366 lines
14 KiB
C++
366 lines
14 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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// Calculation of the total, elastic and inelastic cross-sections
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// of anti-nucleon and anti-nucleus interactions with nuclei
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// based on Glauber approach and V. Grishine formulaes for
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// interpolations (ref. V.M.Grichine, Eur.Phys.J., C62(2009) 399;
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// NIM, B267 (2009) 2460) and our parametrization of hadron-nucleon
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// cross-sections
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//
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//
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// Created by A.Galoyan and V. Uzhinsky, 18.11.2010
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#include "G4ComponentAntiNuclNuclearXS.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 "G4Pow.hh"
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///////////////////////////////////////////////////////////////////////////////
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G4ComponentAntiNuclNuclearXS::G4ComponentAntiNuclNuclearXS()
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: G4VComponentCrossSection("AntiAGlauber"),
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// fUpperLimit(10000*GeV), fLowerLimit(10*MeV),
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fRadiusEff(0.0), fRadiusNN2(0.0),
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fTotalXsc(0.0), fElasticXsc(0.0), fInelasticXsc(0.0),
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fAntiHadronNucleonTotXsc(0.0), fAntiHadronNucleonElXsc(0.0),
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Elab(0.0), S(0.0), SqrtS(0)
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{
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theAProton = G4AntiProton::AntiProton();
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theANeutron = G4AntiNeutron::AntiNeutron();
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theADeuteron = G4AntiDeuteron::AntiDeuteron();
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theATriton = G4AntiTriton::AntiTriton();
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theAAlpha = G4AntiAlpha::AntiAlpha();
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theAHe3 = G4AntiHe3::AntiHe3();
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Mn = 0.93827231; // GeV
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b0 = 11.92; // GeV^(-2)
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b2 = 0.3036; // GeV^(-2)
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SqrtS0 = 20.74; // GeV
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S0 = 33.0625; // GeV^2
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R0 = 1.0; // default value (V.Ivanchenko)
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}
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///////////////////////////////////////////////////////////////////////////////////////
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//
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//
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G4ComponentAntiNuclNuclearXS::~G4ComponentAntiNuclNuclearXS()
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{
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}
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////////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////////
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//
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// Calculation of total CrossSection of Anti-Nucleus - Nucleus
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G4double G4ComponentAntiNuclNuclearXS::GetTotalElementCrossSection
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(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A)
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{
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G4double xsection, sigmaTotal, sigmaElastic;
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const G4ParticleDefinition* theParticle = aParticle;
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sigmaTotal = GetAntiHadronNucleonTotCrSc(theParticle,kinEnergy);
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sigmaElastic = GetAntiHadronNucleonElCrSc(theParticle,kinEnergy);
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// calculation of squared radius of NN-collision
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fRadiusNN2=sigmaTotal*sigmaTotal*0.1/(8.*sigmaElastic*pi) ; //fm^2
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// calculation of effective nuclear radius for Pbar and Nbar interactions (can be changed)
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//A.R. 29-Jan-2013 : use antiprotons/antineutrons as the default case,
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// to be used for instance, as first approximation
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// without validation, for anti-hyperons.
