source: trunk/source/processes/electromagnetic/lowenergy/src/G4CrossSectionElasticScreenedRutherfordLE.cc@ 1058

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// $Id: G4CrossSectionElasticScreenedRutherfordLE.cc,v 1.3 2009/05/02 15:07:47 sincerti Exp $
// GEANT4 tag $Name: geant4-09-03-beta-cand-01 $

#include "G4CrossSectionElasticScreenedRutherfordLE.hh"

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G4CrossSectionElasticScreenedRutherfordLE::G4CrossSectionElasticScreenedRutherfordLE()
{
  lowEnergyLimit = 0 * eV; 
  highEnergyLimit = 200 * eV;

   G4cout << G4endl;
   G4cout << "*******************************************************************************" << G4endl;
   G4cout << "*******************************************************************************" << G4endl;
   G4cout << "   The class G4CrossSectionElasticScreenedRutherfordLE is NOT SUPPORTED ANYMORE. " << G4endl;
   G4cout << "   It will be REMOVED with the next major release of Geant4. " << G4endl;
   G4cout << "   Please consult: https://twiki.cern.ch/twiki/bin/view/Geant4/LoweProcesses" << G4endl;
   G4cout << "*******************************************************************************" << G4endl;
   G4cout << "*******************************************************************************" << G4endl;
   G4cout << G4endl;
}

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G4CrossSectionElasticScreenedRutherfordLE::~G4CrossSectionElasticScreenedRutherfordLE()
{}
 
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G4double G4CrossSectionElasticScreenedRutherfordLE::CrossSection(const G4Track& track)
{
  const G4DynamicParticle* particle = track.GetDynamicParticle();
  G4double k = particle->GetKineticEnergy();

  G4double screenedCrossSection = 0.;

  if (k > lowEnergyLimit && k <= highEnergyLimit)
  {      
      G4double z = 10.;
      G4double n = ScreeningFactor(k,z);
      G4double crossSection = RutherfordCrossSection(k, z);
      screenedCrossSection = pi *  crossSection / (n * (n + 1.));
  }    

  return screenedCrossSection;
}
  
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G4double G4CrossSectionElasticScreenedRutherfordLE::RutherfordCrossSection(G4double k, G4double z)
{
  //   
  //                               e^4         /      K + m_e c^2      \^2
  // sigma_Ruth(K) = Z (Z+1) -------------------- | --------------------- |
  //                          (4 pi epsilon_0)^2  \  K * (K + 2 m_e c^2)  /
  //
  // Where K is the electron non-relativistic kinetic energy
  // 
  // NIM 155, pp. 145-156, 1978
  
  G4double length =(e_squared * (k + electron_mass_c2)) / (4 * pi *epsilon0 * k * ( k + 2 * electron_mass_c2));
  G4double cross = z * ( z + 1) * length * length;
  
  return cross;
}

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G4double G4CrossSectionElasticScreenedRutherfordLE::ScreeningFactor(G4double k, G4double z)
{
  //
  //         alpha_1 + beta_1 ln(K/eV)   constK Z^(2/3)
  // n(T) = -------------------------- -----------------
  //              K/(m_e c^2)            2 + K/(m_e c^2)
  //
  // Where K is the electron non-relativistic kinetic energy
  //
  // n(T) > 0 for T < ~ 400 MeV
  // 
  // NIM 155, pp. 145-156, 1978
  // Formulae (2) and (5)

  const G4double alpha_1(1.64);
  const G4double beta_1(-0.0825);
  const G4double constK(1.7E-5);

  G4double numerator = (alpha_1 + beta_1 * std::log(k/eV)) * constK * std::pow(z, 2./3.);

  k /= electron_mass_c2;

  G4double denominator = k * (2 + k);

  G4double value = 0.;
  if (denominator > 0.) value = numerator / denominator;

  return value;
}