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geant4/source/processes/electromagnetic/highenergy/src/G4hPairProductionModel.cc
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//
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//
// $Id: G4hPairProductionModel.cc 74020 2013-09-19 13:38:38Z gcosmo $
//
// -------------------------------------------------------------------
//
// GEANT4 Class file
//
//
// File name: G4hPairProductionModel
//
// Author: Vladimir Ivanchenko on base of G4MuPairProductionModel
//
// Creation date: 28.02.2008
//
// Modifications:
//
//
// Class Description:
//
//
// -------------------------------------------------------------------
//
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#include "G4hPairProductionModel.hh"
#include "G4PhysicalConstants.hh"
#include "G4Log.hh"
#include "G4Exp.hh"
using namespace std;
G4hPairProductionModel::G4hPairProductionModel(const G4ParticleDefinition* p,
const G4String& nam)
: G4MuPairProductionModel(p, nam)
{}
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G4hPairProductionModel::~G4hPairProductionModel()
{}
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G4double G4hPairProductionModel::ComputeDMicroscopicCrossSection(
G4double tkin,
G4double Z,
G4double pairEnergy)
// differential cross section
{
static const G4double bbbtf= 183. ;
static const G4double bbbh = 202.4 ;
static const G4double g1tf = 1.95e-5 ;
static const G4double g2tf = 5.3e-5 ;
static const G4double g1h = 4.4e-5 ;
static const G4double g2h = 4.8e-5 ;
G4double totalEnergy = tkin + particleMass;
G4double residEnergy = totalEnergy - pairEnergy;
G4double massratio = particleMass/electron_mass_c2 ;
G4double massratio2 = massratio*massratio ;
G4double cross = 0.;
G4double c3 = 0.75*sqrte*particleMass;
if (residEnergy <= c3*z13) { return cross; }
G4double c7 = 4.*CLHEP::electron_mass_c2;
G4double c8 = 6.*particleMass*particleMass;
G4double alf = c7/pairEnergy;
G4double a3 = 1. - alf;
if (a3 <= 0.) { return cross; }
// zeta calculation
G4double bbb,g1,g2;
if( Z < 1.5 ) { bbb = bbbh ; g1 = g1h ; g2 = g2h ; }
else { bbb = bbbtf; g1 = g1tf; g2 = g2tf; }
G4double zeta = 0;
G4double zeta1 =
0.073*G4Log(totalEnergy/(particleMass+g1*z23*totalEnergy))-0.26;
if ( zeta1 > 0.)
{
G4double zeta2 =
0.058*G4Log(totalEnergy/(particleMass+g2*z13*totalEnergy))-0.14;
zeta = zeta1/zeta2 ;
}
G4double z2 = Z*(Z+zeta);
G4double screen0 = 2.*electron_mass_c2*sqrte*bbb/(z13*pairEnergy);
G4double a0 = totalEnergy*residEnergy;
G4double a1 = pairEnergy*pairEnergy/a0;
G4double bet = 0.5*a1;
G4double xi0 = 0.25*massratio2*a1;
G4double del = c8/a0;
G4double rta3 = sqrt(a3);
G4double tmnexp = alf/(1. + rta3) + del*rta3;
if(tmnexp >= 1.0) { return cross; }
G4double tmn = G4Log(tmnexp);
G4double sum = 0.;
// Gaussian integration in ln(1-ro) ( with 8 points)
for (G4int i=0; i<8; i++)
{
G4double a4 = G4Exp(tmn*xgi[i]); // a4 = (1.-asymmetry)
G4double a5 = a4*(2.-a4) ;
G4double a6 = 1.-a5 ;
G4double a7 = 1.+a6 ;
G4double a9 = 3.+a6 ;
G4double xi = xi0*a5 ;
G4double xii = 1./xi ;
G4double xi1 = 1.+xi ;
G4double screen = screen0*xi1/a5 ;
G4double yeu = 5.-a6+4.*bet*a7 ;
G4double yed = 2.*(1.+3.*bet)*G4Log(3.+xii)-a6-a1*(2.-a6) ;
G4double ye1 = 1.+yeu/yed ;
G4double ale=G4Log(bbb/z13*sqrt(xi1*ye1)/(1.+screen*ye1)) ;
G4double cre = 0.5*G4Log(1.+2.25*z23*xi1*ye1/massratio2) ;
G4double be;
if (xi <= 1.e3) {
be = ((2.+a6)*(1.+bet)+xi*a9)*G4Log(1.+xii)+(a5-bet)/xi1-a9;
} else {
be = (3.-a6+a1*a7)/(2.*xi);
}
G4double fe = (ale-cre)*be;
if ( fe < 0.) { fe = 0.; }
G4double ymu = 4.+a6 +3.*bet*a7 ;
G4double ymd = a7*(1.5+a1)*G4Log(3.+xi)+1.-1.5*a6 ;
G4double ym1 = 1.+ymu/ymd ;
G4double alm_crm = G4Log(bbb*massratio/(1.5*z23*(1.+screen*ym1)));
G4double a10,bm;
if ( xi >= 1.e-3)
{
a10 = (1.+a1)*a5 ;
bm = (a7*(1.+1.5*bet)-a10*xii)*G4Log(xi1)+xi*(a5-bet)/xi1+a10;
} else {
bm = (5.-a6+bet*a9)*(xi/2.);
}
G4double fm = alm_crm*bm;
if ( fm < 0.) { fm = 0.; }
sum += wgi[i]*a4*(fe+fm/massratio2);
}
cross = -tmn*sum*factorForCross*z2*residEnergy/(totalEnergy*pairEnergy);
return cross;
}
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