G4ComponentGGHadronNucleusXsc.cc

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//
// author: V. Grichine
// 
// 25.04.12 V. Grichine - first implementation
//
// 04.09.18 V. Ivantchenko Major revision of interfaces and implementation
// 01.10.18 V. Grichine strange hyperon xsc
// 27.05.19 V. Ivantchenko Removed obsolete methods and members 
//
 
#include "G4ComponentGGHadronNucleusXsc.hh"
 
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4ParticleTable.hh"
#include "G4IonTable.hh"
#include "G4ParticleDefinition.hh"
#include "G4DynamicParticle.hh"
#include "G4HadronNucleonXsc.hh"
#include "G4Log.hh"
#include "G4NuclearRadii.hh"
 
//////////////////////////////////////////////////////////////////////////////
//
 
G4ComponentGGHadronNucleusXsc::G4ComponentGGHadronNucleusXsc() 
 : G4VComponentCrossSection(Default_Name()),
   fTotalXsc(0.0),fElasticXsc(0.0),fInelasticXsc(0.0),fProductionXsc(0.0),
   fDiffractionXsc(0.0),fAxsc2piR2(0.0),fModelInLog(0.0),fEnergy(0.0),
   fParticle(nullptr),fZ(0),fA(0)
{
  theGamma    = G4Gamma::Gamma();
  theProton   = G4Proton::Proton();
  theNeutron  = G4Neutron::Neutron();
  theAProton  = G4AntiProton::AntiProton();
  theANeutron = G4AntiNeutron::AntiNeutron();
  thePiPlus   = G4PionPlus::PionPlus();
  thePiMinus  = G4PionMinus::PionMinus();
  theKPlus    = G4KaonPlus::KaonPlus();
  theKMinus   = G4KaonMinus::KaonMinus();
  theK0S      = G4KaonZeroShort::KaonZeroShort();
  theK0L      = G4KaonZeroLong::KaonZeroLong();
 
  hnXsc = new G4HadronNucleonXsc();
}
 
/////////////////////////////////////////////////////////////////////////////
 
G4ComponentGGHadronNucleusXsc::~G4ComponentGGHadronNucleusXsc()
{
  delete hnXsc;
}
 
//////////////////////////////////////////////////////////////////////
 
G4double G4ComponentGGHadronNucleusXsc::GetTotalElementCrossSection(
                    const G4ParticleDefinition* aParticle,
                    G4double kinEnergy, G4int Z, G4double A)
{
  ComputeCrossSections(aParticle, kinEnergy, Z, G4lrint(A));
  return fTotalXsc;
}
 
////////////////////////////////////////////////////////////////////
 
G4double G4ComponentGGHadronNucleusXsc::GetTotalIsotopeCrossSection(
                    const G4ParticleDefinition* aParticle,
            G4double kinEnergy, G4int Z, G4int A)
{
  ComputeCrossSections(aParticle, kinEnergy, Z, A);
  return fTotalXsc;
}
 
/////////////////////////////////////////////////////////////////////
 
G4double G4ComponentGGHadronNucleusXsc::GetInelasticElementCrossSection(
                    const G4ParticleDefinition* aParticle,
            G4double kinEnergy, G4int Z, G4double A)
{
  ComputeCrossSections(aParticle, kinEnergy, Z, G4lrint(A));
  return fInelasticXsc;
}
 
////////////////////////////////////////////////////////////////////
 
G4double G4ComponentGGHadronNucleusXsc::GetInelasticIsotopeCrossSection(
                    const G4ParticleDefinition* aParticle,
            G4double kinEnergy, G4int Z, G4int A)
{
  ComputeCrossSections(aParticle, kinEnergy, Z, A);
  return fInelasticXsc;
}
 
//////////////////////////////////////////////////////////////////
 
G4double G4ComponentGGHadronNucleusXsc::GetElasticElementCrossSection(
                    const G4ParticleDefinition* aParticle,
            G4double kinEnergy, G4int Z, G4double A)
{
  ComputeCrossSections(aParticle, kinEnergy, Z, G4lrint(A));
  return fElasticXsc;
}
 
///////////////////////////////////////////////////////////////////
 
G4double G4ComponentGGHadronNucleusXsc::GetElasticIsotopeCrossSection(
                    const G4ParticleDefinition* aParticle,
            G4double kinEnergy, G4int Z, G4int A)
{
  ComputeCrossSections(aParticle, kinEnergy, Z, A);
  return fElasticXsc;
}
 
