source: trunk/source/processes/hadronic/models/util/src/G4Fancy3DNucleus.cc @ 1191

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//
// ------------------------------------------------------------
//      GEANT 4 class implementation file
//
//      ---------------- G4Fancy3DNucleus ----------------
//             by Gunter Folger, May 1998.
//       class for a 3D nucleus, arranging nucleons in space and momentum.
// ------------------------------------------------------------

#include "G4Fancy3DNucleus.hh"
#include "G4NuclearFermiDensity.hh"
#include "G4NuclearShellModelDensity.hh"
#include "G4NucleiProperties.hh"
#include "Randomize.hh"
#include "G4ios.hh"
#include <algorithm>
#include "G4HadronicException.hh"


G4Fancy3DNucleus::G4Fancy3DNucleus()
 : nucleondistance(0.8*fermi)
{
        theDensity=0;
        theNucleons=0;
        currentNucleon=-1;
        myA=0;
        myZ=0;
//G4cout <<"G4Fancy3DNucleus::G4Fancy3DNucleus()"<<G4endl;
}

G4Fancy3DNucleus::~G4Fancy3DNucleus()
{
  if(theNucleons) delete [] theNucleons;
  if(theDensity) delete theDensity;
}


void G4Fancy3DNucleus::Init(G4double theA, G4double theZ)
{
//  G4cout << "G4Fancy3DNucleus::Init(theA, theZ) called"<<G4endl;
  currentNucleon=-1;
  if(theNucleons) delete [] theNucleons;

// this was delected already:
//  std::for_each(theRWNucleons.begin(), theRWNucleons.end(), DeleteNucleon());
  theRWNucleons.clear();

  myZ = G4int(theZ);
  myA= ( G4UniformRand()>theA-G4int(theA) ) ? G4int(theA) : G4int(theA)+1;

  theNucleons = new G4Nucleon[myA];
  
//  G4cout << "myA, myZ" << myA << ", " << myZ << G4endl;

  if(theDensity) delete theDensity;
  if ( myA < 17 ) {
     theDensity = new G4NuclearShellModelDensity(myA, myZ);
  } else {
     theDensity = new G4NuclearFermiDensity(myA, myZ);
  }

  theFermi.Init(myA, myZ);
  
  ChooseNucleons();
  
  ChoosePositions();
  
//  CenterNucleons();   // This would introduce a bias 

  ChooseFermiMomenta();
  
  G4double Ebinding= BindingEnergy()/myA;
  
  for (G4int aNucleon=0; aNucleon < myA; aNucleon++)
  {
        theNucleons[aNucleon].SetBindingEnergy(Ebinding);
  }
  
  
  return;
}

G4bool G4Fancy3DNucleus::StartLoop()
{
        currentNucleon=0;
        return theNucleons;
}       

G4Nucleon * G4Fancy3DNucleus::GetNextNucleon()
{
  return ( currentNucleon>=0 && currentNucleon<myA ) ? 
                        theNucleons+currentNucleon++  : 0;
}


const std::vector<G4Nucleon *> & G4Fancy3DNucleus::GetNucleons()
{
        if ( theRWNucleons.size()==0 )
        {
            for (G4int i=0; i< myA; i++)
            {
                theRWNucleons.push_back(theNucleons+i);
            }
        }
        return theRWNucleons;
}

   bool G4Fancy3DNucleusHelperForSortInZ(const G4Nucleon* nuc1, const G4Nucleon* nuc2)
{
        return nuc1->GetPosition().z() < nuc2->GetPosition().z();
}    

void G4Fancy3DNucleus::SortNucleonsInZ()
{
        
        GetNucleons();   // make sure theRWNucleons is initialised

        if (theRWNucleons.size() < 2 ) return; 

        sort( theRWNucleons.begin(),theRWNucleons.end(),G4Fancy3DNucleusHelperForSortInZ); 

// now copy sorted nucleons to theNucleons array. TheRWNucleons are pointers in theNucleons
//  so we need to copy to new, and then swap. 
        G4Nucleon * sortedNucleons = new G4Nucleon[myA];
        for ( unsigned int i=0; i<theRWNucleons.size(); i++ )
        {
           sortedNucleons[i]= *(theRWNucleons[i]);
        }

        theRWNucleons.clear();   // about to delete array these point to....
        delete [] theNucleons;
        
        theNucleons=sortedNucleons;

        return;
}


G4double G4Fancy3DNucleus::BindingEnergy()
{
  return G4NucleiProperties::GetBindingEnergy(myA,myZ);
}


