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Gabriele Cosmo
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//
// ********************************************************************
// * DISCLAIMER *
// * *
// * The following disclaimer summarizes all the specific disclaimers *
// * of contributors to this software. The specific disclaimers,which *
// * govern, are listed with their locations in: *
// * http://cern.ch/geant4/license *
// * *
// * Neither the authors of this software system, nor their employing *
// * institutes,nor the agencies providing financial support for this *
// * work make any representation or warranty, express or implied, *
// * regarding this software system or assume any liability for its *
// * use. *
// * *
// * This code implementation is the intellectual property of the *
// * GEANT4 collaboration. *
// * By copying, distributing or modifying the Program (or any work *
// * based on the Program) you indicate your acceptance of this *
// * statement, and all its terms. *
// ********************************************************************
//
// $Id: G4eeToTwoGammaModel.cc,v 1.4 2004/12/01 19:37:15 vnivanch Exp $
// GEANT4 tag $Name: geant4-07-00-cand-03 $
//
// -------------------------------------------------------------------
//
// GEANT4 Class file
//
//
// File name: G4eeToTwoGammaModel
//
// Author: Vladimir Ivanchenko on base of Michel Maire code
//
// Creation date: 02.08.2004
//
// Modifications:
//
//
// 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),
highKinEnergy(10.*TeV),
lowKinEnergy(0.1*keV),
pi_rcl2(pi*classic_electr_radius*classic_electr_radius)
{
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4eeToTwoGammaModel::~G4eeToTwoGammaModel()
{}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4eeToTwoGammaModel::HighEnergyLimit(const G4ParticleDefinition*)
{
return highKinEnergy;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4eeToTwoGammaModel::LowEnergyLimit(const G4ParticleDefinition*)
{
return lowKinEnergy;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4eeToTwoGammaModel::MinEnergyCut(const G4ParticleDefinition*,
const G4MaterialCutsCouple*)
{
return 0.0;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4bool G4eeToTwoGammaModel::IsInCharge(const G4ParticleDefinition* p)
{
return (p == G4Positron::Positron());
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
void G4eeToTwoGammaModel::Initialise(const G4ParticleDefinition*,
const G4DataVector&)
{}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4eeToTwoGammaModel::ComputeDEDX(const G4MaterialCutsCouple*,
const G4ParticleDefinition*,
G4double,
G4double)
{
return 0.0;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4eeToTwoGammaModel::CrossSection(const G4MaterialCutsCouple* couple,
const G4ParticleDefinition*,
G4double kineticEnergy,
G4double,
G4double)
{
// Calculates the cross section per atom of annihilation into two photons
// from the Heilter formula.
const G4Material* material = couple->GetMaterial();
G4double eDensity = material->GetElectronDensity();
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*eDensity*((gamma2+4*gam+1.)*log(gam+bg) - (gam+3.)*bg)
/ (bg2*(gam+1.));
return cross;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4DynamicParticle* G4eeToTwoGammaModel::SampleSecondary(
const G4MaterialCutsCouple*,
const G4DynamicParticle*,
G4double,
G4double)
{
return 0;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
vector<G4DynamicParticle*>* G4eeToTwoGammaModel::SampleSecondaries(
const G4MaterialCutsCouple*,
const G4DynamicParticle* dp,
G4double,
G4double)
{
G4double PositKinEnergy = dp->GetKineticEnergy();
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);
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;
vector<G4DynamicParticle*>* vdp = new vector<G4DynamicParticle*>;
G4ThreeVector Phot1Direction (dirx, diry, dirz);
Phot1Direction.rotateUz(PositDirection);
G4DynamicParticle* aParticle1 = new G4DynamicParticle (G4Gamma::Gamma(),
Phot1Direction, Phot1Energy);
vdp->push_back(aParticle1);
G4double Phot2Energy =(1.-epsil)*TotalAvailableEnergy;
G4double Eratio= Phot1Energy/Phot2Energy;
G4double PositP= sqrt(PositKinEnergy*(PositKinEnergy+2.*electron_mass_c2));
G4ThreeVector Phot2Direction (-dirx*Eratio, -diry*Eratio,
(PositP-dirz*Phot1Energy)/Phot2Energy);
Phot2Direction.unit();
Phot2Direction.rotateUz(PositDirection);
// create G4DynamicParticle object for the particle2
G4DynamicParticle* aParticle2= new G4DynamicParticle (G4Gamma::Gamma(),
Phot2Direction, Phot2Energy);
vdp->push_back(aParticle2);
return vdp;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....