G4HEXiZeroInelastic.cc

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// $Id$
 
// G4 Process: Gheisha High Energy Collision model.
// This includes the high energy cascading model, the two-body-resonance model
// and the low energy two-body model. Not included are the low energy stuff
// like nuclear reactions, nuclear fission without any cascading and all
// processes for particles at rest.  
// First work done by J.L.Chuma and F.W.Jones, TRIUMF, June 96.  
// H. Fesefeldt, RWTH-Aachen, 23-October-1996
 
#include "G4HEXiZeroInelastic.hh"
#include "globals.hh"
#include "G4ios.hh"
#include "G4PhysicalConstants.hh"
 
void G4HEXiZeroInelastic::ModelDescription(std::ostream& outFile) const
{
  outFile << "G4HEXiZeroInelastic is one of the High Energy\n"
          << "Parameterized (HEP) models used to implement inelastic\n"
          << "Xi0 scattering from nuclei.  It is a re-engineered\n"
          << "version of the GHEISHA code of H. Fesefeldt.  It divides the\n"
          << "initial collision products into backward- and forward-going\n"
          << "clusters which are then decayed into final state hadrons.\n"
          << "The model does not conserve energy on an event-by-event\n"
          << "basis.  It may be applied to Xi0 with initial energies\n"
          << "above 20 GeV.\n";
}
 
 
G4HadFinalState*
G4HEXiZeroInelastic::ApplyYourself(const G4HadProjectile& aTrack,
                                   G4Nucleus& targetNucleus)
{
  G4HEVector* pv = new G4HEVector[MAXPART];
  const G4HadProjectile* aParticle = &aTrack;
  const G4double A = targetNucleus.GetA_asInt();
  const G4double Z = targetNucleus.GetZ_asInt();
  G4HEVector incidentParticle(aParticle);
     
  G4double atomicNumber = Z;
  G4double atomicWeight = A;
 
  G4int incidentCode = incidentParticle.getCode();
  G4double incidentMass = incidentParticle.getMass();
  G4double incidentTotalEnergy = incidentParticle.getEnergy();
 
  // G4double incidentTotalMomentum = incidentParticle.getTotalMomentum();
  // DHW 19 May 2011: variable set but not used
 
  G4double incidentKineticEnergy = incidentTotalEnergy - incidentMass;
 
  if (incidentKineticEnergy < 1.)
    G4cout << "GHEXiZeroInelastic: incident energy < 1 GeV" << G4endl;
 
  if (verboseLevel > 1) {
    G4cout << "G4HEXiZeroInelastic::ApplyYourself" << G4endl;
    G4cout << "incident particle " << incidentParticle.getName()
           << "mass "              << incidentMass
           << "kinetic energy "    << incidentKineticEnergy
           << G4endl;
    G4cout << "target material with (A,Z) = (" 
           << atomicWeight << "," << atomicNumber << ")" << G4endl;
  }
 
  G4double inelasticity = NuclearInelasticity(incidentKineticEnergy, 
                                              atomicWeight, atomicNumber);
  if (verboseLevel > 1)
    G4cout << "nuclear inelasticity = " << inelasticity << G4endl;
    
  incidentKineticEnergy -= inelasticity;
    
  G4double excitationEnergyGNP = 0.;
  G4double excitationEnergyDTA = 0.; 
 
  G4double excitation = NuclearExcitation(incidentKineticEnergy,
                                          atomicWeight, atomicNumber,
                                          excitationEnergyGNP,
                                          excitationEnergyDTA);
  if (verboseLevel > 1)
    G4cout << "nuclear excitation = " << excitation << excitationEnergyGNP 
           << excitationEnergyDTA << G4endl;             
 
  incidentKineticEnergy -= excitation;
  incidentTotalEnergy = incidentKineticEnergy + incidentMass;
  // incidentTotalMomentum = std::sqrt( (incidentTotalEnergy-incidentMass)
  //                                  *(incidentTotalEnergy+incidentMass));
  // DHW 19 May 2011: variables set but not used
 
  G4HEVector targetParticle;
  if (G4UniformRand() < atomicNumber/atomicWeight) { 
    targetParticle.setDefinition("Proton");
  } else { 
    targetParticle.setDefinition("Neutron");
  }
 
  G4double targetMass = targetParticle.getMass();
  G4double centerOfMassEnergy = std::sqrt(incidentMass*incidentMass
                                         + targetMass*targetMass
                                         + 2.0*targetMass*incidentTotalEnergy);
  G4double availableEnergy = centerOfMassEnergy - targetMass - incidentMass;
 