////////////////////////////////////////////////////////////////
 
G4double G4ComponentGGHadronNucleusXsc::ComputeQuasiElasticRatio(
                    const G4ParticleDefinition* aParticle,
            G4double kinEnergy, G4int Z, G4int A)
{
  ComputeCrossSections(aParticle, kinEnergy, Z, A);
  G4double ratio = (fInelasticXsc > 0.) 
    ? (fInelasticXsc - fProductionXsc)/fInelasticXsc : 0.;
  ratio = std::max(ratio, 0.);
  return ratio;
}
 
/////////////////////////////////////////////////////////////////////
 
G4double G4ComponentGGHadronNucleusXsc::GetProductionElementCrossSection(
                    const G4ParticleDefinition* aParticle,
            G4double kinEnergy, G4int Z, G4double A)
{
  ComputeCrossSections(aParticle, kinEnergy, Z, G4lrint(A));
  return fProductionXsc;
}
 
////////////////////////////////////////////////////////////////////
 
G4double G4ComponentGGHadronNucleusXsc::GetProductionIsotopeCrossSection(
                    const G4ParticleDefinition* aParticle,
            G4double kinEnergy, G4int Z, G4int A)
{
  ComputeCrossSections(aParticle, kinEnergy, Z, A);
  return fProductionXsc;
}
 
////////////////////////////////////////////////////////////////////////////
//
// Calculates total and inelastic Xsc, derives elastic as total 
// inelastic accordong to Glauber model with Gribov correction calculated 
// in the dipole approximation on light cone. Gaussian density of point-like 
// nucleons helps to calculate rest integrals of the model.
// [1] B.Z. Kopeliovich, nucl-th/0306044 + simplification above
 
void G4ComponentGGHadronNucleusXsc::ComputeCrossSections(
                const G4ParticleDefinition* aParticle, 
                G4double kinEnergy, G4int Z, G4int A)
{
  // check cache
  if(aParticle == fParticle && fZ == Z && fA == A && kinEnergy == fEnergy)
    { return; }
  fParticle = aParticle;
  fZ = Z;
  fA = A;
  fEnergy = kinEnergy;
 
  //
  G4double cofInelastic = 2.4;
  static const G4double cofTotal = 2.0;
  G4double sigma(0.0), hpInXsc(0.0), hnInXsc(0.0), R(0.0); 
  
  G4int N = std::max(A - Z, 0);  // number of neutrons
 
  if( aParticle == theKPlus || aParticle == theKMinus  || 
      aParticle == theK0S   || aParticle == theK0L) 
  {
    sigma = (1 == Z) 
      ? hnXsc->KaonNucleonXscNS(aParticle, theProton, kinEnergy)
      : Z*hnXsc->KaonNucleonXscGG(aParticle, theProton, kinEnergy);
    hpInXsc = hnXsc->GetInelasticHadronNucleonXsc();
 
    if(N > 0) { 
      sigma += N*hnXsc->KaonNucleonXscGG(aParticle, theNeutron, kinEnergy);
      hnInXsc = hnXsc->GetInelasticHadronNucleonXsc();
    }
    R = G4NuclearRadii::RadiusKNGG(A);
    cofInelastic = 2.2;
  }
  else
  {
    sigma = Z*hnXsc->HadronNucleonXsc(aParticle, theProton, kinEnergy);
    hpInXsc = hnXsc->GetInelasticHadronNucleonXsc();
 
    if(N > 0) { 
      sigma += N*hnXsc->HadronNucleonXsc(aParticle, theNeutron, kinEnergy);
      hnInXsc = hnXsc->GetInelasticHadronNucleonXsc();
    }
    R = G4NuclearRadii::RadiusHNGG(A);
  }
 
  G4double nucleusSquare = cofTotal*pi*R*R;   // basically 2piRR
  G4double ratio = sigma/nucleusSquare;
  G4double difratio = ratio/(1.+ratio);
  fDiffractionXsc = 0.5*nucleusSquare*( difratio - G4Log( 1. + difratio ) );
 
  if( A > 1 )
  { 
    fTotalXsc = nucleusSquare*G4Log( 1. + ratio )
      *GetParticleBarCorTot(aParticle, Z);
 
    // inelastic xsc
    fAxsc2piR2 = cofInelastic*ratio;
    fModelInLog = G4Log( 1. + fAxsc2piR2 );
    fInelasticXsc = nucleusSquare*fModelInLog/cofInelastic;
    G4double barcorr = GetParticleBarCorIn(aParticle, Z);
    fInelasticXsc *= barcorr;
    fElasticXsc = std::max(fTotalXsc - fInelasticXsc, 0.);
 