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//if ( (theParticle == theAProton) || (theParticle == theANeutron) ) {
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if(A==1)
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{ fTotalXsc = sigmaTotal * millibarn;
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return fTotalXsc; }
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fRadiusEff = 1.34*G4Pow::GetInstance()->powA(A,0.23)+1.35/G4Pow::GetInstance()->powA(A,1./3.); //fm
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if( (Z==1) && (A==2) ) fRadiusEff = 3.800; //fm
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if( (Z==1) && (A==3) ) fRadiusEff = 3.300;
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if( (Z==2) && (A==3) ) fRadiusEff = 3.300;
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if( (Z==2) && (A==4) ) fRadiusEff = 2.376;
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//}
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//calculation of effective nuclear radius for AntiDeuteron interaction (can be changed)
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if (theParticle == theADeuteron)
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{ fRadiusEff = 1.46 * G4Pow::GetInstance()->powA(A,0.21) + 1.45 / G4Pow::GetInstance()->powA(A,1./3.);
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if( (Z==1) && (A==2) ) fRadiusEff = 3.238; //fm
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if( (Z==1) && (A==3) ) fRadiusEff = 3.144;
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if( (Z==2) && (A==3) ) fRadiusEff = 3.144;
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if( (Z==2) && (A==4) ) fRadiusEff = 2.544;
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}
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// calculation of effective nuclear radius for AntiHe3 interaction (can be changed)
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if( (theParticle ==theAHe3) || (theParticle ==theATriton) )
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{ fRadiusEff = 1.40* G4Pow::GetInstance()->powA(A,0.21)+1.63/G4Pow::GetInstance()->powA(A,1./3.);
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if( (Z==1) && (A==2) ) fRadiusEff = 3.144; //fm
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if( (Z==1) && (A==3) ) fRadiusEff = 3.075;
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if( (Z==2) && (A==3) ) fRadiusEff = 3.075;
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if( (Z==2) && (A==4) ) fRadiusEff = 2.589;
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}
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//calculation of effective nuclear radius for AntiAlpha interaction (can be changed)
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if (theParticle == theAAlpha)
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{
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fRadiusEff = 1.35* G4Pow::GetInstance()->powA(A,0.21)+1.1/G4Pow::GetInstance()->powA(A,1./3.);
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if( (Z==1) && (A==2) ) fRadiusEff = 2.544; //fm
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if( (Z==1) && (A==3) ) fRadiusEff = 2.589;
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if( (Z==2) && (A==3) ) fRadiusEff = 2.589;
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if( (Z==2) && (A==4) ) fRadiusEff = 2.241;
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}
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G4double R2 = fRadiusEff*fRadiusEff;
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G4double REf2 = R2+fRadiusNN2;
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G4double ApAt = std::abs(theParticle->GetBaryonNumber()) * A;
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xsection = 2*pi*REf2*10.*G4Log(1+(ApAt*sigmaTotal/(2*pi*REf2*10.))); //mb
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xsection =xsection *millibarn;
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fTotalXsc = xsection;
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return fTotalXsc;
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}
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////////////////////////////////////////////////////////////////////////////////
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//
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// Calculation of total CrossSection of Anti-Nucleus - Nucleus
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//////////////////////////////////////////////////////////////////////////////
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G4double G4ComponentAntiNuclNuclearXS::GetTotalIsotopeCrossSection
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(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A )
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{ return GetTotalElementCrossSection(aParticle, kinEnergy, Z, (G4double) A); }
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////////////////////////////////////////////////////////////////
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// Calculation of inelastic CrossSection of Anti-Nucleus - Nucleus
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////////////////////////////////////////////////////////////////
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G4double G4ComponentAntiNuclNuclearXS::GetInelasticElementCrossSection
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(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A)
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{
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G4double inelxsection, sigmaTotal, sigmaElastic;
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const G4ParticleDefinition* theParticle = aParticle;
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sigmaTotal = GetAntiHadronNucleonTotCrSc(theParticle,kinEnergy);
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sigmaElastic = GetAntiHadronNucleonElCrSc(theParticle,kinEnergy);
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// calculation of sqr of radius NN-collision
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fRadiusNN2=sigmaTotal*sigmaTotal*0.1/(8.*sigmaElastic*pi); // fm^2
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// calculation of effective nuclear radius for Pbar and Nbar interaction (can be changed)
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//A.R. 29-Jan-2013 : use antiprotons/antineutrons as the default case,
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// to be used for instance, as first approximation
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// without validation, for anti-hyperons.