  G4bool inElastic = true;
  vecLength = 0;
        
  if (verboseLevel > 1)
    G4cout << "ApplyYourself: CallFirstIntInCascade for particle "
           << incidentCode << G4endl;
 
  G4bool successful = false; 
    
  FirstIntInCasXiZero(inElastic, availableEnergy, pv, vecLength,
                      incidentParticle, targetParticle, atomicWeight);
 
  if (verboseLevel > 1)
    G4cout << "ApplyYourself::StrangeParticlePairProduction" << G4endl;
 
  if ((vecLength > 0) && (availableEnergy > 1.)) 
    StrangeParticlePairProduction(availableEnergy, centerOfMassEnergy,
                                  pv, vecLength,
                                  incidentParticle, targetParticle);
 
  HighEnergyCascading(successful, pv, vecLength,
                      excitationEnergyGNP, excitationEnergyDTA,
                      incidentParticle, targetParticle,
                      atomicWeight, atomicNumber);
  if (!successful)
    HighEnergyClusterProduction(successful, pv, vecLength,
                                excitationEnergyGNP, excitationEnergyDTA,
                                incidentParticle, targetParticle,
                                atomicWeight, atomicNumber);
  if (!successful) 
    MediumEnergyCascading(successful, pv, vecLength, 
                          excitationEnergyGNP, excitationEnergyDTA, 
                          incidentParticle, targetParticle,
                          atomicWeight, atomicNumber);
 
  if (!successful)
    MediumEnergyClusterProduction(successful, pv, vecLength,
                                  excitationEnergyGNP, excitationEnergyDTA,       
                                  incidentParticle, targetParticle,
                                  atomicWeight, atomicNumber);
  if (!successful)
    QuasiElasticScattering(successful, pv, vecLength,
                           excitationEnergyGNP, excitationEnergyDTA,
                           incidentParticle, targetParticle, 
                           atomicWeight, atomicNumber);
  if (!successful)
    ElasticScattering(successful, pv, vecLength,
                      incidentParticle,    
                      atomicWeight, atomicNumber);
 
  if (!successful)
    G4cout << "GHEInelasticInteraction::ApplyYourself fails to produce final state particles"
           << G4endl;
 
  FillParticleChange(pv, vecLength);
  delete [] pv;
  theParticleChange.SetStatusChange(stopAndKill);
  return &theParticleChange;
}
 
 
void
G4HEXiZeroInelastic::FirstIntInCasXiZero(G4bool& inElastic,
                                         const G4double availableEnergy,
                                         G4HEVector pv[],
                                         G4int& vecLen,
                                         const G4HEVector& incidentParticle,
                                         const G4HEVector& targetParticle,
                                         const G4double atomicWeight)
 
// Xi0 undergoes interaction with nucleon within a nucleus.  Check if it is
// energetically possible to produce pions/kaons.  In not, assume nuclear excitation
// occurs and input particle is degraded in energy. No other particles are produced.
// If reaction is possible, find the correct number of pions/protons/neutrons
// produced using an interpolation to multiplicity data.  Replace some pions or
// protons/neutrons by kaons or strange baryons according to the average
// multiplicity per inelastic reaction.
{
  static const G4double expxu = 82.;     // upper bound for arg. of exp
  static const G4double expxl = -expxu;  // lower bound for arg. of exp
 
  static const G4double protb = 0.7;
  static const G4double neutb = 0.7;              
  static const G4double c = 1.25;
 
  static const G4int numMul = 1200;
  static const G4int numSec = 60;
 
  G4int protonCode = Proton.getCode();
  G4int targetCode = targetParticle.getCode();
  G4double incidentTotalMomentum = incidentParticle.getTotalMomentum();
 
  static G4bool first = true;
  static G4double protmul[numMul], protnorm[numSec];  // proton constants
  static G4double neutmul[numMul], neutnorm[numSec];  // neutron constants
 
  //  misc. local variables
  //  npos = number of pi+,  nneg = number of pi-,  nzero = number of pi0
 
