G4INCLDeuteronDensity.cc

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//
// INCL++ intra-nuclear cascade model
// Pekka Kaitaniemi, CEA and Helsinki Institute of Physics
// Davide Mancusi, CEA
// Alain Boudard, CEA
// Sylvie Leray, CEA
// Joseph Cugnon, University of Liege
//
#define INCLXX_IN_GEANT4_MODE 1

#include "globals.hh"

#include "G4INCLDeuteronDensity.hh"
#include "G4INCLGlobals.hh"
// #include <cassert>
#include <algorithm>

namespace G4INCL {

  const G4double DeuteronDensity::coeff1[coeffTableSize] = {
    0.88688076e+0,
    -0.34717093e+0,
    -0.30502380e+1,
    0.56207766e+2,
    -0.74957334e+3,
    0.53365279e+4,
    -0.22706863e+5,
    0.60434469e+5,
    -0.10292058e+6,
    0.11223357e+6,
    -0.75925226e+5,
    0.29059715e+5,
    -0.48157368e+4
  };

  const G4double DeuteronDensity::coeff2[coeffTableSize] = {
    0.23135193e-1,
    -0.85604572e+0,
    0.56068193e+1,
    -0.69462922e+2,
    0.41631118e+3,
    -0.12546621e+4,
    0.12387830e+4,
    0.33739172e+4,
    -0.13041151e+5,
    0.19512524e+5,
    -0.15634324e+5,
    0.66231089e+4,
    -0.11698185e+4
  };

  const G4double DeuteronDensity::normalisationR = std::sqrt(32. * Math::pi) * 0.28212;

  const G4double DeuteronDensity::normalisationP = normalisationR / (std::sqrt(4. * Math::pi) * std::pow(PhysicalConstants::hc,1.5));

  const G4double DeuteronDensity::al = 0.23162461;

  G4double DeuteronDensity::densityR(const G4double r) {
    const G4double sWave = wavefunctionR(0, r);
    const G4double dWave = wavefunctionR(2, r);
    return r*r*(sWave*sWave + dWave*dWave);
  }

  G4double DeuteronDensity::derivDensityR(const G4double r) {
    const G4double sWave = wavefunctionR(0, r);
    const G4double dWave = wavefunctionR(2, r);
    const G4double sWaveDeriv = derivWavefunctionR(0, r);
    const G4double dWaveDeriv = derivWavefunctionR(2, r);
    return (sWave*sWaveDeriv + dWave*dWaveDeriv) / Math::twoPi;
  }

  G4double DeuteronDensity::densityP(const G4double p) {
    const G4double sWave = wavefunctionP(0, p);
    const G4double dWave = wavefunctionP(2, p);
    return p*p*(sWave*sWave + dWave*dWave);
  }

  G4double DeuteronDensity::wavefunctionR(const G4int l, const G4double theR) {
// assert(l==0 || l==2); // only s- and d-waves in a deuteron
    const G4double r = 2. * std::max(theR, 1.e-4);

    G4double result = 0.;
    G4double fmr;

    for(G4int i=0; i<coeffTableSize; ++i) {
      fmr = r * (al+i);
      if(l==0) { // s-wave
        result += coeff1[i] * std::exp(-fmr);
      } else { // d-wave
        result += coeff2[i] * std::exp(-fmr) * (1.+3./fmr+3./(fmr*fmr));
      }
    }

    result *= normalisationR/r;
    return result;
  }

  G4double DeuteronDensity::derivWavefunctionR(const G4int l, const G4double theR) {
// assert(l==0 || l==2); // only s- and d-waves in a deuteron
    const G4double r = 2. * std::max(theR, 1.e-4);

    G4double result = 0.;
    G4double fmr;

    for(G4int i=0; i<coeffTableSize; ++i) {
      fmr = r * (al+i);
      if(l==0) { // s-wave
        result += coeff1[i] * std::exp(-fmr) * (fmr + 1.);
      } else { // d-wave
        result += coeff2[i] * std::exp(-fmr) * (fmr + 4. + 9./fmr + 9./(fmr*fmr));
      }
    }

    result *= -normalisationR/(r*r);
    return result;
  }

  G4double DeuteronDensity::wavefunctionP(const G4int l, const G4double theQ) {
// assert(l==0 || l==2); // only s- and d-waves in a deuteron
    const G4double q = theQ / PhysicalConstants::hc;
    const G4double q2 = q*q;
    G4double result=0.;
    G4double fmq, alPlusI;
    for(G4int i=0; i<coeffTableSize; ++i) {
      alPlusI = al+i;
      fmq = q2 + alPlusI*alPlusI;
      if(l==0) { // s-wave
        result += coeff1[i] / fmq;
      } else { // d-wave
        result += coeff2[i] / fmq;
      }
    }

    result *= normalisationP;
    return result;
  }

}