473 lines
17 KiB
C++
473 lines
17 KiB
C++
//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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//
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// ------------ G4GammaConversionToMuons physics process ------
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// by H.Burkhardt, S. Kelner and R. Kokoulin, April 2002
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//
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//
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// 07-08-02: missprint in OR condition in DoIt : f1<0 || f1>f1_max ..etc ...
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// 25-10-04: migrade to new interfaces of ParticleChange (vi)
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// ---------------------------------------------------------------------------
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#include "G4GammaConversionToMuons.hh"
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#include "G4BetheHeitler5DModel.hh"
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#include "G4Electron.hh"
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#include "G4EmParameters.hh"
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#include "G4EmProcessSubType.hh"
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#include "G4Exp.hh"
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#include "G4Gamma.hh"
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#include "G4Log.hh"
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#include "G4LossTableManager.hh"
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#include "G4MuonMinus.hh"
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#include "G4MuonPlus.hh"
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#include "G4NistManager.hh"
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#include "G4PhysicalConstants.hh"
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#include "G4Positron.hh"
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#include "G4ProductionCutsTable.hh"
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#include "G4SystemOfUnits.hh"
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#include "G4UnitsTable.hh"
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.....
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static const G4double sqrte = std::sqrt(std::exp(1.));
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static const G4double PowSat = -0.88;
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G4GammaConversionToMuons::G4GammaConversionToMuons(const G4String& processName,
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G4ProcessType type)
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: G4VDiscreteProcess (processName, type),
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Mmuon(G4MuonPlus::MuonPlus()->GetPDGMass()),
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Rc(CLHEP::elm_coupling / Mmuon),
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LimitEnergy(5. * Mmuon),
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LowestEnergyLimit(2. * Mmuon),
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HighestEnergyLimit(1e12 * CLHEP::GeV), // ok to 1e12GeV, then LPM suppression
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theGamma(G4Gamma::Gamma()),
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theMuonPlus(G4MuonPlus::MuonPlus()),
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theMuonMinus(G4MuonMinus::MuonMinus())
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{
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SetProcessSubType(fGammaConversionToMuMu);
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fManager = G4LossTableManager::Instance();
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fManager->Register(this);
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.....
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G4GammaConversionToMuons::~G4GammaConversionToMuons()
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{
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fManager->DeRegister(this);
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.....
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G4bool G4GammaConversionToMuons::IsApplicable(const G4ParticleDefinition& part)
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{
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return (&part == theGamma);
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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void G4GammaConversionToMuons::BuildPhysicsTable(const G4ParticleDefinition& p)
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{
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Energy5DLimit = G4EmParameters::Instance()->MaxEnergyFor5DMuPair();
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auto table = G4Material::GetMaterialTable();
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std::size_t nelm = 0;
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for (auto const& mat : *table) {
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std::size_t n = mat->GetNumberOfElements();
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nelm = std::max(nelm, n);
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}
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temp.resize(nelm, 0);
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if (Energy5DLimit > 0.0 && nullptr != f5Dmodel) {
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f5Dmodel = new G4BetheHeitler5DModel();
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f5Dmodel->SetLeptonPair(theMuonPlus, theMuonMinus);
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const std::size_t numElems = G4ProductionCutsTable::GetProductionCutsTable()->GetTableSize();
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const G4DataVector cuts(numElems);
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f5Dmodel->Initialise(&p, cuts);
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}
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PrintInfoDefinition();
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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G4double G4GammaConversionToMuons::GetMeanFreePath(const G4Track& aTrack, G4double,
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G4ForceCondition*)
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// returns the photon mean free path in GEANT4 internal units
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{
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const G4DynamicParticle* aDynamicGamma = aTrack.GetDynamicParticle();
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G4double GammaEnergy = aDynamicGamma->GetKineticEnergy();
