Geant4 10.7.0
Toolkit for the simulation of the passage of particles through matter
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G4NuclNuclDiffuseElastic.cc
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25//
26//
27//
28// Physics model class G4NuclNuclDiffuseElastic
29//
30//
31// G4 Model: optical diffuse elastic scattering with 4-momentum balance
32//
33// 24-May-07 V. Grichine
34//
35
36#include "G4NuclNuclDiffuseElastic.hh"
37#include "G4ParticleTable.hh"
38#include "G4ParticleDefinition.hh"
39#include "G4IonTable.hh"
40#include "G4NucleiProperties.hh"
41
42#include "Randomize.hh"
43#include "G4Integrator.hh"
44#include "globals.hh"
45#include "G4PhysicalConstants.hh"
46#include "G4SystemOfUnits.hh"
47
48#include "G4Proton.hh"
49#include "G4Neutron.hh"
50#include "G4Deuteron.hh"
51#include "G4Alpha.hh"
52#include "G4PionPlus.hh"
53#include "G4PionMinus.hh"
54
55#include "G4Element.hh"
56#include "G4ElementTable.hh"
57#include "G4NistManager.hh"
58#include "G4PhysicsTable.hh"
59#include "G4PhysicsLogVector.hh"
60#include "G4PhysicsFreeVector.hh"
61#include "G4HadronicParameters.hh"
62
63/////////////////////////////////////////////////////////////////////////
64//
65// Test Constructor. Just to check xsc
66
67
68G4NuclNuclDiffuseElastic::G4NuclNuclDiffuseElastic()
69 : G4HadronElastic("NNDiffuseElastic"), fParticle(0)
70{
71 SetMinEnergy( 50*MeV );
72 SetMaxEnergy( G4HadronicParameters::Instance()->GetMaxEnergy() );
73 verboseLevel = 0;
74 lowEnergyRecoilLimit = 100.*keV;
75 lowEnergyLimitQ = 0.0*GeV;
76 lowEnergyLimitHE = 0.0*GeV;
77 lowestEnergyLimit= 0.0*keV;
78 plabLowLimit = 20.0*MeV;
79
80 theProton = G4Proton::Proton();
81 theNeutron = G4Neutron::Neutron();
82 theDeuteron = G4Deuteron::Deuteron();
83 theAlpha = G4Alpha::Alpha();
84 thePionPlus = G4PionPlus::PionPlus();
85 thePionMinus= G4PionMinus::PionMinus();
86
87 fEnergyBin = 300; // Increased from the original 200 to have no wider log-energy-bins up to 10 PeV
88 fAngleBin = 200;
89
90 fEnergyVector = new G4PhysicsLogVector( theMinEnergy, theMaxEnergy, fEnergyBin );
91 fAngleTable = 0;
92
93 fParticle = 0;
94 fWaveVector = 0.;
95 fAtomicWeight = 0.;
96 fAtomicNumber = 0.;
97 fNuclearRadius = 0.;
98 fBeta = 0.;
99 fZommerfeld = 0.;
100 fAm = 0.;
101 fAddCoulomb = false;
102 // Ranges of angle table relative to current Rutherford (Coulomb grazing) angle
103
104 // Empirical parameters
105
106 fCofAlphaMax = 1.5;
107 fCofAlphaCoulomb = 0.5;
108
109 fProfileDelta = 1.;
110 fProfileAlpha = 0.5;
111
112 fCofLambda = 1.0;
113 fCofDelta = 0.04;
114 fCofAlpha = 0.095;
115
116 fNuclearRadius1 = fNuclearRadius2 = fNuclearRadiusSquare
117 = fRutherfordRatio = fCoulombPhase0 = fHalfRutThetaTg = fHalfRutThetaTg2
118 = fRutherfordTheta = fProfileLambda = fCofPhase = fCofFar
119 = fSumSigma = fEtaRatio = fReZ = 0.0;
120 fMaxL = 0;
121
122 fNuclearRadiusCof = 1.0;
123 fCoulombMuC = 0.0;
124}
125
126//////////////////////////////////////////////////////////////////////////////
127//
128// Destructor
129
130G4NuclNuclDiffuseElastic::~G4NuclNuclDiffuseElastic()
131{
132 if ( fEnergyVector ) {
133 delete fEnergyVector;
134 fEnergyVector = 0;
135 }
136
137 for ( std::vector<G4PhysicsTable*>::iterator it = fAngleBank.begin();
138 it != fAngleBank.end(); ++it ) {
139 if ( (*it) ) (*it)->clearAndDestroy();
140 delete *it;
141 *it = 0;
142 }
143 fAngleTable = 0;
144}
145
146//////////////////////////////////////////////////////////////////////////////
147//
148// Initialisation for given particle using element table of application
149
150void G4NuclNuclDiffuseElastic::Initialise()
151{
152
153 // fEnergyVector = new G4PhysicsLogVector( theMinEnergy, theMaxEnergy, fEnergyBin );
154
155 const G4ElementTable* theElementTable = G4Element::GetElementTable();
156 size_t jEl, numOfEl = G4Element::GetNumberOfElements();
157
158 // projectile radius
159
160 G4double A1 = G4double( fParticle->GetBaryonNumber() );
161 G4double R1 = CalculateNuclearRad(A1);
162
163 for(jEl = 0 ; jEl < numOfEl; ++jEl) // application element loop
164 {
165 fAtomicNumber = (*theElementTable)[jEl]->GetZ(); // atomic number
166 fAtomicWeight = G4NistManager::Instance()->GetAtomicMassAmu( static_cast< G4int >( fAtomicNumber ) );
167
168 fNuclearRadius = CalculateNuclearRad(fAtomicWeight);
169 fNuclearRadius += R1;
170
171 if(verboseLevel > 0)
172 {
173 G4cout<<"G4NuclNuclDiffuseElastic::Initialise() the element: "
174 <<(*theElementTable)[jEl]->GetName()<<G4endl;
175 }
176 fElementNumberVector.push_back(fAtomicNumber);
177 fElementNameVector.push_back((*theElementTable)[jEl]->GetName());
178
179 BuildAngleTable();
180 fAngleBank.push_back(fAngleTable);
181 }
182}
183
184
185////////////////////////////////////////////////////////////////////////////
186//
187// return differential elastic cross section d(sigma)/d(omega)
188
189G4double
190G4NuclNuclDiffuseElastic::GetDiffuseElasticXsc( const G4ParticleDefinition* particle,
191 G4double theta,
192 G4double momentum,
193 G4double A )
194{
195 fParticle = particle;
196 fWaveVector = momentum/hbarc;
197 fAtomicWeight = A;
198 fAddCoulomb = false;
199 fNuclearRadius = CalculateNuclearRad(A);
200
201 G4double sigma = fNuclearRadius*fNuclearRadius*GetDiffElasticProb(theta);
202
203 return sigma;
204}
205
206////////////////////////////////////////////////////////////////////////////
207//
208// return invariant differential elastic cross section d(sigma)/d(tMand)
209
210G4double
211G4NuclNuclDiffuseElastic::GetInvElasticXsc( const G4ParticleDefinition* particle,
212 G4double tMand,
213 G4double plab,
214 G4double A, G4double Z )
215{
216 G4double m1 = particle->GetPDGMass();
217 G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1));
218
219 G4int iZ = static_cast<G4int>(Z+0.5);
220 G4int iA = static_cast<G4int>(A+0.5);
221 G4ParticleDefinition * theDef = 0;
222
223 if (iZ == 1 && iA == 1) theDef = theProton;
224 else if (iZ == 1 && iA == 2) theDef = theDeuteron;
225 else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton();
226 else if (iZ == 2 && iA == 3) theDef = G4He3::He3();
227 else if (iZ == 2 && iA == 4) theDef = theAlpha;
228 else theDef = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(iZ,iA,0);
229
230 G4double tmass = theDef->GetPDGMass();
231
232 G4LorentzVector lv(0.0,0.0,0.0,tmass);
233 lv += lv1;
234
235 G4ThreeVector bst = lv.boostVector();
236 lv1.boost(-bst);
237
238 G4ThreeVector p1 = lv1.vect();
239 G4double ptot = p1.mag();
240 G4double ptot2 = ptot*ptot;
241 G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2;
242
243 if( cost >= 1.0 ) cost = 1.0;
244 else if( cost <= -1.0) cost = -1.0;
245
246 G4double thetaCMS = std::acos(cost);
247
248 G4double sigma = GetDiffuseElasticXsc( particle, thetaCMS, ptot, A);
249
250 sigma *= pi/ptot2;
251
252 return sigma;
253}
254
255////////////////////////////////////////////////////////////////////////////
256//
257// return differential elastic cross section d(sigma)/d(omega) with Coulomb
258// correction
259
260G4double
261G4NuclNuclDiffuseElastic::GetDiffuseElasticSumXsc( const G4ParticleDefinition* particle,
262 G4double theta,
263 G4double momentum,
264 G4double A, G4double Z )
265{
266 fParticle = particle;
267 fWaveVector = momentum/hbarc;
268 fAtomicWeight = A;
269 fAtomicNumber = Z;
270 fNuclearRadius = CalculateNuclearRad(A);
271 fAddCoulomb = false;
272
273 G4double z = particle->GetPDGCharge();
274
275 G4double kRt = fWaveVector*fNuclearRadius*theta;
276 G4double kRtC = 1.9;
277
278 if( z && (kRt > kRtC) )
279 {
280 fAddCoulomb = true;
281 fBeta = CalculateParticleBeta( particle, momentum);
282 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
283 fAm = CalculateAm( momentum, fZommerfeld, fAtomicNumber);
284 }
285 G4double sigma = fNuclearRadius*fNuclearRadius*GetDiffElasticSumProb(theta);
286
287 return sigma;
288}
289
290////////////////////////////////////////////////////////////////////////////
291//
292// return invariant differential elastic cross section d(sigma)/d(tMand) with Coulomb
293// correction
294
295G4double
296G4NuclNuclDiffuseElastic::GetInvElasticSumXsc( const G4ParticleDefinition* particle,
297 G4double tMand,
298 G4double plab,
299 G4double A, G4double Z )
300{
301 G4double m1 = particle->GetPDGMass();
302
303 G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1));
304
305 G4int iZ = static_cast<G4int>(Z+0.5);
306 G4int iA = static_cast<G4int>(A+0.5);
307
308 G4ParticleDefinition* theDef = 0;
309
310 if (iZ == 1 && iA == 1) theDef = theProton;
311 else if (iZ == 1 && iA == 2) theDef = theDeuteron;
312 else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton();
313 else if (iZ == 2 && iA == 3) theDef = G4He3::He3();
314 else if (iZ == 2 && iA == 4) theDef = theAlpha;
315 else theDef = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(iZ,iA,0);
316
317 G4double tmass = theDef->GetPDGMass();
318
319 G4LorentzVector lv(0.0,0.0,0.0,tmass);
320 lv += lv1;
321
322 G4ThreeVector bst = lv.boostVector();
323 lv1.boost(-bst);
324
325 G4ThreeVector p1 = lv1.vect();
326 G4double ptot = p1.mag();
327 G4double ptot2 = ptot*ptot;
328 G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2;
329
330 if( cost >= 1.0 ) cost = 1.0;
331 else if( cost <= -1.0) cost = -1.0;
332
333 G4double thetaCMS = std::acos(cost);
334
335 G4double sigma = GetDiffuseElasticSumXsc( particle, thetaCMS, ptot, A, Z );
336
337 sigma *= pi/ptot2;
338
339 return sigma;
340}
341
342////////////////////////////////////////////////////////////////////////////
343//
344// return invariant differential elastic cross section d(sigma)/d(tMand) with Coulomb
345// correction
346
347G4double
348G4NuclNuclDiffuseElastic::GetInvCoulombElasticXsc( const G4ParticleDefinition* particle,
349 G4double tMand,
350 G4double plab,
351 G4double A, G4double Z )
352{
353 G4double m1 = particle->GetPDGMass();
354 G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1));
355
356 G4int iZ = static_cast<G4int>(Z+0.5);
357 G4int iA = static_cast<G4int>(A+0.5);
358 G4ParticleDefinition * theDef = 0;
359
360 if (iZ == 1 && iA == 1) theDef = theProton;
361 else if (iZ == 1 && iA == 2) theDef = theDeuteron;
