Gabriele Cosmo
787 lines
25 KiB
C++
787 lines
25 KiB
C++
//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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// 24.11.08 V. Grichine - first implementation
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// 25.10.12 W.Pokorski - following Vladimir's advice, I removed Z>1 condition
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//
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#include "G4GGNuclNuclCrossSection.hh"
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#include "G4PhysicalConstants.hh"
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#include "G4SystemOfUnits.hh"
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#include "G4ParticleTable.hh"
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#include "G4IonTable.hh"
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#include "G4ParticleDefinition.hh"
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#include "G4HadTmpUtil.hh"
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#include "G4HadronNucleonXsc.hh"
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// factory
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#include "G4CrossSectionFactory.hh"
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//
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G4_DECLARE_XS_FACTORY(G4GGNuclNuclCrossSection);
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G4GGNuclNuclCrossSection::G4GGNuclNuclCrossSection()
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: G4VCrossSectionDataSet(Default_Name()),
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// fUpperLimit(100000*GeV),
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fLowerLimit(0.1*MeV),
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fRadiusConst(1.08*fermi), // 1.1, 1.3 ?
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fTotalXsc(0.0), fElasticXsc(0.0), fInelasticXsc(0.0), fProductionXsc(0.0),
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fDiffractionXsc(0.0)
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// , fHadronNucleonXsc(0.0)
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{
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theProton = G4Proton::Proton();
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theNeutron = G4Neutron::Neutron();
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hnXsc = new G4HadronNucleonXsc();
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}
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G4GGNuclNuclCrossSection::~G4GGNuclNuclCrossSection()
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{
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delete hnXsc;
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}
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void
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G4GGNuclNuclCrossSection::CrossSectionDescription(std::ostream& outFile) const
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{
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outFile << "G4GGNuclNuclCrossSection calculates total, inelastic and\n"
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<< "elastic cross sections for nucleus-nucleus collisions using\n"
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<< "the Glauber model with Gribov corrections. It is valid for\n"
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<< "all incident energies above 100 keV./n";
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}
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G4bool
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G4GGNuclNuclCrossSection::IsElementApplicable(const G4DynamicParticle*,
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G4int, const G4Material*)
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{
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G4bool applicable = true;
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// G4double kineticEnergy = aDP->GetKineticEnergy();
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// if (kineticEnergy >= fLowerLimit) applicable = true;
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return applicable;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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// Calculates total and inelastic Xsc, derives elastic as total - inelastic
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// accordong to Glauber model with Gribov correction calculated in the dipole
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// approximation on light cone. Gaussian density helps to calculate rest
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// integrals of the model. [1] B.Z. Kopeliovich, nucl-th/0306044
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G4double G4GGNuclNuclCrossSection::
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GetElementCrossSection(const G4DynamicParticle* aParticle, G4int Z,
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const G4Material*)
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{
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G4int A = G4lrint(G4NistManager::Instance()->GetAtomicMassAmu(Z));
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return GetZandACrossSection(aParticle, Z, A);
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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// Calculates total and inelastic Xsc, derives elastic as total - inelastic
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// accordong to Glauber model with Gribov correction calculated in the dipole
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// approximation on light cone. Gaussian density of point-like nucleons helps
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// to calculate rest integrals of the model. [1] B.Z. Kopeliovich,
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// nucl-th/0306044 + simplification above
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G4double G4GGNuclNuclCrossSection::
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GetZandACrossSection(const G4DynamicParticle* aParticle,
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G4int tZ, G4int tA)
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{
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G4double xsection;
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G4double sigma;
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G4double cofInelastic = 2.4;
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G4double cofTotal = 2.0;
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G4double nucleusSquare;
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G4double cB;
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G4double ratio;
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G4double pZ = aParticle->GetDefinition()->GetPDGCharge();
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G4double pA = aParticle->GetDefinition()->GetBaryonNumber();
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G4double pTkin = aParticle->GetKineticEnergy();
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pTkin /= pA;
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G4double pN = pA - pZ;
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if( pN < 0. ) pN = 0.;
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G4double tN = tA - tZ;
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if( tN < 0. ) tN = 0.;
