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25 // 25 //
>> 26 // $Id: G4HadronElastic.cc,v 1.68 2010-11-19 18:50:03 vnivanch Exp $
>> 27 // GEANT4 tag $Name: not supported by cvs2svn $
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 // 11-May-07 V.Ivanchenko remove unused method Defs1
>> 64 // 13.01.10: M.Kosov: Use G4Q(Pr/Neut)ElasticCS instead of G4QElasticCS
>> 65 //
31 66
32 #include "G4HadronElastic.hh" 67 #include "G4HadronElastic.hh"
33 #include "G4SystemOfUnits.hh" <<
34 #include "G4ParticleTable.hh" 68 #include "G4ParticleTable.hh"
35 #include "G4ParticleDefinition.hh" 69 #include "G4ParticleDefinition.hh"
36 #include "G4IonTable.hh" 70 #include "G4IonTable.hh"
>> 71 #include "G4QProtonElasticCrossSection.hh"
>> 72 #include "G4QNeutronElasticCrossSection.hh"
>> 73 #include "G4VQCrossSection.hh"
>> 74 #include "G4ElasticHadrNucleusHE.hh"
37 #include "Randomize.hh" 75 #include "Randomize.hh"
38 #include "G4Proton.hh" 76 #include "G4Proton.hh"
39 #include "G4Neutron.hh" 77 #include "G4Neutron.hh"
40 #include "G4Deuteron.hh" 78 #include "G4Deuteron.hh"
41 #include "G4Alpha.hh" 79 #include "G4Alpha.hh"
42 #include "G4Pow.hh" << 80 #include "G4PionPlus.hh"
43 #include "G4Exp.hh" << 81 #include "G4PionMinus.hh"
44 #include "G4Log.hh" <<
45 #include "G4HadronicParameters.hh" <<
46 #include "G4PhysicsModelCatalog.hh" <<
47 82
>> 83 G4VQCrossSection* G4HadronElastic::pCManager = 0;
>> 84 G4VQCrossSection* G4HadronElastic::nCManager = 0;
48 85
49 G4HadronElastic::G4HadronElastic(const G4Strin << 86 G4HadronElastic::G4HadronElastic(G4ElasticHadrNucleusHE* HModel)
50 : G4HadronicInteraction(name), secID(-1) << 87 : G4HadronicInteraction("G4HadronElastic"), hElastic(HModel)
51 { 88 {
52 SetMinEnergy( 0.0*GeV ); 89 SetMinEnergy( 0.0*GeV );
53 SetMaxEnergy( G4HadronicParameters::Instance << 90 SetMaxEnergy( 100.*TeV );
54 lowestEnergyLimit= 1.e-6*eV; << 91 verboseLevel= 0;
55 pLocalTmax = 0.0; << 92 lowEnergyRecoilLimit = 100.*keV;
56 nwarn = 0; << 93 lowEnergyLimitQ = 0.0*GeV;
>> 94 lowEnergyLimitHE = 1.0*GeV;
>> 95 lowestEnergyLimit= 1.e-6*eV;
>> 96 plabLowLimit = 20.0*MeV;
>> 97
>> 98 if(!pCManager)
>> 99 {
>> 100 pCManager = G4QProtonElasticCrossSection::GetPointer();
>> 101 nCManager = G4QNeutronElasticCrossSection::GetPointer();
>> 102 }
>> 103 if(!hElastic) hElastic = new G4ElasticHadrNucleusHE();
57 104
58 theProton = G4Proton::Proton(); 105 theProton = G4Proton::Proton();
59 theNeutron = G4Neutron::Neutron(); 106 theNeutron = G4Neutron::Neutron();
60 theDeuteron = G4Deuteron::Deuteron(); 107 theDeuteron = G4Deuteron::Deuteron();
61 theAlpha = G4Alpha::Alpha(); 108 theAlpha = G4Alpha::Alpha();
>> 109 thePionPlus = G4PionPlus::PionPlus();
>> 110 thePionMinus= G4PionMinus::PionMinus();
62 111
63 secID = G4PhysicsModelCatalog::GetModelID( " <<
64 } 112 }
65 113
66 G4HadronElastic::~G4HadronElastic() 114 G4HadronElastic::~G4HadronElastic()
67 {} << 115 {
>> 116 delete hElastic;
>> 117 }
68 118
>> 119 G4VQCrossSection* G4HadronElastic::GetCS()
>> 120 {
>> 121 return pCManager;
