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26 // INCL++ intra-nuclear cascade model 26 // INCL++ intra-nuclear cascade model
27 // Alain Boudard, CEA-Saclay, France 27 // Alain Boudard, CEA-Saclay, France
28 // Joseph Cugnon, University of Liege, Belgium 28 // Joseph Cugnon, University of Liege, Belgium
29 // Jean-Christophe David, CEA-Saclay, France 29 // Jean-Christophe David, CEA-Saclay, France
30 // Pekka Kaitaniemi, CEA-Saclay, France, and H 30 // Pekka Kaitaniemi, CEA-Saclay, France, and Helsinki Institute of Physics, Finland
31 // Sylvie Leray, CEA-Saclay, France 31 // Sylvie Leray, CEA-Saclay, France
32 // Davide Mancusi, CEA-Saclay, France 32 // Davide Mancusi, CEA-Saclay, France
33 // 33 //
34 #define INCLXX_IN_GEANT4_MODE 1 34 #define INCLXX_IN_GEANT4_MODE 1
35 35
36 #include "globals.hh" 36 #include "globals.hh"
37 37
38 #include "G4INCLCrossSectionsMultiPions.hh" 38 #include "G4INCLCrossSectionsMultiPions.hh"
39 #include "G4INCLKinematicsUtils.hh" 39 #include "G4INCLKinematicsUtils.hh"
40 #include "G4INCLParticleTable.hh" 40 #include "G4INCLParticleTable.hh"
41 #include "G4INCLLogger.hh" 41 #include "G4INCLLogger.hh"
42 // #include <cassert> 42 // #include <cassert>
43 43
44 namespace G4INCL { 44 namespace G4INCL {
45 45
46 template<G4int N> 46 template<G4int N>
47 struct BystrickyEvaluator { 47 struct BystrickyEvaluator {
48 static G4double eval(const G4double pLab 48 static G4double eval(const G4double pLab, const G4double oneOverThreshold, HornerCoefficients<N> const &coeffs) {
49 const G4double pMeV = pLab*1E3; 49 const G4double pMeV = pLab*1E3;
50 const G4double ekin=std::sqrt(Particle 50 const G4double ekin=std::sqrt(ParticleTable::effectiveNucleonMass2+pMeV*pMeV)-ParticleTable::effectiveNucleonMass;
51 const G4double xrat=ekin*oneOverThresh 51 const G4double xrat=ekin*oneOverThreshold;
52 const G4double x=std::log(xrat); 52 const G4double x=std::log(xrat);
53 return HornerEvaluator<N>::eval(x, coe 53 return HornerEvaluator<N>::eval(x, coeffs) * x * std::exp(-0.5*x);
54 } 54 }
55 }; 55 };
56 56
57 const G4int CrossSectionsMultiPions::nMaxPiN 57 const G4int CrossSectionsMultiPions::nMaxPiNN = 4;
58 const G4int CrossSectionsMultiPions::nMaxPiP 58 const G4int CrossSectionsMultiPions::nMaxPiPiN = 4;
59 59
60 const G4double CrossSectionsMultiPions::s11p 60 const G4double CrossSectionsMultiPions::s11pzOOT = 0.0035761542037692665889;
61 const G4double CrossSectionsMultiPions::s01p 61 const G4double CrossSectionsMultiPions::s01ppOOT = 0.003421025623481919853;
62 const G4double CrossSectionsMultiPions::s01p 62 const G4double CrossSectionsMultiPions::s01pzOOT = 0.0035739814152966403123;
63 const G4double CrossSectionsMultiPions::s11p 63 const G4double CrossSectionsMultiPions::s11pmOOT = 0.0034855350296270480281;
64 const G4double CrossSectionsMultiPions::s12p 64 const G4double CrossSectionsMultiPions::s12pmOOT = 0.0016672224074691565119;
65 const G4double CrossSectionsMultiPions::s12p 65 const G4double CrossSectionsMultiPions::s12ppOOT = 0.0016507643038726931312;
66 const G4double CrossSectionsMultiPions::s12z 66 const G4double CrossSectionsMultiPions::s12zzOOT = 0.0011111111111111111111;
67 const G4double CrossSectionsMultiPions::s02p 67 const G4double CrossSectionsMultiPions::s02pzOOT = 0.00125;
68 const G4double CrossSectionsMultiPions::s02p 68 const G4double CrossSectionsMultiPions::s02pmOOT = 0.0016661112962345883443;
69 const G4double CrossSectionsMultiPions::s12m 69 const G4double CrossSectionsMultiPions::s12mzOOT = 0.0017047391749062392793;
70 70
71 CrossSectionsMultiPions::CrossSectionsMultiP 71 CrossSectionsMultiPions::CrossSectionsMultiPions() :
72 s11pzHC(-2.228000000000294018,8.7560000000 72 s11pzHC(-2.228000000000294018,8.7560000000005723725,-0.61000000000023239325,-5.4139999999999780324,3.3338333333333348023,-0.75835000000000022049,0.060623611111111114688),
73 s01ppHC(2.0570000000126518344,-6.029000000 73 s01ppHC(2.0570000000126518344,-6.029000000012135826,36.768500000002462784,-45.275666666666553533,25.112666666666611953,-7.2174166666666639187,1.0478875000000000275,-0.060804365079365080846),
74 s01pzHC(0.18030000000000441851,7.870099999 74 s01pzHC(0.18030000000000441851,7.8700999999999953598,-4.0548999999999990425,0.555199999999999959),
75 s11pmHC(0.20590000000000031866,3.345099999 75 s11pmHC(0.20590000000000031866,3.3450999999999993936,-1.4401999999999997825,0.17076666666666664973),
76 s12pmHC(-0.77235999999999901328,4.26265999 76 s12pmHC(-0.77235999999999901328,4.2626599999999991117,-1.9008899999999997323,0.30192266666666663379,-0.012270833333333331986),
77 s12ppHC(-0.75724999999999975664,2.09343999 77 s12ppHC(-0.75724999999999975664,2.0934399999999998565,-0.3803099999999999814),
78 s12zzHC(-0.89599999999996965072,7.88299999 78 s12zzHC(-0.89599999999996965072,7.882999999999978632,-7.1049999999999961928,1.884333333333333089),
79 s02pzHC(-1.0579999999999967036,11.11399999 79 s02pzHC(-1.0579999999999967036,11.113999999999994089,-8.5259999999999990196,2.0051666666666666525),
80 s02pmHC(2.4009000000012553286,-7.768000000 80 s02pmHC(2.4009000000012553286,-7.7680000000013376183,20.619000000000433505,-16.429666666666723928,5.2525708333333363472,-0.58969166666666670206),
81 s12mzHC(-0.21858699999999976269,1.91489999 81 s12mzHC(-0.21858699999999976269,1.9148999999999999722,-0.31727500000000001065,-0.027695000000000000486)
82 { 82 {
83 } 83 }
84 84
85 G4double CrossSectionsMultiPions::NNElastic( 85 G4double CrossSectionsMultiPions::NNElastic(Particle const * const part1, Particle const * const part2) {
86 86
87 /* The NN cross section is parametrised as 87 /* The NN cross section is parametrised as a function of the lab momentum
88 * of one of the nucleons. For NDelta or D 88 * of one of the nucleons. For NDelta or DeltaDelta, the physical
89 * assumption is that the cross section is 89 * assumption is that the cross section is the same as NN *for the same
90 * total CM energy*. Thus, we calculate s 90 * total CM energy*. Thus, we calculate s from the particles involved, and
91 * we convert this value to the lab moment 91 * we convert this value to the lab momentum of a nucleon *as if this were
92 * an NN collision*. 92 * an NN collision*.
93 */ 93 */
94 const G4double s = KinematicsUtils::square 94 const G4double s = KinematicsUtils::squareTotalEnergyInCM(part1, part2);
95 95
96 if(part1->isNucleon() && part2->isNucleon( 96 if(part1->isNucleon() && part2->isNucleon()) { // NN
97 const G4int i = ParticleTable::getIsospi 97 const G4int i = ParticleTable::getIsospin(part1->getType())
98 + ParticleTable::getIsospin(part2->get 98 + ParticleTable::getIsospin(part2->getType());
99 return NNElasticFixed(s, i); 99 return NNElasticFixed(s, i);
100 } 100 }
101 else { // Nucleon-Delta and Delta-Delta 101 else { // Nucleon-Delta and Delta-Delta
102 const G4double plab = 0.001*KinematicsUt 102 const G4double plab = 0.001*KinematicsUtils::momentumInLab(s, ParticleTable::effectiveNucleonMass, ParticleTable::effectiveNucleonMass);
103 if (plab < 0.440) { 103 if (plab < 0.440) {
104 return 34.*std::pow(plab/0.4, (-2.104) 104 return 34.*std::pow(plab/0.4, (-2.104));
105 } 105 }
106 else if (plab < 0.800) { 106 else if (plab < 0.800) {
107 return 23.5+1000.*std::pow(plab-0.7, 4 107 return 23.5+1000.*std::pow(plab-0.7, 4);
108 } 108 }
109 else if (plab <= 2.0) { 109 else if (plab <= 2.0) {
110 return 1250./(50.+plab)-4.*std::pow(pl 110 return 1250./(50.+plab)-4.*std::pow(plab-1.3, 2);
111 } 111 }
112 else { 112 else {
113 return 77./(plab+1.5); 113 return 77./(plab+1.5);
114 } 114 }
115 } 115 }
116 } 116 }
117 117
118 G4double CrossSectionsMultiPions::NNElasti 118 G4double CrossSectionsMultiPions::NNElasticFixed(const G4double s, const G4int i) {
119 119
120 /* From NNElastic, with isospin fixed an 120 /* From NNElastic, with isospin fixed and for NN only.
121 */ 121 */
122 122
123 G4double plab = 0.001*KinematicsUtils::m 123 G4double plab = 0.001*KinematicsUtils::momentumInLab(s, ParticleTable::effectiveNucleonMass, ParticleTable::effectiveNucleonMass);
124 G4double sigma = 0.; 124 G4double sigma = 0.;
125 125
126 if (i == 0) { // pn 126 if (i == 0) { // pn
127 if (plab < 0.446) { 127 if (plab < 0.446) {
128 G4double alp=std::log(plab); 128 G4double alp=std::log(plab);
129 sigma = 6.3555*std::exp(-3.2481*alp- 129 sigma = 6.3555*std::exp(-3.2481*alp-0.377*alp*alp);
130 } 130 }
131 else if (plab < 0.851) { 131 else if (plab < 0.851) {
132 sigma = 33.+196.*std::pow(std::fabs( 132 sigma = 33.+196.*std::pow(std::fabs(plab-0.95),2.5);
133 } 133 }
134 else if (plab <= 2.0) { 134 else if (plab <= 2.0) {
135 sigma = 31./std::sqrt(plab); 135 sigma = 31./std::sqrt(plab);
136 } 136 }
137 else { 137 else {
138 sigma = 77./(plab+1.5); 138 sigma = 77./(plab+1.5);
139 } 139 }
140 //if(plab < 0.9 && plab > 0.802) sigma 140 //if(plab < 0.9 && plab > 0.802) sigma -= 0.1387*std::exp(-std::pow((plab-0.861),2)/0.0006861); //correction if totalcx-sumcx < 0.1
141 //if(plab < 1.4 && plab > 1.31) sigma 141 //if(plab < 1.4 && plab > 1.31) sigma -= 0.1088*std::exp(-std::pow((plab-1.35),2)/0.00141); //correction if totalcx-sumcx < 0.1
142 return sigma; 142 return sigma;
143 } 143 }
144 else { // pp and nn 144 else { // pp and nn
145 if (plab < 0.440) { 145 if (plab < 0.440) {
146 return 34.*std::pow(plab/0.4, (-2.10 146 return 34.*std::pow(plab/0.4, (-2.104));
147 } 147 }
148 else if (plab < 0.8067) { 148 else if (plab < 0.8067) {
149 return 23.5+1000.*std::pow(plab-0.7, 149 return 23.5+1000.*std::pow(plab-0.7, 4);
150 } 150 }
151 else if (plab <= 2.0) { 151 else if (plab <= 2.0) {
152 return 1250./(50.+plab)-4.*std::pow( 152 return 1250./(50.+plab)-4.*std::pow(plab-1.3, 2);
153 } 153 }
154 else if (plab <= 3.0956) { 154 else if (plab <= 3.0956) {
155 return 77./(plab+1.5); 155 return 77./(plab+1.5);
156 } 156 }
157 else { 157 else {
158 G4double alp=std::log(plab); 158 G4double alp=std::log(plab);
159 return 11.2+25.5*std::pow(plab, -1.1 159 return 11.2+25.5*std::pow(plab, -1.12)+0.151*std::pow(alp, 2)-1.62*alp;
160 } 160 }
161 } 161 }
162 } 162 }
163 163
164 G4double CrossSectionsMultiPions::NNTot(Pa 164 G4double CrossSectionsMultiPions::NNTot(Particle const * const part1, Particle const * const part2) {
165 165
166 G4int i = ParticleTable::getIsospin(pa 166 G4int i = ParticleTable::getIsospin(part1->getType())
167 + ParticleTable::getIsospin(part2->get 167 + ParticleTable::getIsospin(part2->getType());
168 168
169 if(part1->isNucleon() && part2->isNucl 169 if(part1->isNucleon() && part2->isNucleon()) { // NN
170 const G4double s = KinematicsUtils:: 170 const G4double s = KinematicsUtils::squareTotalEnergyInCM(part1, part2);
171 return NNTotFixed(s, i); 171 return NNTotFixed(s, i);
172 } 172 }
173 else if (part1->isDelta() && part2->is 173 else if (part1->isDelta() && part2->isDelta()) { // Delta-Delta
174 return elastic(part1, part2); 174 return elastic(part1, part2);
175 } 175 }
176 else { // Nucleon-Delta 176 else { // Nucleon-Delta
177 return NDeltaToNN(part1, part2) + 177 return NDeltaToNN(part1, part2) + elastic(part1, part2);
178 } 178 }
179 } 179 }
180 180
181 G4double CrossSectionsMultiPions::NNTotFix 181 G4double CrossSectionsMultiPions::NNTotFixed(const G4double s, const G4int i) {
182 182
183 /* From NNTot, with isospin fixed and fo 183 /* From NNTot, with isospin fixed and for NN only.