362 else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton();
363 else if (iZ == 2 && iA == 3) theDef = G4He3::He3();
364 else if (iZ == 2 && iA == 4) theDef = theAlpha;
365 else theDef = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(iZ,iA,0);
366
367 G4double tmass = theDef->GetPDGMass();
368
369 G4LorentzVector lv(0.0,0.0,0.0,tmass);
370 lv += lv1;
371
372 G4ThreeVector bst = lv.boostVector();
373 lv1.boost(-bst);
374
375 G4ThreeVector p1 = lv1.vect();
376 G4double ptot = p1.mag();
377 G4double ptot2 = ptot*ptot;
378 G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2;
379
380 if( cost >= 1.0 ) cost = 1.0;
381 else if( cost <= -1.0) cost = -1.0;
382
383 G4double thetaCMS = std::acos(cost);
384
385 G4double sigma = GetCoulombElasticXsc( particle, thetaCMS, ptot, Z );
386
387 sigma *= pi/ptot2;
388
389 return sigma;
390}
391
392////////////////////////////////////////////////////////////////////////////
393//
394// return differential elastic probability d(probability)/d(omega)
395
396G4double
397G4NuclNuclDiffuseElastic::GetDiffElasticProb( // G4ParticleDefinition* particle,
398 G4double theta
399 // G4double momentum,
400 // G4double A
401 )
402{
403 G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2;
404 G4double delta, diffuse, gamma;
405 G4double e1, e2, bone, bone2;
406
407 // G4double wavek = momentum/hbarc; // wave vector
408 // G4double r0 = 1.08*fermi;
409 // G4double rad = r0*G4Pow::GetInstance()->A13(A);
410
411 G4double kr = fWaveVector*fNuclearRadius; // wavek*rad;
412 G4double kr2 = kr*kr;
413 G4double krt = kr*theta;
414
415 bzero = BesselJzero(krt);
416 bzero2 = bzero*bzero;
417 bone = BesselJone(krt);
418 bone2 = bone*bone;
419 bonebyarg = BesselOneByArg(krt);
420 bonebyarg2 = bonebyarg*bonebyarg;
421
422 // VI - Coverity complains
423 /*
424 if (fParticle == theProton)
425 {
426 diffuse = 0.63*fermi;
427 gamma = 0.3*fermi;
428 delta = 0.1*fermi*fermi;
429 e1 = 0.3*fermi;
430 e2 = 0.35*fermi;
431 }
432 else // as proton, if were not defined
433 {
434 */
435 diffuse = 0.63*fermi;
436 gamma = 0.3*fermi;
437 delta = 0.1*fermi*fermi;
438 e1 = 0.3*fermi;
439 e2 = 0.35*fermi;
440 //}
441 G4double lambda = 15.; // 15 ok
442
443 // G4double kgamma = fWaveVector*gamma; // wavek*delta;
444
445 G4double kgamma = lambda*(1.-G4Exp(-fWaveVector*gamma/lambda)); // wavek*delta;
446 G4double kgamma2 = kgamma*kgamma;
447
448 // G4double dk2t = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta;
449 // G4double dk2t2 = dk2t*dk2t;
450 // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta;
451
452 G4double pikdt = lambda*(1.-G4Exp(-pi*fWaveVector*diffuse*theta/lambda)); // wavek*delta;
453
454 damp = DampFactor(pikdt);
455 damp2 = damp*damp;
456
457 G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector;
458 G4double e2dk3t = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta;
459
460
461 sigma = kgamma2;
462 // sigma += dk2t2;
463 sigma *= bzero2;
464 sigma += mode2k2*bone2 + e2dk3t*bzero*bone;
465 sigma += kr2*bonebyarg2;
466 sigma *= damp2; // *rad*rad;
467
468 return sigma;
469}
470
471////////////////////////////////////////////////////////////////////////////
472//
473// return differential elastic probability d(probability)/d(omega) with
474// Coulomb correction
475
476G4double
477G4NuclNuclDiffuseElastic::GetDiffElasticSumProb( // G4ParticleDefinition* particle,
478 G4double theta
479 // G4double momentum,
480 // G4double A
481 )
482{
483 G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2;
484 G4double delta, diffuse, gamma;
485 G4double e1, e2, bone, bone2;
486
487 // G4double wavek = momentum/hbarc; // wave vector
488 // G4double r0 = 1.08*fermi;
489 // G4double rad = r0*G4Pow::GetInstance()->A13(A);
490
491 G4double kr = fWaveVector*fNuclearRadius; // wavek*rad;
492 G4double kr2 = kr*kr;
493 G4double krt = kr*theta;
494
495 bzero = BesselJzero(krt);
496 bzero2 = bzero*bzero;
497 bone = BesselJone(krt);
498 bone2 = bone*bone;
499 bonebyarg = BesselOneByArg(krt);
500 bonebyarg2 = bonebyarg*bonebyarg;
501
502 if (fParticle == theProton)
503 {
504 diffuse = 0.63*fermi;
505 // diffuse = 0.6*fermi;
506 gamma = 0.3*fermi;
507 delta = 0.1*fermi*fermi;
508 e1 = 0.3*fermi;
509 e2 = 0.35*fermi;
510 }
511 else // as proton, if were not defined
512 {
513 diffuse = 0.63*fermi;
514 gamma = 0.3*fermi;
515 delta = 0.1*fermi*fermi;
516 e1 = 0.3*fermi;
517 e2 = 0.35*fermi;
518 }
519 G4double lambda = 15.; // 15 ok
520 // G4double kgamma = fWaveVector*gamma; // wavek*delta;
521 G4double kgamma = lambda*(1.-G4Exp(-fWaveVector*gamma/lambda)); // wavek*delta;
522
523 // G4cout<<"kgamma = "<<kgamma<<G4endl;
524
525 if(fAddCoulomb) // add Coulomb correction
526 {
527 G4double sinHalfTheta = std::sin(0.5*theta);
528 G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta;
529
530 kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
531 // kgamma += 0.65*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
532 }
533
534 G4double kgamma2 = kgamma*kgamma;
535
536 // G4double dk2t = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta;
537 // G4cout<<"dk2t = "<<dk2t<<G4endl;
538 // G4double dk2t2 = dk2t*dk2t;
539 // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta;
540
541 G4double pikdt = lambda*(1.-G4Exp(-pi*fWaveVector*diffuse*theta/lambda)); // wavek*delta;
542
543 // G4cout<<"pikdt = "<<pikdt<<G4endl;
544
545 damp = DampFactor(pikdt);
546 damp2 = damp*damp;
547
548 G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector;
549 G4double e2dk3t = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta;
550
551 sigma = kgamma2;
552 // sigma += dk2t2;
553 sigma *= bzero2;
554 sigma += mode2k2*bone2;
555 sigma += e2dk3t*bzero*bone;
556
557 // sigma += kr2*(1 + 8.*fZommerfeld*fZommerfeld/kr2)*bonebyarg2; // correction at J1()/()
558 sigma += kr2*bonebyarg2; // correction at J1()/()
559
560 sigma *= damp2; // *rad*rad;
561
562 return sigma;
563}
564
565
566////////////////////////////////////////////////////////////////////////////
567//
568// return differential elastic probability d(probability)/d(t) with
569// Coulomb correction
570
571G4double
572G4NuclNuclDiffuseElastic::GetDiffElasticSumProbA( G4double alpha )
573{
574 G4double theta;
575
576 theta = std::sqrt(alpha);
577
578 // theta = std::acos( 1 - alpha/2. );
579
580 G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2;
581 G4double delta, diffuse, gamma;
582 G4double e1, e2, bone, bone2;
583
584 // G4double wavek = momentum/hbarc; // wave vector
585 // G4double r0 = 1.08*fermi;
586 // G4double rad = r0*G4Pow::GetInstance()->A13(A);
587
588 G4double kr = fWaveVector*fNuclearRadius; // wavek*rad;
589 G4double kr2 = kr*kr;
590 G4double krt = kr*theta;
591
592 bzero = BesselJzero(krt);
593 bzero2 = bzero*bzero;
594 bone = BesselJone(krt);
595 bone2 = bone*bone;
596 bonebyarg = BesselOneByArg(krt);
597 bonebyarg2 = bonebyarg*bonebyarg;
598
599 if (fParticle == theProton)
600 {
601 diffuse = 0.63*fermi;
602 // diffuse = 0.6*fermi;
603 gamma = 0.3*fermi;
604 delta = 0.1*fermi*fermi;
605 e1 = 0.3*fermi;
606 e2 = 0.35*fermi;
607 }
608 else // as proton, if were not defined
609 {
610 diffuse = 0.63*fermi;
611 gamma = 0.3*fermi;
612 delta = 0.1*fermi*fermi;
613 e1 = 0.3*fermi;
614 e2 = 0.35*fermi;
615 }
616 G4double lambda = 15.; // 15 ok
617 // G4double kgamma = fWaveVector*gamma; // wavek*delta;
618 G4double kgamma = lambda*(1.-G4Exp(-fWaveVector*gamma/lambda)); // wavek*delta;
619
620 // G4cout<<"kgamma = "<<kgamma<<G4endl;
621
622 if(fAddCoulomb) // add Coulomb correction
623 {
624 G4double sinHalfTheta = theta*0.5; // std::sin(0.5*theta);
625 G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta;
626
627 kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
628 // kgamma += 0.65*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
629 }
630
631 G4double kgamma2 = kgamma*kgamma;
632
633 // G4double dk2t = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta;
634 // G4cout<<"dk2t = "<<dk2t<<G4endl;
635 // G4double dk2t2 = dk2t*dk2t;
636 // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta;
637
638 G4double pikdt = lambda*(1.-G4Exp(-pi*fWaveVector*diffuse*theta/lambda)); // wavek*delta;
639
640 // G4cout<<"pikdt = "<<pikdt<<G4endl;
641
642 damp = DampFactor(pikdt);
643 damp2 = damp*damp;
644
645 G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector;
646 G4double e2dk3t = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta;
647
648 sigma = kgamma2;
649 // sigma += dk2t2;
650 sigma *= bzero2;
651 sigma += mode2k2*bone2;
652 sigma += e2dk3t*bzero*bone;
653
654 // sigma += kr2*(1 + 8.*fZommerfeld*fZommerfeld/kr2)*bonebyarg2; // correction at J1()/()
655 sigma += kr2*bonebyarg2; // correction at J1()/()
656
657 sigma *= damp2; // *rad*rad;
658
659 return sigma;
660}
661
662
663////////////////////////////////////////////////////////////////////////////
664//
665// return differential elastic probability 2*pi*sin(theta)*d(probability)/d(omega)
666
667G4double
668G4NuclNuclDiffuseElastic::GetIntegrandFunction( G4double alpha )
669{
670 G4double result;
671
672 result = GetDiffElasticSumProbA(alpha);
673
674 // result *= 2*pi*std::sin(theta);
675
676 return result;
677}
678
679////////////////////////////////////////////////////////////////////////////
680//
681// return integral elastic cross section d(sigma)/d(omega) integrated 0 - theta
682
683G4double
684G4NuclNuclDiffuseElastic::IntegralElasticProb( const G4ParticleDefinition* particle,
685 G4double theta,
686 G4double momentum,
687 G4double A )
688{
689 G4double result;
690 fParticle = particle;
691 fWaveVector = momentum/hbarc;
692 fAtomicWeight = A;
693
694 fNuclearRadius = CalculateNuclearRad(A);
695
696
697 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
698
699 // result = integral.Legendre10(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., theta );
700 result = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., theta );
701
702 return result;
703}
704
705////////////////////////////////////////////////////////////////////////////
706//
707// Return inv momentum transfer -t > 0
708
709G4double G4NuclNuclDiffuseElastic::SampleT( const G4ParticleDefinition* aParticle,