>> 122 //if (PDG==2212) return pCManager;
>> 123 //else if(PDG==2112) return nCManager;
>> 124 //return 0;
>> 125 }
69 126
70 void G4HadronElastic::ModelDescription(std::os << 127 G4ElasticHadrNucleusHE* G4HadronElastic::GetHElastic()
71 { 128 {
72 outFile << "G4HadronElastic is the base clas << 129 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 } 130 }
80 131
81 G4HadFinalState* G4HadronElastic::ApplyYoursel 132 G4HadFinalState* G4HadronElastic::ApplyYourself(
82 const G4HadProjectile& aTrack, G4Nucleus& 133 const G4HadProjectile& aTrack, G4Nucleus& targetNucleus)
83 { 134 {
84 theParticleChange.Clear(); 135 theParticleChange.Clear();
85 136
86 const G4HadProjectile* aParticle = &aTrack; 137 const G4HadProjectile* aParticle = &aTrack;
87 G4double ekin = aParticle->GetKineticEnergy( 138 G4double ekin = aParticle->GetKineticEnergy();
88 <<
89 // no scattering below the limit <<
90 if(ekin <= lowestEnergyLimit) { 139 if(ekin <= lowestEnergyLimit) {
91 theParticleChange.SetEnergyChange(ekin); 140 theParticleChange.SetEnergyChange(ekin);
92 theParticleChange.SetMomentumChange(0.,0., << 141 theParticleChange.SetMomentumChange(aTrack.Get4Momentum().vect().unit());
93 return &theParticleChange; 142 return &theParticleChange;
94 } 143 }
95 144
96 G4int A = targetNucleus.GetA_asInt(); 145 G4int A = targetNucleus.GetA_asInt();
97 G4int Z = targetNucleus.GetZ_asInt(); 146 G4int Z = targetNucleus.GetZ_asInt();
98 147
>> 148 G4double plab = aParticle->GetTotalMomentum();
>> 149 if (verboseLevel >1) {
>> 150 G4cout << "G4HadronElastic::DoIt: Incident particle plab="
>> 151 << plab/GeV << " GeV/c "
>> 152 << " ekin(MeV) = " << ekin/MeV << " "
>> 153 << aParticle->GetDefinition()->GetParticleName() << G4endl;
>> 154 }
99 // Scattered particle referred to axis of in 155 // Scattered particle referred to axis of incident particle
100 const G4ParticleDefinition* theParticle = aP 156 const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
101 G4double m1 = theParticle->GetPDGMass(); 157 G4double m1 = theParticle->GetPDGMass();
102 G4double plab = std::sqrt(ekin*(ekin + 2.0*m <<
103 158
>> 159 G4int N = A - Z;
>> 160 G4int projPDG = theParticle->GetPDGEncoding();
104 if (verboseLevel>1) { 161 if (verboseLevel>1) {
105 G4cout << "G4HadronElastic: " << 162 G4cout << "G4HadronElastic for " << theParticle->GetParticleName()
106 << aParticle->GetDefinition()->GetParticl << 163 << " PDGcode= " << projPDG << " on nucleus Z= " << Z
107 << " Plab(GeV/c)= " << plab/GeV << 164 << " A= " << A << " N= " << N
108 << " Ekin(MeV) = " << ekin/MeV <<
109 << " scattered off Z= " << Z <<
110 << " A= " << A <<
111 << G4endl; 165 << G4endl;
112 } 166 }
>> 167 G4ParticleDefinition * theDef = 0;
>> 168
>> 169 if(Z == 1 && A == 1) theDef = theProton;
>> 170 else if (Z == 1 && A == 2) theDef = theDeuteron;
>> 171 else if (Z == 1 && A == 3) theDef = G4Triton::Triton();
>> 172 else if (Z == 2 && A == 3) theDef = G4He3::He3();
>> 173 else if (Z == 2 && A == 4) theDef = theAlpha;
