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geant4/source/processes/electromagnetic/lowenergy/include/G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy.icc
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// $Id: G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy.icc,v 1.2 2006/06/29 19:34:49 gunter Exp $
// GEANT4 tag $Name: geant4-08-01 $
//
#ifdef G4DNAMILLERANDGREENEXCITATIONTOTALCROSSSECTIONPOLICY_HH
#include "Randomize.hh"
template <typename IncomingParticlePolicy, typename EnergyLimitsPolicy>
G4double G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy<IncomingParticlePolicy, EnergyLimitsPolicy> :: TotalCrossSection(G4double k, G4int z ) const
{
if (k < EnergyLimitsPolicy::lowEnergyLimit)
{
if (EnergyLimitsPolicy::zeroBelowLowEnergyLimit)
return 0;
k=EnergyLimitsPolicy::lowEnergyLimit;
}
else if (k > EnergyLimitsPolicy::highEnergyLimit)
{
if (EnergyLimitsPolicy::zeroAboveHighEnergyLimit)
return 0;
k=EnergyLimitsPolicy::highEnergyLimit;
}
G4int i(5);
G4double totalCrossSection(0.);
while (i>0)
{
i--;
totalCrossSection+=PartialCrossSection(k, z, i);
}
return totalCrossSection;
}
template <typename IncomingParticlePolicy, typename EnergyLimitsPolicy>
G4int G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy<IncomingParticlePolicy, EnergyLimitsPolicy> :: RandomizePartialCrossSection(G4double k, G4int z) const
{
G4int i(5);
G4double values[5];
G4double value(0);
while (i>0)
{
i--;
values[i]=PartialCrossSection(k, z, i);
value+=values[i];
}
value*=G4UniformRand();
i=5;
while (i>0)
{
i--;
if (values[i]>value)
return i;
value-=values[i];
}
return 0;
}
template <typename IncomingParticlePolicy, typename EnergyLimitsPolicy>
G4double G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy<IncomingParticlePolicy, EnergyLimitsPolicy> :: EnergyConstant(G4int excitationLevelIndex) const
{
const G4double ej[]={8.17*eV, 10.13*eV, 11.31*eV, 12.91*eV, 14.50*eV};
return ej[excitationLevelIndex];
}
template <typename IncomingParticlePolicy, typename EnergyLimitsPolicy>
G4double G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy<IncomingParticlePolicy, EnergyLimitsPolicy> :: PartialCrossSection(G4double t, G4int z, G4int excitationLevelIndex) const
{
// ( ( z * aj ) ^ omegaj ) * ( t - ej ) ^ nu
// sigma(t) = zEff^2 * sigma0 * --------------------------------------------
// jj ^ ( omegaj + nu ) + t ^ ( omegaj + nu )
//
// where t is the kinetic energy corrected by Helium mass over proton mass for Helium ions
//
// zEff is:
// 1 for protons
// 2 for alpha++
// and 2 - c1 S_1s - c2 S_2s - c3 S_2p for alpha+ and He
//
// Dingfelder et al., RPC 59 p. 266 (2000) from Miller and Green (1973)
const G4double sigma0(1.E+8 * barn);
const G4double nu(1.);
const G4double aj[]={876.*eV, 2084.*eV, 1373.*eV, 692.*eV, 900.*eV};
const G4double jj[]={19820.*eV, 23490.*eV, 27770.*eV, 30830.*eV, 33080.*eV};
const G4double omegaj[]={0.85, 0.88, 0.88, 0.78, 0.78};
G4double tCorrected;
tCorrected=t*IncomingParticlePolicy::kineticEnergyCorrection;
G4double numerator;
numerator=std::pow(z*aj[excitationLevelIndex], omegaj[excitationLevelIndex]) * std::pow(tCorrected - EnergyConstant(excitationLevelIndex), nu);
G4double power;
power=omegaj[excitationLevelIndex]+nu;
G4double denominator;
denominator=std::pow(jj[excitationLevelIndex], power) + std::pow(tCorrected, power);
G4ParticleDefinition const * particle(IncomingParticlePolicy::IncomingParticleDefinition());
G4double zEff=particle->GetPDGCharge()/eplus+particle->GetLeptonNumber();
zEff-=( IncomingParticlePolicy::sCoefficient[0]*S_1s(t, EnergyConstant(excitationLevelIndex), IncomingParticlePolicy::slaterEffectiveCharge[0], 1.) +
IncomingParticlePolicy::sCoefficient[1]*S_2s(t, EnergyConstant(excitationLevelIndex), IncomingParticlePolicy::slaterEffectiveCharge[1], 2.) +
IncomingParticlePolicy::sCoefficient[2]*S_2p(t, EnergyConstant(excitationLevelIndex), IncomingParticlePolicy::slaterEffectiveCharge[2], 2.) );
return sigma0 * zEff * zEff * numerator / denominator;
}
template <typename IncomingParticlePolicy, typename EnergyLimitsPolicy>
G4double G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy<IncomingParticlePolicy, EnergyLimitsPolicy> :: S_1s(G4double t, G4double energyTransferred, G4double slaterEffectiveCharge, G4double shellNumber) const
{
// 1 - e^(-2r) * ( 1 + 2 r + 2 r^2)
G4double r(R(t, energyTransferred, slaterEffectiveCharge, shellNumber));
return 1.-std::exp(-2*r) * ( ( 2. * r + 2. ) * r + 1. );
}
template <typename IncomingParticlePolicy, typename EnergyLimitsPolicy>
G4double G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy<IncomingParticlePolicy, EnergyLimitsPolicy> :: S_2s(G4double t, G4double energyTransferred, G4double slaterEffectiveCharge, G4double shellNumber) const
{
// 1 - e^(-2 r) * ( 1 + 2 r + 2 r^2 + 2 r^4)
G4double r(R(t, energyTransferred, slaterEffectiveCharge, shellNumber));
return 1.-std::exp(-2*r) * ( ( ( 2. * r * r + 2. ) * r + 2. ) * r + 1. );
}
template <typename IncomingParticlePolicy, typename EnergyLimitsPolicy>
G4double G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy<IncomingParticlePolicy, EnergyLimitsPolicy> :: S_2p(G4double t, G4double energyTransferred, G4double slaterEffectiveCharge, G4double shellNumber) const
{
// 1 - e^(-2 r) * ( 1 + 2 r + 2 r^2 + 4/3 r^3 + 2/3 r^4)
G4double r(R(t, energyTransferred, slaterEffectiveCharge, shellNumber));
return 1.-std::exp(-2*r) * ( ( ( ( 2./3. * r + 4./3. ) * r + 2. ) * r + 2. ) * r + 1. );
}
template <typename IncomingParticlePolicy, typename EnergyLimitsPolicy>
G4double G4DNAMillerAndGreenExcitationTotalCrossSectionPolicy<IncomingParticlePolicy, EnergyLimitsPolicy> :: R(G4double t, G4double energyTransferred, G4double slaterEffectiveCharge, G4double shellNumber) const
{
// tElectron = m_electron / m_alpha * t
G4double tElectron = 0.511/3728 * t;
return 2.*tElectron*slaterEffectiveCharge/(energyTransferred*shellNumber);
}
#endif /* G4DNAMILLERANDGREENEXCITATIONTOTALCROSSSECTIONPOLICY_HH */