G4MuBremsstrahlungModel.cc

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// -------------------------------------------------------------------
//
// GEANT4 Class file
//
//
// File name:     G4MuBremsstrahlungModel
//
// Author:        Vladimir Ivanchenko on base of Laszlo Urban code
//
// Creation date: 24.06.2002
//
// Modifications:
//
// 04-12-02 Change G4DynamicParticle constructor in PostStepDoIt (V.Ivanchenko)
// 23-12-02 Change interface in order to move to cut per region (V.Ivanchenko)
// 24-01-03 Fix for compounds (V.Ivanchenko)
// 27-01-03 Make models region aware (V.Ivanchenko)
// 13-02-03 Add name (V.Ivanchenko)
// 10-02-04 Add lowestKinEnergy (V.Ivanchenko)
// 08-04-05 Major optimisation of internal interfaces (V.Ivanchenko)
// 03-08-05 Angular correlations according to PRM (V.Ivanchenko)
// 13-02-06 add ComputeCrossSectionPerAtom (mma)
// 21-03-06 Fix problem of initialisation in case when cuts are not defined (VI)
// 07-11-07 Improve sampling of final state (A.Bogdanov)
// 28-02-08 Use precomputed Z^1/3 and Log(A) (V.Ivanchenko)
// 31-05-13 Use element selectors instead of local data structure (V.Ivanchenko)
//
// -------------------------------------------------------------------
//
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#include "G4MuBremsstrahlungModel.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4Gamma.hh"
#include "G4MuonMinus.hh"
#include "G4MuonPlus.hh"
#include "Randomize.hh"
#include "G4Material.hh"
#include "G4Element.hh"
#include "G4ElementVector.hh"
#include "G4ProductionCutsTable.hh"
#include "G4ModifiedMephi.hh"
#include "G4ParticleChangeForLoss.hh"
#include "G4Log.hh"
 
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const G4double G4MuBremsstrahlungModel::xgi[] = 
  {0.03377,0.16940,0.38069,0.61931,0.83060,0.96623};
const G4double G4MuBremsstrahlungModel::wgi[] = 
  {0.08566,0.18038,0.23396,0.23396,0.18038,0.08566};
G4double G4MuBremsstrahlungModel::fDN[] = {0.0};
 
G4MuBremsstrahlungModel::G4MuBremsstrahlungModel(const G4ParticleDefinition* p,
                                                 const G4String& nam)
  : G4VEmModel(nam),
    sqrte(std::sqrt(G4Exp(1.))),
    lowestKinEnergy(0.1*CLHEP::GeV),
    minThreshold(0.9*CLHEP::keV)
{
  theGamma = G4Gamma::Gamma();
  nist = G4NistManager::Instance();  
 
  SetAngularDistribution(new G4ModifiedMephi());
 
  if (nullptr != p) { SetParticle(p); }
  if (0.0 == fDN[1]) {
    for (G4int i=1; i<93; ++i) {
      G4double dn = 1.54*nist->GetA27(i);
      fDN[i] = dn;
      if(1 < i) {
    fDN[i] /= std::pow(dn, 1./G4double(i));
      }
    }
  }
}
 
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G4double G4MuBremsstrahlungModel::MinEnergyCut(const G4ParticleDefinition*,
                                               const G4MaterialCutsCouple*)
{
  return minThreshold;
}
 
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G4double G4MuBremsstrahlungModel::MinPrimaryEnergy(const G4Material*,
                                                   const G4ParticleDefinition*,
                                                   G4double cut)
{
  return std::max(lowestKinEnergy, cut);
}
 
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void G4MuBremsstrahlungModel::SetParticle(const G4ParticleDefinition* p)
{
  if(nullptr == particle) {
    particle = p;
    mass = particle->GetPDGMass();
    rmass = mass/CLHEP::electron_mass_c2 ;
    cc = CLHEP::classic_electr_radius/rmass ;
    coeff = 16.*CLHEP::fine_structure_const*cc*cc/3. ;
  }
}
 
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void G4MuBremsstrahlungModel::Initialise(const G4ParticleDefinition* p,
                                         const G4DataVector& cuts)
{
  SetParticle(p);
  if(nullptr == fParticleChange) { 
    fParticleChange = GetParticleChangeForLoss(); 
  }
  if(IsMaster() && p == particle && lowestKinEnergy < HighEnergyLimit()) { 
    InitialiseElementSelectors(p, cuts); 
  }
}
 
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void G4MuBremsstrahlungModel::InitialiseLocal(const G4ParticleDefinition* p,
                                              G4VEmModel* masterModel)
{
  if(p == particle && lowestKinEnergy < HighEnergyLimit()) {
    SetElementSelectors(masterModel->GetElementSelectors());
  }
}
 