>> 174 else theDef = G4ParticleTable::GetParticleTable()->GetIon(Z,A,0.0);
>> 175
>> 176 G4double m2 = theDef->GetPDGMass();
>> 177 G4LorentzVector lv1 = aParticle->Get4Momentum();
>> 178 G4LorentzVector lv(0.0,0.0,0.0,m2);
>> 179 lv += lv1;
113 180
114 G4double mass2 = G4NucleiProperties::GetNucl <<
115 G4double e1 = m1 + ekin; <<
116 G4LorentzVector lv(0.0,0.0,plab,e1+mass2); <<
117 G4ThreeVector bst = lv.boostVector(); 181 G4ThreeVector bst = lv.boostVector();
118 G4double momentumCMS = plab*mass2/std::sqrt( << 182 lv1.boost(-bst);
119 183
120 pLocalTmax = 4.0*momentumCMS*momentumCMS; << 184 G4ThreeVector p1 = lv1.vect();
>> 185 G4double ptot = p1.mag();
>> 186 G4double tmax = 4.0*ptot*ptot;
>> 187 G4double t = 0.0;
>> 188
>> 189 // Choose generator
>> 190 G4ElasticGenerator gtype = fLElastic;
>> 191
>> 192 // Q-elastic for p,n scattering on H and He
>> 193 if (theParticle == theProton || theParticle == theNeutron) {
>> 194 // && Z <= 2 && ekin >= lowEnergyLimitQ)
>> 195 gtype = fQElastic;
121 196
122 // Sampling in CM system << 197 } else {
123 G4double t = SampleInvariantT(theParticle, p << 198 // S-wave for very low energy
>> 199 if(plab < plabLowLimit) gtype = fSWave;
>> 200 // HE-elastic for energetic projectile mesons
>> 201 else if(ekin >= lowEnergyLimitHE && theParticle->GetBaryonNumber() == 0)
>> 202 { gtype = fHElastic; }
>> 203 }
124 204
125 if(t < 0.0 || t > pLocalTmax) { << 205 //
126 // For the very rare cases where cos(theta << 206 // Sample t
127 // print some debugging information via a << 207 //
128 // using the default algorithm << 208 if(gtype == fQElastic) {
129 #ifdef G4VERBOSE << 209 if (verboseLevel >1) {
130 if(nwarn < 2) { << 210 G4cout << "G4HadronElastic: Z= " << Z << " N= " << N << " pdg= " << projPDG
131 G4ExceptionDescription ed; << 211 << " mom(GeV)= " << plab/GeV<<", pC="<<pCManager<<", nC="<<nCManager<<G4endl;
132 ed << GetModelName() << " wrong sampling << 212 }
133 << " for " << aParticle->GetDefinition()->G << 213 if(Z == 1 && N == 2) N = 1;
134 << " ekin=" << ekin << " MeV" << 214 else if(Z == 2 && N == 1) N = 2;
135 << " off (Z,A)=(" << Z << "," << A << ") - << 215 G4double cs = 0.;
136 G4Exception( "G4HadronElastic::ApplyYour << 216 if (projPDG==2212) cs = pCManager->GetCrossSection(false,plab,Z,N,projPDG);
137 ++nwarn; << 217 else if(projPDG==2112) cs = nCManager->GetCrossSection(false,plab,Z,N,projPDG);
>> 218
>> 219 // check if cross section is reasonable
>> 220 if(cs > 0.0)
>> 221 {
>> 222 if (projPDG==2212) t = pCManager->GetExchangeT(Z,N,projPDG);
>> 223 else if(projPDG==2112) t = nCManager->GetExchangeT(Z,N,projPDG);
138 } 224 }
139 #endif << 225 else if(plab > plabLowLimit) gtype = fLElastic;
140 t = G4HadronElastic::SampleInvariantT(theP << 226 else gtype = fSWave;
141 } 227 }
142 228
143 G4double phi = G4UniformRand()*CLHEP::twopi << 229 if(gtype == fLElastic) {
144 G4double cost = 1. - 2.0*t/pLocalTmax; << 230 G4double g2 = GeV*GeV;
>> 231 t = g2*SampleT(tmax/g2,m1,m2, A);
>> 232 }
>> 233
>> 234 // use mean atomic number
>> 235 if(gtype == fHElastic) {
