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geant4/source/processes/electromagnetic/standard/src/G4eeToTwoGammaModel.cc
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//
// ********************************************************************
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// * *
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// * This code implementation is the result of the scientific and *
// * technical work of the GEANT4 collaboration. *
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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)
//
//
// 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.
//
// Note 2: The annihilation processes producing one or more than two photons are
// ignored, as negligible compared to the two photons process.
//
// -------------------------------------------------------------------
//
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
#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 "G4ParticleChangeForGamma.hh"
#include "G4Log.hh"
#include "G4Exp.hh"
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
using namespace std;
G4eeToTwoGammaModel::G4eeToTwoGammaModel(const G4ParticleDefinition*,
const G4String& nam)
: G4VEmModel(nam),
pi_rcl2(pi*classic_electr_radius*classic_electr_radius)
{
theGamma = G4Gamma::Gamma();
fParticleChange = nullptr;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4eeToTwoGammaModel::~G4eeToTwoGammaModel()
{}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
void G4eeToTwoGammaModel::Initialise(const G4ParticleDefinition*,
const G4DataVector&)
{
if(fParticleChange) { return; }
fParticleChange = GetParticleChangeForGamma();
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4double
G4eeToTwoGammaModel::ComputeCrossSectionPerElectron(G4double kineticEnergy)
{
// Calculates the cross section per electron of annihilation into two photons
// from the Heilter formula.
G4double ekin = std::max(eV,kineticEnergy);
G4double tau = ekin/electron_mass_c2;
G4double gam = tau + 1.0;
G4double gamma2= gam*gam;
G4double bg2 = tau * (tau+2.0);
G4double bg = sqrt(bg2);
G4double cross = pi_rcl2*((gamma2+4*gam+1.)*G4Log(gam+bg) - (gam+3.)*bg)
/ (bg2*(gam+1.));
return cross;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4double G4eeToTwoGammaModel::ComputeCrossSectionPerAtom(
const G4ParticleDefinition*,
G4double kineticEnergy, G4double Z,
G4double, G4double, G4double)
{
// Calculates the cross section per atom of annihilation into two photons
G4double cross = Z*ComputeCrossSectionPerElectron(kineticEnergy);
return cross;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4double G4eeToTwoGammaModel::CrossSectionPerVolume(
const G4Material* material,
const G4ParticleDefinition*,
G4double kineticEnergy,
G4double, G4double)
{
// Calculates the cross section per volume of annihilation into two photons
G4double eDensity = material->GetElectronDensity();
G4double cross = eDensity*ComputeCrossSectionPerElectron(kineticEnergy);
return cross;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
// Polarisation of gamma according to M.H.L.Pryce and J.C.Ward,
// Nature 4065 (1947) 435.
void G4eeToTwoGammaModel::SampleSecondaries(vector<G4DynamicParticle*>* vdp,
const G4MaterialCutsCouple*,
const G4DynamicParticle* dp,
G4double,
G4double)
{
G4double posiKinEnergy = dp->GetKineticEnergy();
G4DynamicParticle *aGamma1, *aGamma2;
CLHEP::HepRandomEngine* rndmEngine = G4Random::getTheEngine();
