454 lines
17 KiB
C++
454 lines
17 KiB
C++
//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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//
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// The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
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//
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//
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// G4 Physics class: G4ChipsProtonInelasticXS for gamma+A cross sections
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// Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03
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// The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04
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//
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//
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// ****************************************************************************************
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// Short description: Cross-sections extracted (by W.Pokorski) from the CHIPS package for
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// proton-nuclear interactions. Original author: M. Kossov
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// -------------------------------------------------------------------------------------
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//
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#include "G4ChipsProtonInelasticXS.hh"
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#include "G4SystemOfUnits.hh"
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#include "G4DynamicParticle.hh"
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#include "G4ParticleDefinition.hh"
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#include "G4Proton.hh"
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#include "G4Log.hh"
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#include "G4Exp.hh"
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#include "G4Pow.hh"
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// factory
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#include "G4CrossSectionFactory.hh"
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//
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G4_DECLARE_XS_FACTORY(G4ChipsProtonInelasticXS);
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G4ChipsProtonInelasticXS::G4ChipsProtonInelasticXS():G4VCrossSectionDataSet(Default_Name())
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{
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// Initialization of the
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lastLEN=0; // Pointer to the lastArray of LowEn CS
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lastHEN=0; // Pointer to the lastArray of HighEn CS
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lastN=0; // The last N of calculated nucleus
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lastZ=0; // The last Z of calculated nucleus
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lastP=0.; // Last used in cross section Momentum
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lastTH=0.; // Last threshold momentum
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lastCS=0.; // Last value of the Cross Section
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lastI=0; // The last position in the DAMDB
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LEN = new std::vector<G4double*>;
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HEN = new std::vector<G4double*>;
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}
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G4ChipsProtonInelasticXS::~G4ChipsProtonInelasticXS()
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{
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std::size_t lens=LEN->size();
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for(std::size_t i=0; i<lens; ++i) delete[] (*LEN)[i];
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delete LEN;
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std::size_t hens=HEN->size();
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for(std::size_t i=0; i<hens; ++i) delete[] (*HEN)[i];
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delete HEN;
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}
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void
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G4ChipsProtonInelasticXS::CrossSectionDescription(std::ostream& outFile) const
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{
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outFile << "G4ChipsProtonInelasticXS provides the inelastic cross\n"
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<< "section for proton nucleus scattering as a function of incident\n"
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<< "momentum. The cross section is calculated using M. Kossov's\n"
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<< "CHIPS parameterization of cross section data.\n";
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}
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G4bool G4ChipsProtonInelasticXS::IsIsoApplicable(const G4DynamicParticle*, G4int, G4int,
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const G4Element*,
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const G4Material*)
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{
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return true;
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}
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// The main member function giving the collision cross section (P is in IU, CS is in mb)
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// Make pMom in independent units ! (Now it is MeV)
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G4double G4ChipsProtonInelasticXS::GetIsoCrossSection(const G4DynamicParticle* Pt, G4int tgZ, G4int A,
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const G4Isotope*,
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const G4Element*,
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const G4Material*)
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{
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G4double pMom=Pt->GetTotalMomentum();
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G4int tgN = A - tgZ;
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return GetChipsCrossSection(pMom, tgZ, tgN, 2212);
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}
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G4double G4ChipsProtonInelasticXS::GetChipsCrossSection(G4double pMom, G4int tgZ, G4int tgN, G4int)
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{
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G4bool in=false; // By default the isotope must be found in the AMDB
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if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
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{
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in = false; // By default the isotope haven't been found in AMDB
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lastP = 0.; // New momentum history (nothing to compare with)
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lastN = tgN; // The last N of the calculated nucleus
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lastZ = tgZ; // The last Z of the calculated nucleus
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lastI = (G4int)colN.size(); // Size of the Associative Memory DB in the heap
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j = 0; // A#0f records found in DB for this projectile
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if(lastI) for(G4int i=0; i<lastI; ++i) // AMDB exists, try to find the (Z,N) isotope
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{
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if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
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{
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lastI=i; // Remember the index for future fast/last use
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lastTH =colTH[i]; // The last THreshold (A-dependent)
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if(pMom<=lastTH)
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{
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return 0.; // Energy is below the Threshold value
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}
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lastP =colP [i]; // Last Momentum (A-dependent)
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lastCS =colCS[i]; // Last CrossSect (A-dependent)
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in = true; // This is the case when the isotop is found in DB
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// Momentum pMom is in IU ! @@ Units
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lastCS=CalculateCrossSection(-1,j,2212,lastZ,lastN,pMom); // read & update
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if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
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{
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lastCS=0.;
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lastTH=pMom;
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}
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break; // Go out of the LOOP
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}
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j++; // Increment a#0f records found in DB
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}
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if(!in) // This isotope has not been calculated previously
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{
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//!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
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lastCS=CalculateCrossSection(0,j,2212,lastZ,lastN,pMom); //calculate & create
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//if(lastCS>0.) // It means that the AMBD was initialized
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//{
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lastTH = 0; //ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
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colN.push_back(tgN);
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colZ.push_back(tgZ);
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colP.push_back(pMom);
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colTH.push_back(lastTH);
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colCS.push_back(lastCS);
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//} // M.K. Presence of H1 with high threshold breaks the syncronization
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return lastCS*millibarn;
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} // End of creation of the new set of parameters
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else
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{
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colP[lastI]=pMom;
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colCS[lastI]=lastCS;
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}
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} // End of parameters udate
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else if(pMom<=lastTH)
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{
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return 0.; // Momentum is below the Threshold Value -> CS=0
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}
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else // It is the last used -> use the current tables
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{
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lastCS=CalculateCrossSection(1,j,2212,lastZ,lastN,pMom); // Only read and UpdateDB
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lastP=pMom;
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}
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return lastCS*millibarn;
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}
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// The main member function giving the gamma-A cross section (E in GeV, CS in mb)