>> 236 t = hElastic->SampleT(theParticle,plab, Z, A);
>> 237 }
145 238
146 if (cost > 1.0) { cost = 1.0; } << 239 if(gtype == fSWave) t = G4UniformRand()*tmax;
147 else if(cost < -1.0) { cost = -1.0; } <<
148 240
149 G4double sint = std::sqrt((1.0-cost)*(1.0+co << 241 if(verboseLevel>1) {
>> 242 G4cout <<"type= " << gtype <<" t= " << t << " tmax= " << tmax
>> 243 << " ptot= " << ptot << G4endl;
>> 244 }
>> 245 // Sampling in CM system
>> 246 G4double phi = G4UniformRand()*twopi;
>> 247 G4double cost = 1. - 2.0*t/tmax;
>> 248 G4double sint;
>> 249
>> 250 // problem in sampling
>> 251 if(cost > 1.0 || cost < -1.0) {
>> 252 if(verboseLevel > 0) {
>> 253 G4cout << "G4HadronElastic:WARNING: Z= " << Z << " N= "
>> 254 << N << " " << aParticle->GetDefinition()->GetParticleName()
>> 255 << " mom(GeV)= " << plab/GeV
>> 256 << " the model type " << gtype;
>> 257 if(gtype == fQElastic) G4cout << " CHIPS ";
>> 258 else if(gtype == fLElastic) G4cout << " LElastic ";
>> 259 else if(gtype == fHElastic) G4cout << " HElastic ";
>> 260 G4cout << " cost= " << cost
>> 261 << G4endl;
>> 262 }
>> 263 cost = 1.0;
>> 264 sint = 0.0;
150 265
>> 266 // normal situation
>> 267 } else {
>> 268 sint = std::sqrt((1.0-cost)*(1.0+cost));
>> 269 }
151 if (verboseLevel>1) { 270 if (verboseLevel>1) {
152 G4cout << " t= " << t << " tmax(GeV^2)= " << 271 G4cout << "cos(t)=" << cost << " std::sin(t)=" << sint << G4endl;
153 << " Pcms(GeV)= " << momentumCMS/GeV << " << 272 }
154 << " sin(t)=" << sint << G4endl; << 273 G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
155 } << 274 v1 *= ptot;
156 G4LorentzVector nlv1(momentumCMS*sint*std::c << 275 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1));
157 momentumCMS*sint*std::sin(phi), <<
158 momentumCMS*cost, <<
159 std::sqrt(momentumCMS*momentumCMS + <<
160 276
161 nlv1.boost(bst); 277 nlv1.boost(bst);
162 278
163 G4double eFinal = nlv1.e() - m1; 279 G4double eFinal = nlv1.e() - m1;
164 if (verboseLevel > 1) { 280 if (verboseLevel > 1) {
165 G4cout <<"G4HadronElastic: m= " << m1 << " << 281 G4cout << "Scattered: "
166 << " 4-M Final: " << nlv1 << 282 << nlv1<<" m= " << m1 << " ekin(MeV)= " << eFinal
167 << G4endl; << 283 << " Proj: 4-mom " << lv1
168 } << 284 <<G4endl;
169 << 285 }
170 if(eFinal <= 0.0) { << 286 if(eFinal <= lowestEnergyLimit) {
171 theParticleChange.SetMomentumChange(0.0,0. << 287 if(eFinal < 0.0 && verboseLevel > 0) {
>> 288 G4cout << "G4HadronElastic WARNING ekin= " << eFinal
>> 289 << " after scattering of "
>> 290 << aParticle->GetDefinition()->GetParticleName()
>> 291 << " p(GeV/c)= " << plab
>> 292 << " on " << theDef->GetParticleName()
>> 293 << G4endl;
>> 294 }
172 theParticleChange.SetEnergyChange(0.0); 295 theParticleChange.SetEnergyChange(0.0);
>> 296 nlv1 = G4LorentzVector(0.0,0.0,0.0,m1);
>> 297
173 } else { 298 } else {
174 theParticleChange.SetMomentumChange(nlv1.v 299 theParticleChange.SetMomentumChange(nlv1.vect().unit());
175 theParticleChange.SetEnergyChange(eFinal); 300 theParticleChange.SetEnergyChange(eFinal);