G4double G4Fancy3DNucleus::GetNuclearRadius()
{
        return GetNuclearRadius(0.5);
}

G4double G4Fancy3DNucleus::GetNuclearRadius(const G4double maxRelativeDensity)
{       
        return theDensity->GetRadius(maxRelativeDensity);
}

G4double G4Fancy3DNucleus::GetOuterRadius()
{
        G4double maxradius2=0;
        
        for (int i=0; i<myA; i++)
        {
           if ( theNucleons[i].GetPosition().mag2() > maxradius2 )
           {
                maxradius2=theNucleons[i].GetPosition().mag2();
           }
        }
        return std::sqrt(maxradius2)+nucleondistance;
}

G4double G4Fancy3DNucleus::GetMass()
{
        return   myZ*G4Proton::Proton()->GetPDGMass() + 
                 (myA-myZ)*G4Neutron::Neutron()->GetPDGMass() -
                 BindingEnergy();
}



void G4Fancy3DNucleus::DoLorentzBoost(const G4LorentzVector & theBoost)
{
        for (G4int i=0; i<myA; i++){
            theNucleons[i].Boost(theBoost);
        }
}

void G4Fancy3DNucleus::DoLorentzBoost(const G4ThreeVector & theBeta)
{
        for (G4int i=0; i<myA; i++){
            theNucleons[i].Boost(theBeta);
        }
}

void G4Fancy3DNucleus::DoLorentzContraction(const G4ThreeVector & theBeta)
{
        G4double factor=(1-std::sqrt(1-theBeta.mag2()))/theBeta.mag2(); // (gamma-1)/gamma/beta**2
        for (G4int i=0; i< myA; i++)
        {
             G4ThreeVector rprime=theNucleons[i].GetPosition() - 
                 factor * (theBeta*theNucleons[i].GetPosition()) * 
               // theNucleons[i].GetPosition();
               theBeta;  
             theNucleons[i].SetPosition(rprime);
        }    
}

void G4Fancy3DNucleus::DoLorentzContraction(const G4LorentzVector & theBoost)
{
        G4ThreeVector beta= 1/theBoost.e() * theBoost.vect();
        // DoLorentzBoost(beta); 
        DoLorentzContraction(beta);
}



void G4Fancy3DNucleus::CenterNucleons()
{
        G4ThreeVector   center;
        
        for (G4int i=0; i<myA; i++ )
        {
           center+=theNucleons[i].GetPosition();
        }   
        center *= -1./myA;
        DoTranslation(center);
}

void G4Fancy3DNucleus::DoTranslation(const G4ThreeVector & theShift)
{
        for (G4int i=0; i<myA; i++ )
        {
           G4ThreeVector tempV = theNucleons[i].GetPosition() + theShift;
           theNucleons[i].SetPosition(tempV);
        }   
}

const G4VNuclearDensity * G4Fancy3DNucleus::GetNuclearDensity() const
{
        return theDensity;
}

//----------------------- private Implementation Methods-------------

void G4Fancy3DNucleus::ChooseNucleons()
{
        G4int protons=0,nucleons=0;
        
        while (nucleons < myA )
        {
          if ( protons < myZ && G4UniformRand() < (G4double)(myZ-protons)/(G4double)(myA-nucleons) )
          {
             protons++;
             theNucleons[nucleons++].SetParticleType(G4Proton::Proton());
          }
          else if ( (nucleons-protons) < (myA-myZ) )
          {
               theNucleons[nucleons++].SetParticleType(G4Neutron::Neutron());
          }
          else G4cout << "G4Fancy3DNucleus::ChooseNucleons not efficient" << G4endl;
        }
        return;
}

void G4Fancy3DNucleus::ChoosePositions()
{
        G4int i=0;
        G4ThreeVector   aPos, delta;
        std::vector<G4ThreeVector> places;
        places.reserve(myA);
        G4bool          freeplace;
        static G4double nd2 = sqr(nucleondistance);
        G4double maxR=GetNuclearRadius(0.001);   //  there are no nucleons at a
                                                //  relative Density of 0.01
        G4int jr=0;
        G4int jx,jy;
        G4double arand[600];
        G4double *prand=arand;
//      G4int Attempt=0;
        while ( i < myA )
        {
           do
           {    
//              ++Attempt;
                if ( jr < 3 ) 
                {
                    jr=std::min(600,9*(myA - i));
                    CLHEP::RandFlat::shootArray(jr, prand );
                }
                jx=--jr;
                jy=--jr;
                aPos=G4ThreeVector( (2*arand[jx]-1.),
                                           (2*arand[jy]-1.),
                                           (2*arand[--jr]-1.));
           } while (aPos.mag2() > 1. );
           aPos *=maxR;
           G4double density=theDensity->GetRelativeDensity(aPos);
           if (G4UniformRand() < density)
           {
              freeplace= true;
              std::vector<G4ThreeVector>::iterator iplace;
              for( iplace=places.begin(); iplace!=places.end() && freeplace;++iplace)
              {
                delta = *iplace - aPos;
                freeplace= delta.mag2() > nd2;
              }
              