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//if ( (theParticle == theAProton) || (theParticle == theANeutron) ) {
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if (A==1)
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{ fInelasticXsc = (sigmaTotal - sigmaElastic) * millibarn;
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return fInelasticXsc;
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}
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fRadiusEff = 1.31*G4Pow::GetInstance()->powA(A, 0.22)+0.9/G4Pow::GetInstance()->powA(A, 1./3.); //fm
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if( (Z==1) && (A==2) ) fRadiusEff = 3.582; //fm
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if( (Z==1) && (A==3) ) fRadiusEff = 3.105;
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if( (Z==2) && (A==3) ) fRadiusEff = 3.105;
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if( (Z==2) && (A==4) ) fRadiusEff = 2.209;
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//}
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//calculation of effective nuclear radius for AntiDeuteron interaction (can be changed)
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if (theParticle ==theADeuteron)
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{
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fRadiusEff = 1.38*G4Pow::GetInstance()->powA(A, 0.21)+1.55/G4Pow::GetInstance()->powA(A, 1./3.);
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if( (Z==1) && (A==2) ) fRadiusEff = 3.169; //fm
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if( (Z==1) && (A==3) ) fRadiusEff = 3.066;
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if( (Z==2) && (A==3) ) fRadiusEff = 3.066;
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if( (Z==2) && (A==4) ) fRadiusEff = 2.498;
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}
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//calculation of effective nuclear radius for AntiHe3 interaction (can be changed)
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if( (theParticle ==theAHe3) || (theParticle ==theATriton) )
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{
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fRadiusEff = 1.34 * G4Pow::GetInstance()->powA(A, 0.21)+1.51/G4Pow::GetInstance()->powA(A, 1./3.);
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if( (Z==1) && (A==2) ) fRadiusEff = 3.066; //fm
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if( (Z==1) && (A==3) ) fRadiusEff = 2.973;
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if( (Z==2) && (A==3) ) fRadiusEff = 2.973;
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if( (Z==2) && (A==4) ) fRadiusEff = 2.508;
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}
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//calculation of effective nuclear radius for AntiAlpha interaction (can be changed)
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if (theParticle == theAAlpha)
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{
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fRadiusEff = 1.3*G4Pow::GetInstance()->powA(A, 0.21)+1.05/G4Pow::GetInstance()->powA(A, 1./3.);
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if( (Z==1) && (A==2) ) fRadiusEff = 2.498; //fm
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if( (Z==1) && (A==3) ) fRadiusEff = 2.508;
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if( (Z==2) && (A==3) ) fRadiusEff = 2.508;
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if( (Z==2) && (A==4) ) fRadiusEff = 2.158;
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}
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G4double R2 = fRadiusEff*fRadiusEff;
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G4double REf2 = R2+fRadiusNN2;
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G4double ApAt= std::abs(theParticle->GetBaryonNumber()) * A;
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inelxsection = pi*REf2 *10* G4Log(1+(ApAt*sigmaTotal/(pi*REf2*10.))); //mb
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inelxsection = inelxsection * millibarn;
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fInelasticXsc = inelxsection;
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return fInelasticXsc;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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// Calculates Inelastic Anti-nucleus-Nucleus cross-section
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//
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G4double G4ComponentAntiNuclNuclearXS::GetInelasticIsotopeCrossSection
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(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A)
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{return GetInelasticElementCrossSection(aParticle, kinEnergy, Z, (G4double) A); }
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///////////////////////////////////////////////////////////////////////////////
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//
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// Calculates elastic Anti-nucleus-Nucleus cross-section as Total - Inelastic
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//
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G4double G4ComponentAntiNuclNuclearXS::GetElasticElementCrossSection
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(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A)
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{
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fElasticXsc = GetTotalElementCrossSection(aParticle, kinEnergy, Z, A)-
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GetInelasticElementCrossSection(aParticle, kinEnergy, Z, A);
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if (fElasticXsc < 0.) fElasticXsc = 0.;
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return fElasticXsc;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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// Calculates elastic Anti-nucleus-Nucleus cross-section