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G4double tR = GetNucleusRadius( G4double(tZ),G4double(tA) );
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G4double pR = GetNucleusRadius(pZ,pA);
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cB = GetCoulombBarier(aParticle, G4double(tZ), G4double(tA), pR, tR);
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if ( cB > 0. )
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{
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G4DynamicParticle* dProton = new G4DynamicParticle(theProton,
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G4ParticleMomentum(1.,0.,0.),
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pTkin);
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G4DynamicParticle* dNeutron = new G4DynamicParticle(theNeutron,
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G4ParticleMomentum(1.,0.,0.),
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pTkin);
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sigma = (pZ*tZ+pN*tN)*hnXsc->GetHadronNucleonXscNS(dProton, theProton);
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G4double ppInXsc = hnXsc->GetInelasticHadronNucleonXsc();
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sigma += (pZ*tN+pN*tZ)*hnXsc->GetHadronNucleonXscNS(dNeutron, theProton);
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G4double npInXsc = hnXsc->GetInelasticHadronNucleonXsc();
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delete dProton;
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delete dNeutron;
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// G4cout<<"ppInXsc = "<<ppInXsc/millibarn<<"; npInXsc = "<<npInXsc/millibarn<<G4endl;
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// G4cout<<"npTotXsc = "<<hnXsc->GetTotalHadronNucleonXsc()/millibarn<<"; npElXsc = "
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// <<hnXsc->GetElasticHadronNucleonXsc()/millibarn<<G4endl;
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nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR
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ratio = sigma/nucleusSquare;
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xsection = nucleusSquare*std::log( 1. + ratio );
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fTotalXsc = xsection;
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fTotalXsc *= cB;
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fInelasticXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic;
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fInelasticXsc *= cB;
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fElasticXsc = fTotalXsc - fInelasticXsc;
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// if (fElasticXsc < DBL_MIN) fElasticXsc = DBL_MIN;
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/*
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G4double difratio = ratio/(1.+ratio);
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fDiffractionXsc = 0.5*nucleusSquare*( difratio - std::log( 1. + difratio ) );
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*/
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// production to be checked !!! edit MK xsc
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//sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscMK(theProton, pTkin, theProton) +
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// (pZ*tN+pN*tZ)*GetHadronNucleonXscMK(theProton, pTkin, theNeutron);
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sigma = (pZ*tZ+pN*tN)*ppInXsc + (pZ*tN+pN*tZ)*npInXsc;
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ratio = sigma/nucleusSquare;
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fProductionXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic;
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if (fElasticXsc < 0.) fElasticXsc = 0.;
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}
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else
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{
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fInelasticXsc = 0.;
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fTotalXsc = 0.;
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fElasticXsc = 0.;
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fProductionXsc = 0.;
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}
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return fInelasticXsc; // xsection;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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//
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G4double G4GGNuclNuclCrossSection::
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GetCoulombBarier(const G4DynamicParticle* aParticle, G4double tZ, G4double tA,
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G4double pR, G4double tR)
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{
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G4double ratio;
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G4double pZ = aParticle->GetDefinition()->GetPDGCharge();
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G4double pTkin = aParticle->GetKineticEnergy();
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// G4double pPlab = aParticle->GetTotalMomentum();
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G4double pM = aParticle->GetDefinition()->GetPDGMass();
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// G4double tM = tZ*proton_mass_c2 + (tA-tZ)*neutron_mass_c2; // ~ 1% accuracy
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G4double tM = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIonMass( G4int(tZ), G4int(tA) );
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G4double pElab = pTkin + pM;
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G4double totEcm = std::sqrt(pM*pM + tM*tM + 2.*pElab*tM);
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// G4double pPcm = pPlab*tM/totEcm;
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// G4double pTcm = std::sqrt(pM*pM + pPcm*pPcm) - pM;
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G4double totTcm = totEcm - pM -tM;
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G4double bC = fine_structure_const*hbarc*pZ*tZ;
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bC /= pR + tR;
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bC /= 2.; // 4., 2. parametrisation cof ??? vmg
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// G4cout<<"pTkin = "<<pTkin/GeV<<"; pPlab = "
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// <<pPlab/GeV<<"; bC = "<<bC/GeV<<"; pTcm = "<<pTcm/GeV<<G4endl;
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if( totTcm <= bC ) ratio = 0.;
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else ratio = 1. - bC/totTcm;
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// if(ratio < DBL_MIN) ratio = DBL_MIN;
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if( ratio < 0.) ratio = 0.;
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// G4cout <<"ratio = "<<ratio<<G4endl;
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return ratio;
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}
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//////////////////////////////////////////////////////////////////////////
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//
