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25 // 25 //
26 // 26 //
27 // 27 //
28 // Physics model class G4NuclNuclDiffuseElasti 28 // Physics model class G4NuclNuclDiffuseElastic
29 // 29 //
30 // 30 //
31 // G4 Model: optical diffuse elastic scatterin 31 // G4 Model: optical diffuse elastic scattering with 4-momentum balance
32 // 32 //
33 // 24-May-07 V. Grichine 33 // 24-May-07 V. Grichine
34 // 34 //
35 35
36 #include "G4NuclNuclDiffuseElastic.hh" 36 #include "G4NuclNuclDiffuseElastic.hh"
37 #include "G4ParticleTable.hh" 37 #include "G4ParticleTable.hh"
38 #include "G4ParticleDefinition.hh" 38 #include "G4ParticleDefinition.hh"
39 #include "G4IonTable.hh" 39 #include "G4IonTable.hh"
40 #include "G4NucleiProperties.hh" 40 #include "G4NucleiProperties.hh"
41 41
42 #include "Randomize.hh" 42 #include "Randomize.hh"
43 #include "G4Integrator.hh" 43 #include "G4Integrator.hh"
44 #include "globals.hh" 44 #include "globals.hh"
45 #include "G4PhysicalConstants.hh" 45 #include "G4PhysicalConstants.hh"
46 #include "G4SystemOfUnits.hh" 46 #include "G4SystemOfUnits.hh"
47 47
48 #include "G4Proton.hh" 48 #include "G4Proton.hh"
49 #include "G4Neutron.hh" 49 #include "G4Neutron.hh"
50 #include "G4Deuteron.hh" 50 #include "G4Deuteron.hh"
51 #include "G4Alpha.hh" 51 #include "G4Alpha.hh"
52 #include "G4PionPlus.hh" 52 #include "G4PionPlus.hh"
53 #include "G4PionMinus.hh" 53 #include "G4PionMinus.hh"
54 54
55 #include "G4Element.hh" 55 #include "G4Element.hh"
56 #include "G4ElementTable.hh" 56 #include "G4ElementTable.hh"
57 #include "G4NistManager.hh" 57 #include "G4NistManager.hh"
58 #include "G4PhysicsTable.hh" 58 #include "G4PhysicsTable.hh"
59 #include "G4PhysicsLogVector.hh" 59 #include "G4PhysicsLogVector.hh"
60 #include "G4PhysicsFreeVector.hh" 60 #include "G4PhysicsFreeVector.hh"
61 #include "G4HadronicParameters.hh" 61 #include "G4HadronicParameters.hh"
62 62
63 ////////////////////////////////////////////// 63 /////////////////////////////////////////////////////////////////////////
64 // 64 //
65 // Test Constructor. Just to check xsc 65 // Test Constructor. Just to check xsc
66 66
67 67
68 G4NuclNuclDiffuseElastic::G4NuclNuclDiffuseEla 68 G4NuclNuclDiffuseElastic::G4NuclNuclDiffuseElastic()
69 : G4HadronElastic("NNDiffuseElastic"), fPart 69 : G4HadronElastic("NNDiffuseElastic"), fParticle(0)
70 { 70 {
71 SetMinEnergy( 50*MeV ); 71 SetMinEnergy( 50*MeV );
72 SetMaxEnergy( G4HadronicParameters::Instance 72 SetMaxEnergy( G4HadronicParameters::Instance()->GetMaxEnergy() );
73 verboseLevel = 0; 73 verboseLevel = 0;
74 lowEnergyRecoilLimit = 100.*keV; 74 lowEnergyRecoilLimit = 100.*keV;
75 lowEnergyLimitQ = 0.0*GeV; 75 lowEnergyLimitQ = 0.0*GeV;
76 lowEnergyLimitHE = 0.0*GeV; 76 lowEnergyLimitHE = 0.0*GeV;
77 lowestEnergyLimit= 0.0*keV; 77 lowestEnergyLimit= 0.0*keV;
78 plabLowLimit = 20.0*MeV; 78 plabLowLimit = 20.0*MeV;
79 79
80 theProton = G4Proton::Proton(); 80 theProton = G4Proton::Proton();
81 theNeutron = G4Neutron::Neutron(); 81 theNeutron = G4Neutron::Neutron();
82 theDeuteron = G4Deuteron::Deuteron(); 82 theDeuteron = G4Deuteron::Deuteron();
83 theAlpha = G4Alpha::Alpha(); 83 theAlpha = G4Alpha::Alpha();
84 thePionPlus = G4PionPlus::PionPlus(); 84 thePionPlus = G4PionPlus::PionPlus();
85 thePionMinus= G4PionMinus::PionMinus(); 85 thePionMinus= G4PionMinus::PionMinus();
86 86
87 fEnergyBin = 300; // Increased from the ori 87 fEnergyBin = 300; // Increased from the original 200 to have no wider log-energy-bins up to 10 PeV
88 fAngleBin = 200; 88 fAngleBin = 200;
89 89
90 fEnergyVector = new G4PhysicsLogVector( the 90 fEnergyVector = new G4PhysicsLogVector( theMinEnergy, theMaxEnergy, fEnergyBin );
91 fAngleTable = 0; 91 fAngleTable = 0;
92 92
93 fParticle = 0; 93 fParticle = 0;
94 fWaveVector = 0.; 94 fWaveVector = 0.;
95 fAtomicWeight = 0.; 95 fAtomicWeight = 0.;
96 fAtomicNumber = 0.; 96 fAtomicNumber = 0.;
97 fNuclearRadius = 0.; 97 fNuclearRadius = 0.;
98 fBeta = 0.; 98 fBeta = 0.;
99 fZommerfeld = 0.; 99 fZommerfeld = 0.;
100 fAm = 0.; 100 fAm = 0.;
101 fAddCoulomb = false; 101 fAddCoulomb = false;
102 // Ranges of angle table relative to current 102 // Ranges of angle table relative to current Rutherford (Coulomb grazing) angle
103 103
104 // Empirical parameters 104 // Empirical parameters
105 105
106 fCofAlphaMax = 1.5; 106 fCofAlphaMax = 1.5;
107 fCofAlphaCoulomb = 0.5; 107 fCofAlphaCoulomb = 0.5;
108 108
109 fProfileDelta = 1.; 109 fProfileDelta = 1.;
110 fProfileAlpha = 0.5; 110 fProfileAlpha = 0.5;
111 111
112 fCofLambda = 1.0; 112 fCofLambda = 1.0;
113 fCofDelta = 0.04; 113 fCofDelta = 0.04;
114 fCofAlpha = 0.095; 114 fCofAlpha = 0.095;
115 115
116 fNuclearRadius1 = fNuclearRadius2 = fNuclear 116 fNuclearRadius1 = fNuclearRadius2 = fNuclearRadiusSquare
117 = fRutherfordRatio = fCoulombPhase0 = fHal 117 = fRutherfordRatio = fCoulombPhase0 = fHalfRutThetaTg = fHalfRutThetaTg2
118 = fRutherfordTheta = fProfileLambda = fCof 118 = fRutherfordTheta = fProfileLambda = fCofPhase = fCofFar
119 = fSumSigma = fEtaRatio = fReZ = 0.0; 119 = fSumSigma = fEtaRatio = fReZ = 0.0;
120 fMaxL = 0; 120 fMaxL = 0;
121 121
122 fNuclearRadiusCof = 1.0; 122 fNuclearRadiusCof = 1.0;
123 fCoulombMuC = 0.0; 123 fCoulombMuC = 0.0;
124 } 124 }
125 125
126 ////////////////////////////////////////////// 126 //////////////////////////////////////////////////////////////////////////////
127 // 127 //
128 // Destructor 128 // Destructor
129 129
130 G4NuclNuclDiffuseElastic::~G4NuclNuclDiffuseEl 130 G4NuclNuclDiffuseElastic::~G4NuclNuclDiffuseElastic()
131 { 131 {
132 if ( fEnergyVector ) { 132 if ( fEnergyVector ) {
133 delete fEnergyVector; 133 delete fEnergyVector;
134 fEnergyVector = 0; 134 fEnergyVector = 0;
135 } 135 }
136 136
137 for ( std::vector<G4PhysicsTable*>::iterator 137 for ( std::vector<G4PhysicsTable*>::iterator it = fAngleBank.begin();
138 it != fAngleBank.end(); ++it ) { 138 it != fAngleBank.end(); ++it ) {
139 if ( (*it) ) (*it)->clearAndDestroy(); 139 if ( (*it) ) (*it)->clearAndDestroy();
140 delete *it; 140 delete *it;
141 *it = 0; 141 *it = 0;
142 } 142 }
143 fAngleTable = 0; 143 fAngleTable = 0;
144 } 144 }
145 145
146 ////////////////////////////////////////////// 146 //////////////////////////////////////////////////////////////////////////////
147 // 147 //
148 // Initialisation for given particle using ele 148 // Initialisation for given particle using element table of application
149 149
150 void G4NuclNuclDiffuseElastic::Initialise() 150 void G4NuclNuclDiffuseElastic::Initialise()
151 { 151 {
152 152
153 // fEnergyVector = new G4PhysicsLogVector( t 153 // fEnergyVector = new G4PhysicsLogVector( theMinEnergy, theMaxEnergy, fEnergyBin );
154 154
155 const G4ElementTable* theElementTable = G4El 155 const G4ElementTable* theElementTable = G4Element::GetElementTable();
156 std::size_t jEl, numOfEl = G4Element::GetNum << 156 size_t jEl, numOfEl = G4Element::GetNumberOfElements();
157 157
158 // projectile radius 158 // projectile radius
159 159
160 G4double A1 = G4double( fParticle->GetBaryon 160 G4double A1 = G4double( fParticle->GetBaryonNumber() );
161 G4double R1 = CalculateNuclearRad(A1); 161 G4double R1 = CalculateNuclearRad(A1);
162 162
163 for(jEl = 0 ; jEl < numOfEl; ++jEl) // appli 163 for(jEl = 0 ; jEl < numOfEl; ++jEl) // application element loop
164 { 164 {
165 fAtomicNumber = (*theElementTable)[jEl]->G 165 fAtomicNumber = (*theElementTable)[jEl]->GetZ(); // atomic number
166 fAtomicWeight = G4NistManager::Instance()- 166 fAtomicWeight = G4NistManager::Instance()->GetAtomicMassAmu( static_cast< G4int >( fAtomicNumber ) );
167 167
168 fNuclearRadius = CalculateNuclearRad(fAtom 168 fNuclearRadius = CalculateNuclearRad(fAtomicWeight);
169 fNuclearRadius += R1; 169 fNuclearRadius += R1;
170 170
171 if(verboseLevel > 0) 171 if(verboseLevel > 0)
172 { 172 {
173 G4cout<<"G4NuclNuclDiffuseElastic::Initi 173 G4cout<<"G4NuclNuclDiffuseElastic::Initialise() the element: "
174 <<(*theElementTable)[jEl]->GetName()<<G4 174 <<(*theElementTable)[jEl]->GetName()<<G4endl;
175 } 175 }
176 fElementNumberVector.push_back(fAtomicNumb 176 fElementNumberVector.push_back(fAtomicNumber);
177 fElementNameVector.push_back((*theElementT 177 fElementNameVector.push_back((*theElementTable)[jEl]->GetName());
178 178
179 BuildAngleTable(); 179 BuildAngleTable();
180 fAngleBank.push_back(fAngleTable); 180 fAngleBank.push_back(fAngleTable);
181 } 181 }
182 } 182 }
183 183
184 184
185 ////////////////////////////////////////////// 185 ////////////////////////////////////////////////////////////////////////////
186 // 186 //
187 // return differential elastic cross section d 187 // return differential elastic cross section d(sigma)/d(omega)
188 188
189 G4double 189 G4double
190 G4NuclNuclDiffuseElastic::GetDiffuseElasticXsc 190 G4NuclNuclDiffuseElastic::GetDiffuseElasticXsc( const G4ParticleDefinition* particle,
191 G4doub 191 G4double theta,
192 G4double momentum, 192 G4double momentum,
193 G4doub 193 G4double A )
194 { 194 {
195 fParticle = particle; 195 fParticle = particle;
196 fWaveVector = momentum/hbarc; 196 fWaveVector = momentum/hbarc;
197 fAtomicWeight = A; 197 fAtomicWeight = A;
198 fAddCoulomb = false; 198 fAddCoulomb = false;
199 fNuclearRadius = CalculateNuclearRad(A); 199 fNuclearRadius = CalculateNuclearRad(A);
200 200
201 G4double sigma = fNuclearRadius*fNuclearRadi 201 G4double sigma = fNuclearRadius*fNuclearRadius*GetDiffElasticProb(theta);
202 202
203 return sigma; 203 return sigma;
204 } 204 }
205 205
206 ////////////////////////////////////////////// 206 ////////////////////////////////////////////////////////////////////////////
207 // 207 //
208 // return invariant differential elastic cross 208 // return invariant differential elastic cross section d(sigma)/d(tMand)
209 209
210 G4double 210 G4double
211 G4NuclNuclDiffuseElastic::GetInvElasticXsc( co 211 G4NuclNuclDiffuseElastic::GetInvElasticXsc( const G4ParticleDefinition* particle,
212 G4doub 212 G4double tMand,
213 G4double plab, 213 G4double plab,
214 G4doub 214 G4double A, G4double Z )
215 { 215 {
216 G4double m1 = particle->GetPDGMass(); 216 G4double m1 = particle->GetPDGMass();
217 G4LorentzVector lv1(0.,0.,plab,std::sqrt(pla 217 G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1));
218 218
219 G4int iZ = static_cast<G4int>(Z+0.5); 219 G4int iZ = static_cast<G4int>(Z+0.5);
220 G4int iA = static_cast<G4int>(A+0.5); 220 G4int iA = static_cast<G4int>(A+0.5);
221 G4ParticleDefinition * theDef = 0; 221 G4ParticleDefinition * theDef = 0;
222 222
223 if (iZ == 1 && iA == 1) theDef = thePro 223 if (iZ == 1 && iA == 1) theDef = theProton;
224 else if (iZ == 1 && iA == 2) theDef = theDeu 224 else if (iZ == 1 && iA == 2) theDef = theDeuteron;
225 else if (iZ == 1 && iA == 3) theDef = G4Trit 225 else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton();
226 else if (iZ == 2 && iA == 3) theDef = G4He3: 226 else if (iZ == 2 && iA == 3) theDef = G4He3::He3();
227 else if (iZ == 2 && iA == 4) theDef = theAlp 227 else if (iZ == 2 && iA == 4) theDef = theAlpha;
228 else theDef = G4ParticleTable::GetParticleTa 228 else theDef = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(iZ,iA,0);
229 229
230 G4double tmass = theDef->GetPDGMass(); 230 G4double tmass = theDef->GetPDGMass();
231 231
232 G4LorentzVector lv(0.0,0.0,0.0,tmass); 232 G4LorentzVector lv(0.0,0.0,0.0,tmass);
233 lv += lv1; 233 lv += lv1;
234 234
235 G4ThreeVector bst = lv.boostVector(); 235 G4ThreeVector bst = lv.boostVector();
236 lv1.boost(-bst); 236 lv1.boost(-bst);
237 237
238 G4ThreeVector p1 = lv1.vect(); 238 G4ThreeVector p1 = lv1.vect();
239 G4double ptot = p1.mag(); 239 G4double ptot = p1.mag();
240 G4double ptot2 = ptot*ptot; 240 G4double ptot2 = ptot*ptot;
241 G4double cost = 1 - 0.5*std::fabs(tMand)/pto 241 G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2;
242 242
243 if( cost >= 1.0 ) cost = 1.0; 243 if( cost >= 1.0 ) cost = 1.0;
244 else if( cost <= -1.0) cost = -1.0; 244 else if( cost <= -1.0) cost = -1.0;
245 245
246 G4double thetaCMS = std::acos(cost); 246 G4double thetaCMS = std::acos(cost);
247 247
248 G4double sigma = GetDiffuseElasticXsc( parti 248 G4double sigma = GetDiffuseElasticXsc( particle, thetaCMS, ptot, A);
249 249
250 sigma *= pi/ptot2; 250 sigma *= pi/ptot2;
251 251
252 return sigma; 252 return sigma;
253 } 253 }
254 254
255 ////////////////////////////////////////////// 255 ////////////////////////////////////////////////////////////////////////////
256 // 256 //
257 // return differential elastic cross section d 257 // return differential elastic cross section d(sigma)/d(omega) with Coulomb
258 // correction 258 // correction
259 259
260 G4double 260 G4double
261 G4NuclNuclDiffuseElastic::GetDiffuseElasticSum 261 G4NuclNuclDiffuseElastic::GetDiffuseElasticSumXsc( const G4ParticleDefinition* particle,
262 G4doub 262 G4double theta,
263 G4double momentum, 263 G4double momentum,
264 G4doub 264 G4double A, G4double Z )
265 { 265 {
266 fParticle = particle; 266 fParticle = particle;
267 fWaveVector = momentum/hbarc; 267 fWaveVector = momentum/hbarc;
268 fAtomicWeight = A; 268 fAtomicWeight = A;
269 fAtomicNumber = Z; 269 fAtomicNumber = Z;
270 fNuclearRadius = CalculateNuclearRad(A); 270 fNuclearRadius = CalculateNuclearRad(A);
271 fAddCoulomb = false; 271 fAddCoulomb = false;
272 272
273 G4double z = particle->GetPDGCharge(); 273 G4double z = particle->GetPDGCharge();
274 274
275 G4double kRt = fWaveVector*fNuclearRadius* 275 G4double kRt = fWaveVector*fNuclearRadius*theta;
276 G4double kRtC = 1.9; 276 G4double kRtC = 1.9;
277 277
278 if( z && (kRt > kRtC) ) 278 if( z && (kRt > kRtC) )
279 { 279 {
280 fAddCoulomb = true; 280 fAddCoulomb = true;
281 fBeta = CalculateParticleBeta( parti 281 fBeta = CalculateParticleBeta( particle, momentum);
282 fZommerfeld = CalculateZommerfeld( fBeta, 282 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
283 fAm = CalculateAm( momentum, fZomm 283 fAm = CalculateAm( momentum, fZommerfeld, fAtomicNumber);
284 } 284 }
285 G4double sigma = fNuclearRadius*fNuclearRadi 285 G4double sigma = fNuclearRadius*fNuclearRadius*GetDiffElasticSumProb(theta);
286 286
287 return sigma; 287 return sigma;
288 } 288 }
289 289
290 ////////////////////////////////////////////// 290 ////////////////////////////////////////////////////////////////////////////
291 // 291 //
292 // return invariant differential elastic cross 292 // return invariant differential elastic cross section d(sigma)/d(tMand) with Coulomb
293 // correction 293 // correction
294 294
295 G4double 295 G4double
296 G4NuclNuclDiffuseElastic::GetInvElasticSumXsc( 296 G4NuclNuclDiffuseElastic::GetInvElasticSumXsc( const G4ParticleDefinition* particle,
297 G4doub 297 G4double tMand,
298 G4double plab, 298 G4double plab,
299 G4doub 299 G4double A, G4double Z )
300 { 300 {
301 G4double m1 = particle->GetPDGMass(); 301 G4double m1 = particle->GetPDGMass();
302 302
303 G4LorentzVector lv1(0.,0.,plab,std::sqrt(pla 303 G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1));
