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G4QAntiBaryonNuclearCrossSection.cc
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27 // The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
28 // GEANT4 tag $Name: not supported by cvs2svn $
29 //
30 //
31 // G4 Physics class: G4QAntiBaryonNuclearCrossSection 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 part of the CHIPS physics package (author: M. Kosov)
37 // ****************************************************************************************
38 // Short description: CHIPS cross-sections for AntiBaryon(minus&zero)-nuclear interactions
39 // ----------------------------------------------------------------------------------------
40 //
41 //#define debug
42 //#define pdebug
43 //#define debug3
44 //#define debugn
45 //#define debugs
46 
47 #include "G4QAntiBaryonNuclearCrossSection.hh"
48 #include "G4SystemOfUnits.hh"
49 
50 // Initialization of the
51 G4double* G4QAntiBaryonNuclearCrossSection::lastLEN=0; // Pointer to lastArray of LowEn CS
52 G4double* G4QAntiBaryonNuclearCrossSection::lastHEN=0; // Pointer to lastArray of HighEn CS
53 G4int G4QAntiBaryonNuclearCrossSection::lastN=0; // The last N of calculated nucleus
54 G4int G4QAntiBaryonNuclearCrossSection::lastZ=0; // The last Z of calculated nucleus
55 G4double G4QAntiBaryonNuclearCrossSection::lastP=0.; // Last used Cross Section Momentum
56 G4double G4QAntiBaryonNuclearCrossSection::lastTH=0.; // Last threshold momentum
57 G4double G4QAntiBaryonNuclearCrossSection::lastCS=0.; // Last value of the Cross Section
58 G4int G4QAntiBaryonNuclearCrossSection::lastI=0; // The last position in the DAMDB
59 std::vector<G4double*>* G4QAntiBaryonNuclearCrossSection::LEN = new std::vector<G4double*>;
60 std::vector<G4double*>* G4QAntiBaryonNuclearCrossSection::HEN = new std::vector<G4double*>;
61 
62 // Returns Pointer to the G4VQCrossSection class
63 G4VQCrossSection* G4QAntiBaryonNuclearCrossSection::GetPointer()
64 {
65  static G4QAntiBaryonNuclearCrossSection theCrossSection; //*Static body of Cross Section*
66  return &theCrossSection;
67 }
68 
69 G4QAntiBaryonNuclearCrossSection::~G4QAntiBaryonNuclearCrossSection()
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 G4QAntiBaryonNuclearCrossSection::GetCrossSection(G4bool fCS, G4double pMom,
82  G4int tgZ, G4int tgN, G4int PDG)
83 {
84  //A.R.23-Oct-2012 Shadowed variable 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<<"G4QaBCS::GetCS:>>> f="<<fCS<<", p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="<<tgN
94  <<"("<<lastN<<"),PDG="<<PDG<<", thresh="<<lastTH<<",Sz="<<colN.size()<<G4endl;
95 #endif
96  if(PDG>-2111 || PDG==-3112 || PDG==-3312 || PDG==-3334)
97  G4cout<<"-Warning-G4QAntiBaryonCS::GetCS: Not Negat/Zero AntiBaryon,PDG="<<PDG<<G4endl;
98  G4bool in=false; // By default the isotope must be found in the AMDB
99  if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
100  {
101  in = false; // By default the isotope haven't be found in AMDB
102  lastP = 0.; // New momentum history (nothing to compare with)
103  lastN = tgN; // The last N of the calculated nucleus
104  lastZ = tgZ; // The last Z of the calculated nucleus
105  lastI = colN.size(); // Size of the Associative Memory DB in the heap
106  j = 0; // A#0f records found in DB for this projectile
107 #ifdef debug
108  G4cout<<"G4QaBarNucCS::GetCS: the amount of records in the AMDB lastI="<<lastI<<G4endl;
109 #endif
110  if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
111  {
112  if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
113  {
114  lastI=i; // Remember the index for future fast/last use
115  lastTH =colTH[i]; // The last THreshold (A-dependent)
116 #ifdef debug
117  G4cout<<"G4QaBCS::GetCS:*Found* P="<<pMom<<",Threshold="<<lastTH<<",j="<<j<<G4endl;
118 #endif
119  if(pMom<=lastTH)
120  {
121 #ifdef debug
122  G4cout<<"G4QPCS::GetCS:Found,P="<<pMom<<" < Threshold="<<lastTH<<",CS=0"<<G4endl;
123 #endif
124  return 0.; // Energy is below the Threshold value
125  }
126  lastP =colP [i]; // Last Momentum (A-dependent)
127  lastCS =colCS[i]; // Last CrossSect (A-dependent)
128  if(std::fabs(lastP-pMom)<tolerance*pMom)
129  //if(lastP==pMom) // VI do not use tolerance
130  {
131 #ifdef debug
132  G4cout<<"..G4QaBCS::GetCS:.DoNothing.P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
133 #endif
