G4BetheHeitlerModel.hh

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//
// -------------------------------------------------------------------
//
// GEANT4 Class header file
//
//
// File name:     G4BetheHeitlerModel
//
// Author:        Vladimir Ivanchenko on base of Michel Maire code
//
// Creation date: 19.04.2005
//
// Modifications by Vladimir Ivanchenko, Michel Maire, Mihaly Novak
//
// Class Description:
//
// Implementation of gamma convertion to e+e- in the field of a nucleus 
// For details see Physics Reference Manual

// -------------------------------------------------------------------
//

#ifndef G4BetheHeitlerModel_h
#define G4BetheHeitlerModel_h 1

#include "G4VEmModel.hh"
#include "G4PhysicsTable.hh"
#include "G4Log.hh"

#include <vector>

class G4ParticleChangeForGamma;
class G4Pow;

class G4BetheHeitlerModel : public G4VEmModel
{

public:

  explicit G4BetheHeitlerModel(const G4ParticleDefinition* p = 0, 
                               const G4String& nam = "BetheHeitler");
 
  virtual ~G4BetheHeitlerModel();

  virtual void Initialise(const G4ParticleDefinition*, 
                          const G4DataVector&) override;

  virtual void InitialiseLocal(const G4ParticleDefinition*, 
                               G4VEmModel* masterModel) override;

  virtual G4double ComputeCrossSectionPerAtom(const G4ParticleDefinition*,
                                              G4double kinEnergy, 
                                              G4double Z, 
                                              G4double A=0., 
                                              G4double cut=0.,
                                              G4double emax=DBL_MAX) override;

  virtual void SampleSecondaries(std::vector<G4DynamicParticle*>*,
                                 const G4MaterialCutsCouple*,
                                 const G4DynamicParticle*,
                                 G4double tmin,
                                 G4double maxEnergy) override;

protected:

  inline G4double ScreenFunction1(const G4double delta);

  inline G4double ScreenFunction2(const G4double delta);

  inline void ScreenFunction12(const G4double delta, G4double &f1, G4double &f2);

  void     InitialiseElementData();
 
  struct ElementData {
    G4double fDeltaMaxLow;
    G4double fDeltaMaxHigh;
  };

private:

  // hide assignment operator
  G4BetheHeitlerModel & operator=(const G4BetheHeitlerModel &right) = delete;
  G4BetheHeitlerModel(const  G4BetheHeitlerModel&) = delete;

protected:
  
  static const G4int                gMaxZet; 
  
  G4Pow*                            fG4Calc;
  G4ParticleDefinition*             fTheGamma;
  G4ParticleDefinition*             fTheElectron;
  G4ParticleDefinition*             fThePositron;
  G4ParticleChangeForGamma*         fParticleChange;

  static std::vector<ElementData*>  gElementData;
};


//
// Bethe screening functions for the elastic (coherent) scattering:
// Bethe's phi1, phi2 coherent screening functions were computed numerically 
// by using (the universal) atomic form factors computed based on the Thomas-
// Fermi model of the atom (using numerical solution of the Thomas-Fermi 
// screening function instead of Moliere's analytical approximation). The 
// numerical results can be well approximated (better than Butcher & Messel 
// especially near the delta=1 limit) by:
// ## if delta <= 1.4 
//  phi1(delta) = 20.806 - delta*(3.190 - 0.5710*delta)   
//  phi2(delta) = 20.234 - delta*(2.126 - 0.0903*delta)
// ## if delta  > 1.4
//  phi1(delta) = phi2(delta) = 21.0190 - 4.145*ln(delta + 0.958)
// with delta = 136mc^2kZ^{-1/3}/[E(Eg-E)] = 136Z^{-1/3}eps0/[eps(1-eps)] where 
// Eg is the initial photon energy, E is the total energy transferred to one of 
// the e-/e+ pair, eps0 = mc^2/Eg and eps = E/Eg.

// Compute the value of the screening function 3*PHI1(delta) - PHI2(delta):
inline G4double G4BetheHeitlerModel::ScreenFunction1(const G4double delta)
{
  return (delta > 1.4) ? 42.038 - 8.29*G4Log(delta + 0.958) 
                       : 42.184 - delta*(7.444 - 1.623*delta);
}


// Compute the value of the screening function 1.5*PHI1(delta) +0.5*PHI2(delta):
inline G4double G4BetheHeitlerModel::ScreenFunction2(const G4double delta)
{
  return (delta > 1.4) ? 42.038 - 8.29*G4Log(delta + 0.958)
                       : 41.326 - delta*(5.848 - 0.902*delta);
}


// Same as ScreenFunction1 and ScreenFunction2 but computes them at once
inline void G4BetheHeitlerModel::ScreenFunction12(const G4double delta, 
                                                  G4double &f1, G4double &f2)
{
  if (delta > 1.4) {
    f1 = 42.038 - 8.29*G4Log(delta + 0.958);
    f2 = f1;
  } else {
    f1 = 42.184 - delta*(7.444 - 1.623*delta);
    f2 = 41.326 - delta*(5.848 - 0.902*delta); 
  }
}


#endif