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25 // 25 //
>> 26 // $Id: G4HadronElastic.cc,v 1.48 2007/05/05 18:45:23 vnivanch Exp $
>> 27 // GEANT4 tag $Name: geant4-08-03-patch-02 $
26 // 28 //
27 // Geant4 Header : G4HadronElastic <<
28 // 29 //
29 // Author : V.Ivanchenko 29 June 2009 (redesig << 30 // Physics model class G4HadronElastic (derived from G4LElastic)
30 // << 31 //
>> 32 //
>> 33 // G4 Model: Low-energy Elastic scattering with 4-momentum balance
>> 34 // F.W. Jones, TRIUMF, 04-JUN-96
>> 35 // Uses G4ElasticHadrNucleusHE and G4VQCrossSection
>> 36 //
>> 37 //
>> 38 // 25-JUN-98 FWJ: replaced missing Initialize for ParticleChange.
>> 39 // 09-Set-05 V.Ivanchenko HARP version of the model: fix scattering
>> 40 // on hydrogen, use relativistic Lorentz transformation
>> 41 // 24-Nov-05 V.Ivanchenko sample cost in center of mass reference system
>> 42 // 03-Dec-05 V.Ivanchenko add protection to initial momentum 20 MeV/c in
>> 43 // center of mass system (before it was in lab system)
>> 44 // below model is not valid
>> 45 // 14-Dec-05 V.Ivanchenko change protection to cos(theta) < -1 and
>> 46 // rename the class
>> 47 // 13-Apr-06 V.Ivanchenko move to coherent_elastic subdirectory; remove
>> 48 // charge exchange; remove limitation on incident momentum;
>> 49 // add s-wave regim below some momentum
>> 50 // 24-Apr-06 V.Ivanchenko add neutron scattering on hydrogen from CHIPS
>> 51 // 07-Jun-06 V.Ivanchenko fix problem of rotation
>> 52 // 25-Jul-06 V.Ivanchenko add 19 MeV low energy, below which S-wave is sampled
>> 53 // 02-Aug-06 V.Ivanchenko introduce energy cut on the aria of S-wave for pions
>> 54 // 24-Aug-06 V.Ivanchenko switch on G4ElasticHadrNucleusHE
>> 55 // 31-Aug-06 V.Ivanchenko do not sample sacttering for particles with kinetic
>> 56 // energy below 10 keV
>> 57 // 16-Nov-06 V.Ivanchenko Simplify logic of choosing of the model for sampling
>> 58 // 30-Mar-07 V.Ivanchenko lowEnergyLimitQ=0, lowEnergyLimitHE = 1.0*GeV,
>> 59 // lowestEnergyLimit= 0
>> 60 // 04-May-07 V.Ivanchenko do not use HE model for hydrogen target to avoid NaN;
>> 61 // use QElastic for p, n incident for any energy for
>> 62 // p and He targets only
>> 63 //
31 64
32 #include "G4HadronElastic.hh" 65 #include "G4HadronElastic.hh"
33 #include "G4SystemOfUnits.hh" <<
34 #include "G4ParticleTable.hh" 66 #include "G4ParticleTable.hh"
35 #include "G4ParticleDefinition.hh" 67 #include "G4ParticleDefinition.hh"
36 #include "G4IonTable.hh" 68 #include "G4IonTable.hh"
>> 69 #include "G4QElasticCrossSection.hh"
>> 70 #include "G4VQCrossSection.hh"
>> 71 #include "G4ElasticHadrNucleusHE.hh"
37 #include "Randomize.hh" 72 #include "Randomize.hh"
38 #include "G4Proton.hh" 73 #include "G4Proton.hh"
39 #include "G4Neutron.hh" 74 #include "G4Neutron.hh"
40 #include "G4Deuteron.hh" 75 #include "G4Deuteron.hh"
41 #include "G4Alpha.hh" 76 #include "G4Alpha.hh"
42 #include "G4Pow.hh" << 77 #include "G4PionPlus.hh"
43 #include "G4Exp.hh" << 78 #include "G4PionMinus.hh"
44 #include "G4Log.hh" << 79 #include "G4NistManager.hh"
45 #include "G4HadronicParameters.hh" <<
46 #include "G4PhysicsModelCatalog.hh" <<
47 <<
48 80
49 G4HadronElastic::G4HadronElastic(const G4Strin << 81 G4HadronElastic::G4HadronElastic()
50 : G4HadronicInteraction(name), secID(-1) << 82 : G4HadronicInteraction()
51 { 83 {
