Gabriele Cosmo
1437 lines
42 KiB
C++
1437 lines
42 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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// The generator of high energy hadron-nucleus elastic scattering
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// The hadron kinetic energy T > 1 GeV
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// N.Starkov 2003.
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//
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// 19.11.05 The HE elastic scattering on proton is added (N.Starkov)
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// 16.11.06 The low energy boundary is shifted to T = 400 MeV (N.Starkov)
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// 23.11.06 General cleanup, ONQ0=3, use pointer instead of particle name (VI)
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// 02.05.07 Scale sampled t as p^2 (VI)
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// 15.05.07 Redesign and cleanup (V.Ivanchenko)
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// 17.05.07 cleanup (V.Grichine)
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// 19.04.12 Fixed reproducibility violation (A.Ribon)
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// 12.06.12 Fixed warnings of shadowed variables (A.Ribon)
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//
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#include "G4ElasticHadrNucleusHE.hh"
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#include "G4PhysicalConstants.hh"
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#include "G4SystemOfUnits.hh"
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#include "Randomize.hh"
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#include "G4ios.hh"
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#include "G4ParticleTable.hh"
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#include "G4NucleiProperties.hh"
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#include "G4IonTable.hh"
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#include "G4Proton.hh"
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#include "G4PionPlus.hh"
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#include "G4PionMinus.hh"
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#include "G4NistManager.hh"
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#include "G4ProductionCutsTable.hh"
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#include "G4MaterialCutsCouple.hh"
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#include "G4Material.hh"
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#include "G4Element.hh"
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#include "G4Log.hh"
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#include "G4Exp.hh"
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using namespace std;
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const G4int G4ElasticHadrNucleusHE::fHadronCode[] =
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{211,-211,2112,2212,321,-321,130,310,311,-311,
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3122,3222,3112,3212,3312,3322,3334,
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-2212,-2112,-3122,-3222,-3112,-3212,-3312,-3322,-3334};
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const G4int G4ElasticHadrNucleusHE::fHadronType[] =
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{2,3,6,0,4,5,4,4,4,5,
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0,0,0,0,0,0,0,
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1,7,1,1,1,1,1,1,1};
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const G4int G4ElasticHadrNucleusHE::fHadronType1[] =
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{3,4,1,0,5,6,5,5,5,6,
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0,0,0,0,0,0,0,
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2,2,2,2,2,2,2,2,2};
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G4double G4ElasticHadrNucleusHE::fLineF[] = {0.0};
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G4double G4ElasticHadrNucleusHE::fEnergy[] = {0.0};
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G4double G4ElasticHadrNucleusHE::fLowEdgeEnergy[] = {0.0};
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G4double G4ElasticHadrNucleusHE::fBinom[240][240] = {{0.0}};
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G4ElasticData*
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G4ElasticHadrNucleusHE::fElasticData[NHADRONS][ZMAX] = {{nullptr}};
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#ifdef G4MULTITHREADED
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G4Mutex G4ElasticHadrNucleusHE::elasticMutex = G4MUTEX_INITIALIZER;
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#endif
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G4bool G4ElasticHadrNucleusHE::fStoreToFile = false;
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G4bool G4ElasticHadrNucleusHE::fRetrieveFromFile = false;
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const G4double invGeV = 1.0/CLHEP::GeV;
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const G4double MbToGeV2 = 2.568;
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const G4double GeV2 = CLHEP::GeV*CLHEP::GeV;
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const G4double invGeV2 = 1.0/GeV2;
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const G4double protonM = CLHEP::proton_mass_c2*invGeV;
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const G4double protonM2 = protonM*protonM;
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///////////////////////////////////////////////////////////////
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G4ElasticData::G4ElasticData(const G4ParticleDefinition* p,
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G4int Z, G4int A, const G4double* e)
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{
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G4double massGeV = p->GetPDGMass()*invGeV;
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G4double mass2GeV2= massGeV*massGeV;
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DefineNucleusParameters(A);
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G4double limitQ2 = 35./(R1*R1); // (GeV/c)^2
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massA = G4NucleiProperties::GetNuclearMass(A, Z)*invGeV;
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massA2 = massA*massA;
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/*
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G4cout << " G4ElasticData for " << p->GetParticleName()
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<< " Z= " << Z << " A= " << A << " R1= " << R1
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<< " R2= " << R2 << G4endl;
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*/
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for(G4int kk = 0; kk<NENERGY; ++kk)
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{
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G4double elab = e[kk] + massGeV;
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G4double plab2= e[kk]*(e[kk] + 2.0*massGeV);
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G4double Q2m = 4.0*plab2*massA2/(mass2GeV2 + massA2 + 2.*massA*elab);
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if(Z == 1 && p == G4Proton::Proton()) { Q2m *= 0.5; }
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maxQ2[kk] = Q2m;
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/*
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G4cout << " Ekin= " << e[kk] << " Q2m= " << Q2m
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<< " limitQ2= " << limitQ2 << G4endl;
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*/
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}
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dQ2 = limitQ2/(G4double)(ONQ2-2);
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}
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/////////////////////////////////////////////////////////////////////////
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void G4ElasticData::DefineNucleusParameters(G4int A)
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{
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switch (A) {
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case 207:
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case 208:
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R1 = 20.5;
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R2 = 15.74;
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Pnucl = 0.4;
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Aeff = 0.7;
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break;
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case 237:
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case 238:
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R1 = 21.7;
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R2 = 16.5;
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Pnucl = 0.4;
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Aeff = 0.7;
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break;
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case 90:
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case 91:
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R1 = 16.5;
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R2 = 11.62;
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Pnucl = 0.4;
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Aeff = 0.7;
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break;
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case 58:
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case 59:
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R1 = 15.75;
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R2 = 9.9;
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Pnucl = 0.45;
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Aeff = 0.85;
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break;
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case 48:
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case 47:
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R1 = 14.0;
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R2 = 9.26;
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Pnucl = 0.31;
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Aeff = 0.75;
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break;
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case 40:
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case 41:
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R1 = 13.3;
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R2 = 9.26;
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Pnucl = 0.31;
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Aeff = 0.75;
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break;
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case 28:
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case 29:
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R1 = 12.0;
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R2 = 7.64;
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Pnucl = 0.253;
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Aeff = 0.8;
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break;
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case 16:
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R1 = 10.50;
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R2 = 5.5;
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Pnucl = 0.7;
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Aeff = 0.98;
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break;
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case 12:
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R1 = 9.3936;
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R2 = 4.63;
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Pnucl = 0.7;
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Aeff = 1.0;
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break;
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case 11:
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R1 = 9.0;
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R2 = 5.42;
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Pnucl = 0.19;
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Aeff = 0.9;
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break;
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case 9:
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R1 = 9.9;
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R2 = 6.5;
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Pnucl = 0.690;
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Aeff = 0.95;
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break;
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case 4:
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R1 = 5.3;
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R2 = 3.7;
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Pnucl = 0.4;
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Aeff = 0.75;
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break;
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case 1:
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R1 = 4.5;
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R2 = 2.3;
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Pnucl = 0.177;
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Aeff = 0.9;
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break;
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default:
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R1 = 4.45*G4Exp(G4Log((G4double)(A - 1))*0.309)*0.9;
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R2 = 2.3 *G4Exp(G4Log((G4double)A)* 0.36);
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if(A < 100 && A > 3) { Pnucl = 0.176 + 0.00275*A; }
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else { Pnucl = 0.4; }
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//G4cout<<" Deault: A= "<<A<<" R1 R2 Aeff Pnucl "<<R1<<" "<<R2<<" "
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// <<Aeff<<" "<<Pnucl<<G4endl;
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if(A >= 100) { Aeff = 0.7; }
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else if(A < 100 && A > 75) { Aeff = 1.5 - 0.008*A; }
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else { Aeff = 0.9; }
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break;
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}
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//G4cout<<" Result: A= "<<A<<" R1 R2 Aeff Pnucl "<<R1<<" "<<R2<<" "
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// <<Aeff<<" "<<Pnucl<<G4endl;
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}
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////////////////////////////////////////////////////////////////////
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G4ElasticHadrNucleusHE::G4ElasticHadrNucleusHE(const G4String& name)
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: G4HadronElastic(name), fDirectory(nullptr), isMaster(false)
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{
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dQ2 = hMass = hMass2 = hLabMomentum = hLabMomentum2 = HadrEnergy
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= R1 = R2 = Pnucl = Aeff = HadrTot = HadrSlope = HadrReIm = TotP = DDSect2
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= DDSect3 = ConstU = Slope1 = Slope2 = Coeff1 = Coeff2
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= Slope0 = Coeff0 = aAIm = aDIm = Dtot11 = Q2max = 0.0;
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iHadrCode = iHadron = iHadron1 = 0;
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verboseLevel = 0;
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ekinLowLimit = 400.0*CLHEP::MeV;
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BoundaryP[0]=9.0; BoundaryTG[0]=5.0;BoundaryTL[0]=0.;
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BoundaryP[1]=20.0;BoundaryTG[1]=1.5;BoundaryTL[1]=0.;
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BoundaryP[2]=5.0; BoundaryTG[2]=1.0;BoundaryTL[2]=1.5;
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BoundaryP[3]=8.0; BoundaryTG[3]=3.0;BoundaryTL[3]=0.;
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BoundaryP[4]=7.0; BoundaryTG[4]=3.0;BoundaryTL[4]=0.;
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BoundaryP[5]=5.0; BoundaryTG[5]=2.0;BoundaryTL[5]=0.;
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BoundaryP[6]=5.0; BoundaryTG[6]=1.5;BoundaryTL[6]=3.0;
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nistManager = G4NistManager::Instance();