710 G4double p, G4double A)
711{
712 G4double theta = SampleThetaCMS( aParticle, p, A); // sample theta in cms
713 G4double t = 2*p*p*( 1 - std::cos(theta) ); // -t !!!
714 return t;
715}
716
717////////////////////////////////////////////////////////////////////////////
718//
719// Return scattering angle sampled in cms
720
721
722G4double
723G4NuclNuclDiffuseElastic::SampleThetaCMS(const G4ParticleDefinition* particle,
724 G4double momentum, G4double A)
725{
726 G4int i, iMax = 100;
727 G4double norm, result, theta1, theta2, thetaMax, sum = 0.;
728
729 fParticle = particle;
730 fWaveVector = momentum/hbarc;
731 fAtomicWeight = A;
732
733 fNuclearRadius = CalculateNuclearRad(A);
734
735 thetaMax = 10.174/fWaveVector/fNuclearRadius;
736
737 if (thetaMax > pi) thetaMax = pi;
738
739 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
740
741 // result = integral.Legendre10(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., theta );
742 norm = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., thetaMax );
743
744 norm *= G4UniformRand();
745
746 for(i = 1; i <= iMax; i++)
747 {
748 theta1 = (i-1)*thetaMax/iMax;
749 theta2 = i*thetaMax/iMax;
750 sum += integral.Legendre10(this,&G4NuclNuclDiffuseElastic::GetIntegrandFunction, theta1, theta2);
751
752 if ( sum >= norm )
753 {
754 result = 0.5*(theta1 + theta2);
755 break;
756 }
757 }
758 if (i > iMax ) result = 0.5*(theta1 + theta2);
759
760 G4double sigma = pi*thetaMax/iMax;
761
762 result += G4RandGauss::shoot(0.,sigma);
763
764 if(result < 0.) result = 0.;
765 if(result > thetaMax) result = thetaMax;
766
767 return result;
768}
769
770/////////////////////////////////////////////////////////////////////////////
771///////////////////// Table preparation and reading ////////////////////////
772
773////////////////////////////////////////////////////////////////////////////
774//
775// Interface function. Return inv momentum transfer -t > 0 from initialisation table
776
777G4double G4NuclNuclDiffuseElastic::SampleInvariantT( const G4ParticleDefinition* aParticle, G4double p,
778 G4int Z, G4int A)
779{
780 fParticle = aParticle;
781 fAtomicNumber = G4double(Z);
782 fAtomicWeight = G4double(A);
783
784 G4double t(0.), m1 = fParticle->GetPDGMass();
785 G4double totElab = std::sqrt(m1*m1+p*p);
786 G4double mass2 = G4NucleiProperties::GetNuclearMass(A, Z);
787 G4LorentzVector lv1(p,0.0,0.0,totElab);
788 G4LorentzVector lv(0.0,0.0,0.0,mass2);
789 lv += lv1;
790
791 G4ThreeVector bst = lv.boostVector();
792 lv1.boost(-bst);
793
794 G4ThreeVector p1 = lv1.vect();
795 G4double momentumCMS = p1.mag();
796
797 // t = SampleTableT( aParticle, momentumCMS, G4double(Z), G4double(A) ); // sample theta2 in cms
798
799 t = SampleCoulombMuCMS( aParticle, momentumCMS); // sample theta2 in cms
800
801
802 return t;
803}
804
805////////////////////////////////////////////////////////////////////////////
806//
807// Return inv momentum transfer -t > 0 as Coulomb scattering <= thetaC
808
809G4double G4NuclNuclDiffuseElastic::SampleCoulombMuCMS( const G4ParticleDefinition* aParticle, G4double p)
810{
811 G4double t(0.), rand(0.), mu(0.);
812
813 G4double A1 = G4double( aParticle->GetBaryonNumber() );
814 G4double R1 = CalculateNuclearRad(A1);
815
816 fNuclearRadius = CalculateNuclearRad(fAtomicWeight);
817 fNuclearRadius += R1;
818
819 InitDynParameters(fParticle, p);
820
821 fCoulombMuC = fHalfRutThetaTg2/(1.+fHalfRutThetaTg2);
822
823 rand = G4UniformRand();
824
825 // sample (1-cosTheta) in 0 < Theta < ThetaC as Coulomb scattering
826
827 mu = fCoulombMuC*rand*fAm;
828 mu /= fAm + fCoulombMuC*( 1. - rand );
829
830 t = 4.*p*p*mu;
831
832 return t;
833}
834
835
836////////////////////////////////////////////////////////////////////////////
837//
838// Return inv momentum transfer -t > 0 from initialisation table
839
840G4double G4NuclNuclDiffuseElastic::SampleTableT( const G4ParticleDefinition* aParticle, G4double p,
841 G4double Z, G4double A)
842{
843 G4double alpha = SampleTableThetaCMS( aParticle, p, Z, A); // sample theta2 in cms
844 // G4double t = 2*p*p*( 1 - std::cos(std::sqrt(alpha)) ); // -t !!!
845 G4double t = p*p*alpha; // -t !!!
846 return t;
847}
848
849////////////////////////////////////////////////////////////////////////////
850//
851// Return scattering angle2 sampled in cms according to precalculated table.
852
853
854G4double
855G4NuclNuclDiffuseElastic::SampleTableThetaCMS(const G4ParticleDefinition* particle,
856 G4double momentum, G4double Z, G4double A)
857{
858 size_t iElement;
859 G4int iMomentum, iAngle;
860 G4double randAngle, position, theta1, theta2, E1, E2, W1, W2, W;
861 G4double m1 = particle->GetPDGMass();
862
863 for(iElement = 0; iElement < fElementNumberVector.size(); iElement++)
864 {
865 if( std::fabs(Z - fElementNumberVector[iElement]) < 0.5) break;
866 }
867 if ( iElement == fElementNumberVector.size() )
868 {
869 InitialiseOnFly(Z,A); // table preparation, if needed
870
871 // iElement--;
872
873 // G4cout << "G4NuclNuclDiffuseElastic: Element with atomic number " << Z
874 // << " is not found, return zero angle" << G4endl;
875 // return 0.; // no table for this element
876 }
877 // G4cout<<"iElement = "<<iElement<<G4endl;
878
879 fAngleTable = fAngleBank[iElement];
880
881 G4double kinE = std::sqrt(momentum*momentum + m1*m1) - m1;
882
883 for( iMomentum = 0; iMomentum < fEnergyBin; iMomentum++)
884 {
885 // G4cout<<iMomentum<<", kinE = "<<kinE/MeV<<", vectorE = "<<fEnergyVector->GetLowEdgeEnergy(iMomentum)/MeV<<G4endl;
886
887 if( kinE < fEnergyVector->GetLowEdgeEnergy(iMomentum) ) break;
888 }
889 // G4cout<<"iMomentum = "<<iMomentum<<", fEnergyBin -1 = "<<fEnergyBin -1<<G4endl;
890
891
892 if ( iMomentum >= fEnergyBin ) iMomentum = fEnergyBin-1; // kinE is more then theMaxEnergy
893 if ( iMomentum < 0 ) iMomentum = 0; // against negative index, kinE < theMinEnergy
894
895
896 if (iMomentum == fEnergyBin -1 || iMomentum == 0 ) // the table edges
897 {
898 position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand();
899
900 // G4cout<<"position = "<<position<<G4endl;
901
902 for(iAngle = 0; iAngle < fAngleBin-1; iAngle++)
903 {
904 if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break;
905 }
906 if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2;
907
908 // G4cout<<"iAngle = "<<iAngle<<G4endl;
909
910 randAngle = GetScatteringAngle(iMomentum, iAngle, position);
911
912 // G4cout<<"randAngle = "<<randAngle<<G4endl;
913 }
914 else // kinE inside between energy table edges
915 {
916 // position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand();
917 position = (*(*fAngleTable)(iMomentum))(0)*G4UniformRand();
918
919 // G4cout<<"position = "<<position<<G4endl;
920
921 for(iAngle = 0; iAngle < fAngleBin-1; iAngle++)
922 {
923 // if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break;
924 if( position > (*(*fAngleTable)(iMomentum))(iAngle) ) break;
925 }
926 if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2;
927
928 // G4cout<<"iAngle = "<<iAngle<<G4endl;
929
930 theta2 = GetScatteringAngle(iMomentum, iAngle, position);
931
932 // G4cout<<"theta2 = "<<theta2<<G4endl;
933
934 E2 = fEnergyVector->GetLowEdgeEnergy(iMomentum);
935
936 // G4cout<<"E2 = "<<E2<<G4endl;
937
938 iMomentum--;
939
940 // position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand();
941
942 // G4cout<<"position = "<<position<<G4endl;
943
944 for(iAngle = 0; iAngle < fAngleBin-1; iAngle++)
945 {
946 // if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break;
947 if( position > (*(*fAngleTable)(iMomentum))(iAngle) ) break;
948 }
949 if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2;
950
951 theta1 = GetScatteringAngle(iMomentum, iAngle, position);
952
953 // G4cout<<"theta1 = "<<theta1<<G4endl;
954
955 E1 = fEnergyVector->GetLowEdgeEnergy(iMomentum);
956
957 // G4cout<<"E1 = "<<E1<<G4endl;
958
959 W = 1.0/(E2 - E1);
960 W1 = (E2 - kinE)*W;
961 W2 = (kinE - E1)*W;
962
963 randAngle = W1*theta1 + W2*theta2;
964
965 // randAngle = theta2;
966 }
967 // G4double angle = randAngle;
968 // if (randAngle > 0.) randAngle /= 2*pi*std::sin(angle);
969 // G4cout<<"randAngle = "<<randAngle/degree<<G4endl;
970
971 return randAngle;
972}
973
974//////////////////////////////////////////////////////////////////////////////
975//
976// Initialisation for given particle on fly using new element number
977
978void G4NuclNuclDiffuseElastic::InitialiseOnFly(G4double Z, G4double A)
979{
980 fAtomicNumber = Z; // atomic number
981 fAtomicWeight = G4NistManager::Instance()->GetAtomicMassAmu( static_cast< G4int >( Z ) );
982
983 G4double A1 = G4double( fParticle->GetBaryonNumber() );
984 G4double R1 = CalculateNuclearRad(A1);
985
986 fNuclearRadius = CalculateNuclearRad(fAtomicWeight) + R1;
987
988 if( verboseLevel > 0 )
989 {
990 G4cout<<"G4NuclNuclDiffuseElastic::Initialise() the element with Z = "
991 <<Z<<"; and A = "<<A<<G4endl;
992 }
993 fElementNumberVector.push_back(fAtomicNumber);
994
995 BuildAngleTable();
996
997 fAngleBank.push_back(fAngleTable);
998
999 return;
1000}
1001
1002///////////////////////////////////////////////////////////////////////////////
1003//
1004// Build for given particle and element table of momentum, angle probability.