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// Return single-diffraction/inelastic cross-section ratio
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G4double G4GGNuclNuclCrossSection::
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GetRatioSD(const G4DynamicParticle* aParticle, G4double tA, G4double tZ)
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{
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G4double sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, ratio;
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G4double pZ = aParticle->GetDefinition()->GetPDGCharge();
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G4double pA = aParticle->GetDefinition()->GetBaryonNumber();
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G4double pTkin = aParticle->GetKineticEnergy();
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pTkin /= pA;
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G4double pN = pA - pZ;
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if( pN < 0. ) pN = 0.;
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G4double tN = tA - tZ;
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if( tN < 0. ) tN = 0.;
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G4double tR = GetNucleusRadius(tZ,tA);
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G4double pR = GetNucleusRadius(pZ,pA);
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sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) +
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(pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron);
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nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR
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ratio = sigma/nucleusSquare;
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fInelasticXsc = nucleusSquare*std::log(1. + cofInelastic*ratio)/cofInelastic;
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G4double difratio = ratio/(1.+ratio);
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fDiffractionXsc = 0.5*nucleusSquare*( difratio - std::log( 1. + difratio ) );
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if (fInelasticXsc > 0.) ratio = fDiffractionXsc/fInelasticXsc;
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else ratio = 0.;
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return ratio;
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}
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//////////////////////////////////////////////////////////////////////////
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//
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// Return quasi-elastic/inelastic cross-section ratio
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G4double G4GGNuclNuclCrossSection::
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GetRatioQE(const G4DynamicParticle* aParticle, G4double tA, G4double tZ)
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{
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G4double sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, ratio;
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G4double pZ = aParticle->GetDefinition()->GetPDGCharge();
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G4double pA = aParticle->GetDefinition()->GetBaryonNumber();
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G4double pTkin = aParticle->GetKineticEnergy();
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pTkin /= pA;
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G4double pN = pA - pZ;
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if( pN < 0. ) pN = 0.;
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G4double tN = tA - tZ;
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if( tN < 0. ) tN = 0.;
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G4double tR = GetNucleusRadius(tZ,tA);
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G4double pR = GetNucleusRadius(pZ,pA);
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sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) +
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(pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron);
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nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR
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ratio = sigma/nucleusSquare;
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fInelasticXsc = nucleusSquare*std::log(1. + cofInelastic*ratio)/cofInelastic;
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// sigma = GetHNinelasticXsc(aParticle, tA, tZ);
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ratio = sigma/nucleusSquare;
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fProductionXsc = nucleusSquare*std::log(1. + cofInelastic*ratio)/cofInelastic;
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if (fInelasticXsc > fProductionXsc) ratio = (fInelasticXsc-fProductionXsc)/fInelasticXsc;
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else ratio = 0.;
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if ( ratio < 0. ) ratio = 0.;
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return ratio;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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// Returns hadron-nucleon Xsc according to differnt parametrisations:
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// [2] E. Levin, hep-ph/9710546
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// [3] U. Dersch, et al, hep-ex/9910052
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// [4] M.J. Longo, et al, Phys.Rev.Lett. 33 (1974) 725
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G4double
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G4GGNuclNuclCrossSection::GetHadronNucleonXsc(const G4DynamicParticle* aParticle,
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const G4Element* anElement)
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{
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G4int At = G4lrint(anElement->GetN()); // number of nucleons
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G4int Zt = G4lrint(anElement->GetZ()); // number of protons
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return GetHadronNucleonXsc(aParticle, At, Zt);
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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// Returns hadron-nucleon Xsc according to differnt parametrisations:
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// [2] E. Levin, hep-ph/9710546
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// [3] U. Dersch, et al, hep-ex/9910052
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// [4] M.J. Longo, et al, Phys.Rev.Lett. 33 (1974) 725
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G4double
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G4GGNuclNuclCrossSection::GetHadronNucleonXsc(const G4DynamicParticle* aParticle,
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G4int At, G4int Zt)
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{
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G4double xsection = 0.;
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G4double targ_mass = G4ParticleTable::GetParticleTable()->
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GetIonTable()->GetIonMass(Zt, At);
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targ_mass = 0.939*GeV; // ~mean neutron and proton ???
