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source: trunk/source/processes/hadronic/models/chiral_inv_phase_space/cross_sections/src/G4QPionMinusNuclearCrossSection.cc @ 1315

Last change on this file since 1315 was 1315, checked in by garnier, 14 years ago
update geant4-09-04-beta-cand-01 interfaces-V09-03-09 vis-V09-03-08
File size: 17.8 KB

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1	//
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3	// * License and Disclaimer *
4	// * *
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18	// * This code implementation is the result of the scientific and *
19	// * technical work of the GEANT4 collaboration. *
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21	// * any work based on the software) you agree to acknowledge its *
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25	//
26	//
27	// The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
28	// GEANT4 tag $Name: geant4-09-04-beta-cand-01 $
29	//
30	//
31	// G4 Physics class: G4QPionMinusNuclearCrossSection for gamma+A cross sections
32	// Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03
33	// The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04
34	// --------------------------------------------------------------------------------
35	// ****************************************************************************************
36	// *** This HEADER is a property of the CHIPS hadronic package in Geant4 (M. Kosov) ***
37	// ********* DO NOT MAKE ANY CHANGE without approval of Mikhail.Kossov@cern.ch ********
38	// ****************************************************************************************
39	// Short description: CHIPS cross-sections for pi(minus)-nuclear interactions
40	// -------------------------------------------------------------------------------------
41	//
42	//#define debug
43	//#define pdebug
44	//#define debug3
45	//#define debugn
46	//#define debugs
47
48	#include "G4QPionMinusNuclearCrossSection.hh"
49
50	// Initialization of the
51	G4double* G4QPionMinusNuclearCrossSection::lastLEN=0; // Pointer to lastArray of LowEn CS
52	G4double* G4QPionMinusNuclearCrossSection::lastHEN=0; // Pointer to lastArray of HighEn CS
53	G4int G4QPionMinusNuclearCrossSection::lastN=0; // The last N of calculated nucleus
54	G4int G4QPionMinusNuclearCrossSection::lastZ=0; // The last Z of calculated nucleus
55	G4double G4QPionMinusNuclearCrossSection::lastP=0.; // Last used cross section Momentum
56	G4double G4QPionMinusNuclearCrossSection::lastTH=0.; // Last threshold momentum
57	G4double G4QPionMinusNuclearCrossSection::lastCS=0.; // Last value of the Cross Section
58	G4int G4QPionMinusNuclearCrossSection::lastI=0; // The last position in the DAMDB
59	std::vector<G4double> G4QPionMinusNuclearCrossSection::LEN = new std::vector<G4double*>;
60	std::vector<G4double> G4QPionMinusNuclearCrossSection::HEN = new std::vector<G4double*>;
61
62	// Returns Pointer to the G4VQCrossSection class
63	G4VQCrossSection* G4QPionMinusNuclearCrossSection::GetPointer()
64	{
65	static G4QPionMinusNuclearCrossSection theCrossSection; //Static body of Cross Section
66	return &theCrossSection;
67	}
68
69	G4QPionMinusNuclearCrossSection::~G4QPionMinusNuclearCrossSection()
70	{
71	G4int lens=LEN->size();
72	for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i];
73	delete LEN;
74	G4int hens=HEN->size();
75	for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i];
76	delete HEN;
77	}
78
79	// The main member function giving the collision cross section (P is in IU, CS is in mb)
80	// Make pMom in independent units ! (Now it is MeV)
81	G4double G4QPionMinusNuclearCrossSection::GetCrossSection(G4bool fCS, G4double pMom,
82	G4int tgZ, G4int tgN, G4int PDG)
83	{
84	static G4double tolerance=0.001; // Tolerance (0.1%) to consider as "the same mom"
85	static G4int j; // A#0f Z/N-records already tested in AMDB
86	static std::vector <G4int> colN; // Vector of N for calculated nuclei (isotops)
87	static std::vector <G4int> colZ; // Vector of Z for calculated nuclei (isotops)
88	static std::vector <G4double> colP; // Vector of last momenta for the reaction
89	static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction
90	static std::vector <G4double> colCS; // Vector of last cross sections for the reaction
91	// *---* End of the mandatory Static Definitions of the Associative Memory *---*
92	#ifdef debug