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if(fEnergy[0] == 0.0) {
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#ifdef G4MULTITHREADED
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G4MUTEXLOCK(&elasticMutex);
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if(fEnergy[0] == 0.0) {
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#endif
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isMaster = true;
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Binom();
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// energy in GeV
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fEnergy[0] = 0.4;
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fEnergy[1] = 0.6;
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fEnergy[2] = 0.8;
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fEnergy[3] = 1.0;
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fLowEdgeEnergy[0] = 0.0;
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fLowEdgeEnergy[1] = 0.5;
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fLowEdgeEnergy[2] = 0.7;
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fLowEdgeEnergy[3] = 0.9;
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G4double f = G4Exp(G4Log(10.)*0.1);
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G4double e = f*f;
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for(G4int i=4; i<NENERGY; ++i) {
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fEnergy[i] = e;
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fLowEdgeEnergy[i] = e/f;
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e *= f*f;
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}
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if(verboseLevel > 0) {
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G4cout << "### G4ElasticHadrNucleusHE: energy points in GeV" << G4endl;
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for(G4int i=0; i<NENERGY; ++i) {
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G4cout << " " << i << " " << fLowEdgeEnergy[i]
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<< " " << fEnergy[i] << G4endl;
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}
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}
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#ifdef G4MULTITHREADED
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}
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G4MUTEXUNLOCK(&elasticMutex);
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#endif
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}
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}
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///////////////////////////////////////////////////////////////////
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void G4ElasticHadrNucleusHE::ModelDescription(std::ostream& outFile) const
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{
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outFile << "G4ElasticHadrNucleusHE is a hadron-nucleus elastic scattering\n"
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<< "model developed by N. Starkov which uses a Glauber model\n"
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<< "parameterization to calculate the final state. It is valid\n"
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<< "for all hadrons with incident momentum above 0.4 GeV/c.\n";
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}
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///////////////////////////////////////////////////////////////////
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G4ElasticHadrNucleusHE::~G4ElasticHadrNucleusHE()
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{
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if(isMaster) {
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for(G4int j = 0; j < NHADRONS; ++j) {
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for(G4int k = 0; k < ZMAX; ++k) {
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G4ElasticData* ptr = fElasticData[j][k];
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if(ptr) {
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delete ptr;
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fElasticData[j][k] = nullptr;
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for(G4int l = j+1; l < NHADRONS; ++l) {
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if(ptr == fElasticData[l][k]) { fElasticData[l][k] = nullptr; }
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}
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}
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}
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}
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delete fDirectory;
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fDirectory = nullptr;
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}
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}
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///////////////////////////////////////////////////////////////////
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void G4ElasticHadrNucleusHE::InitialiseModel()
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{
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if(!isMaster) { return; }
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G4ProductionCutsTable* theCoupleTable=
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G4ProductionCutsTable::GetProductionCutsTable();
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G4int numOfCouples = (G4int)theCoupleTable->GetTableSize();
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for(G4int i=0; i<2; ++i) {
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const G4ParticleDefinition* p = G4PionPlus::PionPlus();
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if(1 == i) { p = G4PionMinus::PionMinus(); }
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iHadrCode = fHadronCode[i];
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iHadron = fHadronType[i];
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iHadron1 = fHadronType1[i];
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hMass = p->GetPDGMass()*invGeV;
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hMass2 = hMass*hMass;
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for(G4int j=0; j<numOfCouples; ++j) {
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auto mat = theCoupleTable->GetMaterialCutsCouple(j)->GetMaterial();
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auto elmVec = mat->GetElementVector();
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std::size_t numOfElem = mat->GetNumberOfElements();
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for(std::size_t k=0; k<numOfElem; ++k) {
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G4int Z = std::min((*elmVec)[k]->GetZasInt(), ZMAX-1);
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if(!fElasticData[i][Z]) {
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if(1 == i && Z > 1) {
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fElasticData[1][Z] = fElasticData[0][Z];
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} else {
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FillData(p, i, Z);
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}
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}
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}
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}
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}
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}
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////////////////////////////////////////////////////////////////////
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G4double
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G4ElasticHadrNucleusHE::SampleInvariantT(const G4ParticleDefinition* p,
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G4double inLabMom,
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G4int iZ, G4int A)
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{
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G4double mass = p->GetPDGMass();
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G4double kine = sqrt(inLabMom*inLabMom + mass*mass) - mass;
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if(kine <= ekinLowLimit) {
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return G4HadronElastic::SampleInvariantT(p,inLabMom,iZ,A);