    G4double xratio = (Z*hpInXsc + N*hnInXsc)/nucleusSquare;
    fProductionXsc = 
      nucleusSquare*G4Log(1. + cofInelastic*xratio)*barcorr/cofInelastic;
    fProductionXsc = std::min(fProductionXsc, fInelasticXsc);
  }
  else // H
  {
    fTotalXsc = sigma;
    fInelasticXsc = hpInXsc;
    fElasticXsc   = std::max(fTotalXsc - fInelasticXsc, 0.);
    fProductionXsc = fInelasticXsc;
    fDiffractionXsc = 0.2*fInelasticXsc;
    // G4double xratio = hpInXsc/nucleusSquare;
    // fProductionXsc = nucleusSquare*G4Log(1. + cofInelastic*xratio)/cofInelastic;
    // fProductionXsc = std::min(fProductionXsc, fInelasticXsc);
  }
  /*  
  G4cout << "GGXsc: Z= " << Z << " A= " << A << " E= " << kinEnergy 
     << " xtot(b)= " << fTotalXsc/barn
     << " xel(b)= " <<  fElasticXsc/barn << " xinel(b)= " << fInelasticXsc/barn
     << G4endl;
  */
}
 
//////////////////////////////////////////////////////////////////////////
//
// Return single-diffraction/inelastic cross-section ratio
 
G4double G4ComponentGGHadronNucleusXsc::GetRatioSD(
         const G4DynamicParticle* aParticle, G4int A, G4int Z)
{
  ComputeCrossSections(aParticle->GetDefinition(), 
               aParticle->GetKineticEnergy(), Z, A);
 
  return (fInelasticXsc > 0.0) ? fDiffractionXsc/fInelasticXsc : 0.0;
}
 
//////////////////////////////////////////////////////////////////////////
//
// Return quasi-elastic/inelastic cross-section ratio
 
G4double G4ComponentGGHadronNucleusXsc::
GetRatioQE(const G4DynamicParticle* aParticle, G4int A, G4int Z)
{
  ComputeCrossSections(aParticle->GetDefinition(), 
               aParticle->GetKineticEnergy(), Z, A);
 
  return (fInelasticXsc > std::max(fProductionXsc, 0.)) 
    ? 1.0 - fProductionXsc/fInelasticXsc : 0.0;
}
 
/////////////////////////////////////////////////////////////////////////////////////
//
// Returns hadron-nucleon total Xsc according to different parametrisations:
 
G4double G4ComponentGGHadronNucleusXsc::GetHadronNucleonXsc(
         const G4DynamicParticle* aParticle, const G4Element* anElement)
{
  G4int At = G4lrint(anElement->GetN());  // number of nucleons 
  G4int Zt = anElement->GetZasInt();  // number of protons
 
  return GetHadronNucleonXsc(aParticle, At, Zt);
}
 
/////////////////////////////////////////////////////////////////////////////////////
//
// Returns hadron-nucleon total Xsc according to different parametrisations:
 
G4double G4ComponentGGHadronNucleusXsc::GetHadronNucleonXsc(
         const G4DynamicParticle* aParticle, G4int, G4int)
{
  return hnXsc->HadronNucleonXscEL(aParticle->GetDefinition(), theProton, 
                   aParticle->GetKineticEnergy());
}
 
/////////////////////////////////////////////////////////////////////////////////////
//
// Returns hadron-nucleon total Xsc according to PDG parametrisation
//
 
G4double G4ComponentGGHadronNucleusXsc::GetHadronNucleonXscPDG(
         const G4DynamicParticle* aParticle, const G4Element* anElement)
{
  G4int At = G4lrint(anElement->GetN());  // number of nucleons 
  G4int Zt = anElement->GetZasInt();      // number of protons
 
  return GetHadronNucleonXscPDG(aParticle, At, Zt);
}
 
/////////////////////////////////////////////////////////////////////////////////////
//
// Returns hadron-nucleon total Xsc according to PDG parametrisation 
//
 
G4double G4ComponentGGHadronNucleusXsc::GetHadronNucleonXscPDG(
         const G4DynamicParticle* aParticle, G4int At, G4int Zt)
{
  G4double res = 0.0;
  if(1 == At && 1 == Zt) {
    res = hnXsc->HadronNucleonXscPDG(aParticle->GetDefinition(), theProton, 
                     aParticle->GetKineticEnergy());
  } else if(1 == At && 0 == Zt) {
    res = hnXsc->HadronNucleonXscPDG(aParticle->GetDefinition(), theNeutron, 
                     aParticle->GetKineticEnergy());
  } else {
    ComputeCrossSections(aParticle->GetDefinition(),
             aParticle->GetKineticEnergy(), Zt, At);
    res = fTotalXsc;
  }
  return res;
}
 