93	G4cout<<"G4QPimNCS::GetCS:>>>f="<<fCS<<",p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="<<tgN
94	<<"("<<lastN<<"), PDG=-211, thresh="<<lastTH<<",Sz="<<colN.size()<<G4endl;
95	#endif
96	if(PDG!=-211) G4cout<<"-Warning-G4QPiMinusCS::GetCS:Not a PiMinus,PDG="<<PDG<<G4endl;
97	G4bool in=false; // By default the isotope must be found in the AMDB
98	if(tgN!=lastN \|\| tgZ!=lastZ) // The nucleus was not the last used isotope
99	{
100	in = false; // By default the isotope haven't be found in AMDB
101	lastP = 0.; // New momentum history (nothing to compare with)
102	lastN = tgN; // The last N of the calculated nucleus
103	lastZ = tgZ; // The last Z of the calculated nucleus
104	lastI = colN.size(); // Size of the Associative Memory DB in the heap
105	j = 0; // A#0f records found in DB for this projectile
106	#ifdef debug
107	G4cout<<"G4QPimNucCS::GetCS: the amount of records in the AMDB lastI="<<lastI<<G4endl;
108	#endif
109	if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
110	{
111	if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
112	{
113	lastI=i; // Remember the index for future fast/last use
114	lastTH =colTH[i]; // The last THreshold (A-dependent)
115	#ifdef debug
116	G4cout<<"G4QPimCS::GetCS:FoundP="<<pMom<<",Threshold="<<lastTH<<",j="<<j<<G4endl;
117	#endif
118	if(pMom<=lastTH)
119	{
120	#ifdef debug
121	G4cout<<"G4QPCS::GetCS:Found,P="<<pMom<<" < Threshold="<<lastTH<<",CS=0"<<G4endl;
122	#endif
123	return 0.; // Energy is below the Threshold value
124	}
125	lastP =colP [i]; // Last Momentum (A-dependent)
126	lastCS =colCS[i]; // Last CrossSect (A-dependent)
127	if(std::fabs(lastP-pMom)<tolerance*pMom)
128	//if(lastP==pMom) // VI do not use tolerance
129	{
130	#ifdef debug
131	G4cout<<"G4QPimNCS::GetCS:.DoNothing.P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
132	#endif
133	//CalculateCrossSection(fCS,-1,j,-211,lastZ,lastN,pMom); // Update param's only
134	return lastCS*millibarn; // Use theLastCS
135	}
136	in = true; // This is the case when the isotop is found in DB
137	// Momentum pMom is in IU ! @@ Units
138	#ifdef debug
139	G4cout<<"G4QPimNCS::G:UpdDB,P="<<pMom<<",f="<<fCS<<",lI="<<lastI<<",j="<<j<<G4endl;
140	#endif
141	lastCS=CalculateCrossSection(fCS,-1,j,-211,lastZ,lastN,pMom); // read & update
142	#ifdef debug
143	G4cout<<"G4QPimNucCS::GetCrosSec:*****> New (inDB) Calculated CS="<<lastCS<<G4endl;
144	#endif
145	if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
146	{
147	#ifdef debug
148	G4cout<<"G4QPimNucCS::GetCS:New P="<<pMom<<"(CS=0) > Threshold="<<lastTH<<G4endl;
149	#endif
150	lastCS=0.;
151	lastTH=pMom;
152	}
153	break; // Go out of the LOOP
154	}
155	#ifdef debug
156	G4cout<<"-->G4QPimNucCrossSec::GetCrosSec: pPDG=-211, j="<<j<<", N="<<colN[i]
157	<<",Z["<<i<<"]="<<colZ[i]<<G4endl;
158	#endif
159	j++; // Increment a#0f records found in DB
160	}
161	#ifdef debug
162	G4cout<<"-?-G4QPimCS::GetCS:R,Z="<<tgZ<<",N="<<tgN<<",in="<<in<<",j="<<j<<" ?"<<G4endl;
163	#endif
164	if(!in) // This isotope has not been calculated previously
165	{
166	#ifdef debug
167	G4cout<<"^^^G4QPimCS::GetCS:CalcNewP="<<pMom<<", f="<<fCS<<", lastI="<<lastI<<G4endl;
168	#endif
169	//!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
170	lastCS=CalculateCrossSection(fCS,0,j,-211,lastZ,lastN,pMom); //calculate & create
171	//if(lastCS>0.) // It means that the AMBD was initialized
172	//{
173
174	lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
175	#ifdef debug
176	G4cout<<"G4QPimNucCrossSec::GetCrossSect: NewThresh="<<lastTH<<",P="<<pMom<<G4endl;
177	#endif
178	colN.push_back(tgN);
179	colZ.push_back(tgZ);
180	colP.push_back(pMom);
181	colTH.push_back(lastTH);
182	colCS.push_back(lastCS);
183	#ifdef debug
184	G4cout<<"G4QPimCS::GetCrosSec:reCS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl;
185	#endif
186	//} // M.K. Presence of H1 with high threshold breaks the syncronization
187	#ifdef pdebug
188	G4cout<<"G4QPimCS::GeCS:1st,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
189	#endif
190	return lastCS*millibarn;
191	} // End of creation of the new set of parameters
192	else
193	{
194	#ifdef debug
195	G4cout<<"G4QPimNucCrossSect::GetCS: Update lastI="<<lastI<<", j="<<j<<G4endl;
196	#endif
197	colP[lastI]=pMom;
198	colCS[lastI]=lastCS;
199	}
200	} // End of parameters udate
201	else if(pMom<=lastTH)
202	{
203	#ifdef debug
204	G4cout<<"G4QPimCS::GetCS: Current P="<<pMom<<" < Threshold="<<lastTH<<", CS=0"<<G4endl;