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}
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G4int Z = std::min(iZ,ZMAX-1);
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G4double Q2 = 0.0;
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iHadrCode = p->GetPDGEncoding();
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// below computations in GeV/c
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hMass = mass*invGeV;
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hMass2 = hMass*hMass;
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G4double plab = inLabMom*invGeV;
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G4double tmax = pLocalTmax*invGeV2;
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if(verboseLevel > 1) {
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G4cout<< "G4ElasticHadrNucleusHE::SampleT: "
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<< " for " << p->GetParticleName()
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<< " at Z= " << Z << " A= " << A
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<< " plab(GeV)= " << plab
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<< " hadrCode= " << iHadrCode
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<< G4endl;
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}
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iHadron = -1;
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G4int idx;
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for(idx=0; idx<NHADRONS; ++idx) {
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if(iHadrCode == fHadronCode[idx]) {
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iHadron = fHadronType[idx];
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iHadron1 = fHadronType1[idx];
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break;
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}
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}
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// Hadron is not in the list
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if(0 > iHadron) { return 0.0; }
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if(Z==1) {
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Q2 = HadronProtonQ2(plab, tmax);
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if (verboseLevel>1) {
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G4cout<<" Proton : Q2 "<<Q2<<G4endl;
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}
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} else {
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const G4ElasticData* ElD1 = fElasticData[idx][Z];
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// Construct elastic data
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if(!ElD1) {
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FillData(p, idx, Z);
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ElD1 = fElasticData[idx][Z];
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if(!ElD1) { return 0.0; }
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}
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// sample scattering
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Q2 = HadronNucleusQ2_2(ElD1, plab, tmax);
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if(verboseLevel > 1) {
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G4cout<<" SampleT: Q2(GeV^2)= "<<Q2<< " t/tmax= "
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<< Q2/tmax <<G4endl;
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}
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}
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return Q2*GeV2;
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}
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////////////////////////////////////////////////////////////////
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void G4ElasticHadrNucleusHE::FillData(const G4ParticleDefinition* p,
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G4int idx, G4int Z)
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{
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#ifdef G4MULTITHREADED
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G4MUTEXLOCK(&elasticMutex);
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if(!fElasticData[idx][Z]) {
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#endif
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G4int A = G4lrint(nistManager->GetAtomicMassAmu(Z));
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G4ElasticData* pElD = new G4ElasticData(p, Z, A, fEnergy);
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if(fRetrieveFromFile) {
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std::ostringstream ss;
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InFileName(ss, p, Z);
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std::ifstream infile(ss.str(), std::ios::in);
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for(G4int i=0; i<NENERGY; ++i) {
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if(ReadLine(infile, pElD->fCumProb[i])) {
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continue;
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} else {
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fRetrieveFromFile = false;
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break;
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}
|
|
}
|
|
infile.close();
|
|
}
|
|
R1 = pElD->R1;
|
|
R2 = pElD->R2;
|
|
Aeff = pElD->Aeff;
|
|
Pnucl = pElD->Pnucl;
|
|
dQ2 = pElD->dQ2;
|
|
if(verboseLevel > 0) {
|
|
G4cout<<"### FillData for " << p->GetParticleName()
|
|
<< " Z= " << Z << " idx= " << idx << " iHadron= " << iHadron
|
|
<<" iHadron1= " << iHadron1 << " iHadrCode= " << iHadrCode
|
|
<<"\n R1= " << R1 << " R2= " << R2 << " Aeff= " << Aeff
|
|
<<" Pnucl= " << Pnucl << G4endl;
|
|
}
|
|
|
|
if(!fRetrieveFromFile) {
|
|
for(G4int i=0; i<NENERGY; ++i) {
|
|
G4double T = fEnergy[i];
|
|
hLabMomentum2 = T*(T + 2.*hMass);
|
|
hLabMomentum = std::sqrt(hLabMomentum2);
|
|
HadrEnergy = hMass + T;
|
|
DefineHadronValues(Z);
|
|
Q2max = pElD->maxQ2[i];
|
|
|
|
G4int length = FillFq2(A);
|
|
(pElD->fCumProb[i]).reserve(length);
|
|
G4double norm = 1.0/fLineF[length-1];
|
|
|
|
if(verboseLevel > 0) {
|
|
G4cout << "### i= " << i << " Z= " << Z << " A= " << A
|
|
<< " length= " << length << " Q2max= " << Q2max << G4endl;
|
|
}
|
|
|
|
(pElD->fCumProb[i]).push_back(0.0);
|
|
for(G4int ii=1; ii<length-1; ++ii) {
|
|
(pElD->fCumProb[i]).push_back(fLineF[ii]*norm);
|
|
if(verboseLevel > 2) {
|
|
G4cout << " ii= " << ii << " val= "
|
|
<< (pElD->fCumProb[i])[ii] << G4endl;
|
|
}
|
|
}
|
|
(pElD->fCumProb[i]).push_back(1.0);
|
|
}
|
|
}
|
|
|
|
if(fStoreToFile) {
|
|
std::ostringstream ss;
|
|
OutFileName(ss, p, Z);
|
|
std::ofstream fileout(ss.str());
|
|
for(G4int i=0; i<NENERGY; ++i) {
|
|
WriteLine(fileout, pElD->fCumProb[i]);
|
|
}
|
|
fileout.close();
|
|
}
|
|
|
|
if(verboseLevel > 0) {
|
|
G4cout << " G4ElasticHadrNucleusHE::FillData done for idx= " << idx
|
|
<< " for " << p->GetParticleName() << " Z= " << Z
|
|
<< " A= " << A << G4endl;
|
|
}
|
|
fElasticData[idx][Z] = pElD;
|
|
|
|
#ifdef G4MULTITHREADED
|
|
}
|
|
G4MUTEXUNLOCK(&elasticMutex);
|
|
#endif
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////
|
|
|
|
void G4ElasticHadrNucleusHE::InterpolateHN(G4int n, const G4double EnP[],
|
|
const G4double C0P[], const G4double C1P[],
|
|
const G4double B0P[], const G4double B1P[])
|
|
{
|
|
G4int i;
|
|
|
|
for(i=1; i<n; ++i) { if(hLabMomentum <= EnP[i]) { break; } }
|
|
if(i == n) { i = n - 1; }
|
|
|
|
Coeff0 = LineInterpol(EnP[i], EnP[i-1], C0P[i], C0P[i-1], hLabMomentum);
|
|
Coeff1 = LineInterpol(EnP[i], EnP[i-1], C1P[i], C1P[i-1], hLabMomentum);
|
|
Slope0 = LineInterpol(EnP[i], EnP[i-1], B0P[i], B0P[i-1], hLabMomentum);
|
|
Slope1 = LineInterpol(EnP[i], EnP[i-1], B1P[i], B1P[i-1], hLabMomentum);
|
|
|
|
// G4cout<<" InterpolHN: n i "<<n<<" "<<i<<" Mom "
|
|
// <<hLabMomentum<<G4endl;
|
|
}
|
|
|
|
//////////////////////////////////////////////////////////////////////////
|
|
|
|
G4double
|
|
G4ElasticHadrNucleusHE::HadronNucleusQ2_2(const G4ElasticData* pElD,
|
|
G4double plab, G4double tmax)
|
|
{
|
|
G4double ekin = std::sqrt(hMass2 + plab*plab) - hMass;
|
|
|
|
if(verboseLevel > 1) {
|
|
G4cout<<"Q2_2: ekin(GeV)= " << ekin << " plab(GeV/c)= " << plab
|
|
<<" tmax(GeV2)= " << tmax <<G4endl;
|
|
}
|
|
// Find closest energy bin
|
|
G4int idx;
|
|