304 304
305 G4int iZ = static_cast<G4int>(Z+0.5); 305 G4int iZ = static_cast<G4int>(Z+0.5);
306 G4int iA = static_cast<G4int>(A+0.5); 306 G4int iA = static_cast<G4int>(A+0.5);
307 307
308 G4ParticleDefinition* theDef = 0; 308 G4ParticleDefinition* theDef = 0;
309 309
310 if (iZ == 1 && iA == 1) theDef = thePro 310 if (iZ == 1 && iA == 1) theDef = theProton;
311 else if (iZ == 1 && iA == 2) theDef = theDeu 311 else if (iZ == 1 && iA == 2) theDef = theDeuteron;
312 else if (iZ == 1 && iA == 3) theDef = G4Trit 312 else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton();
313 else if (iZ == 2 && iA == 3) theDef = G4He3: 313 else if (iZ == 2 && iA == 3) theDef = G4He3::He3();
314 else if (iZ == 2 && iA == 4) theDef = theAlp 314 else if (iZ == 2 && iA == 4) theDef = theAlpha;
315 else theDef = G4ParticleTable::GetParticleTa 315 else theDef = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(iZ,iA,0);
316 316
317 G4double tmass = theDef->GetPDGMass(); 317 G4double tmass = theDef->GetPDGMass();
318 318
319 G4LorentzVector lv(0.0,0.0,0.0,tmass); 319 G4LorentzVector lv(0.0,0.0,0.0,tmass);
320 lv += lv1; 320 lv += lv1;
321 321
322 G4ThreeVector bst = lv.boostVector(); 322 G4ThreeVector bst = lv.boostVector();
323 lv1.boost(-bst); 323 lv1.boost(-bst);
324 324
325 G4ThreeVector p1 = lv1.vect(); 325 G4ThreeVector p1 = lv1.vect();
326 G4double ptot = p1.mag(); 326 G4double ptot = p1.mag();
327 G4double ptot2 = ptot*ptot; 327 G4double ptot2 = ptot*ptot;
328 G4double cost = 1 - 0.5*std::fabs(tMand)/ 328 G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2;
329 329
330 if( cost >= 1.0 ) cost = 1.0; 330 if( cost >= 1.0 ) cost = 1.0;
331 else if( cost <= -1.0) cost = -1.0; 331 else if( cost <= -1.0) cost = -1.0;
332 332
333 G4double thetaCMS = std::acos(cost); 333 G4double thetaCMS = std::acos(cost);
334 334
335 G4double sigma = GetDiffuseElasticSumXsc( pa 335 G4double sigma = GetDiffuseElasticSumXsc( particle, thetaCMS, ptot, A, Z );
336 336
337 sigma *= pi/ptot2; 337 sigma *= pi/ptot2;
338 338
339 return sigma; 339 return sigma;
340 } 340 }
341 341
342 ////////////////////////////////////////////// 342 ////////////////////////////////////////////////////////////////////////////
343 // 343 //
344 // return invariant differential elastic cross 344 // return invariant differential elastic cross section d(sigma)/d(tMand) with Coulomb
345 // correction 345 // correction
346 346
347 G4double 347 G4double
348 G4NuclNuclDiffuseElastic::GetInvCoulombElastic 348 G4NuclNuclDiffuseElastic::GetInvCoulombElasticXsc( const G4ParticleDefinition* particle,
349 G4doub 349 G4double tMand,
350 G4double plab, 350 G4double plab,
351 G4doub 351 G4double A, G4double Z )
352 { 352 {
353 G4double m1 = particle->GetPDGMass(); 353 G4double m1 = particle->GetPDGMass();
354 G4LorentzVector lv1(0.,0.,plab,std::sqrt(pla 354 G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1));
355 355
356 G4int iZ = static_cast<G4int>(Z+0.5); 356 G4int iZ = static_cast<G4int>(Z+0.5);
357 G4int iA = static_cast<G4int>(A+0.5); 357 G4int iA = static_cast<G4int>(A+0.5);
358 G4ParticleDefinition * theDef = 0; 358 G4ParticleDefinition * theDef = 0;
359 359
360 if (iZ == 1 && iA == 1) theDef = thePro 360 if (iZ == 1 && iA == 1) theDef = theProton;
361 else if (iZ == 1 && iA == 2) theDef = theDeu 361 else if (iZ == 1 && iA == 2) theDef = theDeuteron;
362 else if (iZ == 1 && iA == 3) theDef = G4Trit 362 else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton();
363 else if (iZ == 2 && iA == 3) theDef = G4He3: 363 else if (iZ == 2 && iA == 3) theDef = G4He3::He3();
364 else if (iZ == 2 && iA == 4) theDef = theAlp 364 else if (iZ == 2 && iA == 4) theDef = theAlpha;
365 else theDef = G4ParticleTable::GetParticleTa 365 else theDef = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(iZ,iA,0);
366 366
367 G4double tmass = theDef->GetPDGMass(); 367 G4double tmass = theDef->GetPDGMass();
368 368
369 G4LorentzVector lv(0.0,0.0,0.0,tmass); 369 G4LorentzVector lv(0.0,0.0,0.0,tmass);
370 lv += lv1; 370 lv += lv1;
371 371
372 G4ThreeVector bst = lv.boostVector(); 372 G4ThreeVector bst = lv.boostVector();
373 lv1.boost(-bst); 373 lv1.boost(-bst);
374 374
375 G4ThreeVector p1 = lv1.vect(); 375 G4ThreeVector p1 = lv1.vect();
376 G4double ptot = p1.mag(); 376 G4double ptot = p1.mag();
377 G4double ptot2 = ptot*ptot; 377 G4double ptot2 = ptot*ptot;
378 G4double cost = 1 - 0.5*std::fabs(tMand)/pto 378 G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2;
379 379
380 if( cost >= 1.0 ) cost = 1.0; 380 if( cost >= 1.0 ) cost = 1.0;
381 else if( cost <= -1.0) cost = -1.0; 381 else if( cost <= -1.0) cost = -1.0;
382 382
383 G4double thetaCMS = std::acos(cost); 383 G4double thetaCMS = std::acos(cost);
384 384
385 G4double sigma = GetCoulombElasticXsc( parti 385 G4double sigma = GetCoulombElasticXsc( particle, thetaCMS, ptot, Z );
386 386
387 sigma *= pi/ptot2; 387 sigma *= pi/ptot2;
388 388
389 return sigma; 389 return sigma;
390 } 390 }
391 391
392 ////////////////////////////////////////////// 392 ////////////////////////////////////////////////////////////////////////////
393 // 393 //
394 // return differential elastic probability d(p 394 // return differential elastic probability d(probability)/d(omega)
395 395
396 G4double 396 G4double
397 G4NuclNuclDiffuseElastic::GetDiffElasticProb( 397 G4NuclNuclDiffuseElastic::GetDiffElasticProb( // G4ParticleDefinition* particle,
398 G4doub 398 G4double theta
399 // G4double momentum, 399 // G4double momentum,
400 // G4double A 400 // G4double A
401 ) 401 )
402 { 402 {
403 G4double sigma, bzero, bzero2, bonebyarg, bo 403 G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2;
404 G4double delta, diffuse, gamma; 404 G4double delta, diffuse, gamma;
405 G4double e1, e2, bone, bone2; 405 G4double e1, e2, bone, bone2;
406 406
407 // G4double wavek = momentum/hbarc; // wave 407 // G4double wavek = momentum/hbarc; // wave vector
408 // G4double r0 = 1.08*fermi; 408 // G4double r0 = 1.08*fermi;
409 // G4double rad = r0*G4Pow::GetInstance()- 409 // G4double rad = r0*G4Pow::GetInstance()->A13(A);
410 410
411 G4double kr = fWaveVector*fNuclearRadius; 411 G4double kr = fWaveVector*fNuclearRadius; // wavek*rad;
412 G4double kr2 = kr*kr; 412 G4double kr2 = kr*kr;
413 G4double krt = kr*theta; 413 G4double krt = kr*theta;
414 414
415 bzero = BesselJzero(krt); 415 bzero = BesselJzero(krt);
416 bzero2 = bzero*bzero; 416 bzero2 = bzero*bzero;
417 bone = BesselJone(krt); 417 bone = BesselJone(krt);
418 bone2 = bone*bone; 418 bone2 = bone*bone;
419 bonebyarg = BesselOneByArg(krt); 419 bonebyarg = BesselOneByArg(krt);
420 bonebyarg2 = bonebyarg*bonebyarg; 420 bonebyarg2 = bonebyarg*bonebyarg;
421 421
422 // VI - Coverity complains 422 // VI - Coverity complains
423 /* 423 /*
424 if (fParticle == theProton) 424 if (fParticle == theProton)
425 { 425 {
426 diffuse = 0.63*fermi; 426 diffuse = 0.63*fermi;
427 gamma = 0.3*fermi; 427 gamma = 0.3*fermi;
428 delta = 0.1*fermi*fermi; 428 delta = 0.1*fermi*fermi;
429 e1 = 0.3*fermi; 429 e1 = 0.3*fermi;
430 e2 = 0.35*fermi; 430 e2 = 0.35*fermi;
431 } 431 }
432 else // as proton, if were not defined 432 else // as proton, if were not defined
433 { 433 {
434 */ 434 */
435 diffuse = 0.63*fermi; 435 diffuse = 0.63*fermi;
436 gamma = 0.3*fermi; 436 gamma = 0.3*fermi;
437 delta = 0.1*fermi*fermi; 437 delta = 0.1*fermi*fermi;
438 e1 = 0.3*fermi; 438 e1 = 0.3*fermi;
439 e2 = 0.35*fermi; 439 e2 = 0.35*fermi;
440 //} 440 //}
441 G4double lambda = 15.; // 15 ok 441 G4double lambda = 15.; // 15 ok
442 442
443 // G4double kgamma = fWaveVector*gamma; 443 // G4double kgamma = fWaveVector*gamma; // wavek*delta;
444 444
445 G4double kgamma = lambda*(1.-G4Exp(-fWave 445 G4double kgamma = lambda*(1.-G4Exp(-fWaveVector*gamma/lambda)); // wavek*delta;
446 G4double kgamma2 = kgamma*kgamma; 446 G4double kgamma2 = kgamma*kgamma;
447 447
448 // G4double dk2t = delta*fWaveVector*fWaveV 448 // G4double dk2t = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta;
449 // G4double dk2t2 = dk2t*dk2t; 449 // G4double dk2t2 = dk2t*dk2t;
450 // G4double pikdt = pi*fWaveVector*diffuse*t 450 // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta;
451 451
452 G4double pikdt = lambda*(1.-G4Exp(-pi*fWa 452 G4double pikdt = lambda*(1.-G4Exp(-pi*fWaveVector*diffuse*theta/lambda)); // wavek*delta;
453 453
454 damp = DampFactor(pikdt); 454 damp = DampFactor(pikdt);
455 damp2 = damp*damp; 455 damp2 = damp*damp;
456 456
457 G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector 457 G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector;
458 G4double e2dk3t = -2.*e2*delta*fWaveVector* 458 G4double e2dk3t = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta;
459 459
460 460
461 sigma = kgamma2; 461 sigma = kgamma2;
462 // sigma += dk2t2; 462 // sigma += dk2t2;
463 sigma *= bzero2; 463 sigma *= bzero2;
464 sigma += mode2k2*bone2 + e2dk3t*bzero*bone; 464 sigma += mode2k2*bone2 + e2dk3t*bzero*bone;
465 sigma += kr2*bonebyarg2; 465 sigma += kr2*bonebyarg2;
466 sigma *= damp2; // *rad*rad; 466 sigma *= damp2; // *rad*rad;
467 467
468 return sigma; 468 return sigma;
469 } 469 }
470 470
471 ////////////////////////////////////////////// 471 ////////////////////////////////////////////////////////////////////////////
472 // 472 //
473 // return differential elastic probability d(p 473 // return differential elastic probability d(probability)/d(omega) with
474 // Coulomb correction 474 // Coulomb correction
475 475
476 G4double 476 G4double
477 G4NuclNuclDiffuseElastic::GetDiffElasticSumPro 477 G4NuclNuclDiffuseElastic::GetDiffElasticSumProb( // G4ParticleDefinition* particle,
478 G4doub 478 G4double theta
479 // G4double momentum, 479 // G4double momentum,
480 // G4double A 480 // G4double A
481 ) 481 )
482 { 482 {
483 G4double sigma, bzero, bzero2, bonebyarg, bo 483 G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2;
484 G4double delta, diffuse, gamma; 484 G4double delta, diffuse, gamma;
485 G4double e1, e2, bone, bone2; 485 G4double e1, e2, bone, bone2;
486 486
487 // G4double wavek = momentum/hbarc; // wave 487 // G4double wavek = momentum/hbarc; // wave vector
488 // G4double r0 = 1.08*fermi; 488 // G4double r0 = 1.08*fermi;
489 // G4double rad = r0*G4Pow::GetInstance()- 489 // G4double rad = r0*G4Pow::GetInstance()->A13(A);
490 490
491 G4double kr = fWaveVector*fNuclearRadius; 491 G4double kr = fWaveVector*fNuclearRadius; // wavek*rad;
492 G4double kr2 = kr*kr; 492 G4double kr2 = kr*kr;
493 G4double krt = kr*theta; 493 G4double krt = kr*theta;
494 494
495 bzero = BesselJzero(krt); 495 bzero = BesselJzero(krt);
496 bzero2 = bzero*bzero; 496 bzero2 = bzero*bzero;
497 bone = BesselJone(krt); 497 bone = BesselJone(krt);
498 bone2 = bone*bone; 498 bone2 = bone*bone;
499 bonebyarg = BesselOneByArg(krt); 499 bonebyarg = BesselOneByArg(krt);
500 bonebyarg2 = bonebyarg*bonebyarg; 500 bonebyarg2 = bonebyarg*bonebyarg;
501 501
502 if (fParticle == theProton) 502 if (fParticle == theProton)
503 { 503 {
504 diffuse = 0.63*fermi; 504 diffuse = 0.63*fermi;
505 // diffuse = 0.6*fermi; 505 // diffuse = 0.6*fermi;
506 gamma = 0.3*fermi; 506 gamma = 0.3*fermi;
507 delta = 0.1*fermi*fermi; 507 delta = 0.1*fermi*fermi;
508 e1 = 0.3*fermi; 508 e1 = 0.3*fermi;
509 e2 = 0.35*fermi; 509 e2 = 0.35*fermi;
510 } 510 }
511 else // as proton, if were not defined 511 else // as proton, if were not defined
512 { 512 {
513 diffuse = 0.63*fermi; 513 diffuse = 0.63*fermi;
514 gamma = 0.3*fermi; 514 gamma = 0.3*fermi;
515 delta = 0.1*fermi*fermi; 515 delta = 0.1*fermi*fermi;
516 e1 = 0.3*fermi; 516 e1 = 0.3*fermi;
517 e2 = 0.35*fermi; 517 e2 = 0.35*fermi;
518 } 518 }
519 G4double lambda = 15.; // 15 ok 519 G4double lambda = 15.; // 15 ok
520 // G4double kgamma = fWaveVector*gamma; 520 // G4double kgamma = fWaveVector*gamma; // wavek*delta;
521 G4double kgamma = lambda*(1.-G4Exp(-fWave 521 G4double kgamma = lambda*(1.-G4Exp(-fWaveVector*gamma/lambda)); // wavek*delta;
522 522
523 // G4cout<<"kgamma = "<<kgamma<<G4endl; 523 // G4cout<<"kgamma = "<<kgamma<<G4endl;
524 524
525 if(fAddCoulomb) // add Coulomb correction 525 if(fAddCoulomb) // add Coulomb correction
526 { 526 {
527 G4double sinHalfTheta = std::sin(0.5*thet 527 G4double sinHalfTheta = std::sin(0.5*theta);
528 G4double sinHalfTheta2 = sinHalfTheta*sinH 528 G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta;
529 529
530 kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta 530 kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
531 // kgamma += 0.65*fZommerfeld/kr/(sinHalfThe 531 // kgamma += 0.65*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
532 } 532 }
533 533
534 G4double kgamma2 = kgamma*kgamma; 534 G4double kgamma2 = kgamma*kgamma;
535 535
536 // G4double dk2t = delta*fWaveVector*fWaveV 536 // G4double dk2t = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta;
537 // G4cout<<"dk2t = "<<dk2t<<G4endl; 537 // G4cout<<"dk2t = "<<dk2t<<G4endl;
538 // G4double dk2t2 = dk2t*dk2t; 538 // G4double dk2t2 = dk2t*dk2t;
539 // G4double pikdt = pi*fWaveVector*diffuse*t 539 // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta;
540 540
541 G4double pikdt = lambda*(1.-G4Exp(-pi*fWa 541 G4double pikdt = lambda*(1.-G4Exp(-pi*fWaveVector*diffuse*theta/lambda)); // wavek*delta;
542 542
543 // G4cout<<"pikdt = "<<pikdt<<G4endl; 543 // G4cout<<"pikdt = "<<pikdt<<G4endl;
544 544
545 damp = DampFactor(pikdt); 545 damp = DampFactor(pikdt);
546 damp2 = damp*damp; 546 damp2 = damp*damp;
547 547
548 G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector 548 G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector;
549 G4double e2dk3t = -2.*e2*delta*fWaveVector* 549 G4double e2dk3t = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta;
550 550
551 sigma = kgamma2; 551 sigma = kgamma2;
552 // sigma += dk2t2; 552 // sigma += dk2t2;
553 sigma *= bzero2; 553 sigma *= bzero2;
554 sigma += mode2k2*bone2; 554 sigma += mode2k2*bone2;
555 sigma += e2dk3t*bzero*bone; 555 sigma += e2dk3t*bzero*bone;
556 556
557 // sigma += kr2*(1 + 8.*fZommerfeld*fZommerf 557 // sigma += kr2*(1 + 8.*fZommerfeld*fZommerfeld/kr2)*bonebyarg2; // correction at J1()/()
558 sigma += kr2*bonebyarg2; // correction at J 558 sigma += kr2*bonebyarg2; // correction at J1()/()
559 559
560 sigma *= damp2; // *rad*rad; 560 sigma *= damp2; // *rad*rad;
561 561
562 return sigma; 562 return sigma;
563 } 563 }
564 564
565 565
566 ////////////////////////////////////////////// 566 ////////////////////////////////////////////////////////////////////////////
567 // 567 //
568 // return differential elastic probability d(p 568 // return differential elastic probability d(probability)/d(t) with
569 // Coulomb correction 569 // Coulomb correction
570 570
571 G4double 571 G4double
572 G4NuclNuclDiffuseElastic::GetDiffElasticSumPro 572 G4NuclNuclDiffuseElastic::GetDiffElasticSumProbA( G4double alpha )
573 { 573 {
574 G4double theta; 574 G4double theta;
575 575
576 theta = std::sqrt(alpha); 576 theta = std::sqrt(alpha);
