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geant4/source/processes/hadronic/cross_sections/src/G4ChipsKaonMinusInelasticXS.cc
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// The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
//
//
// G4 Physics class: G4ChipsKaonMinusInelasticXS for gamma+A cross sections
// Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03
// The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04
// --------------------------------------------------------------------------------
// Short description: Cross-sections extracted from the CHIPS package for
// kaon(minus)-nuclear interactions. Author: M. Kossov
// -------------------------------------------------------------------------------------
//
#include "G4ChipsKaonMinusInelasticXS.hh"
#include "G4SystemOfUnits.hh"
#include "G4DynamicParticle.hh"
#include "G4ParticleDefinition.hh"
#include "G4KaonMinus.hh"
// factory
#include "G4CrossSectionFactory.hh"
//
G4_DECLARE_XS_FACTORY(G4ChipsKaonMinusInelasticXS);
namespace {
const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
const G4int nH=224; // A#of HEN points in lnE
const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
const G4double milPG=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
}
// Initialization of the
G4ChipsKaonMinusInelasticXS::G4ChipsKaonMinusInelasticXS():G4VCrossSectionDataSet(Default_Name())
{
lastLEN=0; // Pointer to lastArray of LowEn CS
lastHEN=0; // Pointer to lastArray of HighEn CS
lastN=0; // The last N of calculated nucleus
lastZ=0; // The last Z of calculated nucleus
lastP=0.; // Last used in CrossSection Momentum
lastTH=0.; // Last threshold momentum
lastCS=0.; // Last value of the Cross Section
lastI=0; // The last position in the DAMDB
LEN = new std::vector<G4double*>;
HEN = new std::vector<G4double*>;
}
G4ChipsKaonMinusInelasticXS::~G4ChipsKaonMinusInelasticXS()
{
G4int lens=LEN->size();
for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i];
delete LEN;
G4int hens=HEN->size();
for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i];
delete HEN;
}
void
G4ChipsKaonMinusInelasticXS::CrossSectionDescription(std::ostream& outFile) const
{
outFile << "G4ChipsKaonMinusInelasticXS provides the inelastic cross\n"
<< "section for K- nucleus scattering as a function of incident\n"
<< "momentum. The cross section is calculated using M. Kossov's\n"
<< "CHIPS parameterization of cross section data.\n";
}
G4bool G4ChipsKaonMinusInelasticXS::IsIsoApplicable(const G4DynamicParticle*, G4int, G4int,
const G4Element*,
const G4Material*)
{
return true;
}
// The main member function giving the collision cross section (P is in IU, CS is in mb)
// Make pMom in independent units ! (Now it is MeV)
G4double G4ChipsKaonMinusInelasticXS::GetIsoCrossSection(const G4DynamicParticle* Pt, G4int tgZ, G4int A,
const G4Isotope*,
const G4Element*,
const G4Material*)
{
G4double pMom=Pt->GetTotalMomentum();
G4int tgN = A - tgZ;
return GetChipsCrossSection(pMom, tgZ, tgN, -321);
}
G4double G4ChipsKaonMinusInelasticXS::GetChipsCrossSection(G4double pMom, G4int tgZ, G4int tgN, G4int)
{
G4bool in=false; // By default the isotope must be found in the AMDB
if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
{
in = false; // By default the isotope haven't be found in AMDB
lastP = 0.; // New momentum history (nothing to compare with)
lastN = tgN; // The last N of the calculated nucleus
lastZ = tgZ; // The last Z of the calculated nucleus
lastI = colN.size(); // Size of the Associative Memory DB in the heap
j = 0; // A#0f records found in DB for this projectile
if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
{
if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
{
lastI=i; // Remember the index for future fast/last use
lastTH =colTH[i]; // The last THreshold (A-dependent)
if(pMom<=lastTH)
{
return 0.; // Energy is below the Threshold value
}
lastP =colP [i]; // Last Momentum (A-dependent)
lastCS =colCS[i]; // Last CrossSect (A-dependent)
in = true; // This is the case when the isotop is found in DB
// Momentum pMom is in IU ! @@ Units
lastCS=CalculateCrossSection(-1,j,-321,lastZ,lastN,pMom); // read & update
if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
{
lastCS=0.;
lastTH=pMom;
}
break; // Go out of the LOOP
}
j++; // Increment a#0f records found in DB
}
if(!in) // This isotope has not been calculated previously
{
//!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
lastCS=CalculateCrossSection(0,j,-321,lastZ,lastN,pMom); //calculate & create
//if(lastCS>0.) // It means that the AMBD was initialized
//{
// lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
lastTH = 0; // WP - to be checked!!!
