G4ComponentAntiNuclNuclearXS.cc

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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"
 
///////////////////////////////////////////////////////////////////////////////
 
 
G4ComponentAntiNuclNuclearXS::G4ComponentAntiNuclNuclearXS() 
: G4VComponentCrossSection("AntiAGlauber"), fUpperLimit( 10000 * GeV ),
  fLowerLimit( 10 * MeV )
{
  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
 
}
 
///////////////////////////////////////////////////////////////////////////////////////
//
//
 
G4ComponentAntiNuclNuclearXS::~G4ComponentAntiNuclNuclearXS()
{
}
 
////////////////////////////////////////////////////////////////////////////////
 
void
G4ComponentAntiNuclNuclearXS::CrossSectionDescription(std::ostream& outFile) const
{
  outFile << "G4ComponentAntiNuclNuclearXS describes the total, elastic\n"
          << "and inelastic cross sections for the scattering of light\n"
          << "antinuclei from nuclei using the Glauber approach and Grichine\n"
          << "parameterization.  It is valid from 10 MeV to 10 TeV incident\n"
          << "energies and applies to antiprotons, antineutrons, antideuterons,\n"
          << "anti3He, antitritons and antialphas.  This is a cross section\n"
          << "component which is to be used as part of a cross section data\n"
          << "set.\n";
} 
 
////////////////////////////////////////////////////////////////////////////////
//
// 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)
 
  if ( (theParticle == theAProton) || (theParticle == theANeutron) )
  {   
     if(A==1)
     { fTotalXsc = sigmaTotal * millibarn;
        return fTotalXsc;  }
 
     fRadiusEff = 1.34*std::pow(A,0.23)+1.35/std::pow(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 * std::pow(A,0.21) + 1.45 / std::pow(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* std::pow(A,0.21)+1.63/std::pow(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* std::pow(A,0.21)+1.1/std::pow(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.*std::log(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)
 
  if ( (theParticle == theAProton) || (theParticle == theANeutron) )
  {
   if (A==1)
      { fInelasticXsc = (sigmaTotal - sigmaElastic) * millibarn;
        return fInelasticXsc;  
      } 
   fRadiusEff = 1.31*std::pow(A, 0.22)+0.9/std::pow(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*std::pow(A, 0.21)+1.55/std::pow(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 * std::pow(A, 0.21)+1.51/std::pow(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*std::pow(A, 0.21)+1.05/std::pow(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* std::log(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/std::abs(aParticle->GetBaryonNumber()); // Uzhi 24 Nov. 2011
 
  if(Plab < 0.1) { Plab = 0.1; }    // Uzhi 24 Nov. 2011
 
  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*std::log(SqrtS/SqrtS0)*std::log(SqrtS/SqrtS0); //GeV^(-2)
  SigAss   = 36.04 +0.304*std::log(S/S0)*std::log(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)) / (std::pow(R0, 3.))
  *C* (1+d1/SqrtS+d2/(std::pow(SqrtS,2.))+d3/(std::pow(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*std::log(S/S0)*std::log(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)) / (std::pow(R0, 3.))
  *C* ( 1+d1/SqrtS+d2/(std::pow(SqrtS,2.))+d3/(std::pow(SqrtS,3.)) ));  
 
//  xsection *= millibarn;
 
 fAntiHadronNucleonElXsc = xsection;
 return fAntiHadronNucleonElXsc;
}