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geant4/source/processes/hadronic/models/de_excitation/util/include/G4KalbachCrossSection.hh
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2016-12-09 12:35:28 +01:00

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// $Id: G4KalbachCrossSection.hh 66241 2012-12-13 18:34:42Z gunter $
//
// V.Ivanchenko 13.04.2015
//
// J.M. Quesada 22.04.2015 several fixes
#ifndef G4KalbachCrossSection_h
#define G4KalbachCrossSection_h 1
#include "globals.hh"
#include "G4Exp.hh"
#include "G4Pow.hh"
//from subroutine sigpar of PRECO-2000 by Constance Kalbach Walker
// Calculate optical model reaction cross sections
// using the empirical parameterization
// of Narasimha Murthy, Chaterjee, and Gupta
// going over to the geometrical limit at high energy.
//
// Proton cross sections scaled down with signor for a<100
// (appropriate for becchetti-greenlees potential).
// p2 reduced and global red'n factor introduced below Bc
// Neutron cross sections scaled down with signor for a<40
// Scaled up for A>210 (added June '98 to conform with
// my published papers)
// (appropriate for Mani et al potential)
//
// index: 0-neutron, 1-proton, 2-deuteron, 3-triton, 4-He3, 5-He4
// parameters: p0, p1, p2, lambda0, lambda1, mu0, mu1, nu0, nu1, nu2, ra
static const G4double paramK[6][11] = {
// n from mani, melkanoff and iori
{-312., 0., 0., 12.10, -11.27, 234.1, 38.26, 1.55, -106.1, 1280.8, 0.0},
// p from becchetti and greenlees (but modified with sub-barrier
// correction function and p2 changed from -449)
{15.72, 9.65, -300., 0.00437,-16.58, 244.7, 0.503, 273.1, -182.4, -1.872, 0.0},
// d from o.m. of perey and perey
{0.798, 420.3,-1651., 0.00619, -7.54, 583.5, 0.337, 421.8, -474.5, -3.592, 0.8},
// t from o.m. of hafele, flynn et al
{-21.45,484.7,-1608., 0.0186, -8.9, 686.3, 0.325, 368.9, -522.2, -4.998, 0.8},
// 3he from o.m. of gibson et al
{-2.88,205.6, -1487.,0.00459,-8.93, 611.2, 0.35 , 473.8, -468.2, -2.225, 0.8},
// alpha from huizenga and igo
{ 10.95,-85.2, 1146., 0.0643,-13.96, 781.2, 0.29, -304.7,-470.0, -8.580, 1.2}
};
class G4KalbachCrossSection
{
public:
static G4double ComputePowerParameter(G4int resA, G4int idx)
{
return G4Pow::GetInstance()->powZ(resA, paramK[idx][6]);
}
static G4double ComputeCrossSection(G4double K, G4double cb,
G4double resA13, G4double amu1,
G4int idx, G4int Z, G4int A,
G4int resA)
{
G4double sig = 0.0;
G4double signor = 1.0;
G4double lambda, mu, nu;
G4double ec = 0.5;
if(0 < Z) { ec = cb; }
//JMQ 13.02.2009 tuning for improving cluster emission ddxs
// (spallation benchmark)
/*
G4double xx = 1.7;
if(1 == A) { xx = 1.5; }
ec = 1.44 * Z * resZ / (xx*resA13 + paramK[idx][10]);
}
*/
G4double ecsq = ec*ec;
G4double elab = K * (A + resA) / G4double(resA);
if(idx == 0) { // parameterization for neutron
if(resA < 40) { signor =0.7 + resA*0.0075; }
else if(resA > 210) { signor = 1. + (resA-210)*0.004; }
lambda = paramK[idx][3]/resA13 + paramK[idx][4];
mu = (paramK[idx][5] + paramK[idx][6]*resA13)*resA13;
// JMQ 20.11.2008 very low energy behaviour corrected
// (problem for A (apprx.)>60) fix for avoiding
// neutron xs going to zero at very low energies
nu = std::abs((paramK[idx][7]*resA + paramK[idx][8]*resA13)*resA13
+ paramK[idx][9]);
} else { // parameterization for charged
// proton correction
if(idx == 1) {
if (resA <= 60) { signor = 0.92; }
else if (resA < 100) { signor = 0.8 + resA*0.002; }
}
lambda = paramK[idx][3]*resA + paramK[idx][4];
mu = paramK[idx][5]*amu1;
nu = amu1* (paramK[idx][7] + paramK[idx][8]*ec + paramK[idx][9]*ecsq);
}
/*
G4cout << "## idx= " << idx << " K= " << K << " elab= " << elab << " ec= " << ec
<< " lambda= " << lambda << " mu= " << mu << " nu= " << nu << G4endl;
*/
// threashold cross section
if(elab < ec) {
G4double p = paramK[idx][0];
if(0 < Z) { p += paramK[idx][1]/ec + paramK[idx][2]/ecsq; }
G4double a = -2*p*ec + lambda - nu/ecsq;
G4double b = p*ecsq + mu + 2*nu/ec;
G4double ecut;
G4double det = a*a - 4*p*b;
if (det > 0.0) { ecut = (std::sqrt(det) - a)/(2*p); }
else { ecut = -a/(2*p); }
//G4cout << " elab= " << elab << " ecut= " << ecut << " sig= " << sig
// << " sig1= " << (p*elab*elab + a*elab + b)*signor << G4endl;
// If ecut>0, sig=0 at elab=ecut
if(0 == idx) {
sig = (lambda*ec + mu + nu/ec)*signor*std::sqrt(elab/ec);
} else if(elab >= ecut) {
sig = (p*elab*elab + a*elab + b)*signor;
// extra proton correction
if(1 == idx) {
// c and w are for global correction factor for
// they are scaled down for light targets where ec is low.
G4double cc = std::min(3.15, ec*0.5);
G4double signor2 = (ec - elab - cc) *3.15/ (0.7*cc);
sig /= (1. + G4Exp(signor2));
}
}
//G4cout << " ecut= " << ecut << " a= " << a << " b= " << b
// << " signor= " << signor << " sig= " << sig << G4endl;
// high energy cross section
} else {
// etest is the energy above which the rxn cross section is
// compared with the geometrical limit and the max taken.
// neutron parameters
G4double etest = 32.;
G4double xnulam = 1.0;
// parameters for charged
static const G4double flow = 1.e-18;
static const G4double spill= 1.e+18;
if(0 < Z) {
etest = 0.0;
xnulam = nu / lambda;
xnulam = std::min(xnulam, spill);
if (xnulam >= flow) {
if(1 == idx) { etest = std::sqrt(xnulam) + 7.; }
else { etest = 1.2 *std::sqrt(xnulam); }
}
}
// ** For xnulam.gt.0, sig reaches a maximum at sqrt(xnulam).
sig = (lambda*elab + mu + nu/elab)*signor;
if (xnulam >= flow && elab >= etest) {
G4double geom = std::sqrt(A*K);
geom = 1.23*resA13 + paramK[idx][10] + 4.573/geom;
geom = 31.416 * geom * geom;
sig = std::max(sig, geom);
}
}
sig = std::max(sig, 0.0);
//G4cout << " ---- sig= " << sig << G4endl;
return sig;
}
};
#endif