  G4int i, counter, nt, npos, nneg, nzero;
 
  if (first) {
    // compute normalization constants, this will only be done once
    first = false;
    for (i = 0; i < numMul; i++) protmul[i] = 0.0;
    for (i = 0; i < numSec; i++) protnorm[i] = 0.0;
    counter = -1;
    for (npos = 0; npos < (numSec/3); npos++) {
      for (nneg = std::max(0,npos-2); nneg <= npos; nneg++) {
        for (nzero = 0; nzero < numSec/3; nzero++) {
          if (++counter < numMul) {
            nt = npos+nneg+nzero;
            if ((nt>0) && (nt<=numSec) ) {
              protmul[counter] = pmltpc(npos,nneg,nzero,nt,protb,c);
              protnorm[nt-1] += protmul[counter];
            }
          }
        }
      }
    }
 
    for( i=0; i<numMul; i++ )neutmul[i]  = 0.0;
    for( i=0; i<numSec; i++ )neutnorm[i] = 0.0;
    counter = -1;
       for( npos=0; npos<numSec/3; npos++ ) 
          {
            for( nneg=std::max(0,npos-1); nneg<=(npos+1); nneg++ ) 
               {
                 for( nzero=0; nzero<numSec/3; nzero++ ) 
                    {
                      if( ++counter < numMul ) 
                        {
                          nt = npos+nneg+nzero;
                          if( (nt>0) && (nt<=numSec) ) 
                            {
                               neutmul[counter] = pmltpc(npos,nneg,nzero,nt,neutb,c);
                               neutnorm[nt-1] += neutmul[counter];
                            }
                        }
                    }
               }
          }
    for (i = 0; i < numSec; i++) {
      if (protnorm[i] > 0.0) protnorm[i] = 1.0/protnorm[i];
      if (neutnorm[i] > 0.0) neutnorm[i] = 1.0/neutnorm[i];
    }
  }  // end of initialization
         
  // initialize the first two places the same as beam and target                                    
  pv[0] = incidentParticle;
  pv[1] = targetParticle;
  vecLen = 2;
 
   if( !inElastic ) 
     {                                     // quasi-elastic scattering, no pions produced
       G4double cech[] = {0.50, 0.45, 0.40, 0.35, 0.30, 0.25, 0.06, 0.04, 0.005, 0.};
       G4int iplab = G4int( std::min( 9.0, incidentTotalMomentum*2.5 ) );
       if( G4UniformRand() < cech[iplab]/std::pow(atomicWeight,0.42) ) 
         {                                           
           G4double ran = G4UniformRand();
           if( targetCode == protonCode)
             {
               if (ran < 0.2)
                 {
                   pv[0] = SigmaPlus;
                   pv[1] = SigmaZero;
                 } 
               else if (ran < 0.4)
                 {
                   pv[0] = SigmaZero;
                   pv[1] = SigmaPlus;
                 }
               else if (ran < 0.6)
                 {
                   pv[0] = SigmaPlus;
                   pv[1] = Lambda;
                 }
               else if (ran < 0.8)
                 {
                   pv[0] = Lambda;
                   pv[1] = SigmaPlus;
                 }
               else
                 {
                   pv[0] = Proton;
                   pv[1] = XiZero;
                 }         
             }              
           else
             { 
               if (ran < 0.2)
                 {
                   pv[0] = Neutron;
                   pv[1] = XiZero;
                 } 
               else if (ran < 0.3)
                 {
                   pv[0] = SigmaZero;
                   pv[1] = SigmaZero;  
                 }
               else if (ran < 0.4)
                 {
                   pv[0] = Lambda;
                   pv[1] = Lambda;
                 }
               else if (ran < 0.5)
                 {
                   pv[0] = SigmaZero;
                   pv[1] = Lambda;
                 } 
               else if (ran < 0.6)
                 {
                   pv[0] = Lambda;
                   pv[1] = SigmaZero;
                 }
               else if (ran < 0.7)
                 {
                   pv[0] = SigmaPlus;
                   pv[1] = SigmaMinus;
                 }  
               else if (ran < 0.8)
                 {
                   pv[0] = SigmaMinus;
                   pv[1] = SigmaPlus;
                 }
               else if (ran < 0.9)
                 {
                   pv[0] = XiMinus;
                   pv[1] = Proton;
                 }
               else
                 {
                   pv[0] = Proton;
                   pv[1] = XiMinus;
                 }  
             }
         }
       return;
     }
   else if (availableEnergy <= PionPlus.getMass())
       return;
 
                                                  //   inelastic scattering
 
   npos = 0; nneg = 0; nzero = 0;
 
   // number of total particles vs. centre of mass Energy - 2*proton mass
   
   G4double aleab = std::log(availableEnergy);
   G4double n     = 3.62567+aleab*(0.665843+aleab*(0.336514
                    + aleab*(0.117712+0.0136912*aleab))) - 2.0;
   