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G4double proj_mass = aParticle->GetMass();
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G4double proj_momentum = aParticle->GetMomentum().mag();
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G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum );
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sMand /= GeV*GeV; // in GeV for parametrisation
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proj_momentum /= GeV;
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const G4ParticleDefinition* pParticle = aParticle->GetDefinition();
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if(pParticle == theNeutron) // as proton ???
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{
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xsection = G4double(At)*(21.70*std::pow(sMand,0.0808) + 56.08*std::pow(sMand,-0.4525));
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}
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else if(pParticle == theProton)
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{
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xsection = G4double(At)*(21.70*std::pow(sMand,0.0808) + 56.08*std::pow(sMand,-0.4525));
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}
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xsection *= millibarn;
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return xsection;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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// Returns hadron-nucleon Xsc according to PDG parametrisation (2005):
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// http://pdg.lbl.gov/2006/reviews/hadronicrpp.pdf
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// At = number of nucleons, Zt = number of protons
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G4double
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G4GGNuclNuclCrossSection::GetHadronNucleonXscPDG(const G4ParticleDefinition* pParticle,
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G4double sMand,
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const G4ParticleDefinition* tParticle)
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{
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G4double xsection = 0.;
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// G4bool pORn = (tParticle == theProton || nucleon == theNeutron );
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G4bool proton = (tParticle == theProton);
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G4bool neutron = (tParticle == theNeutron);
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// General PDG fit constants
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G4double s0 = 5.38*5.38; // in Gev^2
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G4double eta1 = 0.458;
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G4double eta2 = 0.458;
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G4double B = 0.308;
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// const G4ParticleDefinition* pParticle = aParticle->GetDefinition();
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if(pParticle == theNeutron) // proton-neutron fit
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{
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if ( proton )
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{
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xsection = ( 35.80 + B*std::pow(std::log(sMand/s0),2.)
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+ 40.15*std::pow(sMand,-eta1) - 30.*std::pow(sMand,-eta2));
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}
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if ( neutron )
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{
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xsection = (35.45 + B*std::pow(std::log(sMand/s0),2.)
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+ 42.53*std::pow(sMand,-eta1) - 33.34*std::pow(sMand,-eta2)); // pp for nn
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}
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}
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else if(pParticle == theProton)
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{
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if ( proton )
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{
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xsection = (35.45 + B*std::pow(std::log(sMand/s0),2.)
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+ 42.53*std::pow(sMand,-eta1) - 33.34*std::pow(sMand,-eta2));
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}
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if ( neutron )
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{
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xsection = (35.80 + B*std::pow(std::log(sMand/s0),2.)