184 */ 184 */
185 185
186 G4double plab = 0.001*KinematicsUtils::m 186 G4double plab = 0.001*KinematicsUtils::momentumInLab(s, ParticleTable::effectiveNucleonMass, ParticleTable::effectiveNucleonMass);
187 187
188 if (i == 0) { // pn 188 if (i == 0) { // pn
189 if (plab < 0.446) { 189 if (plab < 0.446) {
190 G4double alp=std::log(plab); 190 G4double alp=std::log(plab);
191 return 6.3555*std::exp(-3.2481*alp-0 191 return 6.3555*std::exp(-3.2481*alp-0.377*std::pow(alp, 2));
192 } 192 }
193 else if (plab < 1.0) { 193 else if (plab < 1.0) {
194 return 33.+196.*std::sqrt(std::pow(s 194 return 33.+196.*std::sqrt(std::pow(std::fabs(plab-0.95),5));
195 } 195 }
196 else if (plab < 1.924) { 196 else if (plab < 1.924) {
197 return 24.2+8.9*plab; 197 return 24.2+8.9*plab;
198 } 198 }
199 else { 199 else {
200 G4double alp=std::log(plab); 200 G4double alp=std::log(plab);
201 return 48.9-33.7*std::pow(plab, -3.0 201 return 48.9-33.7*std::pow(plab, -3.08)+0.619*std::pow(alp, 2)-5.12*alp;
202 } 202 }
203 } 203 }
204 else { // pp and nn 204 else { // pp and nn
205 if (plab < 0.440) { 205 if (plab < 0.440) {
206 return 34.*std::pow(plab/0.4, (-2.10 206 return 34.*std::pow(plab/0.4, (-2.104));
207 } 207 }
208 else if (plab < 0.8734) { 208 else if (plab < 0.8734) {
209 return 23.5+1000.*std::pow(plab-0.7, 209 return 23.5+1000.*std::pow(plab-0.7, 4);
210 } 210 }
211 else if (plab < 1.5) { 211 else if (plab < 1.5) {
212 return 23.5+24.6/(1.+std::exp(-10.*( 212 return 23.5+24.6/(1.+std::exp(-10.*(plab-1.2)));
213 } 213 }
214 else if (plab < 3.0044) { 214 else if (plab < 3.0044) {
215 return 41.+60.*(plab-0.9)*std::exp(- 215 return 41.+60.*(plab-0.9)*std::exp(-1.2*plab);
216 } 216 }
217 else { 217 else {
218 G4double alp=std::log(plab); 218 G4double alp=std::log(plab);
219 return 45.6+219.*std::pow(plab, -4.2 219 return 45.6+219.*std::pow(plab, -4.23)+0.41*std::pow(alp, 2)-3.41*alp;
220 } 220 }
221 } 221 }
222 } 222 }
223 223
224 G4double CrossSectionsMultiPions::NNInelas 224 G4double CrossSectionsMultiPions::NNInelasticIso(const G4double ener, const G4int iso) {
225 225
226 const G4double s = ener*ener; 226 const G4double s = ener*ener;
227 G4double sincl; 227 G4double sincl;
228 228
229 if (iso != 0) { 229 if (iso != 0) {
230 if(s>=4074595.287720512986) { // plab> 230 if(s>=4074595.287720512986) { // plab>800 MeV/c
231 sincl = NNTotFixed(s, 2)-NNElasticFi 231 sincl = NNTotFixed(s, 2)-NNElasticFixed(s, 2);
232 } 232 }
233 else { 233 else {
234 sincl = 0. ; 234 sincl = 0. ;
235 } 235 }
236 } else { 236 } else {
237 if(s>=4074595.287720512986) { // plab> 237 if(s>=4074595.287720512986) { // plab>800 MeV/c
238 sincl = 2*(NNTotFixed(s, 0)-NNElasti 238 sincl = 2*(NNTotFixed(s, 0)-NNElasticFixed(s, 0))-(NNTotFixed(s, 2)-NNElasticFixed(s, 2));
239 } 239 }
240 else { 240 else {
241 return 0. ; 241 return 0. ;
242 } 242 }
243 } 243 }
244 if (sincl < 0.) sincl = 0.; 244 if (sincl < 0.) sincl = 0.;
245 return sincl; 245 return sincl;
246 } 246 }
247 247
248 G4double CrossSectionsMultiPions::NNOnePiO 248 G4double CrossSectionsMultiPions::NNOnePiOrDelta(const G4double ener, const G4int iso, const G4double xsiso) {
249 249
250 /* Article J. Physique 48 (1987)1901-1 250 /* Article J. Physique 48 (1987)1901-1924 "Energy dependence of
251 nucleon-cucleon inelastic total cross 251 nucleon-cucleon inelastic total cross-sections."
252 J. Bystricky, P. La France, F. Lehar, 252 J. Bystricky, P. La France, F. Lehar, F. Perrot, T. Siemiarczuk & P. Winternitz
253 S11PZ= section pp->pp pi0 253 S11PZ= section pp->pp pi0
254 S01PP= section pp->pn pi+ 254 S01PP= section pp->pn pi+
255 S01PZ= section pn->pn pi0 255 S01PZ= section pn->pn pi0
256 S11PM= section pn->pp pi- 256 S11PM= section pn->pp pi-
257 S= X-Section, 1st number : 1 if pp an 257 S= X-Section, 1st number : 1 if pp and 0 if pn
258 2nd number = number of pions, PP= pi+ 258 2nd number = number of pions, PP= pi+; PZ= pi0 ; PM= pi-
259 */ 259 */
260 260
261 const G4double s = ener*ener; 261 const G4double s = ener*ener;
262 G4double plab = 0.001*KinematicsUtils: 262 G4double plab = 0.001*KinematicsUtils::momentumInLab(s, ParticleTable::effectiveNucleonMass, ParticleTable::effectiveNucleonMass);
263 263
264 G4double snnpit1=0.; 264 G4double snnpit1=0.;
265 G4double snnpit=0.; 265 G4double snnpit=0.;
266 G4double s11pz=0.; 266 G4double s11pz=0.;
267 G4double s01pp=0.; 267 G4double s01pp=0.;
268 G4double s01pz=0.; 268 G4double s01pz=0.;
269 G4double s11pm=0.; 269 G4double s11pm=0.;
270 270
271 if ((iso != 0) && (plab < 2.1989)) { 271 if ((iso != 0) && (plab < 2.1989)) {
272 snnpit = xsiso - NNTwoPi(ener, iso 272 snnpit = xsiso - NNTwoPi(ener, iso, xsiso);
273 if (snnpit < 1.e-8) snnpit=0.; 273 if (snnpit < 1.e-8) snnpit=0.;
274 return snnpit; 274 return snnpit;
275 } 275 }
276 else if ((iso == 0) && (plab < 1.7369) 276 else if ((iso == 0) && (plab < 1.7369)) {
277 snnpit = xsiso; 277 snnpit = xsiso;
278 if (snnpit < 1.e-8) snnpit=0.; 278 if (snnpit < 1.e-8) snnpit=0.;
279 return snnpit; 279 return snnpit;
280 } 280 }
281 281
282 //s11pz 282 //s11pz
283 if (plab > 18.) { 283 if (plab > 18.) {
284 s11pz=55.185/std::pow((0.1412*plab 284 s11pz=55.185/std::pow((0.1412*plab+5),2);
285 } 285 }
286 else if (plab > 13.9) { 286 else if (plab > 13.9) {
287 G4double alp=std::log(plab); 287 G4double alp=std::log(plab);
288 s11pz=6.67-13.3*std::pow(plab, -6. 288 s11pz=6.67-13.3*std::pow(plab, -6.18)+0.456*alp*alp-3.29*alp;
289 } 289 }
290 else if (plab >= 0.7765) { 290 else if (plab >= 0.7765) {
291 const G4double b=BystrickyEvaluato 291 const G4double b=BystrickyEvaluator<7>::eval(plab,s11pzOOT,s11pzHC);
292 s11pz=b*b; 292 s11pz=b*b;
293 } 293 }
294 //s01pp 294 //s01pp
295 if (plab >= 0.79624) { 295 if (plab >= 0.79624) {
296 const G4double b=BystrickyEvaluato 296 const G4double b=BystrickyEvaluator<8>::eval(plab,s01ppOOT,s01ppHC);
297 s01pp=b*b; 297 s01pp=b*b;
298 } 298 }
299 299
300 // channel T=1 300 // channel T=1
301 snnpit1=s11pz+s01pp; 301 snnpit1=s11pz+s01pp;
302 if (snnpit1 < 1.e-8) snnpit1=0.; 302 if (snnpit1 < 1.e-8) snnpit1=0.;
303 if (iso != 0) { 303 if (iso != 0) {
304 return snnpit1; 304 return snnpit1;
305 } 305 }
306 306
307 //s01pz 307 //s01pz
308 if (plab > 4.5) { 308 if (plab > 4.5) {
309 s01pz=15289.4/std::pow((11.573*pla 309 s01pz=15289.4/std::pow((11.573*plab+5),2);
310 } 310 }
311 else if (plab >= 0.777) { 311 else if (plab >= 0.777) {
312 const G4double b=BystrickyEvaluato 312 const G4double b=BystrickyEvaluator<4>::eval(plab,s01pzOOT,s01pzHC);
313 s01pz=b*b; 313 s01pz=b*b;
314 } 314 }
315 //s11pm 315 //s11pm
316 if (plab > 14.) { 316 if (plab > 14.) {
317 s11pm=46.68/std::pow((0.2231*plab+ 317 s11pm=46.68/std::pow((0.2231*plab+5),2);
318 } 318 }
319 else if (plab >= 0.788) { 319 else if (plab >= 0.788) {
320 const G4double b=BystrickyEvaluato 320 const G4double b=BystrickyEvaluator<4>::eval(plab,s11pmOOT,s11pmHC);
321 s11pm=b*b; 321 s11pm=b*b;
322 } 322 }
323 323
324 // channel T=0 324 // channel T=0
325 // snnpit=s01pz+2*s11pm-snnpit1; //modi 325 // snnpit=s01pz+2*s11pm-snnpit1; //modif 2*(s01pz+2*s11pm)-snnpit1;
326 snnpit = 2*(s01pz+2*s11pm)-snnpit1; 326 snnpit = 2*(s01pz+2*s11pm)-snnpit1;
327 if (snnpit < 1.e-8) snnpit=0.; 327 if (snnpit < 1.e-8) snnpit=0.;
328 return snnpit; 328 return snnpit;
329 } 329 }
330 330
331 G4double CrossSectionsMultiPions::NNTwoPi( 331 G4double CrossSectionsMultiPions::NNTwoPi(const G4double ener, const G4int iso, const G4double xsiso) {
332 332
333 /* Article J. Physique 48 (1987)1901-1 333 /* Article J. Physique 48 (1987)1901-1924 "Energy dependence of nucleon-cucleon inelastic total cross-sections."
334 J. Bystricky, P. La France, F. Leha 334 J. Bystricky, P. La France, F. Lehar, F. Perrot, T. Siemiarczuk & P. Winternitz
335 S12PM : pp -> pp Pi+ Pi- 335 S12PM : pp -> pp Pi+ Pi-
336 S12ZZ : pp -> pp Pi0 Pi0 336 S12ZZ : pp -> pp Pi0 Pi0
337 S12PP : pp -> nn Pi+ Pi+ 337 S12PP : pp -> nn Pi+ Pi+
338 S02PZ : pp -> pn Pi+ Pi0 338 S02PZ : pp -> pn Pi+ Pi0
339 S02PM : pn -> pn Pi+ Pi- 339 S02PM : pn -> pn Pi+ Pi-
340 S12MZ : pn -> pp Pi- Pi0 340 S12MZ : pn -> pp Pi- Pi0
341 */ 341 */
342 342
343 const G4double s = ener*ener; 343 const G4double s = ener*ener;
344 G4double plab = 0.001*KinematicsUtils: 344 G4double plab = 0.001*KinematicsUtils::momentumInLab(s, ParticleTable::effectiveNucleonMass, ParticleTable::effectiveNucleonMass);
345 345
346 G4double snn2pit=0.; 346 G4double snn2pit=0.;
347 G4double s12pm=0.; 347 G4double s12pm=0.;
348 G4double s12pp=0.; 348 G4double s12pp=0.;
349 G4double s12zz=0.; 349 G4double s12zz=0.;
350 G4double s02pz=0.; 350 G4double s02pz=0.;
351 G4double s02pm=0.; 351 G4double s02pm=0.;
352 G4double s12mz=0.; 352 G4double s12mz=0.;
353 353
354 if (iso==0 && plab<3.33) { 354 if (iso==0 && plab<3.33) {
355 snn2pit = xsiso - NNOnePiOrDelta(e 355 snn2pit = xsiso - NNOnePiOrDelta(ener, iso, xsiso);
356 if (snn2pit < 1.e-8) snn2pit=0.; 356 if (snn2pit < 1.e-8) snn2pit=0.;
357 return snn2pit; 357 return snn2pit;
358 } 358 }
359 359
360 if (iso != 0) { 360 if (iso != 0) {
361 //s12pm 361 //s12pm
362 if (plab > 15.) { 362 if (plab > 15.) {
363 s12pm=25.977/plab; 363 s12pm=25.977/plab;
364 } 364 }
365 else if (plab >= 1.3817) { 365 else if (plab >= 1.3817) {
366 const G4double b=BystrickyEvaluato 366 const G4double b=BystrickyEvaluator<5>::eval(plab,s12pmOOT,s12pmHC);
367 s12pm=b*b; 367 s12pm=b*b;
368 } 368 }
369 //s12pp 369 //s12pp
370 if (plab > 10.) { 370 if (plab > 10.) {
371 s12pp=141.505/std::pow((-0.1016*pl 371 s12pp=141.505/std::pow((-0.1016*plab-7),2);
372 } 372 }
373 else if (plab >= 1.5739) { 373 else if (plab >= 1.5739) {
374 const G4double b=BystrickyEvaluato 374 const G4double b=BystrickyEvaluator<3>::eval(plab,s12ppOOT,s12ppHC);
375 s12pp=b*b; 375 s12pp=b*b;
376 } 376 }
377 } 377 }
378 //s12zz 378 //s12zz
379 if (plab > 4.) { 379 if (plab > 4.) {
380 s12zz=97.355/std::pow((1.1579*plab 380 s12zz=97.355/std::pow((1.1579*plab+5),2);
381 } 381 }
382 else if (plab >= 1.72207) { 382 else if (plab >= 1.72207) {
383 const G4double b=BystrickyEvaluato 383 const G4double b=BystrickyEvaluator<4>::eval(plab,s12zzOOT,s12zzHC);
384 s12zz=b*b; 384 s12zz=b*b;
385 } 385 }
386 //s02pz 386 //s02pz
387 if (plab > 4.5) { 387 if (plab > 4.5) {
388 s02pz=178.082/std::pow((0.2014*pla 388 s02pz=178.082/std::pow((0.2014*plab+5),2);
389 } 389 }
390 else if (plab >= 1.5656) { 390 else if (plab >= 1.5656) {
391 const G4double b=BystrickyEvaluato 391 const G4double b=BystrickyEvaluator<4>::eval(plab,s02pzOOT,s02pzHC);
392 s02pz=b*b; 392 s02pz=b*b;
393 } 393 }
394 394
395 // channel T=1 395 // channel T=1
396 if (iso != 0) { 396 if (iso != 0) {
397 snn2pit=s12pm+s12pp+s12zz+s02pz; 397 snn2pit=s12pm+s12pp+s12zz+s02pz;
398 if (snn2pit < 1.e-8) snn2pit=0.; 398 if (snn2pit < 1.e-8) snn2pit=0.;
399 return snn2pit; 399 return snn2pit;
400 } 400 }
401 401
402 //s02pm 402 //s02pm
403 if (plab > 5.) { 403 if (plab > 5.) {
404 s02pm=135.826/std::pow(plab,2); 404 s02pm=135.826/std::pow(plab,2);
405 } 405 }
406 else if (plab >= 1.21925) { 406 else if (plab >= 1.21925) {
407 const G4double b=BystrickyEvaluato 407 const G4double b=BystrickyEvaluator<6>::eval(plab,s02pmOOT,s02pmHC);