   // normalization constant for kno-distribution.
   // calculate first the sum of all constants, check for numerical problems.             
   G4double test, dum, anpn = 0.0;
 
   for (nt=1; nt<=numSec; nt++) {
     test = std::exp( std::min( expxu, std::max( expxl, -(pi/4.0)*(nt*nt)/(n*n) ) ) );
     dum = pi*nt/(2.0*n*n);
     if (std::fabs(dum) < 1.0) {
       if (test >= 1.0e-10) anpn += dum*test;
     } else { 
       anpn += dum*test;
     }
   }
   
   G4double ran = G4UniformRand();
   G4double excs = 0.0;
   if( targetCode == protonCode ) 
     {
       counter = -1;
       for (npos=0; npos<numSec/3; npos++) {
         for (nneg=std::max(0,npos-2); nneg<=npos; nneg++) {
           for (nzero=0; nzero<numSec/3; nzero++) {
             if (++counter < numMul) {
               nt = npos+nneg+nzero;
               if ( (nt>0) && (nt<=numSec) ) {
                 test = std::exp( std::min( expxu, std::max( expxl, -(pi/4.0)*(nt*nt)/(n*n) ) ) );
                 dum = (pi/anpn)*nt*protmul[counter]*protnorm[nt-1]/(2.0*n*n);
                 if (std::fabs(dum) < 1.0) { 
                   if (test >= 1.0e-10) excs += dum*test;
                 } else { 
                   excs += dum*test;
                 }
                 if (ran < excs) goto outOfLoop;      //----------------------->
               }
         }
       }
     }
       }
       
       // 3 previous loops continued to the end
 
       inElastic = false;                 // quasi-elastic scattering   
       return;
     }
   else   
     {                                         // target must be a neutron
       counter = -1;
       for (npos=0; npos<numSec/3; npos++) {
         for (nneg=std::max(0,npos-1); nneg<=(npos+1); nneg++) {
           for (nzero=0; nzero<numSec/3; nzero++) {
             if (++counter < numMul) {
               nt = npos+nneg+nzero;
               if ( (nt>=1) && (nt<=numSec) ) {
                 test = std::exp( std::min( expxu, std::max( expxl, -(pi/4.0)*(nt*nt)/(n*n) ) ) );
                 dum = (pi/anpn)*nt*neutmul[counter]*neutnorm[nt-1]/(2.0*n*n);
                 if (std::fabs(dum) < 1.0) { 
                   if (test >= 1.0e-10) excs += dum*test;
                 } else { 
                   excs += dum*test;
             }
                 if (ran < excs) goto outOfLoop;       // ------------------->
           }
         }
       }
     }
       }
       // 3 previous loops continued to the end
 
       inElastic = false;                         // quasi-elastic scattering.
       return;
     }
 
  outOfLoop:           //  <----------------------------------------------------   
    
  // in the following we do not consider
  // strangeness transfer in high multiplicity
  // events. YK combinations are added in
  // StrangeParticlePairProduction
  ran = G4UniformRand(); 
  if (targetCode == protonCode) {
       if( npos == nneg)
         { 
         }
       else if (npos == (nneg+1))
         {
           if( ran < 0.50)
             {
               pv[0] = XiMinus;
             }
           else
             {
               pv[1] = Neutron;
             }
         }
       else
         {
           pv[0] = XiMinus;
           pv[1] = Neutron;
         }   
  } else {
       if (npos == nneg)
         {
           if (ran < 0.5) 
             {
             }
           else
             {
               pv[0] = XiMinus;
               pv[1] = Proton;
             }  
         }  
       else if (npos == (nneg-1))
         {  
           pv[1] = Proton;
         } 
       else 
         {
           pv[0] = XiMinus;
         }
  }      
 
  nt = npos + nneg + nzero;
  while (nt > 0) {
    G4double rnd = G4UniformRand();
    if (rnd < (G4double)npos/nt) { 
      if (npos > 0) {
        pv[vecLen++] = PionPlus;
        npos--;
      }
    } else if (rnd < (G4double)(npos+nneg)/nt) {   
      if (nneg > 0) { 
        pv[vecLen++] = PionMinus;
        nneg--;
      }
    } else {
      if (nzero > 0) { 
        pv[vecLen++] = PionZero;
        nzero--;
      }
    }
    nt = npos + nneg + nzero;
  }
 
  if (verboseLevel > 1) {
    G4cout << "Particles produced: " ;
    G4cout << pv[0].getCode() << " " ;
    G4cout << pv[1].getCode() << " " ;
    for ( i = 2; i < vecLen; i++) G4cout << pv[i].getCode() << " " ;
    G4cout << G4endl;
  }
 
  return;
}