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25 // 25 //
26 // 26 //
27 // ------------------------------------------- 27 // -------------------------------------------------------------------
28 // 28 //
29 // GEANT4 Class file 29 // GEANT4 Class file
30 // 30 //
31 // 31 //
32 // File name: G4BetheHeitler5DModel.cc 32 // File name: G4BetheHeitler5DModel.cc
33 // 33 //
34 // Authors: 34 // Authors:
35 // Igor Semeniouk and Denis Bernard, 35 // Igor Semeniouk and Denis Bernard,
36 // LLR, Ecole polytechnique & CNRS/IN2P3, 9112 36 // LLR, Ecole polytechnique & CNRS/IN2P3, 91128 Palaiseau, France
37 // 37 //
38 // Acknowledgement of the support of the Frenc 38 // Acknowledgement of the support of the French National Research Agency
39 // (ANR-13-BS05-0002). 39 // (ANR-13-BS05-0002).
40 // 40 //
41 // Reference: Nucl. Instrum. Meth. A 899 (2018 41 // Reference: Nucl. Instrum. Meth. A 899 (2018) 85 (arXiv:1802.08253 [hep-ph])
42 // Nucl. Instrum. Meth., A 936 (201 <<
43 // 42 //
44 // Class Description: 43 // Class Description:
45 // 44 //
46 // Generates the conversion of a high-energy p << 45 // Generates the conversion of a high-energy photon to an e+e- pair, either in the field of an
47 // atomic electron (triplet) or nucleus (nucle 46 // atomic electron (triplet) or nucleus (nuclear).
48 // Samples the five-dimensional (5D) different 47 // Samples the five-dimensional (5D) differential cross-section analytical expression:
49 // . Non polarized conversion: 48 // . Non polarized conversion:
50 // H.A. Bethe, W. Heitler, Proc. R. Soc. Lon 49 // H.A. Bethe, W. Heitler, Proc. R. Soc. Lond. Ser. A 146 (1934) 83.
51 // . Polarized conversion: 50 // . Polarized conversion:
52 // T. H. Berlin and L. Madansky, Phys. Rev. 51 // T. H. Berlin and L. Madansky, Phys. Rev. 78 (1950) 623,
53 // M. M. May, Phys. Rev. 84 (1951) 265, 52 // M. M. May, Phys. Rev. 84 (1951) 265,
54 // J. M. Jauch and F. Rohrlich, The theory o 53 // J. M. Jauch and F. Rohrlich, The theory of photons and electrons, 1976.
55 // 54 //
56 // All the above expressions are named "Bethe- 55 // All the above expressions are named "Bethe-Heitler" here.
57 // 56 //
58 // Bethe & Heitler, put in Feynman diagram par 57 // Bethe & Heitler, put in Feynman diagram parlance, compute only the two dominant diagrams of
59 // the first order Born development, which is 58 // the first order Born development, which is an excellent approximation for nuclear conversion
60 // and for high-energy triplet conversion. 59 // and for high-energy triplet conversion.
61 // 60 //
62 // Only the linear polarisation of the incomin 61 // Only the linear polarisation of the incoming photon takes part in these expressions.
63 // The circular polarisation of the incoming p << 62 // The circular polarisation of the incoming photon does not (take part) and no polarisation
64 // is transfered to the final leptons. 63 // is transfered to the final leptons.
65 // 64 //
66 // In case conversion takes place in the field << 65 // In case conversion takes place in the field of an isolated nucleus or electron, the bare
67 // Bethe-Heitler expression is used. 66 // Bethe-Heitler expression is used.
68 // 67 //
69 // In case the nucleus or the electron are par << 68 // In case the nucleus or the electron are part of an atom, the screening of the target field
70 // by the other electrons of the atom is descr 69 // by the other electrons of the atom is described by a simple form factor, function of q2:
71 // . nuclear: N.F. Mott, H.S.W. Massey, The Th 70 // . nuclear: N.F. Mott, H.S.W. Massey, The Theory of Atomic Collisions, 1934.
72 // . triplet: J.A. Wheeler and W.E. Lamb, Phys 71 // . triplet: J.A. Wheeler and W.E. Lamb, Phys. Rev. 55 (1939) 858.
73 // 72 //
74 // The nuclear form factor that affects the pr 73 // The nuclear form factor that affects the probability of very large-q2 events, is not considered.
75 // 74 //
76 // In principle the code is valid from thresho << 75 // In principle the code is valid from threshold, that is from 2 * m_e c^2 for nuclear and from
77 // 4 * m_e c^2 for triplet, up to infinity, wh << 76 // 4 * m_e c^2 for triplet, up to infinity, while in pratice the divergence of the differential
78 // cross section at small q2 and, at high-ener << 77 // cross section at small q2 and, at high-energy, at small polar angle, make it break down at
79 // some point that depends on machine precisio 78 // some point that depends on machine precision.
80 // 79 //
81 // Very-high-energy (above a few tens of TeV) 80 // Very-high-energy (above a few tens of TeV) LPM suppression effects in the normalized differential
82 // cross-section are not considered. 81 // cross-section are not considered.
83 // 82 //
84 // The 5D differential cross section is sample << 83 // The 5D differential cross section is sampled without any high-energy nor small
85 // angle approximation(s). 84 // angle approximation(s).
86 // The generation is strictly energy-momentum << 85 // The generation is strictly energy-momentum conserving when all particles in the final state
87 // are taken into account, that is, including 86 // are taken into account, that is, including the recoiling target.
88 // (In contrast with the BH expressions taken 87 // (In contrast with the BH expressions taken at face values, for which the electron energy is
89 // taken to be EMinus = GammaEnergy - EPlus) 88 // taken to be EMinus = GammaEnergy - EPlus)
90 // 89 //
91 // Tests include the examination of 1D distrib 90 // Tests include the examination of 1D distributions: see TestEm15
92 // 91 //
93 // Total cross sections are not computed (we i 92 // Total cross sections are not computed (we inherit from other classes).
94 // We just convert a photon on a target when a 93 // We just convert a photon on a target when asked to do so.
95 // 94 //
96 // Pure nuclear, pure triplet and 1/Z triplet/ << 95 // Pure nuclear, pure triplet and 1/Z triplet/nuclear mixture can be generated.