for(idx=0; idx<NENERGY-1; ++idx) {
|
|
if(ekin <= fLowEdgeEnergy[idx+1]) { break; }
|
|
}
|
|
//G4cout << " idx= " << idx << G4endl;
|
|
|
|
// Select kinematics for node energy
|
|
R1 = pElD->R1;
|
|
dQ2 = pElD->dQ2;
|
|
Q2max = pElD->maxQ2[idx];
|
|
G4int length = (G4int)(pElD->fCumProb[idx]).size();
|
|
|
|
G4double Rand = G4UniformRand();
|
|
|
|
G4int iNumbQ2 = 0;
|
|
for(iNumbQ2=1; iNumbQ2<length; ++iNumbQ2) {
|
|
if(Rand <= (pElD->fCumProb[idx])[iNumbQ2]) { break; }
|
|
}
|
|
iNumbQ2 = std::min(iNumbQ2, length - 1);
|
|
G4double Q2 = GetQ2_2(iNumbQ2, length, pElD->fCumProb[idx], Rand);
|
|
Q2 = std::min(Q2, Q2max);
|
|
Q2 *= tmax/Q2max;
|
|
|
|
if(verboseLevel > 1) {
|
|
G4cout<<" HadrNucleusQ2_2(2): Q2= "<<Q2<<" iNumbQ2= " << iNumbQ2
|
|
<< " rand= " << Rand << " Q2max= " << Q2max
|
|
<< " tmax= " << tmax << G4endl;
|
|
}
|
|
return Q2;
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////////
|
|
//
|
|
// The randomization of one dimensional array
|
|
//
|
|
|
|
G4double G4ElasticHadrNucleusHE::GetQ2_2(G4int kk, G4int kmax,
|
|
const std::vector<G4double>& F,
|
|
G4double ranUni)
|
|
{
|
|
//G4cout << "GetQ2_2 kk= " << kk << " kmax= " << kmax << " size= "
|
|
// << F.size() << " rand= " << ranUni << G4endl;
|
|
if(kk == kmax-1) {
|
|
G4double X1 = dQ2*kk;
|
|
G4double F1 = F[kk-1];
|
|
G4double X2 = Q2max;
|
|
G4double xx = R1*(X2 - X1);
|
|
xx = (xx > 20.) ? 0.0 : G4Exp(-xx);
|
|
G4double Y = X1 - G4Log(1.0 - (ranUni - F1)*(1.0 - xx)/(1.0 - F1))/R1;
|
|
return Y;
|
|
}
|
|
G4double F1, F2, F3, X1, X2, X3;
|
|
|
|
if(kk == 1 || kk == 0) {
|
|
F1 = F[0];
|
|
F2 = F[1];
|
|
F3 = F[2];
|
|
X1 = 0.0;
|
|
X2 = dQ2;
|
|
X3 = dQ2*2;
|
|
} else {
|
|
F1 = F[kk-2];
|
|
F2 = F[kk-1];
|
|
F3 = F[kk];
|
|
X1 = dQ2*(kk-2);
|
|
X2 = dQ2*(kk-1);
|
|
X3 = dQ2*kk;
|
|
}
|
|
if(verboseLevel > 1) {
|
|
G4cout << "GetQ2_2 kk= " << kk << " X2= " << X2 << " X3= " << X3
|
|
<< " F2= " << F2 << " F3= " << F3 << " Rndm= " << ranUni << G4endl;
|
|
}
|
|
|
|
G4double F12 = F1*F1;
|
|
G4double F22 = F2*F2;
|
|
G4double F32 = F3*F3;
|
|
|
|
G4double D0 = F12*F2+F1*F32+F3*F22-F32*F2-F22*F1-F12*F3;
|
|
|
|
if(verboseLevel > 2) {
|
|
G4cout << " X1= " << X1 << " F1= " << F1 << " D0= "
|
|
<< D0 << G4endl;
|
|
}
|
|
G4double Y;
|
|
if(std::abs(D0) < 1.e-9) {
|
|
Y = X2 + (ranUni - F2)*(X3 - X2)/(F3 - F2);
|
|
} else {
|
|
G4double DA = X1*F2+X3*F1+X2*F3-X3*F2-X1*F3-X2*F1;
|
|
G4double DB = X2*F12+X1*F32+X3*F22-X2*F32-X3*F12-X1*F22;
|
|
G4double DC = X3*F2*F12+X2*F1*F32+X1*F3*F22
|
|
-X1*F2*F32-X2*F3*F12-X3*F1*F22;
|
|
Y = (DA*ranUni*ranUni + DB*ranUni + DC)/D0;
|
|
}
|
|
return Y;
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////////
|
|
|
|
G4int G4ElasticHadrNucleusHE::FillFq2(G4int A)
|
|
{
|
|
G4double curQ2, curSec;
|
|
G4double curSum = 0.0;
|
|
G4double totSum = 0.0;
|
|
|
|
G4double ddQ2 = dQ2*0.1;
|
|
G4double Q2l = 0.0;
|
|
|
|
G4int ii = 0;
|
|
for(ii=1; ii<ONQ2-1; ++ii) {
|
|
curSum = curSec = 0.0;
|
|
|
|
for(G4int jj=0; jj<10; ++jj) {
|
|
curQ2 = Q2l+(jj + 0.5)*ddQ2;
|
|
if(curQ2 >= Q2max) { break; }
|
|
curSec = HadrNucDifferCrSec(A, curQ2);
|
|
curSum += curSec;
|
|
}
|
|
G4double del = (curQ2 >= Q2max) ? Q2max - Q2l : dQ2;
|
|
Q2l += del;
|
|
curSum *= del*0.1;
|
|
totSum += curSum;
|
|
fLineF[ii] = totSum;
|
|
if (verboseLevel>2) {
|
|
G4cout<<ii << ". FillFq2: A= " << A << " Q2= "<<Q2l<<" dQ2= "
|
|
<<dQ2<<" Tot= "<<totSum << " dTot " <<curSum
|
|
<<" curSec= " <<curSec<<G4endl;
|
|
}
|
|
if(totSum*1.e-4 > curSum || Q2l >= Q2max) { break; }
|
|
}
|
|
ii = std::min(ii, ONQ2-2);
|
|
curQ2 = Q2l;
|
|
G4double xx = R1*(Q2max - curQ2);
|
|
if(xx > 0.0) {
|
|
xx = (xx > 20.) ? 0.0 : G4Exp(-xx);
|
|
curSec = HadrNucDifferCrSec(A, curQ2);
|
|
totSum += curSec*(1.0 - xx)/R1;
|
|
}
|
|
fLineF[ii + 1] = totSum;
|
|
if (verboseLevel>1) {
|
|
G4cout << "### FillFq2 done curQ2= " << curQ2 << " Q2max= "<< Q2max
|
|
<< " sumG= " << fLineF[ONQ2-2] << " totSum= " << totSum
|
|
<< " Nbins= " << ii + 1 << G4endl;
|
|
}
|
|
return ii + 2;
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////////
|
|
|
|
G4double G4ElasticHadrNucleusHE::GetLightFq2(G4int Z, G4int A, G4double Q2)
|
|
{
|
|
// Scattering off proton
|
|
if(Z == 1)
|
|
{
|
|
G4double SqrQ2 = std::sqrt(Q2);
|
|
G4double valueConstU = 2.*(hMass2 + protonM2) - Q2;
|
|
|
|
G4double y = (1.-Coeff1-Coeff0)/HadrSlope*(1.-G4Exp(-HadrSlope*Q2))
|
|
+ Coeff0*(1.-G4Exp(-Slope0*Q2))
|
|
+ Coeff2/Slope2*G4Exp(Slope2*valueConstU)*(G4Exp(Slope2*Q2)-1.)
|
|
+ 2.*Coeff1/Slope1*(1./Slope1-(1./Slope1+SqrQ2)*G4Exp(-Slope1*SqrQ2));
|
|
|
|
return y;
|
|
}
|
|
|
|
// The preparing of probability function
|
|
|
|
G4double prec = A > 208 ? 1.0e-7 : 1.0e-6;
|
|
|
|
G4double Stot = HadrTot*MbToGeV2; // Gev^-2
|
|
G4double Bhad = HadrSlope; // GeV^-2
|
|
G4double Asq = 1+HadrReIm*HadrReIm;
|
|
G4double Rho2 = std::sqrt(Asq);
|
|
|
|
if(verboseLevel >1) {
|
|
G4cout<<" Fq2 Before for i Tot B Im "<<HadrTot<<" "<<HadrSlope<<" "
|
|
<<HadrReIm<<G4endl;
|
|
}
|
|
if(verboseLevel > 1) {
|
|
G4cout << "GetFq2: Stot= " << Stot << " Bhad= " << Bhad
|
|
<<" Im "<<HadrReIm
|
|
<< " Asq= " << Asq << G4endl;
|
|
G4cout << "R1= " << R1 << " R2= " << R2 << " Pnucl= " << Pnucl <<G4endl;
|
|
}
|
|
G4double R12 = R1*R1;
|
|
G4double R22 = R2*R2;
|
|
G4double R12B = R12+2*Bhad;
|
|
G4double R22B = R22+2*Bhad;
|
|
|
|
G4double Norm = (R12*R1-Pnucl*R22*R2); // HP->Aeff;
|
|
|
|
G4double R13 = R12*R1/R12B;
|
|
G4double R23 = Pnucl*R22*R2/R22B;
|
|
G4double Unucl = Stot/twopi*R13/Norm;
|
|
G4double UnucRho2 = -Unucl*Rho2;
|
|
|
|
G4double FiH = std::asin(HadrReIm/Rho2);
|
|
G4double NN2 = R23/R13;
|
|
|
|
if(verboseLevel > 2) {
|
|
G4cout << "UnucRho2= " << UnucRho2 << " FiH= " << FiH << " NN2= " << NN2
|
|
<< " Norm= " << Norm << G4endl;
|
|
}
|
|
G4double Prod0 = 0.;
|
|
G4double N1 = -1.0;
|
|
|
|
for(G4int i1 = 1; i1<= A; ++i1) ////++++++++++ i1
|
|
{
|
|
N1 *= (-Unucl*Rho2*(A-i1+1)/(G4double)i1);
|
|
G4double Prod1 = 0.;
|
|
G4double N2 = -1.;
|
|
|
|
for(G4int i2 = 1; i2<=A; ++i2) ////+++++++++ i2
|
|
{
|
|
N2 *= (-Unucl*Rho2*(A-i2+1)/(G4double)i2);
|
|
G4double Prod2 = 0;
|
|
G4double N5 = -1/NN2;
|
|
for(G4int j2=0; j2<= i2; ++j2) ////+++++++++ j2
|
|
{
|
|
G4double Prod3 = 0;
|
|
G4double exp2 = 1./((G4double)j2/R22B+(G4double)(i2-j2)/R12B);
|
|
N5 *= (-NN2);
|
|
G4double N4 = -1./NN2;
|
|
for(G4int j1=0; j1<=i1; ++j1) ////++++++++ j1
|
|
{
|
|
G4double exp1 = 1./((G4double)j1/R22B+(G4double)(i1-j1)/R12B);
|
|
G4double dddd = 0.25*(exp1+exp2);
|
|
N4 *= (-NN2);
|
|
Prod3 +=
|
|
N4*exp1*exp2*(1.-G4Exp(-Q2*dddd))*GetBinomCof(i1,j1)/dddd;
|
|
} // j1
|
|
Prod2 += Prod3*N5*GetBinomCof(i2,j2);
|
|
} // j2
|
|
Prod1 += Prod2*N2*std::cos(FiH*(i1-i2));
|
|
|
|
if (std::abs(Prod2*N2/Prod1)<prec) break;
|
|
} // i2
|
|
Prod0 += Prod1*N1;
|
|
if(std::abs(N1*Prod1/Prod0) < prec) break;
|
|
} // i1
|
|
|
|
const G4double fact = 0.25*CLHEP::pi/MbToGeV2;
|
|
Prod0 *= fact; // This is in mb
|
|
|
|
if(verboseLevel>1) {
|
|
G4cout << "GetLightFq2 Z= " << Z << " A= " << A
|
|
<<" Q2= " << Q2 << " Res= " << Prod0 << G4endl;
|
|
}
|
|
return Prod0;
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////
|
|
|
|
G4double
|
|
G4ElasticHadrNucleusHE::HadrNucDifferCrSec(G4int A, G4double aQ2)
|
|
{
|
|
// ------ All external kinematical variables are in MeV -------
|
|
// ------ but internal in GeV !!!! ------
|
|
|
|
// Scattering of proton
|
|
if(A == 1)
|
|
{
|
|
G4double SqrQ2 = std::sqrt(aQ2);
|
|
G4double valueConstU = hMass2 + protonM2-2*protonM*HadrEnergy - aQ2;
|
|
|
|
BoundaryTL[0] = Q2max;
|
|
BoundaryTL[1] = Q2max;
|
|
BoundaryTL[3] = Q2max;
|
|
BoundaryTL[4] = Q2max;
|
|
BoundaryTL[5] = Q2max;
|
|
|
|
G4double dSigPodT = HadrTot*HadrTot*(1+HadrReIm*HadrReIm)*
|
|
( Coeff1*G4Exp(-Slope1*SqrQ2)+
|
|
Coeff2*G4Exp( Slope2*(valueConstU)+aQ2)+
|
|
(1-Coeff1-Coeff0)*G4Exp(-HadrSlope*aQ2)+
|
|
Coeff0*G4Exp(-Slope0*aQ2) )*2.568/(16*pi);
|
|
|
|
return dSigPodT;
|
|
}
|
|
|
|
G4double Stot = HadrTot*MbToGeV2;
|
|
G4double Bhad = HadrSlope;
|
|
G4double Asq = 1+HadrReIm*HadrReIm;
|
|
G4double Rho2 = std::sqrt(Asq);
|
|
G4double R12 = R1*R1;
|
|
G4double R22 = R2*R2;
|
|
G4double R12B = R12+2*Bhad;
|
|
G4double R22B = R22+2*Bhad;
|
|
G4double R12Ap = R12+20;
|
|
G4double R22Ap = R22+20;
|
|
G4double R13Ap = R12*R1/R12Ap;
|
|
G4double R23Ap = R22*R2*Pnucl/R22Ap;
|
|
G4double R23dR13 = R23Ap/R13Ap;
|
|
G4double R12Apd = 2/R12Ap;
|
|
G4double R22Apd = 2/R22Ap;
|
|
G4double R12ApdR22Ap = 0.5*(R12Apd+R22Apd);
|
|
|
|
G4double DDSec1p = (DDSect2+DDSect3*G4Log(0.53*HadrEnergy/R1));
|
|
G4double DDSec2p = (DDSect2+DDSect3*G4Log(0.53*HadrEnergy/
