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geant4/source/processes/hadronic/cross_sections/src/G4ComponentAntiNuclNuclearXS.cc
T
Gabriele Cosmo d0f911957d Import Geant4 10.6.0.beta source tree
2019-06-28 11:59:04 +02:00

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//
// ********************************************************************
// * License and Disclaimer *
// * *
// * The Geant4 software is copyright of the Copyright Holders of *
// * the Geant4 Collaboration. It is provided under the terms and *
// * conditions of the Geant4 Software License, included in the file *
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// * *
// * Neither the authors of this software system, nor their employing *
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// * work make any representation or warranty, express or implied, *
// * regarding this software system or assume any liability for its *
// * use. Please see the license in the file LICENSE and URL above *
// * for the full disclaimer and the limitation of liability. *
// * *
// * This code implementation is the result of the scientific and *
// * technical work of the GEANT4 collaboration. *
// * By using, copying, modifying or distributing the software (or *
// * any work based on the software) you agree to acknowledge its *
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// ********************************************************************
//
// Calculation of the total, elastic and inelastic cross-sections
// of anti-nucleon and anti-nucleus interactions with nuclei
// based on Glauber approach and V. Grishine formulaes for
// interpolations (ref. V.M.Grichine, Eur.Phys.J., C62(2009) 399;
// NIM, B267 (2009) 2460) and our parametrization of hadron-nucleon
// cross-sections
//
//
// Created by A.Galoyan and V. Uzhinsky, 18.11.2010
#include "G4ComponentAntiNuclNuclearXS.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4ParticleTable.hh"
#include "G4IonTable.hh"
#include "G4ParticleDefinition.hh"
#include "G4Pow.hh"
/////////////////////////////////////////////////////////////////////////////
G4ComponentAntiNuclNuclearXS::G4ComponentAntiNuclNuclearXS()
: G4VComponentCrossSection("AntiAGlauber"),
fRadiusEff(0.0), fRadiusNN2(0.0),
fTotalXsc(0.0), fElasticXsc(0.0), fInelasticXsc(0.0),
fAntiHadronNucleonTotXsc(0.0), fAntiHadronNucleonElXsc(0.0),
Elab(0.0), S(0.0), SqrtS(0)
{
theAProton = G4AntiProton::AntiProton();
theANeutron = G4AntiNeutron::AntiNeutron();
theADeuteron = G4AntiDeuteron::AntiDeuteron();
theATriton = G4AntiTriton::AntiTriton();
theAAlpha = G4AntiAlpha::AntiAlpha();
theAHe3 = G4AntiHe3::AntiHe3();
Mn = 0.93827231; // GeV
b0 = 11.92; // GeV^(-2)
b2 = 0.3036; // GeV^(-2)
SqrtS0 = 20.74; // GeV
S0 = 33.0625; // GeV^2
R0 = 1.0; // default value (V.Ivanchenko)
}
/////////////////////////////////////////////////////////////////////////////
G4ComponentAntiNuclNuclearXS::~G4ComponentAntiNuclNuclearXS()
{
}
/////////////////////////////////////////////////////////////////////////////
//
// Calculation of total CrossSection of Anti-Nucleus - Nucleus
G4double G4ComponentAntiNuclNuclearXS::GetTotalElementCrossSection
(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A)
{
G4double xsection, sigmaTotal, sigmaElastic;
const G4ParticleDefinition* theParticle = aParticle;
sigmaTotal = GetAntiHadronNucleonTotCrSc(theParticle,kinEnergy);
sigmaElastic = GetAntiHadronNucleonElCrSc(theParticle,kinEnergy);
// calculation of squared radius of NN-collision
fRadiusNN2=sigmaTotal*sigmaTotal*0.1/(8.*sigmaElastic*pi) ; //fm^2
// calculation of effective nuclear radius for Pbar and Nbar interactions (can be changed)
//A.R. 29-Jan-2013 : use antiprotons/antineutrons as the default case,
// to be used for instance, as first approximation
// without validation, for anti-hyperons.