/////////////////////////////////////////////////////////////////////////////////////
//
// Returns hadron-nucleon total cross-section based on N. Starkov parametrisation of
// data from mainly http://wwwppds.ihep.su:8001/c5-6A.html database
 
G4double G4ComponentGGHadronNucleusXsc::GetHadronNucleonXscNS(
         const G4DynamicParticle* aParticle, const G4Element* anElement)
{
  G4int At = G4lrint(anElement->GetN());  // number of nucleons 
  G4int Zt = anElement->GetZasInt();      // number of protons
 
  return GetHadronNucleonXscNS(aParticle, At, Zt);
}
 
////////////////////////////////////////////////////////////////////////////
//
// Returns hadron-nucleon total cross-section based on N. Starkov parametrisation of
// data from mainly http://wwwppds.ihep.su:8001/c5-6A.html database
 
G4double G4ComponentGGHadronNucleusXsc::GetHadronNucleonXscNS(
         const G4DynamicParticle* aParticle, G4int At, G4int Zt)
{
  G4double res = 0.0;
  if(1 == At && 1 == Zt) {
    res = hnXsc->HadronNucleonXscNS(aParticle->GetDefinition(), theProton, 
                    aParticle->GetKineticEnergy());
  } else if(1 == At && 0 == Zt) {
    res = hnXsc->HadronNucleonXscNS(aParticle->GetDefinition(), theNeutron, 
                    aParticle->GetKineticEnergy());
  }
  return res;
}
 
/////////////////////////////////////////////////////////////////////////////////////
//
// Returns hadron-nucleon inelastic cross-section based on proper parametrisation 
 
G4double 
G4ComponentGGHadronNucleusXsc::GetHNinelasticXsc(const G4DynamicParticle* aParticle, 
                                                 const G4Element* anElement)
{
  G4int At = G4lrint(anElement->GetN());  // number of nucleons 
  G4int Zt = anElement->GetZasInt();      // number of protons
 
  return GetHNinelasticXsc(aParticle, At, Zt);
}
 
/////////////////////////////////////////////////////////////////////////////////////
//
// Returns hadron-nucleon inelastic cross-section based on proper parametrisation 
 
G4double G4ComponentGGHadronNucleusXsc::GetHNinelasticXsc(
         const G4DynamicParticle* aParticle, G4int At,  G4int Zt)
{
  const G4ParticleDefinition* hadron = aParticle->GetDefinition();
  G4double e = aParticle->GetKineticEnergy();
  G4int Nt = std::max(At - Zt, 0);
 
  hnXsc->HadronNucleonXscNS(hadron, theProton, e);
  G4double sumInelastic = Zt*hnXsc->GetInelasticHadronNucleonXsc();
  if(Nt > 0) {
    hnXsc->HadronNucleonXscNS(hadron, theNeutron, e);
    sumInelastic += Nt*hnXsc->GetInelasticHadronNucleonXsc();
  }
  return sumInelastic;
}
 
/////////////////////////////////////////////////////////////////////////////////////
//
// Returns hadron-nucleon inelastic cross-section based on FTF-parametrisation 
 
G4double G4ComponentGGHadronNucleusXsc::GetHNinelasticXscVU(
         const G4DynamicParticle* aParticle, G4int At, G4int Zt)
{
  const G4ParticleDefinition* hadron = aParticle->GetDefinition();
  G4double e = aParticle->GetKineticEnergy();
  G4int Nt = std::max(At - Zt, 0);
 
  hnXsc->HadronNucleonXscVU(hadron, theProton, e);
  G4double sumInelastic = Zt*hnXsc->GetInelasticHadronNucleonXsc();
  if(Nt > 0) {
    hnXsc->HadronNucleonXscVU(hadron, theNeutron, e);
    sumInelastic += Nt*hnXsc->GetInelasticHadronNucleonXsc();
  }
  return sumInelastic;
}
 
///////////////////////////////////////////////////////////////////////
//
//
 
void G4ComponentGGHadronNucleusXsc::Description(std::ostream& outFile) const
{
  outFile << "G4ComponentGGHadronNucleusXsc calculates total, inelastic and\n"
          << "elastic cross sections for hadron-nucleus cross sections using\n"
          << "the Glauber model with Gribov corrections.  It is valid for all\n"
          << "targets except hydrogen, and for incident p, pbar, n, sigma-,\n"
          << "pi+, pi-, K+, K- and gammas with energies above 3 GeV.  This is\n"
          << "a cross section component which is to be used to build a cross\n"
          << "data set.\n";
}
 
