G4LEKaonZeroInelastic.cc

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// $Id$
//
 // Hadronic Process: Low Energy KaonZeroShort Inelastic Process
 // J.L. Chuma, TRIUMF, 11-Feb-1997
 // Last modified: 27-Mar-1997
 // Modified by J.L.Chuma 30-Apr-97: added originalTarget for CalculateMomenta
 
#include "G4LEKaonZeroInelastic.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "Randomize.hh"

void G4LEKaonZeroInelastic::ModelDescription(std::ostream& outFile) const
{
  outFile << "G4LEKaonZeroInelastic is one of the Low Energy Parameterized\n"
          << "(LEP) models used to implement K0 scattering from nuclei.  It\n"
          << "is a re-engineered version of the GHEISHA code of\n"
          << "H. Fesefeldt.  It divides the initial collision products\n"
          << "into backward- and forward-going clusters which are then\n"
          << "decayed into final state hadrons.  The model does not conserve\n"
          << "energy on an event-by-event basis.  It may be applied to\n"
          << "K0s with initial energies between 0 and 25 GeV.\n";
}

 
G4HadFinalState*
G4LEKaonZeroInelastic::ApplyYourself(const G4HadProjectile& aTrack,
                                     G4Nucleus& targetNucleus)
{
  const G4HadProjectile *originalIncident = &aTrack;

  // create the target particle
  G4DynamicParticle* originalTarget = targetNucleus.ReturnTargetParticle();

  if (verboseLevel > 1) {
    const G4Material *targetMaterial = aTrack.GetMaterial();
    G4cout << "G4LEKaonZeroInelastic::ApplyYourself called" << G4endl;
    G4cout << "kinetic energy = " << originalIncident->GetKineticEnergy()/MeV << "MeV, ";
    G4cout << "target material = " << targetMaterial->GetName() << ", ";
    G4cout << "target particle = " << originalTarget->GetDefinition()->GetParticleName()
           << G4endl;
  }

  // Fermi motion and evaporation
  // As of Geant3, the Fermi energy calculation had not been Done
  G4double ek = originalIncident->GetKineticEnergy()/MeV;
  G4double amas = originalIncident->GetDefinition()->GetPDGMass()/MeV;
  G4ReactionProduct modifiedOriginal;
  modifiedOriginal = *originalIncident;
    
  G4double tkin = targetNucleus.Cinema(ek);
  ek += tkin;
  modifiedOriginal.SetKineticEnergy(ek*MeV);
  G4double et = ek + amas;
  G4double p = std::sqrt( std::abs((et-amas)*(et+amas)) );
  G4double pp = modifiedOriginal.GetMomentum().mag()/MeV;
  if (pp > 0.0) {
    G4ThreeVector momentum = modifiedOriginal.GetMomentum();
    modifiedOriginal.SetMomentum( momentum * (p/pp) );
  }

  // calculate black track energies
  tkin = targetNucleus.EvaporationEffects(ek);
  ek -= tkin;
  modifiedOriginal.SetKineticEnergy(ek*MeV);
  et = ek + amas;
  p = std::sqrt( std::abs((et-amas)*(et+amas)) );
  pp = modifiedOriginal.GetMomentum().mag()/MeV;
  if (pp > 0.0) {
    G4ThreeVector momentum = modifiedOriginal.GetMomentum();
    modifiedOriginal.SetMomentum( momentum * (p/pp) );
  }
  G4ReactionProduct currentParticle = modifiedOriginal;
  G4ReactionProduct targetParticle;
  targetParticle = *originalTarget;
  currentParticle.SetSide( 1 ); // incident always goes in forward hemisphere
  targetParticle.SetSide( -1 );  // target always goes in backward hemisphere
  G4bool incidentHasChanged = false;
  G4bool targetHasChanged = false;
  G4bool quasiElastic = false;
  G4FastVector<G4ReactionProduct,GHADLISTSIZE> vec;  // vec will contain the secondary particles
  G4int vecLen = 0;
  vec.Initialize(0);
    
  const G4double cutOff = 0.1;
  if (currentParticle.GetKineticEnergy()/MeV > cutOff)
    Cascade(vec, vecLen, originalIncident, currentParticle, targetParticle,
            incidentHasChanged, targetHasChanged, quasiElastic);
    