577 577
578 // theta = std::acos( 1 - alpha/2. ); 578 // theta = std::acos( 1 - alpha/2. );
579 579
580 G4double sigma, bzero, bzero2, bonebyarg, bo 580 G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2;
581 G4double delta, diffuse, gamma; 581 G4double delta, diffuse, gamma;
582 G4double e1, e2, bone, bone2; 582 G4double e1, e2, bone, bone2;
583 583
584 // G4double wavek = momentum/hbarc; // wave 584 // G4double wavek = momentum/hbarc; // wave vector
585 // G4double r0 = 1.08*fermi; 585 // G4double r0 = 1.08*fermi;
586 // G4double rad = r0*G4Pow::GetInstance()- 586 // G4double rad = r0*G4Pow::GetInstance()->A13(A);
587 587
588 G4double kr = fWaveVector*fNuclearRadius; 588 G4double kr = fWaveVector*fNuclearRadius; // wavek*rad;
589 G4double kr2 = kr*kr; 589 G4double kr2 = kr*kr;
590 G4double krt = kr*theta; 590 G4double krt = kr*theta;
591 591
592 bzero = BesselJzero(krt); 592 bzero = BesselJzero(krt);
593 bzero2 = bzero*bzero; 593 bzero2 = bzero*bzero;
594 bone = BesselJone(krt); 594 bone = BesselJone(krt);
595 bone2 = bone*bone; 595 bone2 = bone*bone;
596 bonebyarg = BesselOneByArg(krt); 596 bonebyarg = BesselOneByArg(krt);
597 bonebyarg2 = bonebyarg*bonebyarg; 597 bonebyarg2 = bonebyarg*bonebyarg;
598 598
599 if (fParticle == theProton) 599 if (fParticle == theProton)
600 { 600 {
601 diffuse = 0.63*fermi; 601 diffuse = 0.63*fermi;
602 // diffuse = 0.6*fermi; 602 // diffuse = 0.6*fermi;
603 gamma = 0.3*fermi; 603 gamma = 0.3*fermi;
604 delta = 0.1*fermi*fermi; 604 delta = 0.1*fermi*fermi;
605 e1 = 0.3*fermi; 605 e1 = 0.3*fermi;
606 e2 = 0.35*fermi; 606 e2 = 0.35*fermi;
607 } 607 }
608 else // as proton, if were not defined 608 else // as proton, if were not defined
609 { 609 {
610 diffuse = 0.63*fermi; 610 diffuse = 0.63*fermi;
611 gamma = 0.3*fermi; 611 gamma = 0.3*fermi;
612 delta = 0.1*fermi*fermi; 612 delta = 0.1*fermi*fermi;
613 e1 = 0.3*fermi; 613 e1 = 0.3*fermi;
614 e2 = 0.35*fermi; 614 e2 = 0.35*fermi;
615 } 615 }
616 G4double lambda = 15.; // 15 ok 616 G4double lambda = 15.; // 15 ok
617 // G4double kgamma = fWaveVector*gamma; 617 // G4double kgamma = fWaveVector*gamma; // wavek*delta;
618 G4double kgamma = lambda*(1.-G4Exp(-fWave 618 G4double kgamma = lambda*(1.-G4Exp(-fWaveVector*gamma/lambda)); // wavek*delta;
619 619
620 // G4cout<<"kgamma = "<<kgamma<<G4endl; 620 // G4cout<<"kgamma = "<<kgamma<<G4endl;
621 621
622 if(fAddCoulomb) // add Coulomb correction 622 if(fAddCoulomb) // add Coulomb correction
623 { 623 {
624 G4double sinHalfTheta = theta*0.5; // std 624 G4double sinHalfTheta = theta*0.5; // std::sin(0.5*theta);
625 G4double sinHalfTheta2 = sinHalfTheta*sinH 625 G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta;
626 626
627 kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta 627 kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
628 // kgamma += 0.65*fZommerfeld/kr/(sinHalfThe 628 // kgamma += 0.65*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
629 } 629 }
630 630
631 G4double kgamma2 = kgamma*kgamma; 631 G4double kgamma2 = kgamma*kgamma;
632 632
633 // G4double dk2t = delta*fWaveVector*fWaveV 633 // G4double dk2t = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta;
634 // G4cout<<"dk2t = "<<dk2t<<G4endl; 634 // G4cout<<"dk2t = "<<dk2t<<G4endl;
635 // G4double dk2t2 = dk2t*dk2t; 635 // G4double dk2t2 = dk2t*dk2t;
636 // G4double pikdt = pi*fWaveVector*diffuse*t 636 // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta;
637 637
638 G4double pikdt = lambda*(1.-G4Exp(-pi*fWa 638 G4double pikdt = lambda*(1.-G4Exp(-pi*fWaveVector*diffuse*theta/lambda)); // wavek*delta;
639 639
640 // G4cout<<"pikdt = "<<pikdt<<G4endl; 640 // G4cout<<"pikdt = "<<pikdt<<G4endl;
641 641
642 damp = DampFactor(pikdt); 642 damp = DampFactor(pikdt);
643 damp2 = damp*damp; 643 damp2 = damp*damp;
644 644
645 G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector 645 G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector;
646 G4double e2dk3t = -2.*e2*delta*fWaveVector* 646 G4double e2dk3t = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta;
647 647
648 sigma = kgamma2; 648 sigma = kgamma2;
649 // sigma += dk2t2; 649 // sigma += dk2t2;
650 sigma *= bzero2; 650 sigma *= bzero2;
651 sigma += mode2k2*bone2; 651 sigma += mode2k2*bone2;
652 sigma += e2dk3t*bzero*bone; 652 sigma += e2dk3t*bzero*bone;
653 653
654 // sigma += kr2*(1 + 8.*fZommerfeld*fZommerf 654 // sigma += kr2*(1 + 8.*fZommerfeld*fZommerfeld/kr2)*bonebyarg2; // correction at J1()/()
655 sigma += kr2*bonebyarg2; // correction at J 655 sigma += kr2*bonebyarg2; // correction at J1()/()
656 656
657 sigma *= damp2; // *rad*rad; 657 sigma *= damp2; // *rad*rad;
658 658
659 return sigma; 659 return sigma;
660 } 660 }
661 661
662 662
663 ////////////////////////////////////////////// 663 ////////////////////////////////////////////////////////////////////////////
664 // 664 //
665 // return differential elastic probability 2*p 665 // return differential elastic probability 2*pi*sin(theta)*d(probability)/d(omega)
666 666
667 G4double 667 G4double
668 G4NuclNuclDiffuseElastic::GetIntegrandFunction 668 G4NuclNuclDiffuseElastic::GetIntegrandFunction( G4double alpha )
669 { 669 {
670 G4double result; 670 G4double result;
671 671
672 result = GetDiffElasticSumProbA(alpha); 672 result = GetDiffElasticSumProbA(alpha);
673 673
674 // result *= 2*pi*std::sin(theta); 674 // result *= 2*pi*std::sin(theta);
675 675
676 return result; 676 return result;
677 } 677 }
678 678
679 ////////////////////////////////////////////// 679 ////////////////////////////////////////////////////////////////////////////
680 // 680 //
681 // return integral elastic cross section d(sig 681 // return integral elastic cross section d(sigma)/d(omega) integrated 0 - theta
682 682
683 G4double 683 G4double
684 G4NuclNuclDiffuseElastic::IntegralElasticProb( 684 G4NuclNuclDiffuseElastic::IntegralElasticProb( const G4ParticleDefinition* particle,
685 G4doub 685 G4double theta,
686 G4double momentum, 686 G4double momentum,
687 G4doub 687 G4double A )
688 { 688 {
689 G4double result; 689 G4double result;
690 fParticle = particle; 690 fParticle = particle;
691 fWaveVector = momentum/hbarc; 691 fWaveVector = momentum/hbarc;
692 fAtomicWeight = A; 692 fAtomicWeight = A;
693 693
694 fNuclearRadius = CalculateNuclearRad(A); 694 fNuclearRadius = CalculateNuclearRad(A);
695 695
696 696
697 G4Integrator<G4NuclNuclDiffuseElastic,G4doub 697 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
698 698
699 // result = integral.Legendre10(this,&G4Nucl 699 // result = integral.Legendre10(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., theta );
700 result = integral.Legendre96(this,&G4NuclNuc 700 result = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., theta );
701 701
702 return result; 702 return result;
703 } 703 }
704 704
705 ////////////////////////////////////////////// 705 ////////////////////////////////////////////////////////////////////////////
706 // 706 //
707 // Return inv momentum transfer -t > 0 707 // Return inv momentum transfer -t > 0
708 708
709 G4double G4NuclNuclDiffuseElastic::SampleT( co 709 G4double G4NuclNuclDiffuseElastic::SampleT( const G4ParticleDefinition* aParticle,
710 G4double p, G4double A) 710 G4double p, G4double A)
711 { 711 {
712 G4double theta = SampleThetaCMS( aParticle, 712 G4double theta = SampleThetaCMS( aParticle, p, A); // sample theta in cms
713 G4double t = 2*p*p*( 1 - std::cos(theta) 713 G4double t = 2*p*p*( 1 - std::cos(theta) ); // -t !!!
714 return t; 714 return t;
715 } 715 }
716 716
717 ////////////////////////////////////////////// 717 ////////////////////////////////////////////////////////////////////////////
718 // 718 //
719 // Return scattering angle sampled in cms 719 // Return scattering angle sampled in cms
720 720
721 721
722 G4double 722 G4double
723 G4NuclNuclDiffuseElastic::SampleThetaCMS(const 723 G4NuclNuclDiffuseElastic::SampleThetaCMS(const G4ParticleDefinition* particle,
724 G4doubl 724 G4double momentum, G4double A)
725 { 725 {
726 G4int i, iMax = 100; 726 G4int i, iMax = 100;
727 G4double norm, theta1, theta2, thetaMax; << 727 G4double norm, result, theta1, theta2, thetaMax, sum = 0.;
728 G4double result = 0., sum = 0.; <<
729 728
730 fParticle = particle; 729 fParticle = particle;
731 fWaveVector = momentum/hbarc; 730 fWaveVector = momentum/hbarc;
732 fAtomicWeight = A; 731 fAtomicWeight = A;
733 732
734 fNuclearRadius = CalculateNuclearRad(A); 733 fNuclearRadius = CalculateNuclearRad(A);
735 734
736 thetaMax = 10.174/fWaveVector/fNuclearRadius 735 thetaMax = 10.174/fWaveVector/fNuclearRadius;
737 736
738 if (thetaMax > pi) thetaMax = pi; 737 if (thetaMax > pi) thetaMax = pi;
739 738
740 G4Integrator<G4NuclNuclDiffuseElastic,G4doub 739 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
741 740
742 // result = integral.Legendre10(this,&G4Nucl 741 // result = integral.Legendre10(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., theta );
743 norm = integral.Legendre96(this,&G4NuclNuclD 742 norm = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., thetaMax );
744 743
745 norm *= G4UniformRand(); 744 norm *= G4UniformRand();
746 745
747 for(i = 1; i <= iMax; i++) 746 for(i = 1; i <= iMax; i++)
748 { 747 {
749 theta1 = (i-1)*thetaMax/iMax; 748 theta1 = (i-1)*thetaMax/iMax;
750 theta2 = i*thetaMax/iMax; 749 theta2 = i*thetaMax/iMax;
751 sum += integral.Legendre10(this,&G4NuclN 750 sum += integral.Legendre10(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, theta1, theta2);
752 751
753 if ( sum >= norm ) 752 if ( sum >= norm )
754 { 753 {
755 result = 0.5*(theta1 + theta2); 754 result = 0.5*(theta1 + theta2);
756 break; 755 break;
757 } 756 }
758 } 757 }
759 if (i > iMax ) result = 0.5*(theta1 + theta2 758 if (i > iMax ) result = 0.5*(theta1 + theta2);
760 759
761 G4double sigma = pi*thetaMax/iMax; 760 G4double sigma = pi*thetaMax/iMax;
762 761
763 result += G4RandGauss::shoot(0.,sigma); 762 result += G4RandGauss::shoot(0.,sigma);
764 763
765 if(result < 0.) result = 0.; 764 if(result < 0.) result = 0.;
766 if(result > thetaMax) result = thetaMax; 765 if(result > thetaMax) result = thetaMax;
767 766
768 return result; 767 return result;
769 } 768 }
770 769
771 ////////////////////////////////////////////// 770 /////////////////////////////////////////////////////////////////////////////
772 ///////////////////// Table preparation and r 771 ///////////////////// Table preparation and reading ////////////////////////
773 772
774 ////////////////////////////////////////////// 773 ////////////////////////////////////////////////////////////////////////////
775 // 774 //
776 // Interface function. Return inv momentum tra 775 // Interface function. Return inv momentum transfer -t > 0 from initialisation table
777 776
778 G4double G4NuclNuclDiffuseElastic::SampleInvar 777 G4double G4NuclNuclDiffuseElastic::SampleInvariantT( const G4ParticleDefinition* aParticle, G4double p,
779 778 G4int Z, G4int A)
780 { 779 {
781 fParticle = aParticle; 780 fParticle = aParticle;
782 fAtomicNumber = G4double(Z); 781 fAtomicNumber = G4double(Z);
783 fAtomicWeight = G4double(A); 782 fAtomicWeight = G4double(A);
784 783
785 G4double t(0.), m1 = fParticle->GetPDGMass() 784 G4double t(0.), m1 = fParticle->GetPDGMass();
786 G4double totElab = std::sqrt(m1*m1+p*p); 785 G4double totElab = std::sqrt(m1*m1+p*p);
787 G4double mass2 = G4NucleiProperties::GetNucl 786 G4double mass2 = G4NucleiProperties::GetNuclearMass(A, Z);
788 G4LorentzVector lv1(p,0.0,0.0,totElab); 787 G4LorentzVector lv1(p,0.0,0.0,totElab);
789 G4LorentzVector lv(0.0,0.0,0.0,mass2); 788 G4LorentzVector lv(0.0,0.0,0.0,mass2);
790 lv += lv1; 789 lv += lv1;
791 790
792 G4ThreeVector bst = lv.boostVector(); 791 G4ThreeVector bst = lv.boostVector();
793 lv1.boost(-bst); 792 lv1.boost(-bst);
794 793
795 G4ThreeVector p1 = lv1.vect(); 794 G4ThreeVector p1 = lv1.vect();
796 G4double momentumCMS = p1.mag(); 795 G4double momentumCMS = p1.mag();
797 796
798 // t = SampleTableT( aParticle, momentumCMS 797 // t = SampleTableT( aParticle, momentumCMS, G4double(Z), G4double(A) ); // sample theta2 in cms
799 798
800 t = SampleCoulombMuCMS( aParticle, momentum 799 t = SampleCoulombMuCMS( aParticle, momentumCMS); // sample theta2 in cms
801 800
802 801
803 return t; 802 return t;
804 } 803 }
805 804
806 ////////////////////////////////////////////// 805 ////////////////////////////////////////////////////////////////////////////
807 // 806 //
808 // Return inv momentum transfer -t > 0 as Coul 807 // Return inv momentum transfer -t > 0 as Coulomb scattering <= thetaC
809 808
810 G4double G4NuclNuclDiffuseElastic::SampleCoulo 809 G4double G4NuclNuclDiffuseElastic::SampleCoulombMuCMS( const G4ParticleDefinition* aParticle, G4double p)
811 { 810 {
812 G4double t(0.), rand(0.), mu(0.); 811 G4double t(0.), rand(0.), mu(0.);
813 812
814 G4double A1 = G4double( aParticle->GetBaryon 813 G4double A1 = G4double( aParticle->GetBaryonNumber() );
815 G4double R1 = CalculateNuclearRad(A1); 814 G4double R1 = CalculateNuclearRad(A1);
816 815
817 fNuclearRadius = CalculateNuclearRad(fAtomi 816 fNuclearRadius = CalculateNuclearRad(fAtomicWeight);
818 fNuclearRadius += R1; 817 fNuclearRadius += R1;
819 818
820 InitDynParameters(fParticle, p); 819 InitDynParameters(fParticle, p);
821 820
822 fCoulombMuC = fHalfRutThetaTg2/(1.+fHalfRutT 821 fCoulombMuC = fHalfRutThetaTg2/(1.+fHalfRutThetaTg2);
823 822
824 rand = G4UniformRand(); 823 rand = G4UniformRand();
825 824
826 // sample (1-cosTheta) in 0 < Theta < ThetaC 825 // sample (1-cosTheta) in 0 < Theta < ThetaC as Coulomb scattering
827 826
828 mu = fCoulombMuC*rand*fAm; 827 mu = fCoulombMuC*rand*fAm;
829 mu /= fAm + fCoulombMuC*( 1. - rand ); 828 mu /= fAm + fCoulombMuC*( 1. - rand );
830 829
831 t = 4.*p*p*mu; 830 t = 4.*p*p*mu;
832 831
833 return t; 832 return t;
834 } 833 }
835 834
836 835
837 ////////////////////////////////////////////// 836 ////////////////////////////////////////////////////////////////////////////
838 // 837 //
839 // Return inv momentum transfer -t > 0 from in 838 // Return inv momentum transfer -t > 0 from initialisation table
840 839
841 G4double G4NuclNuclDiffuseElastic::SampleTable 840 G4double G4NuclNuclDiffuseElastic::SampleTableT( const G4ParticleDefinition* aParticle, G4double p,
842 841 G4double Z, G4double A)
843 { 842 {
844 G4double alpha = SampleTableThetaCMS( aParti 843 G4double alpha = SampleTableThetaCMS( aParticle, p, Z, A); // sample theta2 in cms
845 // G4double t = 2*p*p*( 1 - std::cos(std 844 // G4double t = 2*p*p*( 1 - std::cos(std::sqrt(alpha)) ); // -t !!!
846 G4double t = p*p*alpha; // - 845 G4double t = p*p*alpha; // -t !!!
847 return t; 846 return t;
848 } 847 }
849 848
850 ////////////////////////////////////////////// 849 ////////////////////////////////////////////////////////////////////////////
851 // 850 //
852 // Return scattering angle2 sampled in cms acc 851 // Return scattering angle2 sampled in cms according to precalculated table.