52 SetMinEnergy( 0.0*GeV ); 84 SetMinEnergy( 0.0*GeV );
53 SetMaxEnergy( G4HadronicParameters::Instance << 85 SetMaxEnergy( 100.*TeV );
54 lowestEnergyLimit= 1.e-6*eV; << 86 verboseLevel= 0;
55 pLocalTmax = 0.0; << 87 lowEnergyRecoilLimit = 100.*keV;
56 nwarn = 0; << 88 lowEnergyLimitQ = 0.0*GeV;
>> 89 lowEnergyLimitHE = 1.0*GeV;
>> 90 lowestEnergyLimit= 0.0*keV;
>> 91 plabLowLimit = 20.0*MeV;
>> 92
>> 93 qCManager = G4QElasticCrossSection::GetPointer();
>> 94 nistManager = G4NistManager::Instance();
>> 95 hElastic = new G4ElasticHadrNucleusHE();
57 96
58 theProton = G4Proton::Proton(); 97 theProton = G4Proton::Proton();
59 theNeutron = G4Neutron::Neutron(); 98 theNeutron = G4Neutron::Neutron();
60 theDeuteron = G4Deuteron::Deuteron(); 99 theDeuteron = G4Deuteron::Deuteron();
61 theAlpha = G4Alpha::Alpha(); 100 theAlpha = G4Alpha::Alpha();
62 << 101 thePionPlus = G4PionPlus::PionPlus();
63 secID = G4PhysicsModelCatalog::GetModelID( " << 102 thePionMinus= G4PionMinus::PionMinus();
64 } 103 }
65 104
66 G4HadronElastic::~G4HadronElastic() 105 G4HadronElastic::~G4HadronElastic()
67 {} << 106 {
>> 107 delete hElastic;
>> 108 }
68 109
>> 110 G4VQCrossSection* G4HadronElastic::GetCS()
>> 111 {
>> 112 return qCManager;
>> 113 }
69 114
70 void G4HadronElastic::ModelDescription(std::os << 115 G4ElasticHadrNucleusHE* G4HadronElastic::GetHElastic()
71 { 116 {
72 outFile << "G4HadronElastic is the base clas << 117 return hElastic;
73 << "elastic scattering models except <<
74 << "By default it uses the Gheisha t <<
75 << "transfer parameterization. The model <<
76 << "as opposed to the original Gheisha mod <<
77 << "This model may be used for all long-li <<
78 << "incident energies but fit the data onl <<
79 } 118 }
80 119
81 G4HadFinalState* G4HadronElastic::ApplyYoursel 120 G4HadFinalState* G4HadronElastic::ApplyYourself(
82 const G4HadProjectile& aTrack, G4Nucleus& 121 const G4HadProjectile& aTrack, G4Nucleus& targetNucleus)
83 { 122 {
84 theParticleChange.Clear(); 123 theParticleChange.Clear();
85 124
86 const G4HadProjectile* aParticle = &aTrack; 125 const G4HadProjectile* aParticle = &aTrack;
87 G4double ekin = aParticle->GetKineticEnergy( 126 G4double ekin = aParticle->GetKineticEnergy();
88 <<
89 // no scattering below the limit <<
90 if(ekin <= lowestEnergyLimit) { 127 if(ekin <= lowestEnergyLimit) {
91 theParticleChange.SetEnergyChange(ekin); 128 theParticleChange.SetEnergyChange(ekin);
92 theParticleChange.SetMomentumChange(0.,0., << 129 theParticleChange.SetMomentumChange(aTrack.Get4Momentum().vect().unit());
93 return &theParticleChange; 130 return &theParticleChange;
94 } 131 }
95 132
96 G4int A = targetNucleus.GetA_asInt(); << 133 G4double aTarget = targetNucleus.GetN();
97 G4int Z = targetNucleus.GetZ_asInt(); << 134 G4double zTarget = targetNucleus.GetZ();
>> 135
>> 136 G4double plab = aParticle->GetTotalMomentum();
>> 137 if (verboseLevel >1)
>> 138 G4cout << "G4HadronElastic::DoIt: Incident particle plab="
>> 139 << plab/GeV << " GeV/c "
>> 140 << " ekin(MeV) = " << ekin/MeV << " "
>> 141 << aParticle->GetDefinition()->GetParticleName() << G4endl;
98 142
99 // Scattered particle referred to axis of in 143 // Scattered particle referred to axis of incident particle
100 const G4ParticleDefinition* theParticle = aP 144 const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