97 // 96 //
98 // ------------------------------------------- 97 // -------------------------------------------------------------------
99 98
100 #include "G4BetheHeitler5DModel.hh" 99 #include "G4BetheHeitler5DModel.hh"
101 #include "G4EmParameters.hh" 100 #include "G4EmParameters.hh"
102 101
103 #include "G4PhysicalConstants.hh" 102 #include "G4PhysicalConstants.hh"
104 #include "G4SystemOfUnits.hh" 103 #include "G4SystemOfUnits.hh"
105 #include "G4Electron.hh" 104 #include "G4Electron.hh"
106 #include "G4Positron.hh" 105 #include "G4Positron.hh"
107 #include "G4Gamma.hh" 106 #include "G4Gamma.hh"
108 #include "G4IonTable.hh" 107 #include "G4IonTable.hh"
109 #include "G4NucleiProperties.hh" 108 #include "G4NucleiProperties.hh"
110 109
111 #include "Randomize.hh" 110 #include "Randomize.hh"
112 #include "G4ParticleChangeForGamma.hh" 111 #include "G4ParticleChangeForGamma.hh"
113 #include "G4Pow.hh" 112 #include "G4Pow.hh"
114 #include "G4Log.hh" 113 #include "G4Log.hh"
115 #include "G4Exp.hh" 114 #include "G4Exp.hh"
116 115
117 #include "G4LorentzVector.hh" 116 #include "G4LorentzVector.hh"
118 #include "G4ThreeVector.hh" 117 #include "G4ThreeVector.hh"
119 #include "G4RotationMatrix.hh" <<
120 <<
121 #include <cassert> <<
122 <<
123 const G4int kEPair = 0; <<
124 const G4int kMuPair = 1; <<
125 <<
126 118
127 //....oooOO0OOooo........oooOO0OOooo........oo 119 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
128 120
129 G4BetheHeitler5DModel::G4BetheHeitler5DModel(c 121 G4BetheHeitler5DModel::G4BetheHeitler5DModel(const G4ParticleDefinition* pd,
130 c 122 const G4String& nam)
131 : G4PairProductionRelModel(pd, nam), << 123 : G4BetheHeitlerModel(pd, nam), fVerbose(1), fConversionType(0), iraw(false)
132 fLepton1(G4Electron::Definition()),fLepton <<
133 fTheMuPlus(nullptr),fTheMuMinus(nullptr), <<
134 fVerbose(1), <<
135 fConversionType(0), <<
136 fConvMode(kEPair), <<
137 iraw(false) <<
138 { 124 {
>> 125 SetLowEnergyLimit(2*CLHEP::electron_mass_c2);
139 theIonTable = G4IonTable::GetIonTable(); 126 theIonTable = G4IonTable::GetIonTable();
140 //Q: Do we need this on Model << 127 // Verbosity levels: ( Can redefine as needed, but some consideration )
141 SetLowEnergyLimit(2*fTheElectron->GetPDGMass << 128 // 0 = nothing
>> 129 // > 2 print results
>> 130 // > 3 print rejection warning from transformation (fix bug from gammaray .. )
>> 131 // > 4 print photon direction & polarisation
142 } 132 }
143 133
144 //....oooOO0OOooo........oooOO0OOooo........oo 134 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
145 135
146 G4BetheHeitler5DModel::~G4BetheHeitler5DModel( << 136 G4BetheHeitler5DModel::~G4BetheHeitler5DModel()
>> 137 {}
147 138
148 //....oooOO0OOooo........oooOO0OOooo........oo 139 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
149 140
150 void G4BetheHeitler5DModel::Initialise(const G 141 void G4BetheHeitler5DModel::Initialise(const G4ParticleDefinition* part,
151 const G4DataVector& vec) 142 const G4DataVector& vec)
152 { 143 {
153 G4PairProductionRelModel::Initialise(part, v << 144 G4BetheHeitlerModel::Initialise(part, vec);
154 145
155 G4EmParameters* theManager = G4EmParameters: 146 G4EmParameters* theManager = G4EmParameters::Instance();
156 // place to initialise model parameters 147 // place to initialise model parameters
157 // Verbosity levels: ( Can redefine as neede <<
158 // 0 = nothing <<
159 // > 2 print results <<
160 // > 3 print rejection warning from transfor <<
161 // > 4 print photon direction & polarisation <<
162 fVerbose = theManager->Verbose(); 148 fVerbose = theManager->Verbose();
163 fConversionType = theManager->GetConversionT << 149 fConversionType = theManager->GetConversionType();
164 //////////////////////////////////////////// 150 //////////////////////////////////////////////////////////////
165 // iraw : 151 // iraw :
166 // true : isolated electron or nucleus 152 // true : isolated electron or nucleus.
167 // false : inside atom -> screening for 153 // false : inside atom -> screening form factor
168 iraw = theManager->OnIsolated(); 154 iraw = theManager->OnIsolated();
169 // G4cout << "BH5DModel::Initialise verbose 155 // G4cout << "BH5DModel::Initialise verbose " << fVerbose
170 // << " isolated " << iraw << " ctype "<< 156 // << " isolated " << iraw << " ctype "<< fConversionType << G4endl;
171 <<
172 //Q: Do we need this on Model <<
173 // The Leptons defined via SetLeptonPair(..) <<
174 SetLowEnergyLimit(2*CLHEP::electron_mass_c2) <<
175 } 157 }
176 158
177 //....oooOO0OOooo........oooOO0OOooo........oo 159 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
178 160
179 void G4BetheHeitler5DModel::SetLeptonPair(cons << 161
180 const G4ParticleDefinition* p2) << 162 //
>> 163 // Converting from pair coordinate
>> 164 //
>> 165 void
>> 166 G4BetheHeitler5DModel::BoostG4LorentzVector(const G4LorentzVector& p,
>> 167 const G4LorentzVector& q,
>> 168 G4LorentzVector& res) const
181 { 169 {
182 G4int pdg1 = p1->GetPDGEncoding(); << 170 // p : 4-vector which will be boosted
183 G4int pdg2 = p2->GetPDGEncoding(); << 171 // q : 4-vector of new origin in the old coordinates
184 G4int pdg = std::abs(pdg1); << 172 const G4double pq = p.x()*q.x() + p.y()*q.y() + p.z()*q.z();
185 if ( pdg1 != -pdg2 || (pdg != 11 && pdg != 1 << 173 const G4double qq = q.x()*q.x() + q.y()*q.y() + q.z()*q.z();
186 G4ExceptionDescription ed; << 174 const G4double mass2 = q.t()*q.t()-qq;
187 ed << " Wrong pair of leptons: " << p1->Ge << 175 if ( mass2 > 0.0 ) {
188 << " and " << p1->GetParticleName(); << 176 const G4double mass = std::sqrt(q.t()*q.t()-qq);
189 G4Exception("G4BetheHeitler5DModel::SetLep << 177 const G4double lf = ((q.t()-mass)*pq/qq+p.t())/mass;
190 FatalErrorInArgument, ed, ""); << 178 res.set( (p.x()+q.x()*lf), (p.y()+q.y()*lf), (p.z()+q.z()*lf),
>> 179 ((p.t()*q.t()+pq)/mass) );
191 } else { 180 } else {
192 if ( pdg == 11 ) { << 181 res = p;
193 SetConversionMode(kEPair); << 182 if ( fVerbose > 3 ) {
194 if( pdg1 == 11 ) { << 183 G4cout << "G4BetheHeitler5DModel::BoostG4LorentzVector Warning point not converted"
195 fLepton1 = p1; << 184 << G4endl << "secondary in " << p
196 fLepton2 = p2; << 185 << G4endl << "Pair1 " << q << G4endl;
197 } else { <<
198 fLepton1 = p2; <<
199 fLepton2 = p1; <<
200 } <<
201 if (fVerbose > 0) <<
202 G4cout << "G4BetheHeitler5DModel::SetLeptonP <<
203 << G4endl; <<
204 } else { <<
205 SetConversionMode(kMuPair); <<
206 if( pdg1 == 13 ) { <<
207 fLepton1 = p1; <<
208 fLepton2 = p2; <<
209 } else { <<
210 fLepton1 = p2; <<
211 fLepton2 = p1; <<
212 } <<
213 fTheMuPlus = fLepton2; <<
214 fTheMuMinus= fLepton1; <<
215 if (fVerbose > 0) <<
216 G4cout << "G4BetheHeitler5DModel::SetLeptonP <<
217 << G4endl; <<
218 } 186 }
219 } 187 }
220 } 188 }
221 189
>> 190 // assuming that q.x=q.y=0.0
>> 191 void
>> 192 G4BetheHeitler5DModel::BoostG4LorentzVector(const G4LorentzVector& p,
>> 193 const G4double qz,
>> 194 const G4double qt,
>> 195 const G4double lffac,
>> 196 const G4double imass,