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+ 40.15*std::pow(sMand,-eta1) - 30.*std::pow(sMand,-eta2));
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}
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}
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xsection *= millibarn; // parametrised in mb
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return xsection;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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// Returns nucleon-nucleon cross-section based on N. Starkov parametrisation of
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// data from mainly http://wwwppds.ihep.su:8001/c5-6A.html database
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// projectile nucleon is pParticle with pTkin shooting target nucleon tParticle
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G4double
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G4GGNuclNuclCrossSection::GetHadronNucleonXscNS(const G4ParticleDefinition* pParticle,
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G4double pTkin,
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const G4ParticleDefinition* tParticle)
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{
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G4double xsection(0);
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// G4double Delta; DHW 19 May 2011: variable set but not used
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G4double A0, B0;
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G4double hpXscv(0);
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G4double hnXscv(0);
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G4double targ_mass = tParticle->GetPDGMass();
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G4double proj_mass = pParticle->GetPDGMass();
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G4double proj_energy = proj_mass + pTkin;
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G4double proj_momentum = std::sqrt(pTkin*(pTkin+2*proj_mass));
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G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum );
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sMand /= GeV*GeV; // in GeV for parametrisation
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proj_momentum /= GeV;
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proj_energy /= GeV;
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proj_mass /= GeV;
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// General PDG fit constants
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// G4double s0 = 5.38*5.38; // in Gev^2
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// G4double eta1 = 0.458;
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// G4double eta2 = 0.458;
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// G4double B = 0.308;
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if( proj_momentum >= 373.)
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{
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return GetHadronNucleonXscPDG(pParticle,sMand,tParticle);
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}
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else if( proj_momentum >= 10. ) // high energy: pp = nn = np
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// if( proj_momentum >= 2.)
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{
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// Delta = 1.; // DHW 19 May 2011: variable set but not used
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// if (proj_energy < 40.) Delta = 0.916+0.0021*proj_energy;
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if (proj_momentum >= 10.) {
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B0 = 7.5;
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A0 = 100. - B0*std::log(3.0e7);
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xsection = A0 + B0*std::log(proj_energy) - 11
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+ 103*std::pow(2*0.93827*proj_energy + proj_mass*proj_mass+
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0.93827*0.93827,-0.165); // mb
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}
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}
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else // low energy pp = nn != np
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{
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if(pParticle == tParticle) // pp or nn // nn to be pp
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{
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if( proj_momentum < 0.73 )
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{
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hnXscv = 23 + 50*( std::pow( std::log(0.73/proj_momentum), 3.5 ) );
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}
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else if( proj_momentum < 1.05 )
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{
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hnXscv = 23 + 40*(std::log(proj_momentum/0.73))*
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(std::log(proj_momentum/0.73));
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}
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else // if( proj_momentum < 10. )
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{
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hnXscv = 39.0 +
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75*(proj_momentum - 1.2)/(std::pow(proj_momentum,3.0) + 0.15);
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}
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xsection = hnXscv;
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}
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else // pn to be np
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{
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if( proj_momentum < 0.8 )
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{
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hpXscv = 33+30*std::pow(std::log(proj_momentum/1.3),4.0);
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}
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else if( proj_momentum < 1.4 )
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{
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hpXscv = 33+30*std::pow(std::log(proj_momentum/0.95),2.0);
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}
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else // if( proj_momentum < 10. )
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{
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hpXscv = 33.3+
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20.8*(std::pow(proj_momentum,2.0)-1.35)/
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(std::pow(proj_momentum,2.50)+0.95);
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}
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xsection = hpXscv;
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}
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}
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xsection *= millibarn; // parametrised in mb
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return xsection;
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}
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/////////////////////////////////////////////////////////////////////////////////
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//
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// Returns hadron-nucleon inelastic cross-section based on FTF-parametrisation
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G4double
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G4GGNuclNuclCrossSection::GetHNinelasticXscVU(const G4DynamicParticle* aParticle,
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G4int At, G4int Zt)
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{
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G4int PDGcode = aParticle->GetDefinition()->GetPDGEncoding();
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G4int absPDGcode = std::abs(PDGcode);
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G4double Elab = aParticle->GetTotalEnergy();
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// (s - 2*0.88*GeV*GeV)/(2*0.939*GeV)/GeV;
