
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| 9 | // * include a list of copyright holders. *
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| 10 | // * *
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| 11 | // * Neither the authors of this software system, nor their employing *
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| 12 | // * institutes,nor the agencies providing financial support for this *
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| 13 | // * work make any representation or warranty, express or implied, *
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| 14 | // * regarding this software system or assume any liability for its *
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| 15 | // * use. Please see the license in the file LICENSE and URL above *
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| 16 | // * for the full disclaimer and the limitation of liability. *
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| 17 | // * *
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| 18 | // * This code implementation is the result of the scientific and *
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| 19 | // * technical work of the GEANT4 collaboration. *
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| 20 | // * By using, copying, modifying or distributing the software (or *
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| 21 | // * any work based on the software) you agree to acknowledge its *
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| 22 | // * use in resulting scientific publications, and indicate your *
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| 23 | // * acceptance of all terms of the Geant4 Software license. *
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| 24 | // ********************************************************************
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| 25 | //
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| [962] | 26 | // $Id: G4MuMinusCaptureCascade.cc,v 1.16 2008/05/05 09:09:06 vnivanch Exp $
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| [1196] | 27 | // GEANT4 tag $Name: geant4-09-03-cand-01 $
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| [819] | 28 | //
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| 29 | // G4MuonMinusCaptureAtRest physics process
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| 30 | //
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| 31 | // E-mail: Vladimir.Ivantchenko@cern.ch
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| 32 | //
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| 33 | // Created: 02.04.00 V.Ivanchenko
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| 34 | //
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| 35 | // Modified:
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| 36 | // 06.04.01 V.Ivanchenko Bug in theta distribution fixed
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| 37 | // 13.02.07 V.Ivanchenko Fixes in decay - add random distribution of e-
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| 38 | // direction; factor 2 in potential energy
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| 39 | //
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| 40 | //----------------------------------------------------------------------
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| 41 |
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| 42 | #include "G4MuMinusCaptureCascade.hh"
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| 43 | #include "G4LorentzVector.hh"
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| 44 | #include "G4ParticleMomentum.hh"
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| 45 | #include "G4MuonMinus.hh"
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| 46 | #include "G4Electron.hh"
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| 47 | #include "G4Gamma.hh"
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| 48 | #include "G4NeutrinoMu.hh"
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| 49 | #include "G4AntiNeutrinoE.hh"
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| 50 | #include "G4GHEKinematicsVector.hh"
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| 51 |
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| 52 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 53 |
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| 54 | G4MuMinusCaptureCascade::G4MuMinusCaptureCascade()
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| 55 | {
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| 56 | theElectron = G4Electron::Electron();
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| 57 | theGamma = G4Gamma::Gamma();
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| 58 | Emass = theElectron->GetPDGMass();
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| 59 | MuMass = G4MuonMinus::MuonMinus()->GetPDGMass();
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| 60 | }
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| 61 |
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| 62 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 63 |
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| 64 | G4MuMinusCaptureCascade::~G4MuMinusCaptureCascade()
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| 65 | { }
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| 66 |
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| 67 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 68 |
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| 69 | G4double G4MuMinusCaptureCascade::GetKShellEnergy(G4double Z)
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| 70 | {
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| 71 | // Calculate the Energy of K Mesoatom Level for this Element using
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| 72 | // the Energy of Hydrogen Atom taken into account finite size of the
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| 73 | // nucleus (V.Ivanchenko)
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| 74 | const G4int ListK = 28;
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| 75 | static G4double ListZK[ListK] = {
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| 76 | 1., 2., 4., 6., 8., 11., 14., 17., 18., 21., 24.,
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| 77 | 26., 29., 32., 38., 40., 41., 44., 49., 53., 55.,
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| 78 | 60., 65., 70., 75., 81., 85., 92.};
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| 79 | static G4double ListKEnergy[ListK] = {
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| 80 | 0.00275, 0.011, 0.043, 0.098, 0.173, 0.326,
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| 81 | 0.524, 0.765, 0.853, 1.146, 1.472,