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//
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G4double G4ComponentAntiNuclNuclearXS::GetElasticIsotopeCrossSection
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(const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A)
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{ return GetElasticElementCrossSection(aParticle, kinEnergy, Z, (G4double) A); }
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///////////////////////////////////////////////////////////////////////////////////
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// Calculation of Antihadron - hadron Total Cross-section
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G4double G4ComponentAntiNuclNuclearXS::GetAntiHadronNucleonTotCrSc
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(const G4ParticleDefinition* aParticle, G4double kinEnergy)
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{
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G4double xsection, Pmass, Energy, momentum;
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const G4ParticleDefinition* theParticle = aParticle;
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Pmass=theParticle->GetPDGMass();
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Energy=Pmass+kinEnergy;
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momentum=std::sqrt(Energy*Energy-Pmass*Pmass)/std::abs(theParticle->GetBaryonNumber());
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G4double Plab = momentum / GeV;
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G4double B, SigAss;
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G4double C, d1, d2, d3 ;
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Elab = std::sqrt(Mn*Mn + Plab*Plab); // GeV
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S = 2.*Mn*Mn + 2. *Mn*Elab; // GeV^2
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SqrtS = std::sqrt(S); // GeV
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B = b0+b2*G4Log(SqrtS/SqrtS0)*G4Log(SqrtS/SqrtS0); //GeV^(-2)
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SigAss = 36.04 +0.304*G4Log(S/S0)*G4Log(S/S0); //mb
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R0 = std::sqrt(0.40874044*SigAss - B); //GeV^(-2)
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C = 13.55;
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d1 = -4.47;
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d2 = 12.38;
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d3 = -12.43;
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xsection = SigAss*(1 + 1./(std::sqrt(S-4.*Mn*Mn)) / (G4Pow::GetInstance()->powA(R0, 3.))
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*C* (1+d1/SqrtS+d2/(G4Pow::GetInstance()->powA(SqrtS,2.))+d3/(G4Pow::GetInstance()->powA(SqrtS,3.)) ));
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// xsection *= millibarn;
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fAntiHadronNucleonTotXsc = xsection;
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return fAntiHadronNucleonTotXsc;
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}
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//
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// /////////////////////////////////////////////////////////////////////////////////
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// Calculation of Antihadron - hadron Elastic Cross-section
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G4double G4ComponentAntiNuclNuclearXS ::
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GetAntiHadronNucleonElCrSc(const G4ParticleDefinition* aParticle, G4double kinEnergy)
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{
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G4double xsection;
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G4double SigAss;
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G4double C, d1, d2, d3 ;
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GetAntiHadronNucleonTotCrSc(aParticle,kinEnergy);
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SigAss = 4.5 + 0.101*G4Log(S/S0)*G4Log(S/S0); //mb
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C = 59.27;
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d1 = -6.95;
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d2 = 23.54;
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d3 = -25.34;
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xsection = SigAss* (1 + 1. / (std::sqrt(S-4.*Mn*Mn)) / (G4Pow::GetInstance()->powA(R0, 3.))
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*C* ( 1+d1/SqrtS+d2/(G4Pow::GetInstance()->powA(SqrtS,2.))+d3/(G4Pow::GetInstance()->powA(SqrtS,3.)) ));
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// xsection *= millibarn;
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fAntiHadronNucleonElXsc = xsection;
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return fAntiHadronNucleonElXsc;
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}
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void G4ComponentAntiNuclNuclearXS::CrossSectionDescription(std::ostream& outFile) const
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{
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outFile << "The G4ComponentAntiNuclNuclearXS calculates total,\n"
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<< "inelastic, elastic cross sections of anti-nucleons and light \n"
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<< "anti-nucleus interactions with nuclei using Glauber's approach.\n"
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<< "It uses parametrizations of antiproton-proton total and elastic \n"
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<< "cross sections and Wood-Saxon distribution of nuclear density.\n"
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<< "The lower limit is 10 MeV, the upper limit is 10 TeV. \n"
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<< "See details in Phys.Lett. B705 (2011) 235. \n";
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}
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