>> 197 G4LorentzVector& res) const
>> 198 {
>> 199 // p : 4-vector which will be boosted
>> 200 // q : 4-vector of new origin in the old coordinates
>> 201 const G4double pq = p.z()*qz;
>> 202 const G4double lf = (lffac*pq+p.t())*imass;
>> 203 res.setZ(p.z()+qz*lf);
>> 204 res.setT((p.t()*qt+pq)*imass);
>> 205 }
>> 206
222 //....oooOO0OOooo........oooOO0OOooo........oo 207 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
223 208
224 G4double G4BetheHeitler5DModel::MaxDiffCrossSe << 209 G4double G4BetheHeitler5DModel::MaxDiffCrossSection(const G4double* par,
225 << 210 G4double Z,
226 << 211 G4double e,
227 212 G4double loge) const
228 { 213 {
229 const G4double Q = e/par[9]; 214 const G4double Q = e/par[9];
230 return par[0] * G4Exp((par[2]+loge*par[4])*l 215 return par[0] * G4Exp((par[2]+loge*par[4])*loge)
231 / (par[1]+ G4Exp(par[3]*loge)+G4Exp(p 216 / (par[1]+ G4Exp(par[3]*loge)+G4Exp(par[5]*loge))
232 * (1+par[7]*G4Exp(par[8]*G4Log(Z))*Q/ 217 * (1+par[7]*G4Exp(par[8]*G4Log(Z))*Q/(1+Q));
233 } 218 }
234 219
235 //....oooOO0OOooo........oooOO0OOooo........oo 220 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
236 221
237 void << 222 void
238 G4BetheHeitler5DModel::SampleSecondaries(std:: 223 G4BetheHeitler5DModel::SampleSecondaries(std::vector<G4DynamicParticle*>* fvect,
239 const 224 const G4MaterialCutsCouple* couple,
240 const 225 const G4DynamicParticle* aDynamicGamma,
241 G4dou 226 G4double, G4double)
242 { 227 {
243 // MeV 228 // MeV
244 static const G4double ElectronMass = CLHEP 229 static const G4double ElectronMass = CLHEP::electron_mass_c2;
245 << 230 static const G4double ElectronMass2 = ElectronMass*ElectronMass;
246 const G4double LeptonMass = fLepton1->GetPDG <<
247 const G4double LeptonMass2 = LeptonMass*Lep <<
248 <<
249 static const G4double alpha0 = CLHEP 231 static const G4double alpha0 = CLHEP::fine_structure_const;
250 // mm << 232 // mm
251 static const G4double r0 = CLHEP 233 static const G4double r0 = CLHEP::classic_electr_radius;
252 // mbarn 234 // mbarn
253 static const G4double r02 = r0*r0 235 static const G4double r02 = r0*r0*1.e+25;
254 static const G4double twoPi = CLHEP 236 static const G4double twoPi = CLHEP::twopi;
255 static const G4double factor = alpha 237 static const G4double factor = alpha0 * r02 / (twoPi*twoPi);
256 // static const G4double factor1 = p 238 // static const G4double factor1 = pow((6.0 * pi),(1.0/3.0))/(8.*alpha0*ElectronMass);
257 static const G4double factor1 = 2.661 239 static const G4double factor1 = 2.66134007899/(8.*alpha0*ElectronMass);
258 // 240 //
259 G4double PairInvMassMin = 2.*LeptonMass; << 241 static const G4double PairInvMassMin = 2.*ElectronMass;
260 G4double TrThreshold = 2.0 * ( (LeptonMass2 <<
261 <<
262 // 242 //
263 static const G4double nu[2][10] = { << 243 static const G4double nu[10] = { 0.0227436, 0.0582046, 3.0322675, 2.8275065,
264 //electron << 244 -0.0034004, 1.1212766, 1.8989468, 68.3492750,
265 { 0.0227436, 0.0582046, 3.0322675, 2.82750 << 245 0.0211186, 14.4 };
266 1.1212766, 1.8989468, 68.3492750, 0.0211 << 246 static const G4double tr[10] = { 0.0332350, 4.3942537, 2.8515925, 2.6351695,
267 //muon << 247 -0.0031510, 1.5737305, 1.8104647, 20.6434021,
268 {0.67810E-06, 0.86037E+05, 2.0008395, 1.67 << 248 -0.0272586, 28.9};
269 1.4222, 0.0, 263230.0, 0.0521, 51.1338} << 249 //
270 }; << 250 static const G4double para[3][2] = { {11., -16.},{-1.17, -2.95},{-2., -0.5} };
271 static const G4double tr[2][10] = { <<
272 //electron <<
273 { 0.0332350, 4.3942537, 2.8515925, 2.6351 <<
274 1.5737305, 1.8104647, 20.6434021, -0.027 <<
275 //muon <<
276 {0.10382E-03, 0.14408E+17, 4.1368679, 3.26 <<
277 0.0000, 0.0, 0.0, 0.0000, 1.0000} <<
278 }; <<
279 // <<
280 static const G4double para[2][3][2] = { <<
281 //electron <<
282 { {11., -16.},{-1.17, -2.95},{-2., -0.5} } <<
283 //muon <<
284 { {17.5, 1.},{-1.17, -2.95},{2., 6.} } <<
285 }; <<
286 // 251 //
287 static const G4double correctionIndex = 1.4; 252 static const G4double correctionIndex = 1.4;
288 // 253 //
289 const G4double GammaEnergy = aDynamicGamma- 254 const G4double GammaEnergy = aDynamicGamma->GetKineticEnergy();
290 // Protection, Will not be true tot cross se <<
291 if ( GammaEnergy <= PairInvMassMin) { return <<
292 <<
293 const G4double GammaEnergy2 = GammaEnergy*Ga 255 const G4double GammaEnergy2 = GammaEnergy*GammaEnergy;
294 << 256 // Will not be true tot cross section = 0
295 //////////////////////////////////////////// << 257 if ( GammaEnergy <= 2.0*ElectronMass) { return; }
296 const G4ParticleMomentum GammaDirection = << 258 //
297 aDynamicGamma->GetMomentumDirection(); << 259 const G4ParticleMomentum GammaDirection = aDynamicGamma->GetMomentumDirection();
298 G4ThreeVector GammaPolarization = aDynamicGa 260 G4ThreeVector GammaPolarization = aDynamicGamma->GetPolarization();
299 261
300 // The protection polarization perpendicular 262 // The protection polarization perpendicular to the direction vector,
301 // as it done in G4LivermorePolarizedGammaCo 263 // as it done in G4LivermorePolarizedGammaConversionModel,
302 // assuming Direction is unitary vector 264 // assuming Direction is unitary vector
303 // (projection to plane) p_proj = p - (p o 265 // (projection to plane) p_proj = p - (p o d)/(d o d) x d
304 if ( GammaPolarization.howOrthogonal(GammaDi 266 if ( GammaPolarization.howOrthogonal(GammaDirection) != 0) {
305 GammaPolarization -= GammaPolarization.dot 267 GammaPolarization -= GammaPolarization.dot(GammaDirection) * GammaDirection;
306 } 268 }
307 // End of Protection 269 // End of Protection
308 // 270 //
309 const G4double GammaPolarizationMag = GammaP 271 const G4double GammaPolarizationMag = GammaPolarization.mag();
310 <<
311 //////////////////////////////////////////// 272 //////////////////////////////////////////////////////////////
312 // target element 273 // target element
313 // select randomly one element constituting 274 // select randomly one element constituting the material
314 const G4Element* anElement = SelectTargetAt << 275 const G4Element* anElement = SelectRandomAtom(couple, fTheGamma, GammaEnergy);
315 aDyna <<
316 // Atomic number 276 // Atomic number
317 const G4int Z = anElement->GetZasInt() 277 const G4int Z = anElement->GetZasInt();
318 const G4int A = SelectIsotopeNumber(an 278 const G4int A = SelectIsotopeNumber(anElement);
319 const G4double iZ13 = 1./anElement->GetIonis 279 const G4double iZ13 = 1./anElement->GetIonisation()->GetZ3();
320 const G4double targetMass = G4NucleiProperti 280 const G4double targetMass = G4NucleiProperties::GetNuclearMass(A, Z);
321 281
322 const G4double NuThreshold = 2.0 * ( (Lept <<
323 // No conversion possible below nuclear thre <<
324 if ( GammaEnergy <= NuThreshold) { return; } <<
325 <<
326 CLHEP::HepRandomEngine* rndmEngine = G4Rando 282 CLHEP::HepRandomEngine* rndmEngine = G4Random::getTheEngine();
327 283
328 // itriplet : true -- triplet, false -- nucl 284 // itriplet : true -- triplet, false -- nuclear.
