source: trunk/source/processes/hadronic/models/chiral_inv_phase_space/cross_sections/src/G4QPionPlusNuclearCrossSection.cc @ 1353

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27// The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
28// GEANT4 tag $Name: hadr-chips-V09-03-08 $
29//
30//
31// G4 Physics class: G4QPionPlusNuclearCrossSection 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 pi(plus)-nuclear interactions
39// -------------------------------------------------------------------------------------
40//
41//#define debug
42//#define pdebug
43//#define debug3
44//#define debugn
45//#define debugs
46
47#include "G4QPionPlusNuclearCrossSection.hh"
48
49// Initialization of the
50G4double* G4QPionPlusNuclearCrossSection::lastLEN=0; // Pointer to lastArray of LowEn CS
51G4double* G4QPionPlusNuclearCrossSection::lastHEN=0; // Pointer to lastArray of HighEn CS
52G4int     G4QPionPlusNuclearCrossSection::lastN=0;   // The last N of calculated nucleus
53G4int     G4QPionPlusNuclearCrossSection::lastZ=0;   // The last Z of calculated nucleus
54G4double  G4QPionPlusNuclearCrossSection::lastP=0.;  // Last used in cross section Momentum
55G4double  G4QPionPlusNuclearCrossSection::lastTH=0.; // Last threshold momentum
56G4double  G4QPionPlusNuclearCrossSection::lastCS=0.; // Last value of the Cross Section
57G4int     G4QPionPlusNuclearCrossSection::lastI=0;   // The last position in the DAMDB
58std::vector<G4double*>* G4QPionPlusNuclearCrossSection::LEN = new std::vector<G4double*>;
59std::vector<G4double*>* G4QPionPlusNuclearCrossSection::HEN = new std::vector<G4double*>;
60
61// Returns Pointer to the G4VQCrossSection class
62G4VQCrossSection* G4QPionPlusNuclearCrossSection::GetPointer()
63{
64  static G4QPionPlusNuclearCrossSection theCrossSection; //**Static body of Cross Section**
65  return &theCrossSection;
66}
67
68G4QPionPlusNuclearCrossSection::~G4QPionPlusNuclearCrossSection()
69{
70  G4int lens=LEN->size();
71  for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i];
72  delete LEN;
73  G4int hens=HEN->size();
74  for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i];
75  delete HEN;
76}
77
78// The main member function giving the collision cross section (P is in IU, CS is in mb)
79// Make pMom in independent units ! (Now it is MeV)
80G4double G4QPionPlusNuclearCrossSection::GetCrossSection(G4bool fCS, G4double pMom,
81                                                       G4int tgZ, G4int tgN, G4int PDG)
82{
83  static G4double tolerance=0.001;     // Tolerance (0.1%) to consider as "the same mom"
84  static G4int j;                      // A#0f Z/N-records already tested in AMDB
85  static std::vector <G4int>    colN;  // Vector of N for calculated nuclei (isotops)
86  static std::vector <G4int>    colZ;  // Vector of Z for calculated nuclei (isotops)
87  static std::vector <G4double> colP;  // Vector of last momenta for the reaction
88  static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction
89  static std::vector <G4double> colCS; // Vector of last cross sections for the reaction
90  // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---***
91#ifdef debug
92  G4cout<<"G4QPipCS::GetCS:>>>f="<<fCS<<", p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="<<tgN
93        <<"("<<lastN<<"),PDG=211, thresh="<<lastTH<<",Sz="<<colN.size()<<G4endl;
94#endif
95  if(PDG!=211) G4cout<<"-Warning-G4QPionPlusCS::GetCS:**Not a PiPlus**,PDG="<<PDG<<G4endl;
96  G4bool in=false;                     // By default the isotope must be found in the AMDB
97  if(tgN!=lastN || tgZ!=lastZ)         // The nucleus was not the last used isotope
98  {
99    in = false;                        // By default the isotope haven't be found in AMDB 
100    lastP   = 0.;                      // New momentum history (nothing to compare with)
101    lastN   = tgN;                     // The last N of the calculated nucleus