408 s02pm=b*b; 408 s02pm=b*b;
409 } 409 }
410 //s12mz 410 //s12mz
411 if (plab >= 1.29269) { 411 if (plab >= 1.29269) {
412 const G4double b=BystrickyEvaluato 412 const G4double b=BystrickyEvaluator<4>::eval(plab,s12mzOOT,s12mzHC);
413 s12mz=b*b; 413 s12mz=b*b;
414 } 414 }
415 415
416 // channel T=0 416 // channel T=0
417 // snn2pit=3*(0.5*s02pm+0.5*s12mz-0.5*s 417 // snn2pit=3*(0.5*s02pm+0.5*s12mz-0.5*s02pz-s12zz); //modif snn2pit=3*(s02pm+0.5*s12mz-0.5*s02pz-s12zz);
418 snn2pit=3*(s02pm+0.5*s12mz-0.5*s02pz-s 418 snn2pit=3*(s02pm+0.5*s12mz-0.5*s02pz-s12zz);
419 if (snn2pit < 1.e-8) snn2pit=0.; 419 if (snn2pit < 1.e-8) snn2pit=0.;
420 return snn2pit; 420 return snn2pit;
421 } 421 }
422 422
423 G4double CrossSectionsMultiPions::NNThreeP 423 G4double CrossSectionsMultiPions::NNThreePi(const G4double ener, const G4int iso, const G4double xsiso, const G4double xs1pi, const G4double xs2pi) {
424 424
425 const G4double s = ener*ener; 425 const G4double s = ener*ener;
426 G4double plab = 0.001*KinematicsUtils: 426 G4double plab = 0.001*KinematicsUtils::momentumInLab(s, ParticleTable::effectiveNucleonMass, ParticleTable::effectiveNucleonMass);
427 427
428 G4double snn3pit=0.; 428 G4double snn3pit=0.;
429 429
430 if (iso == 0) { 430 if (iso == 0) {
431 // channel T=0 431 // channel T=0
432 if (plab > 7.2355) { 432 if (plab > 7.2355) {
433 return 46.72/std::pow((plab - 433 return 46.72/std::pow((plab - 5.8821),2);
434 } 434 }
435 else { 435 else {
436 snn3pit=xsiso-xs1pi-xs2pi; 436 snn3pit=xsiso-xs1pi-xs2pi;
437 if (snn3pit < 1.e-8) snn3pit=0 437 if (snn3pit < 1.e-8) snn3pit=0.;
438 return snn3pit; 438 return snn3pit;
439 } 439 }
440 } 440 }
441 else { 441 else {
442 // channel T=1 442 // channel T=1
443 if (plab > 7.206) { 443 if (plab > 7.206) {
444 return 5592.92/std::pow((plab+ 444 return 5592.92/std::pow((plab+14.9764),2);
445 } 445 }
446 else if (plab > 2.1989){ 446 else if (plab > 2.1989){
447 snn3pit=xsiso-xs1pi-xs2pi; 447 snn3pit=xsiso-xs1pi-xs2pi;
448 if (snn3pit < 1.e-8) snn3pit=0 448 if (snn3pit < 1.e-8) snn3pit=0.;
449 return snn3pit; 449 return snn3pit;
450 } 450 }
451 else return snn3pit; 451 else return snn3pit;
452 } 452 }
453 } 453 }
454 454
455 G4double CrossSectionsMultiPions::NNOnePi( 455 G4double CrossSectionsMultiPions::NNOnePi(Particle const * const particle1, Particle const * const particle2) {
456 // Cross section for nucleon-nucleon d 456 // Cross section for nucleon-nucleon directly producing one pion
457 457
458 const G4int iso=ParticleTable::getIsos 458 const G4int iso=ParticleTable::getIsospin(particle1->getType()) + ParticleTable::getIsospin(particle2->getType());
459 if (iso!=0) // If pp or nn we choose t 459 if (iso!=0) // If pp or nn we choose to always pass by the N-N to N-Delta channel
460 return 0.; 460 return 0.;
461 461
462 const G4double ener=KinematicsUtils::t 462 const G4double ener=KinematicsUtils::totalEnergyInCM(particle1, particle2);
463 463
464 const G4double xsiso2=NNInelasticIso(e 464 const G4double xsiso2=NNInelasticIso(ener, 2);
465 const G4double xsiso0=NNInelasticIso(e 465 const G4double xsiso0=NNInelasticIso(ener, 0);
466 return 0.25*(NNOnePiOrDelta(ener, 0, x 466 return 0.25*(NNOnePiOrDelta(ener, 0, xsiso0)+ NNOnePiOrDelta(ener, 2, xsiso2));
467 } 467 }
468 468
469 G4double CrossSectionsMultiPions::NNOnePiO 469 G4double CrossSectionsMultiPions::NNOnePiOrDelta(Particle const * const particle1, Particle const * const particle2) {
470 // Cross section for nucleon-nucleon d 470 // Cross section for nucleon-nucleon directly producing one pion or producing a nucleon-delta pair
471 const G4double ener=KinematicsUtils::t 471 const G4double ener=KinematicsUtils::totalEnergyInCM(particle1, particle2);
472 const G4int iso=ParticleTable::getIsos 472 const G4int iso=ParticleTable::getIsospin(particle1->getType()) + ParticleTable::getIsospin(particle2->getType());
473 473
474 const G4double xsiso2=NNInelasticIso(e 474 const G4double xsiso2=NNInelasticIso(ener, 2);
475 if (iso != 0) 475 if (iso != 0)
476 return NNOnePiOrDelta(ener, iso, xsi 476 return NNOnePiOrDelta(ener, iso, xsiso2);
477 else { 477 else {
478 const G4double xsiso0=NNInelasticIso 478 const G4double xsiso0=NNInelasticIso(ener, 0);
479 return 0.5*(NNOnePiOrDelta(ener, 0, 479 return 0.5*(NNOnePiOrDelta(ener, 0, xsiso0)+ NNOnePiOrDelta(ener, 2, xsiso2));
480 } 480 }
481 } 481 }
482 482
483 G4double CrossSectionsMultiPions::NNTwoPi( 483 G4double CrossSectionsMultiPions::NNTwoPi(Particle const * const particle1, Particle const * const particle2) {
484 // 484 //
485 // Nucleon-Nucleon producing one p 485 // Nucleon-Nucleon producing one pion cross sections
486 // 486 //
487 const G4double ener=KinematicsUtils::t 487 const G4double ener=KinematicsUtils::totalEnergyInCM(particle1, particle2);
488 const G4int iso=ParticleTable::getIsos 488 const G4int iso=ParticleTable::getIsospin(particle1->getType()) + ParticleTable::getIsospin(particle2->getType());
489 489
490 490
491 const G4double xsiso2=NNInelasticIso(e 491 const G4double xsiso2=NNInelasticIso(ener, 2);
492 if (iso != 0) { 492 if (iso != 0) {
493 return NNTwoPi(ener, 2, xsiso2); 493 return NNTwoPi(ener, 2, xsiso2);
494 } 494 }
495 else { 495 else {
496 const G4double xsiso0=NNInelasticI 496 const G4double xsiso0=NNInelasticIso(ener, 0);
497 return 0.5*(NNTwoPi(ener, 0, xsiso 497 return 0.5*(NNTwoPi(ener, 0, xsiso0)+ NNTwoPi(ener, 2, xsiso2));
498 } 498 }
499 return 0.0; // Should never reach this 499 return 0.0; // Should never reach this point
500 } 500 }
501 501
502 G4double CrossSectionsMultiPions::NNThreeP 502 G4double CrossSectionsMultiPions::NNThreePi(Particle const * const particle1, Particle const * const particle2) {
503 // 503 //
504 // Nucleon-Nucleon producing one p 504 // Nucleon-Nucleon producing one pion cross sections
505 // 505 //
506 506
507 const G4double ener=KinematicsUtils::t 507 const G4double ener=KinematicsUtils::totalEnergyInCM(particle1, particle2);
508 const G4int iso=ParticleTable::getIsos 508 const G4int iso=ParticleTable::getIsospin(particle1->getType()) + ParticleTable::getIsospin(particle2->getType());
509 509
510 510
511 const G4double xsiso2=NNInelasticIso(e 511 const G4double xsiso2=NNInelasticIso(ener, 2);
512 const G4double xs1pi2=NNOnePiOrDelta(e 512 const G4double xs1pi2=NNOnePiOrDelta(ener, 2, xsiso2);
513 const G4double xs2pi2=NNTwoPi(ener, 2, 513 const G4double xs2pi2=NNTwoPi(ener, 2, xsiso2);
514 if (iso != 0) 514 if (iso != 0)
515 return NNThreePi(ener, 2, xsiso2, xs 515 return NNThreePi(ener, 2, xsiso2, xs1pi2, xs2pi2);
516 else { 516 else {
517 const G4double xsiso0=NNInelasticIso 517 const G4double xsiso0=NNInelasticIso(ener, 0);
518 const G4double xs1pi0=NNOnePiOrDelta 518 const G4double xs1pi0=NNOnePiOrDelta(ener, 0, xsiso0);
519 const G4double xs2pi0=NNTwoPi(ener, 519 const G4double xs2pi0=NNTwoPi(ener, 0, xsiso0);
520 return 0.5*(NNThreePi(ener, 0, xsiso 520 return 0.5*(NNThreePi(ener, 0, xsiso0, xs1pi0, xs2pi0)+ NNThreePi(ener, 2, xsiso2, xs1pi2, xs2pi2));
521 } 521 }
522 } 522 }
523 523
524 G4double CrossSectionsMultiPions::NNFourPi 524 G4double CrossSectionsMultiPions::NNFourPi(Particle const * const particle1, Particle const * const particle2) {
525 const G4double s = KinematicsUtils::squa 525 const G4double s = KinematicsUtils::squareTotalEnergyInCM(particle1, particle2);
526 if(s<6.25E6) 526 if(s<6.25E6)
527 return 0.; 527 return 0.;
528 const G4double sigma = NNTot(particle1, 528 const G4double sigma = NNTot(particle1, particle2) - NNElastic(particle1, particle2) - NNOnePiOrDelta(particle1, particle2) - NNTwoPi(particle1, particle2) - NNThreePi(particle1, particle2);
529 return ((sigma>1.e-9) ? sigma : 0.); 529 return ((sigma>1.e-9) ? sigma : 0.);
530 } 530 }
531 531
532 G4double CrossSectionsMultiPions::NNToxPiN 532 G4double CrossSectionsMultiPions::NNToxPiNN(const G4int xpi, Particle const * const particle1, Particle const * const particle2) {
533 // 533 //
534 // Nucleon-Nucleon producing xpi pio 534 // Nucleon-Nucleon producing xpi pions cross sections
535 // 535 //
536 // assert(xpi>0 && xpi<=nMaxPiNN); 536 // assert(xpi>0 && xpi<=nMaxPiNN);
537 // assert(particle1->isNucleon() && particle2- 537 // assert(particle1->isNucleon() && particle2->isNucleon());
538 538
539 if (xpi == 1) 539 if (xpi == 1)
540 return NNOnePi(particle1, particle2); 540 return NNOnePi(particle1, particle2);
541 else if (xpi == 2) 541 else if (xpi == 2)
542 return NNTwoPi(particle1, particle2); 542 return NNTwoPi(particle1, particle2);
543 else if (xpi == 3) 543 else if (xpi == 3)
544 return NNThreePi(particle1, particle2) 544 return NNThreePi(particle1, particle2);
545 else if (xpi == 4) 545 else if (xpi == 4)
546 return NNFourPi(particle1, particle2); 546 return NNFourPi(particle1, particle2);
547 else // should never reach this point 547 else // should never reach this point
548 return 0.; 548 return 0.;
549 } 549 }
550 550
551 551
552 G4double CrossSectionsMultiPions::spnPiPlusP 552 G4double CrossSectionsMultiPions::spnPiPlusPHE(const G4double x) {
553 // HE and LE pi- p and pi+ n 553 // HE and LE pi- p and pi+ n
554 G4double ramass = 0.0; 554 G4double ramass = 0.0;
555 555
556 if(x <= 1306.78) { 556 if(x <= 1306.78) {
557 G4double y = x*x; 557 G4double y = x*x;
558 G4double q2; 558 G4double q2;
559 q2=(y-std::pow(1076.0, 2))*(y-std::pow( 559 q2=(y-std::pow(1076.0, 2))*(y-std::pow(800.0, 2))/(4.0*y);
560 if (q2 > 0.) { 560 if (q2 > 0.) {
561 G4double q3=std::pow(q2, 3./2.); 561 G4double q3=std::pow(q2, 3./2.);
562 G4double f3=q3/(q3+std::pow(180.0, 3 562 G4double f3=q3/(q3+std::pow(180.0, 3));
563 G4double sdel; 563 G4double sdel;
564 sdel=326.5/(std::pow((x-1215.0-ramass)*2.0 564 sdel=326.5/(std::pow((x-1215.0-ramass)*2.0/110.0,2)+1.0);
565 return sdel*f3*(1.0-5.0*ramass/1215.0); 565 return sdel*f3*(1.0-5.0*ramass/1215.0);
566 } 566 }
567 else { 567 else {
568 return 0; 568 return 0;
569 } 569 }
570 } 570 }
571 if(x <= 1754.0) { 571 if(x <= 1754.0) {
572 return -2.33730e-06*std::pow(x, 3)+1.138 572 return -2.33730e-06*std::pow(x, 3)+1.13819e-02*std::pow(x,2)
573 -1.83993e+01*x+9893.4; 573 -1.83993e+01*x+9893.4;
574 } else if (x <= 2150.0) { 574 } else if (x <= 2150.0) {
575 return 1.13531e-06*std::pow(x, 3)-6.9169 575 return 1.13531e-06*std::pow(x, 3)-6.91694e-03*std::pow(x, 2)
576 +1.39907e+01*x-9360.76; 576 +1.39907e+01*x-9360.76;
577 } else { 577 } else {
578 return -3.18087*std::log(x)+52.9784; 578 return -3.18087*std::log(x)+52.9784;
579 } 579 }
580 } 580 }
581 581
582 G4double CrossSectionsMultiPions::spnPiMinus 582 G4double CrossSectionsMultiPions::spnPiMinusPHE(const G4double x) {
583 // HE pi- p and pi+ n 583 // HE pi- p and pi+ n
584 G4double ramass = 0.0; 584 G4double ramass = 0.0;
585 585
586 if(x <= 1275.8) { 586 if(x <= 1275.8) {
587 G4double y = x*x; 587 G4double y = x*x;
588 G4double q2; 588 G4double q2;
589 q2=(y-std::pow(1076.0, 2))*(y-std::pow( 589 q2=(y-std::pow(1076.0, 2))*(y-std::pow(800.0, 2))/(4.0*y);
590 if (q2 > 0.) { 590 if (q2 > 0.) {
591 G4double q3=std::pow(q2, 3./2.); 591 G4double q3=std::pow(q2, 3./2.);
592 G4double f3=q3/(q3+std::pow(180.0, 3 592 G4double f3=q3/(q3+std::pow(180.0, 3));