|
|
std::sqrt((R12+R22)*0.5)));
|
|
G4double DDSec3p = (DDSect2+DDSect3*G4Log(0.53*HadrEnergy/R2));
|
|
|
|
G4double Norm = (R12*R1-Pnucl*R22*R2)*Aeff;
|
|
G4double R13 = R12*R1/R12B;
|
|
G4double R23 = Pnucl*R22*R2/R22B;
|
|
G4double Unucl = Stot/(twopi*Norm)*R13;
|
|
G4double UnuclScr = Stot/(twopi*Norm)*R13Ap;
|
|
G4double SinFi = HadrReIm/Rho2;
|
|
G4double FiH = std::asin(SinFi);
|
|
G4double N = -1;
|
|
G4double N2 = R23/R13;
|
|
|
|
G4double ImElasticAmpl0 = 0;
|
|
G4double ReElasticAmpl0 = 0;
|
|
G4double exp1;
|
|
|
|
for(G4int i=1; i<=A; ++i) {
|
|
N *= (-Unucl*Rho2*(A-i+1)/(G4double)i);
|
|
G4double N4 = 1;
|
|
G4double medTot = R12B/(G4double)i;
|
|
G4double Prod1 = G4Exp(-aQ2*R12B/(G4double)(4*i))*medTot;
|
|
|
|
for(G4int l=1; l<=i; ++l) {
|
|
exp1 = l/R22B+(i-l)/R12B;
|
|
N4 *= (-N2*(i-l+1)/(G4double)l);
|
|
G4double expn4 = N4/exp1;
|
|
Prod1 += expn4*G4Exp(-aQ2/(exp1*4));
|
|
medTot += expn4;
|
|
} // end l
|
|
|
|
G4double dcos = N*std::cos(FiH*i);
|
|
ReElasticAmpl0 += Prod1*N*std::sin(FiH*i);
|
|
ImElasticAmpl0 += Prod1*dcos;
|
|
if(std::abs(Prod1*N/ImElasticAmpl0) < 0.000001) break;
|
|
} // i
|
|
|
|
static const G4double pi25 = CLHEP::pi/2.568;
|
|
ImElasticAmpl0 *= pi25; // The amplitude in mB
|
|
ReElasticAmpl0 *= pi25; // The amplitude in mB
|
|
|
|
G4double C1 = R13Ap*R13Ap*0.5*DDSec1p;
|
|
G4double C2 = 2*R23Ap*R13Ap*0.5*DDSec2p;
|
|
G4double C3 = R23Ap*R23Ap*0.5*DDSec3p;
|
|
|
|
G4double N1p = 1;
|
|
G4double Din1 = 0.5*(C1*G4Exp(-aQ2/8*R12Ap)/2*R12Ap-
|
|
C2/R12ApdR22Ap*G4Exp(-aQ2/(4*R12ApdR22Ap))+
|
|
C3*R22Ap/2*G4Exp(-aQ2/8*R22Ap));
|
|
|
|
G4double DTot1 = 0.5*(C1*0.5*R12Ap-C2/R12ApdR22Ap+C3*R22Ap*0.5);
|
|
|
|
for(G4int i=1; i<= A-2; ++i) {
|
|
N1p *= (-UnuclScr*Rho2*(A-i-1)/(G4double)i);
|
|
G4double N2p = 1;
|
|
G4double Din2 = 0;
|
|
G4double DmedTot = 0;
|
|
G4double BinCoeff = 1.0;
|
|
for(G4int l=0; l<=i; ++l) {
|
|
if(l > 0) { BinCoeff *= (i-l+1)/(G4double)l; }
|
|
|
|
exp1 = l/R22B+(i-l)/R12B;
|
|
G4double exp1p = exp1+R12Apd;
|
|
G4double exp2p = exp1+R12ApdR22Ap;
|
|
G4double exp3p = exp1+R22Apd;
|
|
|
|
Din2 += N2p*BinCoeff*(C1/exp1p*G4Exp(-aQ2/(4*exp1p))-
|
|
C2/exp2p*G4Exp(-aQ2/(4*exp2p))+
|
|
C3/exp3p*G4Exp(-aQ2/(4*exp3p)));
|
|
|
|
DmedTot += N2p*BinCoeff*(C1/exp1p-C2/exp2p+C3/exp3p);
|
|
|
|
N2p *= -R23dR13;
|
|
} // l
|
|
|
|
G4double dcos = N1p*std::cos(FiH*i)/(G4double)((i+2)*(i+1));
|
|
Din1 += Din2*dcos;
|
|
DTot1 += DmedTot*dcos;
|
|
|
|
if(std::abs(Din2*N1p/Din1) < 0.000001) break;
|
|
} // i
|
|
G4double gg = (G4double)(A*(A-1)*4)/(Norm*Norm);
|
|
|
|
Din1 *= (-gg);
|
|
DTot1 *= 5*gg;
|
|
|
|
// ---------------- dSigma/d|-t|, mb/(GeV/c)^-2 -----------------
|
|
|
|
G4double DiffCrSec2 = (ReElasticAmpl0*ReElasticAmpl0+
|
|
(ImElasticAmpl0+Din1)*
|
|
(ImElasticAmpl0+Din1))/twopi;
|
|
|
|
Dtot11 = DTot1;
|
|
aAIm = ImElasticAmpl0;
|
|
aDIm = Din1;
|
|
|
|
return DiffCrSec2; // dSig/d|-t|, mb/(GeV/c)^-2
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////
|
|
|
|
void G4ElasticHadrNucleusHE::DefineHadronValues(G4int Z)
|
|
{
|
|
G4double sHadr = 2.*HadrEnergy*protonM+protonM2+hMass2;
|
|
G4double sqrS = std::sqrt(sHadr);
|
|
|
|
if(verboseLevel>2) {
|
|
G4cout << "GetHadrValues: Z= " << Z << " iHadr= " << iHadron
|
|
<< " E(GeV)= " << HadrEnergy << " sqrS= " << sqrS
|
|
<< " plab= " << hLabMomentum
|
|
<<" E - m "<<HadrEnergy - hMass<< G4endl;
|
|
}
|
|
G4double TotN = 0.0;
|
|
G4double logE = G4Log(HadrEnergy);
|
|
G4double logS = G4Log(sHadr);
|
|
TotP = 0.0;
|
|
|
|
switch (iHadron) {
|
|
case 0: // proton, neutron
|
|
case 6:
|
|
|
|
if(hLabMomentum > 10) {
|
|
TotP = TotN = 7.5*logE - 40.12525 + 103*G4Exp(-logS*0.165);// mb
|
|
|
|
} else {
|
|
// ================== neutron ================
|
|
|
|
if( hLabMomentum > 1.4 ) {
|
|
TotN = 33.3+15.2*(hLabMomentum2-1.35)/
|
|
(G4Exp(G4Log(hLabMomentum)*2.37)+0.95);
|
|
|
|
} else if(hLabMomentum > 0.8) {
|
|
G4double A0 = logE + 0.0513;
|
|
TotN = 33.0 + 25.5*A0*A0;
|
|
} else {
|
|
G4double A0 = logE - 0.2634; // log(1.3)
|
|
TotN = 33.0 + 30.*A0*A0*A0*A0;
|
|
}
|
|
// ================= proton ===============
|
|
|
|
if(hLabMomentum >= 1.05) {
|
|
TotP = 39.0+75.*(hLabMomentum-1.2)/(hLabMomentum2*hLabMomentum+0.15);
|
|
} else if(hLabMomentum >= 0.7) {
|
|
G4double A0 = logE + 0.3147;
|
|
TotP = 23.0 + 40.*A0*A0;
|
|
} else {
|
|
TotP = 23.+50.*G4Exp(G4Log(G4Log(0.73/hLabMomentum))*3.5);
|
|
}
|
|
}
|
|
HadrTot = 0.5*(TotP+TotN);
|
|
// ...................................................
|
|
// Proton slope
|
|
if(hLabMomentum >= 2.) { HadrSlope = 5.44 + 0.88*logS; }
|
|
else if(hLabMomentum >= 0.5) { HadrSlope = 3.73*hLabMomentum-0.37; }
|
|
else { HadrSlope = 1.5; }
|
|
|
|
// ...................................................
|
|
if(hLabMomentum >= 1.2) {
|
|
HadrReIm = 0.13*(logS - 5.8579332)*G4Exp(-logS*0.18);
|
|
} else if(hLabMomentum >= 0.6) {
|
|
HadrReIm = -75.5*(G4Exp(G4Log(hLabMomentum)*0.25)-0.95)/
|
|
(G4Exp(G4Log(3*hLabMomentum)*2.2)+1);
|
|
} else {
|
|
HadrReIm = 15.5*hLabMomentum/(27*hLabMomentum2*hLabMomentum+2);
|
|
}
|
|
// ...................................................
|
|
DDSect2 = 2.2; //mb*GeV-2
|
|
DDSect3 = 0.6; //mb*GeV-2
|
|
// ================== lambda ==================
|
|
if( iHadrCode == 3122) {
|
|
HadrTot *= 0.88;
|
|
HadrSlope *=0.85;
|
|
// ================== sigma + ==================
|
|
} else if( iHadrCode == 3222) {
|
|
HadrTot *=0.81;
|
|
HadrSlope *=0.85;
|
|
// ================== sigma 0,- ==================
|
|
} else if(iHadrCode == 3112 || iHadrCode == 3212 ) {
|
|
HadrTot *=0.88;
|
|
HadrSlope *=0.85;
|
|
// =================== xi =================
|
|
} else if( iHadrCode == 3312 || iHadrCode == 3322 ) {
|
|
HadrTot *=0.77;
|
|
HadrSlope *=0.75;
|
|
// ================= omega =================
|
|
} else if( iHadrCode == 3334) {
|
|
HadrTot *=0.78;
|
|
HadrSlope *=0.7;
|
|
}
|
|
break;
|
|
// ===========================================================
|
|
case 1: // antiproton
|
|
case 7: // antineutron
|
|
|
|
HadrTot = 5.2+5.2*logE + 123.2/sqrS; // mb
|
|
HadrSlope = 8.32+0.57*logS; //(GeV/c)^-2
|
|
|
|
if( HadrEnergy < 1000 ) {
|
|
HadrReIm = 0.06*(sqrS-2.236)*(sqrS-14.14)*G4Exp(-logS*0.8);
|
|
} else {
|
|
HadrReIm = 0.6*(logS - 5.8579332)*G4Exp(-logS*0.25);
|
|
}
|
|
DDSect2 = 11; //mb*(GeV/c)^-2
|
|
DDSect3 = 3; //mb*(GeV/c)^-2
|
|
// ================== lambda ==================
|
|
if( iHadrCode == -3122) {
|
|
HadrTot *= 0.88;
|
|
HadrSlope *=0.85;
|
|
// ================== sigma + ==================
|
|
} else if( iHadrCode == -3222) {
|
|
HadrTot *=0.81;
|
|
HadrSlope *=0.85;
|
|
// ================== sigma 0,- ==================
|
|
} else if(iHadrCode == -3112 || iHadrCode == -3212 ) {
|
|
HadrTot *=0.88;
|
|
HadrSlope *=0.85;
|
|
// =================== xi =================
|
|
} else if( iHadrCode == -3312 || iHadrCode == -3322 ) {
|
|
HadrTot *=0.77;
|
|
HadrSlope *=0.75;
|
|
// ================= omega =================
|
|
} else if( iHadrCode == -3334) {
|
|
HadrTot *=0.78;
|
|
HadrSlope *=0.7;
|
|
}
|
|
break;
|
|
// -------------------------------------------
|
|
case 2: // pi plus, pi minus
|
|
case 3:
|
|
|
|
if(hLabMomentum >= 3.5) {
|
|
TotP = 10.6+2.*logE + 25.*G4Exp(-logE*0.43); // mb
|
|
// =========================================
|
|
} else if(hLabMomentum >= 1.15) {
|
|
G4double x = (hLabMomentum - 2.55)/0.55;
|
|
G4double y = (hLabMomentum - 1.47)/0.225;
|
|
TotP = 3.2*G4Exp(-x*x) + 12.*G4Exp(-y*y) + 27.5;
|
|
// =========================================
|
|
} else if(hLabMomentum >= 0.4) {
|
|
TotP = 88*(logE+0.2877)*(logE+0.2877)+14.0;
|
|
// =========================================
|
|
} else {
|
|
G4double x = (hLabMomentum - 0.29)/0.085;
|
|
TotP = 20. + 180.*G4Exp(-x*x);
|
|
}
|
|
// -------------------------------------------
|
|
|
|
if(hLabMomentum >= 3.0 ) {
|
|
TotN = 10.6 + 2.*logE + 30.*G4Exp(-logE*0.43); // mb
|
|
} else if(hLabMomentum >= 1.3) {
|
|
G4double x = (hLabMomentum - 2.1)/0.4;
|
|
G4double y = (hLabMomentum - 1.4)/0.12;
|
|
TotN = 36.1+0.079 - 4.313*logE + 3.*G4Exp(-x*x) + 1.5*G4Exp(-y*y);
|
|
} else if(hLabMomentum >= 0.65) {
|
|
G4double x = (hLabMomentum - 0.72)/0.06;
|
|
G4double y = (hLabMomentum - 1.015)/0.075;
|
|
TotN = 36.1 + 10.*G4Exp(-x*x) + 24*G4Exp(-y*y);
|
|
} else if(hLabMomentum >= 0.37) {
|
|
G4double x = G4Log(hLabMomentum/0.48);
|
|
TotN = 26. + 110.*x*x;
|
|
} else {
|
|
G4double x = (hLabMomentum - 0.29)/0.07;
|
|
TotN = 28.0 + 40.*G4Exp(-x*x);
|
|
}
|
|
HadrTot = (TotP+TotN)*0.5;
|
|
// ........................................