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const G4Material* aMaterial = aTrack.GetMaterial();
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return ComputeMeanFreePath(GammaEnergy, aMaterial);
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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G4double
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G4GammaConversionToMuons::ComputeMeanFreePath(G4double GammaEnergy,
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const G4Material* aMaterial)
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// computes and returns the photon mean free path in GEANT4 internal units
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{
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if(GammaEnergy <= LowestEnergyLimit) { return DBL_MAX; }
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const G4ElementVector* theElementVector = aMaterial->GetElementVector();
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const G4double* NbOfAtomsPerVolume = aMaterial->GetVecNbOfAtomsPerVolume();
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G4double SIGMA = 0.0;
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G4double fact = 1.0;
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G4double e = GammaEnergy;
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// low energy approximation as in Bethe-Heitler model
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if(e < LimitEnergy) {
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G4double y = (e - LowestEnergyLimit)/(LimitEnergy - LowestEnergyLimit);
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fact = y*y;
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e = LimitEnergy;
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}
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for ( std::size_t i=0 ; i < aMaterial->GetNumberOfElements(); ++i)
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{
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SIGMA += NbOfAtomsPerVolume[i] * fact *
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ComputeCrossSectionPerAtom(e, (*theElementVector)[i]->GetZasInt());
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}
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return (SIGMA > 0.0) ? 1./SIGMA : DBL_MAX;
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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G4double G4GammaConversionToMuons::GetCrossSectionPerAtom(
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const G4DynamicParticle* aDynamicGamma,
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const G4Element* anElement)
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// gives the total cross section per atom in GEANT4 internal units
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{
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return ComputeCrossSectionPerAtom(aDynamicGamma->GetKineticEnergy(),
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anElement->GetZasInt());
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.....
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G4double G4GammaConversionToMuons::ComputeCrossSectionPerAtom(
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G4double Egam, G4int Z)
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// Calculates the microscopic cross section in GEANT4 internal units.
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// Total cross section parametrisation from H.Burkhardt
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// It gives a good description at any energy (from 0 to 10**21 eV)
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{
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if(Egam <= LowestEnergyLimit) { return 0.0; }
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G4NistManager* nist = G4NistManager::Instance();
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G4double PowThres, Ecor, B, Dn, Zthird, Winfty, WMedAppr, Wsatur, sigfac;
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if (Z == 1) { // special case of Hydrogen
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B = 202.4;
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Dn = 1.49;
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}
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else {
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B = 183.;
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Dn = 1.54 * nist->GetA27(Z);
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}
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Zthird = 1. / nist->GetZ13(Z); // Z**(-1/3)
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Winfty = B * Zthird * Mmuon / (Dn * electron_mass_c2);
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WMedAppr = 1. / (4. * Dn * sqrte * Mmuon);
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Wsatur = Winfty / WMedAppr;
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sigfac = 4. * fine_structure_const * Z * Z * Rc * Rc;
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PowThres = 1.479 + 0.00799 * Dn;
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Ecor = -18. + 4347. / (B * Zthird);
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G4double CorFuc = 1. + .04 * G4Log(1. + Ecor / Egam);
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G4double Eg =
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G4Exp(G4Log(1. - 4. * Mmuon / Egam) * PowThres)
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* G4Exp(G4Log(G4Exp(G4Log(Wsatur) * PowSat) + G4Exp(G4Log(Egam) * PowSat)) / PowSat);
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G4double CrossSection = 7. / 9. * sigfac * G4Log(1. + WMedAppr * CorFuc * Eg);
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CrossSection *= CrossSecFactor; // increase the CrossSection by (by default 1)
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return CrossSection;
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.....
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void G4GammaConversionToMuons::SetCrossSecFactor(G4double fac)
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// Set the factor to artificially increase the cross section
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{
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if (fac < 0.0) return;
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CrossSecFactor = fac;
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if (verboseLevel > 1) {
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G4cout << "The cross section for GammaConversionToMuons is artificially "
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<< "increased by the CrossSecFactor=" << CrossSecFactor << G4endl;
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}
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.....