101 G4double m1 = theParticle->GetPDGMass(); 145 G4double m1 = theParticle->GetPDGMass();
102 G4double plab = std::sqrt(ekin*(ekin + 2.0*m <<
103 146
104 if (verboseLevel>1) { << 147 G4int Z = static_cast<G4int>(zTarget+0.5);
105 G4cout << "G4HadronElastic: " << 148 G4int A = static_cast<G4int>(aTarget+0.5);
106 << aParticle->GetDefinition()->GetParticl << 149 G4int N = A - Z;
107 << " Plab(GeV/c)= " << plab/GeV << 150 G4int projPDG = theParticle->GetPDGEncoding();
108 << " Ekin(MeV) = " << ekin/MeV << 151 if (verboseLevel>1)
109 << " scattered off Z= " << Z << 152 G4cout << "G4HadronElastic for " << theParticle->GetParticleName()
110 << " A= " << A << 153 << " PDGcode= " << projPDG << " on nucleus Z= " << Z
>> 154 << " A= " << A << " N= " << N
111 << G4endl; 155 << G4endl;
112 } <<
113 156
114 G4double mass2 = G4NucleiProperties::GetNucl << 157 G4ParticleDefinition * theDef = 0;
115 G4double e1 = m1 + ekin; <<
116 G4LorentzVector lv(0.0,0.0,plab,e1+mass2); <<
117 G4ThreeVector bst = lv.boostVector(); <<
118 G4double momentumCMS = plab*mass2/std::sqrt( <<
119 158
120 pLocalTmax = 4.0*momentumCMS*momentumCMS; << 159 if(Z == 1 && A == 1) theDef = theProton;
>> 160 else if (Z == 1 && A == 2) theDef = theDeuteron;
>> 161 else if (Z == 1 && A == 3) theDef = G4Triton::Triton();
>> 162 else if (Z == 2 && A == 3) theDef = G4He3::He3();
>> 163 else if (Z == 2 && A == 4) theDef = theAlpha;
>> 164 else theDef = G4ParticleTable::GetParticleTable()->FindIon(Z,A,0,Z);
>> 165
>> 166 G4double m2 = theDef->GetPDGMass();
>> 167 G4LorentzVector lv1 = aParticle->Get4Momentum();
>> 168 G4LorentzVector lv(0.0,0.0,0.0,m2);
>> 169 lv += lv1;
121 170
122 // Sampling in CM system << 171 G4ThreeVector bst = lv.boostVector();
123 G4double t = SampleInvariantT(theParticle, p << 172 lv1.boost(-bst);
124 173
125 if(t < 0.0 || t > pLocalTmax) { << 174 G4ThreeVector p1 = lv1.vect();
126 // For the very rare cases where cos(theta << 175 G4double ptot = p1.mag();
127 // print some debugging information via a << 176 G4double tmax = 4.0*ptot*ptot;
128 // using the default algorithm << 177 G4double t = 0.0;
129 #ifdef G4VERBOSE << 178
130 if(nwarn < 2) { << 179 // Choose generator
131 G4ExceptionDescription ed; << 180 G4ElasticGenerator gtype = fLElastic;
132 ed << GetModelName() << " wrong sampling << 181
133 << " for " << aParticle->GetDefinition()->G << 182 // Q-elastic for p,n scattering on H and He
134 << " ekin=" << ekin << " MeV" << 183 if ((theParticle == theProton || theParticle == theNeutron)
135 << " off (Z,A)=(" << Z << "," << A << ") - << 184 && Z <= 2 && ekin >= lowEnergyLimitQ)
136 G4Exception( "G4HadronElastic::ApplyYour << 185 gtype = fQElastic;
137 ++nwarn; << 186
>> 187 else {
>> 188 // S-wave for very low energy
>> 189 if(plab < plabLowLimit) gtype = fSWave;
>> 190 // HE-elastic for energetic projectiles
>> 191 else if(ekin >= lowEnergyLimitHE && A < 238 && Z>= 2) gtype = fHElastic;
>> 192 }
>> 193
>> 194 //
>> 195 // Sample t
>> 196 //
>> 197 if(gtype == fQElastic) {
>> 198 if (verboseLevel >1)
>> 199 G4cout << "G4HadronElastic: Z= " << Z << " N= "
>> 200 << N << " pdg= " << projPDG
>> 201 << " mom(GeV)= " << plab/GeV << " " << qCManager << G4endl;
>> 202 if(Z == 1 && N == 2) N = 1;
>> 203 else if(Z == 2 && N == 1) N = 2;
>> 204 G4double cs = qCManager->GetCrossSection(false,plab,Z,N,projPDG);
>> 205
