Import Geant4 10.7.0.beta source tree
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@@ -41,6 +41,7 @@
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// 06-02-06 ComputeCrossSectionPerElectron, ComputeCrossSectionPerAtom (mma)
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// 29-06-06 Fix problem for zero energy incident positron (V.Ivanchenko)
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// 20-10-06 Add theGamma as a member (V.Ivanchenko)
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// 18-01-20 Introduce thermal model of annihilation at rest (J.Allison)
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//
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//
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// Class Description:
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@@ -54,13 +55,12 @@
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//
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// GEANT4 internal units.
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//
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// Note 1: The initial electron is assumed free and at rest.
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// Note 1: The initial electron is assumed free and at rest if atomic PDF
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// is not defined
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//
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// Note 2: The annihilation processes producing one or more than two photons are
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// ignored, as negligible compared to the two photons process.
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//
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// -------------------------------------------------------------------
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//
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@@ -75,7 +75,9 @@
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#include "G4Positron.hh"
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#include "G4Gamma.hh"
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#include "Randomize.hh"
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#include "G4RandomDirection.hh"
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#include "G4ParticleChangeForGamma.hh"
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#include "G4EmParameters.hh"
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#include "G4Log.hh"
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#include "G4Exp.hh"
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@@ -83,6 +85,8 @@
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using namespace std;
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G4bool G4eeToTwoGammaModel::fSampleAtomicPDF = false;
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G4eeToTwoGammaModel::G4eeToTwoGammaModel(const G4ParticleDefinition*,
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const G4String& nam)
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: G4VEmModel(nam),
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@@ -102,6 +106,26 @@ G4eeToTwoGammaModel::~G4eeToTwoGammaModel()
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void G4eeToTwoGammaModel::Initialise(const G4ParticleDefinition*,
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const G4DataVector&)
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{
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if(IsMaster()) {
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G4int verbose = G4EmParameters::Instance()->Verbose();
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// redo initialisation for each new run
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fSampleAtomicPDF = false;
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const auto& materialTable = G4Material::GetMaterialTable();
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for (const auto& material: *materialTable) {
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const G4double meanEnergyPerIonPair = material->GetIonisation()->GetMeanEnergyPerIonPair();
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if (meanEnergyPerIonPair > 0.) {
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fSampleAtomicPDF = true;
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if(verbose > 0) {
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G4cout << "### G4eeToTwoGammaModel: for " << material->GetName() << " mean energy per ion pair is "
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<< meanEnergyPerIonPair/CLHEP::eV << " eV" << G4endl;
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}
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}
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}
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}
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// If no materials have meanEnergyPerIonPair set. This is probably the usual
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// case, since most applications are not senstive to the slight
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// non-collinearity of gammas in eeToTwoGamma. Do not issue any warning.
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if(fParticleChange) { return; }
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fParticleChange = GetParticleChangeForGamma();
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}
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@@ -135,9 +159,7 @@ G4double G4eeToTwoGammaModel::ComputeCrossSectionPerAtom(
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G4double, G4double, G4double)
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{
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// Calculates the cross section per atom of annihilation into two photons
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G4double cross = Z*ComputeCrossSectionPerElectron(kineticEnergy);
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return cross;
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return Z*ComputeCrossSectionPerElectron(kineticEnergy);
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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@@ -149,19 +171,16 @@ G4double G4eeToTwoGammaModel::CrossSectionPerVolume(
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G4double, G4double)
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{
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// Calculates the cross section per volume of annihilation into two photons
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G4double eDensity = material->GetElectronDensity();
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G4double cross = eDensity*ComputeCrossSectionPerElectron(kineticEnergy);
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return cross;
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return material->GetElectronDensity()*ComputeCrossSectionPerElectron(kineticEnergy);
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}
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//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
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// Polarisation of gamma according to M.H.L.Pryce and J.C.Ward,
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// Polarisation of gamma according to M.H.L.Pryce and J.C.Ward,
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// Nature 4065 (1947) 435.
