source: trunk/source/processes/hadronic/cross_sections/src/G4IonsKoxCrossSection.cc@ 1007

//
// ********************************************************************
// * 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 *
// * LICENSE and available at  http://cern.ch/geant4/license .  These *
// * include a list of copyright holders.                             *
// *                                                                  *
// * Neither the authors of this software system, nor their employing *
// * institutes,nor the agencies providing financial support for this *
// * 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 *
// * use  in  resulting  scientific  publications,  and indicate your *
// * acceptance of all terms of the Geant4 Software license.          *
// ********************************************************************
//
// 18-Sep-2003 First version is written by T. Koi
// 10-Nov-2003 Bug fix at Cal. ke_per_n and D T. Koi
// 12-Nov-2003 Add energy check at lower side T. Koi
// 26-Dec-2006 Add isotope dependence D. Wright

#include "G4IonsKoxCrossSection.hh"
#include "G4ParticleTable.hh"
#include "G4IonTable.hh"

G4double G4IonsKoxCrossSection::
GetIsoZACrossSection(const G4DynamicParticle* aParticle, G4double ZZ, 
                     G4double AA, G4double /*temperature*/)
{
   G4double xsection = 0.0;

   G4int Ap = aParticle->GetDefinition()->GetBaryonNumber();
   G4int Zp = int ( aParticle->GetDefinition()->GetPDGCharge() / eplus + 0.5); 
   G4double ke_per_N = aParticle->GetKineticEnergy() / Ap;

// Apply energy check, if less than lower limit then 0 value is returned
   if (  ke_per_N < lowerLimit )
      return xsection;

   G4int At = int (AA + 0.5);
   G4int Zt = int (ZZ + 0.5 );  

   G4double one_third = 1.0 / 3.0;

   G4double cubicrAt = std::pow ( G4double(At) , G4double(one_third) );  
   G4double cubicrAp = std::pow ( G4double(Ap) , G4double(one_third) );  


   G4double Bc = Zt * Zp / ( ( rc / fermi ) * (  cubicrAp + cubicrAt ) );   // rc divide fermi

   G4double Rvol = r0 * (  cubicrAp + cubicrAt );

//   G4double ke_per_N = aParticle->GetKineticEnergy() / Ap;
   G4double c = calCeValue ( ke_per_N / MeV  );  

   G4double a = 1.85;
   G4double Rsurf = r0 * ( a * cubicrAp * cubicrAt / ( cubicrAp + cubicrAt ) - c); 
   G4double D = 5.0 * ( At - 2 * Zt ) * Zp / ( Ap * At );
   Rsurf = Rsurf + D * fermi;  // multiply D by fermi 

   G4double Rint = Rvol + Rsurf;

   G4double targ_mass = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIonMass( Zt , At ); 
   G4double proj_mass = aParticle->GetMass(); 
   G4double proj_momentum = aParticle->GetMomentum().mag(); 

   G4double Ecm = calEcm ( proj_mass , targ_mass , proj_momentum ); 

   xsection = pi * Rint * Rint * ( 1 - Bc / ( Ecm / MeV ) );
  
   return xsection; 
}

G4double G4IonsKoxCrossSection::
GetCrossSection(const G4DynamicParticle* aParticle, 
                const G4Element* anElement, G4double temperature)
{
  G4int nIso = anElement->GetNumberOfIsotopes();
  G4double xsection = 0;

  if (nIso) {
    G4double sig;
    G4IsotopeVector* isoVector = anElement->GetIsotopeVector();
    G4double* abundVector = anElement->GetRelativeAbundanceVector();
    G4double ZZ;
    G4double AA;
     
    for (G4int i = 0; i < nIso; i++) {
      ZZ = G4double( (*isoVector)[i]->GetZ() );
      AA = G4double( (*isoVector)[i]->GetN() );
      sig = GetIsoZACrossSection(aParticle, ZZ, AA, temperature);
      xsection += sig*abundVector[i];
    }
   
  } else {
    xsection =
      GetIsoZACrossSection(aParticle, anElement->GetZ(), anElement->GetN(),
                           temperature);
  }
    
  return xsection;
}


G4double G4IonsKoxCrossSection::calEcm ( G4double mp , G4double mt , G4double Plab )
{
   G4double Elab = std::sqrt ( mp * mp + Plab * Plab );
   G4double Ecm = std::sqrt ( mp * mp + mt * mt + 2 * Elab * mt );
   G4double Pcm = Plab * mt / Ecm;
   G4double KEcm = std::sqrt ( Pcm * Pcm + mp * mp ) - mp;
   return KEcm;
}


G4double G4IonsKoxCrossSection::calCeValue( const G4double ke )
{
   // Calculate c value 
   // This value is indepenent from projectile and target particle 
   // ke is projectile kinetic energy per nucleon in the Lab system with MeV unit 
   // fitting function is made by T. Koi 
   // There are no data below 30 MeV/n in Kox et al., 

   G4double Ce; 
   G4double log10_ke = std::log10 ( ke );   
   if ( log10_ke > 1.5 ) 
   {
      Ce = - 10.0 / std::pow ( G4double(log10_ke) , G4double(5) ) + 2.0;
   }
   else
   {
      Ce = ( - 10.0 / std::pow ( G4double(1.5) , G4double(5) ) + 2.0 ) / std::pow ( G4double(1.5) , G4double(3) ) * std::pow ( G4double(log10_ke) , G4double(3) );

   }
   return Ce;
}