>> 206 // check if cross section is reasonable
>> 207 if(cs > 0.0) t = qCManager->GetExchangeT(Z,N,projPDG);
>> 208 else if(plab > plabLowLimit) gtype = fLElastic;
>> 209 else gtype = fSWave;
>> 210 }
>> 211
>> 212 if(gtype == fLElastic) {
>> 213 t = GeV*GeV*SampleT(ptot,m1,m2,aTarget);
>> 214 if(t > tmax) gtype = fSWave;
>> 215 }
>> 216
>> 217 // use mean atomic number
>> 218 if(gtype == fHElastic) {
>> 219 G4int A0 = static_cast<G4int>(nistManager->GetAtomicMassAmu(Z)+0.5);
>> 220 t = hElastic->SampleT(theParticle,plab,Z,A0);
>> 221 if(t > tmax) gtype = fSWave;
>> 222 }
>> 223
>> 224 // NaN finder
>> 225 if(!(t < 0.0 || t >= 0.0)) {
>> 226 if (verboseLevel > 0) {
>> 227 G4cout << "G4HadronElastic:WARNING: Z= " << Z << " N= "
>> 228 << N << " pdg= " << projPDG
>> 229 << " mom(GeV)= " << plab/GeV
>> 230 << " the model type " << gtype;
>> 231 if(gtype == fQElastic) G4cout << " CHIPS ";
>> 232 else if(gtype == fLElastic) G4cout << " LElastic ";
>> 233 else if(gtype == fHElastic) G4cout << " HElastic ";
>> 234 G4cout << " S-wave will be sampled"
>> 235 << G4endl;
138 } 236 }
139 #endif << 237 gtype = fSWave;
140 t = G4HadronElastic::SampleInvariantT(theP <<
141 } 238 }
142 239
143 G4double phi = G4UniformRand()*CLHEP::twopi << 240 if(gtype == fSWave) t = G4UniformRand()*tmax;
144 G4double cost = 1. - 2.0*t/pLocalTmax; <<
145 241
146 if (cost > 1.0) { cost = 1.0; } << 242 if(verboseLevel>1)
147 else if(cost < -1.0) { cost = -1.0; } << 243 G4cout <<"type= " << gtype <<" t= " << t << " tmax= " << tmax
>> 244 << " ptot= " << ptot << G4endl;
148 245
>> 246 // Sampling in CM system
>> 247 G4double phi = G4UniformRand()*twopi;
>> 248 G4double cost = 1. - 2.0*t/tmax;
>> 249 if(std::abs(cost) > 1.0) cost = -1.0 + 2.0*G4UniformRand();
149 G4double sint = std::sqrt((1.0-cost)*(1.0+co 250 G4double sint = std::sqrt((1.0-cost)*(1.0+cost));
>> 251
>> 252 if (verboseLevel>1)
>> 253 G4cout << "cos(t)=" << cost << " std::sin(t)=" << sint << G4endl;
150 254
151 if (verboseLevel>1) { << 255 G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
152 G4cout << " t= " << t << " tmax(GeV^2)= " << 256 v1 *= ptot;
153 << " Pcms(GeV)= " << momentumCMS/GeV << " << 257 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1));
154 << " sin(t)=" << sint << G4endl; <<
155 } <<
156 G4LorentzVector nlv1(momentumCMS*sint*std::c <<
157 momentumCMS*sint*std::sin(phi), <<
158 momentumCMS*cost, <<
159 std::sqrt(momentumCMS*momentumCMS + <<
160 258
161 nlv1.boost(bst); 259 nlv1.boost(bst);
162 260
163 G4double eFinal = nlv1.e() - m1; 261 G4double eFinal = nlv1.e() - m1;
164 if (verboseLevel > 1) { << 262 if (verboseLevel > 1)
165 G4cout <<"G4HadronElastic: m= " << m1 << " << 263 G4cout << "Scattered: "
166 << " 4-M Final: " << nlv1 << 264 << nlv1<<" m= " << m1 << " ekin(MeV)= " << eFinal
>> 265 << " Proj: 4-mom " << lv1
>> 266 <<G4endl;
>> 267 if(eFinal < 0.0) {
>> 268 G4cout << "G4HadronElastic WARNING ekin= " << eFinal
>> 269 << " after scattering of "
>> 270 << aParticle->GetDefinition()->GetParticleName()
>> 271 << " p(GeV/c)= " << plab
>> 272 << " on " << theDef->GetParticleName()
167 << G4endl; 273 << G4endl;
>> 274 eFinal = 0.0;
>> 275 nlv1.setE(m1);
168 } 276 }
169 277
170 if(eFinal <= 0.0) { << 278 theParticleChange.SetMomentumChange(nlv1.vect().unit());
171 theParticleChange.SetMomentumChange(0.0,0. << 279 theParticleChange.SetEnergyChange(eFinal);