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G4double G4MuBremsstrahlungModel::ComputeDEDXPerVolume(
                                              const G4Material* material,
                                              const G4ParticleDefinition*,
                                                    G4double kineticEnergy,
                                                    G4double cutEnergy)
{
  G4double dedx = 0.0;
  if (kineticEnergy <= lowestKinEnergy) { return dedx; }
 
  G4double cut = std::max(cutEnergy, minThreshold);
  cut = std::min(cut, kineticEnergy);
 
  const G4ElementVector* theElementVector = material->GetElementVector();
  const G4double* theAtomicNumDensityVector =
    material->GetAtomicNumDensityVector();
 
  //  loop for elements in the material
  for (size_t i=0; i<material->GetNumberOfElements(); ++i) {
    G4double loss = 
      ComputMuBremLoss((*theElementVector)[i]->GetZ(), kineticEnergy, cut);
    dedx += loss*theAtomicNumDensityVector[i];
  }
  //  G4cout << "BR e= " << kineticEnergy << "  dedx= " << dedx << G4endl;
  dedx = std::max(dedx, 0.);
  return dedx;
}
 
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G4double G4MuBremsstrahlungModel::ComputMuBremLoss(G4double Z,
                                                   G4double tkin, G4double cut)
{
  G4double totalEnergy = mass + tkin;
  static const G4double ak1 = 0.05;
  static const G4int k2 = 5;
  G4double loss = 0.;
 
  G4double vcut = cut/totalEnergy;
  G4int kkk = (G4int)(vcut/ak1) + k2;
  if (kkk > 8) { kkk = 8; }
  else if (kkk < 1) { kkk = 1; }
  G4double hhh = vcut/(G4double)(kkk);
 
  G4double aa = 0.;
  for(G4int l=0; l<kkk; ++l) {
    for(G4int i=0; i<6; ++i) {
      G4double ep = (aa + xgi[i]*hhh)*totalEnergy;
      loss += ep*wgi[i]*ComputeDMicroscopicCrossSection(tkin, Z, ep);
    }
    aa += hhh;
  }
 
  loss *= hhh*totalEnergy;
  return loss;
}
 
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G4double G4MuBremsstrahlungModel::ComputeMicroscopicCrossSection(
                                           G4double tkin,
                                           G4double Z,
                                           G4double cut)
{
  G4double totalEnergy = tkin + mass;
  static const G4double ak1 = 2.3;
  static const G4int k2 = 4;
  G4double cross = 0.;
 
  if(cut >= tkin) return cross;
 
  G4double vcut = cut/totalEnergy;
  G4double vmax = tkin/totalEnergy;
 
  G4double aaa = G4Log(vcut);
  G4double bbb = G4Log(vmax);
  G4int kkk = (G4int)((bbb-aaa)/ak1) + k2 ;
  if(kkk > 8) { kkk = 8; }
  else if (kkk < 1) { kkk = 1; }
  G4double hhh = (bbb-aaa)/(G4double)(kkk);
  G4double aa = aaa;
 
  for(G4int l=0; l<kkk; ++l) {
    for(G4int i=0; i<6; ++i) {
      G4double ep = G4Exp(aa + xgi[i]*hhh)*totalEnergy;
      cross += ep*wgi[i]*ComputeDMicroscopicCrossSection(tkin, Z, ep);
    }
    aa += hhh;
  }
 
  cross *= hhh;
  //G4cout << "BR e= " << tkin<< "  cross= " << cross/barn << G4endl;
  return cross;
}
 
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G4double G4MuBremsstrahlungModel::ComputeDMicroscopicCrossSection(
                                           G4double tkin,
                                           G4double Z,
                                           G4double gammaEnergy)
//  differential cross section
{
  G4double dxsection = 0.;
  if(gammaEnergy > tkin) { return dxsection; }
 
  G4double E = tkin + mass ;
  G4double v = gammaEnergy/E ;
  G4double delta = 0.5*mass*mass*v/(E-gammaEnergy) ;
  G4double rab0  = delta*sqrte ;
 
  G4int iz = G4lrint(Z);
  if(iz < 1) { iz = 1; }
  else if(iz > 92) { iz = 92; }
 
  G4double z13 = 1.0/nist->GetZ13(iz);
  G4double dnstar = fDN[iz];
 
  G4double b,b1;
  if(1 == iz) {
    b  = bh;
    b1 = bh1;
  } else {
    b  = btf;
    b1 = btf1;
  }
 