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G4VParticleChange* G4GammaConversionToMuons::PostStepDoIt(
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const G4Track& aTrack,
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const G4Step& aStep)
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//
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// generation of gamma->mu+mu-
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//
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{
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aParticleChange.Initialize(aTrack);
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const G4Material* aMaterial = aTrack.GetMaterial();
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// current Gamma energy and direction, return if energy too low
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const G4DynamicParticle* aDynamicGamma = aTrack.GetDynamicParticle();
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G4double Egam = aDynamicGamma->GetKineticEnergy();
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if (Egam <= LowestEnergyLimit) {
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return G4VDiscreteProcess::PostStepDoIt(aTrack,aStep);
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}
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//
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// Kill the incident photon
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//
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aParticleChange.ProposeMomentumDirection( 0., 0., 0. ) ;
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aParticleChange.ProposeEnergy( 0. ) ;
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aParticleChange.ProposeTrackStatus( fStopAndKill ) ;
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if (Egam <= Energy5DLimit) {
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std::vector<G4DynamicParticle*> fvect;
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f5Dmodel->SampleSecondaries(&fvect, aTrack.GetMaterialCutsCouple(),
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aTrack.GetDynamicParticle(), 0.0, DBL_MAX);
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for(auto dp : fvect) { aParticleChange.AddSecondary(dp); }
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return G4VDiscreteProcess::PostStepDoIt(aTrack,aStep);
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}
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G4ParticleMomentum GammaDirection = aDynamicGamma->GetMomentumDirection();
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// select randomly one element constituting the material
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const G4Element* anElement = SelectRandomAtom(aDynamicGamma, aMaterial);
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G4int Z = anElement->GetZasInt();
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G4NistManager* nist = G4NistManager::Instance();
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G4double B, Dn;
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G4double A027 = nist->GetA27(Z);
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if (Z == 1) { // special case of Hydrogen
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B = 202.4;
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Dn = 1.49;
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}
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else {
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B = 183.;
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Dn = 1.54 * A027;
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}
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G4double Zthird = 1. / nist->GetZ13(Z); // Z**(-1/3)
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G4double Winfty = B * Zthird * Mmuon / (Dn * electron_mass_c2);
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G4double C1Num = 0.138 * A027;
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G4double C1Num2 = C1Num * C1Num;
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G4double C2Term2 = electron_mass_c2 / (183. * Zthird * Mmuon);
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G4double GammaMuonInv = Mmuon / Egam;
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// generate xPlus according to the differential cross section by rejection
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G4double xmin = (Egam <= LimitEnergy) ? 0.5 : 0.5 - std::sqrt(0.25 - GammaMuonInv);
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G4double xmax = 1. - xmin;
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G4double Ds2 = (Dn * sqrte - 2.);
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G4double sBZ = sqrte * B * Zthird / electron_mass_c2;
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G4double LogWmaxInv =
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1. / G4Log(Winfty * (1. + 2. * Ds2 * GammaMuonInv) / (1. + 2. * sBZ * Mmuon * GammaMuonInv));
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G4double xPlus = 0.5;
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G4double xMinus = 0.5;
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G4double xPM = 0.25;
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G4int nn = 0;
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const G4int nmax = 1000;
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// sampling for Egam > LimitEnergy
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if (xmin < 0.5) {
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G4double result, W;
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do {
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xPlus = xmin + G4UniformRand() * (xmax - xmin);
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xMinus = 1. - xPlus;
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xPM = xPlus * xMinus;
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G4double del = Mmuon * Mmuon / (2. * Egam * xPM);
