G4eeToTwoGammaModel.cc

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//
// -------------------------------------------------------------------
//
// GEANT4 Class file
//
//
// File name:   G4eeToTwoGammaModel
//
// Author:        Vladimir Ivanchenko on base of Michel Maire code
//
// Creation date: 02.08.2004
//
// Modifications:
// 08-04-05 Major optimisation of internal interfaces (V.Ivanchenko)
// 18-04-05 Compute CrossSectionPerVolume (V.Ivanchenko)
// 06-02-06 ComputeCrossSectionPerElectron, ComputeCrossSectionPerAtom (mma)
// 29-06-06 Fix problem for zero energy incident positron (V.Ivanchenko) 
// 20-10-06 Add theGamma as a member (V.Ivanchenko)
// 18-01-20 Introduce thermal model of annihilation at rest (J.Allison)
//
//
// Class Description:
//
// Implementation of e+ annihilation into 2 gamma
//
// The secondaries Gamma energies are sampled using the Heitler cross section.
//
// A modified version of the random number techniques of Butcher & Messel
// is used (Nuc Phys 20(1960),15).
//
// GEANT4 internal units.
//
// Note 1: The initial electron is assumed free and at rest if atomic PDF 
//         is not defined
//
// Note 2: The annihilation processes producing one or more than two photons are
//         ignored, as negligible compared to the two photons process.
 
//
// -------------------------------------------------------------------
//
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#include "G4eeToTwoGammaModel.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4TrackStatus.hh"
#include "G4Electron.hh"
#include "G4Positron.hh"
#include "G4Gamma.hh"
#include "Randomize.hh"
#include "G4RandomDirection.hh"
#include "G4ParticleChangeForGamma.hh"
#include "G4EmParameters.hh"
#include "G4Log.hh"
#include "G4Exp.hh"
 
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G4eeToTwoGammaModel::G4eeToTwoGammaModel(const G4ParticleDefinition*,
                                         const G4String& nam)
  : G4VEmModel(nam),
    pi_rcl2(CLHEP::pi*CLHEP::classic_electr_radius*CLHEP::classic_electr_radius)
{
  theGamma = G4Gamma::Gamma();
  fParticleChange = nullptr;
}
 
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G4eeToTwoGammaModel::~G4eeToTwoGammaModel() = default;
 
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void G4eeToTwoGammaModel::Initialise(const G4ParticleDefinition*,
                                     const G4DataVector&)
{
  if (nullptr != fParticleChange) { return; }
  fParticleChange = GetParticleChangeForGamma();
}
 
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G4double 
G4eeToTwoGammaModel::ComputeCrossSectionPerElectron(G4double kineticEnergy)
{
  // Calculates the cross section per electron of annihilation into two photons
  // from the Heilter formula.
 
  G4double ekin  = std::max(CLHEP::eV, kineticEnergy);
 
  G4double tau   = ekin/CLHEP::electron_mass_c2;
  G4double gam   = tau + 1.0;
  G4double gamma2= gam*gam;
  G4double bg2   = tau * (tau+2.0);
  G4double bg    = std::sqrt(bg2);
 
  G4double cross = pi_rcl2*((gamma2+4*gam+1.)*G4Log(gam+bg) - (gam+3.)*bg)
                 / (bg2*(gam+1.));
  return cross;  
}
 
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G4double G4eeToTwoGammaModel::ComputeCrossSectionPerAtom(
                                    const G4ParticleDefinition*,
                                    G4double kineticEnergy, G4double Z,
                    G4double, G4double, G4double)
{
  // Calculates the cross section per atom of annihilation into two photons
  return Z*ComputeCrossSectionPerElectron(kineticEnergy);  
}
 
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G4double G4eeToTwoGammaModel::CrossSectionPerVolume(
                    const G4Material* material,
                    const G4ParticleDefinition*,
                          G4double kineticEnergy,
                          G4double, G4double)
{
  // Calculates the cross section per volume of annihilation into two photons
  return material->GetElectronDensity()*ComputeCrossSectionPerElectron(kineticEnergy);
}
 
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// Polarisation of gamma according to M.H.L.Pryce and J.C.Ward,
// Nature 4065 (1947) 435.
 
void G4eeToTwoGammaModel::SampleSecondaries(std::vector<G4DynamicParticle*>* vdp,
                        const G4MaterialCutsCouple*,
                        const G4DynamicParticle* dp,
                        G4double,
                        G4double)
{
  // kill primary positron
  fParticleChange->SetProposedKineticEnergy(0.0);
  fParticleChange->ProposeTrackStatus(fStopAndKill);
 
  // Case at rest not considered anymore inside this model
  G4LorentzVector lv(dp->GetMomentum(),
             dp->GetKineticEnergy() + 2*CLHEP::electron_mass_c2);
  G4double eGammaCMS = 0.5 * lv.mag();
 
  G4ThreeVector dir1 = G4RandomDirection();
  G4double phi = CLHEP::twopi * G4UniformRand();
  G4double cosphi = std::cos(phi);
  G4double sinphi = std::sin(phi);
  G4ThreeVector pol1(cosphi, sinphi, 0.0);
  pol1.rotateUz(dir1);
  G4LorentzVector lv1(eGammaCMS*dir1, eGammaCMS);
  
  G4ThreeVector pol2(-sinphi, cosphi, 0.0);
  pol2.rotateUz(dir1);
 
  // transformation to lab system
  lv1.boost(lv.boostVector());
  lv -= lv1;
 
  //!!! boost of polarisation vector is not yet implemented
  
  // use constructors optimal for massless particle
  auto aGamma1 = new G4DynamicParticle(G4Gamma::Gamma(), lv1.vect());
  aGamma1->SetPolarization(pol1);
  auto aGamma2 = new G4DynamicParticle(G4Gamma::Gamma(), lv.vect());
  aGamma2->SetPolarization(pol2);
 
  vdp->push_back(aGamma1);
  vdp->push_back(aGamma2);
}
 
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