source: trunk/source/processes/hadronic/cross_sections/src/G4GGNuclNuclCrossSection.cc@ 1211

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18// * This code implementation is the result of the scientific and *
19// * technical work of the GEANT4 collaboration. *
20// * By using, copying, modifying or distributing the software (or *
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24// ********************************************************************
25//
26//
27// 24.11.08 V. Grichine - first implementation
28//
29
30#include "G4GGNuclNuclCrossSection.hh"
31
32#include "G4ParticleTable.hh"
33#include "G4IonTable.hh"
34#include "G4ParticleDefinition.hh"
35
36
37
38////////////////////////////////////////////////////////////////////////////////
39//
40//
41
42G4GGNuclNuclCrossSection::G4GGNuclNuclCrossSection()
43: fUpperLimit( 100000 * GeV ),
44 fLowerLimit( 0.1 * MeV ),
45 fRadiusConst( 1.08*fermi ) // 1.1, 1.3 ?
46{
47 theProton = G4Proton::Proton();
48 theNeutron = G4Neutron::Neutron();
49}
50
51///////////////////////////////////////////////////////////////////////////////////////
52//
53//
54
55G4GGNuclNuclCrossSection::~G4GGNuclNuclCrossSection()
56{
57}
58
59
60////////////////////////////////////////////////////////////////////////////////////////
61//
62//
63
64
65G4bool
66G4GGNuclNuclCrossSection::IsApplicable(const G4DynamicParticle* aDP,
67 const G4Element* anElement)
68{
69 return IsZAApplicable(aDP, anElement->GetZ(), anElement->GetN());
70}
71
72////////////////////////////////////////////////////////////////////////////////////////
73//
74//
75
76G4bool
77G4GGNuclNuclCrossSection::IsZAApplicable(const G4DynamicParticle* aDP,
78 G4double Z, G4double)
79{
80 G4bool applicable = false;
81 // G4int baryonNumber = aDP->GetDefinition()->GetBaryonNumber();
82 G4double kineticEnergy = aDP->GetKineticEnergy();
83
84 // const G4ParticleDefinition* theParticle = aDP->GetDefinition();
85
86 if ( kineticEnergy >= fLowerLimit && Z > 1.5 ) applicable = true;
87
88 return applicable;
89}
90
91////////////////////////////////////////////////////////////////////////////////////////
92//
93// Calculates total and inelastic Xsc, derives elastic as total - inelastic accordong to
94// Glauber model with Gribov correction calculated in the dipole approximation on
95// light cone. Gaussian density helps to calculate rest integrals of the model.
96// [1] B.Z. Kopeliovich, nucl-th/0306044
97
98
99G4double G4GGNuclNuclCrossSection::
100GetCrossSection(const G4DynamicParticle* aParticle, const G4Element* anElement, G4double T)
101{
102 return GetIsoZACrossSection(aParticle, anElement->GetZ(), anElement->GetN(), T);
103}
104
105////////////////////////////////////////////////////////////////////////////////////////
106//
107// Calculates total and inelastic Xsc, derives elastic as total - inelastic accordong to
108// Glauber model with Gribov correction calculated in the dipole approximation on
109// light cone. Gaussian density of point-like nucleons helps to calculate rest integrals of the model.
110// [1] B.Z. Kopeliovich, nucl-th/0306044 + simplification above
111
112
113
114G4double G4GGNuclNuclCrossSection::
115GetIsoZACrossSection(const G4DynamicParticle* aParticle, G4double tZ, G4double tA, G4double)
116{
117 G4double xsection, sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, cB, ratio;
118
119 G4double pZ = aParticle->GetDefinition()->GetPDGCharge();
120 G4double pA = aParticle->GetDefinition()->GetBaryonNumber();
121
122 G4double pTkin = aParticle->GetKineticEnergy();
123 pTkin /= pA;
124
125 G4double pN = pA - pZ;
126 if( pN < 0. ) pN = 0.;
127
128 G4double tN = tA - tZ;
129 if( tN < 0. ) tN = 0.;
130
131 G4double tR = GetNucleusRadius(tA);
132 G4double pR = GetNucleusRadius(pA);
133
134 cB = GetCoulombBarier(aParticle, tZ, tA, pR, tR);
135
136 if(cB > 0.)