176 } << 301 }
177 lv -= nlv1; << 302
178 G4double erec = std::max(lv.e() - mass2, 0. << 303 G4LorentzVector nlv0 = lv - nlv1;
>> 304 G4double erec = nlv0.e() - m2;
179 if (verboseLevel > 1) { 305 if (verboseLevel > 1) {
180 G4cout << "Recoil: " <<" m= " << mass2 << << 306 G4cout << "Recoil: "
181 << " 4-mom: " << lv << 307 << nlv0<<" m= " << m2 << " ekin(MeV)= " << erec
182 << G4endl; << 308 <<G4endl;
183 } << 309 }
184 << 310 if(erec > lowEnergyRecoilLimit) {
185 // the recoil is created if kinetic energy a << 311 G4DynamicParticle * aSec = new G4DynamicParticle(theDef, nlv0);
186 if(erec > GetRecoilEnergyThreshold()) { << 312 theParticleChange.AddSecondary(aSec);
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 { 313 } else {
>> 314 if(erec < 0.0) erec = 0.0;
200 theParticleChange.SetLocalEnergyDeposit(er 315 theParticleChange.SetLocalEnergyDeposit(erec);
201 } 316 }
202 317
203 return &theParticleChange; 318 return &theParticleChange;
204 } 319 }
205 320
206 // sample momentum transfer in the CMS system <<
207 G4double 321 G4double
208 G4HadronElastic::SampleInvariantT(const G4Part << 322 G4HadronElastic::SampleT(G4double tmax, G4double, G4double, G4double atno2)
209 G4double mom, G4int, G4int A) <<
210 { 323 {
211 const G4double plabLowLimit = 400.0*CLHEP::M << 324 // G4cout << "Entering elastic scattering 2"<<G4endl;
212 const G4double GeV2 = GeV*GeV; << 325 // Compute the direction of elastic scattering.
213 const G4double z07in13 = std::pow(0.7, 0.333 << 326 // It is planned to replace this code with a method based on
214 const G4double numLimit = 18.; << 327 // parameterized functions and a Monte Carlo method to invert the CDF.
215 << 328
216 G4int pdg = std::abs(part->GetPDGEncoding()) << 329 // G4double ran = G4UniformRand();
217 G4double tmax = pLocalTmax/GeV2; << 330 G4double aa, bb, cc, dd, rr;
218 << 331 if (atno2 <= 62.) {
219 G4double aa, bb, cc, dd; << 332 aa = std::pow(atno2, 1.63);
220 G4Pow* g4pow = G4Pow::GetInstance(); << 333 bb = 14.5*std::pow(atno2, 0.66);
221 if (A <= 62) { << 334 cc = 1.4*std::pow(atno2, 0.33);
222 if (pdg == 211){ //Pions << 335 dd = 10.;
223 if(mom >= plabLowLimit){ //High ener << 336 } else {
224 bb = 14.5*g4pow->Z23(A);/*14.5*/ << 337 aa = std::pow(atno2, 1.33);
225 dd = 10.; << 338 bb = 60.*std::pow(atno2, 0.33);
226 cc = 0.075*g4pow->Z13(A)/dd;//1.4 << 339 cc = 0.4*std::pow(atno2, 0.40);
227 //aa = g4pow->powZ(A, 1.93)/bb;//1.63 << 340 dd = 10.;
228 aa = (A*A)/bb;//1.63 << 341 }
229 } else { //Low ene << 342 aa = aa/bb;
230 bb = 29.*z07in13*z07in13*g4pow->Z23(A); << 343 cc = cc/dd;
231 dd = 15.; << 344 G4double ran, t1, t2;
232 cc = 0.04*g4pow->Z13(A)/dd;//1.4 << 345 do {
233 aa = g4pow->powZ(A, 1.63)/bb;//1.63 << 346 ran = G4UniformRand();
234 } << 347 t1 = -std::log(ran)/bb;
235 } else { //Other particles << 348 t2 = -std::log(ran)/dd;
236 bb = 14.5*g4pow->Z23(A); << 349 } while(t1 > tmax || t2 > tmax);
237 dd = 20.; << 350
238 aa = (A*A)/bb;//1.63 << 351 rr = (aa + cc)*ran;
239 cc = 1.4*g4pow->Z13(A)/dd; << 352