              if ( freeplace )
              {
                  G4double pFermi=theFermi.GetFermiMomentum(theDensity->GetDensity(aPos));
                    // protons must at least have binding energy of CoulombBarrier, so
                    //  assuming the Fermi energy corresponds to a potential, we must place these such
                    //  that the Fermi Energy > CoulombBarrier
                  if (theNucleons[i].GetDefinition() == G4Proton::Proton())
                  {
                     G4double eFermi= std::sqrt( sqr(pFermi) + sqr(theNucleons[i].GetDefinition()->GetPDGMass()) )
                                      - theNucleons[i].GetDefinition()->GetPDGMass();
                     if (eFermi <= CoulombBarrier() ) freeplace=false;
                  }
              }
              if ( freeplace )
              {
                  theNucleons[i].SetPosition(aPos);
                  places.push_back(aPos);
                  ++i;
              }
           }
        }
//      G4cout << "Att " << myA << " " << Attempt << G4endl;

}

void G4Fancy3DNucleus::ChooseFermiMomenta()
{
    G4int i;
    G4double density;
    G4ThreeVector * momentum=new G4ThreeVector[myA];

    G4double * fermiM=new G4double[myA];

    for (G4int ntry=0; ntry<1 ; ntry ++ )
    {
        for (i=0; i < myA; i++ )    // momenta for all, including last, in case we swap nucleons
        {
           density = theDensity->GetDensity(theNucleons[i].GetPosition());
           fermiM[i] = theFermi.GetFermiMomentum(density);
           G4ThreeVector mom=theFermi.GetMomentum(density);
           if (theNucleons[i].GetDefinition() == G4Proton::Proton())
           {
              G4double eMax = std::sqrt(sqr(fermiM[i]) +sqr(theNucleons[i].GetDefinition()->GetPDGMass()) )
                              - CoulombBarrier();
              if ( eMax > theNucleons[i].GetDefinition()->GetPDGMass() )
              {
                  G4double pmax2= sqr(eMax) - sqr(theNucleons[i].GetDefinition()->GetPDGMass());
                  fermiM[i] = std::sqrt(pmax2);
                  while ( mom.mag2() > pmax2 )
                  {
                      mom=theFermi.GetMomentum(density, fermiM[i]);
                  }
              }  else
              {
                  G4cerr << "G4Fancy3DNucleus: difficulty finding proton momentum" << G4endl;
                  mom=0;
              }

           }
           momentum[i]= mom;
        }

        if (ReduceSum(momentum,fermiM) )
          break;
//       G4cout <<" G4FancyNucleus: iterating to find momenta: "<< ntry<< G4endl;
    }

//     G4ThreeVector sum;
//     for (G4int index=0; index<myA;sum+=momentum[index++])
//     ;
//     G4cout << "final sum / mag() " << sum << " / " << sum.mag() << G4endl;


    G4double energy;
    for ( i=0; i< myA ; i++ )
    {
       energy = theNucleons[i].GetParticleType()->GetPDGMass()
                - BindingEnergy()/myA;
       G4LorentzVector tempV(momentum[i],energy);
       theNucleons[i].SetMomentum(tempV);
    }

    delete [] momentum;
    delete [] fermiM;
}

  class G4Fancy3DNucleusHelper // Helper class
  {
    public:
        G4Fancy3DNucleusHelper(const G4ThreeVector &vec,const G4double size,const G4int index)
        : Vector(vec), Size(size), anInt(index) {}
        int operator ==(const G4Fancy3DNucleusHelper &right) const
        {
                return this==&right;
        }
        int operator < (const G4Fancy3DNucleusHelper &right) const
        {
                return size()<right.size();
        }
        const G4ThreeVector& vector() const
        {
                return Vector;
        }
        G4double size() const
        {
                return Size;
        }
        G4int index() const
        {
                return anInt;
        }
        G4Fancy3DNucleusHelper operator =(const G4Fancy3DNucleusHelper &right)
        {
          Vector = right.Vector;
          Size = right.Size;
          anInt = right.anInt;
          return *this;
        }

    private:
        G4Fancy3DNucleusHelper(): Vector(0), Size(0), anInt(0) {G4cout << "def ctor for MixMasch" << G4endl;}
        G4ThreeVector Vector;
        G4double Size;
        G4int anInt;
  };