137 {
138
139 sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) +
140 (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron);
141
142 nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR
143
144 ratio = sigma/nucleusSquare;
145
146 xsection = nucleusSquare*std::log( 1. + ratio );
147
148 fTotalXsc = xsection;
149
150 fTotalXsc *= cB;
151
152 fInelasticXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic;
153
154 fInelasticXsc *= cB;
155
156 fElasticXsc = fTotalXsc - fInelasticXsc;
157
158 // if (fElasticXsc < DBL_MIN) fElasticXsc = DBL_MIN;
159 /*
160 G4double difratio = ratio/(1.+ratio);
161
162 fDiffractionXsc = 0.5*nucleusSquare*( difratio - std::log( 1. + difratio ) );
163 */
164 // production to be checked !!! edit MK xsc
165
166 sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscMK(theProton, pTkin, theProton) +
167 (pZ*tN+pN*tZ)*GetHadronNucleonXscMK(theProton, pTkin, theNeutron);
168
169 ratio = sigma/nucleusSquare;
170
171 fProductionXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic;
172
173 if (fElasticXsc < 0.) fElasticXsc = 0.;
174 }
175 else
176 {
177 fInelasticXsc = 0.;
178 fTotalXsc = 0.;
179 fElasticXsc = 0.;
180 fProductionXsc = 0.;
181 }
182 return fInelasticXsc; // xsection;
183}
184
185////////////////////////////////////////////////////////////////////////////////////////
186//
187//
188
189G4double G4GGNuclNuclCrossSection::
190GetCoulombBarier(const G4DynamicParticle* aParticle, G4double tZ, G4double tA, G4double pR, G4double tR)
191{
192 G4double ratio;
193 G4double pZ = aParticle->GetDefinition()->GetPDGCharge();
194
195
196 G4double pTkin = aParticle->GetKineticEnergy();
197 // G4double pPlab = aParticle->GetTotalMomentum();
198 G4double pM = aParticle->GetDefinition()->GetPDGMass();
199 // G4double tM = tZ*proton_mass_c2 + (tA-tZ)*neutron_mass_c2; // ~ 1% accuracy
200 G4double tM = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIonMass( G4int(tZ), G4int(tA) );
201 G4double pElab = pTkin + pM;
202 G4double totEcm = std::sqrt(pM*pM + tM*tM + 2.*pElab*tM);
203 // G4double pPcm = pPlab*tM/totEcm;
204 // G4double pTcm = std::sqrt(pM*pM + pPcm*pPcm) - pM;
205 G4double totTcm = totEcm - pM -tM;
206
207 G4double bC = fine_structure_const*hbarc*pZ*tZ;
208 bC /= pR + tR;
209 bC /= 2.; // 4., 2. parametrisation cof ??? vmg
210
211 // G4cout<<"pTkin = "<<pTkin/GeV<<"; pPlab = "
212 // <<pPlab/GeV<<"; bC = "<<bC/GeV<<"; pTcm = "<<pTcm/GeV<<G4endl;
213
214 if( totTcm <= bC ) ratio = 0.;
215 else ratio = 1. - bC/totTcm;
216
217 // if(ratio < DBL_MIN) ratio = DBL_MIN;
218 if( ratio < 0.) ratio = 0.;
219
220 // G4cout <<"ratio = "<<ratio<<G4endl;
221 return ratio;
222}
223
224
225//////////////////////////////////////////////////////////////////////////
226//
227// Return single-diffraction/inelastic cross-section ratio
228
229G4double G4GGNuclNuclCrossSection::
230GetRatioSD(const G4DynamicParticle* aParticle, G4double tA, G4double tZ)
231{
232 G4double sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, ratio;
233
234 G4double pZ = aParticle->GetDefinition()->GetPDGCharge();
235 G4double pA = aParticle->GetDefinition()->GetBaryonNumber();
236
237 G4double pTkin = aParticle->GetKineticEnergy();
238 pTkin /= pA;
239
240 G4double pN = pA - pZ;
241 if( pN < 0. ) pN = 0.;
242
243 G4double tN = tA - tZ;
244 if( tN < 0. ) tN = 0.;
245
246 G4double tR = GetNucleusRadius(tA);
247 G4double pR = GetNucleusRadius(pA);
248
249 sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) +
250 (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron);