853 852
854 853
855 G4double 854 G4double
856 G4NuclNuclDiffuseElastic::SampleTableThetaCMS( 855 G4NuclNuclDiffuseElastic::SampleTableThetaCMS(const G4ParticleDefinition* particle,
857 G4doubl 856 G4double momentum, G4double Z, G4double A)
858 { 857 {
859 std::size_t iElement; << 858 size_t iElement;
860 G4int iMomentum, iAngle; 859 G4int iMomentum, iAngle;
861 G4double randAngle, position, theta1, theta2 860 G4double randAngle, position, theta1, theta2, E1, E2, W1, W2, W;
862 G4double m1 = particle->GetPDGMass(); 861 G4double m1 = particle->GetPDGMass();
863 862
864 for(iElement = 0; iElement < fElementNumberV 863 for(iElement = 0; iElement < fElementNumberVector.size(); iElement++)
865 { 864 {
866 if( std::fabs(Z - fElementNumberVector[iEl 865 if( std::fabs(Z - fElementNumberVector[iElement]) < 0.5) break;
867 } 866 }
868 if ( iElement == fElementNumberVector.size() 867 if ( iElement == fElementNumberVector.size() )
869 { 868 {
870 InitialiseOnFly(Z,A); // table preparation 869 InitialiseOnFly(Z,A); // table preparation, if needed
871 870
872 // iElement--; 871 // iElement--;
873 872
874 // G4cout << "G4NuclNuclDiffuseElastic: El 873 // G4cout << "G4NuclNuclDiffuseElastic: Element with atomic number " << Z
875 // << " is not found, return zero angle" < 874 // << " is not found, return zero angle" << G4endl;
876 // return 0.; // no table for this element 875 // return 0.; // no table for this element
877 } 876 }
878 // G4cout<<"iElement = "<<iElement<<G4endl; 877 // G4cout<<"iElement = "<<iElement<<G4endl;
879 878
880 fAngleTable = fAngleBank[iElement]; 879 fAngleTable = fAngleBank[iElement];
881 880
882 G4double kinE = std::sqrt(momentum*momentum 881 G4double kinE = std::sqrt(momentum*momentum + m1*m1) - m1;
883 882
884 for( iMomentum = 0; iMomentum < fEnergyBin; 883 for( iMomentum = 0; iMomentum < fEnergyBin; iMomentum++)
885 { 884 {
886 // G4cout<<iMomentum<<", kinE = "<<kinE/Me 885 // G4cout<<iMomentum<<", kinE = "<<kinE/MeV<<", vectorE = "<<fEnergyVector->GetLowEdgeEnergy(iMomentum)/MeV<<G4endl;
887 886
888 if( kinE < fEnergyVector->GetLowEdgeEnergy 887 if( kinE < fEnergyVector->GetLowEdgeEnergy(iMomentum) ) break;
889 } 888 }
890 // G4cout<<"iMomentum = "<<iMomentum<<", fEn 889 // G4cout<<"iMomentum = "<<iMomentum<<", fEnergyBin -1 = "<<fEnergyBin -1<<G4endl;
891 890
892 891
893 if ( iMomentum >= fEnergyBin ) iMomentum = f 892 if ( iMomentum >= fEnergyBin ) iMomentum = fEnergyBin-1; // kinE is more then theMaxEnergy
894 if ( iMomentum < 0 ) iMomentum = 0 893 if ( iMomentum < 0 ) iMomentum = 0; // against negative index, kinE < theMinEnergy
895 894
896 895
897 if (iMomentum == fEnergyBin -1 || iMomentum 896 if (iMomentum == fEnergyBin -1 || iMomentum == 0 ) // the table edges
898 { 897 {
899 position = (*(*fAngleTable)(iMomentum))(fA 898 position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand();
900 899
901 // G4cout<<"position = "<<position<<G4endl 900 // G4cout<<"position = "<<position<<G4endl;
902 901
903 for(iAngle = 0; iAngle < fAngleBin-1; iAng 902 for(iAngle = 0; iAngle < fAngleBin-1; iAngle++)
904 { 903 {
905 if( position < (*(*fAngleTable)(iMomentu 904 if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break;
906 } 905 }
907 if (iAngle >= fAngleBin-1) iAngle = fAngle 906 if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2;
908 907
909 // G4cout<<"iAngle = "<<iAngle<<G4endl; 908 // G4cout<<"iAngle = "<<iAngle<<G4endl;
910 909
911 randAngle = GetScatteringAngle(iMomentum, 910 randAngle = GetScatteringAngle(iMomentum, iAngle, position);
912 911
913 // G4cout<<"randAngle = "<<randAngle<<G4en 912 // G4cout<<"randAngle = "<<randAngle<<G4endl;
914 } 913 }
915 else // kinE inside between energy table ed 914 else // kinE inside between energy table edges
916 { 915 {
917 // position = (*(*fAngleTable)(iMomentum)) 916 // position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand();
918 position = (*(*fAngleTable)(iMomentum))(0) 917 position = (*(*fAngleTable)(iMomentum))(0)*G4UniformRand();
919 918
920 // G4cout<<"position = "<<position<<G4endl 919 // G4cout<<"position = "<<position<<G4endl;
921 920
922 for(iAngle = 0; iAngle < fAngleBin-1; iAng 921 for(iAngle = 0; iAngle < fAngleBin-1; iAngle++)
923 { 922 {
924 // if( position < (*(*fAngleTable)(iMome 923 // if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break;
925 if( position > (*(*fAngleTable)(iMomentu 924 if( position > (*(*fAngleTable)(iMomentum))(iAngle) ) break;
926 } 925 }
927 if (iAngle >= fAngleBin-1) iAngle = fAngle 926 if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2;
928 927
929 // G4cout<<"iAngle = "<<iAngle<<G4endl; 928 // G4cout<<"iAngle = "<<iAngle<<G4endl;
930 929
931 theta2 = GetScatteringAngle(iMomentum, iA 930 theta2 = GetScatteringAngle(iMomentum, iAngle, position);
932 931
933 // G4cout<<"theta2 = "<<theta2<<G4endl; 932 // G4cout<<"theta2 = "<<theta2<<G4endl;
934 933
935 E2 = fEnergyVector->GetLowEdgeEnergy(iMome 934 E2 = fEnergyVector->GetLowEdgeEnergy(iMomentum);
936 935
937 // G4cout<<"E2 = "<<E2<<G4endl; 936 // G4cout<<"E2 = "<<E2<<G4endl;
938 937
939 iMomentum--; 938 iMomentum--;
940 939
941 // position = (*(*fAngleTable)(iMomentum)) 940 // position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand();
942 941
943 // G4cout<<"position = "<<position<<G4endl 942 // G4cout<<"position = "<<position<<G4endl;
944 943
945 for(iAngle = 0; iAngle < fAngleBin-1; iAng 944 for(iAngle = 0; iAngle < fAngleBin-1; iAngle++)
946 { 945 {
947 // if( position < (*(*fAngleTable)(iMome 946 // if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break;
948 if( position > (*(*fAngleTable)(iMomentu 947 if( position > (*(*fAngleTable)(iMomentum))(iAngle) ) break;
949 } 948 }
950 if (iAngle >= fAngleBin-1) iAngle = fAngle 949 if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2;
951 950
952 theta1 = GetScatteringAngle(iMomentum, iA 951 theta1 = GetScatteringAngle(iMomentum, iAngle, position);
953 952
954 // G4cout<<"theta1 = "<<theta1<<G4endl; 953 // G4cout<<"theta1 = "<<theta1<<G4endl;
955 954
956 E1 = fEnergyVector->GetLowEdgeEnergy(iMome 955 E1 = fEnergyVector->GetLowEdgeEnergy(iMomentum);
957 956
958 // G4cout<<"E1 = "<<E1<<G4endl; 957 // G4cout<<"E1 = "<<E1<<G4endl;
959 958
960 W = 1.0/(E2 - E1); 959 W = 1.0/(E2 - E1);
961 W1 = (E2 - kinE)*W; 960 W1 = (E2 - kinE)*W;
962 W2 = (kinE - E1)*W; 961 W2 = (kinE - E1)*W;
963 962
964 randAngle = W1*theta1 + W2*theta2; 963 randAngle = W1*theta1 + W2*theta2;
965 964
966 // randAngle = theta2; 965 // randAngle = theta2;
967 } 966 }
968 // G4double angle = randAngle; 967 // G4double angle = randAngle;
969 // if (randAngle > 0.) randAngle /= 2*pi*std 968 // if (randAngle > 0.) randAngle /= 2*pi*std::sin(angle);
970 // G4cout<<"randAngle = "<<randAngle/degree< 969 // G4cout<<"randAngle = "<<randAngle/degree<<G4endl;
971 970
972 return randAngle; 971 return randAngle;
973 } 972 }
974 973
975 ////////////////////////////////////////////// 974 //////////////////////////////////////////////////////////////////////////////
976 // 975 //
977 // Initialisation for given particle on fly us 976 // Initialisation for given particle on fly using new element number
978 977
979 void G4NuclNuclDiffuseElastic::InitialiseOnFly 978 void G4NuclNuclDiffuseElastic::InitialiseOnFly(G4double Z, G4double A)
980 { 979 {
981 fAtomicNumber = Z; // atomic number 980 fAtomicNumber = Z; // atomic number
982 fAtomicWeight = G4NistManager::Instance()-> 981 fAtomicWeight = G4NistManager::Instance()->GetAtomicMassAmu( static_cast< G4int >( Z ) );
983 982
984 G4double A1 = G4double( fParticle->GetBaryon 983 G4double A1 = G4double( fParticle->GetBaryonNumber() );
985 G4double R1 = CalculateNuclearRad(A1); 984 G4double R1 = CalculateNuclearRad(A1);
986 985
987 fNuclearRadius = CalculateNuclearRad(fAtomic 986 fNuclearRadius = CalculateNuclearRad(fAtomicWeight) + R1;
988 987
989 if( verboseLevel > 0 ) 988 if( verboseLevel > 0 )
990 { 989 {
991 G4cout<<"G4NuclNuclDiffuseElastic::Initial 990 G4cout<<"G4NuclNuclDiffuseElastic::Initialise() the element with Z = "
992 <<Z<<"; and A = "<<A<<G4endl; 991 <<Z<<"; and A = "<<A<<G4endl;
993 } 992 }
994 fElementNumberVector.push_back(fAtomicNumber 993 fElementNumberVector.push_back(fAtomicNumber);
995 994
996 BuildAngleTable(); 995 BuildAngleTable();
997 996
998 fAngleBank.push_back(fAngleTable); 997 fAngleBank.push_back(fAngleTable);
999 998
1000 return; 999 return;
1001 } 1000 }
1002 1001
1003 ///////////////////////////////////////////// 1002 ///////////////////////////////////////////////////////////////////////////////
1004 // 1003 //
1005 // Build for given particle and element table 1004 // Build for given particle and element table of momentum, angle probability.
1006 // For the moment in lab system. 1005 // For the moment in lab system.
1007 1006
1008 void G4NuclNuclDiffuseElastic::BuildAngleTabl 1007 void G4NuclNuclDiffuseElastic::BuildAngleTable()
1009 { 1008 {
1010 G4int i, j; 1009 G4int i, j;
1011 G4double partMom, kinE, m1 = fParticle->Get 1010 G4double partMom, kinE, m1 = fParticle->GetPDGMass();
1012 G4double alpha1, alpha2, alphaMax, alphaCou 1011 G4double alpha1, alpha2, alphaMax, alphaCoulomb, delta = 0., sum = 0.;
1013 1012
1014 // G4cout<<"particle z = "<<z<<"; particle 1013 // G4cout<<"particle z = "<<z<<"; particle m1 = "<<m1/GeV<<" GeV"<<G4endl;
1015 1014
1016 G4Integrator<G4NuclNuclDiffuseElastic,G4dou 1015 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
1017 1016
1018 fAngleTable = new G4PhysicsTable(fEnergyBin 1017 fAngleTable = new G4PhysicsTable(fEnergyBin);
1019 1018
1020 for( i = 0; i < fEnergyBin; i++) 1019 for( i = 0; i < fEnergyBin; i++)
1021 { 1020 {
1022 kinE = fEnergyVector->GetLowEdgeEn 1021 kinE = fEnergyVector->GetLowEdgeEnergy(i);
1023 1022
1024 // G4cout<<G4endl; 1023 // G4cout<<G4endl;
1025 // G4cout<<"kinE = "<<kinE/MeV<<" MeV"<<G 1024 // G4cout<<"kinE = "<<kinE/MeV<<" MeV"<<G4endl;
1026 1025
1027 partMom = std::sqrt( kinE*(kinE + 2*m 1026 partMom = std::sqrt( kinE*(kinE + 2*m1) );
1028 1027
1029 InitDynParameters(fParticle, partMom); 1028 InitDynParameters(fParticle, partMom);
1030 1029
1031 alphaMax = fRutherfordTheta*fCofAlphaMax; 1030 alphaMax = fRutherfordTheta*fCofAlphaMax;
1032 1031
1033 if(alphaMax > pi) alphaMax = pi; 1032 if(alphaMax > pi) alphaMax = pi;
1034 1033
1035 // VI: Coverity complain 1034 // VI: Coverity complain
1036 //alphaMax = pi2; 1035 //alphaMax = pi2;
1037 1036
1038 alphaCoulomb = fRutherfordTheta*fCofAlpha 1037 alphaCoulomb = fRutherfordTheta*fCofAlphaCoulomb;
1039 1038
1040 // G4cout<<"alphaCoulomb = "<<alphaCoulom 1039 // G4cout<<"alphaCoulomb = "<<alphaCoulomb/degree<<"; alphaMax = "<<alphaMax/degree<<G4endl;
1041 1040
1042 G4PhysicsFreeVector* angleVector = new G4 1041 G4PhysicsFreeVector* angleVector = new G4PhysicsFreeVector(fAngleBin-1);
1043 1042
1044 // G4PhysicsLogVector* angleBins = new G 1043 // G4PhysicsLogVector* angleBins = new G4PhysicsLogVector( 0.001*alphaMax, alphaMax, fAngleBin );
1045 1044
1046 G4double delth = (alphaMax-alphaCoulomb)/ 1045 G4double delth = (alphaMax-alphaCoulomb)/fAngleBin;
1047 1046
1048 sum = 0.; 1047 sum = 0.;
1049 1048
1050 // fAddCoulomb = false; 1049 // fAddCoulomb = false;
1051 fAddCoulomb = true; 1050 fAddCoulomb = true;
1052 1051
1053 // for(j = 1; j < fAngleBin; j++) 1052 // for(j = 1; j < fAngleBin; j++)
1054 for(j = fAngleBin-1; j >= 1; j--) 1053 for(j = fAngleBin-1; j >= 1; j--)
1055 { 1054 {
1056 // alpha1 = angleBins->GetLowEdgeEnergy 1055 // alpha1 = angleBins->GetLowEdgeEnergy(j-1);
1057 // alpha2 = angleBins->GetLowEdgeEnergy 1056 // alpha2 = angleBins->GetLowEdgeEnergy(j);
1058 1057
1059 // alpha1 = alphaMax*(j-1)/fAngleBin; 1058 // alpha1 = alphaMax*(j-1)/fAngleBin;
1060 // alpha2 = alphaMax*( j )/fAngleBin; 1059 // alpha2 = alphaMax*( j )/fAngleBin;
1061 1060
1062 alpha1 = alphaCoulomb + delth*(j-1); 1061 alpha1 = alphaCoulomb + delth*(j-1);
1063 // if(alpha1 < kRlim2) alpha1 = kRlim2; 1062 // if(alpha1 < kRlim2) alpha1 = kRlim2;
1064 alpha2 = alpha1 + delth; 1063 alpha2 = alpha1 + delth;
1065 1064
1066 delta = integral.Legendre10(this, &G4Nu 1065 delta = integral.Legendre10(this, &G4NuclNuclDiffuseElastic::GetFresnelIntegrandXsc, alpha1, alpha2);
1067 // delta = integral.Legendre96(this, &G 1066 // delta = integral.Legendre96(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1068 1067
1069 sum += delta; 1068 sum += delta;
1070 1069
1071 angleVector->PutValue( j-1 , alpha1, su 1070 angleVector->PutValue( j-1 , alpha1, sum ); // alpha2
1072 // G4cout<<"j-1 = "<<j-1<<"; alpha2 = " 1071 // G4cout<<"j-1 = "<<j-1<<"; alpha2 = "<<alpha2/degree<<"; sum = "<<sum<<G4endl;
1073 } 1072 }
1074 fAngleTable->insertAt(i,angleVector); 1073 fAngleTable->insertAt(i,angleVector);
1075 1074
1076 // delete[] angleVector; 1075 // delete[] angleVector;
1077 // delete[] angleBins; 1076 // delete[] angleBins;
1078 } 1077 }
1079 return; 1078 return;
1080 } 1079 }
1081 1080
1082 ///////////////////////////////////////////// 1081 /////////////////////////////////////////////////////////////////////////////////
1083 // 1082 //
1084 // 1083 //
1085 1084
1086 G4double 1085 G4double
1087 G4NuclNuclDiffuseElastic:: GetScatteringAngle 1086 G4NuclNuclDiffuseElastic:: GetScatteringAngle( G4int iMomentum, G4int iAngle, G4double position )
1088 { 1087 {
1089 G4double x1, x2, y1, y2, randAngle; 1088 G4double x1, x2, y1, y2, randAngle;
1090 1089
1091 if( iAngle == 0 ) 1090 if( iAngle == 0 )
1092 { 1091 {