if (A==1) {
fTotalXsc = sigmaTotal * millibarn;
return fTotalXsc;
}
fRadiusEff = 1.34*G4Pow::GetInstance()->powA(A,0.23)+1.35/G4Pow::GetInstance()->powA(A,1./3.); //fm
if ( (Z==1) && (A==2) ) fRadiusEff = 3.800; //fm
if ( (Z==1) && (A==3) ) fRadiusEff = 3.300;
if ( (Z==2) && (A==3) ) fRadiusEff = 3.300;
if ( (Z==2) && (A==4) ) fRadiusEff = 2.376;
// calculation of effective nuclear radius for AntiDeuteron interaction (can be changed)
if (theParticle == theADeuteron) {
fRadiusEff = 1.46 * G4Pow::GetInstance()->powA(A,0.21) + 1.45 / G4Pow::GetInstance()->powA(A,1./3.);
if ( (Z==1) && (A==2) ) fRadiusEff = 3.238; //fm
if ( (Z==1) && (A==3) ) fRadiusEff = 3.144;
if ( (Z==2) && (A==3) ) fRadiusEff = 3.144;
if ( (Z==2) && (A==4) ) fRadiusEff = 2.544;
}
// calculation of effective nuclear radius for AntiHe3 interaction (can be changed)
if ( (theParticle ==theAHe3) || (theParticle ==theATriton) ) {
fRadiusEff = 1.40* G4Pow::GetInstance()->powA(A,0.21)+1.63/G4Pow::GetInstance()->powA(A,1./3.);
if ( (Z==1) && (A==2) ) fRadiusEff = 3.144; //fm
if ( (Z==1) && (A==3) ) fRadiusEff = 3.075;
if ( (Z==2) && (A==3) ) fRadiusEff = 3.075;
if ( (Z==2) && (A==4) ) fRadiusEff = 2.589;
}
// calculation of effective nuclear radius for AntiAlpha interaction (can be changed)
if (theParticle == theAAlpha) {
fRadiusEff = 1.35* G4Pow::GetInstance()->powA(A,0.21)+1.1/G4Pow::GetInstance()->powA(A,1./3.);
if ( (Z==1) && (A==2) ) fRadiusEff = 2.544; //fm
if ( (Z==1) && (A==3) ) fRadiusEff = 2.589;
if ( (Z==2) && (A==3) ) fRadiusEff = 2.589;
if ( (Z==2) && (A==4) ) fRadiusEff = 2.241;
}
G4double R2 = fRadiusEff*fRadiusEff;
G4double REf2 = R2+fRadiusNN2;
G4double ApAt = std::abs(theParticle->GetBaryonNumber()) * A;
xsection = 2*pi*REf2*10.*G4Log(1+(ApAt*sigmaTotal/(2*pi*REf2*10.))); //mb
xsection = xsection *millibarn;
fTotalXsc = xsection;
return fTotalXsc;
}
/////////////////////////////////////////////////////////////////////////////
//
// Calculation of total CrossSection of Anti-Nucleus - Nucleus
G4double G4ComponentAntiNuclNuclearXS::GetTotalIsotopeCrossSection
(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A )
{
return GetTotalElementCrossSection(aParticle, kinEnergy, Z, (G4double) A);
}
/////////////////////////////////////////////////////////////////////////////
// Calculation of inelastic CrossSection of Anti-Nucleus - Nucleus
G4double G4ComponentAntiNuclNuclearXS::GetInelasticElementCrossSection
(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A)
{
G4double inelxsection, sigmaTotal, sigmaElastic;
const G4ParticleDefinition* theParticle = aParticle;
sigmaTotal = GetAntiHadronNucleonTotCrSc(theParticle,kinEnergy);
sigmaElastic = GetAntiHadronNucleonElCrSc(theParticle,kinEnergy);
// calculation of sqr of radius NN-collision
fRadiusNN2=sigmaTotal*sigmaTotal*0.1/(8.*sigmaElastic*pi); // fm^2
// calculation of effective nuclear radius for Pbar and Nbar interaction (can be changed)
//A.R. 29-Jan-2013 : use antiprotons/antineutrons as the default case,
// to be used for instance, as first approximation
// without validation, for anti-hyperons.
