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geant4/source/processes/hadronic/models/coherent_elastic/src/G4NeutrinoElectronNcModel.cc
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//
// ********************************************************************
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// * technical work of the GEANT4 collaboration. *
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//
//
// Geant4 Header : G4NeutrinoElectronNcModel
//
// Author : V.Grichine 6.4.17
//
#include "G4NeutrinoElectronNcModel.hh"
#include "G4SystemOfUnits.hh"
#include "G4ParticleTable.hh"
#include "G4ParticleDefinition.hh"
#include "G4IonTable.hh"
#include "Randomize.hh"
#include "G4Electron.hh"
#include "G4HadronicParameters.hh"
#include "G4PhysicsModelCatalog.hh"
using namespace std;
using namespace CLHEP;
G4NeutrinoElectronNcModel::G4NeutrinoElectronNcModel(const G4String& name)
: G4HadronElastic(name)
{
secID = G4PhysicsModelCatalog::GetModelID( "model_" + name );
SetMinEnergy( 0.0*GeV );
SetMaxEnergy( G4HadronicParameters::Instance()->GetMaxEnergy() );
SetLowestEnergyLimit(1.e-6*eV);
theElectron = G4Electron::Electron();
// PDG2016: sin^2 theta Weinberg
fSin2tW = 0.23129; // 0.2312;
fCutEnergy = 0.; // default value
}
G4NeutrinoElectronNcModel::~G4NeutrinoElectronNcModel()
{}
void G4NeutrinoElectronNcModel::ModelDescription(std::ostream& outFile) const
{
outFile << "G4NeutrinoElectronNcModel is a neutrino-electron (neutral current) elastic scattering\n"
<< "model which uses the standard model \n"
<< "transfer parameterization. The model is fully relativistic\n";
}
/////////////////////////////////////////////////////////
G4bool G4NeutrinoElectronNcModel::IsApplicable(const G4HadProjectile & aTrack,
G4Nucleus & targetNucleus)
{
G4bool result = false;
G4String pName = aTrack.GetDefinition()->GetParticleName();
G4double minEnergy = 0., energy = aTrack.GetTotalEnergy();
if( fCutEnergy > 0. ) // min detected recoil electron energy
{
minEnergy = 0.5*(fCutEnergy+sqrt(fCutEnergy*(fCutEnergy+2.*electron_mass_c2)));
}
if( ( pName == "nu_e" || pName == "anti_nu_e" ||
pName == "nu_mu" || pName == "anti_nu_nu" ||
pName == "nu_tau" || pName == "anti_nu_tau" ) &&
energy > minEnergy )
{
result = true;
}
G4int Z = targetNucleus.GetZ_asInt();
Z *= 1;
return result;
}
////////////////////////////////////////////////
//
//
G4HadFinalState* G4NeutrinoElectronNcModel::ApplyYourself(
const G4HadProjectile& aTrack, G4Nucleus& targetNucleus)
{
theParticleChange.Clear();
const G4HadProjectile* aParticle = &aTrack;
G4double nuTkin = aParticle->GetKineticEnergy();
if( nuTkin <= LowestEnergyLimit() )
{
theParticleChange.SetEnergyChange(nuTkin);
theParticleChange.SetMomentumChange(aTrack.Get4Momentum().vect().unit());
return &theParticleChange;
}
// sample and make final state in lab frame
G4double eTkin = SampleElectronTkin( aParticle );
if( eTkin > fCutEnergy )
{
G4double ePlab = sqrt( eTkin*(eTkin + 2.*electron_mass_c2) );
G4double cost2 = eTkin*(nuTkin + electron_mass_c2)*(nuTkin + electron_mass_c2);
cost2 /= nuTkin*nuTkin*(eTkin + 2.*electron_mass_c2);
if( cost2 > 1. ) cost2 = 1.;
if( cost2 < 0. ) cost2 = 0.;
G4double cost = sqrt(cost2);
G4double sint = std::sqrt( (1.0 - cost)*(1.0 + cost) );
G4double phi = G4UniformRand()*CLHEP::twopi;
G4ThreeVector eP( sint*std::cos(phi), sint*std::sin(phi), cost );
eP *= ePlab;