593 G4double sdel; 593 G4double sdel;
594 sdel=326.5/(std::pow((x-1215.0-ramass)*2.0 594 sdel=326.5/(std::pow((x-1215.0-ramass)*2.0/110.0,2)+1.0);
595 return sdel*f3*(1.0-5.0*ramass/1215.0)/3.; 595 return sdel*f3*(1.0-5.0*ramass/1215.0)/3.;
596 } 596 }
597 else { 597 else {
598 return 0; 598 return 0;
599 } 599 }
600 } 600 }
601 if(x <= 1495.0) { 601 if(x <= 1495.0) {
602 return 0.00120683*(x-1372.52)*(x-1372.52 602 return 0.00120683*(x-1372.52)*(x-1372.52)+26.2058;
603 } else if(x <= 1578.0) { 603 } else if(x <= 1578.0) {
604 return 1.15873e-05*x*x+49965.6/((x-1519. 604 return 1.15873e-05*x*x+49965.6/((x-1519.59)*(x-1519.59)+2372.55);
605 } else if(x <= 2028.4) { 605 } else if(x <= 2028.4) {
606 return 34.0248+43262.2/((x-1681.65)*(x-1 606 return 34.0248+43262.2/((x-1681.65)*(x-1681.65)+1689.35);
607 } else if(x <= 7500.0) { 607 } else if(x <= 7500.0) {
608 return 3.3e-7*(x-7500.0)*(x-7500.0)+24.5 608 return 3.3e-7*(x-7500.0)*(x-7500.0)+24.5;
609 } else { 609 } else {
610 return 24.5; 610 return 24.5;
611 } 611 }
612 } 612 }
613 613
614 G4double CrossSectionsMultiPions::total(Part 614 G4double CrossSectionsMultiPions::total(Particle const * const p1, Particle const * const p2) {
615 G4double inelastic; 615 G4double inelastic;
616 if(p1->isNucleon() && p2->isNucleon()) { 616 if(p1->isNucleon() && p2->isNucleon()) {
617 return NNTot(p1, p2); 617 return NNTot(p1, p2);
618 } else if((p1->isNucleon() && p2->isDelta( 618 } else if((p1->isNucleon() && p2->isDelta()) ||
619 (p1->isDelta() && p2->isNucleon( 619 (p1->isDelta() && p2->isNucleon())) {
620 inelastic = NDeltaToNN(p1, p2); 620 inelastic = NDeltaToNN(p1, p2);
621 } else if((p1->isNucleon() && p2->isPion() 621 } else if((p1->isNucleon() && p2->isPion()) ||
622 (p1->isPion() && p2->isNucleon() 622 (p1->isPion() && p2->isNucleon())) {
623 return piNTot(p1,p2); 623 return piNTot(p1,p2);
624 } else { 624 } else {
625 inelastic = 0.; 625 inelastic = 0.;
626 } 626 }
627 627
628 return inelastic + elastic(p1, p2); 628 return inelastic + elastic(p1, p2);
629 } 629 }
630 630
631 631
632 G4double CrossSectionsMultiPions::piNIne(Par 632 G4double CrossSectionsMultiPions::piNIne(Particle const * const particle1, Particle const * const particle2) {
633 // piN inelastic cross section (Delta 633 // piN inelastic cross section (Delta excluded)
634 634
635 const Particle *pion; 635 const Particle *pion;
636 const Particle *nucleon; 636 const Particle *nucleon;
637 if(particle1->isNucleon()) { 637 if(particle1->isNucleon()) {
638 nucleon = particle1; 638 nucleon = particle1;
639 pion = particle2; 639 pion = particle2;
640 } else { 640 } else {
641 pion = particle1; 641 pion = particle1;
642 nucleon = particle2; 642 nucleon = particle2;
643 } 643 }
644 // assert(pion->isPion()); 644 // assert(pion->isPion());
645 645
646 const G4double pLab = KinematicsUtils::mom 646 const G4double pLab = KinematicsUtils::momentumInLab(pion, nucleon);
647 647
648 // these limits correspond to sqrt(s)=1230 648 // these limits correspond to sqrt(s)=1230 and 20000 MeV
649 if(pLab>212677. || pLab<296.367) 649 if(pLab>212677. || pLab<296.367)
650 return 0.0; 650 return 0.0;
651 651
652 const G4int ipit3 = ParticleTable::getIsos 652 const G4int ipit3 = ParticleTable::getIsospin(pion->getType());
653 const G4int ind2t3 = ParticleTable::getIso 653 const G4int ind2t3 = ParticleTable::getIsospin(nucleon->getType());
654 const G4int cg = 4 + ind2t3*ipit3; 654 const G4int cg = 4 + ind2t3*ipit3;
655 // assert(cg==2 || cg==4 || cg==6); 655 // assert(cg==2 || cg==4 || cg==6);
656 656
657 // const G4double p1=1e-3*pLab; 657 // const G4double p1=1e-3*pLab;
658 // const G4double p2=std::log(p1); 658 // const G4double p2=std::log(p1);
659 G4double xpipp = 0.0; 659 G4double xpipp = 0.0;
660 G4double xpimp = 0.0; 660 G4double xpimp = 0.0;
661 661
662 if(cg!=2) { 662 if(cg!=2) {
663 // x-section pi+ p inelastique : 663 // x-section pi+ p inelastique :
664 xpipp=piPluspIne(pion,nucleon); 664 xpipp=piPluspIne(pion,nucleon);
665 665
666 if(cg==6) // cas pi+ p et pi- n 666 if(cg==6) // cas pi+ p et pi- n
667 return xpipp; 667 return xpipp;
668 } 668 }
669 669
670 // x-section pi- p inelastique : 670 // x-section pi- p inelastique :
671 xpimp=piMinuspIne(pion,nucleon); 671 xpimp=piMinuspIne(pion,nucleon);
672 672
673 if(cg==2) // cas pi- p et pi+ n 673 if(cg==2) // cas pi- p et pi+ n
674 return xpimp; 674 return xpimp;
675 else // cas pi0 p et pi0 n 675 else // cas pi0 p et pi0 n
676 return 0.5*(xpipp+xpimp); 676 return 0.5*(xpipp+xpimp);
677 } 677 }
678 678
679 G4double CrossSectionsMultiPions::piNToDelta 679 G4double CrossSectionsMultiPions::piNToDelta(Particle const * const particle1, Particle const * const particle2) {
680 // piN Delta production 680 // piN Delta production
681 681
682 G4double x = KinematicsUtils::totalEnergyI 682 G4double x = KinematicsUtils::totalEnergyInCM(particle1, particle2);
683 if(x>20000.) return 0.0; // no cross secti 683 if(x>20000.) return 0.0; // no cross section above this value
684 684
685 G4int ipit3 = 0; 685 G4int ipit3 = 0;
686 G4int ind2t3 = 0; 686 G4int ind2t3 = 0;
687 const G4double ramass = 0.0; 687 const G4double ramass = 0.0;
688 688
689 if(particle1->isPion()) { 689 if(particle1->isPion()) {
690 ipit3 = ParticleTable::getIsospin(partic 690 ipit3 = ParticleTable::getIsospin(particle1->getType());
691 ind2t3 = ParticleTable::getIsospin(parti 691 ind2t3 = ParticleTable::getIsospin(particle2->getType());
692 } else if(particle2->isPion()) { 692 } else if(particle2->isPion()) {
693 ipit3 = ParticleTable::getIsospin(partic 693 ipit3 = ParticleTable::getIsospin(particle2->getType());
694 ind2t3 = ParticleTable::getIsospin(parti 694 ind2t3 = ParticleTable::getIsospin(particle1->getType());
695 } 695 }
696 696
697 const G4double y=x*x; 697 const G4double y=x*x;
698 const G4double q2=(y-1076.0*1076.0)*(y-800 698 const G4double q2=(y-1076.0*1076.0)*(y-800.0*800.0)/y/4.0;
699 if (q2 <= 0.) { 699 if (q2 <= 0.) {
700 return 0.0; 700 return 0.0;
701 } 701 }
702 const G4double q3 = std::pow(std::sqrt(q2) 702 const G4double q3 = std::pow(std::sqrt(q2),3);
703 const G4double f3 = q3/(q3 + 5832000.); // 703 const G4double f3 = q3/(q3 + 5832000.); // 5832000 = 180^3
704 G4double sdelResult = 326.5/(std::pow((x-1 704 G4double sdelResult = 326.5/(std::pow((x-1215.0-ramass)*2.0/(110.0-ramass), 2)+1.0);
705 sdelResult = sdelResult*(1.0-5.0*ramass/12 705 sdelResult = sdelResult*(1.0-5.0*ramass/1215.0);
706 const G4int cg = 4 + ind2t3*ipit3; 706 const G4int cg = 4 + ind2t3*ipit3;
707 sdelResult = sdelResult*f3*cg/6.0; 707 sdelResult = sdelResult*f3*cg/6.0;
708 708
709 return sdelResult; 709 return sdelResult;
710 } 710 }
711 711
712 G4double CrossSectionsMultiPions::piNTot(Par 712 G4double CrossSectionsMultiPions::piNTot(Particle const * const particle1, Particle const * const particle2) {
713 // FUNCTION SPN(X,IND2T3,IPIT3,f17) 713 // FUNCTION SPN(X,IND2T3,IPIT3,f17)
714 // SIGMA(PI+ + P) IN THE (3,3) REGION 714 // SIGMA(PI+ + P) IN THE (3,3) REGION
715 // NEW FIT BY J.VANDERMEULEN + FIT BY Th 715 // NEW FIT BY J.VANDERMEULEN + FIT BY Th AOUST ABOVE (3,3) RES
716 // CONST AT L 716 // CONST AT LOW AND VERY HIGH ENERGY
717 // COMMON/BL8/RATHR,RAMASS 717 // COMMON/BL8/RATHR,RAMASS REL21800
718 // integer f17 718 // integer f17
719 // RATHR and RAMASS are always 0.0!!! 719 // RATHR and RAMASS are always 0.0!!!
720 720
721 G4double x = KinematicsUtils::totalEnergyI 721 G4double x = KinematicsUtils::totalEnergyInCM(particle1, particle2);
722 722
723 G4int ipit3 = 0; 723 G4int ipit3 = 0;
724 G4int ind2t3 = 0; 724 G4int ind2t3 = 0;
725 725
726 if(particle1->isPion()) { 726 if(particle1->isPion()) {
727 ipit3 = ParticleTable::getIsospin(partic 727 ipit3 = ParticleTable::getIsospin(particle1->getType());
728 ind2t3 = ParticleTable::getIsospin(parti 728 ind2t3 = ParticleTable::getIsospin(particle2->getType());
729 } else if(particle2->isPion()) { 729 } else if(particle2->isPion()) {
730 ipit3 = ParticleTable::getIsospin(partic 730 ipit3 = ParticleTable::getIsospin(particle2->getType());
731 ind2t3 = ParticleTable::getIsospin(parti 731 ind2t3 = ParticleTable::getIsospin(particle1->getType());
732 } 732 }
733 733
734 G4double spnResult=0.0; 734 G4double spnResult=0.0;
735 735
736 // HE pi+ p and pi- n 736 // HE pi+ p and pi- n
737 if((ind2t3 == 1 && ipit3 == 2) || (ind2t 737 if((ind2t3 == 1 && ipit3 == 2) || (ind2t3 == -1 && ipit3 == -2))
738 spnResult=spnPiPlusPHE(x); 738 spnResult=spnPiPlusPHE(x);
739 else if((ind2t3 == 1 && ipit3 == -2) || 739 else if((ind2t3 == 1 && ipit3 == -2) || (ind2t3 == -1 && ipit3 == 2))
740 spnResult=spnPiMinusPHE(x); 740 spnResult=spnPiMinusPHE(x);
741 else if(ipit3 == 0) spnResult = (spnPiPl 741 else if(ipit3 == 0) spnResult = (spnPiPlusPHE(x) + spnPiMinusPHE(x))/2.0; // (spnpipphe(x)+spnpimphe(x))/2.0
742 else { 742 else {
743 INCL_ERROR("Unknown configuration!\n" 743 INCL_ERROR("Unknown configuration!\n" << particle1->print() << particle2->print() << '\n');
744 } 744 }
745 745
746 return spnResult; 746 return spnResult;
747 } 747 }
748 748
749 G4double CrossSectionsMultiPions::NDeltaToNN 749 G4double CrossSectionsMultiPions::NDeltaToNN(Particle const * const p1, Particle const * const p2) {
750 const G4int isospin = ParticleTable::getIs 750 const G4int isospin = ParticleTable::getIsospin(p1->getType()) + ParticleTable::getIsospin(p2->getType());
751 if(isospin==4 || isospin==-4) return 0.0; 751 if(isospin==4 || isospin==-4) return 0.0;
752 752
753 G4double s = KinematicsUtils::squareTotalE 753 G4double s = KinematicsUtils::squareTotalEnergyInCM(p1, p2);
754 G4double Ecm = std::sqrt(s); 754 G4double Ecm = std::sqrt(s);
755 G4int deltaIsospin; 755 G4int deltaIsospin;
756 G4double deltaMass; 756 G4double deltaMass;
757 if(p1->isDelta()) { 757 if(p1->isDelta()) {
758 deltaIsospin = ParticleTable::getIsospin 758 deltaIsospin = ParticleTable::getIsospin(p1->getType());
759 deltaMass = p1->getMass(); 759 deltaMass = p1->getMass();
760 } else { 760 } else {
761 deltaIsospin = ParticleTable::getIsospin 761 deltaIsospin = ParticleTable::getIsospin(p2->getType());
762 deltaMass = p2->getMass(); 762 deltaMass = p2->getMass();
763 } 763 }
764 764
765 if(Ecm <= 938.3 + deltaMass) { 765 if(Ecm <= 938.3 + deltaMass) {
766 return 0.0; 766 return 0.0;
767 } 767 }
768 768
769 if(Ecm < 938.3 + deltaMass + 2.0) { 769 if(Ecm < 938.3 + deltaMass + 2.0) {
770 Ecm = 938.3 + deltaMass + 2.0; 770 Ecm = 938.3 + deltaMass + 2.0;
771 s = Ecm*Ecm; 771 s = Ecm*Ecm;
772 } 772 }
773 773
774 const G4double x = (s - 4.*ParticleTable:: 774 const G4double x = (s - 4.*ParticleTable::effectiveNucleonMass2) /
775 (s - std::pow(ParticleTable::effectiveNu 775 (s - std::pow(ParticleTable::effectiveNucleonMass + deltaMass, 2));
776 const G4double y = s/(s - std::pow(deltaMa 776 const G4double y = s/(s - std::pow(deltaMass - ParticleTable::effectiveNucleonMass, 2));
777 /* Concerning the way we calculate the lab 777 /* Concerning the way we calculate the lab momentum, see the considerations
778 * in CrossSections::elasticNNLegacy(). 778 * in CrossSections::elasticNNLegacy().