// Case at rest
if(posiKinEnergy == 0.0) {
G4double cost = 2.*rndmEngine->flat()-1.;
G4double sint = sqrt((1. - cost)*(1. + cost));
G4double phi = twopi * rndmEngine->flat();
G4ThreeVector dir(sint*cos(phi), sint*sin(phi), cost);
phi = twopi * rndmEngine->flat();
G4double cosphi = cos(phi);
G4double sinphi = sin(phi);
G4ThreeVector pol(cosphi, sinphi, 0.0);
pol.rotateUz(dir);
aGamma1 = new G4DynamicParticle(theGamma, dir, electron_mass_c2);
aGamma1->SetPolarization(pol.x(),pol.y(),pol.z());
aGamma2 = new G4DynamicParticle(theGamma,-dir, electron_mass_c2);
pol.set(-sinphi, cosphi, 0.0);
pol.rotateUz(dir);
aGamma2->SetPolarization(pol.x(),pol.y(),pol.z());
/*
G4cout << "Annihilation at rest fly: e0= " << " dir= " << dir
<< G4endl;
*/
} else {
G4ThreeVector posiDirection = dp->GetMomentumDirection();
G4double tau = posiKinEnergy/electron_mass_c2;
G4double gam = tau + 1.0;
G4double tau2 = tau + 2.0;
G4double sqgrate = sqrt(tau/tau2)*0.5;
G4double sqg2m1 = sqrt(tau*tau2);
// limits of the energy sampling
G4double epsilmin = 0.5 - sqgrate;
G4double epsilmax = 0.5 + sqgrate;
G4double epsilqot = epsilmax/epsilmin;
//
// sample the energy rate of the created gammas
//
G4double epsil, greject;
do {
epsil = epsilmin*G4Exp(G4Log(epsilqot)*rndmEngine->flat());
greject = 1. - epsil + (2.*gam*epsil-1.)/(epsil*tau2*tau2);
// Loop checking, 03-Aug-2015, Vladimir Ivanchenko
} while( greject < rndmEngine->flat());
//
// scattered Gamma angles. ( Z - axis along the parent positron)
//
G4double cost = (epsil*tau2-1.)/(epsil*sqg2m1);
if(std::abs(cost) > 1.0) {
G4cout << "### G4eeToTwoGammaModel WARNING cost= " << cost
<< " positron Ekin(MeV)= " << posiKinEnergy
<< " gamma epsil= " << epsil
<< G4endl;
if(cost > 1.0) cost = 1.0;
else cost = -1.0;
}
G4double sint = sqrt((1.+cost)*(1.-cost));
G4double phi = twopi * rndmEngine->flat();
//
// kinematic of the created pair
//
G4double totalEnergy = posiKinEnergy + 2.0*electron_mass_c2;
G4double phot1Energy = epsil*totalEnergy;
G4ThreeVector phot1Direction(sint*cos(phi), sint*sin(phi), cost);
phot1Direction.rotateUz(posiDirection);
aGamma1 = new G4DynamicParticle (theGamma,phot1Direction, phot1Energy);
phi = twopi * rndmEngine->flat();
G4double cosphi = cos(phi);
G4double sinphi = sin(phi);
G4ThreeVector pol(cosphi, sinphi, 0.0);
pol.rotateUz(phot1Direction);
aGamma1->SetPolarization(pol.x(),pol.y(),pol.z());
G4double phot2Energy =(1.-epsil)*totalEnergy;
G4double posiP= sqrt(posiKinEnergy*(posiKinEnergy+2.*electron_mass_c2));
G4ThreeVector dir = posiDirection*posiP - phot1Direction*phot1Energy;
G4ThreeVector phot2Direction = dir.unit();
// create G4DynamicParticle object for the particle2
aGamma2 = new G4DynamicParticle (theGamma, phot2Direction, phot2Energy);
//!!! likely problematic direction to be checked
pol.set(-sinphi, cosphi, 0.0);
pol.rotateUz(phot1Direction);
cost = pol*phot2Direction;
pol -= cost*phot2Direction;
pol = pol.unit();
aGamma2->SetPolarization(pol.x(),pol.y(),pol.z());
/*
G4cout << "Annihilation on fly: e0= " << posiKinEnergy
<< " m= " << electron_mass_c2
<< " e1= " << phot1Energy
<< " e2= " << phot2Energy << " dir= " << dir
<< " -> " << phot1Direction << " "
<< phot2Direction << G4endl;
*/
}
vdp->push_back(aGamma1);
vdp->push_back(aGamma2);
// kill primary positron
fParticleChange->SetProposedKineticEnergy(0.0);
fParticleChange->ProposeTrackStatus(fStopAndKill);
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....