1005// For the moment in lab system.
1006
1007void G4NuclNuclDiffuseElastic::BuildAngleTable()
1008{
1009 G4int i, j;
1010 G4double partMom, kinE, m1 = fParticle->GetPDGMass();
1011 G4double alpha1, alpha2, alphaMax, alphaCoulomb, delta = 0., sum = 0.;
1012
1013 // G4cout<<"particle z = "<<z<<"; particle m1 = "<<m1/GeV<<" GeV"<<G4endl;
1014
1015 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
1016
1017 fAngleTable = new G4PhysicsTable(fEnergyBin);
1018
1019 for( i = 0; i < fEnergyBin; i++)
1020 {
1021 kinE = fEnergyVector->GetLowEdgeEnergy(i);
1022
1023 // G4cout<<G4endl;
1024 // G4cout<<"kinE = "<<kinE/MeV<<" MeV"<<G4endl;
1025
1026 partMom = std::sqrt( kinE*(kinE + 2*m1) );
1027
1028 InitDynParameters(fParticle, partMom);
1029
1030 alphaMax = fRutherfordTheta*fCofAlphaMax;
1031
1032 if(alphaMax > pi) alphaMax = pi;
1033
1034 // VI: Coverity complain
1035 //alphaMax = pi2;
1036
1037 alphaCoulomb = fRutherfordTheta*fCofAlphaCoulomb;
1038
1039 // G4cout<<"alphaCoulomb = "<<alphaCoulomb/degree<<"; alphaMax = "<<alphaMax/degree<<G4endl;
1040
1041 G4PhysicsFreeVector* angleVector = new G4PhysicsFreeVector(fAngleBin-1);
1042
1043 // G4PhysicsLogVector* angleBins = new G4PhysicsLogVector( 0.001*alphaMax, alphaMax, fAngleBin );
1044
1045 G4double delth = (alphaMax-alphaCoulomb)/fAngleBin;
1046
1047 sum = 0.;
1048
1049 // fAddCoulomb = false;
1050 fAddCoulomb = true;
1051
1052 // for(j = 1; j < fAngleBin; j++)
1053 for(j = fAngleBin-1; j >= 1; j--)
1054 {
1055 // alpha1 = angleBins->GetLowEdgeEnergy(j-1);
1056 // alpha2 = angleBins->GetLowEdgeEnergy(j);
1057
1058 // alpha1 = alphaMax*(j-1)/fAngleBin;
1059 // alpha2 = alphaMax*( j )/fAngleBin;
1060
1061 alpha1 = alphaCoulomb + delth*(j-1);
1062 // if(alpha1 < kRlim2) alpha1 = kRlim2;
1063 alpha2 = alpha1 + delth;
1064
1065 delta = integral.Legendre10(this, &G4NuclNuclDiffuseElastic::GetFresnelIntegrandXsc, alpha1, alpha2);
1066 // delta = integral.Legendre96(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1067
1068 sum += delta;
1069
1070 angleVector->PutValue( j-1 , alpha1, sum ); // alpha2
1071 // G4cout<<"j-1 = "<<j-1<<"; alpha2 = "<<alpha2/degree<<"; sum = "<<sum<<G4endl;
1072 }
1073 fAngleTable->insertAt(i,angleVector);
1074
1075 // delete[] angleVector;
1076 // delete[] angleBins;
1077 }
1078 return;
1079}
1080
1081/////////////////////////////////////////////////////////////////////////////////
1082//
1083//
1084
1085G4double
1086G4NuclNuclDiffuseElastic:: GetScatteringAngle( G4int iMomentum, G4int iAngle, G4double position )
1087{
1088 G4double x1, x2, y1, y2, randAngle;
1089
1090 if( iAngle == 0 )
1091 {
1092 randAngle = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle);
1093 // iAngle++;
1094 }
1095 else
1096 {
1097 if ( iAngle >= G4int((*fAngleTable)(iMomentum)->GetVectorLength()) )
1098 {
1099 iAngle = (*fAngleTable)(iMomentum)->GetVectorLength() - 1;
1100 }
1101 y1 = (*(*fAngleTable)(iMomentum))(iAngle-1);
1102 y2 = (*(*fAngleTable)(iMomentum))(iAngle);
1103
1104 x1 = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle-1);
1105 x2 = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle);
1106
1107 if ( x1 == x2 ) randAngle = x2;
1108 else
1109 {
1110 if ( y1 == y2 ) randAngle = x1 + ( x2 - x1 )*G4UniformRand();
1111 else
1112 {
1113 randAngle = x1 + ( position - y1 )*( x2 - x1 )/( y2 - y1 );
1114 }
1115 }
1116 }
1117 return randAngle;
1118}
1119
1120
1121
1122////////////////////////////////////////////////////////////////////////////
1123//
1124// Return scattering angle sampled in lab system (target at rest)
1125
1126
1127
1128G4double
1129G4NuclNuclDiffuseElastic::SampleThetaLab( const G4HadProjectile* aParticle,
1130 G4double tmass, G4double A)
1131{
1132 const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
1133 G4double m1 = theParticle->GetPDGMass();
1134 G4double plab = aParticle->GetTotalMomentum();
1135 G4LorentzVector lv1 = aParticle->Get4Momentum();
1136 G4LorentzVector lv(0.0,0.0,0.0,tmass);
1137 lv += lv1;
1138
1139 G4ThreeVector bst = lv.boostVector();
1140 lv1.boost(-bst);
1141
1142 G4ThreeVector p1 = lv1.vect();
1143 G4double ptot = p1.mag();
1144 G4double tmax = 4.0*ptot*ptot;
1145 G4double t = 0.0;
1146
1147
1148 //
1149 // Sample t
1150 //
1151
1152 t = SampleT( theParticle, ptot, A);
1153
1154 // NaN finder
1155 if(!(t < 0.0 || t >= 0.0))
1156 {
1157 if (verboseLevel > 0)
1158 {
1159 G4cout << "G4NuclNuclDiffuseElastic:WARNING: A = " << A
1160 << " mom(GeV)= " << plab/GeV
1161 << " S-wave will be sampled"
1162 << G4endl;
1163 }
1164 t = G4UniformRand()*tmax;
1165 }
1166 if(verboseLevel>1)
1167 {
1168 G4cout <<" t= " << t << " tmax= " << tmax
1169 << " ptot= " << ptot << G4endl;
1170 }
1171 // Sampling of angles in CM system
1172
1173 G4double phi = G4UniformRand()*twopi;
1174 G4double cost = 1. - 2.0*t/tmax;
1175 G4double sint;
1176
1177 if( cost >= 1.0 )
1178 {
1179 cost = 1.0;
1180 sint = 0.0;
1181 }
1182 else if( cost <= -1.0)
1183 {
1184 cost = -1.0;
1185 sint = 0.0;
1186 }
1187 else
1188 {
1189 sint = std::sqrt((1.0-cost)*(1.0+cost));
1190 }
1191 if (verboseLevel>1)
1192 {
1193 G4cout << "cos(t)=" << cost << " std::sin(t)=" << sint << G4endl;
1194 }
1195 G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
1196 v1 *= ptot;
1197 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1));
1198
1199 nlv1.boost(bst);
1200
1201 G4ThreeVector np1 = nlv1.vect();
1202
1203 // G4double theta = std::acos( np1.z()/np1.mag() ); // degree;
1204
1205 G4double theta = np1.theta();
1206
1207 return theta;
1208}
1209
1210////////////////////////////////////////////////////////////////////////////
1211//
1212// Return scattering angle in lab system (target at rest) knowing theta in CMS
1213
1214
1215
1216G4double
1217G4NuclNuclDiffuseElastic::ThetaCMStoThetaLab( const G4DynamicParticle* aParticle,
1218 G4double tmass, G4double thetaCMS)
1219{
1220 const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
1221 G4double m1 = theParticle->GetPDGMass();
1222 // G4double plab = aParticle->GetTotalMomentum();
1223 G4LorentzVector lv1 = aParticle->Get4Momentum();
1224 G4LorentzVector lv(0.0,0.0,0.0,tmass);
1225
1226 lv += lv1;
1227
1228 G4ThreeVector bst = lv.boostVector();
1229
1230 lv1.boost(-bst);
1231
1232 G4ThreeVector p1 = lv1.vect();
1233 G4double ptot = p1.mag();
1234
1235 G4double phi = G4UniformRand()*twopi;
1236 G4double cost = std::cos(thetaCMS);
1237 G4double sint;
1238
1239 if( cost >= 1.0 )
1240 {
1241 cost = 1.0;
1242 sint = 0.0;
1243 }
1244 else if( cost <= -1.0)
1245 {
1246 cost = -1.0;
1247 sint = 0.0;
1248 }
1249 else
1250 {
1251 sint = std::sqrt((1.0-cost)*(1.0+cost));
1252 }
1253 if (verboseLevel>1)
1254 {
1255 G4cout << "cos(tcms)=" << cost << " std::sin(tcms)=" << sint << G4endl;
1256 }
1257 G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
1258 v1 *= ptot;
1259 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1));
1260
1261 nlv1.boost(bst);
1262
1263 G4ThreeVector np1 = nlv1.vect();
1264
1265
1266 G4double thetaLab = np1.theta();
1267
1268 return thetaLab;
1269}
1270
1271////////////////////////////////////////////////////////////////////////////
1272//
1273// Return scattering angle in CMS system (target at rest) knowing theta in Lab
1274
1275
1276
1277G4double
1278G4NuclNuclDiffuseElastic::ThetaLabToThetaCMS( const G4DynamicParticle* aParticle,
1279 G4double tmass, G4double thetaLab)
1280{
1281 const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
1282 G4double m1 = theParticle->GetPDGMass();
1283 G4double plab = aParticle->GetTotalMomentum();
1284 G4LorentzVector lv1 = aParticle->Get4Momentum();
1285 G4LorentzVector lv(0.0,0.0,0.0,tmass);
1286
1287 lv += lv1;
1288
1289 G4ThreeVector bst = lv.boostVector();
1290
1291 // lv1.boost(-bst);
1292
1293 // G4ThreeVector p1 = lv1.vect();
1294 // G4double ptot = p1.mag();
1295
1296 G4double phi = G4UniformRand()*twopi;
1297 G4double cost = std::cos(thetaLab);
1298 G4double sint;
1299
1300 if( cost >= 1.0 )
1301 {
1302 cost = 1.0;
1303 sint = 0.0;
1304 }
1305 else if( cost <= -1.0)
1306 {
1307 cost = -1.0;
1308 sint = 0.0;
1309 }
1310 else
1311 {
1312 sint = std::sqrt((1.0-cost)*(1.0+cost));
1313 }
1314 if (verboseLevel>1)
1315 {
1316 G4cout << "cos(tlab)=" << cost << " std::sin(tlab)=" << sint << G4endl;
1317 }
1318 G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
1319 v1 *= plab;
1320 G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(plab*plab + m1*m1));
1321
1322 nlv1.boost(-bst);
1323
1324 G4ThreeVector np1 = nlv1.vect();
1325
1326
1327 G4double thetaCMS = np1.theta();
1328
1329 return thetaCMS;
1330}
1331
1332///////////////////////////////////////////////////////////////////////////////
1333//
1334// Test for given particle and element table of momentum, angle probability.