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void G4eeToTwoGammaModel::SampleSecondaries(vector<G4DynamicParticle*>* vdp,
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const G4MaterialCutsCouple*,
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const G4MaterialCutsCouple* pCutsCouple,
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const G4DynamicParticle* dp,
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G4double,
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G4double)
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@@ -173,26 +192,81 @@ void G4eeToTwoGammaModel::SampleSecondaries(vector<G4DynamicParticle*>* vdp,
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// Case at rest
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if(posiKinEnergy == 0.0) {
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G4double cost = 2.*rndmEngine->flat()-1.;
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G4double sint = sqrt((1. - cost)*(1. + cost));
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G4double phi = twopi * rndmEngine->flat();
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G4ThreeVector dir(sint*cos(phi), sint*sin(phi), cost);
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phi = twopi * rndmEngine->flat();
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G4double cosphi = cos(phi);
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G4double sinphi = sin(phi);
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G4ThreeVector pol(cosphi, sinphi, 0.0);
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pol.rotateUz(dir);
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aGamma1 = new G4DynamicParticle(theGamma, dir, electron_mass_c2);
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aGamma1->SetPolarization(pol.x(),pol.y(),pol.z());
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aGamma2 = new G4DynamicParticle(theGamma,-dir, electron_mass_c2);
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pol.set(-sinphi, cosphi, 0.0);
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pol.rotateUz(dir);
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aGamma2->SetPolarization(pol.x(),pol.y(),pol.z());
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/*
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G4cout << "Annihilation at rest fly: e0= " << " dir= " << dir
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<< G4endl;
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*/
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} else {
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const G4double eGamma = electron_mass_c2;
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// In rest frame of positronium gammas are back to back
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const G4ThreeVector& dir1 = G4RandomDirection();
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const G4ThreeVector& dir2 = -dir1;
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aGamma1 = new G4DynamicParticle(G4Gamma::Gamma(),dir1,eGamma);
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aGamma2 = new G4DynamicParticle(G4Gamma::Gamma(),dir2,eGamma);
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// In rest frame the gammas are polarised perpendicular to each other - see
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// Pryce and Ward, Nature No 4065 (1947) p.435.
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// Snyder et al, Physical Review 73 (1948) p.440.
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G4ThreeVector pol1 = (G4RandomDirection().cross(dir1)).unit();
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G4ThreeVector pol2 = (pol1.cross(dir2)).unit();
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// But the positronium is moving...
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// A positron in matter slows down and combines with an atomic electron to
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// make a neutral “atom” called positronium, about half the size of a normal
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// atom. I expect that when the energy of the positron is small enough,
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// less than the binding energy of positronium (6.8 eV), it is
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// energetically favourable for an electron from the outer orbitals of a
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// nearby atom or molecule to transfer and bind to the positron, as in an
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// ionic bond, leaving behind a mildly ionised nearby atom/molecule. I
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// would expect the positronium to come away with a kinetic energy of a
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// few eV on average. In its para (spin 0) state it annihilates into two
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// photons, which in the rest frame of the positronium are collinear
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// (back-to-back) due to momentum conservation. Because of the motion of the
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// positronium, photons will be not quite back-to-back in the laboratory.
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// The positroniuim acquires an energy of order its binding energy and
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// doesn't have time to thermalise. Nevertheless, here we approximate its
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// energy distribution by a Maxwell-Boltzman with mean energy <KE>. In terms
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// of a more familiar concept of temperature, and the law of equipartition
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// of energy of translational motion, <KE>=3kT/2. Each component of velocity
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// has a distribution exp(-mv^2/2kT), which is a Gaussian of mean zero
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// and variance kT/m=2<KE>/3m, where m is the positronium mass.
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// We take <KE> = material->GetIonisation()->GetMeanEnergyPerIonPair().
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if(fSampleAtomicPDF) {
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const G4Material* material = pCutsCouple->GetMaterial();
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const G4double meanEnergyPerIonPair = material->GetIonisation()->GetMeanEnergyPerIonPair();
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const G4double& meanKE = meanEnergyPerIonPair; // Just an alias
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if (meanKE > 0.) { // Positronium haas motion
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// Mass of positronium
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const G4double mass = 2.*electron_mass_c2;
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// Mean <KE>=3kT/2, as described above
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// const G4double T = 2.*meanKE/(3.*k_Boltzmann);
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// Component velocities: Gaussian, variance kT/m=2<KE>/3m.
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const G4double sigmav = std::sqrt(2.*meanKE/(3.*mass));
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// This is in units where c=1
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const G4double vx = G4RandGauss::shoot(0.,sigmav);
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const G4double vy = G4RandGauss::shoot(0.,sigmav);
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const G4double vz = G4RandGauss::shoot(0.,sigmav);
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const G4ThreeVector v(vx,vy,vz); // In unit where c=1
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const G4ThreeVector& beta = v; // so beta=v/c=v
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aGamma1->Set4Momentum(aGamma1->Get4Momentum().boost(beta));
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aGamma2->Set4Momentum(aGamma2->Get4Momentum().boost(beta));
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// Rotate polarisation vectors
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const G4ThreeVector& newDir1 = aGamma1->GetMomentumDirection();
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const G4ThreeVector& newDir2 = aGamma2->GetMomentumDirection();
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const G4ThreeVector& axis1 = dir1.cross(newDir1); // No need to be unit
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const G4ThreeVector& axis2 = dir2.cross(newDir2); // No need to be unit
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const G4double& angle1 = std::acos(dir1*newDir1);
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const G4double& angle2 = std::acos(dir2*newDir2);
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if (axis1 != G4ThreeVector()) pol1.rotate(axis1,angle1);
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if (axis2 != G4ThreeVector()) pol2.rotate(axis2,angle2);
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}
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}
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aGamma1->SetPolarization(pol1.x(),pol1.y(),pol1.z());
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aGamma2->SetPolarization(pol2.x(),pol2.y(),pol2.z());
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} else { // Positron interacts in flight
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G4ThreeVector posiDirection = dp->GetMomentumDirection();
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