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G4QAntiBaryonPlusNuclearCrossSection.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: G4QAntiBaryonPlusNuclearCrossSection 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(plus)-nuclear interactions
39 // -------------------------------------------------------------------------------------
40 //
41 //#define debug
42 //#define pdebug
43 //#define debug3
44 //#define debugn
45 //#define debugs
46 
47 #include "G4QAntiBaryonPlusNuclearCrossSection.hh"
48 #include "G4SystemOfUnits.hh"
49 
50 // Initialization of the
51 G4double* G4QAntiBaryonPlusNuclearCrossSection::lastLEN=0; // PointerToLastArray ofLowEn CS
52 G4double* G4QAntiBaryonPlusNuclearCrossSection::lastHEN=0; // PointerToLastArray ofHighEnCS
53 G4int G4QAntiBaryonPlusNuclearCrossSection::lastN=0; // TheLastN of calculatedNucleus
54 G4int G4QAntiBaryonPlusNuclearCrossSection::lastZ=0; // TheLastZ of calculatedNucleus
55 G4double G4QAntiBaryonPlusNuclearCrossSection::lastP=0.; // LastUsedCrossSectionMomentum
56 G4double G4QAntiBaryonPlusNuclearCrossSection::lastTH=0.; // Last threshold momentum
57 G4double G4QAntiBaryonPlusNuclearCrossSection::lastCS=0.; // LastValue of the CrossSection
58 G4int G4QAntiBaryonPlusNuclearCrossSection::lastI=0; // TheLastPosition in the DAMDB
59 std::vector<G4double*>* G4QAntiBaryonPlusNuclearCrossSection::LEN =
60  new std::vector<G4double*>;
61 std::vector<G4double*>* G4QAntiBaryonPlusNuclearCrossSection::HEN =
62  new std::vector<G4double*>;
63 
64 // Returns Pointer to the G4VQCrossSection class
65 G4VQCrossSection* G4QAntiBaryonPlusNuclearCrossSection::GetPointer()
66 {
67  static G4QAntiBaryonPlusNuclearCrossSection theCrossSection;//Static body of CrossSection
68  return &theCrossSection;
69 }
70 
71 G4QAntiBaryonPlusNuclearCrossSection::~G4QAntiBaryonPlusNuclearCrossSection()
72 {
73  G4int lens=LEN->size();
74  for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i];
75  delete LEN;
76  G4int hens=HEN->size();
77  for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i];
78  delete HEN;
79 }
80 
81 // The main member function giving the collision cross section (P is in IU, CS is in mb)
82 // Make pMom in independent units ! (Now it is MeV)
83 G4double G4QAntiBaryonPlusNuclearCrossSection::GetCrossSection(G4bool fCS, G4double pMom,
84  G4int tgZ, G4int tgN, G4int PDG)
85 {
86  //A.R.23-Oct-2012 Shadowed variable static G4double tolerance=0.001; // Tolerance (0.1%) to consider as "the same mom"
87  static G4int j; // A#0f Z/N-records already tested in AMDB
88  static std::vector <G4int> colN; // Vector of N for calculated nuclei (isotops)
89  static std::vector <G4int> colZ; // Vector of Z for calculated nuclei (isotops)
90  static std::vector <G4double> colP; // Vector of last momenta for the reaction
91  static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction
92  static std::vector <G4double> colCS; // Vector of last cross sections for the reaction
93  // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---***
94 #ifdef debug
95  G4cout<<"G4QaBPCS::GetCS:>>>f="<<fCS<<", p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="<<tgN
96  <<"("<<lastN<<"),PDG="<<PDG<<", thresh="<<lastTH<<",Sz="<<colN.size()<<G4endl;
97 #endif
98  if(PDG!=-3112 && PDG!=-3312 && PDG!=-3334)
99  G4cout<<"-Warning-G4QAntiBaryonPlusCS::GetCS: Not a PositiveAntiBar,PDG="<<PDG<<G4endl;
100  G4bool in=false; // By default the isotope must be found in the AMDB
101  if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
102  {
103  in = false; // By default the isotope haven't be found in AMDB
104  lastP = 0.; // New momentum history (nothing to compare with)
105  lastN = tgN; // The last N of the calculated nucleus
106  lastZ = tgZ; // The last Z of the calculated nucleus
107  lastI = colN.size(); // Size of the Associative Memory DB in the heap
108  j = 0; // A#0f records found in DB for this projectile
109 #ifdef debug
110  G4cout<<"G4QABPNuclCS::GetCS: the amount of records in the AMDB lastI="<<lastI<<G4endl;