329 G4bool itriplet = false; 285 G4bool itriplet = false;
330 if (fConversionType == 1) { 286 if (fConversionType == 1) {
331 itriplet = false; 287 itriplet = false;
332 } else if (fConversionType == 2) { 288 } else if (fConversionType == 2) {
333 itriplet = true; 289 itriplet = true;
334 if ( GammaEnergy <= TrThreshold ) return; << 290 if ( GammaEnergy <= 4.0*ElectronMass ) return;
335 } else if ( GammaEnergy > TrThreshold ) { << 291 } else if ( GammaEnergy > 4.0*ElectronMass ) {
336 // choose triplet or nuclear from a triple 292 // choose triplet or nuclear from a triplet/nuclear=1/Z
337 // total cross section ratio. 293 // total cross section ratio.
338 // approximate at low energies ! 294 // approximate at low energies !
339 if(rndmEngine->flat()*(Z+1) < 1.) { 295 if(rndmEngine->flat()*(Z+1) < 1.) {
340 itriplet = true; 296 itriplet = true;
341 } 297 }
342 } 298 }
343 <<
344 // 299 //
345 const G4double RecoilMass = itriplet ? Elec 300 const G4double RecoilMass = itriplet ? ElectronMass : targetMass;
346 const G4double RecoilMass2 = RecoilMass*Reco 301 const G4double RecoilMass2 = RecoilMass*RecoilMass;
347 const G4double sCMS = 2.*RecoilMass*G 302 const G4double sCMS = 2.*RecoilMass*GammaEnergy + RecoilMass2;
348 const G4double sCMSPlusRM2 = sCMS + RecoilMa 303 const G4double sCMSPlusRM2 = sCMS + RecoilMass2;
349 const G4double sqrts = std::sqrt(sCMS) 304 const G4double sqrts = std::sqrt(sCMS);
350 const G4double isqrts2 = 1./(2.*sqrts); 305 const G4double isqrts2 = 1./(2.*sqrts);
351 // 306 //
352 const G4double PairInvMassMax = sqrts-Reco 307 const G4double PairInvMassMax = sqrts-RecoilMass;
353 const G4double PairInvMassRange = PairInvMas 308 const G4double PairInvMassRange = PairInvMassMax/PairInvMassMin;
354 const G4double lnPairInvMassRange = G4Log(Pa 309 const G4double lnPairInvMassRange = G4Log(PairInvMassRange);
355 310
356 // initial state. Defines z axis of "0" fram 311 // initial state. Defines z axis of "0" frame as along photon propagation.
357 // Since CMS(0., 0., GammaEnergy, GammaEnerg << 312 // create 4-vectors: gamma0 + target0 and CMS=gamma0+target0
358 const G4double betaCMS = G4LorentzVector(0.0 << 313 // Since CMS(0., 0., GammaEnergy, GammaEnergy+RecoilMass) set some constants
359 << 314 // for the special boost that makes use of the form of CMS 4-vector
>> 315 const G4double CMSqz = GammaEnergy;
>> 316 const G4double CMSt = GammaEnergy+RecoilMass;
>> 317 const G4double iCMSmass = 1./std::sqrt(RecoilMass*(RecoilMass+2.*GammaEnergy));
>> 318 const G4double CMSfact = (CMSt-1./iCMSmass)/(CMSqz*CMSqz);
360 // maximum value of pdf 319 // maximum value of pdf
361 const G4double EffectiveZ = iraw ? 0.5 : Z; 320 const G4double EffectiveZ = iraw ? 0.5 : Z;
362 const G4double Threshold = itriplet ? TrThr << 321 const G4double Threshold = itriplet ? 4.*ElectronMass : 2.*ElectronMass;
363 const G4double AvailableEnergy = GammaEne 322 const G4double AvailableEnergy = GammaEnergy - Threshold;
364 const G4double LogAvailableEnergy = G4Log(Av 323 const G4double LogAvailableEnergy = G4Log(AvailableEnergy);
365 // 324 //
366 const G4double MaxDiffCross = itriplet 325 const G4double MaxDiffCross = itriplet
367 ? MaxDiffCrossSection(tr[fConvMode], << 326 ? MaxDiffCrossSection(tr, EffectiveZ, AvailableEnergy, LogAvailableEnergy)
368 EffectiveZ, AvailableEnergy, LogAvaila << 327 : MaxDiffCrossSection(nu, EffectiveZ, AvailableEnergy, LogAvailableEnergy);
369 : MaxDiffCrossSection(nu[fConvMode], <<
370 EffectiveZ, AvailableEnergy, LogAva <<
371 // 328 //
372 // 50% safety marging factor 329 // 50% safety marging factor
373 const G4double ymax = 1.5 * MaxDiffCross; 330 const G4double ymax = 1.5 * MaxDiffCross;
374 // x1 bounds 331 // x1 bounds
375 const G4double xu1 = (LogAvailableEnergy > << 332 const G4double xu1 = (LogAvailableEnergy > para[2][0])
376 ? para[fConvMode][0][0] + << 333 ? para[0][0] + para[1][0]*LogAvailableEnergy
377 para[fConvMode][1][0]*LogAvailableEner << 334 : para[0][0] + para[2][0]*para[1][0];
378 : para[fConvMode][0][0] << 335 const G4double xl1 = (LogAvailableEnergy > para[2][1])
379 para[fConvMode][2][0]*para[fConvMode][ << 336 ? para[0][1] + para[1][1]*LogAvailableEnergy
380 const G4double xl1 = (LogAvailableEnergy > << 337 : para[0][1] + para[2][1]*para[1][1];
381 ? para[fConvMode][0][1] << 338 //
382 para[fConvMode][1][1]*LogAvailableEner << 339 G4LorentzVector Recoil0;
383 : para[fConvMode][0][1] << 340 G4LorentzVector Positron0;
384 para[fConvMode][2][1]*para[fConvMode][ << 341 G4LorentzVector Electron0;
385 // <<
386 G4LorentzVector Recoil; <<
387 G4LorentzVector LeptonPlus; <<
388 G4LorentzVector LeptonMinus; <<
389 G4double pdf = 0.; 342 G4double pdf = 0.;
390 <<
391 G4double rndmv6[6] = {0.0}; <<
392 const G4double corrFac = 1.0/(correctionInde <<
393 const G4double expLowLim = -20.; <<
394 const G4double logLowLim = G4Exp(expLowLim/c <<
395 G4double z0, z1, z2, x0, x1; <<
396 G4double betheheitler, sinTheta, cosTheta, d <<
397 // START Sampling 343 // START Sampling
398 do { 344 do {
399 << 345 //////////////////////////////////////////////////
400 rndmEngine->flatArray(6, rndmv6); <<
401 <<
402 ////////////////////////////////////////// <<