205	#endif
206	return 0.; // Momentum is below the Threshold Value -> CS=0
207	}
208	else if(std::fabs(lastP-pMom)<tolerance*pMom)
209	//else if(lastP==pMom) // VI do not use tolerance
210	{
211	#ifdef debug
212	G4cout<<"..G4QPCS::GetCS:OldNZ&P="<<lastP<<"="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
213	#endif
214	return lastCS*millibarn; // Use theLastCS
215	}
216	else // It is the last used -> use the current tables
217	{
218	#ifdef debug
219	G4cout<<"-!-G4QPCS::GetCS:UseCur P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl;
220	#endif
221	lastCS=CalculateCrossSection(fCS,1,j,-211,lastZ,lastN,pMom); // Only read and UpdateDB
222	lastP=pMom;
223	}
224	#ifdef debug
225	G4cout<<"==>G4QPimCS::GetCroSec:P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
226	#endif
227	return lastCS*millibarn;
228	}
229
230	// The main member function giving the gamma-A cross section (E in GeV, CS in mb)
231	G4double G4QPionMinusNuclearCrossSection::CalculateCrossSection(G4bool, G4int F, G4int I,
232	G4int, G4int targZ, G4int targN, G4double Momentum)
233	{
234	static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
235	static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
236	static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
237	static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
238	static const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
239	static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
240	static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
241	static const G4int nH=224; // A#of HEN points in lnE
242	static const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
243	static const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
244	static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
245	static const G4double milPG=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
246	#ifdef debug
247	G4cout<<"G4QPimNCS::CalcCS:N="<<targN<<",Z="<<targZ<<",P="<<Momentum<<">"<<THmin<<G4endl;
248	#endif
249	G4double sigma=0.;
250	if(F&&I) sigma=0.; // @@ ! Fake line ! to use F & I !!!Temporary!!!
251	G4double A=targN+targZ; // A of the target
252	#ifdef debug
253	G4cout<<"G4QPimNucCS::CalcCS: A="<<A<<",F="<<F<<",I="<<I<<",nL="<<nL<<",nH="<<nH<<G4endl;
254	#endif
255	if(F<=0) // This isotope was not the last used isotop
256	{
257	if(F<0) // This isotope was found in DAMDB =======> RETRIEVE
258	{
259	G4int sync=LEN->size();
260	if(sync<=I) G4cerr<<"!G4QPiMinusNuclCS::CalcCrosSect:Sync="<<sync<<"<="<<I<<G4endl;
261	lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
262	lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
263	}
264	else // This isotope wasn't calculated before => CREATE
265	{
266	lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
267	lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
268	// --- Instead of making a separate function ---
269	G4double P=THmiG; // Table threshold in GeV/c
270	for(G4int m=0; m<nL; m++)
271	{
272	lastLEN[m] = CrossSectionLin(targZ, targN, P);
273	P+=dPG;
274	}
275	G4double lP=milPG;
276	for(G4int n=0; n<nH; n++)
277	{
278	lastHEN[n] = CrossSectionLog(targZ, targN, lP);
279	lP+=dlP;
280	}
281	#ifdef debug
282	G4cout<<"-*->G4QPimNucCS::CalcCS: Tab for Z="<<targZ<<",N="<<targN<<",I="<<I<<G4endl;
283	#endif
284	// --- End of possible separate function
285	// * The synchronization check *
286	G4int sync=LEN->size();
287	if(sync!=I)
288	{
289	G4cerr<<"***G4QPiMinusNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
290	<<", N="<<targN<<", F="<<F<<G4endl;
291	//G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow");
292	}
293	LEN->push_back(lastLEN); // remember the Low Energy Table
294	HEN->push_back(lastHEN); // remember the High Energy Table
295	} // End of creation of the new set of parameters
296	} // End of parameters udate
297	// ============================== NOW the Magic Formula =================================
298	#ifdef debug
299	G4cout<<"G4QPimNCS::CalcCS:lTH="<<lastTH<<",Pi="<<Pmin<<",dP="<<dP<<",dlP="<<dlP<<G4endl;
300	#endif
301	if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
302	else if (Momentum<Pmin) // High Energy region
303	{
304	#ifdef debug
305	G4cout<<"G4QPimNCS::CalcCS:bLEN A="<<A<<", nL="<<nL<<",TH="<<THmin<<",dP="<<dP<<G4endl;
306	#endif
307	if(A<=1.) sigma=0.;
308	else sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
309	#ifdef debugn
310	if(sigma<0.)
