360 lines
11 KiB
C++
360 lines
11 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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// $Id: $
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//
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// Author: D.H. Wright
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// Date: 2 February 2011
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//
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// Description: model of muon nuclear interaction in which a gamma from
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// the virtual photon spectrum interacts in the nucleus as
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// a real gamma at low energies and as a pi0 at high energies.
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// Kokoulin's muon cross section and equivalent gamma spectrum
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// are used.
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//
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#include "G4MuonVDNuclearModel.hh"
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#include "Randomize.hh"
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#include "G4PhysicalConstants.hh"
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#include "G4SystemOfUnits.hh"
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#include "G4CascadeInterface.hh"
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#include "G4TheoFSGenerator.hh"
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#include "G4GeneratorPrecompoundInterface.hh"
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#include "G4ExcitationHandler.hh"
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#include "G4PreCompoundModel.hh"
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#include "G4LundStringFragmentation.hh"
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#include "G4ExcitedStringDecay.hh"
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#include "G4FTFModel.hh"
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G4MuonVDNuclearModel::G4MuonVDNuclearModel()
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: G4HadronicInteraction("G4MuonVDNuclearModel")
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{
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SetMinEnergy(0.0);
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SetMaxEnergy(1*PeV);
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CutFixed = 0.2*GeV;
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NBIN = 1000;
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for (G4int k = 0; k < 5; k++) {
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for (G4int j = 0; j < 8; j++) {
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for (G4int i = 0; i < 1001; i++) {
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proba[k][j][i] = 0.0;
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ya[i] = 0.0;
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}
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}
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}
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MakeSamplingTable();
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// Build FTFP model
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ftfp = new G4TheoFSGenerator();
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precoInterface = new G4GeneratorPrecompoundInterface();
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theHandler = new G4ExcitationHandler();
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preEquilib = new G4PreCompoundModel(theHandler);
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precoInterface->SetDeExcitation(preEquilib);
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ftfp->SetTransport(precoInterface);
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theFragmentation = new G4LundStringFragmentation();
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theStringDecay = new G4ExcitedStringDecay(theFragmentation);
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theStringModel = new G4FTFModel;
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theStringModel->SetFragmentationModel(theStringDecay);
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ftfp->SetHighEnergyGenerator(theStringModel);
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// Build Bertini cascade
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bert = new G4CascadeInterface();
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}
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G4MuonVDNuclearModel::~G4MuonVDNuclearModel()
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{
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delete ftfp;
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delete preEquilib;
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delete theFragmentation;
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delete theStringDecay;
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delete theStringModel;
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delete bert;
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}
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G4HadFinalState*
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G4MuonVDNuclearModel::ApplyYourself(const G4HadProjectile& aTrack,
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G4Nucleus& targetNucleus)
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{
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theParticleChange.Clear();
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// For very low energy, return initial track
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G4double epmax = aTrack.GetTotalEnergy() - 0.5*proton_mass_c2;
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if (epmax <= CutFixed) {
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theParticleChange.SetStatusChange(isAlive);
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theParticleChange.SetEnergyChange(aTrack.GetKineticEnergy());
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theParticleChange.SetMomentumChange(aTrack.Get4Momentum().vect().unit());
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return &theParticleChange;
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}
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// Produce recoil muon and transferred photon
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G4DynamicParticle* transferredPhoton = CalculateEMVertex(aTrack, targetNucleus);
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// Interact the gamma with the nucleus
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CalculateHadronicVertex(transferredPhoton, targetNucleus);
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return &theParticleChange;
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}
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G4DynamicParticle*
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G4MuonVDNuclearModel::CalculateEMVertex(const G4HadProjectile& aTrack,
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G4Nucleus& targetNucleus)
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{
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// Select sampling table
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G4double KineticEnergy = aTrack.GetKineticEnergy();
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G4double TotalEnergy = aTrack.GetTotalEnergy();
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G4double Mass = G4MuonMinus::MuonMinus()->GetPDGMass();