403 // pdf pow(x,c) with c = 1.4 346 // pdf pow(x,c) with c = 1.4
404 // integral y = pow(x,(c+1))/(c+1) @ x = 1 347 // integral y = pow(x,(c+1))/(c+1) @ x = 1 => y = 1 /(1+c)
405 // invCdf exp( log(y /* *( c + 1.0 )/ (c + 348 // invCdf exp( log(y /* *( c + 1.0 )/ (c + 1.0 ) */ ) /( c + 1.0) )
406 ////////////////////////////////////////// << 349 //////////////////////////////////////////////////
407 << 350 const G4double X1 =
408 z0 = (rndmv6[0] > logLowLim) ? G4Log(rndmv << 351 G4Exp(G4Log(rndmEngine->flat())/(correctionIndex + 1.0));
409 G4double X1 = (z0 > expLowLim) ? G4Exp(z0) << 352
410 z1 = xl1 + (xu1 - xl1)*rndmv6[1]; << 353 const G4double x0 = G4Exp(xl1 + (xu1 - xl1)*rndmEngine->flat());
411 if (z1 > expLowLim) { << 354 const G4double dum0 = 1./(1.+x0);
412 x0 = G4Exp(z1); << 355 const G4double cosTheta = (x0-1.)*dum0;
413 dum0 = 1.0/(1.0 + x0); << 356 const G4double sinTheta = std::sqrt(4.*x0)*dum0;
414 x1 = dum0*x0; << 357
415 cosTheta = -1.0 + 2.0*x1; << 358 const G4double PairInvMass = PairInvMassMin*G4Exp(X1*X1*lnPairInvMassRange);
416 sinTheta = 2*std::sqrt(x1*(1.0 - x1)); << 359
417 } else { << 360 G4double rndmv3[3];
418 x0 = 0.0; << 361 rndmEngine->flatArray(3, rndmv3);
419 dum0 = 1.0; << 362 //--------------------------------------------------------------------------
420 cosTheta = -1.0; << 363 // const G4double ThetaLept = pi*rndmv3[0];
421 sinTheta = 0.0; << 364 // const G4double cosThetaLept = std::cos(ThetaLept);
422 } << 365 // const G4double sinThetaLept = std::sin(ThetaLept);
423 << 366 //
424 z2 = X1*X1*lnPairInvMassRange; << 367 // const G4double PhiLept = twoPi*rndmv3[1]-pi;
425 const G4double PairInvMass = PairInvMassMi << 368 // const G4double cosPhiLept = std::cos(PhiLept);
426 << 369 // const G4double sinPhiLept = std::sin(PhiLept);
>> 370 //
>> 371 // const G4double Phi = twoPi*rndmv3[2]-pi;
>> 372 // const G4double cosPhi = std::cos(Phi);
>> 373 // const G4double sinPhi = std::sin(Phi);
>> 374 //---------------------------------------------------------------------------
427 // cos and sin theta-lepton 375 // cos and sin theta-lepton
428 const G4double cosThetaLept = std::cos(pi* << 376 const G4double cosThetaLept = std::cos(pi*rndmv3[0]);
429 // sin(ThetaLept) is always in [0,+1] if T 377 // sin(ThetaLept) is always in [0,+1] if ThetaLept is in [0,pi]
430 const G4double sinThetaLept = std::sqrt((1 << 378 const G4double sinThetaLept = std::sqrt((1.-cosThetaLept)*(1.+cosThetaLept));
431 // cos and sin phi-lepton 379 // cos and sin phi-lepton
432 const G4double cosPhiLept = std::cos(two << 380 const G4double cosPhiLept = std::cos(twoPi*rndmv3[1]-pi);
433 // sin(PhiLept) is in [-1,0] if PhiLept in 381 // sin(PhiLept) is in [-1,0] if PhiLept in [-pi,0) and
434 // is in [0,+1] if PhiLept in 382 // is in [0,+1] if PhiLept in [0,+pi]
435 const G4double sinPhiLept = std::copysig << 383 const G4double sinPhiLept = std::copysign(std::sqrt((1.-cosPhiLept)*(1.+cosPhiLept)),rndmv3[1]-0.5);
436 // cos and sin phi 384 // cos and sin phi
437 const G4double cosPhi = std::cos(two << 385 const G4double cosPhi = std::cos(twoPi*rndmv3[2]-pi);
438 const G4double sinPhi = std::copysig << 386 const G4double sinPhi = std::copysign(std::sqrt((1.-cosPhi)*(1.+cosPhi)),rndmv3[2]-0.5);
439 387
440 ////////////////////////////////////////// <<
441 // frames: 388 // frames:
442 // 3 : the laboratory Lorentz frame, Geant <<
443 // 0 : the laboratory Lorentz frame, axes 389 // 0 : the laboratory Lorentz frame, axes along photon direction and polarisation
444 // 1 : the center-of-mass Lorentz frame 390 // 1 : the center-of-mass Lorentz frame
445 // 2 : the pair Lorentz frame 391 // 2 : the pair Lorentz frame
446 ////////////////////////////////////////// << 392 // 3 : the laboratory Lorentz frame, Geant4 axes definition
447 393
448 // in the center-of-mass frame 394 // in the center-of-mass frame
449 <<
450 const G4double RecEnergyCMS = (sCMSPlusRM 395 const G4double RecEnergyCMS = (sCMSPlusRM2-PairInvMass*PairInvMass)*isqrts2;
451 const G4double LeptonEnergy2 = PairInvMass 396 const G4double LeptonEnergy2 = PairInvMass*0.5;
452 << 397 // Denis ** correction
453 // New way of calucaltion thePRecoil to av << 398 // const G4double thePRecoil = std::sqrt( (RecEnergyCMS-RecoilMass)
454 G4double abp = std::max((2.0*GammaEnergy*R << 399 // *(RecEnergyCMS+RecoilMass));
455 PairInvMass*PairInvMass + 2.0*PairI << 400 const G4double ap1 = 2.0*GammaEnergy*RecoilMass -
456 (2.0*GammaEnergy*R << 401 PairInvMass*PairInvMass + 2.0*PairInvMass*RecoilMass;
457 PairInvMass*PairInvMass - 2.0*PairI << 402 const G4double bp1 = 2.0*GammaEnergy*RecoilMass -
458 << 403 PairInvMass*PairInvMass - 2.0*PairInvMass*RecoilMass;
459 G4double thePRecoil = std::sqrt(abp) * isq << 404
>> 405 if (bp1 <= 0.0 ) {
>> 406 if ( fVerbose > 3 ) {
>> 407 G4cout
>> 408 << "G4BetheHeitler5DModel::SampleSecondaries Warning bp1 "
>> 409 << bp1 << "point rejected" << G4endl
>> 410 << "GammaEnergy " << GammaEnergy << G4endl
>> 411 << "PairInvMass " << PairInvMass << G4endl;
>> 412 }
>> 413 pdf = -1.0; // force next iteration
>> 414 continue;
>> 415 }
>> 416 const G4double thePRecoil = std::sqrt(ap1 * bp1) * isqrts2;
>> 417 // Denis ** correction
460 418