colN.push_back(tgN);
colZ.push_back(tgZ);
colP.push_back(pMom);
colTH.push_back(lastTH);
colCS.push_back(lastCS);
//} // M.K. Presence of H1 with high threshold breaks the syncronization
return lastCS*millibarn;
} // End of creation of the new set of parameters
else
{
colP[lastI]=pMom;
colCS[lastI]=lastCS;
}
} // End of parameters udate
else if(pMom<=lastTH)
{
return 0.; // Momentum is below the Threshold Value -> CS=0
}
else // It is the last used -> use the current tables
{
lastCS=CalculateCrossSection(1,j,-321,lastZ,lastN,pMom); // Only read and UpdateDB
lastP=pMom;
}
return lastCS*millibarn;
}
// The main member function giving the gamma-A cross section (E in GeV, CS in mb)
G4double G4ChipsKaonMinusInelasticXS::CalculateCrossSection(G4int F, G4int I,
G4int, G4int targZ, G4int targN, G4double Momentum)
{
G4double sigma=0.;
if(F&&I) sigma=0.; // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
//G4double A=targN+targZ; // A of the target
if(F<=0) // This isotope was not the last used isotop
{
if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
{
G4int sync=LEN->size();
if(sync<=I) G4cerr<<"*!*G4QPiMinusNuclCS::CalcCrosSect:Sync="<<sync<<"<="<<I<<G4endl;
lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
}
else // This isotope wasn't calculated before => CREATE
{
lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
// --- Instead of making a separate function ---
G4double P=THmiG; // Table threshold in GeV/c
for(G4int k=0; k<nL; k++)
{
lastLEN[k] = CrossSectionLin(targZ, targN, P);
P+=dPG;
}
G4double lP=milPG;
for(G4int n=0; n<nH; n++)
{
lastHEN[n] = CrossSectionLog(targZ, targN, lP);
lP+=dlP;
}
// --- End of possible separate function
// *** The synchronization check ***
G4int sync=LEN->size();
if(sync!=I)
{
G4cerr<<"***G4ChipsKaonMinusCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
<<", N="<<targN<<", F="<<F<<G4endl;
//G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow");
}
LEN->push_back(lastLEN); // remember the Low Energy Table
HEN->push_back(lastHEN); // remember the High Energy Table
} // End of creation of the new set of parameters
} // End of parameters udate
// =------------------= NOW the Magic Formula =--------------------------=
if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
else if (Momentum<Pmin) // High Energy region
{
sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
}
else if (Momentum<Pmax) // High Energy region
{
G4double lP=std::log(Momentum);
sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
}
else // UHE region (calculation, not frequent)
{
G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
}
if(sigma<0.) return 0.;
return sigma;
}
// Calculation formula for piMinus-nuclear inelastic cross-section (mb) (P in GeV/c)
G4double G4ChipsKaonMinusInelasticXS::CrossSectionLin(G4int tZ, G4int tN, G4double P)
{
G4double lP=std::log(P);
return CrossSectionFormula(tZ, tN, P, lP);
}
// Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
G4double G4ChipsKaonMinusInelasticXS::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
{
G4double P=std::exp(lP);
return CrossSectionFormula(tZ, tN, P, lP);
}
// Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
G4double G4ChipsKaonMinusInelasticXS::CrossSectionFormula(G4int tZ, G4int tN,
G4double P, G4double lP)
{
G4double sigma=0.;
if(tZ==1 && !tN) // PiMin-Proton interaction from G4QuasiElRatios
{
G4double ld=lP-3.5;
G4double ld2=ld*ld;
G4double p2=P*P;
G4double p4=p2*p2;
G4double sp=std::sqrt(P);
G4double psp=P*sp;
G4double lm=P-.39;
G4double md=lm*lm+.000156;
G4double lh=P-1.;
G4double hd=lh*lh+.0156;
G4double El=(.0557*ld2+2.23)/(1.-.7/sp+.075/p4);
G4double To=(.3*ld2+19.5)/(1.-.21/sp+.52/p4);
sigma=8.8/psp+(To-El)+.002/md+.15/hd;
}
else if(tZ==1 && tN==1) // kmp_tot
{
G4double p2=P*P;
G4double dX=lP-3.7;
G4double dR=P-.94;
G4double sp=std::sqrt(P);
sigma=(.6*dX*dX+36.)/(1.-.11/sp+.52/p2/p2)+.7/(dR*dR+.0256)+18./P/sp;
}
else if(tZ<97 && tN<152) // General solution
{
G4double d=lP-4.2;
G4double sp=std::sqrt(P);
G4double p2=P*P;
G4double a=tN+tZ; // A of the target
G4double sa=std::sqrt(a);
G4double al=std::log(a);
G4double a2=a*a;
G4double c=52.*std::exp(al*0.6)*(1.+97./a2)/(1.+9.8/a)/(1.+47./a2);
G4double gg=-.2-.003*a;
G4double h=.5+.07*a;
G4double v=P-1.;
G4double f=.6*a*sa/(1.+.00002*a2);
G4double u=.125+.127*al;
sigma=(c+d*d)/(1.+gg/sp+h/p2/p2)+f/(v*v+u*u)+20.*sa/P/sp;
}
else
{
G4cerr<<"-Warning-G4ChipsKMinusNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
sigma=0.;
}
if(sigma<0.) return 0.;
return sigma;
}
G4double G4ChipsKaonMinusInelasticXS::EquLinearFit(G4double X, G4int N, G4double X0, G4double DX, G4double* Y)
{
if(DX<=0. || N<2)
{
G4cerr<<"***G4ChipsKaonMinusInelasticXS::EquLinearFit: DX="<<DX<<", N="<<N<<G4endl;
return Y[0];
}
G4int N2=N-2;
G4double d=(X-X0)/DX;
G4int jj=static_cast<int>(d);
if (jj<0) jj=0;
else if(jj>N2) jj=N2;
d-=jj; // excess
G4double yi=Y[jj];
G4double sigma=yi+(Y[jj+1]-yi)*d;
return sigma;
}