  CalculateMomenta(vec, vecLen, originalIncident, originalTarget, modifiedOriginal,
                      targetNucleus, currentParticle, targetParticle,
                      incidentHasChanged, targetHasChanged, quasiElastic);
    
  SetUpChange(vec, vecLen, currentParticle, targetParticle, incidentHasChanged);

  if (isotopeProduction) DoIsotopeCounting(originalIncident, targetNucleus);

  delete originalTarget;
  return &theParticleChange;
}


void G4LEKaonZeroInelastic::Cascade(
   G4FastVector<G4ReactionProduct,GHADLISTSIZE>& vec,
   G4int& vecLen,
   const G4HadProjectile* originalIncident,
   G4ReactionProduct& currentParticle,
   G4ReactionProduct& targetParticle,
   G4bool& incidentHasChanged,
   G4bool& targetHasChanged,
   G4bool& quasiElastic)
{
  // derived from original FORTRAN code CASK0 by H. Fesefeldt (13-Sep-1987)
  //
  // K0Short 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.

  const G4double mOriginal = originalIncident->GetDefinition()->GetPDGMass()/MeV;
  const G4double etOriginal = originalIncident->GetTotalEnergy()/MeV;
  const G4double targetMass = targetParticle.GetMass()/MeV;
  G4double centerofmassEnergy = std::sqrt( mOriginal*mOriginal +
                                        targetMass*targetMass +
                                        2.0*targetMass*etOriginal );
  G4double availableEnergy = centerofmassEnergy-(targetMass+mOriginal);
    if( availableEnergy <= G4PionPlus::PionPlus()->GetPDGMass()/MeV )
    {
      quasiElastic = true;
      return;
    }
    static G4bool first = true;
    const G4int numMul = 1200;
    const G4int numSec = 60;
    static G4double protmul[numMul], protnorm[numSec]; // proton constants
    static G4double neutmul[numMul], neutnorm[numSec]; // neutron constants
    // npos = number of pi+, nneg = number of pi-, nzero = number of pi0
    G4int counter, nt=0, npos=0, nneg=0, nzero=0;
    const G4double c = 1.25;    
    const G4double b[] = { 0.7, 0.7 };
    if( first )       // compute normalization constants, this will only be Done once
    {
      first = false;
      G4int i;
      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-1); nneg<=(npos+1); ++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,b[0],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-2); nneg<=npos; ++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,b[1],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
    