461 // back to the center-of-mass frame 419 // back to the center-of-mass frame
462 Recoil.set( thePRecoil*sinTheta*cosPhi, << 420 const G4LorentzVector Recoil1( thePRecoil*sinTheta*cosPhi,
463 thePRecoil*sinTheta*sinPhi, 421 thePRecoil*sinTheta*sinPhi,
464 thePRecoil*cosTheta, 422 thePRecoil*cosTheta,
465 RecEnergyCMS); 423 RecEnergyCMS);
466 424
467 // in the pair frame << 425 const G4LorentzVector Pair1(-Recoil1.x(),
468 const G4double thePLepton = std::sqrt( << 426 -Recoil1.y(),
469 * << 427 -Recoil1.z(),
>> 428 sqrts-RecEnergyCMS);
470 429
471 LeptonPlus.set(thePLepton*sinThetaLept*cos << 430 // in the pair frame
472 thePLepton*sinThetaLept*sinPhiLept, << 431 const G4double thePLepton = std::sqrt( (LeptonEnergy2-ElectronMass)
473 thePLepton*cosThetaLept, << 432 *(LeptonEnergy2+ElectronMass));
474 LeptonEnergy2); << 433
475 << 434 const G4LorentzVector Positron2( thePLepton*sinThetaLept*cosPhiLept,
476 LeptonMinus.set(-LeptonPlus.x(), << 435 thePLepton*sinThetaLept*sinPhiLept,
477 -LeptonPlus.y(), << 436 thePLepton*cosThetaLept,
478 -LeptonPlus.z(), << 437 LeptonEnergy2);
479 LeptonEnergy2); << 438
>> 439 const G4LorentzVector Electron2(-Positron2.x(),
>> 440 -Positron2.y(),
>> 441 -Positron2.z(),
>> 442 LeptonEnergy2);
480 443
481 444
482 // Normalisation of final state phase spac 445 // Normalisation of final state phase space:
483 // Section 47 of Particle Data Group, Chin 446 // Section 47 of Particle Data Group, Chin. Phys. C, 40, 100001 (2016)
484 // const G4double Norme = Recoil1.vect( << 447 const G4double Norme = Recoil1.vect().mag() * Positron2.vect().mag();
485 const G4double Norme = Recoil.vect().mag() << 448 //
486 << 449 G4LorentzVector Positron1;
487 // e+, e- to CMS frame from pair frame << 450 G4LorentzVector Electron1;
488 << 451 BoostG4LorentzVector(Positron2, Pair1, Positron1);
489 // boost vector from Pair to CMS << 452 BoostG4LorentzVector(Electron2, Pair1, Electron1);
490 const G4ThreeVector pair2cms = << 453
491 G4LorentzVector( -Recoil.x(), -Recoil.y(), <<
492 sqrts-RecEnergyCMS).boostVector(); <<
493 <<
494 LeptonPlus.boost(pair2cms); <<
495 LeptonMinus.boost(pair2cms); <<
496 <<
497 // back to the laboratory frame (make use 454 // back to the laboratory frame (make use of the CMS(0,0,Eg,Eg+RM)) form
498 << 455 Recoil0.setX(Recoil1.x());
499 Recoil.boostZ(betaCMS); << 456 Recoil0.setY(Recoil1.y());
500 LeptonPlus.boostZ(betaCMS); << 457 BoostG4LorentzVector(Recoil1 , CMSqz, CMSt, CMSfact, iCMSmass, Recoil0);
501 LeptonMinus.boostZ(betaCMS); << 458
>> 459 Positron0.setX(Positron1.x());
>> 460 Positron0.setY(Positron1.y());
>> 461 BoostG4LorentzVector(Positron1, CMSqz, CMSt, CMSfact, iCMSmass, Positron0);
>> 462
>> 463 Electron0.setX(Electron1.x());
>> 464 Electron0.setY(Electron1.y());
>> 465 BoostG4LorentzVector(Electron1, CMSqz, CMSt, CMSfact, iCMSmass, Electron0);
502 466
503 // Jacobian factors 467 // Jacobian factors
504 const G4double Jacob0 = x0*dum0*dum0; 468 const G4double Jacob0 = x0*dum0*dum0;
505 const G4double Jacob1 = 2.*X1*lnPairInvMas 469 const G4double Jacob1 = 2.*X1*lnPairInvMassRange*PairInvMass;
506 const G4double Jacob2 = std::abs(sinThetaL 470 const G4double Jacob2 = std::abs(sinThetaLept);
507 471
508 // there is no probability to have a lepto << 472 const G4double EPlus = Positron0.t();
509 // X and Y components of momentum may be z << 473 const G4double PPlus = Positron0.vect().mag();
510 const G4double EPlus = LeptonPlus.t(); << 474 const G4double sinThetaPlus = Positron0.vect().perp()/PPlus;
511 const G4double PPlus = LeptonPlus.vect().m << 475 const G4double cosThetaPlus = Positron0.vect().cosTheta();
512 const G4double pPX = LeptonPlus.x(); << 476
513 const G4double pPY = LeptonPlus.y(); << 477 const G4double pPX = Positron0.x();
514 const G4double pPZ = LeptonPlus.z(); << 478 const G4double pPY = Positron0.y();
515 G4double sinPhiPlus = 1.0; << 479 const G4double dum1 = 1./std::sqrt( pPX*pPX + pPY*pPY );
516 G4double cosPhiPlus = 0.0; << 480 const G4double cosPhiPlus = pPX*dum1;
517 G4double sinThetaPlus = 0.0; << 481 const G4double sinPhiPlus = pPY*dum1;
518 G4double cosThetaPlus = pPZ/PPlus; <<
519 if (cosThetaPlus < 1.0 && cosThetaPlus > - <<
520 sinThetaPlus = std::sqrt((1.0 - cosTheta <<
521 sinPhiPlus = pPY/(PPlus*sinThetaPlus); <<
522 cosPhiPlus = pPX/(PPlus*sinThetaPlus); <<
523 } <<
524 482
525 // denominators: 483 // denominators:
526 // the two cancelling leading terms for fo 484 // the two cancelling leading terms for forward emission at high energy, removed
527 const G4double elMassCTP = LeptonMass*cosT << 485 const G4double elMassCTP = ElectronMass*cosThetaPlus;
528 const G4double ePlusSTP = EPlus*sinThetaP << 486 const G4double ePlusSTP = EPlus*sinThetaPlus;
529 const G4double DPlus = (elMassCTP*elMa 487 const G4double DPlus = (elMassCTP*elMassCTP + ePlusSTP*ePlusSTP)
530 /(EPlus + PPlus* 488 /(EPlus + PPlus*cosThetaPlus);
531 489
532 // there is no probability to have a lepto << 490 const G4double EMinus = Electron0.t();
533 // X and Y components of momentum may be z << 491 const G4double PMinus = Electron0.vect().mag();
534 const G4double EMinus = LeptonMinus.t(); << 492 const G4double sinThetaMinus = Electron0.vect().perp()/PMinus;
