G4StatMF.cc

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// $Id: G4StatMF.cc 67983 2013-03-13 10:42:03Z gcosmo $
//
// Hadronic Process: Nuclear De-excitations
// by V. Lara

#include "G4StatMF.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4Pow.hh"


// Default constructor
G4StatMF::G4StatMF() : _theEnsemble(0) {}


// Destructor
G4StatMF::~G4StatMF() {} //{if (_theEnsemble != 0) delete _theEnsemble;}


G4FragmentVector * G4StatMF::BreakItUp(const G4Fragment &theFragment)
{
  //    G4FragmentVector * theResult = new G4FragmentVector;

  if (theFragment.GetExcitationEnergy() <= 0.0) {
    //G4FragmentVector * theResult = new G4FragmentVector;
    //theResult->push_back(new G4Fragment(theFragment));
    return 0;
  }


  // Maximun average multiplicity: M_0 = 2.6 for A ~ 200 
  // and M_0 = 3.3 for A <= 110
  G4double MaxAverageMultiplicity = 
    G4StatMFParameters::GetMaxAverageMultiplicity(theFragment.GetA_asInt());

        
    // We'll use two kinds of ensembles
  G4StatMFMicroCanonical * theMicrocanonicalEnsemble = 0;
  G4StatMFMacroCanonical * theMacrocanonicalEnsemble = 0;

        
        //-------------------------------------------------------
        // Direct simulation part (Microcanonical ensemble)
        //-------------------------------------------------------
  
        // Microcanonical ensemble initialization 
  theMicrocanonicalEnsemble = new G4StatMFMicroCanonical(theFragment);

  G4int Iterations = 0;
  G4int IterationsLimit = 100000;
  G4double Temperature = 0.0;
  
  G4bool FirstTime = true;
  G4StatMFChannel * theChannel = 0;
 
  G4bool ChannelOk;
  do {  // Try to de-excite as much as IterationLimit permits
    do {
      
      G4double theMeanMult = theMicrocanonicalEnsemble->GetMeanMultiplicity();
      if (theMeanMult <= MaxAverageMultiplicity) {
        // G4cout << "MICROCANONICAL" << G4endl;
        // Choose fragments atomic numbers and charges from direct simulation
        theChannel = theMicrocanonicalEnsemble->ChooseAandZ(theFragment);
        _theEnsemble = theMicrocanonicalEnsemble;
      } else {
        //-----------------------------------------------------
        // Non direct simulation part (Macrocanonical Ensemble)
        //-----------------------------------------------------
        if (FirstTime) {
          // Macrocanonical ensemble initialization 
          theMacrocanonicalEnsemble = new G4StatMFMacroCanonical(theFragment);
          _theEnsemble = theMacrocanonicalEnsemble;
          FirstTime = false;
        }
        // G4cout << "MACROCANONICAL" << G4endl;
        // Select calculated fragment total multiplicity, 
        // fragment atomic numbers and fragment charges.
        theChannel = theMacrocanonicalEnsemble->ChooseAandZ(theFragment);
      }
      
      ChannelOk = theChannel->CheckFragments();
      if (!ChannelOk) delete theChannel; 
      
    } while (!ChannelOk);
    
    
    if (theChannel->GetMultiplicity() <= 1) {
      G4FragmentVector * theResult = new G4FragmentVector;
      theResult->push_back(new G4Fragment(theFragment));
      delete theMicrocanonicalEnsemble;
      if (theMacrocanonicalEnsemble != 0) delete theMacrocanonicalEnsemble;
      delete theChannel;
      return theResult;
    }
    
    //--------------------------------------
    // Second part of simulation procedure.
    //--------------------------------------
    
    // Find temperature of breaking channel.
    Temperature = _theEnsemble->GetMeanTemperature(); // Initial guess for Temperature 
 
    if (FindTemperatureOfBreakingChannel(theFragment,theChannel,Temperature)) break;
 
    // Do not forget to delete this unusable channel, for which we failed to find the temperature,
    // otherwise for very proton-reach nuclei it would lead to memory leak due to large 
    // number of iterations. N.B. "theChannel" is created in G4StatMFMacroCanonical::ChooseZ()

    // G4cout << " Iteration # " << Iterations << " Mean Temperature = " << Temperature << G4endl;    

    delete theChannel;    

  } while (Iterations++ < IterationsLimit );
  
 

  // If Iterations >= IterationsLimit means that we couldn't solve for temperature
  if (Iterations >= IterationsLimit) 
    throw G4HadronicException(__FILE__, __LINE__, "G4StatMF::BreakItUp: Was not possible to solve for temperature of breaking channel");
  
  
  G4FragmentVector * theResult = theChannel->
    GetFragments(theFragment.GetA_asInt(),theFragment.GetZ_asInt(),Temperature);
  
  
        