779 */ 779 */
780 G4double sDelta; 780 G4double sDelta;
781 const G4double xsiso2=NNInelasticIso(Ecm, 781 const G4double xsiso2=NNInelasticIso(Ecm, 2);
782 if (isospin != 0) 782 if (isospin != 0)
783 sDelta = NNOnePiOrDelta(Ecm, isospin, xs 783 sDelta = NNOnePiOrDelta(Ecm, isospin, xsiso2);
784 else { 784 else {
785 const G4double xsiso0=NNInelasticIso(Ecm 785 const G4double xsiso0=NNInelasticIso(Ecm, 0);
786 sDelta = 0.25*(NNOnePiOrDelta(Ecm, 0, xs 786 sDelta = 0.25*(NNOnePiOrDelta(Ecm, 0, xsiso0)+ NNOnePiOrDelta(Ecm, 2, xsiso2));
787 } 787 }
788 G4double result = 0.5 * x * y * sDelta; 788 G4double result = 0.5 * x * y * sDelta;
789 /* modification for pion-induced cascade ( 789 /* modification for pion-induced cascade (see JC and MC LEMAIRE,NPA489(88)781
790 * result=3.*result 790 * result=3.*result
791 * pi absorption increased also for intern 791 * pi absorption increased also for internal pions (7/3/01)
792 */ 792 */
793 result *= 3.*(32.0 + isospin * isospin * ( 793 result *= 3.*(32.0 + isospin * isospin * (deltaIsospin * deltaIsospin - 5))/64.0;
794 result /= 1.0 + 0.25 * (isospin * isospin) 794 result /= 1.0 + 0.25 * (isospin * isospin);
795 return result; 795 return result;
796 } 796 }
797 797
798 G4double CrossSectionsMultiPions::NNToNDelta 798 G4double CrossSectionsMultiPions::NNToNDelta(Particle const * const p1, Particle const * const p2) {
799 // assert(p1->isNucleon() && p2->isNucleon()); 799 // assert(p1->isNucleon() && p2->isNucleon());
800 const G4int isospin = ParticleTable::getIs 800 const G4int isospin = ParticleTable::getIsospin(p1->getType()) + ParticleTable::getIsospin(p2->getType());
801 G4double sigma = NNOnePiOrDelta(p1, p2); 801 G4double sigma = NNOnePiOrDelta(p1, p2);
802 if(isospin==0) 802 if(isospin==0)
803 sigma *= 0.5; 803 sigma *= 0.5;
804 return sigma; 804 return sigma;
805 } 805 }
806 806
807 G4double CrossSectionsMultiPions::elastic(Pa 807 G4double CrossSectionsMultiPions::elastic(Particle const * const p1, Particle const * const p2) {
808 // if(!p1->isPion() && !p2->isPion()){ 808 // if(!p1->isPion() && !p2->isPion()){
809 if((p1->isNucleon()||p1->isDelta()) && (p2 809 if((p1->isNucleon()||p1->isDelta()) && (p2->isNucleon()||p2->isDelta())){
810 return NNElastic(p1, p2); 810 return NNElastic(p1, p2);
811 } 811 }
812 // else if (p1->isNucleon() || p2->isNucleo 812 // else if (p1->isNucleon() || p2->isNucleon()){
813 else if ((p1->isNucleon() && p2->isPion()) | 813 else if ((p1->isNucleon() && p2->isPion()) || (p2->isNucleon() && p1->isPion())){
814 G4double pielas = piNTot(p1,p2) - piNIne 814 G4double pielas = piNTot(p1,p2) - piNIne(p1,p2) - piNToDelta(p1,p2);
815 if (pielas < 0.){ 815 if (pielas < 0.){
816 pielas = 0.; 816 pielas = 0.;
817 } 817 }
818 // return piNTot(p1,p2) - piNIne(p1,p2) 818 // return piNTot(p1,p2) - piNIne(p1,p2) - piNToDelta(p1,p2);
819 return pielas; 819 return pielas;
820 } 820 }
821 else { 821 else {
822 return 0.0; 822 return 0.0;
823 } 823 }
824 } 824 }
825 825
826 G4double CrossSectionsMultiPions::calculateN 826 G4double CrossSectionsMultiPions::calculateNNAngularSlope(G4double pl, G4int iso) {
827 G4double x = 0.001 * pl; // Change to GeV 827 G4double x = 0.001 * pl; // Change to GeV
828 if(iso != 0) { 828 if(iso != 0) {
829 if(pl <= 2000.0) { 829 if(pl <= 2000.0) {
830 x = std::pow(x, 8); 830 x = std::pow(x, 8);
831 return 5.5e-6 * x/(7.7 + x); 831 return 5.5e-6 * x/(7.7 + x);
832 } else { 832 } else {
833 return (5.34 + 0.67*(x - 2.0)) * 1.0e- 833 return (5.34 + 0.67*(x - 2.0)) * 1.0e-6;
834 } 834 }
835 } else { 835 } else {
836 if(pl < 800.0) { 836 if(pl < 800.0) {
837 G4double b = (7.16 - 1.63*x) * 1.0e-6; 837 G4double b = (7.16 - 1.63*x) * 1.0e-6;
838 return b/(1.0 + std::exp(-(x - 0.45)/0 838 return b/(1.0 + std::exp(-(x - 0.45)/0.05));
839 } else if(pl < 1100.0) { 839 } else if(pl < 1100.0) {
840 return (9.87 - 4.88 * x) * 1.0e-6; 840 return (9.87 - 4.88 * x) * 1.0e-6;
841 } else { 841 } else {
842 return (3.68 + 0.76*x) * 1.0e-6; 842 return (3.68 + 0.76*x) * 1.0e-6;
843 } 843 }
844 } 844 }
845 return 0.0; // Should never reach this poi 845 return 0.0; // Should never reach this point
846 } 846 }
847 847
848 848
849 G4double CrossSectionsMultiPions::piNToxPi 849 G4double CrossSectionsMultiPions::piNToxPiN(const G4int xpi, Particle const * const particle1, Particle const * const particle2) {
850 // 850 //
851 // pion-Nucleon producing xpi pion 851 // pion-Nucleon producing xpi pions cross sections
852 // 852 //
853 const Particle *pion; 853 const Particle *pion;
854 const Particle *nucleon; 854 const Particle *nucleon;
855 if(particle1->isNucleon()) { 855 if(particle1->isNucleon()) {
856 nucleon = particle1; 856 nucleon = particle1;
857 pion = particle2; 857 pion = particle2;
858 } else { 858 } else {
859 pion = particle1; 859 pion = particle1;
860 nucleon = particle2; 860 nucleon = particle2;
861 } 861 }
862 // assert(xpi>1 && xpi<=nMaxPiPiN); 862 // assert(xpi>1 && xpi<=nMaxPiPiN);
863 // assert((particle1->isNucleon() && particle2 863 // assert((particle1->isNucleon() && particle2->isPion()) || (particle1->isPion() && particle2->isNucleon()));
864 const G4double plab = KinematicsUtils: 864 const G4double plab = KinematicsUtils::momentumInLab(pion,nucleon);
865 if (xpi == 2) { 865 if (xpi == 2) {
866 G4double OnePi=piNOnePi(particle1,partic 866 G4double OnePi=piNOnePi(particle1,particle2);
867 if (OnePi < 1.e-09) OnePi = 0.; 867 if (OnePi < 1.e-09) OnePi = 0.;
868 return OnePi; 868 return OnePi;
869 } 869 }
870 else if (xpi == 3){ 870 else if (xpi == 3){
871 G4double TwoPi=piNTwoPi(particle1,partic 871 G4double TwoPi=piNTwoPi(particle1,particle2);
872 if (TwoPi < 1.e-09) TwoPi = 0.; 872 if (TwoPi < 1.e-09) TwoPi = 0.;
873 return TwoPi; 873 return TwoPi;
874 } 874 }
875 else if (xpi == 4) { 875 else if (xpi == 4) {
876 G4double piNThreePi = piNIne(parti 876 G4double piNThreePi = piNIne(particle1,particle2) - piNOnePi(particle1,particle2) - piNTwoPi(particle1,particle2);
877 if (piNThreePi < 1.e-09 || plab < 877 if (piNThreePi < 1.e-09 || plab < 2000.) piNThreePi = 0.;
878 return piNThreePi; 878 return piNThreePi;
879 } else // should never reach this poin 879 } else // should never reach this point
880 return 0.0; 880 return 0.0;
881 } 881 }
882 882
883 G4double CrossSectionsMultiPions::piNOnePi(P 883 G4double CrossSectionsMultiPions::piNOnePi(Particle const * const particle1, Particle const * const particle2) {
884 const Particle *pion; 884 const Particle *pion;
885 const Particle *nucleon; 885 const Particle *nucleon;
886 if(particle1->isNucleon()) { 886 if(particle1->isNucleon()) {
887 nucleon = particle1; 887 nucleon = particle1;
888 pion = particle2; 888 pion = particle2;
889 } else { 889 } else {
890 pion = particle1; 890 pion = particle1;
891 nucleon = particle2; 891 nucleon = particle2;
892 } 892 }
893 // assert(pion->isPion()); 893 // assert(pion->isPion());
894 894
895 const G4double pLab = KinematicsUtils::mom 895 const G4double pLab = KinematicsUtils::momentumInLab(pion, nucleon);
896 896
897 // this limit corresponds to sqrt(s)=1230 897 // this limit corresponds to sqrt(s)=1230 MeV
898 if(pLab<296.367) 898 if(pLab<296.367)
899 return 0.0; 899 return 0.0;
900 900
901 const G4int ipi = ParticleTable::getIsospi 901 const G4int ipi = ParticleTable::getIsospin(pion->getType());
902 const G4int ind2 = ParticleTable::getIsosp 902 const G4int ind2 = ParticleTable::getIsospin(nucleon->getType());
903 const G4int cg = 4 + ind2*ipi; 903 const G4int cg = 4 + ind2*ipi;
904 // assert(cg==2 || cg==4 || cg==6); 904 // assert(cg==2 || cg==4 || cg==6);
905 905
906 // const G4double p1=1e-3*pLab; 906 // const G4double p1=1e-3*pLab;
907 G4double tamp6=0.; 907 G4double tamp6=0.;
908 G4double tamp2=0.; 908 G4double tamp2=0.;
909 const G4double elas = elastic(particle1, p 909 const G4double elas = elastic(particle1, particle2);
910 910
911 // X-SECTION PI+ P INELASTIQUE : 911 // X-SECTION PI+ P INELASTIQUE :
912 if(cg != 2) { 912 if(cg != 2) {
913 tamp6=piPluspOnePi(particle1,particle2); 913 tamp6=piPluspOnePi(particle1,particle2);
914 if (cg == 6){ // CAS PI+ P ET PI- N 914 if (cg == 6){ // CAS PI+ P ET PI- N
915 if(tamp6 >= elas && pLab < 410.) tamp6 915 if(tamp6 >= elas && pLab < 410.) tamp6 = elas;
916 return tamp6; 916 return tamp6;
917 } 917 }
918 } 918 }
919 919
920 // X-SECTION PI- P INELASTIQUE : 920 // X-SECTION PI- P INELASTIQUE :
921 tamp2=piMinuspOnePi(particle1,particle2); 921 tamp2=piMinuspOnePi(particle1,particle2);
922 if (tamp2 < 0.0) tamp2=0; 922 if (tamp2 < 0.0) tamp2=0;
923 923
924 if (cg == 2) // CAS PI- P ET PI+ N 924 if (cg == 2) // CAS PI- P ET PI+ N
925 return tamp2; 925 return tamp2;
926 else { // CAS PI0 P ET PI0 N 926 else { // CAS PI0 P ET PI0 N
927 G4double s1pin = 0.5*(tamp6+tamp2); 927 G4double s1pin = 0.5*(tamp6+tamp2);
928 const G4double inelastic = piNIne(partic 928 const G4double inelastic = piNIne(particle1, particle2);
929 if(s1pin >= elas && pLab < 410.) s1pin = 929 if(s1pin >= elas && pLab < 410.) s1pin = 0.;
930 if (s1pin > inelastic) 930 if (s1pin > inelastic)
931 s1pin = inelastic; 931 s1pin = inelastic;
932 return s1pin; 932 return s1pin;
933 } 933 }
934 } 934 }
935 935
936 G4double CrossSectionsMultiPions::piNTwoPi(P 936 G4double CrossSectionsMultiPions::piNTwoPi(Particle const * const particle1, Particle const * const particle2) {
937 // 937 //
938 // pion-nucleon interaction, producing 938 // pion-nucleon interaction, producing 2 pions
939 // fit from Landolt-Bornstein multipli 939 // fit from Landolt-Bornstein multiplied by factor determined with evaluation of total xs
940 // 940 //
941 941
942 const Particle *pion; 942 const Particle *pion;
943 const Particle *nucleon; 943 const Particle *nucleon;
944 if(particle1->isNucleon()) { 944 if(particle1->isNucleon()) {
945 nucleon = particle1; 945 nucleon = particle1;
946 pion = particle2; 946 pion = particle2;
947 } else { 947 } else {
948 pion = particle1; 948 pion = particle1;
949 nucleon = particle2; 949 nucleon = particle2;
950 } 950 }
951 // assert(pion->isPion()); 951 // assert(pion->isPion());
952 952
953 const G4double pLab = KinematicsUtils::mom 953 const G4double pLab = KinematicsUtils::momentumInLab(pion, nucleon);
954 const G4double elas = elastic(pion, nucleo 954 const G4double elas = elastic(pion, nucleon);
955 955
956 // this limit corresponds to sqrt(s)=1230 956 // this limit corresponds to sqrt(s)=1230 MeV
957 if(pLab<296.367) 957 if(pLab<296.367)
958 return 0.0; 958 return 0.0;
959 959
960 const G4int ipi = ParticleTable::getIsospi 960 const G4int ipi = ParticleTable::getIsospin(pion->getType());
961 const G4int ind2 = ParticleTable::getIsosp 961 const G4int ind2 = ParticleTable::getIsospin(nucleon->getType());
962 const G4int cg = 4 + ind2*ipi; 962 const G4int cg = 4 + ind2*ipi;
963 // assert(cg==2 || cg==4 || cg==6); 963 // assert(cg==2 || cg==4 || cg==6);
964 964
965 G4double tamp6=0.; 965 G4double tamp6=0.;
966 G4double tamp2=0.; 966 G4double tamp2=0.;
967 967
968 // X-SECTION PI+ P INELASTIQUE : 968 // X-SECTION PI+ P INELASTIQUE :
969 if(cg!=2) { 969 if(cg!=2) {
970 tamp6=piPluspTwoPi(particle1,particle2); 970 tamp6=piPluspTwoPi(particle1,particle2);
971 if(cg==6){ // CAS PI+ P ET PI- N 971 if(cg==6){ // CAS PI+ P ET PI- N
972 if(tamp6 >= elas && pLab < 410.) tamp6 972 if(tamp6 >= elas && pLab < 410.) tamp6 = 0.;
973 return tamp6;} 973 return tamp6;}
974 } 974 }
975 975
976 // X-SECTION PI- P INELASTIQUE : 976 // X-SECTION PI- P INELASTIQUE :