    const G4double expxu = 82.;           // upper bound for arg. of exp
    const G4double expxl = -expxu;        // lower bound for arg. of exp
    G4ParticleDefinition *aKaonPlus = G4KaonPlus::KaonPlus();
    G4ParticleDefinition *aKaonZL = G4KaonZeroLong::KaonZeroLong();
    G4ParticleDefinition *aKaonZS = G4KaonZeroShort::KaonZeroShort();
    G4ParticleDefinition *aNeutron = G4Neutron::Neutron();
    G4ParticleDefinition *aProton = G4Proton::Proton();
    G4int ieab = static_cast<G4int>(5.0*availableEnergy*MeV/GeV);
    const G4double supp[] = {0.,0.4,0.55,0.65,0.75,0.82,0.86,0.90,0.94,0.98};
    G4double test, w0, wp, wt, wm;
    if( (availableEnergy*MeV/GeV < 2.0) && (G4UniformRand() >= supp[ieab]) )
    {
      //
      // suppress high multiplicity events at low momentum
      // only one pion will be produced
      //
      nneg = npos = nzero = 0;
      if( targetParticle.GetDefinition() == aNeutron )
      {
        test = std::exp( std::min( expxu, std::max( expxl, -(1.0+b[0])*(1.0+b[0])/(2.0*c*c) ) ) );
        w0 = test/2.0;
        test = std::exp( std::min( expxu, std::max( expxl, -(-1.0+b[0])*(1.0+b[0])/(2.0*c*c) ) ) );
        wm = test*1.5;
        if( G4UniformRand() < w0/(w0+wm) )
          nzero = 1;
        else
          nneg = 1;
      }
      else  // target is a proton
      {
        test = std::exp( std::min( expxu, std::max( expxl, -(1.0+b[1])*(1.0+b[1])/(2.0*c*c) ) ) );
        w0 = test;
        wp = test;
        test = std::exp( std::min( expxu, std::max( expxl, -(-1.0+b[1])*(-1.0+b[1])/(2.0*c*c) ) ) );
        wm = test;
        wt = w0+wp+wm;
        wp += w0;
        G4double ran = G4UniformRand();
        if( ran < w0/wt )
          nzero = 1;
        else if( ran < wp/wt )
          npos = 1;
        else
          nneg = 1;
      }
    }
    else //  (availableEnergy*MeV/GeV >= 2.0) || (G4UniformRand() < supp[ieab])
    {
      G4double n, anpn;
      GetNormalizationConstant( availableEnergy, n, anpn );
      G4double ran = G4UniformRand();
      G4double dum, excs = 0.0;
      if( targetParticle.GetDefinition() == aProton )
      {
        counter = -1;
        for( npos=0; npos<numSec/3 && ran>=excs; ++npos )
        {
          for( nneg=std::max(0,npos-1); nneg<=(npos+1) && ran>=excs; ++nneg )
          {
            for( nzero=0; nzero<numSec/3 && ran>=excs; ++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 )  // 3 previous loops continued to the end
        {
          quasiElastic = true;
          return;
        }
        npos--; nneg--; nzero--;
      }
      else  // target must be a neutron
      {
        counter = -1;
        for( npos=0; npos<numSec/3 && ran>=excs; ++npos )
        {
          for( nneg=std::max(0,npos-2); nneg<=npos && ran>=excs; ++nneg )
          {
            for( nzero=0; nzero<numSec/3 && ran>=excs; ++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*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 )  // 3 previous loops continued to the end
        {
          quasiElastic = true;
          return;
        }
        npos--; nneg--; nzero--;
      }
    }
    if( targetParticle.GetDefinition() == aProton )
    {
      switch( npos-nneg )
      {
       case 0:
         if( G4UniformRand() < 0.25 )
         {
           currentParticle.SetDefinitionAndUpdateE( aKaonPlus );
           targetParticle.SetDefinitionAndUpdateE( aNeutron );
           incidentHasChanged = true;
           targetHasChanged = true;
         }
         break;
       case 1:
         targetParticle.SetDefinitionAndUpdateE( aNeutron );
         targetHasChanged = true;
         break;
       default:
         targetParticle.SetDefinitionAndUpdateE( aNeutron );
         targetHasChanged = true;
         break;
      }
    }
    else   // targetParticle is a neutron
    {
      switch( npos-nneg )          // seems wrong, charge not conserved
      {
       case 1:
         if( G4UniformRand() < 0.5 )
         {
           currentParticle.SetDefinitionAndUpdateE( aKaonPlus );
           incidentHasChanged = true;
         }
         else
         {
           targetParticle.SetDefinitionAndUpdateE( aProton );
           targetHasChanged = true;
         }
         break;
       case 2:
         currentParticle.SetDefinitionAndUpdateE( aKaonPlus );
         incidentHasChanged = true;
         targetParticle.SetDefinitionAndUpdateE( aProton );
         targetHasChanged = true;
         break;
       default:
         break;
      }
    }
    if( currentParticle.GetDefinition() == aKaonZS )
    {
      if( G4UniformRand() >= 0.5 )
      {
        currentParticle.SetDefinitionAndUpdateE( aKaonZL);
        incidentHasChanged = true;
      }
    }
    if( targetParticle.GetDefinition() == aKaonZS )
    {
      if( G4UniformRand() >= 0.5 )
      {
        targetParticle.SetDefinitionAndUpdateE( aKaonZL );
        targetHasChanged = true;
      }
    }
    SetUpPions( npos, nneg, nzero, vec, vecLen );
    return;
}

 /* end of file */