  // ~~~~~~ Energy conservation Patch !!!!!!!!!!!!!!!!!!!!!!
  // Original nucleus 4-momentum in CM system
  G4LorentzVector InitialMomentum(theFragment.GetMomentum());
  InitialMomentum.boost(-InitialMomentum.boostVector());
  G4double ScaleFactor = 0.0;
  G4double SavedScaleFactor = 0.0;
  do {
    G4double FragmentsEnergy = 0.0;
    G4FragmentVector::iterator j;
    for (j = theResult->begin(); j != theResult->end(); j++) 
      FragmentsEnergy += (*j)->GetMomentum().e();
    SavedScaleFactor = ScaleFactor;
    ScaleFactor = InitialMomentum.e()/FragmentsEnergy;
    G4ThreeVector ScaledMomentum(0.0,0.0,0.0);
    for (j = theResult->begin(); j != theResult->end(); j++) {
      ScaledMomentum = ScaleFactor * (*j)->GetMomentum().vect();
      G4double Mass = (*j)->GetMomentum().m();
      G4LorentzVector NewMomentum;
      NewMomentum.setVect(ScaledMomentum);
      NewMomentum.setE(std::sqrt(ScaledMomentum.mag2()+Mass*Mass));
      (*j)->SetMomentum(NewMomentum);           
    }
  } while (ScaleFactor > 1.0+1.e-5 && std::abs(ScaleFactor-SavedScaleFactor)/ScaleFactor > 1.e-10);
  // ~~~~~~ End of patch !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
  
  // Perform Lorentz boost
  G4FragmentVector::iterator i;
  for (i = theResult->begin(); i != theResult->end(); i++) {
    G4LorentzVector FourMom = (*i)->GetMomentum();
    FourMom.boost(theFragment.GetMomentum().boostVector());
    (*i)->SetMomentum(FourMom);
#ifdef PRECOMPOUND_TEST
    (*i)->SetCreatorModel(G4String("G4StatMF"));
#endif
  }
  
  // garbage collection
  delete theMicrocanonicalEnsemble;
  if (theMacrocanonicalEnsemble != 0) delete theMacrocanonicalEnsemble;
  delete theChannel;
  
  return theResult;
}


G4bool G4StatMF::FindTemperatureOfBreakingChannel(const G4Fragment & theFragment,
                                                  const G4StatMFChannel * aChannel,
                                                  G4double & Temperature)
  // This finds temperature of breaking channel.
{
  G4int A = theFragment.GetA_asInt();
  G4int Z = theFragment.GetZ_asInt();
  G4double U = theFragment.GetExcitationEnergy();
  
  G4double T = std::max(Temperature,0.0012*MeV);
  
  G4double Ta = T;
  G4double Tb = T;
  
  
  G4double TotalEnergy = CalcEnergy(A,Z,aChannel,T);
  
  G4double Da = (U - TotalEnergy)/U;
  G4double Db = 0.0;
  
  // bracketing the solution
  if (Da == 0.0) {
    Temperature = T;
    return true;
  } else if (Da < 0.0) {
    do {
      Tb -= 0.5 * std::fabs(Tb);
      T = Tb;
      if (Tb < 0.001*MeV) return false;
      
      TotalEnergy = CalcEnergy(A,Z,aChannel,T);
      
      Db = (U - TotalEnergy)/U;
    } while (Db < 0.0);
    
  } else {
    do {
      Tb += 0.5 * std::fabs(Tb);
      T = Tb;
      
      TotalEnergy = CalcEnergy(A,Z,aChannel,T);
      
      Db = (U - TotalEnergy)/U;
    } while (Db > 0.0); 
  }
  
  G4double eps = 1.0e-14 * std::abs(Tb-Ta);
  //G4double eps = 1.0e-3 ;
  
  // Start the bisection method
  for (G4int j = 0; j < 1000; j++) {
    G4double Tc =  (Ta+Tb)/2.0;
    if (std::abs(Ta-Tc) <= eps) {
      Temperature = Tc;
      return true;
    }
    
    T = Tc;
    
    TotalEnergy = CalcEnergy(A,Z,aChannel,T);
    
    G4double Dc = (U - TotalEnergy)/U; 
    
    if (Dc == 0.0) {
      Temperature  = Tc;
      return true;
    }
    
    if (Da*Dc < 0.0) {
      Tb = Tc;
      Db = Dc;
    } else {
      Ta = Tc;
      Da = Dc;
    }
  }
  
  Temperature  = (Ta+Tb)/2.0;
  return false;
}

G4double G4StatMF::CalcEnergy(G4int A, G4int Z, const G4StatMFChannel * aChannel,
                              G4double T)
{
    G4double MassExcess0 = G4NucleiProperties::GetMassExcess(A,Z);
        
    G4double Coulomb = (3./5.)*(elm_coupling*Z*Z)
      *std::pow(1.0+G4StatMFParameters::GetKappaCoulomb(),1./3.)/
      (G4StatMFParameters::Getr0()*G4Pow::GetInstance()->Z13(A));

    G4double ChannelEnergy = aChannel->GetFragmentsEnergy(T);
        
    return -MassExcess0 + Coulomb + ChannelEnergy;

}