172 theParticleChange.SetEnergyChange(0.0); << 280
173 } else { << 281 G4LorentzVector nlv0 = lv - nlv1;
174 theParticleChange.SetMomentumChange(nlv1.v << 282 G4double erec = nlv0.e() - m2;
175 theParticleChange.SetEnergyChange(eFinal); << 283 if (verboseLevel > 1)
176 } << 284 G4cout << "Recoil: "
177 lv -= nlv1; << 285 << nlv0<<" m= " << m2 << " ekin(MeV)= " << erec
178 G4double erec = std::max(lv.e() - mass2, 0. << 286 <<G4endl;
179 if (verboseLevel > 1) { << 287
180 G4cout << "Recoil: " <<" m= " << mass2 << << 288 if(erec > lowEnergyRecoilLimit) {
181 << " 4-mom: " << lv << 289 G4DynamicParticle * aSec = new G4DynamicParticle(theDef, nlv0);
182 << G4endl; << 290 theParticleChange.AddSecondary(aSec);
183 } <<
184 <<
185 // the recoil is created if kinetic energy a <<
186 if(erec > GetRecoilEnergyThreshold()) { <<
187 G4ParticleDefinition * theDef = nullptr; <<
188 if(Z == 1 && A == 1) { theDef = theP <<
189 else if (Z == 1 && A == 2) { theDef = theD <<
190 else if (Z == 1 && A == 3) { theDef = G4Tr <<
191 else if (Z == 2 && A == 3) { theDef = G4He <<
192 else if (Z == 2 && A == 4) { theDef = theA <<
193 else { <<
194 theDef = <<
195 G4ParticleTable::GetParticleTable()->GetIonT <<
196 } <<
197 G4DynamicParticle * aSec = new G4DynamicPa <<
198 theParticleChange.AddSecondary(aSec, secID <<
199 } else { 291 } else {
>> 292 if(erec < 0.0) erec = 0.0;
200 theParticleChange.SetLocalEnergyDeposit(er 293 theParticleChange.SetLocalEnergyDeposit(erec);
201 } 294 }
202 295
203 return &theParticleChange; 296 return &theParticleChange;
204 } 297 }
205 298
206 // sample momentum transfer in the CMS system <<
207 G4double 299 G4double
208 G4HadronElastic::SampleInvariantT(const G4Part << 300 G4HadronElastic::SampleT(G4double, G4double, G4double, G4double atno2)
209 G4double mom, G4int, G4int A) <<
210 { 301 {
211 const G4double plabLowLimit = 400.0*CLHEP::M << 302 // G4cout << "Entering elastic scattering 2"<<G4endl;
212 const G4double GeV2 = GeV*GeV; << 303 // Compute the direction of elastic scattering.
213 const G4double z07in13 = std::pow(0.7, 0.333 << 304 // It is planned to replace this code with a method based on
214 const G4double numLimit = 18.; << 305 // parameterized functions and a Monte Carlo method to invert the CDF.
215 << 306
216 G4int pdg = std::abs(part->GetPDGEncoding()) << 307 G4double ran = G4UniformRand();
217 G4double tmax = pLocalTmax/GeV2; << 308 G4double aa, bb, cc, dd, rr;
218 << 309 if (atno2 <= 62.) {
219 G4double aa, bb, cc, dd; << 310 aa = std::pow(atno2, 1.63);
220 G4Pow* g4pow = G4Pow::GetInstance(); << 311 bb = 14.5*std::pow(atno2, 0.66);
221 if (A <= 62) { << 312 cc = 1.4*std::pow(atno2, 0.33);
222 if (pdg == 211){ //Pions << 313 dd = 10.;
223 if(mom >= plabLowLimit){ //High ener << 314 } else {
224 bb = 14.5*g4pow->Z23(A);/*14.5*/ << 315 aa = std::pow(atno2, 1.33);
225 dd = 10.; << 316 bb = 60.*std::pow(atno2, 0.33);
226 cc = 0.075*g4pow->Z13(A)/dd;//1.4 << 317 cc = 0.4*std::pow(atno2, 0.40);
227 //aa = g4pow->powZ(A, 1.93)/bb;//1.63 << 318 dd = 10.;
228 aa = (A*A)/bb;//1.63 << 319 }
229 } else { //Low ene << 320 aa = aa/bb;
230 bb = 29.*z07in13*z07in13*g4pow->Z23(A); << 321 cc = cc/dd;
231 dd = 15.; << 322 rr = (aa + cc)*ran;
232 cc = 0.04*g4pow->Z13(A)/dd;//1.4 << 323 if (verboseLevel > 1) {
233 aa = g4pow->powZ(A, 1.63)/bb;//1.63 << 324 G4cout << "DoIt: aa,bb,cc,dd,rr" << G4endl;