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W = Winfty * (1. + Ds2 * del / Mmuon) / (1. + sBZ * del);
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G4double xxp = 1. - 4. / 3. * xPM; // the main xPlus dependence
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result = (xxp > 0.) ? xxp * G4Log(W) * LogWmaxInv : 0.0;
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if (result > 1.) {
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G4cout << "G4GammaConversionToMuons::PostStepDoIt WARNING:"
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<< " in dSigxPlusGen, result=" << result << " > 1" << G4endl;
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}
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++nn;
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if(nn >= nmax) { break; }
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}
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// Loop checking, 07-Aug-2015, Vladimir Ivanchenko
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while (G4UniformRand() > result);
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}
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// now generate the angular variables via the auxilary variables t,psi,rho
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G4double t;
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G4double psi;
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G4double rho;
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G4double a3 = (GammaMuonInv / (2. * xPM));
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G4double a33 = a3 * a3;
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G4double f1;
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G4double b1 = 1./(4.*C1Num2);
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G4double b3 = b1*b1*b1;
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G4double a21 = a33 + b1;
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G4double f1_max=-(1.-xPM)*(2.*b1+(a21+a33)*G4Log(a33/a21))/(2*b3);
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G4double thetaPlus,thetaMinus,phiHalf; // final angular variables
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nn = 0;
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// t, psi, rho generation start (while angle < pi)
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do {
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//generate t by the rejection method
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do {
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++nn;
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t=G4UniformRand();
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G4double a34=a33/(t*t);
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G4double a22 = a34 + b1;
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if(std::abs(b1)<0.0001*a34) {
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// special case of a34=a22 because of logarithm accuracy
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f1=(1.-2.*xPM+4.*xPM*t*(1.-t))/(12.*a34*a34*a34*a34);
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}
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else {
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f1=-(1.-2.*xPM+4.*xPM*t*(1.-t))*(2.*b1+(a22+a34)*G4Log(a34/a22))/(2*b3);
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}
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if (f1 < 0.0 || f1 > f1_max) { // should never happend
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G4cout << "G4GammaConversionToMuons::PostStepDoIt WARNING:"
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<< "outside allowed range f1=" << f1
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<< " is set to zero, a34 = "<< a34 << " a22 = "<<a22<<"."
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<< G4endl;
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f1 = 0.0;
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}
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if(nn > nmax) { break; }
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// Loop checking, 07-Aug-2015, Vladimir Ivanchenko
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} while ( G4UniformRand()*f1_max > f1);
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// generate psi by the rejection method
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G4double f2_max=1.-2.*xPM*(1.-4.*t*(1.-t));
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// long version
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G4double f2;
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do {
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++nn;
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psi=twopi*G4UniformRand();
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f2=1.-2.*xPM+4.*xPM*t*(1.-t)*(1.+std::cos(2.*psi));
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if(f2<0 || f2> f2_max) { // should never happend
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G4cout << "G4GammaConversionToMuons::PostStepDoIt WARNING:"
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<< "outside allowed range f2=" << f2 << " is set to zero" << G4endl;
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f2 = 0.0;
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}
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if(nn >= nmax) { break; }
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// Loop checking, 07-Aug-2015, Vladimir Ivanchenko
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} while ( G4UniformRand()*f2_max > f2);
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// generate rho by direct transformation
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G4double C2Term1=GammaMuonInv/(2.*xPM*t);
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G4double C22 = C2Term1*C2Term1+C2Term2*C2Term2;
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G4double C2=4.*C22*C22/std::sqrt(xPM);
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G4double rhomax=(1./t-1.)*1.9/A027;