 
///////////////////////////////////////////////////////////////////////////////
//
// Correction arrays for GG <-> Bar changea at ~ 90 GeV
 
const G4double G4ComponentGGHadronNucleusXsc::fNeutronBarCorrectionTot[93] = {
 
  1.0, 1.0,     1.42517e+00,  // 1.118517e+00, 
1.082002e+00, 1.116171e+00, 1.078747e+00, 1.061315e+00, 
1.058205e+00, 1.082663e+00, 1.068500e+00, 1.076912e+00, 1.083475e+00, 1.079117e+00, 
1.071856e+00, 1.071990e+00, 1.073774e+00, 1.079356e+00, 1.081314e+00, 1.082056e+00,
1.090772e+00, 1.096776e+00, 1.095828e+00, 1.097678e+00, 1.099157e+00, 1.103677e+00, 
1.105132e+00, 1.109806e+00, 1.110816e+00, 1.117378e+00, 1.115165e+00, 1.115710e+00, 
1.111855e+00, 1.110482e+00, 1.110112e+00, 1.106676e+00, 1.108706e+00, 1.105549e+00, 
1.106318e+00, 1.106242e+00, 1.107672e+00, 1.107342e+00, 1.108119e+00, 1.106655e+00, 
1.102588e+00, 1.096657e+00, 1.092920e+00, 1.086629e+00, 1.083592e+00, 1.076030e+00, 
1.083777e+00, 1.089460e+00, 1.086545e+00, 1.079924e+00, 1.082218e+00, 1.077798e+00, 
1.077062e+00, 1.072825e+00, 1.072241e+00, 1.072104e+00, 1.072490e+00, 1.069829e+00, 
1.070398e+00, 1.065458e+00, 1.064968e+00, 1.060524e+00, 1.060048e+00, 1.057620e+00, 
1.056428e+00, 1.055366e+00, 1.055017e+00, 1.052304e+00, 1.051767e+00, 1.049728e+00, 
1.048745e+00, 1.047399e+00, 1.045876e+00, 1.042972e+00, 1.041824e+00, 1.039993e+00, 
1.039021e+00, 1.036627e+00, 1.034176e+00, 1.032526e+00, 1.033633e+00, 1.036107e+00, 
1.037803e+00, 1.031266e+00, 1.032991e+00, 1.033284e+00, 1.035015e+00, 1.033945e+00, 
1.037075e+00, 1.034721e+00
 
};
 
const G4double G4ComponentGGHadronNucleusXsc::fNeutronBarCorrectionIn[93] = {
 
1.0, 1.0,     1.167421e+00, 1.156250e+00, 1.205364e+00, 1.154225e+00, 1.120391e+00, // 6
1.124632e+00, 1.129460e+00, 1.107863e+00, 1.102152e+00, 1.104593e+00, 1.100285e+00, // 12
1.098450e+00, 1.092677e+00, 1.101124e+00, 1.106461e+00, 1.115049e+00, 1.123903e+00, // 18
1.126661e+00, 1.131259e+00, 1.133949e+00, 1.134185e+00, 1.133767e+00, 1.132813e+00, // 24
1.131515e+00, 1.144338e+00, // 1.130338e+00, 
1.134171e+00, 1.139206e+00, 1.148474e+00, // 1.141474e+00, 
1.142189e+00, 
1.140725e+00, 1.140100e+00, 1.139848e+00, 1.137674e+00, 1.138645e+00, 1.136339e+00, 
1.136439e+00, 1.135946e+00, 1.136431e+00, 1.135702e+00, 1.135703e+00, 1.134113e+00, 
1.131935e+00, 1.128381e+00, 1.126373e+00, 1.122453e+00, 1.120908e+00, 1.115953e+00, 
1.115947e+00, 1.114426e+00, 1.111749e+00, 1.106207e+00, 1.107494e+00, 1.103622e+00, 
1.102576e+00, 1.098816e+00, 1.097889e+00, 1.097306e+00, 1.097130e+00, 1.094578e+00, 
1.094552e+00, 1.090222e+00, 1.089358e+00, 1.085409e+00, 1.084560e+00, 1.082182e+00, 
1.080773e+00, 1.079464e+00, 1.078724e+00, 1.076121e+00, 1.075235e+00, 1.073159e+00, 
1.071920e+00, 1.070395e+00, 1.069503e+00, 1.067525e+00, 1.066919e+00, 1.065779e+00, 
1.065319e+00, 1.063730e+00, 1.062092e+00, 1.061085e+00, 1.059908e+00, 1.059815e+00, 
1.059109e+00, 1.051920e+00, 1.051258e+00, 1.049473e+00, 1.048823e+00, 1.045984e+00, 
1.046435e+00, 1.042614e+00
 