1335// For the moment in lab system.
1336
1337void G4NuclNuclDiffuseElastic::TestAngleTable(const G4ParticleDefinition* theParticle, G4double partMom,
1338 G4double Z, G4double A)
1339{
1340 fAtomicNumber = Z; // atomic number
1341 fAtomicWeight = A; // number of nucleons
1342 fNuclearRadius = CalculateNuclearRad(fAtomicWeight);
1343
1344
1345
1346 G4cout<<"G4NuclNuclDiffuseElastic::TestAngleTable() init the element with Z = "
1347 <<Z<<"; and A = "<<A<<G4endl;
1348
1349 fElementNumberVector.push_back(fAtomicNumber);
1350
1351
1352
1353
1354 G4int i=0, j;
1355 G4double a = 0., z = theParticle->GetPDGCharge(), m1 = fParticle->GetPDGMass();
1356 G4double alpha1=0., alpha2=0., alphaMax=0., alphaCoulomb=0.;
1357 G4double deltaL10 = 0., deltaL96 = 0., deltaAG = 0.;
1358 G4double sumL10 = 0.,sumL96 = 0.,sumAG = 0.;
1359 G4double epsilon = 0.001;
1360
1361 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
1362
1363 fAngleTable = new G4PhysicsTable(fEnergyBin);
1364
1365 fWaveVector = partMom/hbarc;
1366
1367 G4double kR = fWaveVector*fNuclearRadius;
1368 G4double kR2 = kR*kR;
1369 G4double kRmax = 10.6; // 10.6, 18, 10.174; ~ 3 maxima of J1 or 15., 25.
1370 G4double kRcoul = 1.2; // 1.4, 2.5; // on the first slope of J1
1371
1372 alphaMax = kRmax*kRmax/kR2;
1373
1374 if (alphaMax > 4.) alphaMax = 4.; // vmg05-02-09: was pi2
1375
1376 alphaCoulomb = kRcoul*kRcoul/kR2;
1377
1378 if( z )
1379 {
1380 a = partMom/m1; // beta*gamma for m1
1381 fBeta = a/std::sqrt(1+a*a);
1382 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1383 fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1384 }
1385 G4PhysicsFreeVector* angleVector = new G4PhysicsFreeVector(fAngleBin-1);
1386
1387 // G4PhysicsLogVector* angleBins = new G4PhysicsLogVector( 0.001*alphaMax, alphaMax, fAngleBin );
1388
1389
1390 fAddCoulomb = false;
1391
1392 for(j = 1; j < fAngleBin; j++)
1393 {
1394 // alpha1 = angleBins->GetLowEdgeEnergy(j-1);
1395 // alpha2 = angleBins->GetLowEdgeEnergy(j);
1396
1397 alpha1 = alphaMax*(j-1)/fAngleBin;
1398 alpha2 = alphaMax*( j )/fAngleBin;
1399
1400 if( ( alpha2 > alphaCoulomb ) && z ) fAddCoulomb = true;
1401
1402 deltaL10 = integral.Legendre10(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1403 deltaL96 = integral.Legendre96(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1404 deltaAG = integral.AdaptiveGauss(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction,
1405 alpha1, alpha2,epsilon);
1406
1407 // G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/degree<<"\t"
1408 // <<deltaL10<<"\t"<<deltaL96<<"\t"<<deltaAG<<G4endl;
1409
1410 sumL10 += deltaL10;
1411 sumL96 += deltaL96;
1412 sumAG += deltaAG;
1413
1414 G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/degree<<"\t"
1415 <<sumL10<<"\t"<<sumL96<<"\t"<<sumAG<<G4endl;
1416
1417 angleVector->PutValue( j-1 , alpha1, sumL10 ); // alpha2
1418 }
1419 fAngleTable->insertAt(i,angleVector);
1420 fAngleBank.push_back(fAngleTable);
1421
1422 /*
1423 // Integral over all angle range - Bad accuracy !!!
1424
1425 sumL10 = integral.Legendre10(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., alpha2);
1426 sumL96 = integral.Legendre96(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction, 0., alpha2);
1427 sumAG = integral.AdaptiveGauss(this, &G4NuclNuclDiffuseElastic::GetIntegrandFunction,
1428 0., alpha2,epsilon);
1429 G4cout<<G4endl;
1430 G4cout<<alpha2<<"\t"<<std::sqrt(alpha2)/degree<<"\t"
1431 <<sumL10<<"\t"<<sumL96<<"\t"<<sumAG<<G4endl;
1432 */
1433 return;
1434}
1435
1436/////////////////////////////////////////////////////////////////
1437//
1438//
1439
1440 G4double G4NuclNuclDiffuseElastic::GetLegendrePol(G4int n, G4double theta)
1441{
1442 G4double legPol, epsilon = 1.e-6;
1443 G4double x = std::cos(theta);
1444
1445 if ( n < 0 ) legPol = 0.;
1446 else if( n == 0 ) legPol = 1.;
1447 else if( n == 1 ) legPol = x;
1448 else if( n == 2 ) legPol = (3.*x*x-1.)/2.;
1449 else if( n == 3 ) legPol = (5.*x*x*x-3.*x)/2.;
1450 else if( n == 4 ) legPol = (35.*x*x*x*x-30.*x*x+3.)/8.;
1451 else if( n == 5 ) legPol = (63.*x*x*x*x*x-70.*x*x*x+15.*x)/8.;
1452 else if( n == 6 ) legPol = (231.*x*x*x*x*x*x-315.*x*x*x*x+105.*x*x-5.)/16.;
1453 else
1454 {
1455 // legPol = ( (2*n-1)*x*GetLegendrePol(n-1,x) - (n-1)*GetLegendrePol(n-2,x) )/n;
1456
1457 legPol = std::sqrt( 2./(n*CLHEP::pi*std::sin(theta+epsilon)) )*std::sin( (n+0.5)*theta+0.25*CLHEP::pi );
1458 }
1459 return legPol;
1460}
1461
1462/////////////////////////////////////////////////////////////////
1463//
1464//
1465
1466G4complex G4NuclNuclDiffuseElastic::GetErfComp(G4complex z, G4int nMax)
1467{
1468 G4int n;
1469 G4double n2, cofn, shny, chny, fn, gn;
1470
1471 G4double x = z.real();
1472 G4double y = z.imag();
1473
1474 G4double outRe = 0., outIm = 0.;
1475
1476 G4double twox = 2.*x;
1477 G4double twoxy = twox*y;
1478 G4double twox2 = twox*twox;
1479
1480 G4double cof1 = G4Exp(-x*x)/CLHEP::pi;
1481
1482 G4double cos2xy = std::cos(twoxy);
1483 G4double sin2xy = std::sin(twoxy);
1484
1485 G4double twoxcos2xy = twox*cos2xy;
1486 G4double twoxsin2xy = twox*sin2xy;
1487
1488 for( n = 1; n <= nMax; n++)
1489 {
1490 n2 = n*n;
1491
1492 cofn = G4Exp(-0.5*n2)/(n2+twox2); // /(n2+0.5*twox2);
1493
1494 chny = std::cosh(n*y);
1495 shny = std::sinh(n*y);
1496
1497 fn = twox - twoxcos2xy*chny + n*sin2xy*shny;
1498 gn = twoxsin2xy*chny + n*cos2xy*shny;
1499
1500 fn *= cofn;
1501 gn *= cofn;
1502
1503 outRe += fn;
1504 outIm += gn;
1505 }
1506 outRe *= 2*cof1;
1507 outIm *= 2*cof1;
1508
1509 if(std::abs(x) < 0.0001)
1510 {
1511 outRe += GetErf(x);
1512 outIm += cof1*y;
1513 }
1514 else
1515 {
1516 outRe += GetErf(x) + cof1*(1-cos2xy)/twox;
1517 outIm += cof1*sin2xy/twox;
1518 }
1519 return G4complex(outRe, outIm);
1520}
1521
1522
1523/////////////////////////////////////////////////////////////////
1524//
1525//
1526
1527G4complex G4NuclNuclDiffuseElastic::GetErfInt(G4complex z) // , G4int nMax)
1528{
1529 G4double outRe, outIm;
1530
1531 G4double x = z.real();
1532 G4double y = z.imag();
1533 fReZ = x;
1534
1535 G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral;
1536
1537 outRe = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetExpSin, 0., y );
1538 outIm = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetExpCos, 0., y );
1539
1540 outRe *= 2./std::sqrt(CLHEP::pi);
1541 outIm *= 2./std::sqrt(CLHEP::pi);
1542
1543 outRe += GetErf(x);
1544
1545 return G4complex(outRe, outIm);
1546}
1547
1548/////////////////////////////////////////////////////////////////
1549//
1550//
1551
1552
1553G4complex G4NuclNuclDiffuseElastic::GammaLess(G4double theta)
1554{
1555 G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg2);
1556 G4double cosHalfThetaR2 = 1./(1. + fHalfRutThetaTg2);
1557
1558 G4double u = std::sqrt(0.5*fProfileLambda/sinThetaR);
1559 G4double kappa = u/std::sqrt(CLHEP::pi);
1560 G4double dTheta = theta - fRutherfordTheta;
1561 u *= dTheta;
1562 G4double u2 = u*u;
1563 G4double u2m2p3 = u2*2./3.;
1564
1565 G4complex im = G4complex(0.,1.);
1566 G4complex order = G4complex(u,u);
1567 order /= std::sqrt(2.);
1568
1569 G4complex gamma = CLHEP::pi*kappa*GetErfcInt(-order)*std::exp(im*(u*u+0.25*CLHEP::pi));
1570 G4complex a0 = 0.5*(1. + 4.*(1.+im*u2)*cosHalfThetaR2/3.)/sinThetaR;
1571 G4complex a1 = 0.5*(1. + 2.*(1.+im*u2m2p3)*cosHalfThetaR2)/sinThetaR;