234 } << 325 G4cout << aa << " " << bb << " " << cc << " " << dd << " " << rr << G4endl;
235 } else { //Other particles << 326 }
236 bb = 14.5*g4pow->Z23(A); << 327 G4double t1 = -std::log(ran)/bb;
237 dd = 20.; << 328 G4double t2 = -std::log(ran)/dd;
238 aa = (A*A)/bb;//1.63 << 329 if (verboseLevel > 1) {
239 cc = 1.4*g4pow->Z13(A)/dd; << 330 G4cout << "t1,Fctcos " << t1 << " " << Fctcos(t1, aa, bb, cc, dd, rr) << G4endl;
240 } << 331 G4cout << "t2,Fctcos " << t2 << " " << Fctcos(t2, aa, bb, cc, dd, rr) << G4endl;
241 //=========================== <<
242 } else { //(A>62) <<
243 if (pdg == 211) { <<
244 if(mom >= plabLowLimit){ //high <<
245 bb = 60.*z07in13*g4pow->Z13(A);//60 <<
246 dd = 30.; <<
247 aa = 0.5*(A*A)/bb;//1.33 <<
248 cc = 4.*g4pow->powZ(A,0.4)/dd;//1:0.4 -- <<
249 } else { //low <<
250 bb = 120.*z07in13*g4pow->Z13(A);//60 <<
251 dd = 30.; <<
252 aa = 2.*g4pow->powZ(A,1.33)/bb; <<
253 cc = 4.*g4pow->powZ(A,0.4)/dd;//1:0.4 -- <<
254 } <<
255 } else { <<
256 bb = 60.*g4pow->Z13(A); <<
257 dd = 25.; <<
258 aa = g4pow->powZ(A,1.33)/bb;//1.33 <<
259 cc = 0.2*g4pow->powZ(A,0.4)/dd;//1:0.4 <<
260 } <<
261 } 332 }
262 G4double q1 = 1.0 - G4Exp(-std::min(bb*tmax, << 333 G4double eps = 0.001;
263 G4double q2 = 1.0 - G4Exp(-std::min(dd*tmax, << 334 G4int ind1 = 10;
264 G4double s1 = q1*aa; << 335 G4double t = 0.0;
265 G4double s2 = q2*cc; << 336 G4int ier1;
266 if((s1 + s2)*G4UniformRand() < s2) { << 337 ier1 = Rtmi(&t, t1, t2, eps, ind1,
267 q1 = q2; << 338 aa, bb, cc, dd, rr);
268 bb = dd; << 339 if (verboseLevel > 1) {
>> 340 G4cout << "From Rtmi, ier1=" << ier1 << G4endl;
>> 341 G4cout << "t, Fctcos " << t << " " << Fctcos(t, aa, bb, cc, dd, rr) << G4endl;
269 } 342 }
270 return -GeV2*G4Log(1.0 - G4UniformRand()*q1) << 343 if (ier1 != 0) t = 0.25*(3.*t1 + t2);
>> 344 if (verboseLevel > 1) {
>> 345 G4cout << "t, Fctcos " << t << " " << Fctcos(t, aa, bb, cc, dd, rr) <<
>> 346 G4endl;
>> 347 }
>> 348 return t;
271 } 349 }
272 350
273 ////////////////////////////////////////////// << 351 // The following is a "translation" of a root-finding routine
274 // << 352 // from GEANT3.21/GHEISHA. Some of the labelled block structure has
275 // Cofs for s-,c-,b-particles ds/dt slopes << 353 // been retained for clarity. This routine will not be needed after
276 << 354 // the planned revisions to DoIt().
277 G4double G4HadronElastic::GetSlopeCof(const G4 << 355
>> 356 G4int
>> 357 G4HadronElastic::Rtmi(G4double* x, G4double xli, G4double xri, G4double eps,
>> 358 G4int iend,
>> 359 G4double aa, G4double bb, G4double cc, G4double dd,
>> 360 G4double rr)
278 { 361 {
279 // The input parameter "pdg" should be the a << 362 G4int ier = 0;
280 // (i.e. the same value for a particle and i << 363 G4double xl = xli;
>> 364 G4double xr = xri;
>> 365 *x = xl;
>> 366 G4double tol = *x;
>> 367 G4double f = Fctcos(tol, aa, bb, cc, dd, rr);
>> 368 if (f == 0.) return ier;
>> 369 G4double fl, fr;
>> 370 fl = f;
>> 371 *x = xr;
>> 372 tol = *x;
>> 373 f = Fctcos(tol, aa, bb, cc, dd, rr);
>> 374 if (f == 0.) return ier;
>> 375 fr = f;
>> 376
>> 377 // Error return in case of wrong input data
>> 378 if (fl*fr >= 0.) {
>> 379 ier = 2;
>> 380 return ier;
>> 381 }
>> 382
>> 383 // Basic assumption fl*fr less than 0 is satisfied.
>> 384 // Generate tolerance for function values.