111 #endif
112  if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
113  {
114  if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
115  {
116  lastI=i; // Remember the index for future fast/last use
117  lastTH =colTH[i]; // The last THreshold (A-dependent)
118 #ifdef debug
119  G4cout<<"G4QaBPCS::GetCS:*Found*P="<<pMom<<",Threshold="<<lastTH<<",j="<<j<<G4endl;
120 #endif
121  if(pMom<=lastTH)
122  {
123 #ifdef debug
124  G4cout<<"G4QPCS::GetCS:Found,P="<<pMom<<" < Threshold="<<lastTH<<",CS=0"<<G4endl;
125 #endif
126  return 0.; // Energy is below the Threshold value
127  }
128  lastP =colP [i]; // Last Momentum (A-dependent)
129  lastCS =colCS[i]; // Last CrossSect (A-dependent)
130  if(std::fabs(lastP-pMom)<tolerance*pMom)
131  //if(lastP==pMom) // VI do not use tolerance
132  {
133 #ifdef debug
134  G4cout<<"G4QaBPNCS::GetCS:.DoNothing.P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
135 #endif
136  //CalculateCrossSection(fCS,-1,j,PDG,lastZ,lastN,pMom); // Update param's only
137  return lastCS*millibarn; // Use theLastCS
138  }
139  in = true; // This is the case when the isotop is found in DB
140  // Momentum pMom is in IU ! @@ Units
141 #ifdef debug
142  G4cout<<"G4QaBPNCS::G:UpdDB,P="<<pMom<<",f="<<fCS<<",lI="<<lastI<<",j="<<j<<G4endl;
143 #endif
144  lastCS=CalculateCrossSection(fCS,-1,j,PDG,lastZ,lastN,pMom); // read & update
145 #ifdef debug
146  G4cout<<"G4QaBPNuCS::GetCrosSec: *****> New (inDB) Calculated CS="<<lastCS<<G4endl;
147 #endif
148  if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
149  {
150 #ifdef debug
151  G4cout<<"G4QaBPNuCS::GetCS: New P="<<pMom<<"(CS=0) > Threshold="<<lastTH<<G4endl;
152 #endif
153  lastCS=0.;
154  lastTH=pMom;
155  }
156  break; // Go out of the LOOP
157  }
158 #ifdef debug
159  G4cout<<"-->G4QaBarPNucCrossSec::GetCrosSec: pPDG="<<PDG<<", j="<<j<<", N="<<colN[i]
160  <<",Z["<<i<<"]="<<colZ[i]<<G4endl;
161 #endif
162  j++; // Increment a#0f records found in DB
163  }
164 #ifdef debug
165  G4cout<<"-?-G4QaBPNCS::GeCS:R,Z="<<tgZ<<",N="<<tgN<<",in="<<in<<",j="<<j<<" ?"<<G4endl;
166 #endif
167  if(!in) // This isotope has not been calculated previously
168  {
169 #ifdef debug
170  G4cout<<"^^^G4QaBPCS::GetCS:CalcNewP="<<pMom<<", f="<<fCS<<", lastI="<<lastI<<G4endl;
171 #endif
172  lastCS=CalculateCrossSection(fCS,0,j,PDG,lastZ,lastN,pMom); //calculate & create
174  //if(lastCS>0.) // It means that the AMBD was initialized
175  //{
176 
177  lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
178 #ifdef debug
179  G4cout<<"G4QaBPNucCrossSec::GetCrossSect: NewThresh="<<lastTH<<",P="<<pMom<<G4endl;
180 #endif
181  colN.push_back(tgN);
182  colZ.push_back(tgZ);
183  colP.push_back(pMom);
184  colTH.push_back(lastTH);
185  colCS.push_back(lastCS);
186 #ifdef debug
187  G4cout<<"G4QaBPNCS::GetCrosSec:lCS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl;
188 #endif
189  //} // M.K. Presence of H1 with high threshold breaks the syncronization
190 #ifdef pdebug
191  G4cout<<"G4QaBPNCS::GCS:1st,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
192 #endif
193  return lastCS*millibarn;
194  } // End of creation of the new set of parameters
195  else
196  {
197 #ifdef debug
198  G4cout<<"G4QaBarPNucCrossSect::GetCrosSect: Update lastI="<<lastI<<",j="<<j<<G4endl;
199 #endif
200  colP[lastI]=pMom;
201  colCS[lastI]=lastCS;
202  }
203  } // End of parameters udate
204  else if(pMom<=lastTH)
205  {
206 #ifdef debug
207  G4cout<<"G4QaBPNuCS::GetCS:CurrentP="<<pMom<<" < Threshold="<<lastTH<<", CS=0"<<G4endl;
208 #endif
209  return 0.; // Momentum is below the Threshold Value -> CS=0
210  }
211  else if(std::fabs(lastP-pMom)<tolerance*pMom)
212  //else if(lastP==pMom) // VI do not use tolerance
213  {
214 #ifdef debug
215  G4cout<<"G4QaBPCS::GetCS:OldNZ&P="<<lastP<<"="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
216 #endif
217  return lastCS*millibarn; // Use theLastCS
218  }
219  else // It is the last used -> use the current tables