251
252 nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR
253
254 ratio = sigma/nucleusSquare;
255
256
257 fInelasticXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic;
258
259 G4double difratio = ratio/(1.+ratio);
260
261 fDiffractionXsc = 0.5*nucleusSquare*( difratio - std::log( 1. + difratio ) );
262
263 if (fInelasticXsc > 0.) ratio = fDiffractionXsc/fInelasticXsc;
264 else ratio = 0.;
265
266 return ratio;
267}
268
269//////////////////////////////////////////////////////////////////////////
270//
271// Return suasi-elastic/inelastic cross-section ratio
272
273G4double G4GGNuclNuclCrossSection::
274GetRatioQE(const G4DynamicParticle* aParticle, G4double tA, G4double tZ)
275{
276 G4double sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, ratio;
277
278 G4double pZ = aParticle->GetDefinition()->GetPDGCharge();
279 G4double pA = aParticle->GetDefinition()->GetBaryonNumber();
280
281 G4double pTkin = aParticle->GetKineticEnergy();
282 pTkin /= pA;
283
284 G4double pN = pA - pZ;
285 if( pN < 0. ) pN = 0.;
286
287 G4double tN = tA - tZ;
288 if( tN < 0. ) tN = 0.;
289
290 G4double tR = GetNucleusRadius(tA);
291 G4double pR = GetNucleusRadius(pA);
292
293 sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) +
294 (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron);
295
296 nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR
297
298 ratio = sigma/nucleusSquare;
299
300 fInelasticXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic;
301
302 // sigma = GetHNinelasticXsc(aParticle, tA, tZ);
303 ratio = sigma/nucleusSquare;
304
305 fProductionXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic;
306
307 if (fInelasticXsc > fProductionXsc) ratio = (fInelasticXsc-fProductionXsc)/fInelasticXsc;
308 else ratio = 0.;
309 if ( ratio < 0. ) ratio = 0.;
310
311 return ratio;
312}
313
314/////////////////////////////////////////////////////////////////////////////////////
315//
316// Returns hadron-nucleon Xsc according to differnt parametrisations:
317// [2] E. Levin, hep-ph/9710546
318// [3] U. Dersch, et al, hep-ex/9910052
319// [4] M.J. Longo, et al, Phys.Rev.Lett. 33 (1974) 725
320
321G4double
322G4GGNuclNuclCrossSection::GetHadronNucleonXsc(const G4DynamicParticle* aParticle,
323 const G4Element* anElement )
324{
325 G4double At = anElement->GetN(); // number of nucleons
326 G4double Zt = anElement->GetZ(); // number of protons
327
328
329 return GetHadronNucleonXsc( aParticle, At, Zt );
330}
331
332
333
334
335/////////////////////////////////////////////////////////////////////////////////////
336//
337// Returns hadron-nucleon Xsc according to differnt parametrisations:
338// [2] E. Levin, hep-ph/9710546
339// [3] U. Dersch, et al, hep-ex/9910052
340// [4] M.J. Longo, et al, Phys.Rev.Lett. 33 (1974) 725
341
342G4double
343G4GGNuclNuclCrossSection::GetHadronNucleonXsc(const G4DynamicParticle* aParticle,
344 G4double At, G4double Zt )
345{
346 G4double xsection = 0.;
347
348
349 G4double targ_mass = G4ParticleTable::GetParticleTable()->
350 GetIonTable()->GetIonMass( G4int(Zt+0.5) , G4int(At+0.5) );
351
352 targ_mass = 0.939*GeV; // ~mean neutron and proton ???
353
354 G4double proj_mass = aParticle->GetMass();
355 G4double proj_momentum = aParticle->GetMomentum().mag();
356 G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum );
357
358 sMand /= GeV*GeV; // in GeV for parametrisation
359 proj_momentum /= GeV;
360
361 const G4ParticleDefinition* pParticle = aParticle->GetDefinition();
362
363
364 if(pParticle == theNeutron) // as proton ???