>> 385 G4int i = 0;
>> 386 G4double tolf = 100.*eps;
>> 387
>> 388 // Start iteration loop
>> 389 label4:
>> 390 i++;
>> 391
>> 392 // Start bisection loop
>> 393 for (G4int k = 1; k <= iend; k++) {
>> 394 *x = 0.5*(xl + xr);
>> 395 tol = *x;
>> 396 f = Fctcos(tol, aa, bb, cc, dd, rr);
>> 397 if (f == 0.) return 0;
>> 398 if (f*fr < 0.) { // Interchange xl and xr in order to get the
>> 399 tol = xl; // same Sign in f and fr
>> 400 xl = xr;
>> 401 xr = tol;
>> 402 tol = fl;
>> 403 fl = fr;
>> 404 fr = tol;
>> 405 }
>> 406 tol = f - fl;
>> 407 G4double a = f*tol;
>> 408 a = a + a;
>> 409 if (a < fr*(fr - fl) && i <= iend) goto label17;
>> 410 xr = *x;
>> 411 fr = f;
>> 412
>> 413 // Test on satisfactory accuracy in bisection loop
>> 414 tol = eps;
>> 415 a = std::abs(xr);
>> 416 if (a > 1.) tol = tol*a;
>> 417 if (std::abs(xr - xl) <= tol && std::abs(fr - fl) <= tolf) goto label14;
>> 418 }
>> 419 // End of bisection loop
>> 420
>> 421 // No convergence after iend iteration steps followed by iend
>> 422 // successive steps of bisection or steadily increasing function
>> 423 // values at right bounds. Error return.
>> 424 ier = 1;
>> 425
>> 426 label14:
>> 427 if (std::abs(fr) > std::abs(fl)) {
>> 428 *x = xl;
>> 429 f = fl;
>> 430 }
>> 431 return ier;
>> 432
>> 433 // Computation of iterated x-value by inverse parabolic interp
>> 434 label17:
>> 435 G4double a = fr - f;
>> 436 G4double dx = (*x - xl)*fl*(1. + f*(a - tol)/(a*(fr - fl)))/tol;
>> 437 G4double xm = *x;
>> 438 G4double fm = f;
>> 439 *x = xl - dx;
>> 440 tol = *x;
>> 441 f = Fctcos(tol, aa, bb, cc, dd, rr);
>> 442 if (f == 0.) return ier;
>> 443
>> 444 // Test on satisfactory accuracy in iteration loop
>> 445 tol = eps;
>> 446 a = std::abs(*x);
>> 447 if (a > 1) tol = tol*a;
>> 448 if (std::abs(dx) <= tol && std::abs(f) <= tolf) return ier;
>> 449
>> 450 // Preparation of next bisection loop
>> 451 if (f*fl < 0.) {
>> 452 xr = *x;
>> 453 fr = f;
>> 454 }
>> 455 else {
>> 456 xl = *x;
>> 457 fl = f;
>> 458 xr = xm;
>> 459 fr = fm;
>> 460 }
>> 461 goto label4;
>> 462 }
281 463
282 G4double coeff = 1.0; <<
283 464
284 // heavy barions << 465 // Test function for root-finder
285 466
286 static const G4double lBarCof1S = 0.88; << 467 G4double
287 static const G4double lBarCof2S = 0.76; << 468 G4HadronElastic::Fctcos(G4double t,
288 static const G4double lBarCof3S = 0.64; << 469 G4double aa, G4double bb, G4double cc, G4double dd,
289 static const G4double lBarCof1C = 0.784378 << 470 G4double rr)
290 static const G4double lBarCofSC = 0.664378 << 471 {
291 static const G4double lBarCof2SC = 0.544378 << 472 const G4double expxl = -82.;
292 static const G4double lBarCof1B = 0.740659 << 473 const G4double expxu = 82.;
293 static const G4double lBarCofSB = 0.620659 << 474
294 static const G4double lBarCof2SB = 0.500659 << 475 G4double test1 = -bb*t;
295 << 476 if (test1 > expxu) test1 = expxu;
296 if( pdg == 3122 || pdg == 3222 || pdg == 31 << 477 if (test1 < expxl) test1 = expxl;
297 { << 478
298 coeff = lBarCof1S; // Lambda, Sigma+, Sigm << 479 G4double test2 = -dd*t;
299 << 480 if (test2 > expxu) test2 = expxu;
300 } else if( pdg == 3322 || pdg == 3312 ) << 481 if (test2 < expxl) test2 = expxl;
301 { << 482
302 coeff = lBarCof2S; // Xi-, Xi0 << 483 return aa*std::exp(test1) + cc*std::exp(test2) - rr;
303 } <<
304 else if( pdg == 3324) <<
305 { <<
306 coeff = lBarCof3S; // Omega <<