G4bool G4Fancy3DNucleus::ReduceSum(G4ThreeVector * momentum, G4double *pFermiM)
{
        G4ThreeVector sum;
        G4double PFermi=pFermiM[myA-1];

        for (G4int i=0; i < myA-1 ; i++ )
             { sum+=momentum[i]; }

// check if have to do anything at all..
        if ( sum.mag() <= PFermi )
        {
                momentum[myA-1]=-sum;
                return true;
        }

// find all possible changes in momentum, changing only the component parallel to sum
        G4ThreeVector testDir=sum.unit();
        std::vector<G4Fancy3DNucleusHelper> testSums;           // Sorted on delta.mag()

        for ( G4int aNucleon=0; aNucleon < myA-1; aNucleon++){
                G4ThreeVector delta=2*((momentum[aNucleon]*testDir)* testDir);
                testSums.push_back(G4Fancy3DNucleusHelper(delta,delta.mag(),aNucleon));
        }
        std::sort(testSums.begin(), testSums.end());

//    reduce Momentum Sum until the next would be allowed.
        G4int index=testSums.size();
        while ( (sum-testSums[--index].vector()).mag()>PFermi && index>0)
        {
                // Only take one which improve, ie. don't change sign and overshoot...
                if ( sum.mag() > (sum-testSums[index].vector()).mag() ) {
                   momentum[testSums[index].index()]-=testSums[index].vector();
                   sum-=testSums[index].vector();
                }
        }

        if ( (sum-testSums[index].vector()).mag() <= PFermi )
        {
                G4int best=-1;
                G4double pBest=2*PFermi; // anything larger than PFermi
                for ( G4int aNucleon=0; aNucleon<=index; aNucleon++)
                {
                        // find the momentum closest to choosen momentum for last Nucleon.
                        G4double pTry=(testSums[aNucleon].vector()-sum).mag();
                        if ( pTry < PFermi
                         &&  std::abs(momentum[myA-1].mag() - pTry ) < pBest )
                        {
                           pBest=std::abs(momentum[myA-1].mag() - pTry );
                           best=aNucleon;
                        }
                }
                if ( best < 0 )  
                {
                  G4String text = "G4Fancy3DNucleus.cc: Logic error in ReduceSum()";
                  throw G4HadronicException(__FILE__, __LINE__, text);
                }
                momentum[testSums[best].index()]-=testSums[best].vector();
                momentum[myA-1]=testSums[best].vector()-sum;

                testSums.clear();
                return true;

        }
        testSums.clear();

        // try to compensate momentum using another Nucleon....

        G4int swapit=-1;
        while (swapit<myA-1)
        {
          if ( pFermiM[++swapit] > PFermi ) break;
        }
        if (swapit == myA-1 ) return false;

        // Now we have a nucleon with a bigger Fermi Momentum.
        // Exchange with last nucleon.. and iterate.
//      G4cout << " Nucleon to swap with : " << swapit << G4endl;
//      G4cout << " Fermi momentum test, and better.. " << PFermi << " / "
//             << theFermi.GetFermiMomentum(density) << G4endl;
//      cout << theNucleons[swapit]<< G4endl << theNucleons[myA-1] << G4endl;
//      cout << momentum[swapit] << G4endl << momentum[myA-1] << G4endl;
        G4Nucleon swap= theNucleons[swapit];
        G4ThreeVector mom_swap=momentum[swapit];
        G4double pf=pFermiM[swapit];
        theNucleons[swapit]=theNucleons[myA-1];
        momentum[swapit]=momentum[myA-1];
        pFermiM[swapit]=pFermiM[myA-1];
        theNucleons[myA-1]=swap;
        momentum[myA-1]=mom_swap;
        pFermiM[myA-1]=pf;
//      cout << "after swap" <<G4endl<< theNucleons[swapit] << G4endl << theNucleons[myA-1] << G4endl;
//      cout << momentum[swapit] << G4endl << momentum[myA-1] << G4endl;
        return ReduceSum(momentum,pFermiM);
}

G4double G4Fancy3DNucleus::CoulombBarrier()
{
  G4double coulombBarrier = (1.44/1.14) * MeV * myZ / (1.0 + std::pow(G4double(myA),1./3.));
  return coulombBarrier;
}