134  //CalculateCrossSection(fCS,-1,j,PDG,lastZ,lastN,pMom); // Update param's only
135  return lastCS*millibarn; // Use theLastCS
136  }
137  in = true; // This is the case when the isotop is found in DB
138  // Momentum pMom is in IU ! @@ Units
139 #ifdef debug
140  G4cout<<"G4QaBCS::G:UpdatDB P="<<pMom<<",f="<<fCS<<",lI="<<lastI<<",j="<<j<<G4endl;
141 #endif
142  lastCS=CalculateCrossSection(fCS,-1,j,PDG,lastZ,lastN,pMom); // read & update
143 #ifdef debug
144  G4cout<<"G4QaBCS::GetCrosSec: *****> New (inDB) Calculated CS="<<lastCS<<G4endl;
145 #endif
146  if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
147  {
148 #ifdef debug
149  G4cout<<"G4QaBNucCS::GetCS: New P="<<pMom<<"(CS=0) > Threshold="<<lastTH<<G4endl;
150 #endif
151  lastCS=0.;
152  lastTH=pMom;
153  }
154  break; // Go out of the LOOP
155  }
156 #ifdef debug
157  G4cout<<"-->G4QaBNucCrossSec::GetCrosSec: pPDG="<<PDG<<", j="<<j<<", N="<<colN[i]
158  <<",Z["<<i<<"]="<<colZ[i]<<G4endl;
159 #endif
160  j++; // Increment a#0f records found in DB
161  }
162 #ifdef debug
163  G4cout<<"-?-G4QaBCS::GetCS:RC Z="<<tgZ<<",N="<<tgN<<",in="<<in<<",j="<<j<<" ?"<<G4endl;
164 #endif
165  if(!in) // This isotope has not been calculated previously
166  {
167 #ifdef debug
168  G4cout<<"^^^G4QaBCS::GetCS:CalcNew P="<<pMom<<", f="<<fCS<<", lastI="<<lastI<<G4endl;
169 #endif
170  lastCS=CalculateCrossSection(fCS,0,j,PDG,lastZ,lastN,pMom); //calculate & create
172  //if(lastCS>0.) // It means that the AMBD was initialized
173  //{
174 
175  lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
176 #ifdef debug
177  G4cout<<"G4QaBCrossSection::GetCrossSect: NewThresh="<<lastTH<<",P="<<pMom<<G4endl;
178 #endif
179  colN.push_back(tgN);
180  colZ.push_back(tgZ);
181  colP.push_back(pMom);
182  colTH.push_back(lastTH);
183  colCS.push_back(lastCS);
184 #ifdef debug
185  G4cout<<"G4QaBCS::GetCrosSec:recCS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl;
186 #endif
187  //} // M.K. Presence of H1 with high threshold breaks the syncronization
188 #ifdef pdebug
189  G4cout<<"G4QaBCS::GetCS:1st,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
190 #endif
191  return lastCS*millibarn;
192  } // End of creation of the new set of parameters
193  else
194  {
195 #ifdef debug
196  G4cout<<"G4QAntiBaryNucCrossSection::GetCS: Update lastI="<<lastI<<",j="<<j<<G4endl;
197 #endif
198  colP[lastI]=pMom;
199  colCS[lastI]=lastCS;
200  }
201  } // End of parameters udate
202  else if(pMom<=lastTH)
203  {
204 #ifdef debug
205  G4cout<<"G4QaBNCS::GetCS: Current P="<<pMom<<" < Threshold="<<lastTH<<", CS=0"<<G4endl;
206 #endif
207  return 0.; // Momentum is below the Threshold Value -> CS=0
208  }
209  else if(std::fabs(lastP-pMom)<tolerance*pMom)
210  //else if(lastP==pMom) // VI do not use tolerance
211  {
212 #ifdef debug
213  G4cout<<"..G4QPCS::GetCS:OldNZ&P="<<lastP<<"="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
214 #endif
215  return lastCS*millibarn; // Use theLastCS
216  }
217  else // It is the last used -> use the current tables
218  {
219 #ifdef debug
220  G4cout<<"-!-G4QPCS::GetCS:UseCur P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl;
221 #endif
222  lastCS=CalculateCrossSection(fCS,1,j,PDG,lastZ,lastN,pMom); // Only read and UpdateDB
223  lastP=pMom;
224  }
225 #ifdef debug
226  G4cout<<"==>G4QaBCS::GetCroSec: P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
227 #endif
228  return lastCS*millibarn;
229 }
230 
231 // The main member function giving the gamma-A cross section (E in GeV, CS in mb)
232 G4double G4QAntiBaryonNuclearCrossSection::CalculateCrossSection(G4bool, G4int F, G4int I,
233  G4int, G4int targZ, G4int targN, G4double Momentum)
234 {
235  static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
236  static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
237  static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
238  static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
239  static const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
240  static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
241  static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
242  static const G4int nH=224; // A#of HEN points in lnE
243  static const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
244  static const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
245  static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