220  {
221 #ifdef debug
222  G4cout<<"-!-G4QaBPCS::GeCS:UseCurP="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl;
223 #endif
224  lastCS=CalculateCrossSection(fCS,1,j,PDG,lastZ,lastN,pMom); // Only read and UpdateDB
225  lastP=pMom;
226  }
227 #ifdef debug
228  G4cout<<"==>G4QaBPCS::GetCroSec:P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
229 #endif
230  return lastCS*millibarn;
231 }
232 
233 // The main member function giving the gamma-A cross section (E in GeV, CS in mb)
234 G4double G4QAntiBaryonPlusNuclearCrossSection::CalculateCrossSection(G4bool, G4int F, G4int I,
235  G4int, G4int targZ, G4int targN, G4double Momentum)
236 {
237  static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
238  static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
239  static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
240  static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
241  static const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
242  static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
243  static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
244  static const G4int nH=224; // A#of HEN points in lnE
245  static const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
246  static const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
247  static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
248  static const G4double milPG=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
249 #ifdef debug
250  G4cout<<"G4QaBPNuCS::CalCS:N="<<targN<<",Z="<<targZ<<",P="<<Momentum<<">"<<THmin<<G4endl;
251 #endif
252  G4double sigma=0.;
253  if(F&&I) sigma=0.; // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
254  //G4double A=targN+targZ; // A of the target
255 #ifdef debug
256  G4cout<<"G4QaBarPNucCS::CalCS:A="<<A<<",F="<<F<<",I="<<I<<",nL="<<nL<<",nH="<<nH<<G4endl;
257 #endif
258  if(F<=0) // This isotope was not the last used isotop
259  {
260  if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
261  {
262  G4int sync=LEN->size();
263  if(sync<=I) G4cerr<<"*!*G4QaBarPNuclCS::CalcCrosSect: Sync="<<sync<<"<="<<I<<G4endl;
264  lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
265  lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
266  }
267  else // This isotope wasn't calculated before => CREATE
268  {
269  lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
270  lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
271  // --- Instead of making a separate function ---
272  G4double P=THmiG; // Table threshold in GeV/c
273  for(G4int n=0; n<nL; n++)
274  {
275  lastLEN[n] = CrossSectionLin(targZ, targN, P);
276  P+=dPG;
277  }
278  G4double lP=milPG;
279  for(G4int n=0; n<nH; n++)
280  {
281  lastHEN[n] = CrossSectionLog(targZ, targN, lP);
282  lP+=dlP;
283  }
284 #ifdef debug
285  G4cout<<"-*->G4QaBarPNucCS::CalCS:Tab for Z="<<targZ<<",N="<<targN<<",I="<<I<<G4endl;
286 #endif
287  // --- End of possible separate function
288  // *** The synchronization check ***
289  G4int sync=LEN->size();
290  if(sync!=I)
291  {
292  G4cerr<<"***G4QaBarPNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
293  <<", N="<<targN<<", F="<<F<<G4endl;
294  //G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow");
295  }
296  LEN->push_back(lastLEN); // remember the Low Energy Table
297  HEN->push_back(lastHEN); // remember the High Energy Table
298  } // End of creation of the new set of parameters
299  } // End of parameters udate
300  // =--------------------= NOW the Magic Formula =--------------------=
301 #ifdef debug
302  G4cout<<"G4QaBPNCS::CalCS:lTH="<<lastTH<<",Pmi="<<Pmin<<",dP="<<dP<<",dlP="<<dlP<<G4endl;
303 #endif
304  if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
305  else if (Momentum<Pmin) // High Energy region
306  {
307 #ifdef debug
308  G4cout<<"G4QaBPNCS::CalcCS:bLEN nL="<<nL<<",TH="<<THmin<<",dP="<<dP<<G4endl;
309 #endif
310  sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
311 #ifdef debugn
312  if(sigma<0.)