};
 
const G4double G4ComponentGGHadronNucleusXsc::fProtonBarCorrectionTot[93] = {
 
1.0, 1.0,     
1.118515e+00, 1.082000e+00, 1.116169e+00, 1.078745e+00, 1.061313e+00, 1.058203e+00, 
1.082661e+00, 1.068498e+00, 1.076910e+00, 1.083474e+00, 1.079115e+00, 1.071854e+00, 
1.071988e+00, 1.073772e+00, 1.079355e+00, 1.081312e+00, 1.082054e+00, 1.090770e+00, 
1.096774e+00, 1.095827e+00, 1.097677e+00, 1.099156e+00, 1.103676e+00, 1.105130e+00, 
1.109805e+00, 1.110814e+00, 1.117377e+00, 1.115163e+00, 1.115708e+00, 1.111853e+00, 
1.110480e+00, 1.110111e+00, 1.106674e+00, 1.108705e+00, 1.105548e+00, 1.106317e+00, 
1.106241e+00, 1.107671e+00, 1.107341e+00, 1.108118e+00, 1.106654e+00, 1.102586e+00, 
1.096655e+00, 1.092918e+00, 1.086628e+00, 1.083590e+00, 1.076028e+00, 1.083776e+00, 
1.089458e+00, 1.086543e+00, 1.079923e+00, 1.082216e+00, 1.077797e+00, 1.077061e+00, 
1.072824e+00, 1.072239e+00, 1.072103e+00, 1.072488e+00, 1.069828e+00, 1.070396e+00, 
1.065456e+00, 1.064966e+00, 1.060523e+00, 1.060047e+00, 1.057618e+00, 1.056427e+00, 
1.055365e+00, 1.055016e+00, 1.052303e+00, 1.051766e+00, 1.049727e+00, 1.048743e+00, 
1.047397e+00, 1.045875e+00, 1.042971e+00, 1.041823e+00, 1.039992e+00, 1.039019e+00, 
1.036626e+00, 1.034175e+00, 1.032525e+00, 1.033632e+00, 1.036106e+00, 1.037802e+00, 
1.031265e+00, 1.032990e+00, 1.033283e+00, 1.035014e+00, 1.033944e+00, 1.037074e+00, 
1.034720e+00 
 
};
 
const G4double G4ComponentGGHadronNucleusXsc::fProtonBarCorrectionIn[93] = {
 
1.0, 1.0,     
1.147419e+00, // 1.167419e+00, 
1.156248e+00, 1.205362e+00, 1.154224e+00, 1.120390e+00, 1.124630e+00, // 7 
1.129459e+00, 1.107861e+00, 1.102151e+00, 1.104591e+00, 1.100284e+00, 1.098449e+00, // 13
1.092675e+00, 1.101122e+00, 1.106460e+00, 1.115048e+00, 1.123902e+00, 1.126659e+00, // 19
1.131258e+00, 1.133948e+00, 1.134183e+00, 1.133766e+00, 1.132812e+00, 1.131514e+00, // 25
1.140337e+00, // 1.130337e+00, 
 
1.134170e+00, 1.139205e+00, 1.151472e+00,  // 1.141472e+00, 
1.142188e+00, 1.140724e+00, 
1.140099e+00, 1.139847e+00, 1.137672e+00, 1.138644e+00, 1.136338e+00, 1.136438e+00, 
1.135945e+00, 1.136429e+00, 1.135701e+00, 1.135702e+00, 1.134112e+00, 1.131934e+00, 
1.128380e+00, 1.126371e+00, 1.122452e+00, 1.120907e+00, 1.115952e+00, 1.115946e+00, 
1.114425e+00, 1.111748e+00, 1.106205e+00, 1.107493e+00, 1.103621e+00, 1.102575e+00, 
1.098815e+00, 1.097888e+00, 1.097305e+00, 1.097129e+00, 1.094577e+00, 1.094551e+00, 
1.090221e+00, 1.089357e+00, 1.085408e+00, 1.084559e+00, 1.082181e+00, 1.080772e+00, 
1.079463e+00, 1.078723e+00, 1.076120e+00, 1.075234e+00, 1.073158e+00, 1.071919e+00, 
1.070394e+00, 1.069502e+00, 1.067524e+00, 1.066918e+00, 1.065778e+00, 1.065318e+00, 
1.063729e+00, 1.062091e+00, 1.061084e+00, 1.059907e+00, 1.059814e+00, 1.059108e+00, 
1.051919e+00, 1.051257e+00, 1.049472e+00, 1.048822e+00, 1.045983e+00, 1.046434e+00, 
1.042613e+00 
 