102    lastZ   = tgZ;                     // The last Z of the calculated nucleus
103    lastI   = colN.size();             // Size of the Associative Memory DB in the heap
104    j  = 0;                            // A#0f records found in DB for this projectile
105#ifdef debug
106    G4cout<<"G4QPipCS::GetCS: the amount of records in the AMDB lastI="<<lastI<<G4endl;
107#endif
108    if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
109    {
110      if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
111      {
112        lastI=i;                       // Remember the index for future fast/last use
113        lastTH =colTH[i];              // The last THreshold (A-dependent)
114#ifdef debug
115        G4cout<<"G4QPipCS::GetCS:*Found*P="<<pMom<<",Threshold="<<lastTH<<",j="<<j<<G4endl;
116#endif
117        if(pMom<=lastTH)
118        {
119#ifdef debug
120          G4cout<<"G4QPipCS::GCS:Found,P="<<pMom<<" < Threshold="<<lastTH<<",CS=0"<<G4endl;
121#endif
122          return 0.;                   // Energy is below the Threshold value
123        }
124        lastP  =colP [i];              // Last Momentum  (A-dependent)
125        lastCS =colCS[i];              // Last CrossSect (A-dependent)
126        if(std::fabs(lastP-pMom)<tolerance*pMom)
127        //if(lastP==pMom)              // VI do not use tolerance
128        {
129#ifdef debug
130          G4cout<<"..G4QPipCS::GetCS:DoNothing,P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
131#endif
132          //CalculateCrossSection(fCS,-1,j,211,lastZ,lastN,pMom); // Update param's only
133          return lastCS*millibarn;     // Use theLastCS
134        }
135        in = true;                     // This is the case when the isotop is found in DB
136        // Momentum pMom is in IU ! @@ Units
137#ifdef debug
138        G4cout<<"G4QPipCS::G:UpdatDB P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl;
139#endif
140        lastCS=CalculateCrossSection(fCS,-1,j,211,lastZ,lastN,pMom); // read & update
141#ifdef debug
142        G4cout<<"G4QPipNCS::GetCrosSec: *****> New (inDB) Calculated CS="<<lastCS<<G4endl;
143#endif
144        if(lastCS<=0. && pMom>lastTH)  // Correct the threshold (@@ No intermediate Zeros)
145        {
146#ifdef debug
147          G4cout<<"G4QPipNCS::GetCS: New P="<<pMom<<"(CS=0) > Threshold="<<lastTH<<G4endl;
148#endif
149          lastCS=0.;
150          lastTH=pMom;
151        }
152        break;                         // Go out of the LOOP
153      }
154#ifdef debug
155      G4cout<<"-->G4QPipNucCrossSec::GetCrosSec: pPDG=211, j="<<j<<", N="<<colN[i]
156            <<",Z["<<i<<"]="<<colZ[i]<<G4endl;
157#endif
158      j++;                             // Increment a#0f records found in DB
159    }
160#ifdef debug
161    G4cout<<"-?-G4QPipCS::GetCS:R,Z="<<tgZ<<",N="<<tgN<<",in="<<in<<",j="<<j<<" ?"<<G4endl;
162#endif
163    if(!in)                            // This isotope has not been calculated previously
164    {
165#ifdef debug
166      G4cout<<"^^^G4QPipCS::GeCS:CalcNew P="<<pMom<<", f="<<fCS<<", lastI="<<lastI<<G4endl;
167#endif
168      //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
169      lastCS=CalculateCrossSection(fCS,0,j,211,lastZ,lastN,pMom); //calculate & create
170      //if(lastCS>0.)                   // It means that the AMBD was initialized
171      //{
172
173        lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
174#ifdef debug
175        G4cout<<"G4QPipCrossSection::GetCrossSect:NewThresh="<<lastTH<<",P="<<pMom<<G4endl;
176#endif
177        colN.push_back(tgN);
178        colZ.push_back(tgZ);
179        colP.push_back(pMom);
180        colTH.push_back(lastTH);
181        colCS.push_back(lastCS);
182#ifdef debug
183        G4cout<<"G4QPipNCS::GetCrosSec:lCS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl;
184#endif
185      //} // M.K. Presence of H1 with high threshold breaks the syncronization
186#ifdef pdebug