if (A==1) {
fInelasticXsc = (sigmaTotal - sigmaElastic) * millibarn;
return fInelasticXsc;
}
fRadiusEff = 1.31*G4Pow::GetInstance()->powA(A, 0.22)+0.9/G4Pow::GetInstance()->powA(A, 1./3.); //fm
if ( (Z==1) && (A==2) ) fRadiusEff = 3.582; //fm
if ( (Z==1) && (A==3) ) fRadiusEff = 3.105;
if ( (Z==2) && (A==3) ) fRadiusEff = 3.105;
if ( (Z==2) && (A==4) ) fRadiusEff = 2.209;
// calculation of effective nuclear radius for AntiDeuteron interaction (can be changed)
if (theParticle ==theADeuteron) {
fRadiusEff = 1.38*G4Pow::GetInstance()->powA(A, 0.21)+1.55/G4Pow::GetInstance()->powA(A, 1./3.);
if ( (Z==1) && (A==2) ) fRadiusEff = 3.169; //fm
if ( (Z==1) && (A==3) ) fRadiusEff = 3.066;
if ( (Z==2) && (A==3) ) fRadiusEff = 3.066;
if ( (Z==2) && (A==4) ) fRadiusEff = 2.498;
}
// calculation of effective nuclear radius for AntiHe3 interaction (can be changed)
if ( (theParticle ==theAHe3) || (theParticle ==theATriton) ) {
fRadiusEff = 1.34 * G4Pow::GetInstance()->powA(A, 0.21)+1.51/G4Pow::GetInstance()->powA(A, 1./3.);
if ( (Z==1) && (A==2) ) fRadiusEff = 3.066; //fm
if ( (Z==1) && (A==3) ) fRadiusEff = 2.973;
if ( (Z==2) && (A==3) ) fRadiusEff = 2.973;
if ( (Z==2) && (A==4) ) fRadiusEff = 2.508;
}
// calculation of effective nuclear radius for AntiAlpha interaction (can be changed)
if (theParticle == theAAlpha) {
fRadiusEff = 1.3*G4Pow::GetInstance()->powA(A, 0.21)+1.05/G4Pow::GetInstance()->powA(A, 1./3.);
if ( (Z==1) && (A==2) ) fRadiusEff = 2.498; //fm
if ( (Z==1) && (A==3) ) fRadiusEff = 2.508;
if ( (Z==2) && (A==3) ) fRadiusEff = 2.508;
if ( (Z==2) && (A==4) ) fRadiusEff = 2.158;
}
G4double R2 = fRadiusEff*fRadiusEff;
G4double REf2 = R2+fRadiusNN2;
G4double ApAt = std::abs(theParticle->GetBaryonNumber()) * A;
inelxsection = pi*REf2 *10* G4Log(1+(ApAt*sigmaTotal/(pi*REf2*10.))); //mb
inelxsection = inelxsection * millibarn;
fInelasticXsc = inelxsection;
return fInelasticXsc;
}
/////////////////////////////////////////////////////////////////////////////
//
// Calculates Inelastic Anti-nucleus-Nucleus cross-section
G4double G4ComponentAntiNuclNuclearXS::GetInelasticIsotopeCrossSection
(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A)
{
return GetInelasticElementCrossSection(aParticle, kinEnergy, Z, (G4double) A);
}
/////////////////////////////////////////////////////////////////////////////
//
// Calculates elastic Anti-nucleus-Nucleus cross-section as Total - Inelastic
G4double G4ComponentAntiNuclNuclearXS::GetElasticElementCrossSection
(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A)
{
fElasticXsc = GetTotalElementCrossSection(aParticle, kinEnergy, Z, A)-
GetInelasticElementCrossSection(aParticle, kinEnergy, Z, A);
if (fElasticXsc < 0.) fElasticXsc = 0.;
return fElasticXsc;
}
/////////////////////////////////////////////////////////////////////////////
//