G4LorentzVector lvt2( eP, eTkin + electron_mass_c2 );
G4DynamicParticle * aSec = new G4DynamicParticle( theElectron, lvt2 );
theParticleChange.AddSecondary( aSec, secID );
G4LorentzVector lvp1 = aParticle->Get4Momentum();
G4LorentzVector lvt1(0.,0.,0.,electron_mass_c2);
G4LorentzVector lvsum = lvp1+lvt1;
G4LorentzVector lvp2 = lvsum-lvt2;
G4double nuTkin2 = lvp2.e()-aParticle->GetDefinition()->GetPDGMass();
theParticleChange.SetEnergyChange(nuTkin2);
theParticleChange.SetMomentumChange(lvp2.vect().unit());
}
else if( eTkin > 0.0 )
{
theParticleChange.SetLocalEnergyDeposit( eTkin );
nuTkin -= eTkin;
if( nuTkin > 0. )
{
theParticleChange.SetEnergyChange( nuTkin );
theParticleChange.SetMomentumChange( aTrack.Get4Momentum().vect().unit() );
}
}
else
{
theParticleChange.SetEnergyChange( nuTkin );
theParticleChange.SetMomentumChange( aTrack.Get4Momentum().vect().unit() );
}
G4int Z = targetNucleus.GetZ_asInt();
Z *= 1;
return &theParticleChange;
}
//////////////////////////////////////////////////////
//
// sample recoil electron energy in lab frame
G4double G4NeutrinoElectronNcModel::SampleElectronTkin(const G4HadProjectile* aParticle)
{
G4double result = 0., xi, cofL, cofR, cofL2, cofR2, cofLR;
G4double energy = aParticle->GetTotalEnergy();
if( energy == 0.) return result; // vmg: < th?? as in xsc
G4String pName = aParticle->GetDefinition()->GetParticleName();
if( pName == "nu_e")
{
cofL = 0.5 + fSin2tW;
cofR = fSin2tW;
}
else if( pName == "anti_nu_e")
{
cofL = fSin2tW;
cofR = 0.5 + fSin2tW;
}
else if( pName == "nu_mu")
{
cofL = -0.5 + fSin2tW;
cofR = fSin2tW;
}
else if( pName == "anti_nu_mu")
{
cofL = fSin2tW;
cofR = -0.5 + fSin2tW;
}
else if( pName == "nu_tau") // vmg: nu_tau as nu_mu ???
{
cofL = -0.5 + fSin2tW;
cofR = fSin2tW;
}
else if( pName == "anti_nu_tau")
{
cofL = fSin2tW;
cofR = -0.5 + fSin2tW;
}
else
{
return result;
}
xi = 0.5*electron_mass_c2/energy;
cofL2 = cofL*cofL;
cofR2 = cofR*cofR;
cofLR = cofL*cofR;
// cofs of Tkin/Enu 3rd equation
G4double a = cofR2/3.;
G4double b = -(cofR2+cofLR*xi);
G4double c = cofL2+cofR2;
G4double xMax = 1./(1. + xi);
G4double xMax2 = xMax*xMax;
G4double xMax3 = xMax*xMax2;
G4double d = -( a*xMax3 + b*xMax2 + c*xMax );
d *= G4UniformRand();
// G4cout<<a<<" "<<b<<" "<<c<<" "<<d<<G4endl<<G4endl;
// cofs of the incomplete 3rd equation
G4double p = c/a;
p -= b*b/a/a/3.;
G4double q = d/a;
q -= b*c/a/a/3.;
q += 2*b*b*b/a/a/a/27.;
// cofs for the incomplete colutions
G4double D = p*p*p/3./3./3.;
D += q*q/2./2.;
// G4cout<<"D = "<<D<<G4endl;
// D = -D;
// G4complex A1 = G4complex(- q/2., std::sqrt(-D) );
// G4complex A = std::pow(A1,1./3.);
// G4complex B1 = G4complex(- q/2., -std::sqrt(-D) );
// G4complex B = std::pow(B1,1./3.);
G4double A1 = - q/2. + std::sqrt(D);
G4double A = std::pow(A1,1./3.);
G4double B1 = - q/2. - std::sqrt(D);
G4double B = std::pow(-B1,1./3.);
B = -B;
// roots of the incomplete 3rd equation
G4complex y1 = A + B;
// G4complex y2 = -0.5*(A + B) + 0.5*std::sqrt(3.)*(A - B)*G4complex(0.,1.);
// G4complex y3 = -0.5*(A + B) - 0.5*std::sqrt(3.)*(A - B)*G4complex(0.,1.);
G4complex x1 = y1 - b/a/3.;
// G4complex x2 = y2 - b/a/3.;
// G4complex x3 = y3 - b/a/3.;
// G4cout<<"re_x1 = "<<real(x1)<<"; re_x2 = "<<real(x2)<<"; re_x3 = "<<real(x3)<<G4endl;
// G4cout<<"im_x1 = "<<imag(x1)<<"; im_x2 = "<<imag(x2)<<"; im_x3 = "<<imag(x3)<<G4endl<<G4endl;
result = real(x1)*energy;
return result;
}
//
//
///////////////////////////