365 {
366 xsection = At*(21.70*std::pow(sMand,0.0808) + 56.08*std::pow(sMand,-0.4525));
367 }
368 else if(pParticle == theProton)
369 {
370 xsection = At*(21.70*std::pow(sMand,0.0808) + 56.08*std::pow(sMand,-0.4525));
371 // xsection = At*( 49.51*std::pow(sMand,-0.097) + 0.314*std::log(sMand)*std::log(sMand) );
372 // xsection = At*( 38.4 + 0.85*std::abs(std::pow(log(sMand),1.47)) );
373 }
374
375 xsection *= millibarn;
376 return xsection;
377}
378
379
380/////////////////////////////////////////////////////////////////////////////////////
381//
382// Returns hadron-nucleon Xsc according to PDG parametrisation (2005):
383// http://pdg.lbl.gov/2006/reviews/hadronicrpp.pdf
384
385G4double
386G4GGNuclNuclCrossSection::GetHadronNucleonXscPDG(const G4DynamicParticle* aParticle,
387 const G4Element* anElement )
388{
389 G4double At = anElement->GetN(); // number of nucleons
390 G4double Zt = anElement->GetZ(); // number of protons
391
392
393 return GetHadronNucleonXscPDG( aParticle, At, Zt );
394}
395
396
397
398
399/////////////////////////////////////////////////////////////////////////////////////
400//
401// Returns hadron-nucleon Xsc according to PDG parametrisation (2005):
402// http://pdg.lbl.gov/2006/reviews/hadronicrpp.pdf
403// At = number of nucleons, Zt = number of protons
404
405G4double
406G4GGNuclNuclCrossSection::GetHadronNucleonXscPDG(const G4DynamicParticle* aParticle,
407 G4double At, G4double Zt )
408{
409 G4double xsection = 0.;
410
411 G4double Nt = At-Zt; // number of neutrons
412 if (Nt < 0.) Nt = 0.;
413
414
415 G4double targ_mass = G4ParticleTable::GetParticleTable()->
416 GetIonTable()->GetIonMass( G4int(Zt+0.5) , G4int(At+0.5) );
417
418 targ_mass = 0.939*GeV; // ~mean neutron and proton ???
419
420 G4double proj_mass = aParticle->GetMass();
421 G4double proj_momentum = aParticle->GetMomentum().mag();
422
423 G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum );
424
425 sMand /= GeV*GeV; // in GeV for parametrisation
426
427 // General PDG fit constants
428
429 G4double s0 = 5.38*5.38; // in Gev^2
430 G4double eta1 = 0.458;
431 G4double eta2 = 0.458;
432 G4double B = 0.308;
433
434
435 const G4ParticleDefinition* pParticle = aParticle->GetDefinition();
436
437
438 if(pParticle == theNeutron) // proton-neutron fit
439 {
440 xsection = Zt*( 35.80 + B*std::pow(std::log(sMand/s0),2.)
441 + 40.15*std::pow(sMand,-eta1) - 30.*std::pow(sMand,-eta2));
442 xsection += Nt*( 35.45 + B*std::pow(std::log(sMand/s0),2.)
443 + 42.53*std::pow(sMand,-eta1) - 33.34*std::pow(sMand,-eta2)); // pp for nn
444 }
445 else if(pParticle == theProton)
446 {
447
448 xsection = Zt*( 35.45 + B*std::pow(std::log(sMand/s0),2.)
449 + 42.53*std::pow(sMand,-eta1) - 33.34*std::pow(sMand,-eta2));
450
451 xsection += Nt*( 35.80 + B*std::pow(std::log(sMand/s0),2.)
452 + 40.15*std::pow(sMand,-eta1) - 30.*std::pow(sMand,-eta2));
453 }
454 xsection *= millibarn; // parametrised in mb
455 return xsection;
456}
457
458
459
460
461/////////////////////////////////////////////////////////////////////////////////////
462//
463// Returns nucleon-nucleon cross-section based on N. Starkov parametrisation of
464// data from mainly http://wwwppds.ihep.su:8001/c5-6A.html database
465// projectile nucleon is pParticle with pTkin shooting target nucleon tParticle
466
467G4double
468G4GGNuclNuclCrossSection::GetHadronNucleonXscNS( G4ParticleDefinition* pParticle,
469 G4double pTkin,
470 G4ParticleDefinition* tParticle)
471{
472 G4double xsection(0), Delta, A0, B0;
473 G4double hpXsc(0);
474 G4double hnXsc(0);
475
476
477 G4double targ_mass = tParticle->GetPDGMass();
478 G4double proj_mass = pParticle->GetPDGMass();
479
480 G4double proj_energy = proj_mass + pTkin;
481 G4double proj_momentum = std::sqrt(pTkin*(pTkin+2*proj_mass));
482
483 G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum );
484
485 sMand /= GeV*GeV; // in GeV for parametrisation
486 proj_momentum /= GeV;
487 proj_energy /= GeV;
488 proj_mass /= GeV;
489
490 // General PDG fit constants
491
492 // G4double s0 = 5.38*5.38; // in Gev^2
493 // G4double eta1 = 0.458;
494 // G4double eta2 = 0.458;
495 // G4double B = 0.308;
496
497
498
499
500
501 if( proj_momentum >= 10. ) // high energy: pp = nn = np
502 // if( proj_momentum >= 2.)