1093 randAngle = (*fAngleTable)(iMomentum)->Ge 1092 randAngle = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle);
1094 // iAngle++; 1093 // iAngle++;
1095 } 1094 }
1096 else 1095 else
1097 { 1096 {
1098 if ( iAngle >= G4int((*fAngleTable)(iMome 1097 if ( iAngle >= G4int((*fAngleTable)(iMomentum)->GetVectorLength()) )
1099 { 1098 {
1100 iAngle = G4int((*fAngleTable)(iMomentum << 1099 iAngle = (*fAngleTable)(iMomentum)->GetVectorLength() - 1;
1101 } 1100 }
1102 y1 = (*(*fAngleTable)(iMomentum))(iAngle- 1101 y1 = (*(*fAngleTable)(iMomentum))(iAngle-1);
1103 y2 = (*(*fAngleTable)(iMomentum))(iAngle) 1102 y2 = (*(*fAngleTable)(iMomentum))(iAngle);
1104 1103
1105 x1 = (*fAngleTable)(iMomentum)->GetLowEdg 1104 x1 = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle-1);
1106 x2 = (*fAngleTable)(iMomentum)->GetLowEdg 1105 x2 = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle);
1107 1106
1108 if ( x1 == x2 ) randAngle = x2; 1107 if ( x1 == x2 ) randAngle = x2;
1109 else 1108 else
1110 { 1109 {
1111 if ( y1 == y2 ) randAngle = x1 + ( x2 - 1110 if ( y1 == y2 ) randAngle = x1 + ( x2 - x1 )*G4UniformRand();
1112 else 1111 else
1113 { 1112 {
1114 randAngle = x1 + ( position - y1 )*( 1113 randAngle = x1 + ( position - y1 )*( x2 - x1 )/( y2 - y1 );
1115 } 1114 }
1116 } 1115 }
1117 } 1116 }
1118 return randAngle; 1117 return randAngle;
1119 } 1118 }
1120 1119
1121 1120
1122 1121
1123 ///////////////////////////////////////////// 1122 ////////////////////////////////////////////////////////////////////////////
1124 // 1123 //
1125 // Return scattering angle sampled in lab sys 1124 // Return scattering angle sampled in lab system (target at rest)
1126 1125
1127 1126
1128 1127
1129 G4double 1128 G4double
1130 G4NuclNuclDiffuseElastic::SampleThetaLab( con 1129 G4NuclNuclDiffuseElastic::SampleThetaLab( const G4HadProjectile* aParticle,
1131 G4dou 1130 G4double tmass, G4double A)
1132 { 1131 {
1133 const G4ParticleDefinition* theParticle = a 1132 const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
1134 G4double m1 = theParticle->GetPDGMass(); 1133 G4double m1 = theParticle->GetPDGMass();
1135 G4double plab = aParticle->GetTotalMomentum 1134 G4double plab = aParticle->GetTotalMomentum();
1136 G4LorentzVector lv1 = aParticle->Get4Moment 1135 G4LorentzVector lv1 = aParticle->Get4Momentum();
1137 G4LorentzVector lv(0.0,0.0,0.0,tmass); 1136 G4LorentzVector lv(0.0,0.0,0.0,tmass);
1138 lv += lv1; 1137 lv += lv1;
1139 1138
1140 G4ThreeVector bst = lv.boostVector(); 1139 G4ThreeVector bst = lv.boostVector();
1141 lv1.boost(-bst); 1140 lv1.boost(-bst);
1142 1141
1143 G4ThreeVector p1 = lv1.vect(); 1142 G4ThreeVector p1 = lv1.vect();
1144 G4double ptot = p1.mag(); 1143 G4double ptot = p1.mag();
1145 G4double tmax = 4.0*ptot*ptot; 1144 G4double tmax = 4.0*ptot*ptot;
1146 G4double t = 0.0; 1145 G4double t = 0.0;
1147 1146
1148 1147
1149 // 1148 //
1150 // Sample t 1149 // Sample t
1151 // 1150 //
1152 1151
1153 t = SampleT( theParticle, ptot, A); 1152 t = SampleT( theParticle, ptot, A);
1154 1153
1155 // NaN finder 1154 // NaN finder
1156 if(!(t < 0.0 || t >= 0.0)) 1155 if(!(t < 0.0 || t >= 0.0))
1157 { 1156 {
1158 if (verboseLevel > 0) 1157 if (verboseLevel > 0)
1159 { 1158 {
1160 G4cout << "G4NuclNuclDiffuseElastic:WAR 1159 G4cout << "G4NuclNuclDiffuseElastic:WARNING: A = " << A
1161 << " mom(GeV)= " << plab/GeV 1160 << " mom(GeV)= " << plab/GeV
1162 << " S-wave will be sampled" 1161 << " S-wave will be sampled"
1163 << G4endl; 1162 << G4endl;
1164 } 1163 }
1165 t = G4UniformRand()*tmax; 1164 t = G4UniformRand()*tmax;
1166 } 1165 }
1167 if(verboseLevel>1) 1166 if(verboseLevel>1)
1168 { 1167 {
1169 G4cout <<" t= " << t << " tmax= " << tmax 1168 G4cout <<" t= " << t << " tmax= " << tmax
1170 << " ptot= " << ptot << G4endl; 1169 << " ptot= " << ptot << G4endl;
1171 } 1170 }
1172 // Sampling of angles in CM system 1171 // Sampling of angles in CM system
1173 1172
1174 G4double phi = G4UniformRand()*twopi; 1173 G4double phi = G4UniformRand()*twopi;
1175 G4double cost = 1. - 2.0*t/tmax; 1174 G4double cost = 1. - 2.0*t/tmax;
1176 G4double sint; 1175 G4double sint;
1177 1176
1178 if( cost >= 1.0 ) 1177 if( cost >= 1.0 )
1179 { 1178 {
1180 cost = 1.0; 1179 cost = 1.0;
1181 sint = 0.0; 1180 sint = 0.0;
1182 } 1181 }
1183 else if( cost <= -1.0) 1182 else if( cost <= -1.0)
1184 { 1183 {
1185 cost = -1.0; 1184 cost = -1.0;
1186 sint = 0.0; 1185 sint = 0.0;
1187 } 1186 }
1188 else 1187 else
1189 { 1188 {
1190 sint = std::sqrt((1.0-cost)*(1.0+cost)); 1189 sint = std::sqrt((1.0-cost)*(1.0+cost));
1191 } 1190 }
1192 if (verboseLevel>1) 1191 if (verboseLevel>1)
1193 { 1192 {
1194 G4cout << "cos(t)=" << cost << " std::sin 1193 G4cout << "cos(t)=" << cost << " std::sin(t)=" << sint << G4endl;
1195 } 1194 }
1196 G4ThreeVector v1(sint*std::cos(phi),sint*st 1195 G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
1197 v1 *= ptot; 1196 v1 *= ptot;
1198 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),s 1197 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1));
1199 1198
1200 nlv1.boost(bst); 1199 nlv1.boost(bst);
1201 1200
1202 G4ThreeVector np1 = nlv1.vect(); 1201 G4ThreeVector np1 = nlv1.vect();
1203 1202
1204 // G4double theta = std::acos( np1.z()/np 1203 // G4double theta = std::acos( np1.z()/np1.mag() ); // degree;
1205 1204
1206 G4double theta = np1.theta(); 1205 G4double theta = np1.theta();
1207 1206
1208 return theta; 1207 return theta;
1209 } 1208 }
1210 1209
1211 ///////////////////////////////////////////// 1210 ////////////////////////////////////////////////////////////////////////////
1212 // 1211 //
1213 // Return scattering angle in lab system (tar 1212 // Return scattering angle in lab system (target at rest) knowing theta in CMS
1214 1213
1215 1214
1216 1215
1217 G4double 1216 G4double
1218 G4NuclNuclDiffuseElastic::ThetaCMStoThetaLab( 1217 G4NuclNuclDiffuseElastic::ThetaCMStoThetaLab( const G4DynamicParticle* aParticle,
1219 G4dou 1218 G4double tmass, G4double thetaCMS)
1220 { 1219 {
1221 const G4ParticleDefinition* theParticle = a 1220 const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
1222 G4double m1 = theParticle->GetPDGMass(); 1221 G4double m1 = theParticle->GetPDGMass();
1223 // G4double plab = aParticle->GetTotalMomen 1222 // G4double plab = aParticle->GetTotalMomentum();
1224 G4LorentzVector lv1 = aParticle->Get4Moment 1223 G4LorentzVector lv1 = aParticle->Get4Momentum();
1225 G4LorentzVector lv(0.0,0.0,0.0,tmass); 1224 G4LorentzVector lv(0.0,0.0,0.0,tmass);
1226 1225
1227 lv += lv1; 1226 lv += lv1;
1228 1227
1229 G4ThreeVector bst = lv.boostVector(); 1228 G4ThreeVector bst = lv.boostVector();
1230 1229
1231 lv1.boost(-bst); 1230 lv1.boost(-bst);
1232 1231
1233 G4ThreeVector p1 = lv1.vect(); 1232 G4ThreeVector p1 = lv1.vect();
1234 G4double ptot = p1.mag(); 1233 G4double ptot = p1.mag();
1235 1234
1236 G4double phi = G4UniformRand()*twopi; 1235 G4double phi = G4UniformRand()*twopi;
1237 G4double cost = std::cos(thetaCMS); 1236 G4double cost = std::cos(thetaCMS);
1238 G4double sint; 1237 G4double sint;
1239 1238
1240 if( cost >= 1.0 ) 1239 if( cost >= 1.0 )
1241 { 1240 {
1242 cost = 1.0; 1241 cost = 1.0;
1243 sint = 0.0; 1242 sint = 0.0;
1244 } 1243 }
1245 else if( cost <= -1.0) 1244 else if( cost <= -1.0)
1246 { 1245 {
1247 cost = -1.0; 1246 cost = -1.0;
1248 sint = 0.0; 1247 sint = 0.0;
1249 } 1248 }
1250 else 1249 else
1251 { 1250 {
1252 sint = std::sqrt((1.0-cost)*(1.0+cost)); 1251 sint = std::sqrt((1.0-cost)*(1.0+cost));
1253 } 1252 }
1254 if (verboseLevel>1) 1253 if (verboseLevel>1)
1255 { 1254 {
1256 G4cout << "cos(tcms)=" << cost << " std:: 1255 G4cout << "cos(tcms)=" << cost << " std::sin(tcms)=" << sint << G4endl;
1257 } 1256 }
1258 G4ThreeVector v1(sint*std::cos(phi),sint*st 1257 G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
1259 v1 *= ptot; 1258 v1 *= ptot;
1260 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),s 1259 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1));
1261 1260
1262 nlv1.boost(bst); 1261 nlv1.boost(bst);
1263 1262
1264 G4ThreeVector np1 = nlv1.vect(); 1263 G4ThreeVector np1 = nlv1.vect();
1265 1264
1266 1265
1267 G4double thetaLab = np1.theta(); 1266 G4double thetaLab = np1.theta();
1268 1267
1269 return thetaLab; 1268 return thetaLab;
1270 } 1269 }
1271 1270
1272 ///////////////////////////////////////////// 1271 ////////////////////////////////////////////////////////////////////////////
1273 // 1272 //
1274 // Return scattering angle in CMS system (tar 1273 // Return scattering angle in CMS system (target at rest) knowing theta in Lab
1275 1274
1276 1275
1277 1276
1278 G4double 1277 G4double
1279 G4NuclNuclDiffuseElastic::ThetaLabToThetaCMS( 1278 G4NuclNuclDiffuseElastic::ThetaLabToThetaCMS( const G4DynamicParticle* aParticle,
1280 G4dou 1279 G4double tmass, G4double thetaLab)
1281 { 1280 {
1282 const G4ParticleDefinition* theParticle = a 1281 const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
1283 G4double m1 = theParticle->GetPDGMass(); 1282 G4double m1 = theParticle->GetPDGMass();
1284 G4double plab = aParticle->GetTotalMomentum 1283 G4double plab = aParticle->GetTotalMomentum();
1285 G4LorentzVector lv1 = aParticle->Get4Moment 1284 G4LorentzVector lv1 = aParticle->Get4Momentum();
1286 G4LorentzVector lv(0.0,0.0,0.0,tmass); 1285 G4LorentzVector lv(0.0,0.0,0.0,tmass);
1287 1286
1288 lv += lv1; 1287 lv += lv1;
1289 1288
1290 G4ThreeVector bst = lv.boostVector(); 1289 G4ThreeVector bst = lv.boostVector();
1291 1290
1292 // lv1.boost(-bst); 1291 // lv1.boost(-bst);
1293 1292
1294 // G4ThreeVector p1 = lv1.vect(); 1293 // G4ThreeVector p1 = lv1.vect();
1295 // G4double ptot = p1.mag(); 1294 // G4double ptot = p1.mag();
1296 1295
1297 G4double phi = G4UniformRand()*twopi; 1296 G4double phi = G4UniformRand()*twopi;
1298 G4double cost = std::cos(thetaLab); 1297 G4double cost = std::cos(thetaLab);
1299 G4double sint; 1298 G4double sint;
1300 1299
1301 if( cost >= 1.0 ) 1300 if( cost >= 1.0 )
1302 { 1301 {
1303 cost = 1.0; 1302 cost = 1.0;
1304 sint = 0.0; 1303 sint = 0.0;
1305 } 1304 }
1306 else if( cost <= -1.0) 1305 else if( cost <= -1.0)
1307 { 1306 {
1308 cost = -1.0; 1307 cost = -1.0;
1309 sint = 0.0; 1308 sint = 0.0;
1310 } 1309 }
1311 else 1310 else
1312 { 1311 {
1313 sint = std::sqrt((1.0-cost)*(1.0+cost)); 1312 sint = std::sqrt((1.0-cost)*(1.0+cost));
1314 } 1313 }
1315 if (verboseLevel>1) 1314 if (verboseLevel>1)
1316 { 1315 {
1317 G4cout << "cos(tlab)=" << cost << " std:: 1316 G4cout << "cos(tlab)=" << cost << " std::sin(tlab)=" << sint << G4endl;
1318 } 1317 }
1319 G4ThreeVector v1(sint*std::cos(phi),sint*st 1318 G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
1320 v1 *= plab; 1319 v1 *= plab;
1321 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),s 1320 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(plab*plab + m1*m1));
1322 1321
1323 nlv1.boost(-bst); 1322 nlv1.boost(-bst);
1324 1323
1325 G4ThreeVector np1 = nlv1.vect(); 1324 G4ThreeVector np1 = nlv1.vect();
1326 1325
1327 1326
1328 G4double thetaCMS = np1.theta(); 1327 G4double thetaCMS = np1.theta();
1329 1328
1330 return thetaCMS; 1329 return thetaCMS;
1331 } 1330 }
1332 1331
1333 ///////////////////////////////////////////// 1332 ///////////////////////////////////////////////////////////////////////////////
1334 // 1333 //
1335 // Test for given particle and element table 1334 // Test for given particle and element table of momentum, angle probability.
1336 // For the moment in lab system. 1335 // For the moment in lab system.
1337 1336
1338 void G4NuclNuclDiffuseElastic::TestAngleTable 1337 void G4NuclNuclDiffuseElastic::TestAngleTable(const G4ParticleDefinition* theParticle, G4double partMom,
1339 G 1338 G4double Z, G4double A)
1340 { 1339 {
1341 fAtomicNumber = Z; // atomic number 1340 fAtomicNumber = Z; // atomic number
1342 fAtomicWeight = A; // number of nucleo 1341 fAtomicWeight = A; // number of nucleons
1343 fNuclearRadius = CalculateNuclearRad(fAtomi 1342 fNuclearRadius = CalculateNuclearRad(fAtomicWeight);
1344 1343
1345 1344
1346 1345
1347 G4cout<<"G4NuclNuclDiffuseElastic::TestAngl 1346 G4cout<<"G4NuclNuclDiffuseElastic::TestAngleTable() init the element with Z = "
1348 <<Z<<"; and A = "<<A<<G4endl; 1347 <<Z<<"; and A = "<<A<<G4endl;
1349 1348
1350 fElementNumberVector.push_back(fAtomicNumbe 1349 fElementNumberVector.push_back(fAtomicNumber);
1351 1350
1352 1351
1353 1352
1354 1353
1355 G4int i=0, j; 1354 G4int i=0, j;
1356 G4double a = 0., z = theParticle->GetPDGCha 1355 G4double a = 0., z = theParticle->GetPDGCharge(), m1 = fParticle->GetPDGMass();
1357 G4double alpha1=0., alpha2=0., alphaMax=0., 1356 G4double alpha1=0., alpha2=0., alphaMax=0., alphaCoulomb=0.;
1358 G4double deltaL10 = 0., deltaL96 = 0., delt 1357 G4double deltaL10 = 0., deltaL96 = 0., deltaAG = 0.;
1359 G4double sumL10 = 0.,sumL96 = 0.,sumAG = 0. 1358 G4double sumL10 = 0.,sumL96 = 0.,sumAG = 0.;
1360 G4double epsilon = 0.001; 1359 G4double epsilon = 0.001;
1361 1360
1362 G4Integrator<G4NuclNuclDiffuseElastic,G4dou 1361 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
1363 1362
1364 fAngleTable = new G4PhysicsTable(fEnergyBin 1363 fAngleTable = new G4PhysicsTable(fEnergyBin);
1365 1364
1366 fWaveVector = partMom/hbarc; 1365 fWaveVector = partMom/hbarc;
1367 1366
1368 G4double kR = fWaveVector*fNuclearRadiu 1367 G4double kR = fWaveVector*fNuclearRadius;
1369 G4double kR2 = kR*kR; 1368 G4double kR2 = kR*kR;
1370 G4double kRmax = 10.6; // 10.6, 18, 10.174 1369 G4double kRmax = 10.6; // 10.6, 18, 10.174; ~ 3 maxima of J1 or 15., 25.