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G4double Plab = aParticle->GetMomentum().mag();
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// std::sqrt(Elab * Elab - 0.88);
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Elab /= GeV;
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Plab /= GeV;
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G4double LogPlab = std::log( Plab );
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G4double sqrLogPlab = LogPlab * LogPlab;
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//G4cout<<"Plab = "<<Plab<<G4endl;
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G4double NumberOfTargetProtons = Zt;
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G4double NumberOfTargetNucleons = At;
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G4double NumberOfTargetNeutrons = NumberOfTargetNucleons - NumberOfTargetProtons;
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if(NumberOfTargetNeutrons < 0.) NumberOfTargetNeutrons = 0.;
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G4double Xtotal = 0., Xelastic = 0., Xinelastic =0.;
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if( absPDGcode > 1000 ) //------Projectile is baryon --------
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{
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G4double XtotPP = 48.0 + 0. *std::pow(Plab, 0. ) +
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0.522*sqrLogPlab - 4.51*LogPlab;
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G4double XtotPN = 47.3 + 0. *std::pow(Plab, 0. ) +
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0.513*sqrLogPlab - 4.27*LogPlab;
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G4double XelPP = 11.9 + 26.9*std::pow(Plab,-1.21) +
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0.169*sqrLogPlab - 1.85*LogPlab;
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G4double XelPN = 11.9 + 26.9*std::pow(Plab,-1.21) +
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0.169*sqrLogPlab - 1.85*LogPlab;
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Xtotal = ( NumberOfTargetProtons * XtotPP +
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NumberOfTargetNeutrons * XtotPN );
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Xelastic = ( NumberOfTargetProtons * XelPP +
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NumberOfTargetNeutrons * XelPN );
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}
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Xinelastic = Xtotal - Xelastic;
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if(Xinelastic < 0.) Xinelastic = 0.;
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return Xinelastic*= millibarn;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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//
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G4double
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G4GGNuclNuclCrossSection::GetNucleusRadius(const G4DynamicParticle* ,
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const G4Element* anElement)
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{
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G4double At = anElement->GetN();
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G4double oneThird = 1.0/3.0;
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G4double cubicrAt = std::pow (At, oneThird);
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G4double R; // = fRadiusConst*cubicrAt;
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R = fRadiusConst*cubicrAt;
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G4double meanA = 21.;
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G4double tauA1 = 40.;
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G4double tauA2 = 10.;
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G4double tauA3 = 5.;
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G4double a1 = 0.85;
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G4double b1 = 1. - a1;
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G4double b2 = 0.3;
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G4double b3 = 4.;
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if (At > 20.) // 20.
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{
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R *= ( a1 + b1*std::exp( -(At - meanA)/tauA1) );
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}
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else if (At > 3.5)
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{
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R *= ( 1.0 + b2*( 1. - std::exp( (At - meanA)/tauA2) ) );
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}
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else
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{
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R *= ( 1.0 + b3*( 1. - std::exp( (At - meanA)/tauA3) ) );
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}
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return R;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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//
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G4double
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G4GGNuclNuclCrossSection::GetNucleusRadius(G4double Zt, G4double At)
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{
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G4double R;
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R = GetNucleusRadiusDE(Zt,At);
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// R = GetNucleusRadiusRMS(Zt,At);
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return R;
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}
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///////////////////////////////////////////////////////////////////
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G4double
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G4GGNuclNuclCrossSection::GetNucleusRadiusGG(G4double At)
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{
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G4double oneThird = 1.0/3.0;
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G4double cubicrAt = std::pow (At, oneThird);
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G4double R; // = fRadiusConst*cubicrAt;
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R = fRadiusConst*cubicrAt;
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G4double meanA = 20.;
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G4double tauA = 20.;
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if ( At > 20.) // 20.
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{
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R *= ( 0.8 + 0.2*std::exp( -(At - meanA)/tauA) );
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}
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else
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{
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R *= ( 1.0 + 0.1*( 1. - std::exp( (At - meanA)/tauA) ) );
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}
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return R;
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}
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/////////////////////////////////////////////////////////////////////////////
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//
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//
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G4double
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G4GGNuclNuclCrossSection::GetNucleusRadiusDE(G4double Z, G4double A)
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{
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// algorithm from diffuse-elastic
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G4double R, r0, a11, a12, a13, a2, a3;
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a11 = 1.26; // 1.08, 1.16
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a12 = 1.; // 1.08, 1.16
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a13 = 1.12; // 1.08, 1.16
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a2 = 1.1;
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a3 = 1.;
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// Special rms radii for light nucleii
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if (A < 50.)