977 tamp2=piMinuspTwoPi(particle1,particle2); 977 tamp2=piMinuspTwoPi(particle1,particle2);
978 978
979 if(cg==2) // CAS PI- P ET PI+ N 979 if(cg==2) // CAS PI- P ET PI+ N
980 return tamp2; 980 return tamp2;
981 else { // CAS PI0 P ET PI0 N 981 else { // CAS PI0 P ET PI0 N
982 const G4double s2pin=0.5*(tamp6+tamp2); 982 const G4double s2pin=0.5*(tamp6+tamp2);
983 return s2pin; 983 return s2pin;
984 } 984 }
985 } 985 }
986 986
987 G4double CrossSectionsMultiPions::piPluspIne 987 G4double CrossSectionsMultiPions::piPluspIne(Particle const * const particle1, Particle const * const particle2) {
988 // piPlusP inelastic cross section (D 988 // piPlusP inelastic cross section (Delta excluded)
989 989
990 const Particle *pion; 990 const Particle *pion;
991 const Particle *nucleon; 991 const Particle *nucleon;
992 if(particle1->isNucleon()) { 992 if(particle1->isNucleon()) {
993 nucleon = particle1; 993 nucleon = particle1;
994 pion = particle2; 994 pion = particle2;
995 } else { 995 } else {
996 pion = particle1; 996 pion = particle1;
997 nucleon = particle2; 997 nucleon = particle2;
998 } 998 }
999 // assert(pion->isPion()); 999 // assert(pion->isPion());
1000 1000
1001 const G4double pLab = KinematicsUtils::mo 1001 const G4double pLab = KinematicsUtils::momentumInLab(pion, nucleon);
1002 1002
1003 // these limits correspond to sqrt(s)=123 1003 // these limits correspond to sqrt(s)=1230 and 20000 MeV
1004 if(pLab>212677. || pLab<296.367) 1004 if(pLab>212677. || pLab<296.367)
1005 return 0.0; 1005 return 0.0;
1006 1006
1007 // const G4int ipit3 = ParticleTable::getI 1007 // const G4int ipit3 = ParticleTable::getIsospin(pion->getType());
1008 // const G4int ind2t3 = ParticleTable::get 1008 // const G4int ind2t3 = ParticleTable::getIsospin(nucleon->getType());
1009 // const G4int cg = 4 + ind2t3*ipit3; 1009 // const G4int cg = 4 + ind2t3*ipit3;
1010 // assert(cg==2 || cg==4 || cg==6); 1010 // assert(cg==2 || cg==4 || cg==6);
1011 1011
1012 const G4double p1=1e-3*pLab; 1012 const G4double p1=1e-3*pLab;
1013 const G4double p2=std::log(p1); 1013 const G4double p2=std::log(p1);
1014 G4double xpipp = 0.0; 1014 G4double xpipp = 0.0;
1015 1015
1016 // x-section pi+ p inelastique : 1016 // x-section pi+ p inelastique :
1017 if(p1<=0.75) 1017 if(p1<=0.75)
1018 xpipp=17.965*std::pow(p1, 5.4606); 1018 xpipp=17.965*std::pow(p1, 5.4606);
1019 else 1019 else
1020 xpipp=24.3-12.3*std::pow(p1, -1.91)+0.3 1020 xpipp=24.3-12.3*std::pow(p1, -1.91)+0.324*p2*p2-2.44*p2;
1021 // cas pi+ p et pi- n 1021 // cas pi+ p et pi- n
1022 return xpipp; 1022 return xpipp;
1023 1023
1024 } 1024 }
1025 1025
1026 G4double CrossSectionsMultiPions::piMinuspI 1026 G4double CrossSectionsMultiPions::piMinuspIne(Particle const * const particle1, Particle const * const particle2) {
1027 // piMinusp inelastic cross section 1027 // piMinusp inelastic cross section (Delta excluded)
1028 1028
1029 const Particle *pion; 1029 const Particle *pion;
1030 const Particle *nucleon; 1030 const Particle *nucleon;
1031 if(particle1->isNucleon()) { 1031 if(particle1->isNucleon()) {
1032 nucleon = particle1; 1032 nucleon = particle1;
1033 pion = particle2; 1033 pion = particle2;
1034 } else { 1034 } else {
1035 pion = particle1; 1035 pion = particle1;
1036 nucleon = particle2; 1036 nucleon = particle2;
1037 } 1037 }
1038 // assert(pion->isPion()); 1038 // assert(pion->isPion());
1039 1039
1040 const G4double pLab = KinematicsUtils::mo 1040 const G4double pLab = KinematicsUtils::momentumInLab(pion, nucleon);
1041 1041
1042 // these limits correspond to sqrt(s)=123 1042 // these limits correspond to sqrt(s)=1230 and 20000 MeV
1043 if(pLab>212677. || pLab<296.367) 1043 if(pLab>212677. || pLab<296.367)
1044 return 0.0; 1044 return 0.0;
1045 1045
1046 // const G4int ipit3 = ParticleTable::getI 1046 // const G4int ipit3 = ParticleTable::getIsospin(pion->getType());
1047 // const G4int ind2t3 = ParticleTable::get 1047 // const G4int ind2t3 = ParticleTable::getIsospin(nucleon->getType());
1048 // const G4int cg = 4 + ind2t3*ipit3; 1048 // const G4int cg = 4 + ind2t3*ipit3;
1049 // assert(cg==2 || cg==4 || cg==6); 1049 // assert(cg==2 || cg==4 || cg==6);
1050 1050
1051 const G4double p1=1e-3*pLab; 1051 const G4double p1=1e-3*pLab;
1052 const G4double p2=std::log(p1); 1052 const G4double p2=std::log(p1);
1053 G4double xpimp = 0.0; 1053 G4double xpimp = 0.0;
1054 1054
1055 // x-section pi- p inelastique : 1055 // x-section pi- p inelastique :
1056 if(p1 <= 0.4731) 1056 if(p1 <= 0.4731)
1057 xpimp=0; 1057 xpimp=0;
1058 else 1058 else
1059 xpimp=26.6-7.18*std::pow(p1, -1.86)+0.3 1059 xpimp=26.6-7.18*std::pow(p1, -1.86)+0.327*p2*p2-2.81*p2;
1060 if(xpimp<0.) 1060 if(xpimp<0.)
1061 xpimp=0; 1061 xpimp=0;
1062 1062
1063 // cas pi- p et pi+ n 1063 // cas pi- p et pi+ n
1064 return xpimp; 1064 return xpimp;
1065 1065
1066 } 1066 }
1067 1067
1068 G4double CrossSectionsMultiPions::piPluspOn 1068 G4double CrossSectionsMultiPions::piPluspOnePi(Particle const * const particle1, Particle const * const particle2) {
1069 const Particle *pion; 1069 const Particle *pion;
1070 const Particle *nucleon; 1070 const Particle *nucleon;
1071 if(particle1->isNucleon()) { 1071 if(particle1->isNucleon()) {
1072 nucleon = particle1; 1072 nucleon = particle1;
1073 pion = particle2; 1073 pion = particle2;
1074 } else { 1074 } else {
1075 pion = particle1; 1075 pion = particle1;
1076 nucleon = particle2; 1076 nucleon = particle2;
1077 } 1077 }
1078 // assert(pion->isPion()); 1078 // assert(pion->isPion());
1079 1079
1080 const G4double pLab = KinematicsUtils::mo 1080 const G4double pLab = KinematicsUtils::momentumInLab(pion, nucleon);
1081 1081
1082 // this limit corresponds to sqrt(s)=1230 1082 // this limit corresponds to sqrt(s)=1230 MeV
1083 if(pLab<296.367) 1083 if(pLab<296.367)
1084 return 0.0; 1084 return 0.0;
1085 1085
1086 // const G4int ipi = ParticleTable::getI 1086 // const G4int ipi = ParticleTable::getIsospin(pion->getType());
1087 // const G4int ind2 = ParticleTable::get 1087 // const G4int ind2 = ParticleTable::getIsospin(nucleon->getType());
1088 // const G4int cg = 4 + ind2*ipi; 1088 // const G4int cg = 4 + ind2*ipi;
1089 // assert(cg==2 || cg==4 || cg==6); 1089 // assert(cg==2 || cg==4 || cg==6);
1090 1090
1091 const G4double p1=1e-3*pLab; 1091 const G4double p1=1e-3*pLab;
1092 G4double tamp6=0.; 1092 G4double tamp6=0.;
1093 1093
1094 // X-SECTION PI+ P INELASTIQUE : 1094 // X-SECTION PI+ P INELASTIQUE :
1095 if(pLab < 1532.52) // corresponds to sqrt 1095 if(pLab < 1532.52) // corresponds to sqrt(s)=1946 MeV
1096 tamp6=piPluspIne(particle1, particle2); 1096 tamp6=piPluspIne(particle1, particle2);
1097 else 1097 else
1098 tamp6=0.204+18.2*std::pow(p1, -1.72)+6. 1098 tamp6=0.204+18.2*std::pow(p1, -1.72)+6.33*std::pow(p1, -1.13);
1099 1099
1100 // CAS PI+ P ET PI- N 1100 // CAS PI+ P ET PI- N
1101 return tamp6; 1101 return tamp6;
1102 1102
1103 } 1103 }
1104 1104
1105 G4double CrossSectionsMultiPions::piMinuspO 1105 G4double CrossSectionsMultiPions::piMinuspOnePi(Particle const * const particle1, Particle const * const particle2) {
1106 const Particle *pion; 1106 const Particle *pion;
1107 const Particle *nucleon; 1107 const Particle *nucleon;
1108 if(particle1->isNucleon()) { 1108 if(particle1->isNucleon()) {
1109 nucleon = particle1; 1109 nucleon = particle1;
1110 pion = particle2; 1110 pion = particle2;
1111 } else { 1111 } else {
1112 pion = particle1; 1112 pion = particle1;
1113 nucleon = particle2; 1113 nucleon = particle2;
1114 } 1114 }
1115 // assert(pion->isPion()); 1115 // assert(pion->isPion());
1116 1116
1117 const G4double pLab = KinematicsUtils::mo 1117 const G4double pLab = KinematicsUtils::momentumInLab(pion, nucleon);
1118 1118
1119 // this limit corresponds to sqrt(s)=1230 1119 // this limit corresponds to sqrt(s)=1230 MeV
1120 if(pLab<296.367) 1120 if(pLab<296.367)
1121 return 0.0; 1121 return 0.0;
1122 1122
1123 // const G4int ipi = ParticleTable::getI 1123 // const G4int ipi = ParticleTable::getIsospin(pion->getType());
1124 // const G4int ind2 = ParticleTable::get 1124 // const G4int ind2 = ParticleTable::getIsospin(nucleon->getType());
1125 // const G4int cg = 4 + ind2*ipi; 1125 // const G4int cg = 4 + ind2*ipi;
1126 // assert(cg==2 || cg==4 || cg==6); 1126 // assert(cg==2 || cg==4 || cg==6);
1127 1127
1128 const G4double p1=1e-3*pLab; 1128 const G4double p1=1e-3*pLab;
1129 G4double tamp2=0.; 1129 G4double tamp2=0.;
1130 1130
1131 // X-SECTION PI- P INELASTIQUE : 1131 // X-SECTION PI- P INELASTIQUE :
1132 if (pLab < 1228.06) // corresponds to sqr 1132 if (pLab < 1228.06) // corresponds to sqrt(s)=1794 MeV
1133 tamp2=piMinuspIne(particle1, particle2) 1133 tamp2=piMinuspIne(particle1, particle2);
1134 else 1134 else
1135 tamp2=9.04*std::pow(p1, -1.17)+18.*std: 1135 tamp2=9.04*std::pow(p1, -1.17)+18.*std::pow(p1, -1.21); // tamp2=9.04*std::pow(p1, -1.17)+(13.5*std::pow(p1, -1.21))*4./3.;
1136 if (tamp2 < 0.0) tamp2=0; 1136 if (tamp2 < 0.0) tamp2=0;
1137 1137
1138 // CAS PI- P ET PI+ N 1138 // CAS PI- P ET PI+ N
1139 return tamp2; 1139 return tamp2;
1140 } 1140 }
1141 1141
1142 G4double CrossSectionsMultiPions::piPluspTw 1142 G4double CrossSectionsMultiPions::piPluspTwoPi(Particle const * const particle1, Particle const * const particle2) {
1143 // 1143 //
1144 // pion-nucleon interaction, producin 1144 // pion-nucleon interaction, producing 2 pions
1145 // fit from Landolt-Bornstein multipl 1145 // fit from Landolt-Bornstein multiplied by factor determined with evaluation of total xs
1146 // 1146 //
1147 1147
1148 const Particle *pion; 1148 const Particle *pion;
1149 const Particle *nucleon; 1149 const Particle *nucleon;
1150 if(particle1->isNucleon()) { 1150 if(particle1->isNucleon()) {
1151 nucleon = particle1; 1151 nucleon = particle1;
1152 pion = particle2; 1152 pion = particle2;
1153 } else { 1153 } else {
1154 pion = particle1; 1154 pion = particle1;
1155 nucleon = particle2; 1155 nucleon = particle2;
1156 } 1156 }
1157 // assert(pion->isPion()); 1157 // assert(pion->isPion());
1158 1158
1159 const G4double pLab = KinematicsUtils::mo 1159 const G4double pLab = KinematicsUtils::momentumInLab(pion, nucleon);
1160 1160
1161 // this limit corresponds to sqrt(s)=1230 1161 // this limit corresponds to sqrt(s)=1230 MeV
1162 if(pLab<296.367) 1162 if(pLab<296.367)
1163 return 0.0; 1163 return 0.0;
1164 1164
1165 // const G4int ipi = ParticleTable::getI 1165 // const G4int ipi = ParticleTable::getIsospin(pion->getType());
1166 // const G4int ind2 = ParticleTable::get 1166 // const G4int ind2 = ParticleTable::getIsospin(nucleon->getType());
1167 // const G4int cg = 4 + ind2*ipi; 1167 // const G4int cg = 4 + ind2*ipi;
1168 // assert(cg==2 || cg==4 || cg==6); 1168 // assert(cg==2 || cg==4 || cg==6);
1169 1169
1170 const G4double p1=1e-3*pLab; 1170 const G4double p1=1e-3*pLab;
1171 G4double tamp6=0.; 1171 G4double tamp6=0.;
1172 1172
1173 // X-SECTION PI+ P INELASTIQUE : 1173 // X-SECTION PI+ P INELASTIQUE :
1174 if(pLab < 2444.7) // corresponds to sqrt( 1174 if(pLab < 2444.7) // corresponds to sqrt(s)=2344 MeV
1175 tamp6=piPluspIne(particle1, particle2)- 1175 tamp6=piPluspIne(particle1, particle2)-piPluspOnePi(particle1, particle2);
1176 else 1176 else
1177 tamp6=1.59+25.5*std::pow(p1, -1.04); // 1177 tamp6=1.59+25.5*std::pow(p1, -1.04); // tamp6=(0.636+10.2*std::pow(p1, -1.04))*15./6.;
1178 1178
1179 // CAS PI+ P ET PI- N 1179 // CAS PI+ P ET PI- N
1180 return tamp6; 1180 return tamp6;
1181 } 1181 }
1182 1182