240 } << 353 if (verboseLevel > 1) {
241 //=========================== << 354 G4cout << "DoIt: aa,bb,cc,dd,rr" << G4endl;
242 } else { //(A>62) << 355 G4cout << aa << " " << bb << " " << cc << " " << dd << " " << rr << G4endl;
243 if (pdg == 211) { << 356 G4cout << "t1,Fctcos " << t1 << " " << Fctcos(t1, aa, bb, cc, dd, rr) << G4endl;
244 if(mom >= plabLowLimit){ //high << 357 G4cout << "t2,Fctcos " << t2 << " " << Fctcos(t2, aa, bb, cc, dd, rr) << G4endl;
245 bb = 60.*z07in13*g4pow->Z13(A);//60 << 358 }
246 dd = 30.; << 359 G4double eps = 0.001;
247 aa = 0.5*(A*A)/bb;//1.33 << 360 G4int ind1 = 10;
248 cc = 4.*g4pow->powZ(A,0.4)/dd;//1:0.4 -- << 361 G4double t = 0.0;
249 } else { //low << 362 G4int ier1;
250 bb = 120.*z07in13*g4pow->Z13(A);//60 << 363 ier1 = Rtmi(&t, t1, t2, eps, ind1,
251 dd = 30.; << 364 aa, bb, cc, dd, rr);
252 aa = 2.*g4pow->powZ(A,1.33)/bb; << 365 if (verboseLevel > 1) {
253 cc = 4.*g4pow->powZ(A,0.4)/dd;//1:0.4 -- << 366 G4cout << "From Rtmi, ier1=" << ier1 << " t= " << t << G4endl;
254 } << 367 G4cout << "t, Fctcos " << t << " " << Fctcos(t, aa, bb, cc, dd, rr) << G4endl;
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 } 368 }
262 G4double q1 = 1.0 - G4Exp(-std::min(bb*tmax, << 369 if (ier1 != 0) t = 0.25*(3.*t1 + t2);
263 G4double q2 = 1.0 - G4Exp(-std::min(dd*tmax, << 370 if (verboseLevel > 1) {
264 G4double s1 = q1*aa; << 371 G4cout << "t, Fctcos " << t << " " << Fctcos(t, aa, bb, cc, dd, rr) <<
265 G4double s2 = q2*cc; << 372 G4endl;
266 if((s1 + s2)*G4UniformRand() < s2) { <<
267 q1 = q2; <<
268 bb = dd; <<
269 } 373 }
270 return -GeV2*G4Log(1.0 - G4UniformRand()*q1) << 374 return t;
271 } 375 }
272 376
273 ////////////////////////////////////////////// << 377 // The following is a "translation" of a root-finding routine
274 // << 378 // from GEANT3.21/GHEISHA. Some of the labelled block structure has
275 // Cofs for s-,c-,b-particles ds/dt slopes << 379 // been retained for clarity. This routine will not be needed after
276 << 380 // the planned revisions to DoIt().
277 G4double G4HadronElastic::GetSlopeCof(const G4 << 381
>> 382 G4int
>> 383 G4HadronElastic::Rtmi(G4double* x, G4double xli, G4double xri, G4double eps,
>> 384 G4int iend,
>> 385 G4double aa, G4double bb, G4double cc, G4double dd,
>> 386 G4double rr)
278 { 387 {
279 // The input parameter "pdg" should be the a << 388 G4int ier = 0;
280 // (i.e. the same value for a particle and i << 389 G4double xl = xli;
281 << 390 G4double xr = xri;
282 G4double coeff = 1.0; << 391 *x = xl;
>> 392 G4double tol = *x;
>> 393 G4double f = Fctcos(tol, aa, bb, cc, dd, rr);
>> 394 if (f == 0.) return ier;
>> 395 G4double fl, fr;
>> 396 fl = f;
>> 397 *x = xr;
>> 398 tol = *x;
>> 399 f = Fctcos(tol, aa, bb, cc, dd, rr);
>> 400 if (f == 0.) return ier;
>> 401 fr = f;
>> 402
>> 403 // Error return in case of wrong input data
>> 404 if (fl*fr >= 0.) {
>> 405 ier = 2;
>> 406 return ier;
>> 407 }
>> 408
>> 409 // Basic assumption fl*fr less than 0 is satisfied.
>> 410 // Generate tolerance for function values.