311	G4cout<<"G4QPimNCS::CalcCS:A="<<A<<",E="<<Momentum<<",T="<<THmin<<",dP="<<dP<<G4endl;
312	#endif
313	}
314	else if (Momentum<Pmax) // High Energy region
315	{
316	G4double lP=std::log(Momentum);
317	#ifdef debug
318	G4cout<<"G4QPimNucCS::CalcCS: before HEN nH="<<nH<<",iE="<<milP<<",dlP="<<dlP<<G4endl;
319	#endif
320	sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
321	}
322	else // UHE region (calculation, not frequent)
323	{
324	G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
325	sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
326	}
327	#ifdef debug
328	G4cout<<"G4QPionMinusNuclearCrossSection::CalcCS: CS="<<sigma<<G4endl;
329	#endif
330	if(sigma<0.) return 0.;
331	return sigma;
332	}
333
334	// Calculation formula for piMinus-nuclear inelastic cross-section (mb) (P in GeV/c)
335	G4double G4QPionMinusNuclearCrossSection::CrossSectionLin(G4int tZ, G4int tN, G4double P)
336	{
337	G4double lP=std::log(P);
338	return CrossSectionFormula(tZ, tN, P, lP);
339	}
340
341	// Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
342	G4double G4QPionMinusNuclearCrossSection::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
343	{
344	G4double P=std::exp(lP);
345	return CrossSectionFormula(tZ, tN, P, lP);
346	}
347	// Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
348	G4double G4QPionMinusNuclearCrossSection::CrossSectionFormula(G4int tZ, G4int tN,
349	G4double P, G4double lP)
350	{
351	G4double sigma=0.;
352	if(tZ==1 && !tN) // PiMin-Proton interaction from G4QuasiElRatios
353	{
354	G4double ld=lP-3.5;
355	G4double ld2=ld*ld;
356	G4double p2=P*P;
357	G4double p4=p2*p2;
358	G4double sp=std::sqrt(P);
359	G4double lm=lP+.36;
360	G4double md=lm*lm+.04;
361	G4double lh=lP-.017;
362	G4double hd=lh*lh+.0025;
363	G4double El=(.0557*ld2+2.4+7./sp)/(1.+.7/p4);
364	G4double To=(.3*ld2+22.3+12./sp)/(1.+.4/p4);
365	sigma=(To-El)+.4/md+.01/hd;
366	}
367	else if(tZ==1 && tN==1) // pimp_tot
368	{
369	G4double p2=P*P;
370	G4double d=lP-2.7;
371	G4double f=lP+1.25;
372	G4double g=lP-.017;
373	sigma=(.55dd+38.+23./std::sqrt(P))/(1.+.3/p2/p2)+18./(ff+.1089)+.02/(gg+.0025);
374	}
375	else if(tZ<97 && tN<152) // General solution
376	{
377	G4double d=lP-4.2;
378	G4double p2=P*P;
379	G4double p4=p2*p2;
380	G4double a=tN+tZ; // A of the target
381	G4double al=std::log(a);
382	G4double sa=std::sqrt(a);
383	G4double ssa=std::sqrt(sa);
384	G4double a2=a*a;
385	G4double c=41.std::exp(al.68)*(1.+44./a2)/(1.+8./a)/(1.+200./a2/a2);
386	G4double f=120*sa/(1.+24./a/ssa);
387	G4double g=-1.32-al*.043;
388	G4double u=lP-g;
389	G4double h=al(.388-.046al);
390	sigma=(c+dd)/(1.+.17/p4)+f/(uu+h*h);
391	#ifdef pdebug
392	G4cout<<"G4QPiMinusNucCS::CSForm: A="<<a<<",P="<<P<<",CS="<<sigma<<",c="<<c<<",g="<<g
393	<<",d="<<d<<",r="<<r<<",e="<<e<<",h="<<h<<G4endl;
394	#endif
395	}
396	else
397	{
398	G4cerr<<"-Warning-G4QPiMinusNuclearCroSect::CSForm:Bad A Z="<<tZ<<", N="<<tN<<G4endl;
399	sigma=0.;
400	}
401	if(sigma<0.) return 0.;
402	return sigma;
403	}

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