187      G4cout<<"G4QPipCS::GeCS:1st,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
188#endif
189      return lastCS*millibarn;
190    } // End of creation of the new set of parameters
191    else
192    {
193#ifdef debug
194      G4cout<<"G4QPipNucCS::GetCS: Update lastI="<<lastI<<",j="<<j<<G4endl;
195#endif
196      colP[lastI]=pMom;
197      colCS[lastI]=lastCS;
198    }
199  } // End of parameters udate
200  else if(pMom<=lastTH)
201  {
202#ifdef debug
203    G4cout<<"G4QPipCS::GetCS: Current P="<<pMom<<" < Threshold="<<lastTH<<", CS=0"<<G4endl;
204#endif
205    return 0.;                         // Momentum is below the Threshold Value -> CS=0
206  }
207  else if(std::fabs(lastP-pMom)<tolerance*pMom)
208  //else if(lastP==pMom)               // VI do not use tolerance
209  {
210#ifdef debug
211    G4cout<<"..G4QPCS::GetCS:OldNZ&P="<<lastP<<"="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
212#endif
213    return lastCS*millibarn;           // Use theLastCS
214  }
215  else                                 // It is the last used -> use the current tables
216  {
217#ifdef debug
218    G4cout<<"-!-G4QPCS::GetCS:UseCur P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl;
219#endif
220    lastCS=CalculateCrossSection(fCS,1,j,211,lastZ,lastN,pMom); // Only read and UpdateDB
221    lastP=pMom;
222  }
223#ifdef debug
224  G4cout<<"==>G4QPipCS::GetCroSec:P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
225#endif
226  return lastCS*millibarn;
227}
228
229// The main member function giving the gamma-A cross section (E in GeV, CS in mb)
230G4double G4QPionPlusNuclearCrossSection::CalculateCrossSection(G4bool, G4int F, G4int I,
231                                        G4int, G4int targZ, G4int targN, G4double Momentum)
232{
233  static const G4double THmin=27.;     // default minimum Momentum (MeV/c) Threshold
234  static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
235  static const G4double dP=10.;        // step for the LEN (Low ENergy) table MeV/c
236  static const G4double dPG=dP*.001;   // step for the LEN (Low ENergy) table GeV/c
237  static const G4int    nL=105;        // A#of LEN points in E (step 10 MeV/c)
238  static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
239  static const G4double Pmax=227000.;  // maxP for the HEN (High ENergy) part 227 GeV
240  static const G4int    nH=224;        // A#of HEN points in lnE
241  static const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
242  static const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
243  static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
244  static const G4double milPG=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
245#ifdef debug
246  G4cout<<"G4QPipNuCS::CalCS:N="<<targN<<",Z="<<targZ<<",P="<<Momentum<<">"<<THmin<<G4endl;
247#endif
248  G4double sigma=0.;
249  if(F&&I) sigma=0.;                   // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
250  G4double A=targN+targZ;              // A of the target
251#ifdef debug
252  G4cout<<"G4QPipNucCS::CalCS: A="<<A<<", F="<<F<<",I="<<I<<",nL="<<nL<<",nH="<<nH<<G4endl;
253#endif
254  if(F<=0)                             // This isotope was not the last used isotop
255  {
256    if(F<0)                            // This isotope was found in DAMDB =======> RETRIEVE
257    {
258      G4int sync=LEN->size();
259      if(sync<=I) G4cerr<<"*!*G4QPiMinusNuclCS::CalcCrosSect:Sync="<<sync<<"<="<<I<<G4endl;
260      lastLEN=(*LEN)[I];               // Pointer to prepared LowEnergy cross sections
261      lastHEN=(*HEN)[I];               // Pointer to prepared High Energy cross sections
262    }
263    else                               // This isotope wasn't calculated before => CREATE
264    {
265      lastLEN = new G4double[nL];      // Allocate memory for the new LEN cross sections
266      lastHEN = new G4double[nH];      // Allocate memory for the new HEN cross sections
267      // --- Instead of making a separate function ---