313  G4cout<<"G4QaBPNCS::CalcCS: E="<<Momentum<<",T="<<THmin<<",dP="<<dP<<G4endl;
314 #endif
315  }
316  else if (Momentum<Pmax) // High Energy region
317  {
318  G4double lP=std::log(Momentum);
319 #ifdef debug
320  G4cout<<"G4QaBarPNucCS::CalcCS:before HEN nH="<<nH<<",iE="<<milP<<",dlP="<<dlP<<G4endl;
321 #endif
322  sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
323  }
324  else // UHE region (calculation, not frequent)
325  {
326  G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
327  sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
328  }
329 #ifdef debug
330  G4cout<<"G4QAntiBaryonPlusNuclearCrossSection::CalcCS: CS="<<sigma<<G4endl;
331 #endif
332  if(sigma<0.) return 0.;
333  return sigma;
334 }
335 
336 // Electromagnetic momentum-threshold (in MeV/c)
337 G4double G4QAntiBaryonPlusNuclearCrossSection::ThresholdMomentum(G4int tZ, G4int tN)
338 {
339  static const G4double third=1./3.;
340  static const G4double prM = G4QPDGCode(2212).GetMass(); // Proton mass in MeV
341  static const G4double pM = G4QPDGCode(3112).GetMass(); // Projectile mass in MeV
342  static const G4double tpM= pM+pM; // Doubled projectile mass (MeV)
343  G4double tA=tZ+tN;
344  if(tZ<.99 || tN<0.) return 0.;
345  G4double dE=tZ/(1.+std::pow(tA,third)); // Safety for diffused edge of the nucleus (QE)
346  G4double tM=931.5*tA;
347  if(tZ==1 && tN==0) tM=prM; // A threshold on the free proton
348  G4double T=dE+dE*(dE/2+pM)/tM;
349  return std::sqrt(T*(tpM+T));
350 }
351 
352 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) (P in GeV/c)
353 G4double G4QAntiBaryonPlusNuclearCrossSection::CrossSectionLin(G4int tZ, G4int tN,
354  G4double P)
355 {
356  G4double lP=std::log(P);
357  return CrossSectionFormula(tZ, tN, P, lP);
358 }
359 
360 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
361 G4double G4QAntiBaryonPlusNuclearCrossSection::CrossSectionLog(G4int tZ, G4int tN,
362  G4double lP)
363 {
364  G4double P=std::exp(lP);
365  return CrossSectionFormula(tZ, tN, P, lP);
366 }
367 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
368 G4double G4QAntiBaryonPlusNuclearCrossSection::CrossSectionFormula(G4int tZ, G4int tN,
369  G4double P, G4double lP)
370 {
371  G4double sigma=0.;
372  if(tZ==1 && !tN) // AntiBar-Prot interaction from G4QuasiElRatios
373  {
374  G4double ld=lP-3.5;
375  G4double ld2=ld*ld;
376  G4double ye=std::exp(lP*1.25);
377  G4double yt=std::exp(lP*0.35);
378  G4double El=80./(ye+1.);
379  G4double To=(80./yt+.3)/yt;
380  sigma=(To-El)+.2443*ld2+31.48;
381  }
382  else if(tZ==1 && tN==1)
383  {
384  G4double p2=P*P;
385  G4double p4=p2*p2;
386  G4double r=lP-3.7;
387  sigma=(0.6*r*r+67.+90.*std::exp(-lP*.666))/(1.+4.E-7/p4/p4);
388  }
389  else if(tZ<97 && tN<152) // General solution
390  {
391  G4double d=lP-4.2;
392  G4double sp=std::sqrt(P);
393  G4double p2=P*P;
394  G4double p4=p2*p2;
395  G4double a=tN+tZ; // A of the target
396  G4double sa=std::sqrt(a);
397  G4double a2=a*a;
398  G4double a3=a2*a;
399  G4double a4=a2*a2;
400  G4double a2s=a2*sa;
401  G4double c=(170.+3600./a2s)/(1.+65./a2s)+40.*std::pow(a,0.712)/(1.+12.2/a)/(1.+34./a2);
402  G4double r=(170.+0.01*a3)/(1.+a3/28000.);
403  G4double h=.016*(1.+1.5E-8*a3*a2s)/a4;
404  sigma=(c+d*d+r/sp)/(1.+h/p4/p4);
405 #ifdef pdebug
406  G4cout<<"G4QAntiBarPlNucCS::CSForm: A="<<a<<",P="<<P<<",CS="<<sigma<<",c="<<c<<",g="<<g
407  <<",d="<<d<<",r="<<r<<",e="<<e<<",h="<<h<<G4endl;
408 #endif
409  }
410  else
411  {
412  G4cerr<<"-Warning-G4QAntiBarPlNuclCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
413  sigma=0.;
414  }
415  if(sigma<0.) return 0.;
416  return sigma;
417 }
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