};
 
 
const G4double G4ComponentGGHadronNucleusXsc::fPionPlusBarCorrectionTot[93] = {
 
1.0, 1.0,     
1.075927e+00, 1.074407e+00, 1.126098e+00, 1.100127e+00, 1.089742e+00, 1.083536e+00, 
1.089988e+00, 1.103566e+00, 1.096922e+00, 1.126573e+00, 1.132734e+00, 1.136512e+00, 
1.136629e+00, 1.133086e+00, 1.132428e+00, 1.129299e+00, 1.125622e+00, 1.126992e+00, 
1.127840e+00, 1.162670e+00, 1.160392e+00, 1.157864e+00, 1.157227e+00, 1.154627e+00, 
1.192555e+00, 1.197243e+00, 1.197911e+00, 1.200326e+00, 1.220053e+00, 1.215019e+00, 
1.211703e+00, 1.209080e+00, 1.204248e+00, 1.203328e+00, 1.198671e+00, 1.196840e+00, 
1.194392e+00, 1.193037e+00, 1.190408e+00, 1.188583e+00, 1.206127e+00, 1.210028e+00, 
1.206434e+00, 1.204456e+00, 1.200547e+00, 1.199058e+00, 1.200174e+00, 1.200276e+00, 
1.198912e+00, 1.213048e+00, 1.207160e+00, 1.208020e+00, 1.203814e+00, 1.202380e+00, 
1.198306e+00, 1.197002e+00, 1.196027e+00, 1.195449e+00, 1.192563e+00, 1.192135e+00, 
1.187556e+00, 1.186308e+00, 1.182124e+00, 1.180900e+00, 1.178224e+00, 1.176471e+00, 
1.174811e+00, 1.173702e+00, 1.170827e+00, 1.169581e+00, 1.167205e+00, 1.165626e+00, 
1.180244e+00, 1.177626e+00, 1.175121e+00, 1.173903e+00, 1.172192e+00, 1.171128e+00, 
1.168997e+00, 1.166826e+00, 1.164130e+00, 1.165412e+00, 1.165504e+00, 1.165020e+00, 
1.158462e+00, 1.158014e+00, 1.156519e+00, 1.156081e+00, 1.153602e+00, 1.154190e+00, 
1.152974e+00
 
};
 
const G4double G4ComponentGGHadronNucleusXsc::fPionPlusBarCorrectionIn[93] = {
 
1.0, 1.0,    
1.140246e+00, 1.097872e+00, 1.104301e+00, 1.068722e+00, 1.056495e+00, 1.062622e+00, // 7
1.047987e+00, 1.037032e+00, 1.035686e+00, 1.042870e+00, 1.052222e+00, 1.075100e+00, // 13
1.084480e+00, 1.078286e+00, 1.081488e+00, 1.089713e+00, 1.099105e+00, 1.098003e+00, // 19
1.102175e+00, 1.117707e+00, 1.121734e+00, 1.125229e+00, 1.126457e+00, 1.128905e+00, // 25
1.163312e+00, 1.126263e+00, 1.126459e+00, 1.135191e+00, 1.116986e+00, 1.117184e+00, // 31
1.117037e+00, 1.116777e+00, 1.115858e+00, 1.115745e+00, 1.114489e+00, 1.113993e+00, // 37
1.113226e+00, 1.112818e+00, 1.111890e+00, 1.111238e+00, 1.111209e+00, 1.111775e+00, // 43
1.110256e+00, 1.109414e+00, 1.107647e+00, 1.106980e+00, 1.106096e+00, 1.107331e+00, // 49
1.107849e+00, 1.106407e+00, 1.103426e+00, 1.103896e+00, 1.101756e+00, 1.101031e+00, // 55
1.098915e+00, 1.098260e+00, 1.097768e+00, 1.097487e+00, 1.095964e+00, 1.095773e+00, // 61
1.093348e+00, 1.092687e+00, 1.090465e+00, 1.089821e+00, 1.088394e+00, 1.087462e+00, // 67
1.086571e+00, 1.085997e+00, 1.084451e+00, 1.083798e+00, 1.082513e+00, 1.081670e+00, // 73
1.080735e+00, 1.075659e+00, 1.074341e+00, 1.073689e+00, 1.072787e+00, 1.072237e+00, // 79
1.071107e+00, 1.069955e+00, 1.074856e+00, 1.065873e+00, 1.065938e+00, 1.065694e+00, 
1.062192e+00, 1.061967e+00, 1.061180e+00, 1.060960e+00, 1.059646e+00, 1.059975e+00, 
1.059658e+00
 