535 const G4double PMinus = LeptonMinus.vect() << 493 const G4double cosThetaMinus = Electron0.vect().cosTheta();
536 const G4double ePX = LeptonMinus.x(); << 494
537 const G4double ePY = LeptonMinus.y(); << 495 const G4double ePX = Electron0.x();
538 const G4double ePZ = LeptonMinus.z(); << 496 const G4double ePY = Electron0.y();
539 G4double sinPhiMinus = 0.0; << 497 const G4double dum2 = 1./std::sqrt( ePX*ePX + ePY*ePY );
540 G4double cosPhiMinus = 1.0; << 498 const G4double cosPhiMinus = ePX*dum2;
541 G4double sinThetaMinus = 0.0; << 499 const G4double sinPhiMinus = ePY*dum2;
542 G4double cosThetaMinus = ePZ/PMinus; << 500
543 if (cosThetaMinus < 1.0 && cosThetaMinus > << 501 const G4double elMassCTM = ElectronMass*cosThetaMinus;
544 sinThetaMinus = std::sqrt((1.0 - cosThet << 502 const G4double eMinSTM = EMinus*sinThetaMinus;
545 sinPhiMinus = ePY/(PMinus*sinThetaMinus) << 503 const G4double DMinus = (elMassCTM*elMassCTM + eMinSTM*eMinSTM)
546 cosPhiMinus = ePX/(PMinus*sinThetaMinus) <<
547 } <<
548 <<
549 const G4double elMassCTM = LeptonMass*cosT <<
550 const G4double eMinSTM = EMinus*sinTheta <<
551 const G4double DMinus = (elMassCTM*elMa <<
552 /(EMinus + PMinu 504 /(EMinus + PMinus*cosThetaMinus);
553 505
554 // cos(phiMinus-PhiPlus) 506 // cos(phiMinus-PhiPlus)
555 const G4double cosdPhi = cosPhiPlus*cosPhi 507 const G4double cosdPhi = cosPhiPlus*cosPhiMinus + sinPhiPlus*sinPhiMinus;
556 const G4double PRec = Recoil.vect().mag << 508 const G4double PRec = Recoil0.vect().mag();
557 const G4double q2 = PRec*PRec; 509 const G4double q2 = PRec*PRec;
558 << 510 const G4double BigPhi = -ElectronMass2 / (GammaEnergy*GammaEnergy2 * q2*q2);
559 const G4double BigPhi = -LeptonMass2 / (G <<
560 511
561 G4double FormFactor = 1.; 512 G4double FormFactor = 1.;
562 if (!iraw) { 513 if (!iraw) {
563 if (itriplet) { 514 if (itriplet) {
564 const G4double qun = factor1*iZ13*iZ13; 515 const G4double qun = factor1*iZ13*iZ13;
565 const G4double nun = qun * PRec; 516 const G4double nun = qun * PRec;
566 if (nun < 1.) { 517 if (nun < 1.) {
567 FormFactor = (nun < 0.01) ? (13.8-5 << 518 FormFactor = (nun < 0.01) ? (13.8-55.4*std::sqrt(nun))*nun
568 : std::sq << 519 : std::sqrt(1-(nun-1)*(nun-1));
569 } // else FormFactor = 1 by default 520 } // else FormFactor = 1 by default
570 } else { 521 } else {
571 const G4double dum3 = 217.*PRec*iZ13; 522 const G4double dum3 = 217.*PRec*iZ13;
572 const G4double AFF = 1./(1. + dum3*dum3); 523 const G4double AFF = 1./(1. + dum3*dum3);
573 FormFactor = (1.-AFF)*(1-AFF); 524 FormFactor = (1.-AFF)*(1-AFF);
574 } 525 }
575 } // else FormFactor = 1 by default 526 } // else FormFactor = 1 by default
576 527
>> 528 G4double betheheitler;
577 if (GammaPolarizationMag==0.) { 529 if (GammaPolarizationMag==0.) {
578 const G4double pPlusSTP = PPlus*sinThe 530 const G4double pPlusSTP = PPlus*sinThetaPlus;
579 const G4double pMinusSTM = PMinus*sinTh 531 const G4double pMinusSTM = PMinus*sinThetaMinus;
580 const G4double pPlusSTPperDP = pPlusSTP 532 const G4double pPlusSTPperDP = pPlusSTP/DPlus;
581 const G4double pMinusSTMperDM = pMinusST 533 const G4double pMinusSTMperDM = pMinusSTM/DMinus;
582 const G4double dunpol = BigPhi*( << 534 const G4double dunpol = BigPhi*(
583 pPlusSTPperDP *pPlusSTPperDP 535 pPlusSTPperDP *pPlusSTPperDP *(4.*EMinus*EMinus-q2)
584 + pMinusSTMperDM*pMinusSTMperD 536 + pMinusSTMperDM*pMinusSTMperDM*(4.*EPlus*EPlus - q2)
585 + 2.*pPlusSTPperDP*pMinusSTMpe 537 + 2.*pPlusSTPperDP*pMinusSTMperDM*cosdPhi
586 *(4.*EPlus*EMinus + q2 - 2 538 *(4.*EPlus*EMinus + q2 - 2.*GammaEnergy2)
587 - 2.*GammaEnergy2*(pPlusSTP*pP 539 - 2.*GammaEnergy2*(pPlusSTP*pPlusSTP+pMinusSTM*pMinusSTM)/(DMinus*DPlus));
588 betheheitler = dunpol * factor; 540 betheheitler = dunpol * factor;
589 } else { 541 } else {
590 const G4double pPlusSTP = PPlus*sinThet 542 const G4double pPlusSTP = PPlus*sinThetaPlus;
591 const G4double pMinusSTM = PMinus*sinThe 543 const G4double pMinusSTM = PMinus*sinThetaMinus;
592 const G4double pPlusSTPCPPperDP = pPlus 544 const G4double pPlusSTPCPPperDP = pPlusSTP*cosPhiPlus/DPlus;
593 const G4double pMinusSTMCPMperDM = pMinu 545 const G4double pMinusSTMCPMperDM = pMinusSTM*cosPhiMinus/DMinus;
594 const G4double caa = 2.*(EPlus*pMinusSTM 546 const G4double caa = 2.*(EPlus*pMinusSTMCPMperDM+EMinus*pPlusSTPCPPperDP);
595 const G4double cbb = pMinusSTMCPMperDM-p 547 const G4double cbb = pMinusSTMCPMperDM-pPlusSTPCPPperDP;
596 const G4double ccc = (pPlusSTP*pPlusSTP << 548 const G4double ccc = (pPlusSTP*pPlusSTP + pMinusSTM*pMinusSTM
597 +2.*pPlusSTP*pMinusS 549 +2.*pPlusSTP*pMinusSTM*cosdPhi)/ (DMinus*DPlus);
598 const G4double dtot= 2.*BigPhi*( caa*caa 550 const G4double dtot= 2.*BigPhi*( caa*caa - q2*cbb*cbb - GammaEnergy2*ccc);
599 betheheitler = dtot * factor; 551 betheheitler = dtot * factor;
600 } 552 }
601 // 553 //
602 const G4double cross = Norme * Jacob0 * J << 554 const G4double cross = Norme * Jacob0 * Jacob1 * Jacob2 * betheheitler
603 * FormFactor * Recoi 555 * FormFactor * RecoilMass / sqrts;
604 pdf = cross * (xu1 - xl1) / G4Exp(correcti 556 pdf = cross * (xu1 - xl1) / G4Exp(correctionIndex*G4Log(X1)); // cond1;