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G4double G4ChipsProtonInelasticXS::CalculateCrossSection(G4int F, G4int I,
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G4int, G4int targZ, G4int targN, G4double Momentum)
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{
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static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
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static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
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static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
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static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
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static const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
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static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
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static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
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static const G4int nH=224; // A#of HEN points in lnE
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static const G4double milP=G4Log(Pmin);// Low logarithm energy for the HEN part
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static const G4double malP=G4Log(Pmax);// High logarithm energy (each 2.75 percent)
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static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
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static const G4double milPG=G4Log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
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G4double sigma=0.;
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if(F&&I) sigma=0.; // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
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//G4double A=targN+targZ; // A of the target
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if(F<=0) // This isotope was not the last used isotop
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{
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if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
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{
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G4int sync=(G4int)LEN->size();
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if(sync<=I) G4cout<<"*!*G4QProtonNuclCS::CalcCrossSect:Sync="<<sync<<"<="<<I<<G4endl;
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lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
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lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
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}
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else // This isotope wasn't calculated before => CREATE
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{
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lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
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lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
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// --- Instead of making a separate function ---
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G4double P=THmiG; // Table threshold in GeV/c
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for(G4int k=0; k<nL; ++k)
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{
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lastLEN[k] = CrossSectionLin(targZ, targN, P);
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P+=dPG;
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}
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G4double lP=milPG;
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for(G4int n=0; n<nH; ++n)
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{
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lastHEN[n] = CrossSectionLog(targZ, targN, lP);
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lP+=dlP;
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}
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// --- End of possible separate function
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// *** The synchronization check ***
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G4int sync=(G4int)LEN->size();
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if(sync!=I)
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{
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G4cout<<"***G4ChipsProtonNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
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<<", N="<<targN<<", F="<<F<<G4endl;
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//G4Exception("G4ProtonNuclearCS::CalculateCS:","39",FatalException,"overflow DB");
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}
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LEN->push_back(lastLEN); // remember the Low Energy Table
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HEN->push_back(lastHEN); // remember the High Energy Table
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} // End of creation of the new set of parameters
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} // End of parameters udate
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// =------------------= NOW the Magic Formula =-----------------------=
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if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
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else if (Momentum<Pmin) // High Energy region
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{
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sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
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}
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else if (Momentum<Pmax) // High Energy region
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{
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G4double lP=G4Log(Momentum);
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sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
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}
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else // UHE region (calculation, not frequent)
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{
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G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
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sigma=CrossSectionFormula(targZ, targN, P, G4Log(P));
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}
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if(sigma<0.) return 0.;
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return sigma;
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}
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// Electromagnetic momentum-threshold (in MeV/c)
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G4double G4ChipsProtonInelasticXS::ThresholdMomentum(G4int tZ, G4int tN)
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{
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static const G4double third=1./3.;
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static const G4double pM = G4Proton::Proton()->Definition()->GetPDGMass(); // Projectile mass in MeV
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static const G4double tpM= pM+pM; // Doubled projectile mass (MeV)
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G4double tA=tZ+tN;
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if(tZ<.99 || tN<0.) return 0.;
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else if(tZ==1 && tN==0) return 800.; // A threshold on the free proton
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//G4double dE=1.263*tZ/(1.+G4Pow::GetInstance()->powA(tA,third));
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G4double dE=tZ/(1.+G4Pow::GetInstance()->powA(tA,third)); // Safety for diffused edge of the nucleus (QE)
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G4double tM=931.5*tA;
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G4double T=dE+dE*(dE/2+pM)/tM;
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return std::sqrt(T*(tpM+T));
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}
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// Calculation formula for proton-nuclear inelastic cross-section (mb) (P in GeV/c)
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G4double G4ChipsProtonInelasticXS::CrossSectionLin(G4int tZ, G4int tN, G4double P)
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{
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G4double sigma=0.;
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if(P<ThresholdMomentum(tZ,tN)*.001) return sigma;
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G4double lP=G4Log(P);
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if(tZ==1&&!tN){if(P>.35) sigma=CrossSectionFormula(tZ,tN,P,lP);}// s(pp)=0 below 350Mev/c
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else if(tZ<97 && tN<152) // General solution
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{
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G4double pex=0.;
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G4double pos=0.;
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G4double wid=1.;
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if(tZ==13 && tN==14) // Excited metastable states
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{
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pex=230.;
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pos=.13;
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wid=8.e-5;
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}
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else if(tZ<7)
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{
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if(tZ==6 && tN==6)
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{
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pex=320.;
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pos=.14;
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wid=7.e-6;
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}
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else if(tZ==5 && tN==6)
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{
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pex=270.;
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pos=.17;
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wid=.002;
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}
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else if(tZ==4 && tN==5)
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{
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pex=600.;
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pos=.132;
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wid=.005;
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}
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else if(tZ==3 && tN==4)
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{
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pex=280.;
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pos=.19;
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wid=.0025;
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}
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else if(tZ==3 && tN==3)
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{
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pex=370.;
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pos=.171;
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wid=.006;
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}
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else if(tZ==2 && tN==1)
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{
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pex=30.;
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pos=.22;
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wid=.0005;
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}
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}
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sigma=CrossSectionFormula(tZ,tN,P,lP);
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if(pex>0.)