};
 
 
const G4double G4ComponentGGHadronNucleusXsc::fPionMinusBarCorrectionTot[93] = {
 
1.0, 1.0,     
1.3956e+00, 1.077959e+00, 1.129145e+00, 1.102088e+00, 1.089765e+00, 1.083542e+00,  // 7
1.089995e+00, 1.104895e+00, 1.097154e+00, 1.127663e+00, 1.133063e+00, 1.137425e+00, // 13
1.136724e+00, 1.133859e+00, 1.132498e+00, 1.130276e+00, 1.127896e+00, 1.127656e+00, // 19
1.127905e+00, 1.164210e+00, 1.162259e+00, 1.160075e+00, 1.158978e+00, 1.156649e+00, // 25 
1.194157e+00, 1.199177e+00, 1.198983e+00, 1.202325e+00, 1.221967e+00, 1.217548e+00, 
1.214389e+00, 1.211760e+00, 1.207335e+00, 1.206081e+00, 1.201766e+00, 1.199779e+00, 
1.197283e+00, 1.195706e+00, 1.193071e+00, 1.191115e+00, 1.208838e+00, 1.212681e+00, 
1.209235e+00, 1.207163e+00, 1.203451e+00, 1.201807e+00, 1.203283e+00, 1.203388e+00, 
1.202244e+00, 1.216509e+00, 1.211066e+00, 1.211504e+00, 1.207539e+00, 1.205991e+00, 
1.202143e+00, 1.200724e+00, 1.199595e+00, 1.198815e+00, 1.196025e+00, 1.195390e+00, 
1.191137e+00, 1.189791e+00, 1.185888e+00, 1.184575e+00, 1.181996e+00, 1.180229e+00, 
1.178545e+00, 1.177355e+00, 1.174616e+00, 1.173312e+00, 1.171016e+00, 1.169424e+00, 
1.184120e+00, 1.181478e+00, 1.179085e+00, 1.177817e+00, 1.176124e+00, 1.175003e+00, 
1.172947e+00, 1.170858e+00, 1.168170e+00, 1.169397e+00, 1.169304e+00, 1.168706e+00, 
1.162774e+00, 1.162217e+00, 1.160740e+00, 1.160196e+00, 1.157857e+00, 1.158220e+00, 
1.157267e+00 
};
 
const G4double G4ComponentGGHadronNucleusXsc::fPionMinusBarCorrectionIn[93] = {
 
1.0, 1.0,    
1.463e+00,    1.100898e+00, 1.106773e+00, 1.070289e+00, 1.040514e+00, 1.062628e+00, // 7
1.047992e+00, 1.038041e+00, 1.035862e+00, 1.043679e+00, 1.052466e+00, 1.065780e+00, // 13
1.070551e+00, 1.078869e+00, 1.081541e+00, 1.090455e+00, 1.100847e+00, 1.098511e+00, // 19 
1.102226e+00, 1.118865e+00, 1.123143e+00, 1.126904e+00, 1.127785e+00, 1.130444e+00, // 25
1.148502e+00, 1.127678e+00, 1.127244e+00, 1.123634e+00, 1.118347e+00, 1.118988e+00, 
1.118957e+00, 1.118696e+00, 1.118074e+00, 1.117722e+00, 1.116717e+00, 1.116111e+00, 
1.115311e+00, 1.114745e+00, 1.113814e+00, 1.113069e+00, 1.113141e+00, 1.113660e+00, 
1.112249e+00, 1.111343e+00, 1.109718e+00, 1.108942e+00, 1.108310e+00, 1.109549e+00, 
1.110227e+00, 1.108846e+00, 1.106183e+00, 1.106354e+00, 1.104388e+00, 1.103583e+00, 
1.101632e+00, 1.100896e+00, 1.100296e+00, 1.099873e+00, 1.098420e+00, 1.098082e+00, 
1.095892e+00, 1.095162e+00, 1.093144e+00, 1.092438e+00, 1.091083e+00, 1.090142e+00, 
1.089236e+00, 1.088604e+00, 1.087159e+00, 1.086465e+00, 1.085239e+00, 1.084388e+00, 
1.083473e+00, 1.078373e+00, 1.077136e+00, 1.076450e+00, 1.075561e+00, 1.074973e+00, 
1.073898e+00, 1.072806e+00, 1.067706e+00, 1.068684e+00, 1.068618e+00, 1.068294e+00, 
1.065241e+00, 1.064939e+00, 1.064166e+00, 1.063872e+00, 1.062659e+00, 1.062828e+00, 
1.062699e+00 
 
};
 
 
//
//
///////////////////////////////////////////////////////////////////////////////////////