1572 G4complex out = gamma*(1. - a1*dTheta) - a0;
1573
1574 return out;
1575}
1576
1577/////////////////////////////////////////////////////////////////
1578//
1579//
1580
1581G4complex G4NuclNuclDiffuseElastic::GammaMore(G4double theta)
1582{
1583 G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg2);
1584 G4double cosHalfThetaR2 = 1./(1. + fHalfRutThetaTg2);
1585
1586 G4double u = std::sqrt(0.5*fProfileLambda/sinThetaR);
1587 G4double kappa = u/std::sqrt(CLHEP::pi);
1588 G4double dTheta = theta - fRutherfordTheta;
1589 u *= dTheta;
1590 G4double u2 = u*u;
1591 G4double u2m2p3 = u2*2./3.;
1592
1593 G4complex im = G4complex(0.,1.);
1594 G4complex order = G4complex(u,u);
1595 order /= std::sqrt(2.);
1596 G4complex gamma = CLHEP::pi*kappa*GetErfcInt(order)*std::exp(im*(u*u+0.25*CLHEP::pi));
1597 G4complex a0 = 0.5*(1. + 4.*(1.+im*u2)*cosHalfThetaR2/3.)/sinThetaR;
1598 G4complex a1 = 0.5*(1. + 2.*(1.+im*u2m2p3)*cosHalfThetaR2)/sinThetaR;
1599 G4complex out = -gamma*(1. - a1*dTheta) - a0;
1600
1601 return out;
1602}
1603
1604/////////////////////////////////////////////////////////////////
1605//
1606//
1607
1608 G4complex G4NuclNuclDiffuseElastic::AmplitudeNear(G4double theta)
1609{
1610 G4double kappa = std::sqrt(0.5*fProfileLambda/std::sin(theta)/CLHEP::pi);
1611 G4complex out = G4complex(kappa/fWaveVector,0.);
1612
1613 out *= PhaseNear(theta);
1614
1615 if( theta <= fRutherfordTheta )
1616 {
1617 out *= GammaLess(theta) + ProfileNear(theta);
1618 // out *= GammaMore(theta) + ProfileNear(theta);
1619 out += CoulombAmplitude(theta);
1620 }
1621 else
1622 {
1623 out *= GammaMore(theta) + ProfileNear(theta);
1624 // out *= GammaLess(theta) + ProfileNear(theta);
1625 }
1626 return out;
1627}
1628
1629/////////////////////////////////////////////////////////////////
1630//
1631//
1632
1633G4complex G4NuclNuclDiffuseElastic::AmplitudeSim(G4double theta)
1634{
1635 G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg2);
1636 G4double dTheta = 0.5*(theta - fRutherfordTheta);
1637 G4double sindTheta = std::sin(dTheta);
1638 G4double persqrt2 = std::sqrt(0.5);
1639
1640 G4complex order = G4complex(persqrt2,persqrt2);
1641 order *= std::sqrt(0.5*fProfileLambda/sinThetaR)*2.*sindTheta;
1642 // order *= std::sqrt(0.5*fProfileLambda/sinThetaR)*2.*dTheta;
1643
1644 G4complex out;
1645
1646 if ( theta <= fRutherfordTheta )
1647 {
1648 out = 1. - 0.5*GetErfcInt(-order)*ProfileNear(theta);
1649 }
1650 else
1651 {
1652 out = 0.5*GetErfcInt(order)*ProfileNear(theta);
1653 }
1654
1655 out *= CoulombAmplitude(theta);
1656
1657 return out;
1658}
1659
1660/////////////////////////////////////////////////////////////////
1661//
1662//
1663
1664 G4complex G4NuclNuclDiffuseElastic::AmplitudeGla(G4double theta)
1665{
1666 G4int n;
1667 G4double T12b, b, b2; // cosTheta = std::cos(theta);
1668 G4complex out = G4complex(0.,0.), shiftC, shiftN;
1669 G4complex im = G4complex(0.,1.);
1670
1671 for( n = 0; n < fMaxL; n++)
1672 {
1673 shiftC = std::exp( im*2.*CalculateCoulombPhase(n) );
1674 // b = ( fZommerfeld + std::sqrt( fZommerfeld*fZommerfeld + n*(n+1) ) )/fWaveVector;
1675 b = ( std::sqrt( G4double(n*(n+1)) ) )/fWaveVector;
1676 b2 = b*b;
1677 T12b = fSumSigma*G4Exp(-b2/fNuclearRadiusSquare)/CLHEP::pi/fNuclearRadiusSquare;
1678 shiftN = std::exp( -0.5*(1.-im*fEtaRatio)*T12b ) - 1.;
1679 out += (2.*n+1.)*shiftC*shiftN*GetLegendrePol(n, theta);
1680 }
1681 out /= 2.*im*fWaveVector;
1682 out += CoulombAmplitude(theta);
1683 return out;
1684}
1685
1686
1687/////////////////////////////////////////////////////////////////
1688//
1689//
1690
1691 G4complex G4NuclNuclDiffuseElastic::AmplitudeGG(G4double theta)
1692{
1693 G4int n;
1694 G4double T12b, a, aTemp, b2, sinThetaH = std::sin(0.5*theta);
1695 G4double sinThetaH2 = sinThetaH*sinThetaH;
1696 G4complex out = G4complex(0.,0.);
1697 G4complex im = G4complex(0.,1.);
1698
1699 a = -fSumSigma/CLHEP::twopi/fNuclearRadiusSquare;
1700 b2 = fWaveVector*fWaveVector*fNuclearRadiusSquare*sinThetaH2;
1701
1702 aTemp = a;
1703
1704 for( n = 1; n < fMaxL; n++)
1705 {
1706 T12b = aTemp*G4Exp(-b2/n)/n;
1707 aTemp *= a;
1708 out += T12b;
1709 G4cout<<"out = "<<out<<G4endl;
1710 }
1711 out *= -4.*im*fWaveVector/CLHEP::pi;
1712 out += CoulombAmplitude(theta);
1713 return out;
1714}
1715
1716
1717///////////////////////////////////////////////////////////////////////////////
1718//
1719// Test for given particle and element table of momentum, angle probability.
1720// For the partMom in CMS.
1721
1722void G4NuclNuclDiffuseElastic::InitParameters(const G4ParticleDefinition* theParticle,
1723 G4double partMom, G4double Z, G4double A)
1724{
1725 fAtomicNumber = Z; // atomic number
1726 fAtomicWeight = A; // number of nucleons
1727
1728 fNuclearRadius2 = CalculateNuclearRad(fAtomicWeight);
1729 G4double A1 = G4double( theParticle->GetBaryonNumber() );
1730 fNuclearRadius1 = CalculateNuclearRad(A1);
1731 // fNuclearRadius = std::sqrt(fNuclearRadius1*fNuclearRadius1+fNuclearRadius2*fNuclearRadius2);
1732 fNuclearRadius = fNuclearRadius1 + fNuclearRadius2;
1733
1734 G4double a = 0.;
1735 G4double z = theParticle->GetPDGCharge();
1736 G4double m1 = theParticle->GetPDGMass();
1737
1738 fWaveVector = partMom/CLHEP::hbarc;
1739
1740 G4double lambda = fCofLambda*fWaveVector*fNuclearRadius;
1741 G4cout<<"kR = "<<lambda<<G4endl;
1742
1743 if( z )
1744 {
1745 a = partMom/m1; // beta*gamma for m1
1746 fBeta = a/std::sqrt(1+a*a);
1747 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1748 fRutherfordRatio = fZommerfeld/fWaveVector;
1749 fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1750 }
1751 G4cout<<"fZommerfeld = "<<fZommerfeld<<G4endl;
1752 fProfileLambda = lambda; // *std::sqrt(1.-2*fZommerfeld/lambda);
1753 G4cout<<"fProfileLambda = "<<fProfileLambda<<G4endl;
1754 fProfileDelta = fCofDelta*fProfileLambda;
1755 fProfileAlpha = fCofAlpha*fProfileLambda;
1756
1757 CalculateCoulombPhaseZero();
1758 CalculateRutherfordAnglePar();
1759
1760 return;
1761}
1762///////////////////////////////////////////////////////////////////////////////
1763//
1764// Test for given particle and element table of momentum, angle probability.
1765// For the partMom in CMS.
1766
1767void G4NuclNuclDiffuseElastic::InitDynParameters(const G4ParticleDefinition* theParticle,
1768 G4double partMom)
1769{
1770 G4double a = 0.;
1771 G4double z = theParticle->GetPDGCharge();
1772 G4double m1 = theParticle->GetPDGMass();
1773
1774 fWaveVector = partMom/CLHEP::hbarc;
1775
1776 G4double lambda = fCofLambda*fWaveVector*fNuclearRadius;
1777
1778 if( z )
1779 {
1780 a = partMom/m1; // beta*gamma for m1
1781 fBeta = a/std::sqrt(1+a*a);
1782 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1783 fRutherfordRatio = fZommerfeld/fWaveVector;
1784 fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1785 }
1786 fProfileLambda = lambda; // *std::sqrt(1.-2*fZommerfeld/lambda);
1787 fProfileDelta = fCofDelta*fProfileLambda;
1788 fProfileAlpha = fCofAlpha*fProfileLambda;
1789
1790 CalculateCoulombPhaseZero();
1791 CalculateRutherfordAnglePar();
1792
1793 return;
1794}
1795
1796
1797///////////////////////////////////////////////////////////////////////////////
1798//
1799// Test for given particle and element table of momentum, angle probability.