503 {
504 Delta = 1.;
505
506 if( proj_energy < 40. ) Delta = 0.916+0.0021*proj_energy;
507
508 if( proj_momentum >= 10.)
509 {
510 B0 = 7.5;
511 A0 = 100. - B0*std::log(3.0e7);
512
513 xsection = A0 + B0*std::log(proj_energy) - 11
514 + 103*std::pow(2*0.93827*proj_energy + proj_mass*proj_mass+
515 0.93827*0.93827,-0.165); // mb
516 }
517 }
518 else // low energy pp = nn != np
519 {
520 if(pParticle == tParticle) // pp or nn // nn to be pp
521 {
522 if( proj_momentum < 0.73 )
523 {
524 hnXsc = 23 + 50*( std::pow( std::log(0.73/proj_momentum), 3.5 ) );
525 }
526 else if( proj_momentum < 1.05 )
527 {
528 hnXsc = 23 + 40*(std::log(proj_momentum/0.73))*
529 (std::log(proj_momentum/0.73));
530 }
531 else // if( proj_momentum < 10. )
532 {
533 hnXsc = 39.0 +
534 75*(proj_momentum - 1.2)/(std::pow(proj_momentum,3.0) + 0.15);
535 }
536 xsection = hnXsc;
537 }
538 else // pn to be np
539 {
540 if( proj_momentum < 0.8 )
541 {
542 hpXsc = 33+30*std::pow(std::log(proj_momentum/1.3),4.0);
543 }
544 else if( proj_momentum < 1.4 )
545 {
546 hpXsc = 33+30*std::pow(std::log(proj_momentum/0.95),2.0);
547 }
548 else // if( proj_momentum < 10. )
549 {
550 hpXsc = 33.3+
551 20.8*(std::pow(proj_momentum,2.0)-1.35)/
552 (std::pow(proj_momentum,2.50)+0.95);
553 }
554 xsection = hpXsc;
555 }
556 }
557 xsection *= millibarn; // parametrised in mb
558 return xsection;
559}
560
561/*
562/////////////////////////////////////////////////////////////////////////////////////
563//
564// Returns hadron-nucleon inelastic cross-section based on proper parametrisation
565
566G4double
567G4GGNuclNuclCrossSection::GetHNinelasticXsc(const G4DynamicParticle* aParticle,
568 const G4Element* anElement )
569{
570 G4double At = anElement->GetN(); // number of nucleons
571 G4double Zt = anElement->GetZ(); // number of protons
572
573
574 return GetHNinelasticXsc( aParticle, At, Zt );
575}
576
577/////////////////////////////////////////////////////////////////////////////////////
578//
579// Returns hadron-nucleon inelastic cross-section based on FTF-parametrisation
580
581G4double
582G4GGNuclNuclCrossSection::GetHNinelasticXsc(const G4DynamicParticle* aParticle,
583 G4double At, G4double Zt )
584{
585 // G4ParticleDefinition* hadron = aParticle->GetDefinition();
586 G4double sumInelastic, Nt = At - Zt;
587
588 if(Nt < 0.) Nt = 0.;
589
590 sumInelastic = Zt*GetHadronNucleonXscMK(aParticle, theProton);
591 sumInelastic += Nt*GetHadronNucleonXscMK(aParticle, theNeutron);
592
593 return sumInelastic;
594}
595*/
596
597/////////////////////////////////////////////////////////////////////////////////////
598//
599// Returns hadron-nucleon inelastic cross-section based on FTF-parametrisation
600
601G4double
602G4GGNuclNuclCrossSection::GetHNinelasticXscVU(const G4DynamicParticle* aParticle,
603 G4double At, G4double Zt )
604{
605 G4int PDGcode = aParticle->GetDefinition()->GetPDGEncoding();
606 G4int absPDGcode = std::abs(PDGcode);
607
608 G4double Elab = aParticle->GetTotalEnergy();
609 // (s - 2*0.88*GeV*GeV)/(2*0.939*GeV)/GeV;
610 G4double Plab = aParticle->GetMomentum().mag();
611 // std::sqrt(Elab * Elab - 0.88);
612
613 Elab /= GeV;
614 Plab /= GeV;
