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"
#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";
}