G4PreCompoundTriton.cc

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// $Id: G4PreCompoundTriton.cc 90591 2015-06-04 13:45:29Z gcosmo $
//
// -------------------------------------------------------------------
//
// GEANT4 Class file
//
//
// File name:     G4PreCompoundTriton
//
// Author:         V.Lara
//
// Modified:  
// 21.08.2008 J. M. Quesada add choice of options  
// 20.08.2010 V.Ivanchenko added G4Pow and G4PreCompoundParameters pointers
//                         use int Z and A and cleanup
// 05.07.2013 J.M. Quesada FactorialFactor fixed
//
 
#include "G4PreCompoundTriton.hh"
#include "G4SystemOfUnits.hh"
#include "G4Triton.hh"

G4PreCompoundTriton::G4PreCompoundTriton()
  : G4PreCompoundIon(G4Triton::Triton(), &theTritonCoulombBarrier)
{
  ResidualA = GetRestA();
  ResidualZ = GetRestZ(); 
  theA = GetA();
  theZ = GetZ();
  ResidualAthrd = ResidualA13();
  FragmentAthrd = ResidualAthrd;
  FragmentA = theA + ResidualA;
}

G4PreCompoundTriton::~G4PreCompoundTriton()
{}

G4double G4PreCompoundTriton::FactorialFactor(G4int N, const G4int P)
{
  return G4double((N-3)*(P-2)*(N-2)*(P-1)*(N-1)*P)/12.0; 
}
  
G4double G4PreCompoundTriton::CoalescenceFactor(G4int A)
{
  return 243.0/G4double(A*A);
}    

G4double G4PreCompoundTriton::GetRj(G4int nParticles, G4int nCharged)
{
  G4double rj = 0.0;
  if(nCharged >= 1 && (nParticles-nCharged) >= 2) {
    G4double denominator = 
      G4double(nParticles*(nParticles-1)*(nParticles-2));
    rj = G4double(3*nCharged*(nParticles-nCharged)*(nParticles-nCharged-1))
      /denominator; 
  }
  return rj;
}

//J. M. Quesada (Dec 2007-June 2008): New inverse reaction cross sections 
//OPT=0 Dostrovski's parameterization
//OPT=1,2 Chatterjee's paramaterization 
//OPT=3,4 Kalbach's parameterization 
// 
G4double G4PreCompoundTriton::CrossSection(G4double K)
{
  ResidualA = GetRestA();
  ResidualZ = GetRestZ(); 
  theA = GetA();
  theZ = GetZ();
  ResidualAthrd = ResidualA13();
  FragmentA = theA + ResidualA;
  FragmentAthrd = g4pow->Z13(FragmentA);

  if (OPTxs==0) { return GetOpt0( K); }
  else if( OPTxs==1 || OPTxs==2) { return GetOpt12( K); }
  else if (OPTxs==3 || OPTxs==4) { return GetOpt34( K); }
  else{
    std::ostringstream errOs;
    errOs << "BAD TRITON CROSS SECTION OPTION !!"  <<G4endl;
    throw G4HadronicException(__FILE__, __LINE__, errOs.str());
    return 0.;
  }
}

G4double G4PreCompoundTriton::GetAlpha()
{
  G4double C = 0.0;
  G4int aZ = theZ + ResidualZ;
  if (aZ >= 70) 
    {
      C = 0.10;
    } 
  else 
    {
      C = ((((0.15417e-06*aZ) - 0.29875e-04)*aZ + 0.21071e-02)*aZ - 0.66612e-01)*aZ + 0.98375; 
    }
 
  return 1.0 + C/3.0;
}

//
//********************* OPT=1,2 : Chatterjee's cross section *****************
//(fitting to cross section from Bechetti & Greenles OM potential)

G4double G4PreCompoundTriton::GetOpt12(G4double K)
{
  G4double Kc=K;

  // JMQ xsec is set constat above limit of validity
  if (K > 50*MeV) { Kc=50*MeV; }