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| 82 | 1.708, 2.081, 2.475, 3.323, 3.627,
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| 83 | 3.779, 4.237, 5.016, 5.647, 5.966,
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| 84 | 6.793, 7.602, 8.421, 9.249, 10.222,
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| 85 | 10.923,11.984};
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| 86 |
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| 87 | // Energy with finit size corrections
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| 88 | G4double KEnergy = GetLinApprox(ListK,ListZK,ListKEnergy,Z);
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| 89 |
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| 90 | return KEnergy;
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| 91 | }
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| 92 |
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| 93 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 94 |
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| 95 | void G4MuMinusCaptureCascade::AddNewParticle(G4ParticleDefinition* aParticle,
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| 96 | G4ThreeVector& Momentum,
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| 97 | G4double mass,
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| 98 | G4int* nParticle,
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| 99 | G4GHEKinematicsVector* Cascade)
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| 100 | {
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| 101 | // Store particle in the HEK vector and increment counter
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| 102 | Cascade[*nParticle].SetZero();
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| 103 | Cascade[*nParticle].SetMass( mass );
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| 104 | Cascade[*nParticle].SetMomentumAndUpdate(Momentum.x(), Momentum.y(), Momentum.z());
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| 105 | Cascade[*nParticle].SetParticleDef( aParticle );
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| 106 | (*nParticle)++;
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| 107 |
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| 108 | return;
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| 109 | }
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| 110 |
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| 111 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 112 |
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| 113 | G4int G4MuMinusCaptureCascade::DoCascade(const G4double Z, const G4double massA,
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| 114 | G4GHEKinematicsVector* Cascade)
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| 115 | {
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| 116 | // Inicialization - cascade start from 14th level
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| 117 | // N.C.Mukhopadhyay Phy. Rep. 30 (1977) 1.
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| 118 | G4int nPart = 0;
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| 119 | G4double EnergyLevel[14];
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| 120 |
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| 121 | G4double mass = MuMass * massA / (MuMass + massA) ;
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| 122 |
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| 123 | const G4double KEnergy = 13.6 * eV * Z * Z * mass/ electron_mass_c2;
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| 124 |
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| 125 | EnergyLevel[0] = GetKShellEnergy(Z);
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| 126 | for( G4int i = 2; i < 15; i++ ) {
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| 127 | EnergyLevel[i-1] = KEnergy / (i*i) ;
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| 128 | }
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| 129 |
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| 130 | G4int nElec = G4int(Z);
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| 131 | G4int nAuger = 1;
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| 132 | G4int nLevel = 13;
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| 133 | G4double DeltaE;
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| 134 | G4double pGamma = Z*Z*Z*Z;
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| 135 |
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| 136 | // Capture on 14-th level
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| 137 | G4double ptot = std::sqrt(EnergyLevel[13]*(EnergyLevel[13] + 2.0*Emass));
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| 138 | G4ThreeVector moment = ptot * GetRandomVec();
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| 139 |
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| 140 | AddNewParticle(theElectron,moment,Emass,&nPart,Cascade);
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| 141 |
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| 142 | // Emit new photon or electron
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| 143 | // Simplified model for probabilities
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| 144 | // N.C.Mukhopadhyay Phy. Rep. 30 (1977) 1.
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| 145 | do {
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| 146 |
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| 147 | // case of Auger electrons
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| 148 | if((nAuger < nElec) && ((pGamma + 10000.0) * G4UniformRand() < 10000.0) ) {
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| 149 | nAuger++;
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| 150 | DeltaE = EnergyLevel[nLevel-1] - EnergyLevel[nLevel];
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| 151 | nLevel--;
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| 152 |
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| 153 | ptot = std::sqrt(DeltaE * (DeltaE + 2.0*Emass));
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| 154 | moment = ptot * GetRandomVec();
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| 155 |
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| 156 | AddNewParticle(theElectron, moment, Emass, &nPart, Cascade);
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| 157 |
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| 158 | } else {
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| 159 |
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| 160 | // Case of photon cascade, probabilities from
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| 161 | // C.S.Wu and L.Wilets, Ann. Rev. Nuclear Sci. 19 (1969) 527.
