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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. *
// * By using, copying, modifying or distributing the software (or *
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//
// $Id: G4eeToTwoGammaModel.cc,v 1.12 2006/10/20 08:59:50 vnivanch Exp $
// GEANT4 tag $Name: geant4-08-02 $
//
// -------------------------------------------------------------------
//
// 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 "G4Electron.hh"
#include "G4Positron.hh"
#include "G4Gamma.hh"
#include "Randomize.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();
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4eeToTwoGammaModel::~G4eeToTwoGammaModel()
{}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
void G4eeToTwoGammaModel::Initialise(const G4ParticleDefinition*,
const G4DataVector&)
{}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4double G4eeToTwoGammaModel::ComputeCrossSectionPerElectron(
const G4ParticleDefinition*,
G4double kineticEnergy,
G4double, G4double)
{
// Calculates the cross section per electron of annihilation into two photons
// from the Heilter formula.
G4double tau = kineticEnergy/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.)*log(gam+bg) - (gam+3.)*bg)
/ (bg2*(gam+1.));
return cross;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4double G4eeToTwoGammaModel::ComputeCrossSectionPerAtom(
const G4ParticleDefinition* p,
G4double kineticEnergy, G4double Z,
G4double, G4double, G4double)
{
// Calculates the cross section per atom of annihilation into two photons
G4double cross = Z*ComputeCrossSectionPerElectron(p,kineticEnergy);
return cross;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4double G4eeToTwoGammaModel::CrossSectionPerVolume(
const G4Material* material,
const G4ParticleDefinition* p,
G4double kineticEnergy,
G4double, G4double)
{
// Calculates the cross section per volume of annihilation into two photons
G4double eDensity = material->GetElectronDensity();
G4double cross = eDensity*ComputeCrossSectionPerElectron(p,kineticEnergy);
return cross;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
vector<G4DynamicParticle*>* G4eeToTwoGammaModel::SampleSecondaries(
const G4MaterialCutsCouple*,
const G4DynamicParticle* dp,
G4double,
G4double)
{
vector<G4DynamicParticle*>* vdp = new vector<G4DynamicParticle*>;
G4double PositKinEnergy = dp->GetKineticEnergy();
// Case at rest
if(PositKinEnergy == 0.0) {
G4double cost = 2.*G4UniformRand()-1.;
G4double sint = sqrt((1. - cost)*(1. + cost));
G4double phi = twopi * G4UniformRand();
G4ThreeVector dir (sint*cos(phi), sint*sin(phi), cost);
G4DynamicParticle* aGamma1 = new G4DynamicParticle(theGamma,
dir, electron_mass_c2);
G4DynamicParticle* aGamma2 = new G4DynamicParticle(theGamma,
-dir, electron_mass_c2);
vdp->push_back(aGamma1);
vdp->push_back(aGamma2);
} else {
G4ThreeVector PositDirection = dp->GetMomentumDirection();
G4double tau = PositKinEnergy/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*pow(epsilqot,G4UniformRand());
greject = 1. - epsil + (2.*gam*epsil-1.)/(epsil*tau2*tau2);
} while( greject < G4UniformRand() );
//
// 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)= " << PositKinEnergy
<< " 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 * G4UniformRand();
G4double dirx = sint*cos(phi) , diry = sint*sin(phi) , dirz = cost;
//
// kinematic of the created pair
//
G4double TotalAvailableEnergy = PositKinEnergy + 2.0*electron_mass_c2;
G4double Phot1Energy = epsil*TotalAvailableEnergy;
G4ThreeVector Phot1Direction (dirx, diry, dirz);
Phot1Direction.rotateUz(PositDirection);
G4DynamicParticle* aGamma1 =
new G4DynamicParticle (theGamma,Phot1Direction, Phot1Energy);
vdp->push_back(aGamma1);
G4double Phot2Energy =(1.-epsil)*TotalAvailableEnergy;
G4double PositP= sqrt(PositKinEnergy*(PositKinEnergy+2.*electron_mass_c2));
G4ThreeVector dir = PositDirection*PositP - Phot1Direction*Phot1Energy;
G4ThreeVector Phot2Direction = dir.unit();
// create G4DynamicParticle object for the particle2
G4DynamicParticle* aGamma2=
new G4DynamicParticle (theGamma,Phot2Direction, Phot2Energy);
vdp->push_back(aGamma2);
/*
G4cout << "Annihilation in fly: e0= " << PositKinEnergy
<< " m= " << electron_mass_c2
<< " e1= " << Phot1Energy
<< " e2= " << Phot2Energy << " dir= " << dir
<< " -> " << Phot1Direction << " "
<< Phot2Direction << G4endl;
*/
}
return vdp;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....