605 } while ( pdf < ymax * rndmv6[5] ); << 557 } while ( pdf < ymax * rndmEngine->flat() );
606 // END of Sampling 558 // END of Sampling
607 << 559
608 if ( fVerbose > 2 ) { 560 if ( fVerbose > 2 ) {
609 G4double recul = std::sqrt(Recoil.x()*Reco << 561 G4double recul = std::sqrt(Recoil0.x()*Recoil0.x()+Recoil0.y()*Recoil0.y()
610 +Recoil.z()*Reco << 562 +Recoil0.z()*Recoil0.z());
611 G4cout << "BetheHeitler5DModel GammaEnergy 563 G4cout << "BetheHeitler5DModel GammaEnergy= " << GammaEnergy
612 << " PDF= " << pdf << " ymax= " << ymax << 564 << " PDF= " << pdf << " ymax= " << ymax
613 << " recul= " << recul << G4endl; 565 << " recul= " << recul << G4endl;
614 } 566 }
615 << 567
616 // back to Geant4 system 568 // back to Geant4 system
617 569
618 if ( fVerbose > 4 ) { 570 if ( fVerbose > 4 ) {
619 G4cout << "BetheHeitler5DModel GammaDirect 571 G4cout << "BetheHeitler5DModel GammaDirection " << GammaDirection << G4endl;
620 G4cout << "BetheHeitler5DModel GammaPolari 572 G4cout << "BetheHeitler5DModel GammaPolarization " << GammaPolarization << G4endl;
621 G4cout << "BetheHeitler5DModel GammaEnergy 573 G4cout << "BetheHeitler5DModel GammaEnergy " << GammaEnergy << G4endl;
622 G4cout << "BetheHeitler5DModel Conv " 574 G4cout << "BetheHeitler5DModel Conv "
623 << (itriplet ? "triplet" : "nucl") << G4e 575 << (itriplet ? "triplet" : "nucl") << G4endl;
624 } 576 }
625 577
626 if (GammaPolarizationMag == 0.0) { 578 if (GammaPolarizationMag == 0.0) {
627 // set polarization axis orthohonal to dir 579 // set polarization axis orthohonal to direction
628 GammaPolarization = GammaDirection.orthogo 580 GammaPolarization = GammaDirection.orthogonal().unit();
629 } else { 581 } else {
630 // GammaPolarization not a unit vector 582 // GammaPolarization not a unit vector
631 GammaPolarization /= GammaPolarizationMag; 583 GammaPolarization /= GammaPolarizationMag;
632 } 584 }
633 585
634 // The unit norm vector that is orthogonal t 586 // The unit norm vector that is orthogonal to the two others
635 G4ThreeVector yGrec = GammaDirection.cross(G 587 G4ThreeVector yGrec = GammaDirection.cross(GammaPolarization);
636 << 588 // rotation
637 // rotation from gamma ref. sys. to World << 589 G4ThreeVector Rot = Recoil0.x()*GammaPolarization + Recoil0.y()*yGrec
638 G4RotationMatrix GtoW(GammaPolarization,yGre << 590 + Recoil0.z()*GammaDirection;
639 << 591 Recoil0.setVect(Rot);
640 Recoil.transform(GtoW); << 592 Rot = Positron0.x()*GammaPolarization + Positron0.y()*yGrec
641 LeptonPlus.transform(GtoW); << 593 + Positron0.z()*GammaDirection;
642 LeptonMinus.transform(GtoW); << 594 Positron0.setVect(Rot);
643 << 595 Rot = Electron0.x()*GammaPolarization + Electron0.y()*yGrec
>> 596 + Electron0.z()*GammaDirection;
>> 597 Electron0.setVect(Rot);
>> 598 //
644 if ( fVerbose > 2 ) { 599 if ( fVerbose > 2 ) {
645 G4cout << "BetheHeitler5DModel Recoil " << << 600 G4cout << "BetheHeitler5DModel Recoil0 " << Recoil0.x() << " " << Recoil0.y() << " " << Recoil0.z()
646 << " " << Recoil.t() << " " << G4endl; << 601 << " " << Recoil0.t() << " " << G4endl;
647 G4cout << "BetheHeitler5DModel LeptonPlus << 602 G4cout << "BetheHeitler5DModel Positron0 " << Positron0.x() << " " << Positron0.y() << " "
648 << LeptonPlus.z() << " " << LeptonPlus.t( << 603 << Positron0.z() << " " << Positron0.t() << " " << G4endl;
649 G4cout << "BetheHeitler5DModel LeptonMinus << 604 G4cout << "BetheHeitler5DModel Electron0 " << Electron0.x() << " " << Electron0.y() << " "
650 << LeptonMinus.z() << " " << LeptonMinus. << 605 << Electron0.z() << " " << Electron0.t() << " " << G4endl;
651 } 606 }
652 << 607
653 // Create secondaries 608 // Create secondaries
654 auto aParticle1 = new G4DynamicParticle(fLep << 609
655 auto aParticle2 = new G4DynamicParticle(fLep << 610 // electron
656 << 611 G4DynamicParticle* aParticle1 = new G4DynamicParticle(fTheElectron,Electron0);
>> 612 // positron
>> 613 G4DynamicParticle* aParticle2 = new G4DynamicParticle(fThePositron,Positron0);
657 // create G4DynamicParticle object for the p 614 // create G4DynamicParticle object for the particle3 ( recoil )
658 G4ParticleDefinition* RecoilPart; 615 G4ParticleDefinition* RecoilPart;
659 if (itriplet) { 616 if (itriplet) {
660 // triplet 617 // triplet
661 RecoilPart = fTheElectron; 618 RecoilPart = fTheElectron;
662 } else{ 619 } else{
663 RecoilPart = theIonTable->GetIon(Z, A, 0); 620 RecoilPart = theIonTable->GetIon(Z, A, 0);
664 } 621 }
665 auto aParticle3 = new G4DynamicParticle(Reco << 622 G4DynamicParticle* aParticle3 = new G4DynamicParticle(RecoilPart,Recoil0);
666 << 623
667 // Fill output vector 624 // Fill output vector
668 fvect->push_back(aParticle1); 625 fvect->push_back(aParticle1);
669 fvect->push_back(aParticle2); 626 fvect->push_back(aParticle2);
670 fvect->push_back(aParticle3); 627 fvect->push_back(aParticle3);
671 628
672 // kill incident photon 629 // kill incident photon
673 fParticleChange->SetProposedKineticEnergy(0. 630 fParticleChange->SetProposedKineticEnergy(0.);
674 fParticleChange->ProposeTrackStatus(fStopAnd 631 fParticleChange->ProposeTrackStatus(fStopAndKill);
675 } 632 }
676 633
677 //....oooOO0OOooo........oooOO0OOooo........oo 634 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
678 635