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| 162 |
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| 163 | G4double var = (10.0 + G4double(nLevel - 1) ) * G4UniformRand();
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| 164 | G4int iLevel = nLevel - 1 ;
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| 165 | if(var > 10.0) iLevel -= G4int(var-10.0) + 1;
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| 166 | if( iLevel < 0 ) iLevel = 0;
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| 167 | DeltaE = EnergyLevel[iLevel] - EnergyLevel[nLevel];
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| 168 | nLevel = iLevel;
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| 169 | moment = DeltaE * GetRandomVec();
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| 170 | AddNewParticle(theGamma, moment, 0.0, &nPart, Cascade);
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| 171 | }
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| 172 |
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| 173 | } while( nLevel > 0 );
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| 174 |
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| 175 | return nPart;
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| 176 | }
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| 177 |
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| 178 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 179 |
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| 180 | void G4MuMinusCaptureCascade::DoBoundMuonMinusDecay(G4double Z,
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| 181 | G4int* nCascade,
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| 182 | G4GHEKinematicsVector* Cascade)
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| 183 | {
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| 184 | // Simulation on Decay of mu- on a K-shell of the muonic atom
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| 185 | G4double xmax = ( 1.0 + Emass*Emass/ (MuMass*MuMass) );
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| 186 | G4double xmin = 2.0*Emass/MuMass;
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| 187 | G4double KEnergy = GetKShellEnergy(Z);
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| 188 | /*
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| 189 | G4cout << "G4MuMinusCaptureCascade::DoBoundMuonMinusDecay"
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| 190 | << " XMAX= " << xmax
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| 191 | << " Ebound= " << KEnergy
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| 192 | << G4endl;
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| 193 | */
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| 194 | G4double pmu = std::sqrt(KEnergy*(KEnergy + 2.0*MuMass));
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| 195 | G4double emu = KEnergy + MuMass;
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| 196 | G4ThreeVector moment = GetRandomVec();
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| 197 | G4LorentzVector MU(pmu*moment,emu);
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| 198 | G4ThreeVector bst = MU.boostVector();
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| 199 |
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| 200 | G4double Eelect, Pelect, x, ecm;
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| 201 | G4LorentzVector EL, NN;
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| 202 | // Calculate electron energy
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| 203 | do {
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| 204 | do {
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| 205 | x = xmin + (xmax-xmin)*G4UniformRand();
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| 206 | } while (G4UniformRand() > (3.0 - 2.0*x)*x*x );
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| 207 | Eelect = x*MuMass*0.5;
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| 208 | Pelect = 0.0;
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| 209 | if(Eelect > Emass) {
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| 210 | Pelect = std::sqrt( Eelect*Eelect - Emass*Emass );
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| 211 | } else {
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| 212 | Pelect = 0.0;
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| 213 | Eelect = Emass;
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| 214 | }
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| 215 | G4ThreeVector e_mom = GetRandomVec();
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| 216 | EL = G4LorentzVector(Pelect*e_mom,Eelect);
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| 217 | EL.boost(bst);
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| 218 | Eelect = EL.e() - Emass - 2.0*KEnergy;
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| 219 | //
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| 220 | // Calculate rest frame parameters of 2 neutrinos
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| 221 | //
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| 222 | NN = MU - EL;
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| 223 | ecm = NN.mag2();
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| 224 | } while (Eelect < 0.0 || ecm < 0.0);
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| 225 |
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| 226 | //
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| 227 | // Create electron
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| 228 | //
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| 229 | moment = std::sqrt(Eelect * (Eelect + 2.0*Emass))*(EL.vect().unit());
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| 230 | AddNewParticle(theElectron, moment, Emass, nCascade, Cascade);
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| 231 | //
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| 232 | // Create Neutrinos
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| 233 | //
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| 234 | ecm = 0.5*std::sqrt(ecm);
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| 235 | bst = NN.boostVector();
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| 236 | G4ThreeVector p1 = ecm * GetRandomVec();
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| 237 | G4LorentzVector N1 = G4LorentzVector(p1,ecm);
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| 238 | N1.boost(bst);
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| 239 | G4ThreeVector p1lab = N1.vect();
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| 240 | AddNewParticle(G4AntiNeutrinoE::AntiNeutrinoE(),p1lab,0.0,nCascade,Cascade);
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| 241 | NN -= N1;
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| 242 | G4ThreeVector p2lab = NN.vect();
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| 243 | AddNewParticle(G4NeutrinoMu::NeutrinoMu(),p2lab,0.0,nCascade,Cascade);
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| 244 |
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| 245 | return;
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| 246 | }
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| 247 |
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