1183 G4double CrossSectionsMultiPions::piMinus 1183 G4double CrossSectionsMultiPions::piMinuspTwoPi(Particle const * const particle1, Particle const * const particle2) {
1184 // 1184 //
1185 // pion-nucleon interaction, producing 1185 // pion-nucleon interaction, producing 2 pions
1186 // fit from Landolt-Bornstein multiplie 1186 // fit from Landolt-Bornstein multiplied by factor determined with evaluation of total xs
1187 // 1187 //
1188 1188
1189 const Particle *pion; 1189 const Particle *pion;
1190 const Particle *nucleon; 1190 const Particle *nucleon;
1191 if(particle1->isNucleon()) { 1191 if(particle1->isNucleon()) {
1192 nucleon = particle1; 1192 nucleon = particle1;
1193 pion = particle2; 1193 pion = particle2;
1194 } else { 1194 } else {
1195 pion = particle1; 1195 pion = particle1;
1196 nucleon = particle2; 1196 nucleon = particle2;
1197 } 1197 }
1198 // assert(pion->isPion()); 1198 // assert(pion->isPion());
1199 1199
1200 const G4double pLab = KinematicsUtils::mome 1200 const G4double pLab = KinematicsUtils::momentumInLab(pion, nucleon);
1201 1201
1202 // this limit corresponds to sqrt(s)=1230 M 1202 // this limit corresponds to sqrt(s)=1230 MeV
1203 if(pLab<296.367) 1203 if(pLab<296.367)
1204 return 0.0; 1204 return 0.0;
1205 1205
1206 // const G4int ipi = ParticleTable::getIso 1206 // const G4int ipi = ParticleTable::getIsospin(pion->getType());
1207 // const G4int ind2 = ParticleTable::getIs 1207 // const G4int ind2 = ParticleTable::getIsospin(nucleon->getType());
1208 // const G4int cg = 4 + ind2*ipi; 1208 // const G4int cg = 4 + ind2*ipi;
1209 // assert(cg==2 || cg==4 || cg==6); 1209 // assert(cg==2 || cg==4 || cg==6);
1210 1210
1211 const G4double p1=1e-3*pLab; 1211 const G4double p1=1e-3*pLab;
1212 G4double tamp2=0.; 1212 G4double tamp2=0.;
1213 1213
1214 // X-SECTION PI- P INELASTIQUE : 1214 // X-SECTION PI- P INELASTIQUE :
1215 if(pLab<2083.63) // corresponds to sqrt(s)= 1215 if(pLab<2083.63) // corresponds to sqrt(s)=2195 MeV
1216 tamp2=piMinuspIne(particle1, particle2)-p 1216 tamp2=piMinuspIne(particle1, particle2)-piMinuspOnePi(particle1, particle2);
1217 else 1217 else
1218 tamp2=2.457794117647+18.066176470588*std: 1218 tamp2=2.457794117647+18.066176470588*std::pow(p1, -0.92); // tamp2=(0.619+4.55*std::pow(p1, -0.92))*135./34.;
1219 1219
1220 // CAS PI- P ET PI+ N 1220 // CAS PI- P ET PI+ N
1221 return tamp2; 1221 return tamp2;
1222 } 1222 }
1223 1223
1224 1224
1225 1225
1226 1226
1227 G4double CrossSectionsMultiPions::piNToEt 1227 G4double CrossSectionsMultiPions::piNToEtaN(Particle const * const, Particle const * const) {
1228 // 1228 //
1229 // Pion-Nucleon producing Eta cross s 1229 // Pion-Nucleon producing Eta cross sections
1230 // 1230 //
1231 return 0.; 1231 return 0.;
1232 } 1232 }
1233 1233
1234 G4double CrossSectionsMultiPions::piNToOm 1234 G4double CrossSectionsMultiPions::piNToOmegaN(Particle const * const, Particle const * const) {
1235 // 1235 //
1236 // Pion-Nucleon producing Omega cross 1236 // Pion-Nucleon producing Omega cross sections
1237 // 1237 //
1238 return 0.; 1238 return 0.;
1239 } 1239 }
1240 1240
1241 G4double CrossSectionsMultiPions::piNToEt 1241 G4double CrossSectionsMultiPions::piNToEtaPrimeN(Particle const * const, Particle const * const) {
1242 // 1242 //
1243 // Pion-Nucleon producing EtaPrime cr 1243 // Pion-Nucleon producing EtaPrime cross sections
1244 // 1244 //
1245 return 0.; 1245 return 0.;
1246 } 1246 }
1247 1247
1248 G4double CrossSectionsMultiPions::etaNToP 1248 G4double CrossSectionsMultiPions::etaNToPiN(Particle const * const, Particle const * const) {
1249 // 1249 //
1250 // Eta-Nucleon producing Pion cross s 1250 // Eta-Nucleon producing Pion cross sections
1251 // 1251 //
1252 return 0.; 1252 return 0.;
1253 } 1253 }
1254 1254
1255 1255
1256 G4double CrossSectionsMultiPions::etaNTo 1256 G4double CrossSectionsMultiPions::etaNToPiPiN(Particle const * const, Particle const * const) {
1257 // 1257 //
1258 // Eta-Nucleon producing Two Pions cr 1258 // Eta-Nucleon producing Two Pions cross sections
1259 // 1259 //
1260 return 0.; 1260 return 0.;
1261 } 1261 }
1262 1262
1263 1263
1264 G4double CrossSectionsMultiPions::omegaNT 1264 G4double CrossSectionsMultiPions::omegaNToPiN(Particle const * const, Particle const * const) {
1265 // 1265 //
1266 // Omega-Nucleon producing Pion cross 1266 // Omega-Nucleon producing Pion cross sections
1267 // 1267 //
1268 return 0.; 1268 return 0.;
1269 } 1269 }
1270 1270
1271 G4double CrossSectionsMultiPions::omegaNT 1271 G4double CrossSectionsMultiPions::omegaNToPiPiN(Particle const * const, Particle const * const) {
1272 // 1272 //
1273 // Omega-Nucleon producing Two Pions 1273 // Omega-Nucleon producing Two Pions cross sections
1274 // 1274 //
1275 return 0.; 1275 return 0.;
1276 } 1276 }
1277 1277
1278 G4double CrossSectionsMultiPions::etaPrim 1278 G4double CrossSectionsMultiPions::etaPrimeNToPiN(Particle const * const, Particle const * const) {
1279 // 1279 //
1280 // EtaPrime-Nucleon producing Pion cr 1280 // EtaPrime-Nucleon producing Pion cross sections
1281 // 1281 //
1282 return 0.; 1282 return 0.;
1283 } 1283 }
1284 1284
1285 G4double CrossSectionsMultiPions::NNToNNE 1285 G4double CrossSectionsMultiPions::NNToNNEta(Particle const * const, Particle const * const) {
1286 // 1286 //
1287 // Nucleon-Nucleon producing Eta cros 1287 // Nucleon-Nucleon producing Eta cross sections
1288 // 1288 //
1289 return 0.; 1289 return 0.;
1290 } 1290 }
1291 1291
1292 G4double CrossSectionsMultiPions::NNToNNEta 1292 G4double CrossSectionsMultiPions::NNToNNEtaExclu(Particle const * const, Particle const * const) {
1293 // 1293 //
1294 // Nucleon-Nucleon producing Eta cros 1294 // Nucleon-Nucleon producing Eta cross sections
1295 // 1295 //
1296 return 0.; 1296 return 0.;
1297 } 1297 }
1298 1298
1299 G4double CrossSectionsMultiPions::NNToNNEta 1299 G4double CrossSectionsMultiPions::NNToNNEtaxPi(const G4int, Particle const * const, Particle const * const) {
1300 return 0.; 1300 return 0.;
1301 } 1301 }
1302 1302
1303 G4double CrossSectionsMultiPions::NNToNDe 1303 G4double CrossSectionsMultiPions::NNToNDeltaEta(Particle const * const, Particle const * const) {
1304 // 1304 //
1305 // Nucleon-Nucleon producing N-Delta- 1305 // Nucleon-Nucleon producing N-Delta-Eta cross sections
1306 // 1306 //
1307 return 0.; 1307 return 0.;
1308 } 1308 }
1309 1309
1310 G4double CrossSectionsMultiPions::NNToNNO 1310 G4double CrossSectionsMultiPions::NNToNNOmega(Particle const * const, Particle const * const) {
1311 // 1311 //
1312 // Nucleon-Nucleon producing Omega cr 1312 // Nucleon-Nucleon producing Omega cross sections
1313 // 1313 //
1314 return 0.; 1314 return 0.;
1315 } 1315 }
1316 1316
1317 G4double CrossSectionsMultiPions::NNToNNO 1317 G4double CrossSectionsMultiPions::NNToNNOmegaExclu(Particle const * const, Particle const * const) {
1318 // 1318 //
1319 // Nucleon-Nucleon producing Omega cr 1319 // Nucleon-Nucleon producing Omega cross sections
1320 // 1320 //
1321 return 0.; 1321 return 0.;
1322 } 1322 }
1323 1323
1324 G4double CrossSectionsMultiPions::NNToNNO 1324 G4double CrossSectionsMultiPions::NNToNNOmegaxPi(const G4int, Particle const * const, Particle const * const) {
1325 return 0.; 1325 return 0.;
1326 } 1326 }
1327 1327
1328 G4double CrossSectionsMultiPions::NNToNDe 1328 G4double CrossSectionsMultiPions::NNToNDeltaOmega(Particle const * const, Particle const * const) {
1329 // 1329 //
1330 // Nucleon-Nucleon producing N-Delta-Om 1330 // Nucleon-Nucleon producing N-Delta-Omega cross sections
1331 // 1331 //
1332 return 0.; 1332 return 0.;
1333 } 1333 }
1334 1334
1335 1335
1336 1336
1337 1337
1338 G4double CrossSectionsMultiPions::NYelast 1338 G4double CrossSectionsMultiPions::NYelastic(Particle const * const , Particle const * const ) {
1339 // 1339 //
1340 // Hyperon-Nucleon elastic cross 1340 // Hyperon-Nucleon elastic cross sections
1341 // 1341 //
1342 return 0.; 1342 return 0.;
1343 } 1343 }
1344 1344
1345 G4double CrossSectionsMultiPions::NKelast 1345 G4double CrossSectionsMultiPions::NKelastic(Particle const * const , Particle const * const ) {
1346 // 1346 //
1347 // Kaon-Nucleon elastic cross se 1347 // Kaon-Nucleon elastic cross sections
1348 // 1348 //
1349 return 0.; 1349 return 0.;
1350 } 1350 }
1351 1351
1352 G4double CrossSectionsMultiPions::NKbelas 1352 G4double CrossSectionsMultiPions::NKbelastic(Particle const * const , Particle const * const ) {
1353 // 1353 //
1354 // antiKaon-Nucleon elastic cros 1354 // antiKaon-Nucleon elastic cross sections
1355 // 1355 //
1356 return 0.; 1356 return 0.;
1357 } 1357 }
1358 1358
1359 1359
1360 G4double CrossSectionsMultiPions::NNToNLK(P 1360 G4double CrossSectionsMultiPions::NNToNLK(Particle const * const, Particle const * const) {
1361 // 1361 //
1362 // Nucleon-Nucleon producing N-L 1362 // Nucleon-Nucleon producing N-Lambda-Kaon cross sections
1363 // 1363 //
1364 return 0.; 1364 return 0.;
1365 } 1365 }
1366 1366
1367 G4double CrossSectionsMultiPions::NNToNSK 1367 G4double CrossSectionsMultiPions::NNToNSK(Particle const * const, Particle const * const) {
1368 // 1368 //
1369 // Nucleon-Nucleon producing N-S 1369 // Nucleon-Nucleon producing N-Sigma-Kaon cross sections
1370 // 1370 //
1371 return 0.; 1371 return 0.;
1372 } 1372 }
1373 1373
1374 G4double CrossSectionsMultiPions::NNToNLK 1374 G4double CrossSectionsMultiPions::NNToNLKpi(Particle const * const, Particle const * const) {
1375 // 1375 //
1376 // Nucleon-Nucleon producing N-L 1376 // Nucleon-Nucleon producing N-Lambda-Kaon-pion cross sections
1377 // 1377 //
1378 return 0.; 1378 return 0.;
1379 } 1379 }
1380 1380
1381 G4double CrossSectionsMultiPions::NNToNSK 1381 G4double CrossSectionsMultiPions::NNToNSKpi(Particle const * const, Particle const * const) {
1382 // 1382 //
1383 // Nucleon-Nucleon producing N-S 1383 // Nucleon-Nucleon producing N-Sigma-Kaon-pion cross sections
1384 // 1384 //
1385 return 0.; 1385 return 0.;
1386 } 1386 }
1387 1387
1388 G4double CrossSectionsMultiPions::NNToNLK 1388 G4double CrossSectionsMultiPions::NNToNLK2pi(Particle const * const, Particle const * const) {
1389 // 1389 //
1390 // Nucleon-Nucleon producing N-La 1390 // Nucleon-Nucleon producing N-Lambda-Kaon-2pion cross sections
1391 // 1391 //
1392 return 0.; 1392 return 0.;
1393 } 1393 }
1394 1394
1395 G4double CrossSectionsMultiPions::NNToNSK 1395 G4double CrossSectionsMultiPions::NNToNSK2pi(Particle const * const, Particle const * const) {
1396 // 1396 //
1397 // Nucleon-Nucleon producing N-S 1397 // Nucleon-Nucleon producing N-Sigma-Kaon-2pion cross sections
1398 // 1398 //
1399 return 0.; 1399 return 0.;
1400 } 1400 }
1401 1401
1402 G4double CrossSectionsMultiPions::NNToNNK 1402 G4double CrossSectionsMultiPions::NNToNNKKb(Particle const * const, Particle const * const) {
1403 // 1403 //
1404 // Nucleon-Nucleon producing Nuc 1404 // Nucleon-Nucleon producing Nucleon-Nucleon-Kaon-antiKaon cross sections
1405 // 1405 //
1406 return 0.; 1406 return 0.;
1407 } 1407 }
1408 1408
1409 G4double CrossSectionsMultiPions::NNToMis 1409 G4double CrossSectionsMultiPions::NNToMissingStrangeness(Particle const * const, Particle const * const) {
1410 // 1410 //
1411 // Nucleon-Nucleon missing stran 1411 // Nucleon-Nucleon missing strangeness production cross sections
1412 // 1412 //
1413 return 0.; 1413 return 0.;
1414 } 1414 }
1415 1415
1416 G4double CrossSectionsMultiPions::NDeltaT 1416 G4double CrossSectionsMultiPions::NDeltaToNLK(Particle const * const, Particle const * const) {