1371 G4double kRcoul = 1.2; // 1.4, 2.5; // on t 1370 G4double kRcoul = 1.2; // 1.4, 2.5; // on the first slope of J1
1372 1371
1373 alphaMax = kRmax*kRmax/kR2; 1372 alphaMax = kRmax*kRmax/kR2;
1374 1373
1375 if (alphaMax > 4.) alphaMax = 4.; // vmg05 1374 if (alphaMax > 4.) alphaMax = 4.; // vmg05-02-09: was pi2
1376 1375
1377 alphaCoulomb = kRcoul*kRcoul/kR2; 1376 alphaCoulomb = kRcoul*kRcoul/kR2;
1378 1377
1379 if( z ) 1378 if( z )
1380 { 1379 {
1381 a = partMom/m1; // beta*gamma 1380 a = partMom/m1; // beta*gamma for m1
1382 fBeta = a/std::sqrt(1+a*a); 1381 fBeta = a/std::sqrt(1+a*a);
1383 fZommerfeld = CalculateZommerfeld( fBet 1382 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1384 fAm = CalculateAm( partMom, fZo 1383 fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1385 } 1384 }
1386 G4PhysicsFreeVector* angleVector = new G4Ph 1385 G4PhysicsFreeVector* angleVector = new G4PhysicsFreeVector(fAngleBin-1);
1387 1386
1388 // G4PhysicsLogVector* angleBins = new G4P 1387 // G4PhysicsLogVector* angleBins = new G4PhysicsLogVector( 0.001*alphaMax, alphaMax, fAngleBin );
1389 1388
1390 1389
1391 fAddCoulomb = false; 1390 fAddCoulomb = false;
1392 1391
1393 for(j = 1; j < fAngleBin; j++) 1392 for(j = 1; j < fAngleBin; j++)
1394 { 1393 {
1395 // alpha1 = angleBins->GetLowEdgeEnergy 1394 // alpha1 = angleBins->GetLowEdgeEnergy(j-1);
1396 // alpha2 = angleBins->GetLowEdgeEnergy 1395 // alpha2 = angleBins->GetLowEdgeEnergy(j);
1397 1396
1398 alpha1 = alphaMax*(j-1)/fAngleBin; 1397 alpha1 = alphaMax*(j-1)/fAngleBin;
1399 alpha2 = alphaMax*( j )/fAngleBin; 1398 alpha2 = alphaMax*( j )/fAngleBin;
1400 1399
1401 if( ( alpha2 > alphaCoulomb ) && z ) fAdd 1400 if( ( alpha2 > alphaCoulomb ) && z ) fAddCoulomb = true;
1402 1401
1403 deltaL10 = integral.Legendre10(this, &G4N 1402 deltaL10 = integral.Legendre10(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1404 deltaL96 = integral.Legendre96(this, &G4N 1403 deltaL96 = integral.Legendre96(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1405 deltaAG = integral.AdaptiveGauss(this, & 1404 deltaAG = integral.AdaptiveGauss(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction,
1406 alpha1 1405 alpha1, alpha2,epsilon);
1407 1406
1408 // G4cout<<alpha1<<"\t"<<std::sqrt(alph 1407 // G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/degree<<"\t"
1409 // <<deltaL10<<"\t"<<deltaL96<<"\t" 1408 // <<deltaL10<<"\t"<<deltaL96<<"\t"<<deltaAG<<G4endl;
1410 1409
1411 sumL10 += deltaL10; 1410 sumL10 += deltaL10;
1412 sumL96 += deltaL96; 1411 sumL96 += deltaL96;
1413 sumAG += deltaAG; 1412 sumAG += deltaAG;
1414 1413
1415 G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/d 1414 G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/degree<<"\t"
1416 <<sumL10<<"\t"<<sumL96<<"\t"<<sum 1415 <<sumL10<<"\t"<<sumL96<<"\t"<<sumAG<<G4endl;
1417 1416
1418 angleVector->PutValue( j-1 , alpha1, sumL 1417 angleVector->PutValue( j-1 , alpha1, sumL10 ); // alpha2
1419 } 1418 }
1420 fAngleTable->insertAt(i,angleVector); 1419 fAngleTable->insertAt(i,angleVector);
1421 fAngleBank.push_back(fAngleTable); 1420 fAngleBank.push_back(fAngleTable);
1422 1421
1423 /* 1422 /*
1424 // Integral over all angle range - Bad accu 1423 // Integral over all angle range - Bad accuracy !!!
1425 1424
1426 sumL10 = integral.Legendre10(this, &G4NuclN 1425 sumL10 = integral.Legendre10(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., alpha2);
1427 sumL96 = integral.Legendre96(this, &G4NuclN 1426 sumL96 = integral.Legendre96(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., alpha2);
1428 sumAG = integral.AdaptiveGauss(this, &G4Nu 1427 sumAG = integral.AdaptiveGauss(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction,
1429 0., al 1428 0., alpha2,epsilon);
1430 G4cout<<G4endl; 1429 G4cout<<G4endl;
1431 G4cout<<alpha2<<"\t"<<std::sqrt(alpha2)/deg 1430 G4cout<<alpha2<<"\t"<<std::sqrt(alpha2)/degree<<"\t"
1432 <<sumL10<<"\t"<<sumL96<<"\t"<<sum 1431 <<sumL10<<"\t"<<sumL96<<"\t"<<sumAG<<G4endl;
1433 */ 1432 */
1434 return; 1433 return;
1435 } 1434 }
1436 1435
1437 ///////////////////////////////////////////// 1436 /////////////////////////////////////////////////////////////////
1438 // 1437 //
1439 // 1438 //
1440 1439
1441 G4double G4NuclNuclDiffuseElastic::GetLegend 1440 G4double G4NuclNuclDiffuseElastic::GetLegendrePol(G4int n, G4double theta)
1442 { 1441 {
1443 G4double legPol, epsilon = 1.e-6; 1442 G4double legPol, epsilon = 1.e-6;
1444 G4double x = std::cos(theta); 1443 G4double x = std::cos(theta);
1445 1444
1446 if ( n < 0 ) legPol = 0.; 1445 if ( n < 0 ) legPol = 0.;
1447 else if( n == 0 ) legPol = 1.; 1446 else if( n == 0 ) legPol = 1.;
1448 else if( n == 1 ) legPol = x; 1447 else if( n == 1 ) legPol = x;
1449 else if( n == 2 ) legPol = (3.*x*x-1.)/2.; 1448 else if( n == 2 ) legPol = (3.*x*x-1.)/2.;
1450 else if( n == 3 ) legPol = (5.*x*x*x-3.*x)/ 1449 else if( n == 3 ) legPol = (5.*x*x*x-3.*x)/2.;
1451 else if( n == 4 ) legPol = (35.*x*x*x*x-30. 1450 else if( n == 4 ) legPol = (35.*x*x*x*x-30.*x*x+3.)/8.;
1452 else if( n == 5 ) legPol = (63.*x*x*x*x*x-7 1451 else if( n == 5 ) legPol = (63.*x*x*x*x*x-70.*x*x*x+15.*x)/8.;
1453 else if( n == 6 ) legPol = (231.*x*x*x*x*x* 1452 else if( n == 6 ) legPol = (231.*x*x*x*x*x*x-315.*x*x*x*x+105.*x*x-5.)/16.;
1454 else 1453 else
1455 { 1454 {
1456 // legPol = ( (2*n-1)*x*GetLegendrePol(n- 1455 // legPol = ( (2*n-1)*x*GetLegendrePol(n-1,x) - (n-1)*GetLegendrePol(n-2,x) )/n;
1457 1456
1458 legPol = std::sqrt( 2./(n*CLHEP::pi*std:: 1457 legPol = std::sqrt( 2./(n*CLHEP::pi*std::sin(theta+epsilon)) )*std::sin( (n+0.5)*theta+0.25*CLHEP::pi );
1459 } 1458 }
1460 return legPol; 1459 return legPol;
1461 } 1460 }
1462 1461
1463 ///////////////////////////////////////////// 1462 /////////////////////////////////////////////////////////////////
1464 // 1463 //
1465 // 1464 //
1466 1465
1467 G4complex G4NuclNuclDiffuseElastic::GetErfCom 1466 G4complex G4NuclNuclDiffuseElastic::GetErfComp(G4complex z, G4int nMax)
1468 { 1467 {
1469 G4int n; 1468 G4int n;
1470 G4double n2, cofn, shny, chny, fn, gn; 1469 G4double n2, cofn, shny, chny, fn, gn;
1471 1470
1472 G4double x = z.real(); 1471 G4double x = z.real();
1473 G4double y = z.imag(); 1472 G4double y = z.imag();
1474 1473
1475 G4double outRe = 0., outIm = 0.; 1474 G4double outRe = 0., outIm = 0.;
1476 1475
1477 G4double twox = 2.*x; 1476 G4double twox = 2.*x;
1478 G4double twoxy = twox*y; 1477 G4double twoxy = twox*y;
1479 G4double twox2 = twox*twox; 1478 G4double twox2 = twox*twox;
1480 1479
1481 G4double cof1 = G4Exp(-x*x)/CLHEP::pi; 1480 G4double cof1 = G4Exp(-x*x)/CLHEP::pi;
1482 1481
1483 G4double cos2xy = std::cos(twoxy); 1482 G4double cos2xy = std::cos(twoxy);
1484 G4double sin2xy = std::sin(twoxy); 1483 G4double sin2xy = std::sin(twoxy);
1485 1484
1486 G4double twoxcos2xy = twox*cos2xy; 1485 G4double twoxcos2xy = twox*cos2xy;
1487 G4double twoxsin2xy = twox*sin2xy; 1486 G4double twoxsin2xy = twox*sin2xy;
1488 1487
1489 for( n = 1; n <= nMax; n++) 1488 for( n = 1; n <= nMax; n++)
1490 { 1489 {
1491 n2 = n*n; 1490 n2 = n*n;
1492 1491
1493 cofn = G4Exp(-0.5*n2)/(n2+twox2); // /(n 1492 cofn = G4Exp(-0.5*n2)/(n2+twox2); // /(n2+0.5*twox2);
1494 1493
1495 chny = std::cosh(n*y); 1494 chny = std::cosh(n*y);
1496 shny = std::sinh(n*y); 1495 shny = std::sinh(n*y);
1497 1496
1498 fn = twox - twoxcos2xy*chny + n*sin2xy*s 1497 fn = twox - twoxcos2xy*chny + n*sin2xy*shny;
1499 gn = twoxsin2xy*chny + n*cos2xy*s 1498 gn = twoxsin2xy*chny + n*cos2xy*shny;
1500 1499
1501 fn *= cofn; 1500 fn *= cofn;
1502 gn *= cofn; 1501 gn *= cofn;
1503 1502
1504 outRe += fn; 1503 outRe += fn;
1505 outIm += gn; 1504 outIm += gn;
1506 } 1505 }
1507 outRe *= 2*cof1; 1506 outRe *= 2*cof1;
1508 outIm *= 2*cof1; 1507 outIm *= 2*cof1;
1509 1508
1510 if(std::abs(x) < 0.0001) 1509 if(std::abs(x) < 0.0001)
1511 { 1510 {
1512 outRe += GetErf(x); 1511 outRe += GetErf(x);
1513 outIm += cof1*y; 1512 outIm += cof1*y;
1514 } 1513 }
1515 else 1514 else
1516 { 1515 {
1517 outRe += GetErf(x) + cof1*(1-cos2xy)/twox 1516 outRe += GetErf(x) + cof1*(1-cos2xy)/twox;
1518 outIm += cof1*sin2xy/twox; 1517 outIm += cof1*sin2xy/twox;
1519 } 1518 }
1520 return G4complex(outRe, outIm); 1519 return G4complex(outRe, outIm);
1521 } 1520 }
1522 1521
1523 1522
1524 ///////////////////////////////////////////// 1523 /////////////////////////////////////////////////////////////////
1525 // 1524 //
1526 // 1525 //
1527 1526
1528 G4complex G4NuclNuclDiffuseElastic::GetErfInt 1527 G4complex G4NuclNuclDiffuseElastic::GetErfInt(G4complex z) // , G4int nMax)
1529 { 1528 {
1530 G4double outRe, outIm; 1529 G4double outRe, outIm;
1531 1530
1532 G4double x = z.real(); 1531 G4double x = z.real();
1533 G4double y = z.imag(); 1532 G4double y = z.imag();
1534 fReZ = x; 1533 fReZ = x;
1535 1534
1536 G4Integrator<G4NuclNuclDiffuseElastic,G4dou 1535 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
1537 1536
1538 outRe = integral.Legendre96(this,&G4NuclNuc 1537 outRe = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetExpSin, 0., y );
1539 outIm = integral.Legendre96(this,&G4NuclNuc 1538 outIm = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetExpCos, 0., y );
1540 1539
1541 outRe *= 2./std::sqrt(CLHEP::pi); 1540 outRe *= 2./std::sqrt(CLHEP::pi);
1542 outIm *= 2./std::sqrt(CLHEP::pi); 1541 outIm *= 2./std::sqrt(CLHEP::pi);
1543 1542
1544 outRe += GetErf(x); 1543 outRe += GetErf(x);
1545 1544
1546 return G4complex(outRe, outIm); 1545 return G4complex(outRe, outIm);
1547 } 1546 }
1548 1547
1549 ///////////////////////////////////////////// 1548 /////////////////////////////////////////////////////////////////
1550 // 1549 //
1551 // 1550 //
1552 1551
1553 1552
1554 G4complex G4NuclNuclDiffuseElastic::GammaLess 1553 G4complex G4NuclNuclDiffuseElastic::GammaLess(G4double theta)
1555 { 1554 {
1556 G4double sinThetaR = 2.*fHalfRutThetaT 1555 G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg2);
1557 G4double cosHalfThetaR2 = 1./(1. + fHalfRut 1556 G4double cosHalfThetaR2 = 1./(1. + fHalfRutThetaTg2);
1558 1557
1559 G4double u = std::sqrt(0.5*fPr 1558 G4double u = std::sqrt(0.5*fProfileLambda/sinThetaR);
1560 G4double kappa = u/std::sqrt(CLHEP 1559 G4double kappa = u/std::sqrt(CLHEP::pi);
1561 G4double dTheta = theta - fRutherfo 1560 G4double dTheta = theta - fRutherfordTheta;
1562 u *= dTheta; 1561 u *= dTheta;
1563 G4double u2 = u*u; 1562 G4double u2 = u*u;
1564 G4double u2m2p3 = u2*2./3.; 1563 G4double u2m2p3 = u2*2./3.;
1565 1564
1566 G4complex im = G4complex(0.,1.); 1565 G4complex im = G4complex(0.,1.);
1567 G4complex order = G4complex(u,u); 1566 G4complex order = G4complex(u,u);
1568 order /= std::sqrt(2.); 1567 order /= std::sqrt(2.);
1569 1568
1570 G4complex gamma = CLHEP::pi*kappa*G 1569 G4complex gamma = CLHEP::pi*kappa*GetErfcInt(-order)*std::exp(im*(u*u+0.25*CLHEP::pi));
1571 G4complex a0 = 0.5*(1. + 4.*(1.+ 1570 G4complex a0 = 0.5*(1. + 4.*(1.+im*u2)*cosHalfThetaR2/3.)/sinThetaR;
1572 G4complex a1 = 0.5*(1. + 2.*(1.+ 1571 G4complex a1 = 0.5*(1. + 2.*(1.+im*u2m2p3)*cosHalfThetaR2)/sinThetaR;
1573 G4complex out = gamma*(1. - a1*dT 1572 G4complex out = gamma*(1. - a1*dTheta) - a0;
1574 1573
1575 return out; 1574 return out;
1576 } 1575 }
1577 1576
1578 ///////////////////////////////////////////// 1577 /////////////////////////////////////////////////////////////////
1579 // 1578 //
1580 // 1579 //
1581 1580
1582 G4complex G4NuclNuclDiffuseElastic::GammaMore 1581 G4complex G4NuclNuclDiffuseElastic::GammaMore(G4double theta)
1583 { 1582 {
1584 G4double sinThetaR = 2.*fHalfRutThetaT 1583 G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg2);
1585 G4double cosHalfThetaR2 = 1./(1. + fHalfRut 1584 G4double cosHalfThetaR2 = 1./(1. + fHalfRutThetaTg2);
1586 1585
1587 G4double u = std::sqrt(0.5*fPr 1586 G4double u = std::sqrt(0.5*fProfileLambda/sinThetaR);
1588 G4double kappa = u/std::sqrt(CLHEP 1587 G4double kappa = u/std::sqrt(CLHEP::pi);
1589 G4double dTheta = theta - fRutherfo 1588 G4double dTheta = theta - fRutherfordTheta;
1590 u *= dTheta; 1589 u *= dTheta;
1591 G4double u2 = u*u; 1590 G4double u2 = u*u;
1592 G4double u2m2p3 = u2*2./3.; 1591 G4double u2m2p3 = u2*2./3.;
1593 1592
1594 G4complex im = G4complex(0.,1.); 1593 G4complex im = G4complex(0.,1.);
1595 G4complex order = G4complex(u,u); 1594 G4complex order = G4complex(u,u);
1596 order /= std::sqrt(2.); 1595 order /= std::sqrt(2.);
1597 G4complex gamma = CLHEP::pi*kappa*G 1596 G4complex gamma = CLHEP::pi*kappa*GetErfcInt(order)*std::exp(im*(u*u+0.25*CLHEP::pi));
1598 G4complex a0 = 0.5*(1. + 4.*(1.+ 1597 G4complex a0 = 0.5*(1. + 4.*(1.+im*u2)*cosHalfThetaR2/3.)/sinThetaR;
1599 G4complex a1 = 0.5*(1. + 2.*(1.+ 1598 G4complex a1 = 0.5*(1. + 2.*(1.+im*u2m2p3)*cosHalfThetaR2)/sinThetaR;
1600 G4complex out = -gamma*(1. - a1*d 1599 G4complex out = -gamma*(1. - a1*dTheta) - a0;
1601 1600
1602 return out; 1601 return out;
1603 } 1602 }
1604 1603
1605 ///////////////////////////////////////////// 1604 /////////////////////////////////////////////////////////////////
1606 // 1605 //
1607 // 1606 //
1608 1607
1609 G4complex G4NuclNuclDiffuseElastic::Amplitud 1608 G4complex G4NuclNuclDiffuseElastic::AmplitudeNear(G4double theta)
1610 { 1609 {
1611 G4double kappa = std::sqrt(0.5*fProfileLamb 1610 G4double kappa = std::sqrt(0.5*fProfileLambda/std::sin(theta)/CLHEP::pi);
1612 G4complex out = G4complex(kappa/fWaveVector 1611 G4complex out = G4complex(kappa/fWaveVector,0.);
1613 1612
1614 out *= PhaseNear(theta); 1613 out *= PhaseNear(theta);
1615 1614
1616 if( theta <= fRutherfordTheta ) 1615 if( theta <= fRutherfordTheta )
1617 { 1616 {
1618 out *= GammaLess(theta) + ProfileNear(the 1617 out *= GammaLess(theta) + ProfileNear(theta);
1619 // out *= GammaMore(theta) + ProfileNear( 1618 // out *= GammaMore(theta) + ProfileNear(theta);
1620 out += CoulombAmplitude(theta); 1619 out += CoulombAmplitude(theta);
1621 } 1620 }
1622 else 1621 else
1623 { 1622 {
1624 out *= GammaMore(theta) + ProfileNear(the 1623 out *= GammaMore(theta) + ProfileNear(theta);
1625 // out *= GammaLess(theta) + ProfileNear( 1624 // out *= GammaLess(theta) + ProfileNear(theta);
1626 } 1625 }
1627 return out; 1626 return out;
1628 } 1627 }
1629 1628
1630 ///////////////////////////////////////////// 1629 /////////////////////////////////////////////////////////////////
1631 // 1630 //
1632 // 1631 //
1633 1632
1634 G4complex G4NuclNuclDiffuseElastic::Amplitude 1633 G4complex G4NuclNuclDiffuseElastic::AmplitudeSim(G4double theta)
1635 { 1634 {
1636 G4double sinThetaR = 2.*fHalfRutThetaTg/(1 1635 G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg2);
1637 G4double dTheta = 0.5*(theta - fRutherf 1636 G4double dTheta = 0.5*(theta - fRutherfordTheta);
1638 G4double sindTheta = std::sin(dTheta); 1637 G4double sindTheta = std::sin(dTheta);
1639 G4double persqrt2 = std::sqrt(0.5); 1638 G4double persqrt2 = std::sqrt(0.5);
1640 1639
1641 G4complex order = G4complex(persqrt2,pe 1640 G4complex order = G4complex(persqrt2,persqrt2);
1642 order *= std::sqrt(0.5*fProfil 1641 order *= std::sqrt(0.5*fProfileLambda/sinThetaR)*2.*sindTheta;
1643 // order *= std::sqrt(0.5*fPro 1642 // order *= std::sqrt(0.5*fProfileLambda/sinThetaR)*2.*dTheta;
1644 1643
1645 G4complex out; 1644 G4complex out;
1646 1645
1647 if ( theta <= fRutherfordTheta ) 1646 if ( theta <= fRutherfordTheta )
1648 { 1647 {