// Calculates elastic Anti-nucleus-Nucleus cross-section
G4double G4ComponentAntiNuclNuclearXS::GetElasticIsotopeCrossSection
(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A)
{
return GetElasticElementCrossSection(aParticle, kinEnergy, Z, (G4double) A);
}
/////////////////////////////////////////////////////////////////////////////
// Calculation of Antihadron - hadron Total Cross-section
G4double G4ComponentAntiNuclNuclearXS::GetAntiHadronNucleonTotCrSc
(const G4ParticleDefinition* aParticle, G4double kinEnergy)
{
G4double xsection, Pmass, Energy, momentum;
const G4ParticleDefinition* theParticle = aParticle;
Pmass=theParticle->GetPDGMass();
Energy=Pmass+kinEnergy;
momentum=std::sqrt(Energy*Energy-Pmass*Pmass)/std::abs(theParticle->GetBaryonNumber());
G4double Plab = momentum / GeV;
G4double B, SigAss;
G4double C, d1, d2, d3;
Elab = std::sqrt(Mn*Mn + Plab*Plab); // GeV
S = 2.*Mn*Mn + 2. *Mn*Elab; // GeV^2
SqrtS = std::sqrt(S); // GeV
B = b0+b2*G4Log(SqrtS/SqrtS0)*G4Log(SqrtS/SqrtS0); //GeV^(-2)
SigAss = 36.04 +0.304*G4Log(S/S0)*G4Log(S/S0); //mb
R0 = std::sqrt(0.40874044*SigAss - B); //GeV^(-2)
C = 13.55;
d1 = -4.47;
d2 = 12.38;
d3 = -12.43;
xsection = SigAss * ( 1 + 1./(std::sqrt(S-4.*Mn*Mn)) / (G4Pow::GetInstance()->powA(R0, 3.))
* C * ( 1 + d1/SqrtS + d2/(G4Pow::GetInstance()->powA(SqrtS,2.))
+ d3/(G4Pow::GetInstance()->powA(SqrtS,3.)) ) );
//xsection *= millibarn;
fAntiHadronNucleonTotXsc = xsection;
return fAntiHadronNucleonTotXsc;
}
// //////////////////////////////////////////////////////////////////////////
// Calculation of Antihadron - hadron Elastic Cross-section
G4double G4ComponentAntiNuclNuclearXS ::
GetAntiHadronNucleonElCrSc(const G4ParticleDefinition* aParticle, G4double kinEnergy)
{
G4double xsection;
G4double SigAss;
G4double C, d1, d2, d3;
GetAntiHadronNucleonTotCrSc(aParticle,kinEnergy);
SigAss = 4.5 + 0.101*G4Log(S/S0)*G4Log(S/S0); //mb
C = 59.27;
d1 = -6.95;
d2 = 23.54;
d3 = -25.34;
xsection = SigAss * ( 1 + 1. / (std::sqrt(S-4.*Mn*Mn)) / (G4Pow::GetInstance()->powA(R0, 3.))
* C * ( 1 + d1/SqrtS + d2/(G4Pow::GetInstance()->powA(SqrtS,2.))
+ d3/(G4Pow::GetInstance()->powA(SqrtS,3.)) ) );
//xsection *= millibarn;
fAntiHadronNucleonElXsc = xsection;
return fAntiHadronNucleonElXsc;
}
/////////////////////////////////////////////////////////////////////////////
void G4ComponentAntiNuclNuclearXS::CrossSectionDescription(std::ostream& outFile) const
{
outFile << "The G4ComponentAntiNuclNuclearXS calculates total,\n"
<< "inelastic, elastic cross sections of anti-nucleons and light \n"
<< "anti-nucleus interactions with nuclei using Glauber's approach.\n"
<< "It uses parametrizations of antiproton-proton total and elastic \n"
<< "cross sections and Wood-Saxon distribution of nuclear density.\n"
<< "See details in Phys.Lett. B705 (2011) 235. \n";
}
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