1417 // Nucleon-Delta producing Nucleon La 1417 // Nucleon-Delta producing Nucleon Lambda Kaon cross section
1418 return 0; 1418 return 0;
1419 } 1419 }
1420 G4double CrossSectionsMultiPions::NDeltaT 1420 G4double CrossSectionsMultiPions::NDeltaToNSK(Particle const * const, Particle const * const) {
1421 // Nucleon-Delta producing Nucleon Si 1421 // Nucleon-Delta producing Nucleon Sigma Kaon cross section
1422 return 0; 1422 return 0;
1423 } 1423 }
1424 G4double CrossSectionsMultiPions::NDeltaT 1424 G4double CrossSectionsMultiPions::NDeltaToDeltaLK(Particle const * const, Particle const * const) {
1425 // Nucleon-Delta producing Delta Lamb 1425 // Nucleon-Delta producing Delta Lambda Kaon cross section
1426 return 0; 1426 return 0;
1427 } 1427 }
1428 G4double CrossSectionsMultiPions::NDeltaT 1428 G4double CrossSectionsMultiPions::NDeltaToDeltaSK(Particle const * const, Particle const * const) {
1429 // Nucleon-Delta producing Delta Sigm 1429 // Nucleon-Delta producing Delta Sigma Kaon cross section
1430 return 0; 1430 return 0;
1431 } 1431 }
1432 1432
1433 G4double CrossSectionsMultiPions::NDeltaT 1433 G4double CrossSectionsMultiPions::NDeltaToNNKKb(Particle const * const, Particle const * const) {
1434 // Nucleon-Delta producing Nucleon-Nu 1434 // Nucleon-Delta producing Nucleon-Nucleon Kaon antiKaon cross section
1435 return 0; 1435 return 0;
1436 } 1436 }
1437 1437
1438 1438
1439 G4double CrossSectionsMultiPions::NpiToLK 1439 G4double CrossSectionsMultiPions::NpiToLK(Particle const * const, Particle const * const) {
1440 // 1440 //
1441 // Pion-Nucleon producing Lambda 1441 // Pion-Nucleon producing Lambda-Kaon cross sections
1442 // 1442 //
1443 return 0.; 1443 return 0.;
1444 } 1444 }
1445 1445
1446 G4double CrossSectionsMultiPions::NpiToSK 1446 G4double CrossSectionsMultiPions::NpiToSK(Particle const * const, Particle const * const) {
1447 // 1447 //
1448 // Pion-Nucleon producing Sigma- 1448 // Pion-Nucleon producing Sigma-Kaon cross sections
1449 // 1449 //
1450 return 0.; 1450 return 0.;
1451 } 1451 }
1452 G4double CrossSectionsMultiPions::p_pimTo 1452 G4double CrossSectionsMultiPions::p_pimToSmKp(Particle const * const, Particle const * const) {
1453 return 0.; 1453 return 0.;
1454 } 1454 }
1455 G4double CrossSectionsMultiPions::p_pimTo 1455 G4double CrossSectionsMultiPions::p_pimToSzKz(Particle const * const, Particle const * const) {
1456 return 0.; 1456 return 0.;
1457 } 1457 }
1458 G4double CrossSectionsMultiPions::p_pizTo 1458 G4double CrossSectionsMultiPions::p_pizToSzKp(Particle const * const, Particle const * const) {
1459 return 0.; 1459 return 0.;
1460 } 1460 }
1461 1461
1462 G4double CrossSectionsMultiPions::NpiToLK 1462 G4double CrossSectionsMultiPions::NpiToLKpi(Particle const * const, Particle const * const) {
1463 // 1463 //
1464 // Pion-Nucleon producing Lambda 1464 // Pion-Nucleon producing Lambda-Kaon-pion cross sections
1465 // 1465 //
1466 return 0.; 1466 return 0.;
1467 } 1467 }
1468 1468
1469 G4double CrossSectionsMultiPions::NpiToSK 1469 G4double CrossSectionsMultiPions::NpiToSKpi(Particle const * const, Particle const * const) {
1470 // 1470 //
1471 // Pion-Nucleon producing Sigma- 1471 // Pion-Nucleon producing Sigma-Kaon-pion cross sections
1472 // 1472 //
1473 return 0.; 1473 return 0.;
1474 } 1474 }
1475 1475
1476 G4double CrossSectionsMultiPions::NpiToLK 1476 G4double CrossSectionsMultiPions::NpiToLK2pi(Particle const * const, Particle const * const) {
1477 // 1477 //
1478 // Pion-Nucleon producing Lambda 1478 // Pion-Nucleon producing Lambda-Kaon-2pion cross sections
1479 // 1479 //
1480 return 0.; 1480 return 0.;
1481 } 1481 }
1482 1482
1483 G4double CrossSectionsMultiPions::NpiToSK 1483 G4double CrossSectionsMultiPions::NpiToSK2pi(Particle const * const, Particle const * const) {
1484 // 1484 //
1485 // Pion-Nucleon producing Lambda 1485 // Pion-Nucleon producing Lambda-Kaon-2pion cross sections
1486 // 1486 //
1487 return 0.; 1487 return 0.;
1488 } 1488 }
1489 1489
1490 G4double CrossSectionsMultiPions::NpiToNK 1490 G4double CrossSectionsMultiPions::NpiToNKKb(Particle const * const, Particle const * const) {
1491 // 1491 //
1492 // Pion-Nucleon producing Nucleo 1492 // Pion-Nucleon producing Nucleon-Kaon-antiKaon cross sections
1493 // 1493 //
1494 return 0.; 1494 return 0.;
1495 } 1495 }
1496 1496
1497 G4double CrossSectionsMultiPions::NpiToMi 1497 G4double CrossSectionsMultiPions::NpiToMissingStrangeness(Particle const * const, Particle const * const) {
1498 // 1498 //
1499 // Pion-Nucleon missing strangen 1499 // Pion-Nucleon missing strangeness production cross sections
1500 // 1500 //
1501 return 0.; 1501 return 0.;
1502 } 1502 }
1503 1503
1504 G4double CrossSectionsMultiPions::NLToNS( 1504 G4double CrossSectionsMultiPions::NLToNS(Particle const * const, Particle const * const) {
1505 // 1505 //
1506 // Nucleon-Hyperon multiplet cha 1506 // Nucleon-Hyperon multiplet changing cross sections
1507 // 1507 //
1508 return 0.; 1508 return 0.;
1509 } 1509 }
1510 1510
1511 G4double CrossSectionsMultiPions::NSToNL( 1511 G4double CrossSectionsMultiPions::NSToNL(Particle const * const, Particle const * const) {
1512 // 1512 //
1513 // Nucleon-Sigma quasi-elastic c 1513 // Nucleon-Sigma quasi-elastic cross sections
1514 // 1514 //
1515 return 0.; 1515 return 0.;
1516 } 1516 }
1517 1517
1518 G4double CrossSectionsMultiPions::NSToNS( 1518 G4double CrossSectionsMultiPions::NSToNS(Particle const * const, Particle const * const) {
1519 // 1519 //
1520 // Nucleon-Sigma quasi-elastic c 1520 // Nucleon-Sigma quasi-elastic cross sections
1521 // 1521 //
1522 return 0.; 1522 return 0.;
1523 } 1523 }
1524 1524
1525 G4double CrossSectionsMultiPions::NKToNK( 1525 G4double CrossSectionsMultiPions::NKToNK(Particle const * const, Particle const * const) {
1526 // 1526 //
1527 // Nucleon-Kaon quasi-elastic cr 1527 // Nucleon-Kaon quasi-elastic cross sections
1528 // 1528 //
1529 return 0.; 1529 return 0.;
1530 } 1530 }
1531 1531
1532 G4double CrossSectionsMultiPions::NKToNKp 1532 G4double CrossSectionsMultiPions::NKToNKpi(Particle const * const, Particle const * const) {
1533 // 1533 //
1534 // Nucleon-Kaon producing Nucleo 1534 // Nucleon-Kaon producing Nucleon-Kaon-pion cross sections
1535 // 1535 //
1536 return 0.; 1536 return 0.;
1537 } 1537 }
1538 1538
1539 G4double CrossSectionsMultiPions::NKToNK2 1539 G4double CrossSectionsMultiPions::NKToNK2pi(Particle const * const, Particle const * const) {
1540 // 1540 //
1541 // Nucleon-Kaon producing Nucleo 1541 // Nucleon-Kaon producing Nucleon-Kaon-2pion cross sections
1542 // 1542 //
1543 return 0.; 1543 return 0.;
1544 } 1544 }
1545 1545
1546 G4double CrossSectionsMultiPions::NKbToNK 1546 G4double CrossSectionsMultiPions::NKbToNKb(Particle const * const, Particle const * const) {
1547 // 1547 //
1548 // Nucleon-antiKaon quasi-elasti 1548 // Nucleon-antiKaon quasi-elastic cross sections
1549 // 1549 //
1550 return 0.; 1550 return 0.;
1551 } 1551 }
1552 1552
1553 G4double CrossSectionsMultiPions::NKbToSp 1553 G4double CrossSectionsMultiPions::NKbToSpi(Particle const * const, Particle const * const) {
1554 // 1554 //
1555 // Nucleon-antiKaon producing Si 1555 // Nucleon-antiKaon producing Sigma-pion cross sections
1556 // 1556 //
1557 return 0.; 1557 return 0.;
1558 } 1558 }
1559 1559
1560 G4double CrossSectionsMultiPions::NKbToLp 1560 G4double CrossSectionsMultiPions::NKbToLpi(Particle const * const, Particle const * const) {
1561 // 1561 //
1562 // Nucleon-antiKaon producing La 1562 // Nucleon-antiKaon producing Lambda-pion cross sections
1563 // 1563 //
1564 return 0.; 1564 return 0.;
1565 } 1565 }
1566 1566
1567 G4double CrossSectionsMultiPions::NKbToS2 1567 G4double CrossSectionsMultiPions::NKbToS2pi(Particle const * const, Particle const * const) {
1568 // 1568 //
1569 // Nucleon-antiKaon producing Si 1569 // Nucleon-antiKaon producing Sigma-2pion cross sections
1570 // 1570 //
1571 return 0.; 1571 return 0.;
1572 } 1572 }
1573 1573
1574 G4double CrossSectionsMultiPions::NKbToL2 1574 G4double CrossSectionsMultiPions::NKbToL2pi(Particle const * const, Particle const * const) {
1575 // 1575 //
1576 // Nucleon-antiKaon producing La 1576 // Nucleon-antiKaon producing Lambda-2pion cross sections
1577 // 1577 //
1578 return 0.; 1578 return 0.;
1579 } 1579 }
1580 1580
1581 G4double CrossSectionsMultiPions::NKbToNK 1581 G4double CrossSectionsMultiPions::NKbToNKbpi(Particle const * const, Particle const * const) {
1582 // 1582 //
1583 // Nucleon-antiKaon producing Nu 1583 // Nucleon-antiKaon producing Nucleon-antiKaon-pion cross sections
1584 // 1584 //
1585 return 0.; 1585 return 0.;
1586 } 1586 }
1587 1587
1588 G4double CrossSectionsMultiPions::NKbToNK 1588 G4double CrossSectionsMultiPions::NKbToNKb2pi(Particle const * const, Particle const * const) {
1589 // 1589 //
1590 // Nucleon-antiKaon producing Nu 1590 // Nucleon-antiKaon producing Nucleon-antiKaon-2pion cross sections
1591 // 1591 //
1592 return 0.; 1592 return 0.;
1593 } 1593 }
1594 1594
1595 G4double CrossSectionsMultiPions::NNbarEl 1595 G4double CrossSectionsMultiPions::NNbarElastic(Particle const* const, Particle const* const){
1596 // 1596 //
1597 // Nucleon-AntiNucleon to Nucleon 1597 // Nucleon-AntiNucleon to Nucleon-AntiNucleon cross sections
1598 // 1598 //
1599 return 0.; 1599 return 0.;
1600 } 1600 }
1601 1601
1602 G4double CrossSectionsMultiPions::NNbarCE 1602 G4double CrossSectionsMultiPions::NNbarCEX(Particle const* const, Particle const* const){
1603 // 1603 //
1604 // Nucleon-AntiNucleon charge exc 1604 // Nucleon-AntiNucleon charge exchange cross sections
1605 // 1605 //
1606 return 0.; 1606 return 0.;
1607 } 1607 }
1608 1608
1609 G4double CrossSectionsMultiPions::NNbarTo 1609 G4double CrossSectionsMultiPions::NNbarToLLbar(Particle const* const, Particle const* const){
1610 // 1610 //
1611 // Nucleon-AntiNucleon to Lambda- 1611 // Nucleon-AntiNucleon to Lambda-AntiLambda cross sections
1612 // 1612 //
1613 return 0.; 1613 return 0.;
1614 } 1614 }
1615 1615
1616 G4double CrossSectionsMultiPions::NNbarTo 1616 G4double CrossSectionsMultiPions::NNbarToNNbarpi(Particle const* const, Particle const* const){
1617 // 1617 //
1618 // Nucleon-AntiNucleon to Nucleon 1618 // Nucleon-AntiNucleon to Nucleon-AntiNucleon + 1 pion cross sections
1619 // 1619 //
1620 return 0.; 1620 return 0.;
1621 } 1621 }
1622 1622
1623 G4double CrossSectionsMultiPions::NNbarTo 1623 G4double CrossSectionsMultiPions::NNbarToNNbar2pi(Particle const* const, Particle const* const){
1624 // 1624 //
1625 // Nucleon-AntiNucleon to Nucleon 1625 // Nucleon-AntiNucleon to Nucleon-AntiNucleon + 2 pions cross sections
1626 // 1626 //
1627 return 0.; 1627 return 0.;
1628 } 1628 }
1629 1629
1630 G4double CrossSectionsMultiPions::NNbarTo 1630 G4double CrossSectionsMultiPions::NNbarToNNbar3pi(Particle const* const, Particle const* const){
1631 // 1631 //
1632 // Nucleon-AntiNucleon to Nucleon 1632 // Nucleon-AntiNucleon to Nucleon-AntiNucleon + 3 pions cross sections
1633 // 1633 //
1634 return 0.; 1634 return 0.;
1635 } 1635 }
1636 1636
1637 G4double CrossSectionsMultiPions::NNbarTo 1637 G4double CrossSectionsMultiPions::NNbarToAnnihilation(Particle const* const, Particle const* const){
1638 // 1638 //
1639 // Nucleon-AntiNucleon total anni 1639 // Nucleon-AntiNucleon total annihilation cross sections
1640 // 1640 //
1641 return 0.; 1641 return 0.;
1642 } 1642 }
1643 } // namespace G4INCL 1643 } // namespace G4INCL
1644 1644
1645 1645