1800// For the partMom in CMS.
1801
1802void G4NuclNuclDiffuseElastic::InitParametersGla(const G4DynamicParticle* aParticle,
1803 G4double partMom, G4double Z, G4double A)
1804{
1805 fAtomicNumber = Z; // target atomic number
1806 fAtomicWeight = A; // target number of nucleons
1807
1808 fNuclearRadius2 = CalculateNuclearRad(fAtomicWeight); // target nucleus radius
1809 G4double A1 = G4double( aParticle->GetDefinition()->GetBaryonNumber() );
1810 fNuclearRadius1 = CalculateNuclearRad(A1); // projectile nucleus radius
1811 fNuclearRadiusSquare = fNuclearRadius1*fNuclearRadius1+fNuclearRadius2*fNuclearRadius2;
1812
1813
1814 G4double a = 0., kR12;
1815 G4double z = aParticle->GetDefinition()->GetPDGCharge();
1816 G4double m1 = aParticle->GetDefinition()->GetPDGMass();
1817
1818 fWaveVector = partMom/CLHEP::hbarc;
1819
1820 G4double pN = A1 - z;
1821 if( pN < 0. ) pN = 0.;
1822
1823 G4double tN = A - Z;
1824 if( tN < 0. ) tN = 0.;
1825
1826 G4double pTkin = aParticle->GetKineticEnergy();
1827 pTkin /= A1;
1828
1829
1830 fSumSigma = (Z*z+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) +
1831 (z*tN+pN*Z)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron);
1832
1833 G4cout<<"fSumSigma = "<<fSumSigma/CLHEP::millibarn<<" mb"<<G4endl;
1834 G4cout<<"pi*R2 = "<<CLHEP::pi*fNuclearRadiusSquare/CLHEP::millibarn<<" mb"<<G4endl;
1835 kR12 = fWaveVector*std::sqrt(fNuclearRadiusSquare);
1836 G4cout<<"k*sqrt(R2) = "<<kR12<<" "<<G4endl;
1837 fMaxL = (G4int(kR12)+1)*4;
1838 G4cout<<"fMaxL = "<<fMaxL<<" "<<G4endl;
1839
1840 if( z )
1841 {
1842 a = partMom/m1; // beta*gamma for m1
1843 fBeta = a/std::sqrt(1+a*a);
1844 fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1845 fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1846 }
1847
1848 CalculateCoulombPhaseZero();
1849
1850
1851 return;
1852}
1853
1854
1855/////////////////////////////////////////////////////////////////////////////////////
1856//
1857// Returns nucleon-nucleon cross-section based on N. Starkov parametrisation of
1858// data from mainly http://wwwppds.ihep.su:8001/c5-6A.html database
1859// projectile nucleon is pParticle with pTkin shooting target nucleon tParticle
1860
1861G4double
1862G4NuclNuclDiffuseElastic::GetHadronNucleonXscNS( G4ParticleDefinition* pParticle,
1863 G4double pTkin,
1864 G4ParticleDefinition* tParticle)
1865{
1866 G4double xsection(0), /*Delta,*/ A0, B0;
1867 G4double hpXsc(0);
1868 G4double hnXsc(0);
1869
1870
1871 G4double targ_mass = tParticle->GetPDGMass();
1872 G4double proj_mass = pParticle->GetPDGMass();
1873
1874 G4double proj_energy = proj_mass + pTkin;
1875 G4double proj_momentum = std::sqrt(pTkin*(pTkin+2*proj_mass));
1876
1877 G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum );
1878
1879 sMand /= CLHEP::GeV*CLHEP::GeV; // in GeV for parametrisation
1880 proj_momentum /= CLHEP::GeV;
1881 proj_energy /= CLHEP::GeV;
1882 proj_mass /= CLHEP::GeV;
1883 G4double logS = G4Log(sMand);
1884
1885 // General PDG fit constants
1886
1887
1888 // fEtaRatio=Re[f(0)]/Im[f(0)]
1889
1890 if( proj_momentum >= 1.2 )
1891 {
1892 fEtaRatio = 0.13*(logS - 5.8579332)*G4Pow::GetInstance()->powA(sMand,-0.18);
1893 }
1894 else if( proj_momentum >= 0.6 )
1895 {
1896 fEtaRatio = -75.5*(G4Pow::GetInstance()->powA(proj_momentum,0.25)-0.95)/
1897 (G4Pow::GetInstance()->powA(3*proj_momentum,2.2)+1);
1898 }
1899 else
1900 {
1901 fEtaRatio = 15.5*proj_momentum/(27*proj_momentum*proj_momentum*proj_momentum+2);
1902 }
1903 G4cout<<"fEtaRatio = "<<fEtaRatio<<G4endl;
1904
1905 // xsc
1906
1907 if( proj_momentum >= 10. ) // high energy: pp = nn = np
1908 // if( proj_momentum >= 2.)
1909 {
1910 //Delta = 1.;
1911
1912 //if( proj_energy < 40. ) Delta = 0.916+0.0021*proj_energy;
1913
1914 //AR-12Aug2016 if( proj_momentum >= 10.)
1915 {
1916 B0 = 7.5;
1917 A0 = 100. - B0*G4Log(3.0e7);
1918
1919 xsection = A0 + B0*G4Log(proj_energy) - 11
1920 + 103*G4Pow::GetInstance()->powA(2*0.93827*proj_energy + proj_mass*proj_mass+
1921 0.93827*0.93827,-0.165); // mb
1922 }
1923 }
1924 else // low energy pp = nn != np
1925 {
1926 if(pParticle == tParticle) // pp or nn // nn to be pp
1927 {
1928 if( proj_momentum < 0.73 )
1929 {
1930 hnXsc = 23 + 50*( G4Pow::GetInstance()->powA( G4Log(0.73/proj_momentum), 3.5 ) );
1931 }
1932 else if( proj_momentum < 1.05 )
1933 {
1934 hnXsc = 23 + 40*(G4Log(proj_momentum/0.73))*
1935 (G4Log(proj_momentum/0.73));
1936 }
1937 else // if( proj_momentum < 10. )
1938 {
1939 hnXsc = 39.0 +
1940 75*(proj_momentum - 1.2)/(G4Pow::GetInstance()->powA(proj_momentum,3.0) + 0.15);
1941 }
1942 xsection = hnXsc;
1943 }
1944 else // pn to be np
1945 {
1946 if( proj_momentum < 0.8 )
1947 {
1948 hpXsc = 33+30*G4Pow::GetInstance()->powA(G4Log(proj_momentum/1.3),4.0);
1949 }
1950 else if( proj_momentum < 1.4 )
1951 {
1952 hpXsc = 33+30*G4Pow::GetInstance()->powA(G4Log(proj_momentum/0.95),2.0);
1953 }
1954 else // if( proj_momentum < 10. )
1955 {
1956 hpXsc = 33.3+
1957 20.8*(G4Pow::GetInstance()->powA(proj_momentum,2.0)-1.35)/
1958 (G4Pow::GetInstance()->powA(proj_momentum,2.50)+0.95);
1959 }
1960 xsection = hpXsc;
1961 }
1962 }
1963 xsection *= CLHEP::millibarn; // parametrised in mb
1964 G4cout<<"xsection = "<<xsection/CLHEP::millibarn<<" mb"<<G4endl;
1965 return xsection;
1966}
1967
1968/////////////////////////////////////////////////////////////////
1969//
1970// The ratio el/ruth for Fresnel smooth nucleus profile
1971
1972G4double G4NuclNuclDiffuseElastic::GetRatioGen(G4double theta)
1973{
1974 G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg2);
1975 G4double dTheta = 0.5*(theta - fRutherfordTheta);
1976 G4double sindTheta = std::sin(dTheta);
1977
1978 G4double prof = Profile(theta);
1979 G4double prof2 = prof*prof;
1980 // G4double profmod = std::abs(prof);
1981 G4double order = std::sqrt(fProfileLambda/sinThetaR/CLHEP::pi)*2.*sindTheta;
1982
1983 order = std::abs(order); // since sin changes sign!