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{
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if (std::abs(A-1.) < 0.5) return 0.89*fermi; // p
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else if(std::abs(A-2.) < 0.5) return 2.13*fermi; // d
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else if(std::abs(Z-1.) < 0.5 && std::abs(A-3.) < 0.5) return 1.80*fermi; // t
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else if(std::abs(Z-2.) < 0.5 && std::abs(A-3.) < 0.5) return 1.96*fermi; // He3
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else if(std::abs(Z-2.) < 0.5 && std::abs(A-4.) < 0.5) return 1.68*fermi; // He4
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else if(std::abs(Z-3.) < 0.5) return 2.40*fermi; // Li7
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else if(std::abs(Z-4.) < 0.5) return 2.51*fermi; // Be9
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else if( 10. < A && A <= 16. ) r0 = a11*( 1 - std::pow(A, -2./3.) )*fermi; // 1.08*fermi;
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else if( 15. < A && A <= 20. ) r0 = a12*( 1 - std::pow(A, -2./3.) )*fermi;
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else if( 20. < A && A <= 30. ) r0 = a13*( 1 - std::pow(A, -2./3.) )*fermi;
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else r0 = a2*fermi;
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|
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R = r0*std::pow( A, 1./3. );
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}
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else
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{
|
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r0 = a3*fermi;
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|
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R = r0*std::pow(A, 0.27);
|
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}
|
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return R;
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}
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|
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/////////////////////////////////////////////////////////////////////////////
|
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//
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// RMS radii from e-A scattering data
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|
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G4double
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G4GGNuclNuclCrossSection::GetNucleusRadiusRMS(G4double Z, G4double A)
|
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{
|
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|
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if (std::abs(A-1.) < 0.5) return 0.89*fermi; // p
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else if(std::abs(A-2.) < 0.5) return 2.13*fermi; // d
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else if(std::abs(Z-1.) < 0.5 && std::abs(A-3.) < 0.5) return 1.80*fermi; // t
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else if(std::abs(Z-2.) < 0.5 && std::abs(A-3.) < 0.5) return 1.96*fermi; // He3
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else if(std::abs(Z-2.) < 0.5 && std::abs(A-4.) < 0.5) return 1.68*fermi; // He4
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else if(std::abs(Z-3.) < 0.5) return 2.40*fermi; // Li7
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else if(std::abs(Z-4.) < 0.5) return 2.51*fermi; // Be9
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else return 1.24*std::pow(A, 0.28 )*fermi; // A > 9
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}
|
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|
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///////////////////////////////////////////////////////////////////////////////
|
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//
|
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//
|
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|
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G4double G4GGNuclNuclCrossSection::CalculateEcmValue(const G4double mp,
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const G4double mt,
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const G4double Plab)
|
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{
|
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G4double Elab = std::sqrt ( mp * mp + Plab * Plab );
|
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G4double Ecm = std::sqrt ( mp * mp + mt * mt + 2 * Elab * mt );
|
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// G4double Pcm = Plab * mt / Ecm;
|
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// G4double KEcm = std::sqrt ( Pcm * Pcm + mp * mp ) - mp;
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|
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return Ecm ; // KEcm;
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}
|
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|
|
|
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///////////////////////////////////////////////////////////////////////////////
|
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//
|
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//
|
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|
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G4double G4GGNuclNuclCrossSection::CalcMandelstamS(const G4double mp,
|
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const G4double mt,
|
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const G4double Plab)
|
|
{
|
|
G4double Elab = std::sqrt ( mp * mp + Plab * Plab );
|
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G4double sMand = mp*mp + mt*mt + 2*Elab*mt ;
|
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|
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return sMand;
|
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}
|
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|
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//
|
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//
|
|
///////////////////////////////////////////////////////////////////////////////
|