1649 out = 1. - 0.5*GetErfcInt(-order)*Profile 1648 out = 1. - 0.5*GetErfcInt(-order)*ProfileNear(theta);
1650 } 1649 }
1651 else 1650 else
1652 { 1651 {
1653 out = 0.5*GetErfcInt(order)*ProfileNear(t 1652 out = 0.5*GetErfcInt(order)*ProfileNear(theta);
1654 } 1653 }
1655 1654
1656 out *= CoulombAmplitude(theta); 1655 out *= CoulombAmplitude(theta);
1657 1656
1658 return out; 1657 return out;
1659 } 1658 }
1660 1659
1661 ///////////////////////////////////////////// 1660 /////////////////////////////////////////////////////////////////
1662 // 1661 //
1663 // 1662 //
1664 1663
1665 G4complex G4NuclNuclDiffuseElastic::Amplitud 1664 G4complex G4NuclNuclDiffuseElastic::AmplitudeGla(G4double theta)
1666 { 1665 {
1667 G4int n; 1666 G4int n;
1668 G4double T12b, b, b2; // cosTheta = std::co 1667 G4double T12b, b, b2; // cosTheta = std::cos(theta);
1669 G4complex out = G4complex(0.,0.), shiftC, s 1668 G4complex out = G4complex(0.,0.), shiftC, shiftN;
1670 G4complex im = G4complex(0.,1.); 1669 G4complex im = G4complex(0.,1.);
1671 1670
1672 for( n = 0; n < fMaxL; n++) 1671 for( n = 0; n < fMaxL; n++)
1673 { 1672 {
1674 shiftC = std::exp( im*2.*CalculateCoulomb 1673 shiftC = std::exp( im*2.*CalculateCoulombPhase(n) );
1675 // b = ( fZommerfeld + std::sqrt( fZommer 1674 // b = ( fZommerfeld + std::sqrt( fZommerfeld*fZommerfeld + n*(n+1) ) )/fWaveVector;
1676 b = ( std::sqrt( G4double(n*(n+1)) ) )/fW 1675 b = ( std::sqrt( G4double(n*(n+1)) ) )/fWaveVector;
1677 b2 = b*b; 1676 b2 = b*b;
1678 T12b = fSumSigma*G4Exp(-b2/fNuclearRadius 1677 T12b = fSumSigma*G4Exp(-b2/fNuclearRadiusSquare)/CLHEP::pi/fNuclearRadiusSquare;
1679 shiftN = std::exp( -0.5*(1.-im*fEtaRatio) 1678 shiftN = std::exp( -0.5*(1.-im*fEtaRatio)*T12b ) - 1.;
1680 out += (2.*n+1.)*shiftC*shiftN*GetLegend 1679 out += (2.*n+1.)*shiftC*shiftN*GetLegendrePol(n, theta);
1681 } 1680 }
1682 out /= 2.*im*fWaveVector; 1681 out /= 2.*im*fWaveVector;
1683 out += CoulombAmplitude(theta); 1682 out += CoulombAmplitude(theta);
1684 return out; 1683 return out;
1685 } 1684 }
1686 1685
1687 1686
1688 ///////////////////////////////////////////// 1687 /////////////////////////////////////////////////////////////////
1689 // 1688 //
1690 // 1689 //
1691 1690
1692 G4complex G4NuclNuclDiffuseElastic::Amplitud 1691 G4complex G4NuclNuclDiffuseElastic::AmplitudeGG(G4double theta)
1693 { 1692 {
1694 G4int n; 1693 G4int n;
1695 G4double T12b, a, aTemp, b2, sinThetaH = st 1694 G4double T12b, a, aTemp, b2, sinThetaH = std::sin(0.5*theta);
1696 G4double sinThetaH2 = sinThetaH*sinThetaH; 1695 G4double sinThetaH2 = sinThetaH*sinThetaH;
1697 G4complex out = G4complex(0.,0.); 1696 G4complex out = G4complex(0.,0.);
1698 G4complex im = G4complex(0.,1.); 1697 G4complex im = G4complex(0.,1.);
1699 1698
1700 a = -fSumSigma/CLHEP::twopi/fNuclearRadius 1699 a = -fSumSigma/CLHEP::twopi/fNuclearRadiusSquare;
1701 b2 = fWaveVector*fWaveVector*fNuclearRadius 1700 b2 = fWaveVector*fWaveVector*fNuclearRadiusSquare*sinThetaH2;
1702 1701
1703 aTemp = a; 1702 aTemp = a;
1704 1703
1705 for( n = 1; n < fMaxL; n++) 1704 for( n = 1; n < fMaxL; n++)
1706 { 1705 {
1707 T12b = aTemp*G4Exp(-b2/n)/n; 1706 T12b = aTemp*G4Exp(-b2/n)/n;
1708 aTemp *= a; 1707 aTemp *= a;
1709 out += T12b; 1708 out += T12b;
1710 G4cout<<"out = "<<out<<G4endl; 1709 G4cout<<"out = "<<out<<G4endl;
1711 } 1710 }
1712 out *= -4.*im*fWaveVector/CLHEP::pi; 1711 out *= -4.*im*fWaveVector/CLHEP::pi;
1713 out += CoulombAmplitude(theta); 1712 out += CoulombAmplitude(theta);
1714 return out; 1713 return out;
1715 } 1714 }
1716 1715
1717 1716
1718 ///////////////////////////////////////////// 1717 ///////////////////////////////////////////////////////////////////////////////
1719 // 1718 //
1720 // Test for given particle and element table 1719 // Test for given particle and element table of momentum, angle probability.
1721 // For the partMom in CMS. 1720 // For the partMom in CMS.
1722 1721
1723 void G4NuclNuclDiffuseElastic::InitParameters 1722 void G4NuclNuclDiffuseElastic::InitParameters(const G4ParticleDefinition* theParticle,
1724 G4d 1723 G4double partMom, G4double Z, G4double A)
1725 { 1724 {
1726 fAtomicNumber = Z; // atomic number 1725 fAtomicNumber = Z; // atomic number
1727 fAtomicWeight = A; // number of nucleo 1726 fAtomicWeight = A; // number of nucleons
1728 1727
1729 fNuclearRadius2 = CalculateNuclearRad(fAtom 1728 fNuclearRadius2 = CalculateNuclearRad(fAtomicWeight);
1730 G4double A1 = G4double( theParticle->Ge 1729 G4double A1 = G4double( theParticle->GetBaryonNumber() );
1731 fNuclearRadius1 = CalculateNuclearRad(A1); 1730 fNuclearRadius1 = CalculateNuclearRad(A1);
1732 // fNuclearRadius = std::sqrt(fNuclearRadiu 1731 // fNuclearRadius = std::sqrt(fNuclearRadius1*fNuclearRadius1+fNuclearRadius2*fNuclearRadius2);
1733 fNuclearRadius = fNuclearRadius1 + fNuclear 1732 fNuclearRadius = fNuclearRadius1 + fNuclearRadius2;
1734 1733
1735 G4double a = 0.; 1734 G4double a = 0.;
1736 G4double z = theParticle->GetPDGCharge(); 1735 G4double z = theParticle->GetPDGCharge();
1737 G4double m1 = theParticle->GetPDGMass(); 1736 G4double m1 = theParticle->GetPDGMass();
1738 1737
1739 fWaveVector = partMom/CLHEP::hbarc; 1738 fWaveVector = partMom/CLHEP::hbarc;
1740 1739
1741 G4double lambda = fCofLambda*fWaveVector*fN 1740 G4double lambda = fCofLambda*fWaveVector*fNuclearRadius;
1742 G4cout<<"kR = "<<lambda<<G4endl; 1741 G4cout<<"kR = "<<lambda<<G4endl;
1743 1742
1744 if( z ) 1743 if( z )
1745 { 1744 {
1746 a = partMom/m1; // beta*gamma f 1745 a = partMom/m1; // beta*gamma for m1
1747 fBeta = a/std::sqrt(1+a*a); 1746 fBeta = a/std::sqrt(1+a*a);
1748 fZommerfeld = CalculateZommerfeld( fBeta, 1747 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1749 fRutherfordRatio = fZommerfeld/fWaveVecto 1748 fRutherfordRatio = fZommerfeld/fWaveVector;
1750 fAm = CalculateAm( partMom, fZomm 1749 fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1751 } 1750 }
1752 G4cout<<"fZommerfeld = "<<fZommerfeld<<G4en 1751 G4cout<<"fZommerfeld = "<<fZommerfeld<<G4endl;
1753 fProfileLambda = lambda; // *std::sqrt(1.-2 1752 fProfileLambda = lambda; // *std::sqrt(1.-2*fZommerfeld/lambda);
1754 G4cout<<"fProfileLambda = "<<fProfileLambda 1753 G4cout<<"fProfileLambda = "<<fProfileLambda<<G4endl;
1755 fProfileDelta = fCofDelta*fProfileLambda; 1754 fProfileDelta = fCofDelta*fProfileLambda;
1756 fProfileAlpha = fCofAlpha*fProfileLambda; 1755 fProfileAlpha = fCofAlpha*fProfileLambda;
1757 1756
1758 CalculateCoulombPhaseZero(); 1757 CalculateCoulombPhaseZero();
1759 CalculateRutherfordAnglePar(); 1758 CalculateRutherfordAnglePar();
1760 1759
1761 return; 1760 return;
1762 } 1761 }
1763 ///////////////////////////////////////////// 1762 ///////////////////////////////////////////////////////////////////////////////
1764 // 1763 //
1765 // Test for given particle and element table 1764 // Test for given particle and element table of momentum, angle probability.
1766 // For the partMom in CMS. 1765 // For the partMom in CMS.
1767 1766
1768 void G4NuclNuclDiffuseElastic::InitDynParamet 1767 void G4NuclNuclDiffuseElastic::InitDynParameters(const G4ParticleDefinition* theParticle,
1769 G4d 1768 G4double partMom)
1770 { 1769 {
1771 G4double a = 0.; 1770 G4double a = 0.;
1772 G4double z = theParticle->GetPDGCharge(); 1771 G4double z = theParticle->GetPDGCharge();
1773 G4double m1 = theParticle->GetPDGMass(); 1772 G4double m1 = theParticle->GetPDGMass();
1774 1773
1775 fWaveVector = partMom/CLHEP::hbarc; 1774 fWaveVector = partMom/CLHEP::hbarc;
1776 1775
1777 G4double lambda = fCofLambda*fWaveVector*fN 1776 G4double lambda = fCofLambda*fWaveVector*fNuclearRadius;
1778 1777
1779 if( z ) 1778 if( z )
1780 { 1779 {
1781 a = partMom/m1; // beta*gamma f 1780 a = partMom/m1; // beta*gamma for m1
1782 fBeta = a/std::sqrt(1+a*a); 1781 fBeta = a/std::sqrt(1+a*a);
1783 fZommerfeld = CalculateZommerfeld( fBeta, 1782 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1784 fRutherfordRatio = fZommerfeld/fWaveVecto 1783 fRutherfordRatio = fZommerfeld/fWaveVector;
1785 fAm = CalculateAm( partMom, fZomm 1784 fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1786 } 1785 }
1787 fProfileLambda = lambda; // *std::sqrt(1.-2 1786 fProfileLambda = lambda; // *std::sqrt(1.-2*fZommerfeld/lambda);
1788 fProfileDelta = fCofDelta*fProfileLambda; 1787 fProfileDelta = fCofDelta*fProfileLambda;
1789 fProfileAlpha = fCofAlpha*fProfileLambda; 1788 fProfileAlpha = fCofAlpha*fProfileLambda;
1790 1789
1791 CalculateCoulombPhaseZero(); 1790 CalculateCoulombPhaseZero();
1792 CalculateRutherfordAnglePar(); 1791 CalculateRutherfordAnglePar();
1793 1792
1794 return; 1793 return;
1795 } 1794 }
1796 1795
1797 1796
1798 ///////////////////////////////////////////// 1797 ///////////////////////////////////////////////////////////////////////////////
1799 // 1798 //
1800 // Test for given particle and element table 1799 // Test for given particle and element table of momentum, angle probability.
1801 // For the partMom in CMS. 1800 // For the partMom in CMS.
1802 1801
1803 void G4NuclNuclDiffuseElastic::InitParameters 1802 void G4NuclNuclDiffuseElastic::InitParametersGla(const G4DynamicParticle* aParticle,
1804 G4d 1803 G4double partMom, G4double Z, G4double A)
1805 { 1804 {
1806 fAtomicNumber = Z; // target atomic nu 1805 fAtomicNumber = Z; // target atomic number
1807 fAtomicWeight = A; // target number of 1806 fAtomicWeight = A; // target number of nucleons
1808 1807
1809 fNuclearRadius2 = CalculateNuclearRad(fAtom 1808 fNuclearRadius2 = CalculateNuclearRad(fAtomicWeight); // target nucleus radius
1810 G4double A1 = G4double( aParticle->GetD 1809 G4double A1 = G4double( aParticle->GetDefinition()->GetBaryonNumber() );
1811 fNuclearRadius1 = CalculateNuclearRad(A1); 1810 fNuclearRadius1 = CalculateNuclearRad(A1); // projectile nucleus radius
1812 fNuclearRadiusSquare = fNuclearRadius1*fNuc 1811 fNuclearRadiusSquare = fNuclearRadius1*fNuclearRadius1+fNuclearRadius2*fNuclearRadius2;
1813 1812
1814 1813
1815 G4double a = 0., kR12; 1814 G4double a = 0., kR12;
1816 G4double z = aParticle->GetDefinition()->G 1815 G4double z = aParticle->GetDefinition()->GetPDGCharge();
1817 G4double m1 = aParticle->GetDefinition()->G 1816 G4double m1 = aParticle->GetDefinition()->GetPDGMass();
1818 1817
1819 fWaveVector = partMom/CLHEP::hbarc; 1818 fWaveVector = partMom/CLHEP::hbarc;
1820 1819
1821 G4double pN = A1 - z; 1820 G4double pN = A1 - z;
1822 if( pN < 0. ) pN = 0.; 1821 if( pN < 0. ) pN = 0.;
1823 1822
1824 G4double tN = A - Z; 1823 G4double tN = A - Z;
1825 if( tN < 0. ) tN = 0.; 1824 if( tN < 0. ) tN = 0.;
1826 1825
1827 G4double pTkin = aParticle->GetKineticEnerg 1826 G4double pTkin = aParticle->GetKineticEnergy();
1828 pTkin /= A1; 1827 pTkin /= A1;
1829 1828
1830 1829
1831 fSumSigma = (Z*z+pN*tN)*GetHadronNucleonXsc 1830 fSumSigma = (Z*z+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) +
1832 (z*tN+pN*Z)*GetHadronNucleonXsc 1831 (z*tN+pN*Z)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron);
1833 1832
1834 G4cout<<"fSumSigma = "<<fSumSigma/CLHEP::mi 1833 G4cout<<"fSumSigma = "<<fSumSigma/CLHEP::millibarn<<" mb"<<G4endl;
1835 G4cout<<"pi*R2 = "<<CLHEP::pi*fNuclearRadiu 1834 G4cout<<"pi*R2 = "<<CLHEP::pi*fNuclearRadiusSquare/CLHEP::millibarn<<" mb"<<G4endl;
1836 kR12 = fWaveVector*std::sqrt(fNuclearRadius 1835 kR12 = fWaveVector*std::sqrt(fNuclearRadiusSquare);
1837 G4cout<<"k*sqrt(R2) = "<<kR12<<" "<<G4endl; 1836 G4cout<<"k*sqrt(R2) = "<<kR12<<" "<<G4endl;
1838 fMaxL = (G4int(kR12)+1)*4; 1837 fMaxL = (G4int(kR12)+1)*4;
1839 G4cout<<"fMaxL = "<<fMaxL<<" "<<G4endl; 1838 G4cout<<"fMaxL = "<<fMaxL<<" "<<G4endl;
1840 1839
1841 if( z ) 1840 if( z )
1842 { 1841 {
1843 a = partMom/m1; // beta*gamma 1842 a = partMom/m1; // beta*gamma for m1
1844 fBeta = a/std::sqrt(1+a*a); 1843 fBeta = a/std::sqrt(1+a*a);
1845 fZommerfeld = CalculateZommerfeld( fBet 1844 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1846 fAm = CalculateAm( partMom, fZo 1845 fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1847 } 1846 }
1848 1847
1849 CalculateCoulombPhaseZero(); 1848 CalculateCoulombPhaseZero();
1850 1849
1851 1850
1852 return; 1851 return;
1853 } 1852 }
1854 1853
1855 1854
1856 ///////////////////////////////////////////// 1855 /////////////////////////////////////////////////////////////////////////////////////
1857 // 1856 //
1858 // Returns nucleon-nucleon cross-section base 1857 // Returns nucleon-nucleon cross-section based on N. Starkov parametrisation of
1859 // data from mainly http://wwwppds.ihep.su:80 1858 // data from mainly http://wwwppds.ihep.su:8001/c5-6A.html database
1860 // projectile nucleon is pParticle with pTkin 1859 // projectile nucleon is pParticle with pTkin shooting target nucleon tParticle
1861 1860
1862 G4double 1861 G4double
1863 G4NuclNuclDiffuseElastic::GetHadronNucleonXsc 1862 G4NuclNuclDiffuseElastic::GetHadronNucleonXscNS( G4ParticleDefinition* pParticle,
1864 1863 G4double pTkin,
1865 1864 G4ParticleDefinition* tParticle)
1866 { 1865 {
1867 G4double xsection(0), /*Delta,*/ A0, B0; 1866 G4double xsection(0), /*Delta,*/ A0, B0;
1868 G4double hpXsc(0); 1867 G4double hpXsc(0);
1869 G4double hnXsc(0); 1868 G4double hnXsc(0);
1870 1869
1871 1870
1872 G4double targ_mass = tParticle->GetPDGM 1871 G4double targ_mass = tParticle->GetPDGMass();
1873 G4double proj_mass = pParticle->GetPDGM 1872 G4double proj_mass = pParticle->GetPDGMass();
1874 1873
1875 G4double proj_energy = proj_mass + pTkin; 1874 G4double proj_energy = proj_mass + pTkin;
1876 G4double proj_momentum = std::sqrt(pTkin*(p 1875 G4double proj_momentum = std::sqrt(pTkin*(pTkin+2*proj_mass));
1877 1876
1878 G4double sMand = CalcMandelstamS ( proj_mas 1877 G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum );
1879 1878
1880 sMand /= CLHEP::GeV*CLHEP::GeV; // 1879 sMand /= CLHEP::GeV*CLHEP::GeV; // in GeV for parametrisation
1881 proj_momentum /= CLHEP::GeV; 1880 proj_momentum /= CLHEP::GeV;
1882 proj_energy /= CLHEP::GeV; 1881 proj_energy /= CLHEP::GeV;
1883 proj_mass /= CLHEP::GeV; 1882 proj_mass /= CLHEP::GeV;
1884 G4double logS = G4Log(sMand); 1883 G4double logS = G4Log(sMand);
1885 1884
1886 // General PDG fit constants 1885 // General PDG fit constants
1887 1886
1888 1887
1889 // fEtaRatio=Re[f(0)]/Im[f(0)] 1888 // fEtaRatio=Re[f(0)]/Im[f(0)]
1890 1889
1891 if( proj_momentum >= 1.2 ) 1890 if( proj_momentum >= 1.2 )
1892 { 1891 {
1893 fEtaRatio = 0.13*(logS - 5.8579332)*G4Po 1892 fEtaRatio = 0.13*(logS - 5.8579332)*G4Pow::GetInstance()->powA(sMand,-0.18);
1894 } 1893 }
1895 else if( proj_momentum >= 0.6 ) 1894 else if( proj_momentum >= 0.6 )
1896 { 1895 {
1897 fEtaRatio = -75.5*(G4Pow::GetInstance()-> 1896 fEtaRatio = -75.5*(G4Pow::GetInstance()->powA(proj_momentum,0.25)-0.95)/
1898 (G4Pow::GetInstance()->powA(3*proj_moment 1897 (G4Pow::GetInstance()->powA(3*proj_momentum,2.2)+1);
1899 } 1898 }
1900 else 1899 else
1901 { 1900 {
1902 fEtaRatio = 15.5*proj_momentum/(27*proj_m 1901 fEtaRatio = 15.5*proj_momentum/(27*proj_momentum*proj_momentum*proj_momentum+2);
1903 } 1902 }
1904 G4cout<<"fEtaRatio = "<<fEtaRatio<<G4endl; 1903 G4cout<<"fEtaRatio = "<<fEtaRatio<<G4endl;
1905 1904
1906 // xsc 1905 // xsc
1907 1906
1908 if( proj_momentum >= 10. ) // high energy: 1907 if( proj_momentum >= 10. ) // high energy: pp = nn = np
1909 // if( proj_momentum >= 2.) 1908 // if( proj_momentum >= 2.)