|
|
HadrSlope = 7.28+0.245*logS; // GeV-2
|
|
HadrReIm = 0.2*(logS - 4.6051702)*G4Exp(-logS*0.15);
|
|
|
|
DDSect2 = 0.7; //mb*GeV-2
|
|
DDSect3 = 0.27; //mb*GeV-2
|
|
|
|
break;
|
|
// ==========================================================
|
|
case 4: // K plus
|
|
|
|
HadrTot = 10.6+1.8*logE + 9.0*G4Exp(-logE*0.55); // mb
|
|
if(HadrEnergy>100) { HadrSlope = 15.0; }
|
|
else { HadrSlope = 1.0+1.76*logS - 2.84/sqrS; } // GeV-2
|
|
|
|
HadrReIm = 0.4*(sHadr-20)*(sHadr-150)*G4Exp(-G4Log(sHadr+50)*2.1);
|
|
DDSect2 = 0.7; //mb*GeV-2
|
|
DDSect3 = 0.21; //mb*GeV-2
|
|
break;
|
|
// =========================================================
|
|
case 5: // K minus
|
|
|
|
HadrTot = 10+1.8*logE + 25./sqrS; // mb
|
|
HadrSlope = 6.98+0.127*logS; // GeV-2
|
|
HadrReIm = 0.4*(sHadr-20)*(sHadr-20)*G4Exp(-G4Log(sHadr+50)*2.1);
|
|
DDSect2 = 0.7; //mb*GeV-2
|
|
DDSect3 = 0.27; //mb*GeV-2
|
|
break;
|
|
}
|
|
// =========================================================
|
|
if(verboseLevel>2) {
|
|
G4cout << "HadrTot= " << HadrTot << " HadrSlope= " << HadrSlope
|
|
<< " HadrReIm= " << HadrReIm << " DDSect2= " << DDSect2
|
|
<< " DDSect3= " << DDSect3 << G4endl;
|
|
}
|
|
if(Z != 1) return;
|
|
|
|
// Scattering of protons
|
|
|
|
Coeff0 = Coeff1 = Coeff2 = 0.0;
|
|
Slope0 = Slope1 = 1.0;
|
|
Slope2 = 5.0;
|
|
|
|
// data for iHadron=0
|
|
static const G4double EnP0[6]={1.5,3.0,5.0,9.0,14.0,19.0};
|
|
static const G4double C0P0[6]={0.15,0.02,0.06,0.08,0.0003,0.0002};
|
|
static const G4double C1P0[6]={0.05,0.02,0.03,0.025,0.0,0.0};
|
|
static const G4double B0P0[6]={1.5,2.5,3.0,4.5,1.4,1.25};
|
|
static const G4double B1P0[6]={5.0,1.0,3.5,4.0,4.8,4.8};
|
|
|
|
// data for iHadron=6,7
|
|
static const G4double EnN[5]={1.5,5.0,10.0,14.0,20.0};
|
|
static const G4double C0N[5]={0.0,0.0,0.02,0.02,0.01};
|
|
static const G4double C1N[5]={0.06,0.008,0.0015,0.001,0.0003};
|
|
static const G4double B0N[5]={1.5,2.5,3.8,3.8,3.5};
|
|
static const G4double B1N[5]={1.5,2.2,3.6,4.5,4.8};
|
|
|
|
// data for iHadron=1
|
|
static const G4double EnP[2]={1.5,4.0};
|
|
static const G4double C0P[2]={0.001,0.0005};
|
|
static const G4double C1P[2]={0.003,0.001};
|
|
static const G4double B0P[2]={2.5,4.5};
|
|
static const G4double B1P[2]={1.0,4.0};
|
|
|
|
// data for iHadron=2
|
|
static const G4double EnPP[4]={1.0,2.0,3.0,4.0};
|
|
static const G4double C0PP[4]={0.0,0.0,0.0,0.0};
|
|
static const G4double C1PP[4]={0.15,0.08,0.02,0.01};
|
|
static const G4double B0PP[4]={1.5,2.8,3.8,3.8};
|
|
static const G4double B1PP[4]={0.8,1.6,3.6,4.6};
|
|
|
|
// data for iHadron=3
|
|
static const G4double EnPPN[4]={1.0,2.0,3.0,4.0};
|
|
static const G4double C0PPN[4]={0.0,0.0,0.0,0.0};
|
|
static const G4double C1PPN[4]={0.0,0.0,0.0,0.0};
|
|
static const G4double B0PPN[4]={1.5,2.8,3.8,3.8};
|
|
static const G4double B1PPN[4]={0.8,1.6,3.6,4.6};
|
|
|
|
// data for iHadron=4
|
|
static const G4double EnK[4]={1.4,2.33,3.0,5.0};
|
|
static const G4double C0K[4]={0.0,0.0,0.0,0.0};
|
|
static const G4double C1K[4]={0.01,0.007,0.005,0.003};
|
|
static const G4double B0K[4]={1.5,2.0,3.8,3.8};
|
|
static const G4double B1K[4]={1.6,1.6,1.6,1.6};
|
|
|
|
// data for iHadron=5
|
|
static const G4double EnKM[2]={1.4,4.0};
|
|
static const G4double C0KM[2]={0.006,0.002};
|
|
static const G4double C1KM[2]={0.00,0.00};
|
|
static const G4double B0KM[2]={2.5,3.5};
|
|
static const G4double B1KM[2]={1.6,1.6};
|
|
|
|
switch(iHadron) {
|
|
case 0:
|
|
|
|
if(hLabMomentum <BoundaryP[0]) {
|
|
InterpolateHN(6,EnP0,C0P0,C1P0,B0P0,B1P0);
|
|
}
|
|
Coeff2 = 0.8/hLabMomentum2;
|
|
break;
|
|
|
|
case 6:
|
|
|
|
if(hLabMomentum < BoundaryP[1]) {
|
|
InterpolateHN(5,EnN,C0N,C1N,B0N,B1N);
|
|
}
|
|
Coeff2 = 0.8/hLabMomentum2;
|
|
break;
|
|
|
|
case 1:
|
|
case 7:
|
|
if(hLabMomentum < BoundaryP[2]) {
|
|
InterpolateHN(2,EnP,C0P,C1P,B0P,B1P);
|
|
}
|
|
break;
|
|
|
|
case 2:
|
|
|
|
if(hLabMomentum < BoundaryP[3]) {
|
|
InterpolateHN(4,EnPP,C0PP,C1PP,B0PP,B1PP);
|
|
}
|
|
Coeff2 = 0.02/hLabMomentum;
|
|
break;
|
|
|
|
case 3:
|
|
|
|
if(hLabMomentum < BoundaryP[4]) {
|
|
InterpolateHN(4,EnPPN,C0PPN,C1PPN,B0PPN,B1PPN);
|
|
}
|
|
Coeff2 = 0.02/hLabMomentum;
|
|
break;
|
|
|
|
case 4:
|
|
|
|
if(hLabMomentum < BoundaryP[5]) {
|
|
InterpolateHN(4,EnK,C0K,C1K,B0K,B1K);
|
|
}
|
|
if(hLabMomentum < 1) { Coeff2 = 0.34; }
|
|
else { Coeff2 = 0.34/(hLabMomentum2*hLabMomentum); }
|