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{
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G4double dp=P-pos;
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sigma+=pex*G4Exp(-dp*dp/wid);
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}
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}
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else
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{
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G4cerr<<"-Warning-G4ChipsProtonNuclearXS::CSLin:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
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sigma=0.;
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}
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if(sigma<0.) return 0.;
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return sigma;
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}
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// Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
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G4double G4ChipsProtonInelasticXS::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
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{
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G4double P=G4Exp(lP);
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return CrossSectionFormula(tZ, tN, P, lP);
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}
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// Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
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G4double G4ChipsProtonInelasticXS::CrossSectionFormula(G4int tZ, G4int tN,
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G4double P, G4double lP)
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{
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G4double sigma=0.;
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if(tZ==1 && !tN) // pp interaction (from G4QuasiElasticRatios)
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{
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G4double El(0.),To(0.); // Uzhi
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if(P<0.1) // Copied from G4QuasiElasticRatios Uzhi / start
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{
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G4double p2=P*P;
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El=1./(0.00012+p2*0.2);
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To=El;
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}
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else if(P>1000.)
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{
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G4double lp=G4Log(P)-3.5;
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G4double lp2=lp*lp;
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El=0.0557*lp2+6.72;
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To=0.3*lp2+38.2;
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}
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else
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{
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G4double p2=P*P;
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G4double LE=1./(0.00012+p2*0.2);
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G4double lp=G4Log(P)-3.5;
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G4double lp2=lp*lp;
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G4double rp2=1./p2;
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El=LE+(0.0557*lp2+6.72+32.6/P)/(1.+rp2/P);
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To=LE+(0.3 *lp2+38.2+52.7*rp2)/(1.+2.72*rp2*rp2);
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} // Copied from G4QuasiElasticRatios Uzhi / end
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/* // Uzhi 4.03.2013
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G4double p2=P*P;
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G4double lp=lP-3.5;
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G4double lp2=lp*lp;
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G4double rp2=1./p2;
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G4double El=(.0557*lp2+6.72+30./P)/(1.+.49*rp2/P);
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G4double To=(.3*lp2+38.2)/(1.+.54*rp2*rp2);
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*/ // Uzhi 4.03.2013
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sigma=To-El;
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}
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else if(tZ<97 && tN<152) // General solution
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{
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//G4double lP=G4Log(P); // Already calculated
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G4double d=lP-4.2;
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G4double p2=P*P;
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G4double p4=p2*p2;
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G4double a=tN+tZ; // A of the target
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G4double al=G4Log(a);
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G4double sa=std::sqrt(a);
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G4double a2=a*a;
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G4double a2s=a2*sa;
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G4double a4=a2*a2;
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G4double a8=a4*a4;
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G4double a12=a8*a4;
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G4double a16=a8*a8;
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G4double c=(170.+3600./a2s)/(1.+65./a2s);
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G4double dl=al-3.;
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G4double dl2=dl*dl;
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G4double r=.21+.62*dl2/(1.+.5*dl2);
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G4double gg=40.*G4Exp(al*0.712)/(1.+12.2/a)/(1.+34./a2);
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G4double e=318.+a4/(1.+.0015*a4/G4Exp(al*0.09))/(1.+4.e-28*a12)+
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8.e-18/(1./a16+1.3e-20)/(1.+1.e-21*a12);
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G4double ss=3.57+.009*a2/(1.+.0001*a2*a);
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G4double h=(.01/a4+2.5e-6/a)*(1.+6.e-6*a2*a)/(1.+6.e7/a12/a2);
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sigma=(c+d*d)/(1.+r/p4)+(gg+e*G4Exp(-ss*P))/(1.+h/p4/p4);
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}
|
|
else
|
|
{
|
|
G4cerr<<"-Warning-G4QProtonNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
|
|
sigma=0.;
|
|
}
|
|
if(sigma<0.) return 0.;
|
|
return sigma;
|
|
}
|
|
|
|
G4double G4ChipsProtonInelasticXS::EquLinearFit(G4double X, G4int N, G4double X0, G4double DX, G4double* Y)
|
|
{
|
|
if(DX<=0. || N<2)
|
|
{
|
|
G4cerr<<"***G4ChipsProtonInelasticXS::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;
|
|
}
|