615
616 G4double LogPlab = std::log( Plab );
617 G4double sqrLogPlab = LogPlab * LogPlab;
618
619 //G4cout<<"Plab = "<<Plab<<G4endl;
620
621 G4double NumberOfTargetProtons = Zt;
622 G4double NumberOfTargetNucleons = At;
623 G4double NumberOfTargetNeutrons = NumberOfTargetNucleons - NumberOfTargetProtons;
624
625 if(NumberOfTargetNeutrons < 0.) NumberOfTargetNeutrons = 0.;
626
627 G4double Xtotal = 0., Xelastic = 0., Xinelastic =0.;
628
629 if( absPDGcode > 1000 ) //------Projectile is baryon --------
630 {
631 G4double XtotPP = 48.0 + 0. *std::pow(Plab, 0. ) +
632 0.522*sqrLogPlab - 4.51*LogPlab;
633
634 G4double XtotPN = 47.3 + 0. *std::pow(Plab, 0. ) +
635 0.513*sqrLogPlab - 4.27*LogPlab;
636
637 G4double XelPP = 11.9 + 26.9*std::pow(Plab,-1.21) +
638 0.169*sqrLogPlab - 1.85*LogPlab;
639
640 G4double XelPN = 11.9 + 26.9*std::pow(Plab,-1.21) +
641 0.169*sqrLogPlab - 1.85*LogPlab;
642
643 Xtotal = ( NumberOfTargetProtons * XtotPP +
644 NumberOfTargetNeutrons * XtotPN );
645
646 Xelastic = ( NumberOfTargetProtons * XelPP +
647 NumberOfTargetNeutrons * XelPN );
648 }
649 Xinelastic = Xtotal - Xelastic;
650
651 if(Xinelastic < 0.) Xinelastic = 0.;
652
653 return Xinelastic*= millibarn;
654}
655
656/////////////////////////////////////////////////////////////////////////////////////
657//
658// Returns hadron-nucleon cross-section based on Mikhail Kossov CHIPS parametrisation of
659// data from G4QuasiFreeRatios class
660
661G4double
662G4GGNuclNuclCrossSection::GetHadronNucleonXscMK(G4ParticleDefinition* pParticle, G4double pTkin,
663 G4ParticleDefinition* nucleon )
664{
665 G4int I = -1;
666 G4int PDG = pParticle->GetPDGEncoding();
667 G4double totalXsc = 0;
668 G4double elasticXsc = 0;
669 G4double inelasticXsc;
670 // G4int absPDG = std::abs(PDG);
671
672 G4double pM = pParticle->GetPDGMass();
673 G4double p = std::sqrt(pTkin*(pTkin+2*pM))/GeV;
674
675 G4bool F = false;
676 if(nucleon == theProton) F = true;
677 else if(nucleon == theNeutron) F = false;
678 else
679 {
680 G4cout << "nucleon is not proton or neutron, return xsc for proton" << G4endl;
681 F = true;
682 }
683
684 G4bool kfl = true; // Flag of K0/aK0 oscillation
685 G4bool kf = false;
686
687 if( PDG == 130 || PDG == 310 )
688 {
689 kf = true;
690 if( G4UniformRand() > .5 ) kfl = false;
691 }
692 if ( (PDG == 2212 && F) || (PDG == 2112 && !F) ) I = 0; // pp/nn
693 else if( (PDG == 2112 && F) || (PDG == 2212 && !F) ) I = 1; // np/pn
694 else
695 {
696 G4cout<<"MK PDG = "<<PDG
697 <<", while it is defined only for p,n,hyperons,anti-baryons,pi,K/antiK"<<G4endl;
698 G4Exception("G4QuasiFreeRatio::FetchElTot:","22",FatalException,"CHIPScrash");
699 }
700
701 // Each parameter set can have not more than nPoints = 128 parameters
702
703 static const G4double lmi = 3.5; // min of (lnP-lmi)^2 parabola
704 static const G4double pbe = .0557; // elastic (lnP-lmi)^2 parabola coefficient
705 static const G4double pbt = .3; // total (lnP-lmi)^2 parabola coefficient
706 static const G4double pmi = .1; // Below that fast LE calculation is made
707 static const G4double pma = 1000.; // Above that fast HE calculation is made
708
709 if( p <= 0.)