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G4double beta=G4Log( (C2+rhomax*rhomax*rhomax*rhomax)/C2 );
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rho=G4Exp(G4Log(C2 *( G4Exp(beta*G4UniformRand())-1. ))*0.25);
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//now get from t and psi the kinematical variables
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G4double u=std::sqrt(1./t-1.);
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G4double xiHalf=0.5*rho*std::cos(psi);
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phiHalf=0.5*rho/u*std::sin(psi);
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thetaPlus =GammaMuonInv*(u+xiHalf)/xPlus;
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thetaMinus=GammaMuonInv*(u-xiHalf)/xMinus;
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// protection against infinite loop
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if(nn > nmax) {
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if(std::abs(thetaPlus)>pi) { thetaPlus = 0.0; }
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if(std::abs(thetaMinus)>pi) { thetaMinus = 0.0; }
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}
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// Loop checking, 07-Aug-2015, Vladimir Ivanchenko
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} while ( std::abs(thetaPlus)>pi || std::abs(thetaMinus) >pi);
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// now construct the vectors
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// azimuthal symmetry, take phi0 at random between 0 and 2 pi
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G4double phi0=twopi*G4UniformRand();
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G4double EPlus=xPlus*Egam;
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G4double EMinus=xMinus*Egam;
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// mu+ mu- directions for gamma in z-direction
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G4ThreeVector MuPlusDirection ( std::sin(thetaPlus) *std::cos(phi0+phiHalf),
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std::sin(thetaPlus) *std::sin(phi0+phiHalf), std::cos(thetaPlus) );
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G4ThreeVector MuMinusDirection (-std::sin(thetaMinus)*std::cos(phi0-phiHalf),
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-std::sin(thetaMinus) *std::sin(phi0-phiHalf), std::cos(thetaMinus) );
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// rotate to actual gamma direction
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MuPlusDirection.rotateUz(GammaDirection);
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MuMinusDirection.rotateUz(GammaDirection);
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// create G4DynamicParticle object for the particle1
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auto aParticle1 = new G4DynamicParticle(theMuonPlus, MuPlusDirection, EPlus - Mmuon);
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aParticleChange.AddSecondary(aParticle1);
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// create G4DynamicParticle object for the particle2
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auto aParticle2 = new G4DynamicParticle(theMuonMinus, MuMinusDirection, EMinus - Mmuon);
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aParticleChange.AddSecondary(aParticle2);
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// Reset NbOfInteractionLengthLeft and return aParticleChange
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return G4VDiscreteProcess::PostStepDoIt( aTrack, aStep );
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.....
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const G4Element* G4GammaConversionToMuons::SelectRandomAtom(
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const G4DynamicParticle* aDynamicGamma,
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const G4Material* aMaterial)
|
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{
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// select randomly 1 element within the material, invoked by PostStepDoIt
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const std::size_t NumberOfElements = aMaterial->GetNumberOfElements();
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const G4ElementVector* theElementVector = aMaterial->GetElementVector();
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|
const G4Element* elm = (*theElementVector)[0];
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|
|
|
if (NumberOfElements > 1) {
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|
G4double e = std::max(aDynamicGamma->GetKineticEnergy(), LimitEnergy);
|
|
const G4double* natom = aMaterial->GetVecNbOfAtomsPerVolume();
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|
|
|
G4double sum = 0.;
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|
for (std::size_t i=0; i<NumberOfElements; ++i) {
|
|
elm = (*theElementVector)[i];
|
|
sum += natom[i]*ComputeCrossSectionPerAtom(e, elm->GetZasInt());
|
|
temp[i] = sum;
|
|
}
|
|
sum *= G4UniformRand();
|
|
for (std::size_t i=0; i<NumberOfElements; ++i) {
|
|
if(sum <= temp[i]) {
|
|
elm = (*theElementVector)[i];
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
return elm;
|
|
}
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|
|
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.....
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|
|
|
void G4GammaConversionToMuons::PrintInfoDefinition()
|
|
{
|
|
G4String comments = "gamma->mu+mu- Bethe Heitler process, SubType= ";
|
|
G4cout << G4endl << GetProcessName() << ": " << comments << GetProcessSubType() << G4endl;
|
|
G4cout << " good cross section parametrization from "
|
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<< G4BestUnit(LowestEnergyLimit, "Energy") << " to " << HighestEnergyLimit / GeV
|
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<< " GeV for all Z." << G4endl;
|
|
G4cout << " cross section factor: " << CrossSecFactor << G4endl;
|
|
}
|
|
|
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
|