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G4double lnZ = std::log(G4double(targetNucleus.GetZ_asInt() ) );
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G4double epmin = CutFixed;
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G4double epmax = TotalEnergy - 0.5*proton_mass_c2;
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G4double m0 = 0.2*GeV;
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G4double delmin = 1.e10;
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G4double del;
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G4int izz = 0;
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G4int itt = 0;
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G4int NBINminus1 = NBIN - 1;
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G4int nzdat = 5;
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G4double zdat[] = {1.,4.,13.,29.,92.};
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for (G4int iz = 0; iz < nzdat; iz++) {
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del = std::abs(lnZ-std::log(zdat[iz]));
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if (del < delmin) {
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delmin = del;
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izz = iz;
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}
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}
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G4int ntdat = 8;
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G4double tdat[] = {1.e3,1.e4,1.e5,1.e6,1.e7,1.e8,1.e9,1.e10};
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delmin = 1.e10;
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for (G4int it = 0; it < ntdat; it++) {
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del = std::abs(std::log(KineticEnergy)-std::log(tdat[it]) );
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if (del < delmin) {
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delmin = del;
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itt = it;
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}
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}
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// Sample the energy transfer according to the probability table
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G4double r = G4UniformRand();
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G4int iy = -1;
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do {
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iy += 1 ;
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} while (((proba[izz][itt][iy]) < r)&&(iy < NBINminus1)) ;
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// Sampling is done uniformly in y in the bin
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G4double y;
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if (iy < NBIN)
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y = ya[iy] + G4UniformRand() * (ya[iy+1] - ya[iy]);
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else
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y = ya[iy];
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G4double x = std::exp(y);
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G4double ep = epmin*std::exp(x*std::log(epmax/epmin) );
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// Sample scattering angle of mu, but first t should be sampled.
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G4double yy = ep/TotalEnergy;
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G4double tmin = Mass*Mass*yy*yy/(1.-yy);
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G4double tmax = 2.*proton_mass_c2*ep;
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G4double t1;
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G4double t2;
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if (m0 < ep) {
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t1 = m0*m0;
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t2 = ep*ep;
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} else {
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t1 = ep*ep;
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t2 = m0*m0;
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}
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G4double w1 = tmax*t1;
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G4double w2 = tmax+t1;
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G4double w3 = tmax*(tmin+t1)/(tmin*w2);
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G4double y1 = 1.-yy;
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G4double y2 = 0.5*yy*yy;
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G4double y3 = y1+y2;
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G4double t;
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G4double rej;
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// Now sample t
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G4int ntry = 0;
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do
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{
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ntry += 1;
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t = w1/(w2*std::exp(G4UniformRand()*std::log(w3))-tmax);
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rej = (1.-t/tmax)*(y1*(1.-tmin/t)+y2)/(y3*(1.-t/t2));
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} while (G4UniformRand() > rej) ;
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// compute angle from t
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G4double sinth2 =
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0.5*(t-tmin)/(2.*(TotalEnergy*(TotalEnergy-ep)-Mass*Mass)-tmin);
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G4double theta = std::acos(1. - 2.*sinth2);
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G4double phi = twopi*G4UniformRand();
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G4double sinth = std::sin(theta);
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G4double dirx = sinth*std::cos(phi);
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G4double diry = sinth*std::sin(phi);
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G4double dirz = std::cos(theta);
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G4ThreeVector finalDirection(dirx,diry,dirz);
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G4ThreeVector ParticleDirection(aTrack.Get4Momentum().vect().unit() );
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finalDirection.rotateUz(ParticleDirection);
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G4double NewKinEnergy = KineticEnergy - ep;
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G4double finalMomentum = std::sqrt(NewKinEnergy*(NewKinEnergy+2.*Mass) );
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G4double Ef = NewKinEnergy + Mass;
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G4double initMomentum = std::sqrt(KineticEnergy*(TotalEnergy+Mass) );
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// Set energy and direction of scattered primary in theParticleChange
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theParticleChange.SetStatusChange(isAlive);
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theParticleChange.SetEnergyChange(NewKinEnergy);
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theParticleChange.SetMomentumChange(finalDirection);
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// Now create the emitted gamma
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G4LorentzVector primaryMomentum(initMomentum*ParticleDirection, TotalEnergy);