>> 411 G4int i = 0;
>> 412 G4double tolf = 100.*eps;
>> 413
>> 414 // Start iteration loop
>> 415 label4:
>> 416 i++;
>> 417
>> 418 // Start bisection loop
>> 419 for (G4int k = 1; k <= iend; k++) {
>> 420 *x = 0.5*(xl + xr);
>> 421 tol = *x;
>> 422 f = Fctcos(tol, aa, bb, cc, dd, rr);
>> 423 if (f == 0.) return 0;
>> 424 if (f*fr < 0.) { // Interchange xl and xr in order to get the
>> 425 tol = xl; // same Sign in f and fr
>> 426 xl = xr;
>> 427 xr = tol;
>> 428 tol = fl;
>> 429 fl = fr;
>> 430 fr = tol;
>> 431 }
>> 432 tol = f - fl;
>> 433 G4double a = f*tol;
>> 434 a = a + a;
>> 435 if (a < fr*(fr - fl) && i <= iend) goto label17;
>> 436 xr = *x;
>> 437 fr = f;
>> 438
>> 439 // Test on satisfactory accuracy in bisection loop
>> 440 tol = eps;
>> 441 a = std::abs(xr);
>> 442 if (a > 1.) tol = tol*a;
>> 443 if (std::abs(xr - xl) <= tol && std::abs(fr - fl) <= tolf) goto label14;
>> 444 }
>> 445 // End of bisection loop
>> 446
>> 447 // No convergence after iend iteration steps followed by iend
>> 448 // successive steps of bisection or steadily increasing function
>> 449 // values at right bounds. Error return.
>> 450 ier = 1;
>> 451
>> 452 label14:
>> 453 if (std::abs(fr) > std::abs(fl)) {
>> 454 *x = xl;
>> 455 f = fl;
>> 456 }
>> 457 return ier;
>> 458
>> 459 // Computation of iterated x-value by inverse parabolic interp
>> 460 label17:
>> 461 G4double a = fr - f;
>> 462 G4double dx = (*x - xl)*fl*(1. + f*(a - tol)/(a*(fr - fl)))/tol;
>> 463 G4double xm = *x;
>> 464 G4double fm = f;
>> 465 *x = xl - dx;
>> 466 tol = *x;
>> 467 f = Fctcos(tol, aa, bb, cc, dd, rr);
>> 468 if (f == 0.) return ier;
>> 469
>> 470 // Test on satisfactory accuracy in iteration loop
>> 471 tol = eps;
>> 472 a = std::abs(*x);
>> 473 if (a > 1) tol = tol*a;
>> 474 if (std::abs(dx) <= tol && std::abs(f) <= tolf) return ier;
>> 475
>> 476 // Preparation of next bisection loop
>> 477 if (f*fl < 0.) {
>> 478 xr = *x;
>> 479 fr = f;
>> 480 }
>> 481 else {
>> 482 xl = *x;
>> 483 fl = f;
>> 484 xr = xm;
>> 485 fr = fm;
>> 486 }
>> 487 goto label4;
>> 488 }
283 489
284 // heavy barions << 490 // Test function for root-finder
>> 491 G4double
>> 492 G4HadronElastic::Fctcos(G4double t,
>> 493 G4double aa, G4double bb, G4double cc, G4double dd,
>> 494 G4double rr)
>> 495 {
>> 496 const G4double expxl = -82.;
>> 497 const G4double expxu = 82.;
285 498
286 static const G4double lBarCof1S = 0.88; << 499 G4double test1 = -bb*t;
287 static const G4double lBarCof2S = 0.76; << 500 if (test1 > expxu) test1 = expxu;
288 static const G4double lBarCof3S = 0.64; << 501 if (test1 < expxl) test1 = expxl;
289 static const G4double lBarCof1C = 0.784378 << 502
290 static const G4double lBarCofSC = 0.664378 << 503 G4double test2 = -dd*t;
291 static const G4double lBarCof2SC = 0.544378 << 504 if (test2 > expxu) test2 = expxu;
292 static const G4double lBarCof1B = 0.740659 << 505 if (test2 < expxl) test2 = expxl;
293 static const G4double lBarCofSB = 0.620659 <<
294 static const G4double lBarCof2SB = 0.500659 <<
295 <<
296 if( pdg == 3122 || pdg == 3222 || pdg == 31 <<
297 { <<
298 coeff = lBarCof1S; // Lambda, Sigma+, Sigm <<
299 506
300 } else if( pdg == 3322 || pdg == 3312 ) << 507 return aa*std::exp(test1) + cc*std::exp(test2) - rr;
301 { <<
302 coeff = lBarCof2S; // Xi-, Xi0 <<
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 } 508 }
386 509
387 510
388 511