1984 // G4cout<<"order = "<<order<<G4endl;
1985
1986 G4double cosFresnel = GetCint(order);
1987 G4double sinFresnel = GetSint(order);
1988
1989 G4double out;
1990
1991 if ( theta <= fRutherfordTheta )
1992 {
1993 out = 1. + 0.5*( (0.5-cosFresnel)*(0.5-cosFresnel)+(0.5-sinFresnel)*(0.5-sinFresnel) )*prof2;
1994 out += ( cosFresnel + sinFresnel - 1. )*prof;
1995 }
1996 else
1997 {
1998 out = 0.5*( (0.5-cosFresnel)*(0.5-cosFresnel)+(0.5-sinFresnel)*(0.5-sinFresnel) )*prof2;
1999 }
2000
2001 return out;
2002}
2003
2004///////////////////////////////////////////////////////////////////
2005//
2006// For the calculation of arg Gamma(z) one needs complex extension
2007// of ln(Gamma(z))
2008
2009G4complex G4NuclNuclDiffuseElastic::GammaLogarithm(G4complex zz)
2010{
2011 const G4double cof[6] = { 76.18009172947146, -86.50532032941677,
2012 24.01409824083091, -1.231739572450155,
2013 0.1208650973866179e-2, -0.5395239384953e-5 } ;
2014 G4int j;
2015 G4complex z = zz - 1.0;
2016 G4complex tmp = z + 5.5;
2017 tmp -= (z + 0.5) * std::log(tmp);
2018 G4complex ser = G4complex(1.000000000190015,0.);
2019
2020 for ( j = 0; j <= 5; j++ )
2021 {
2022 z += 1.0;
2023 ser += cof[j]/z;
2024 }
2025 return -tmp + std::log(2.5066282746310005*ser);
2026}
2027
2028/////////////////////////////////////////////////////////////
2029//
2030// Bessel J0 function based on rational approximation from
2031// J.F. Hart, Computer Approximations, New York, Willey 1968, p. 141
2032
2033G4double G4NuclNuclDiffuseElastic::BesselJzero(G4double value)
2034{
2035 G4double modvalue, value2, fact1, fact2, arg, shift, bessel;
2036
2037 modvalue = std::fabs(value);
2038
2039 if ( value < 8.0 && value > -8.0 )
2040 {
2041 value2 = value*value;
2042
2043 fact1 = 57568490574.0 + value2*(-13362590354.0
2044 + value2*( 651619640.7
2045 + value2*(-11214424.18
2046 + value2*( 77392.33017
2047 + value2*(-184.9052456 ) ) ) ) );
2048
2049 fact2 = 57568490411.0 + value2*( 1029532985.0
2050 + value2*( 9494680.718
2051 + value2*(59272.64853
2052 + value2*(267.8532712
2053 + value2*1.0 ) ) ) );
2054
2055 bessel = fact1/fact2;
2056 }
2057 else
2058 {
2059 arg = 8.0/modvalue;
2060
2061 value2 = arg*arg;
2062
2063 shift = modvalue-0.785398164;
2064
2065 fact1 = 1.0 + value2*(-0.1098628627e-2
2066 + value2*(0.2734510407e-4
2067 + value2*(-0.2073370639e-5
2068 + value2*0.2093887211e-6 ) ) );
2069
2070 fact2 = -0.1562499995e-1 + value2*(0.1430488765e-3
2071 + value2*(-0.6911147651e-5
2072 + value2*(0.7621095161e-6
2073 - value2*0.934945152e-7 ) ) );
2074
2075 bessel = std::sqrt(0.636619772/modvalue)*(std::cos(shift)*fact1 - arg*std::sin(shift)*fact2 );
2076 }
2077 return bessel;
2078}
2079
2080/////////////////////////////////////////////////////////////
2081//
2082// Bessel J1 function based on rational approximation from
2083// J.F. Hart, Computer Approximations, New York, Willey 1968, p. 141
2084
2085G4double G4NuclNuclDiffuseElastic::BesselJone(G4double value)
2086{
2087 G4double modvalue, value2, fact1, fact2, arg, shift, bessel;
2088
2089 modvalue = std::fabs(value);
2090
2091 if ( modvalue < 8.0 )
2092 {
2093 value2 = value*value;
2094
2095 fact1 = value*(72362614232.0 + value2*(-7895059235.0
2096 + value2*( 242396853.1
2097 + value2*(-2972611.439
2098 + value2*( 15704.48260
2099 + value2*(-30.16036606 ) ) ) ) ) );
2100
2101 fact2 = 144725228442.0 + value2*(2300535178.0
2102 + value2*(18583304.74
2103 + value2*(99447.43394
2104 + value2*(376.9991397
2105 + value2*1.0 ) ) ) );
2106 bessel = fact1/fact2;
2107 }
2108 else
2109 {
2110 arg = 8.0/modvalue;
2111
2112 value2 = arg*arg;
2113
2114 shift = modvalue - 2.356194491;
2115
2116 fact1 = 1.0 + value2*( 0.183105e-2
2117 + value2*(-0.3516396496e-4
2118 + value2*(0.2457520174e-5
2119 + value2*(-0.240337019e-6 ) ) ) );
2120
2121 fact2 = 0.04687499995 + value2*(-0.2002690873e-3
2122 + value2*( 0.8449199096e-5
2123 + value2*(-0.88228987e-6
2124 + value2*0.105787412e-6 ) ) );
2125
2126 bessel = std::sqrt( 0.636619772/modvalue)*(std::cos(shift)*fact1 - arg*std::sin(shift)*fact2);
2127
2128 if (value < 0.0) bessel = -bessel;
2129 }
2130 return bessel;
2131}
2132
2133//
2134//
2135/////////////////////////////////////////////////////////////////////////////////
epsilon
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Definition: G4DNAElectronHoleRecombination.cc:96
A
double A(double temperature)
Definition: G4DNAElectronHoleRecombination.cc:60
G4ElementTable
std::vector< G4Element * > G4ElementTable
Definition: G4ElementTable.hh:44
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G4double G4Exp(G4double initial_x)
Exponential Function double precision.
Definition: G4Exp.hh:179
a0
const G4double a0
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G4double G4Log(G4double x)
Definition: G4Log.hh:226
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Definition: G4Types.hh:83
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Definition: G4Types.hh:88
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#define G4endl
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#define G4UniformRand()
Definition: Randomize.hh:52
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Definition: LorentzVector.cc:173
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HepLorentzVector & boost(double, double, double)
Definition: LorentzVector.cc:55
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static G4Alpha * Alpha()
Definition: G4Alpha.cc:88
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static G4Deuteron * Deuteron()
Definition: G4Deuteron.cc:93
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G4ParticleDefinition * GetDefinition() const
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G4LorentzVector Get4Momentum() const
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G4double GetTotalMomentum() const
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static G4ElementTable * GetElementTable()
Definition: G4Element.cc:397
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static size_t GetNumberOfElements()
Definition: G4Element.cc:404
G4HadProjectile::GetTotalMomentum
G4double GetTotalMomentum() const
Definition: G4HadProjectile.hh:111
G4HadProjectile::GetDefinition
const G4ParticleDefinition * GetDefinition() const
Definition: G4HadProjectile.hh:86
G4HadProjectile::Get4Momentum
const G4LorentzVector & Get4Momentum() const
Definition: G4HadProjectile.hh:91
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Definition: G4HadronicInteraction.hh:89
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Definition: G4HadronicInteraction.hh:102
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static G4HadronicParameters * Instance()
Definition: G4HadronicParameters.cc:52
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static G4He3 * He3()
Definition: G4He3.cc:93
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static G4Neutron * Neutron()
Definition: G4Neutron.cc:103
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static G4NistManager * Instance()
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Definition: G4NistManager.hh:376
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G4double CalcMandelstamS(const G4double mp, const G4double mt, const G4double Plab)
Definition: G4NuclNuclDiffuseElastic.hh:1080
G4NuclNuclDiffuseElastic::GetInvElasticXsc
G4double GetInvElasticXsc(const G4ParticleDefinition *particle, G4double theta, G4double momentum, G4double A, G4double Z)
Definition: G4NuclNuclDiffuseElastic.cc:211
G4NuclNuclDiffuseElastic::ThetaLabToThetaCMS
G4double ThetaLabToThetaCMS(const G4DynamicParticle *aParticle, G4double tmass, G4double thetaLab)
Definition: G4NuclNuclDiffuseElastic.cc:1278
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Definition: G4NuclNuclDiffuseElastic.hh:456
G4NuclNuclDiffuseElastic::SampleThetaLab
G4double SampleThetaLab(const G4HadProjectile *aParticle, G4double tmass, G4double A)
Definition: G4NuclNuclDiffuseElastic.cc:1129
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G4double CalculateParticleBeta(const G4ParticleDefinition *particle, G4double momentum)
Definition: G4NuclNuclDiffuseElastic.hh:441
G4NuclNuclDiffuseElastic::TestAngleTable
void TestAngleTable(const G4ParticleDefinition *theParticle, G4double partMom, G4double Z, G4double A)
Definition: G4NuclNuclDiffuseElastic.cc:1337
G4NuclNuclDiffuseElastic::GetRatioGen
G4double GetRatioGen(G4double theta)
Definition: G4NuclNuclDiffuseElastic.cc:1972
G4NuclNuclDiffuseElastic::Profile
G4double Profile(G4double theta)
Definition: G4NuclNuclDiffuseElastic.hh:908
G4NuclNuclDiffuseElastic::AmplitudeSim
G4complex AmplitudeSim(G4double theta)
Definition: G4NuclNuclDiffuseElastic.cc:1633
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G4double GetDiffElasticSumProb(G4double theta)
Definition: G4NuclNuclDiffuseElastic.cc:477
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G4double GetInvCoulombElasticXsc(const G4ParticleDefinition *particle, G4double tMand, G4double momentum, G4double A, G4double Z)
Definition: G4NuclNuclDiffuseElastic.cc:348
G4NuclNuclDiffuseElastic::InitialiseOnFly
void InitialiseOnFly(G4double Z, G4double A)
Definition: G4NuclNuclDiffuseElastic.cc:978
G4NuclNuclDiffuseElastic::GetCoulombElasticXsc
G4double GetCoulombElasticXsc(const G4ParticleDefinition *particle, G4double theta, G4double momentum, G4double Z)
Definition: G4NuclNuclDiffuseElastic.hh:514
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G4complex AmplitudeGla(G4double theta)
Definition: G4NuclNuclDiffuseElastic.cc:1664
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G4NuclNuclDiffuseElastic::GetInvElasticSumXsc
G4double GetInvElasticSumXsc(const G4ParticleDefinition *particle, G4double tMand, G4double momentum, G4double A, G4double Z)
Definition: G4NuclNuclDiffuseElastic.cc:296
G4NuclNuclDiffuseElastic::GetLegendrePol
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Definition: G4NuclNuclDiffuseElastic.cc:1440
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G4double GetIntegrandFunction(G4double theta)
Definition: G4NuclNuclDiffuseElastic.cc:668
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G4complex AmplitudeNear(G4double theta)
Definition: G4NuclNuclDiffuseElastic.cc:1608
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G4complex AmplitudeGG(G4double theta)
Definition: G4NuclNuclDiffuseElastic.cc:1691
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Definition: G4NuclNuclDiffuseElastic.cc:1862
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Definition: G4NuclNuclDiffuseElastic.cc:684
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G4double ProfileNear(G4double theta)
Definition: G4NuclNuclDiffuseElastic.hh:871
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Definition: G4NuclNuclDiffuseElastic.cc:855
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Definition: G4NuclNuclDiffuseElastic.cc:709
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Definition: G4NuclNuclDiffuseElastic.cc:1802
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Definition: G4NuclNuclDiffuseElastic.hh:927
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Definition: G4NuclNuclDiffuseElastic.cc:2009
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Definition: G4NuclNuclDiffuseElastic.cc:261
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Definition: G4NuclNuclDiffuseElastic.hh:797
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Definition: G4NuclNuclDiffuseElastic.cc:1086
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Definition: G4NuclNuclDiffuseElastic.cc:572
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Definition: G4NuclNuclDiffuseElastic.cc:1217
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Definition: G4NuclNuclDiffuseElastic.cc:840
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Definition: G4NuclNuclDiffuseElastic.cc:723
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Definition: G4NuclNuclDiffuseElastic.cc:1767
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Definition: G4NuclNuclDiffuseElastic.hh:483
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Definition: G4NuclNuclDiffuseElastic.cc:1722
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Definition: G4NuclNuclDiffuseElastic.hh:672
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Definition: G4NuclNuclDiffuseElastic.cc:190
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virtual G4double SampleInvariantT(const G4ParticleDefinition *p, G4double plab, G4int Z, G4int A)
Definition: G4NuclNuclDiffuseElastic.cc:777
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Definition: G4NuclNuclDiffuseElastic.hh:1035
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Definition: G4NuclNuclDiffuseElastic.cc:809
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Definition: G4NuclNuclDiffuseElastic.cc:1581
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Definition: G4NuclNuclDiffuseElastic.hh:468
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Definition: G4NuclNuclDiffuseElastic.cc:1553
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