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G4LorentzVector fsMomentum(finalMomentum*finalDirection, Ef);
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G4LorentzVector momentumTransfer = primaryMomentum - fsMomentum;
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G4DynamicParticle* gamma =
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new G4DynamicParticle(G4Gamma::Gamma(), momentumTransfer);
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return gamma;
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}
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void
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G4MuonVDNuclearModel::CalculateHadronicVertex(G4DynamicParticle* incident,
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G4Nucleus& target)
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{
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G4HadFinalState* hfs = 0;
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G4double gammaE = incident->GetTotalEnergy();
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if (gammaE < 10*GeV) {
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G4HadProjectile projectile(*incident);
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hfs = bert->ApplyYourself(projectile, target);
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} else {
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// convert incident gamma to a pi0
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G4double piMass = G4PionZero::PionZero()->GetPDGMass();
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G4double piKE = incident->GetTotalEnergy() - piMass;
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G4double piMom = std::sqrt(piKE*(piKE + 2*piMass) );
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G4ThreeVector piMomentum(incident->GetMomentumDirection() );
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piMomentum *= piMom;
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G4DynamicParticle theHadron(G4PionZero::PionZero(), piMomentum);
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G4HadProjectile projectile(theHadron);
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hfs = ftfp->ApplyYourself(projectile, target);
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}
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delete incident;
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// Copy secondaries from sub-model to model
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theParticleChange.AddSecondaries(hfs);
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}
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void G4MuonVDNuclearModel::MakeSamplingTable()
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{
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G4double adat[] = {1.01,9.01,26.98,63.55,238.03};
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G4double zdat[] = {1.,4.,13.,29.,92.};
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G4int nzdat = 5;
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G4double tdat[] = {1.e3,1.e4,1.e5,1.e6,1.e7,1.e8,1.e9,1.e10};
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G4int ntdat = 8;
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G4int nbin;
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G4double KineticEnergy;
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G4double TotalEnergy;
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G4double Maxep;
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G4double CrossSection;
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G4double c;
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G4double y;
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G4double ymin,ymax;
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G4double dy,yy;
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G4double dx,x;
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G4double ep;
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G4double AtomicNumber;
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G4double AtomicWeight;
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for (G4int iz = 0; iz < nzdat; iz++) {
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AtomicNumber = zdat[iz];
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AtomicWeight = adat[iz]*(g/mole);
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for (G4int it = 0; it < ntdat; it++) {
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KineticEnergy = tdat[it];
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TotalEnergy = KineticEnergy + G4MuonMinus::MuonMinus()->GetPDGMass();
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Maxep = TotalEnergy - 0.5*proton_mass_c2;
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CrossSection = 0.0;
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// Calculate the differential cross section
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// numerical integration in log .........
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c = std::log(Maxep/CutFixed);
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ymin = -5.0;
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ymax = 0.0;
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dy = (ymax-ymin)/NBIN;
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nbin=-1;
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y = ymin - 0.5*dy;
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yy = ymin - dy;
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for (G4int i = 0; i < NBIN; i++) {
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y += dy;
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x = std::exp(y);
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yy += dy;
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dx = std::exp(yy+dy)-std::exp(yy);
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ep = CutFixed*std::exp(c*x);
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CrossSection +=
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ep*dx*muNucXS.ComputeDDMicroscopicCrossSection(KineticEnergy,
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AtomicNumber,
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AtomicWeight, ep);
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if (nbin < NBIN) {
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nbin += 1;
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ya[nbin] = y;
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proba[iz][it][nbin] = CrossSection;
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}
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}
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ya[NBIN] = 0.;
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if (CrossSection > 0.0) {
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for (G4int ib = 0; ib <= nbin; ib++) proba[iz][it][ib] /= CrossSection;
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}
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} // loop on it
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} // loop on iz
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// G4cout << " Kokoulin XS = "
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// << muNucXS.ComputeDDMicroscopicCrossSection(1*GeV, 20.0, 40.0*g/mole, 0.3*GeV)/millibarn
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// << G4endl;
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}
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