710 {
711 G4cout<<" p = "<<p<<" is zero or negative"<<G4endl;
712
713 elasticXsc = 0.;
714 inelasticXsc = 0.;
715 totalXsc = 0.;
716
717 return totalXsc;
718 }
719 if (!I) // pp/nn
720 {
721 if( p < pmi )
722 {
723 G4double p2 = p*p;
724 elasticXsc = 1./(.00012 + p2*.2);
725 totalXsc = elasticXsc;
726 }
727 else if(p>pma)
728 {
729 G4double lp = std::log(p)-lmi;
730 G4double lp2 = lp*lp;
731 elasticXsc = pbe*lp2 + 6.72;
732 totalXsc = pbt*lp2 + 38.2;
733 }
734 else
735 {
736 G4double p2 = p*p;
737 G4double LE = 1./( .00012 + p2*.2);
738 G4double lp = std::log(p) - lmi;
739 G4double lp2 = lp*lp;
740 G4double rp2 = 1./p2;
741 elasticXsc = LE + ( pbe*lp2 + 6.72+32.6/p)/( 1. + rp2/p);
742 totalXsc = LE + ( pbt*lp2 + 38.2+52.7*rp2)/( 1. + 2.72*rp2*rp2);
743 }
744 }
745 else if( I==1 ) // np/pn
746 {
747 if( p < pmi )
748 {
749 G4double p2 = p*p;
750 elasticXsc = 1./( .00012 + p2*( .051 + .1*p2));
751 totalXsc = elasticXsc;
752 }
753 else if( p > pma )
754 {
755 G4double lp = std::log(p) - lmi;
756 G4double lp2 = lp*lp;
757 elasticXsc = pbe*lp2 + 6.72;
758 totalXsc = pbt*lp2 + 38.2;
759 }
760 else
761 {
762 G4double p2 = p*p;
763 G4double LE = 1./( .00012 + p2*( .051 + .1*p2 ) );
764 G4double lp = std::log(p) - lmi;
765 G4double lp2 = lp*lp;
766 G4double rp2 = 1./p2;
767 elasticXsc = LE + (pbe*lp2 + 6.72 + 30./p)/( 1. + .49*rp2/p);
768 totalXsc = LE + (pbt*lp2 + 38.2)/( 1. + .54*rp2*rp2);
769 }
770 }
771 else
772 {
773 G4cout<<"PDG incoding = "<<I<<" is not defined (0-1)"<<G4endl;
774
775 }
776 if( elasticXsc > totalXsc ) elasticXsc = totalXsc;
777
778 totalXsc *= millibarn;
779 elasticXsc *= millibarn;
780 inelasticXsc = totalXsc - elasticXsc;
781 if (inelasticXsc < 0.) inelasticXsc = 0.;
782
783 return inelasticXsc;
784}
785
786////////////////////////////////////////////////////////////////////////////////////
787//
788//
789
790G4double
791G4GGNuclNuclCrossSection::GetNucleusRadius( const G4DynamicParticle* ,
792 const G4Element* anElement)
793{
794 G4double At = anElement->GetN();
795 G4double oneThird = 1.0/3.0;
796 G4double cubicrAt = std::pow (At, oneThird);
797
798
799 G4double R; // = fRadiusConst*cubicrAt;
800 /*
801 G4double tmp = std::pow( cubicrAt-1., 3.);
802 tmp += At;
803 tmp *= 0.5;
804
805 if (At > 20.) // 20.
806 {
807 R = fRadiusConst*std::pow (tmp, oneThird);
808 }
809 else
810 {
811 R = fRadiusConst*cubicrAt;
812 }
813 */
814
815 R = fRadiusConst*cubicrAt;
816
817 // return R; // !!!!
818
819
820
821 G4double meanA = 21.;
822
823 G4double tauA1 = 40.;
824 G4double tauA2 = 10.;
825 G4double tauA3 = 5.;
826
827 G4double a1 = 0.85;
828 G4double b1 = 1. - a1;
829
830 G4double b2 = 0.3;
831 G4double b3 = 4.;
832
833 if (At > 20.) // 20.