246  static const G4double milPG=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
247 #ifdef debug
248  G4cout<<"G4QaBarNCS::CalCS:N="<<targN<<",Z="<<targZ<<",P="<<Momentum<<">"<<THmin<<G4endl;
249 #endif
250  G4double sigma=0.;
251  if(F&&I) sigma=0.; // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
252  //G4double A=targN+targZ; // A of the target
253 #ifdef debug
254  G4cout<<"G4QaBarNucCS::CalCS: A="<<A<<",F="<<F<<",I="<<I<<",nL="<<nL<<",nH="<<nH<<G4endl;
255 #endif
256  if(F<=0) // This isotope was not the last used isotop
257  {
258  if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
259  {
260  G4int sync=LEN->size();
261  if(sync<=I) G4cerr<<"*!*G4QPiMinusNuclCS::CalcCrosSect:Sync="<<sync<<"<="<<I<<G4endl;
262  lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
263  lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
264  }
265  else // This isotope wasn't calculated before => CREATE
266  {
267  lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
268  lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
269  // --- Instead of making a separate function ---
270  G4double P=THmiG; // Table threshold in GeV/c
271  for(G4int n=0; n<nL; n++)
272  {
273  lastLEN[n] = CrossSectionLin(targZ, targN, P);
274  P+=dPG;
275  }
276  G4double lP=milPG;
277  for(G4int n=0; n<nH; n++)
278  {
279  lastHEN[n] = CrossSectionLog(targZ, targN, lP);
280  lP+=dlP;
281  }
282 #ifdef debug
283  G4cout<<"-*->G4QaBarNucCS::CalcCS:Tab for Z="<<targZ<<",N="<<targN<<",I="<<I<<G4endl;
284 #endif
285  // --- End of possible separate function
286  // *** The synchronization check ***
287  G4int sync=LEN->size();
288  if(sync!=I)
289  {
290  G4cerr<<"***G4QPiMinusNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
291  <<", N="<<targN<<", F="<<F<<G4endl;
292  //G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow");
293  }
294  LEN->push_back(lastLEN); // remember the Low Energy Table
295  HEN->push_back(lastHEN); // remember the High Energy Table
296  } // End of creation of the new set of parameters
297  } // End of parameters udate
298  // =-------------------= NOW the Magic Formula =--------------------=
299 #ifdef debug
300  G4cout<<"G4QaBNCS::CalcCS:lTH="<<lastTH<<",Pmi="<<Pmin<<",dP="<<dP<<",dlP="<<dlP<<G4endl;
301 #endif
302  if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
303  else if (Momentum<Pmin) // High Energy region
304  {
305 #ifdef debug
306  G4cout<<"G4QaBNCS::CalcCS:bLEN nL="<<nL<<",TH="<<THmin<<",dP="<<dP<<G4endl;
307 #endif
308  sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
309 #ifdef debugn
310  if(sigma<0.)
311  G4cout<<"G4QaBNuCS::CalcCS: 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<<"G4QaBarNucCS::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<<"G4QAntiBaryonNuclearCrossSection::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 G4QAntiBaryonNuclearCrossSection::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 G4QAntiBaryonNuclearCrossSection::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 G4QAntiBaryonNuclearCrossSection::CrossSectionFormula(G4int tZ, G4int tN,
349  G4double P, G4double lP)
350 {
351  G4double sigma=0.;
352  if(tZ==1 && !tN) // AntiBar-Prot interaction from G4QuasiElRatios
353  {
354  G4double ld=lP-3.5;
355  G4double ld2=ld*ld;
356  G4double ye=std::exp(lP*1.25);
357  G4double yt=std::exp(lP*0.35);
358  G4double El=80./(ye+1.);
359  G4double To=(80./yt+.3)/yt;
360  sigma=(To-El)+.2443*ld2+31.48;
361  }
362  else if(tZ==1 && tN==1)
363  {
364  G4double r=lP-3.7;
365  sigma=0.6*r*r+67.+90.*std::exp(-lP*.666);
366  }
367  else if(tZ<97 && tN<152) // General solution
368  {
369  G4double d=lP-4.2;
370  G4double sp=std::sqrt(P);
371  G4double a=tN+tZ; // A of the target
372  G4double sa=std::sqrt(a);
373  G4double a2=a*a;
374  G4double a3=a2*a;
375  G4double a2s=a2*sa;
376  G4double c=(170.+3600./a2s)/(1.+65./a2s)+40.*std::pow(a,0.712)/(1.+12.2/a)/(1.+34./a2);
377  G4double r=(170.+0.01*a3)/(1.+a3/28000.);
378  sigma=c+d*d+r/sp;
379 #ifdef pdebug
380  G4cout<<"G4QAntiBarNucCS::CSForm: A="<<a<<",P="<<P<<",CS="<<sigma<<",c="<<c<<",g="<<g
381  <<",d="<<d<<",r="<<r<<",e="<<e<<",h="<<h<<G4endl;
382 #endif
383  }
384  else
385  {
386  G4cerr<<"-Warning-G4QAntiBarNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
387  sigma=0.;
388  }
389  if(sigma<0.) return 0.;
390  return sigma;
391 }
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