  // nucleus contribution logarithm
  G4double rab1 = b*z13;
  G4double fn = G4Log(rab1/(dnstar*(CLHEP::electron_mass_c2+rab0*rab1))*
    (mass + delta*(dnstar*sqrte-2.)));
  fn = std::max(fn, 0.);
  // electron contribution logarithm
  G4double epmax1 = E/(1.+0.5*mass*rmass/E);
  G4double fe = 0.;
  if(gammaEnergy < epmax1) {
    G4double rab2 = b1*z13*z13;
    fe = G4Log(rab2*mass/((1.+delta*rmass/(CLHEP::electron_mass_c2*sqrte))*
    (CLHEP::electron_mass_c2+rab0*rab2)));
    fe = std::max(fe, 0.);
  }
 
  dxsection = coeff*(1.-v*(1. - 0.75*v))*Z*(fn*Z + fe)/gammaEnergy;
  dxsection = std::max(dxsection, 0.0);
  return dxsection;
}
 
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G4double G4MuBremsstrahlungModel::ComputeCrossSectionPerAtom(
                                           const G4ParticleDefinition*,
                                                 G4double kineticEnergy,
                                                 G4double Z, G4double,
                                                 G4double cutEnergy,
                                                 G4double maxEnergy)
{
  G4double cross = 0.0;
  if (kineticEnergy <= lowestKinEnergy) return cross;
  G4double tmax = std::min(maxEnergy, kineticEnergy);
  G4double cut  = std::min(cutEnergy, kineticEnergy);
  if (cut < minThreshold) cut = minThreshold;
  if (cut >= tmax) return cross;
 
  cross = ComputeMicroscopicCrossSection (kineticEnergy, Z, cut);
  if(tmax < kineticEnergy) {
    cross -= ComputeMicroscopicCrossSection(kineticEnergy, Z, tmax);
  }
  return cross;
}
 
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void G4MuBremsstrahlungModel::SampleSecondaries(
                              std::vector<G4DynamicParticle*>* vdp,
                              const G4MaterialCutsCouple* couple,
                              const G4DynamicParticle* dp,
                              G4double minEnergy,
                              G4double maxEnergy)
{
  G4double kineticEnergy = dp->GetKineticEnergy();
  // check against insufficient energy
  G4double tmax = std::min(kineticEnergy, maxEnergy);
  G4double tmin = std::min(kineticEnergy, minEnergy);
  tmin = std::max(tmin, minThreshold);
  if(tmin >= tmax) return;
 
  // ===== sampling of energy transfer ======
 
  G4ParticleMomentum partDirection = dp->GetMomentumDirection();
 
  // select randomly one element constituing the material
  const G4Element* anElement = SelectRandomAtom(couple,particle,kineticEnergy);
  G4double Z = anElement->GetZ();
  G4double func1 = tmin*
    ComputeDMicroscopicCrossSection(kineticEnergy, Z, tmin);
 
  G4double gEnergy;
  G4double func2;
 
  G4double xmin = G4Log(tmin/minThreshold);
  G4double xmax = G4Log(tmax/tmin);
 
  do {
    gEnergy = minThreshold*G4Exp(xmin + G4UniformRand()*xmax);
    func2 = gEnergy*ComputeDMicroscopicCrossSection(kineticEnergy, Z, gEnergy);
    
    // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
  } while(func2 < func1*G4UniformRand());
 
  // angles of the emitted gamma using general interface
  G4ThreeVector gamDir = 
    GetAngularDistribution()->SampleDirection(dp, gEnergy, Z, 
                                              couple->GetMaterial());
  // create G4DynamicParticle object for the Gamma
  G4DynamicParticle* gamma = new G4DynamicParticle(theGamma, gamDir, gEnergy);
  vdp->push_back(gamma);
 
  // compute post-interaction kinematics of primary e-/e+ based on
  // energy-momentum conservation
  const G4double totMomentum = 
    std::sqrt(kineticEnergy*(kineticEnergy + 2.0*mass));
  G4ThreeVector dir =
    (totMomentum*dp->GetMomentumDirection() - gEnergy*gamDir).unit();
  const G4double finalE = kineticEnergy - gEnergy;
 
  // if secondary gamma energy is higher than threshold(very high by default)
  // then stop tracking the primary particle and create new secondary e-/e+
  // instead of the primary one
  if (gEnergy > SecondaryThreshold()) {
    fParticleChange->ProposeTrackStatus(fStopAndKill);
    fParticleChange->SetProposedKineticEnergy(0.0);
    G4DynamicParticle* newdp = new G4DynamicParticle(particle, dir, finalE);
    vdp->push_back(newdp);
  } else {
    // continue tracking the primary e-/e+ otherwise
    fParticleChange->SetProposedMomentumDirection(dir);
    fParticleChange->SetProposedKineticEnergy(finalE);
  }
}
 
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