834 {
835 R *= ( a1 + b1*std::exp( -(At - meanA)/tauA1) );
836 }
837 else if (At > 3.5)
838 {
839 R *= ( 1.0 + b2*( 1. - std::exp( (At - meanA)/tauA2) ) );
840 }
841 else
842 {
843 R *= ( 1.0 + b3*( 1. - std::exp( (At - meanA)/tauA3) ) );
844 }
845 return R;
846
847}
848
849////////////////////////////////////////////////////////////////////////////////////
850//
851//
852
853G4double
854G4GGNuclNuclCrossSection::GetNucleusRadius(G4double At)
855{
856 G4double R;
857
858 // R = GetNucleusRadiusGG(At);
859
860 R = GetNucleusRadiusDE(At);
861
862 return R;
863}
864
865///////////////////////////////////////////////////////////////////
866
867G4double
868G4GGNuclNuclCrossSection::GetNucleusRadiusGG(G4double At)
869{
870
871 G4double oneThird = 1.0/3.0;
872 G4double cubicrAt = std::pow (At, oneThird);
873
874
875 G4double R; // = fRadiusConst*cubicrAt;
876
877 /*
878 G4double tmp = std::pow( cubicrAt-1., 3.);
879 tmp += At;
880 tmp *= 0.5;
881
882 if (At > 20.)
883 {
884 R = fRadiusConst*std::pow (tmp, oneThird);
885 }
886 else
887 {
888 R = fRadiusConst*cubicrAt;
889 }
890 */
891
892 R = fRadiusConst*cubicrAt;
893
894 G4double meanA = 20.;
895 G4double tauA = 20.;
896
897 if ( At > 20.) // 20.
898 {
899 R *= ( 0.8 + 0.2*std::exp( -(At - meanA)/tauA) );
900 }
901 else
902 {
903 R *= ( 1.0 + 0.1*( 1. - std::exp( (At - meanA)/tauA) ) );
904 }
905
906 return R;
907
908}
909
910
911G4double
912G4GGNuclNuclCrossSection::GetNucleusRadiusDE(G4double A)
913{
914
915 // algorithm from diffuse-elastic
916
917 G4double R, r0, a11, a12, a13, a2, a3;
918
919 a11 = 1.26; // 1.08, 1.16
920 a12 = 1.; // 1.08, 1.16
921 a13 = 1.12; // 1.08, 1.16
922 a2 = 1.1;
923 a3 = 1.;
924
925
926 if( A < 50. )
927 {
928 if( 10 < A && A <= 15. ) r0 = a11*( 1 - std::pow(A, -2./3.) )*fermi; // 1.08*fermi;
929 else if( 15 < A && A <= 20 ) r0 = a12*( 1 - std::pow(A, -2./3.) )*fermi;
930 else if( 20 < A && A <= 30 ) r0 = a13*( 1 - std::pow(A, -2./3.) )*fermi;
931 else r0 = a2*fermi;
932
933 R = r0*std::pow( A, 1./3. );
934 }
935 else
936 {
937 r0 = a3*fermi;
938
939 R = r0*std::pow(A, 0.27);
940 }
941 return R;
942
943
944
945}
946
947
948
949
950
951
952////////////////////////////////////////////////////////////////////////////////////
953//
954//
955
956G4double G4GGNuclNuclCrossSection::CalculateEcmValue( const G4double mp ,
957 const G4double mt ,
958 const G4double Plab )
959{
960 G4double Elab = std::sqrt ( mp * mp + Plab * Plab );
961 G4double Ecm = std::sqrt ( mp * mp + mt * mt + 2 * Elab * mt );
962 // G4double Pcm = Plab * mt / Ecm;
963 // G4double KEcm = std::sqrt ( Pcm * Pcm + mp * mp ) - mp;
964
965 return Ecm ; // KEcm;
966}
967
968
969////////////////////////////////////////////////////////////////////////////////////
970//
971//
972
973G4double G4GGNuclNuclCrossSection::CalcMandelstamS( const G4double mp ,
974 const G4double mt ,
975 const G4double Plab )
976{
977 G4double Elab = std::sqrt ( mp * mp + Plab * Plab );
978 G4double sMand = mp*mp + mt*mt + 2*Elab*mt ;
979
980 return sMand;
981}
982
983
984//
985//
986///////////////////////////////////////////////////////////////////////////////////////
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