|
break;
|
|
|
|
case 5:
|
|
if(hLabMomentum < BoundaryP[6]) {
|
|
InterpolateHN(2,EnKM,C0KM,C1KM,B0KM,B1KM);
|
|
}
|
|
if(hLabMomentum < 1) { Coeff2 = 0.01; }
|
|
else { Coeff2 = 0.01/(hLabMomentum2*hLabMomentum); }
|
|
break;
|
|
}
|
|
|
|
if(verboseLevel > 2) {
|
|
G4cout<<" HadrVal : Plasb "<<hLabMomentum
|
|
<<" iHadron "<<iHadron<<" HadrTot "<<HadrTot<<G4endl;
|
|
}
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////
|
|
|
|
G4double G4ElasticHadrNucleusHE::GetFt(G4double Q2)
|
|
{
|
|
G4double Fdistr=0;
|
|
G4double SqrQ2 = std::sqrt(Q2);
|
|
|
|
Fdistr = (1-Coeff1-Coeff0) / HadrSlope*(1-G4Exp(-HadrSlope*Q2))
|
|
+ Coeff0*(1-G4Exp(-Slope0*Q2))
|
|
+ Coeff2/Slope2*G4Exp(Slope2*ConstU)*(G4Exp(Slope2*Q2)-1)
|
|
+ 2*Coeff1/Slope1*(1/Slope1-(1/Slope1+SqrQ2)*G4Exp(-Slope1*SqrQ2));
|
|
|
|
if (verboseLevel>1) {
|
|
G4cout<<"Old: Coeff0 Coeff1 Coeff2 "<<Coeff0<<" "
|
|
<<Coeff1<<" "<<Coeff2<<" Slope Slope0 Slope1 Slope2 "
|
|
<<HadrSlope<<" "<<Slope0<<" "<<Slope1<<" "<<Slope2
|
|
<<" Fdistr "<<Fdistr<<G4endl;
|
|
}
|
|
return Fdistr;
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////
|
|
|
|
G4double
|
|
G4ElasticHadrNucleusHE::HadronProtonQ2(G4double plab, G4double tmax)
|
|
{
|
|
hLabMomentum = plab;
|
|
hLabMomentum2 = hLabMomentum*hLabMomentum;
|
|
HadrEnergy = std::sqrt(hMass2 + hLabMomentum2);
|
|
DefineHadronValues(1);
|
|
|
|
G4double Sh = 2.0*protonM*HadrEnergy+protonM2+hMass2; // GeV
|
|
ConstU = 2*protonM2+2*hMass2-Sh;
|
|
|
|
BoundaryTL[0] = tmax;
|
|
BoundaryTL[1] = tmax;
|
|
BoundaryTL[3] = tmax;
|
|
BoundaryTL[4] = tmax;
|
|
BoundaryTL[5] = tmax;
|
|
|
|
G4double MaxTR = (plab < BoundaryP[iHadron1]) ?
|
|
BoundaryTL[iHadron1] : BoundaryTG[iHadron1];
|
|
|
|
if (verboseLevel>1) {
|
|
G4cout<<"3 GetKin. : iHadron1 "<<iHadron1
|
|
<<" Bound.P[iHadron1] "<<BoundaryP[iHadron1]
|
|
<<" Bound.TL[iHadron1] "<<BoundaryTL[iHadron1]
|
|
<<" Bound.TG[iHadron1] "<<BoundaryTG[iHadron1]
|
|
<<" MaxT MaxTR "<<tmax<<" "<<MaxTR<<G4endl;
|
|
}
|
|
|
|
G4double rand = G4UniformRand();
|
|
|
|
G4double DDD0=MaxTR*0.5, DDD1=0.0, DDD2=MaxTR;
|
|
|
|
G4double norm = 1.0/GetFt(MaxTR);
|
|
G4double delta = GetFt(DDD0)*norm - rand;
|
|
|
|
static const G4int maxNumberOfLoops = 10000;
|
|
G4int loopCounter = -1;
|
|
while ( (std::abs(delta) > 0.0001) &&
|
|
++loopCounter < maxNumberOfLoops ) /* Loop checking, 10.08.2015, A.Ribon */
|
|
{
|
|
if(delta>0)
|
|
{
|
|
DDD2 = DDD0;
|
|
DDD0 = (DDD0+DDD1)*0.5;
|
|
}
|
|
else if(delta<0.0)
|
|
{
|
|
DDD1 = DDD0;
|
|
DDD0 = (DDD0+DDD2)*0.5;
|
|
}
|
|
delta = GetFt(DDD0)*norm - rand;
|
|
}
|
|
return (loopCounter >= maxNumberOfLoops) ? 0.0 : DDD0;
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////
|
|
|
|
void G4ElasticHadrNucleusHE::Binom()
|
|
{
|
|
for(G4int N = 0; N < 240; ++N) {
|
|
G4double J = 1.0;
|
|
for(G4int M = 0; M <= N; ++M) {
|
|
G4double Fact1 = 1.0;
|
|
if (N > 0 && N > M && M > 0 ) {
|
|
J *= (G4double)(N-M+1)/(G4double)M;
|
|
Fact1 = J;
|
|
}
|
|
fBinom[N][M] = Fact1;
|
|
}
|
|
}
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////
|
|
|
|
void
|
|
G4ElasticHadrNucleusHE::InFileName(std::ostringstream& ss,
|
|
const G4ParticleDefinition* p, G4int Z)
|
|
{
|
|
if(!fDirectory) {
|
|
fDirectory = G4FindDataDir("G4LEDATA");
|
|
if (fDirectory) {
|
|
ss << fDirectory << "/";
|
|
}
|
|
}
|
|
OutFileName(ss, p, Z);
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////
|
|
|
|
void
|
|
G4ElasticHadrNucleusHE::OutFileName(std::ostringstream& ss,
|
|
const G4ParticleDefinition* p, G4int Z)
|
|
{
|
|
ss << "hedata/" << p->GetParticleName() << Z << ".dat";
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////
|
|
|
|
G4bool G4ElasticHadrNucleusHE::ReadLine(std::ifstream& infile,
|
|
std::vector<G4double>& v)
|
|
{
|
|
G4int n(0);
|
|
infile >> n;
|
|
if (infile.fail()) { return false; }
|
|
if(n > 0) {
|
|
v.reserve(n);
|
|
G4double x(0.0);
|
|
for(G4int i=0; i<n; ++i) {
|
|
infile >> x;
|
|
if (infile.fail()) { return false; }
|
|
v.emplace_back(x);
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////
|
|
|
|
void G4ElasticHadrNucleusHE::WriteLine(std::ofstream& outfile,
|
|
std::vector<G4double>& v)
|
|
{
|
|
std::size_t n = v.size();
|
|
outfile << n << G4endl;
|
|
if(n > 0) {
|
|
for(std::size_t i=0; i<n; ++i) {
|
|
outfile << v[i] << " ";
|
|
}
|
|
outfile << G4endl;
|
|
}
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////
|