1910 { 1909 {
1911 //Delta = 1.; 1910 //Delta = 1.;
1912 1911
1913 //if( proj_energy < 40. ) Delta = 0.916+0 1912 //if( proj_energy < 40. ) Delta = 0.916+0.0021*proj_energy;
1914 1913
1915 //AR-12Aug2016 if( proj_momentum >= 10.) 1914 //AR-12Aug2016 if( proj_momentum >= 10.)
1916 { 1915 {
1917 B0 = 7.5; 1916 B0 = 7.5;
1918 A0 = 100. - B0*G4Log(3.0e7); 1917 A0 = 100. - B0*G4Log(3.0e7);
1919 1918
1920 xsection = A0 + B0*G4Log(proj_energy) 1919 xsection = A0 + B0*G4Log(proj_energy) - 11
1921 + 103*G4Pow::GetInstance()- 1920 + 103*G4Pow::GetInstance()->powA(2*0.93827*proj_energy + proj_mass*proj_mass+
1922 0.93827*0.93827,-0.165); 1921 0.93827*0.93827,-0.165); // mb
1923 } 1922 }
1924 } 1923 }
1925 else // low energy pp = nn != np 1924 else // low energy pp = nn != np
1926 { 1925 {
1927 if(pParticle == tParticle) // pp or nn 1926 if(pParticle == tParticle) // pp or nn // nn to be pp
1928 { 1927 {
1929 if( proj_momentum < 0.73 ) 1928 if( proj_momentum < 0.73 )
1930 { 1929 {
1931 hnXsc = 23 + 50*( G4Pow::GetInstanc 1930 hnXsc = 23 + 50*( G4Pow::GetInstance()->powA( G4Log(0.73/proj_momentum), 3.5 ) );
1932 } 1931 }
1933 else if( proj_momentum < 1.05 ) 1932 else if( proj_momentum < 1.05 )
1934 { 1933 {
1935 hnXsc = 23 + 40*(G4Log(proj_momentu 1934 hnXsc = 23 + 40*(G4Log(proj_momentum/0.73))*
1936 (G4Log(proj_momentum 1935 (G4Log(proj_momentum/0.73));
1937 } 1936 }
1938 else // if( proj_momentum < 10. ) 1937 else // if( proj_momentum < 10. )
1939 { 1938 {
1940 hnXsc = 39.0 + 1939 hnXsc = 39.0 +
1941 75*(proj_momentum - 1.2)/(G4Pow 1940 75*(proj_momentum - 1.2)/(G4Pow::GetInstance()->powA(proj_momentum,3.0) + 0.15);
1942 } 1941 }
1943 xsection = hnXsc; 1942 xsection = hnXsc;
1944 } 1943 }
1945 else // pn to be np 1944 else // pn to be np
1946 { 1945 {
1947 if( proj_momentum < 0.8 ) 1946 if( proj_momentum < 0.8 )
1948 { 1947 {
1949 hpXsc = 33+30*G4Pow::GetInstance()- 1948 hpXsc = 33+30*G4Pow::GetInstance()->powA(G4Log(proj_momentum/1.3),4.0);
1950 } 1949 }
1951 else if( proj_momentum < 1.4 ) 1950 else if( proj_momentum < 1.4 )
1952 { 1951 {
1953 hpXsc = 33+30*G4Pow::GetInstance()- 1952 hpXsc = 33+30*G4Pow::GetInstance()->powA(G4Log(proj_momentum/0.95),2.0);
1954 } 1953 }
1955 else // if( proj_momentum < 10. ) 1954 else // if( proj_momentum < 10. )
1956 { 1955 {
1957 hpXsc = 33.3+ 1956 hpXsc = 33.3+
1958 20.8*(G4Pow::GetInstance()->pow 1957 20.8*(G4Pow::GetInstance()->powA(proj_momentum,2.0)-1.35)/
1959 (G4Pow::GetInstance()->powA( 1958 (G4Pow::GetInstance()->powA(proj_momentum,2.50)+0.95);
1960 } 1959 }
1961 xsection = hpXsc; 1960 xsection = hpXsc;
1962 } 1961 }
1963 } 1962 }
1964 xsection *= CLHEP::millibarn; // parametris 1963 xsection *= CLHEP::millibarn; // parametrised in mb
1965 G4cout<<"xsection = "<<xsection/CLHEP::mill 1964 G4cout<<"xsection = "<<xsection/CLHEP::millibarn<<" mb"<<G4endl;
1966 return xsection; 1965 return xsection;
1967 } 1966 }
1968 1967
1969 ///////////////////////////////////////////// 1968 /////////////////////////////////////////////////////////////////
1970 // 1969 //
1971 // The ratio el/ruth for Fresnel smooth nucle 1970 // The ratio el/ruth for Fresnel smooth nucleus profile
1972 1971
1973 G4double G4NuclNuclDiffuseElastic::GetRatioGe 1972 G4double G4NuclNuclDiffuseElastic::GetRatioGen(G4double theta)
1974 { 1973 {
1975 G4double sinThetaR = 2.*fHalfRutThetaTg/(1 1974 G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg2);
1976 G4double dTheta = 0.5*(theta - fRutherf 1975 G4double dTheta = 0.5*(theta - fRutherfordTheta);
1977 G4double sindTheta = std::sin(dTheta); 1976 G4double sindTheta = std::sin(dTheta);
1978 1977
1979 G4double prof = Profile(theta); 1978 G4double prof = Profile(theta);
1980 G4double prof2 = prof*prof; 1979 G4double prof2 = prof*prof;
1981 // G4double profmod = std::abs(prof); 1980 // G4double profmod = std::abs(prof);
1982 G4double order = std::sqrt(fProfileLam 1981 G4double order = std::sqrt(fProfileLambda/sinThetaR/CLHEP::pi)*2.*sindTheta;
1983 1982
1984 order = std::abs(order); // since sin chang 1983 order = std::abs(order); // since sin changes sign!
1985 // G4cout<<"order = "<<order<<G4endl; 1984 // G4cout<<"order = "<<order<<G4endl;
1986 1985
1987 G4double cosFresnel = GetCint(order); 1986 G4double cosFresnel = GetCint(order);
1988 G4double sinFresnel = GetSint(order); 1987 G4double sinFresnel = GetSint(order);
1989 1988
1990 G4double out; 1989 G4double out;
1991 1990
1992 if ( theta <= fRutherfordTheta ) 1991 if ( theta <= fRutherfordTheta )
1993 { 1992 {
1994 out = 1. + 0.5*( (0.5-cosFresnel)*(0.5-c 1993 out = 1. + 0.5*( (0.5-cosFresnel)*(0.5-cosFresnel)+(0.5-sinFresnel)*(0.5-sinFresnel) )*prof2;
1995 out += ( cosFresnel + sinFresnel - 1. )*p 1994 out += ( cosFresnel + sinFresnel - 1. )*prof;
1996 } 1995 }
1997 else 1996 else
1998 { 1997 {
1999 out = 0.5*( (0.5-cosFresnel)*(0.5-cosFres 1998 out = 0.5*( (0.5-cosFresnel)*(0.5-cosFresnel)+(0.5-sinFresnel)*(0.5-sinFresnel) )*prof2;
2000 } 1999 }
2001 2000
2002 return out; 2001 return out;
2003 } 2002 }
2004 2003
2005 ///////////////////////////////////////////// 2004 ///////////////////////////////////////////////////////////////////
2006 // 2005 //
2007 // For the calculation of arg Gamma(z) one ne 2006 // For the calculation of arg Gamma(z) one needs complex extension
2008 // of ln(Gamma(z)) 2007 // of ln(Gamma(z))
2009 2008
2010 G4complex G4NuclNuclDiffuseElastic::GammaLoga 2009 G4complex G4NuclNuclDiffuseElastic::GammaLogarithm(G4complex zz)
2011 { 2010 {
2012 const G4double cof[6] = { 76.18009172947146 2011 const G4double cof[6] = { 76.18009172947146, -86.50532032941677,
2013 24.0140982408309 2012 24.01409824083091, -1.231739572450155,
2014 0.1208650973866 2013 0.1208650973866179e-2, -0.5395239384953e-5 } ;
2015 G4int j; 2014 G4int j;
2016 G4complex z = zz - 1.0; 2015 G4complex z = zz - 1.0;
2017 G4complex tmp = z + 5.5; 2016 G4complex tmp = z + 5.5;
2018 tmp -= (z + 0.5) * std::log(tmp); 2017 tmp -= (z + 0.5) * std::log(tmp);
2019 G4complex ser = G4complex(1.000000000190015 2018 G4complex ser = G4complex(1.000000000190015,0.);
2020 2019
2021 for ( j = 0; j <= 5; j++ ) 2020 for ( j = 0; j <= 5; j++ )
2022 { 2021 {
2023 z += 1.0; 2022 z += 1.0;
2024 ser += cof[j]/z; 2023 ser += cof[j]/z;
2025 } 2024 }
2026 return -tmp + std::log(2.5066282746310005*s 2025 return -tmp + std::log(2.5066282746310005*ser);
2027 } 2026 }
2028 2027
2029 ///////////////////////////////////////////// 2028 /////////////////////////////////////////////////////////////
2030 // 2029 //
2031 // Bessel J0 function based on rational appro 2030 // Bessel J0 function based on rational approximation from
2032 // J.F. Hart, Computer Approximations, New Yo 2031 // J.F. Hart, Computer Approximations, New York, Willey 1968, p. 141
2033 2032
2034 G4double G4NuclNuclDiffuseElastic::BesselJzer 2033 G4double G4NuclNuclDiffuseElastic::BesselJzero(G4double value)
2035 { 2034 {
2036 G4double modvalue, value2, fact1, fact2, ar 2035 G4double modvalue, value2, fact1, fact2, arg, shift, bessel;
2037 2036
2038 modvalue = std::fabs(value); 2037 modvalue = std::fabs(value);
2039 2038
2040 if ( value < 8.0 && value > -8.0 ) 2039 if ( value < 8.0 && value > -8.0 )
2041 { 2040 {
2042 value2 = value*value; 2041 value2 = value*value;
2043 2042
2044 fact1 = 57568490574.0 + value2*(-1336259 2043 fact1 = 57568490574.0 + value2*(-13362590354.0
2045 + value2*( 6516196 2044 + value2*( 651619640.7
2046 + value2*(-1121442 2045 + value2*(-11214424.18
2047 + value2*( 77392.3 2046 + value2*( 77392.33017
2048 + value2*(-184.905 2047 + value2*(-184.9052456 ) ) ) ) );
2049 2048
2050 fact2 = 57568490411.0 + value2*( 1029532 2049 fact2 = 57568490411.0 + value2*( 1029532985.0
2051 + value2*( 9494680 2050 + value2*( 9494680.718
2052 + value2*(59272.64 2051 + value2*(59272.64853
2053 + value2*(267.8532 2052 + value2*(267.8532712
2054 + value2*1.0 2053 + value2*1.0 ) ) ) );
2055 2054
2056 bessel = fact1/fact2; 2055 bessel = fact1/fact2;
2057 } 2056 }
2058 else 2057 else
2059 { 2058 {
2060 arg = 8.0/modvalue; 2059 arg = 8.0/modvalue;
2061 2060
2062 value2 = arg*arg; 2061 value2 = arg*arg;
2063 2062
2064 shift = modvalue-0.785398164; 2063 shift = modvalue-0.785398164;
2065 2064
2066 fact1 = 1.0 + value2*(-0.1098628627e-2 2065 fact1 = 1.0 + value2*(-0.1098628627e-2
2067 + value2*(0.2734510407e-4 2066 + value2*(0.2734510407e-4
2068 + value2*(-0.2073370639e-5 2067 + value2*(-0.2073370639e-5
2069 + value2*0.2093887211e-6 2068 + value2*0.2093887211e-6 ) ) );
2070 2069
2071 fact2 = -0.1562499995e-1 + value2*(0.143 2070 fact2 = -0.1562499995e-1 + value2*(0.1430488765e-3
2072 + value2*(-0.69 2071 + value2*(-0.6911147651e-5
2073 + value2*(0.762 2072 + value2*(0.7621095161e-6
2074 - value2*0.9349 2073 - value2*0.934945152e-7 ) ) );
2075 2074
2076 bessel = std::sqrt(0.636619772/modvalue)* 2075 bessel = std::sqrt(0.636619772/modvalue)*(std::cos(shift)*fact1 - arg*std::sin(shift)*fact2 );
2077 } 2076 }
2078 return bessel; 2077 return bessel;
2079 } 2078 }
2080 2079
2081 ///////////////////////////////////////////// 2080 /////////////////////////////////////////////////////////////
2082 // 2081 //
2083 // Bessel J1 function based on rational appro 2082 // Bessel J1 function based on rational approximation from
2084 // J.F. Hart, Computer Approximations, New Yo 2083 // J.F. Hart, Computer Approximations, New York, Willey 1968, p. 141
2085 2084
2086 G4double G4NuclNuclDiffuseElastic::BesselJone 2085 G4double G4NuclNuclDiffuseElastic::BesselJone(G4double value)
2087 { 2086 {
2088 G4double modvalue, value2, fact1, fact2, ar 2087 G4double modvalue, value2, fact1, fact2, arg, shift, bessel;
2089 2088
2090 modvalue = std::fabs(value); 2089 modvalue = std::fabs(value);
2091 2090
2092 if ( modvalue < 8.0 ) 2091 if ( modvalue < 8.0 )
2093 { 2092 {
2094 value2 = value*value; 2093 value2 = value*value;
2095 2094
2096 fact1 = value*(72362614232.0 + value2*(- 2095 fact1 = value*(72362614232.0 + value2*(-7895059235.0
2097 + value2*( 2096 + value2*( 242396853.1
2098 + value2*(- 2097 + value2*(-2972611.439
2099 + value2*( 2098 + value2*( 15704.48260
2100 + value2*(- 2099 + value2*(-30.16036606 ) ) ) ) ) );
2101 2100
2102 fact2 = 144725228442.0 + value2*(2300535 2101 fact2 = 144725228442.0 + value2*(2300535178.0
2103 + value2*(1858330 2102 + value2*(18583304.74
2104 + value2*(99447.4 2103 + value2*(99447.43394
2105 + value2*(376.999 2104 + value2*(376.9991397
2106 + value2*1.0 2105 + value2*1.0 ) ) ) );
2107 bessel = fact1/fact2; 2106 bessel = fact1/fact2;
2108 } 2107 }
2109 else 2108 else
2110 { 2109 {
2111 arg = 8.0/modvalue; 2110 arg = 8.0/modvalue;
2112 2111
2113 value2 = arg*arg; 2112 value2 = arg*arg;
2114 2113
2115 shift = modvalue - 2.356194491; 2114 shift = modvalue - 2.356194491;
2116 2115
2117 fact1 = 1.0 + value2*( 0.183105e-2 2116 fact1 = 1.0 + value2*( 0.183105e-2
2118 + value2*(-0.3516396496e-4 2117 + value2*(-0.3516396496e-4
2119 + value2*(0.2457520174e-5 2118 + value2*(0.2457520174e-5
2120 + value2*(-0.240337019e-6 2119 + value2*(-0.240337019e-6 ) ) ) );
2121 2120
2122 fact2 = 0.04687499995 + value2*(-0.200269 2121 fact2 = 0.04687499995 + value2*(-0.2002690873e-3
2123 + value2*( 0.844919 2122 + value2*( 0.8449199096e-5
2124 + value2*(-0.882289 2123 + value2*(-0.88228987e-6
2125 + value2*0.10578741 2124 + value2*0.105787412e-6 ) ) );
2126 2125
2127 bessel = std::sqrt( 0.636619772/modvalue) 2126 bessel = std::sqrt( 0.636619772/modvalue)*(std::cos(shift)*fact1 - arg*std::sin(shift)*fact2);
2128 2127
2129 if (value < 0.0) bessel = -bessel; 2128 if (value < 0.0) bessel = -bessel;
2130 } 2129 }
2131 return bessel; 2130 return bessel;
2132 } 2131 }
2133 2132
2134 // 2133 //
2135 // 2134 //
2136 ///////////////////////////////////////////// 2135 /////////////////////////////////////////////////////////////////////////////////
2137 2136