307 } <<
308 else if( pdg == 4122 || pdg == 4212 || pd <<
309 { <<
310 coeff = lBarCof1C; // LambdaC+, SigmaC+, S <<
311 } <<
312 else if( pdg == 4332 ) <<
313 { <<
314 coeff = lBarCof2SC; // OmegaC <<
315 } <<
316 else if( pdg == 4232 || pdg == 4132 ) <<
317 { <<
318 coeff = lBarCofSC; // XiC+, XiC0 <<
319 } <<
320 else if( pdg == 5122 || pdg == 5222 || pdg = <<
321 { <<
322 coeff = lBarCof1B; // LambdaB, SigmaB+, Si <<
323 } <<
324 else if( pdg == 5332 ) <<
325 { <<
326 coeff = lBarCof2SB; // OmegaB- <<
327 } <<
328 else if( pdg == 5132 || pdg == 5232 ) // XiB <<
329 { <<
330 coeff = lBarCofSB; <<
331 } <<
332 // heavy mesons Kaons? <<
333 static const G4double lMesCof1S = 0.82; // K <<
334 static const G4double llMesCof1C = 0.676568; <<
335 static const G4double llMesCof1B = 0.610989; <<
336 static const G4double llMesCof2C = 0.353135; <<
337 static const G4double llMesCof2B = 0.221978; <<
338 static const G4double llMesCofSC = 0.496568; <<
339 static const G4double llMesCofSB = 0.430989; <<
340 static const G4double llMesCofCB = 0.287557; <<
341 static const G4double llMesCofEtaP = 0.88; <<
342 static const G4double llMesCofEta = 0.76; <<
343 <<
344 if( pdg == 321 || pdg == 311 || pdg == 310 ) <<
345 { <<
346 coeff = lMesCof1S; //K+-0 <<
347 } <<
348 else if( pdg == 511 || pdg == 521 ) <<
349 { <<
350 coeff = llMesCof1B; // BMeson0, BMeson+ <<
351 } <<
352 else if(pdg == 421 || pdg == 411 ) <<
353 { <<
354 coeff = llMesCof1C; // DMeson+, DMeson0 <<
355 } <<
356 else if( pdg == 531 ) <<
357 { <<
358 coeff = llMesCofSB; // BSMeson0 <<
359 } <<
360 else if( pdg == 541 ) <<
361 { <<
362 coeff = llMesCofCB; // BCMeson+- <<
363 } <<
364 else if(pdg == 431 ) <<
365 { <<
366 coeff = llMesCofSC; // DSMeson+- <<
367 } <<
368 else if(pdg == 441 || pdg == 443 ) <<
369 { <<
370 coeff = llMesCof2C; // Etac, JPsi <<
371 } <<
372 else if(pdg == 553 ) <<
373 { <<
374 coeff = llMesCof2B; // Upsilon <<
375 } <<
376 else if(pdg == 221 ) <<
377 { <<
378 coeff = llMesCofEta; // Eta <<
379 } <<
380 else if(pdg == 331 ) <<
381 { <<
382 coeff = llMesCofEtaP; // Eta' <<
383 } <<
384 return coeff; <<
385 } 484 }
386 485
387 486
>> 487 void
>> 488 G4HadronElastic::Defs1(G4double p, G4double px, G4double py, G4double pz,
>> 489 G4double pxinc, G4double pyinc, G4double pzinc,
>> 490 G4double* pxnew, G4double* pynew, G4double* pznew)
>> 491 {
>> 492 // Transform scattered particle to reflect direction of incident particle
>> 493 G4double pt2 = pxinc*pxinc + pyinc*pyinc;
>> 494 if (pt2 > 0.) {
>> 495 G4double cost = pzinc/p;
>> 496 G4double sint1 = std::sqrt(std::abs((1. - cost )*(1.+cost)));
>> 497 G4double sint2 = std::sqrt(pt2)/p;
>> 498 G4double sint = 0.5*(sint1 + sint2);
>> 499 G4double ph = pi*0.5;
>> 500 if (pyinc < 0.) ph = pi*1.5;
>> 501 if (std::abs(pxinc) > 1.e-6) ph = std::atan2(pyinc, pxinc);
>> 502 G4double cosp = std::cos(ph);
>> 503 G4double sinp = std::sin(ph);
>> 504 if (verboseLevel > 1) {
>> 505 G4cout << "cost sint " << cost << " " << sint << G4endl;
>> 506 G4cout << "cosp sinp " << cosp << " " << sinp << G4endl;
>> 507 }
>> 508 *pxnew = cost*cosp*px - sinp*py + sint*cosp*pz;
>> 509 *pynew = cost*sinp*px + cosp*py + sint*sinp*pz;
>> 510 *pznew = -sint*px +cost*pz;
>> 511 }
>> 512 else {
>> 513 G4double cost=pzinc/p;
>> 514 *pxnew = cost*px;
>> 515 *pynew = py;
>> 516 *pznew = cost*pz;
>> 517 }
>> 518 }
388 519