  G4double landa ,mu ,nu ,p , Ec,q,r,ji,xs;
 
  const G4double p0 = -11.04;
  const G4double p1 = 619.1;
  const G4double p2 = -2147.;
  const G4double landa0 = -0.0426;
  const G4double landa1 = -10.33;
  const G4double mm0 = 601.9;
  const G4double mu1 = 0.37;
  const G4double nu0 = 583.0;
  const G4double nu1 = -546.2;
  const G4double nu2 = 1.718;  
  const G4double delta=1.2;            

  Ec = 1.44*theZ*ResidualZ/(1.5*ResidualAthrd+delta);
  p = p0 + p1/Ec + p2/(Ec*Ec);
  landa = landa0*ResidualA + landa1;

  G4double resmu1 = g4pow->powZ(ResidualA,mu1); 
  mu = mm0*resmu1;
  nu = resmu1*(nu0 + nu1*Ec + nu2*(Ec*Ec));
  q = landa - nu/(Ec*Ec) - 2*p*Ec;
  r = mu + 2*nu/Ec + p*(Ec*Ec);
  
  ji=std::max(Kc,Ec);
  if(Kc < Ec) { xs = p*Kc*Kc + q*Kc + r;}
  else {xs = p*(Kc - ji)*(Kc - ji) + landa*Kc + mu + nu*(2 - Kc/ji)/ji ;}
                               
  xs = std::max(xs, 0.0);
  return xs;
}

// *********** OPT=3,4 : Kalbach's cross sections (from PRECO code)*************
G4double G4PreCompoundTriton::GetOpt34(G4double K)
//     ** t from o.m. of hafele, flynn et al
{
  const G4double  flow = 1.e-18;
  const G4double  spill= 1.e+18;

  const G4double  p0 = -21.45;
  const G4double  p1 = 484.7;
  const G4double  p2 = -1608.;
  const G4double  landa0 = 0.0186;
  const G4double  landa1 = -8.90;
  const G4double  mm0 = 686.3;
  const G4double  mu1 = 0.325;
  const G4double  nu0 = 368.9;
  const G4double  nu1 = -522.2;
  const G4double  nu2 = -4.998;  
  
  const G4double  ra = 0.80;
  const G4double  signor = 1.0;
        
  //JMQ 13/02/09 increase of reduced radius to lower the barrier
  // ec = 1.44 * theZ * ResidualZ / (1.5*ResidualAthrd+ra);
  G4double ec = 1.44 * theZ * ResidualZ / (1.7*ResidualAthrd+ra);
  G4double ecsq = ec * ec;
  G4double p = p0 + p1/ec + p2/ecsq;
  G4double landa = landa0*ResidualA + landa1;
  G4double a = g4pow->powZ(ResidualA,mu1);
  G4double mu = mm0 * a;
  G4double nu = a* (nu0+nu1*ec+nu2*ecsq);  
  G4double xnulam = nu / landa;
  G4double etest = 0.0;
  if (xnulam > spill)      { xnulam=0.; }
  else if (xnulam >= flow) { etest = 1.2 *std::sqrt(xnulam); }
 
  a = -2.*p*ec + landa - nu/ecsq;
  G4double b = p*ecsq + mu + 2.*nu/ec;
  G4double ecut = 0.;
  G4double cut = a*a - 4.*p*b;
  if (cut > 0.) { ecut = std::sqrt(cut); }
  ecut = (ecut-a) / (2*p);
 
  //JMQ 290310 for avoiding unphysical increase below minimum (at ecut)
  // ecut<0 means that there is no cut with energy axis, i.e. xs is set 
  // to 0 bellow minimum

  G4double elab = K * FragmentA / G4double(ResidualA);
  G4double sig = 0.;

  if (elab <= ec) { 
    if (elab > ecut) { sig = std::max(0.0,(p*elab*elab+a*elab+b) * signor); }

  } else {           
    sig = (landa*elab+mu+nu/elab) * signor;
    G4double geom = 0.;
    if (xnulam >= flow && elab >= etest) { 
      geom = std::sqrt(theA*K);
      geom = 1.23*ResidualAthrd + ra + 4.573/geom;
      geom = 31.416 * geom * geom;
    }
    sig = std::max(geom,sig);
  }          
  return sig;
}