268      G4double P=THmiG;                // Table threshold in GeV/c
269      for(G4int m=0; m<nL; m++)
270      {
271        lastLEN[m] = CrossSectionLin(targZ, targN, P);
272        P+=dPG;
273      }
274      G4double lP=milPG;
275      for(G4int n=0; n<nH; n++)
276      {
277        lastHEN[n] = CrossSectionLog(targZ, targN, lP);
278        lP+=dlP;
279      }
280#ifdef debug
281      G4cout<<"-*->G4QPipNucCS::CalcCS:Tab for Z="<<targZ<<", N="<<targN<<",I="<<I<<G4endl;
282#endif
283      // --- End of possible separate function
284      // *** The synchronization check ***
285      G4int sync=LEN->size();
286      if(sync!=I)
287      {
288        G4cerr<<"***G4QPiMinusNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
289              <<", N="<<targN<<", F="<<F<<G4endl;
290        //G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow");
291      }
292      LEN->push_back(lastLEN);         // remember the Low Energy Table
293      HEN->push_back(lastHEN);         // remember the High Energy Table
294    } // End of creation of the new set of parameters
295  } // End of parameters udate
296  // ============================== NOW the Magic Formula =================================
297#ifdef debug
298  G4cout<<"G4QPipNCS::CalcCS:lTH="<<lastTH<<",Pi="<<Pmin<<",dP="<<dP<<",dlP="<<dlP<<G4endl;
299#endif
300  if (Momentum<lastTH) return 0.;      // It must be already checked in the interface class
301  else if (Momentum<Pmin)              // High Energy region
302  {
303#ifdef debug
304    G4cout<<"G4QPipNCS::CalcCS:bLEN A="<<A<<", nL="<<nL<<",TH="<<THmin<<",dP="<<dP<<G4endl;
305#endif
306    if(A<=1.) sigma=0.;
307    else      sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
308#ifdef debugn
309    if(sigma<0.)
310      G4cout<<"G4QPipNuCS::CalCS:A="<<A<<",E="<<Momentum<<",T="<<THmin<<",dP="<<dP<<G4endl;
311#endif
312  }
313  else if (Momentum<Pmax)              // High Energy region
314  {
315    G4double lP=std::log(Momentum);
316#ifdef debug
317    G4cout<<"G4QPipNucCS::CalcCS: before HEN nH="<<nH<<", iE="<<milP<<",dlP="<<dlP<<G4endl;
318#endif
319    sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
320  }
321  else                                 // UHE region (calculation, not frequent)
322  {
323    G4double P=0.001*Momentum;         // Approximation formula is for P in GeV/c
324    sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
325  }
326#ifdef debug
327  G4cout<<"G4QPionPlusNuclearCrossSection::CalcCS: CS="<<sigma<<G4endl;
328#endif
329  if(sigma<0.) return 0.;
330  return sigma;
331}
332
333// Electromagnetic momentum-threshold (in MeV/c)
334G4double G4QPionPlusNuclearCrossSection::ThresholdMomentum(G4int tZ, G4int tN)
335{
336  static const G4double third=1./3.;
337  static const G4double pM = G4QPDGCode(211).GetMass(); // Projectile mass in MeV
338  static const G4double tpM= pM+pM;       // Doubled projectile mass (MeV)
339  G4double tA=tZ+tN;
340  if(tZ<.99 || tN<0.) return 0.;
341  else if(tZ==1 && tN==0) return 300.;    // A threshold on the free proton
342  //G4double dE=1.263*tZ/(1.+std::pow(tA,third));
343  G4double dE=tZ/(1.+std::pow(tA,third)); // Safety for diffused edge of the nucleus (QE)
344  G4double tM=931.5*tA;
345  G4double T=dE+dE*(dE/2+pM)/tM;
346  return std::sqrt(T*(tpM+T));
347}
348
349// Calculation formula for piMinus-nuclear inelastic cross-section (mb) (P in GeV/c)
350G4double G4QPionPlusNuclearCrossSection::CrossSectionLin(G4int tZ, G4int tN, G4double P)
351{
352  G4double lP=std::log(P);
353  return CrossSectionFormula(tZ, tN, P, lP);
354}
355
356// Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
357G4double G4QPionPlusNuclearCrossSection::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
358{
359  G4double P=std::exp(lP);
360  return CrossSectionFormula(tZ, tN, P, lP);
361}
362// Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
363G4double G4QPionPlusNuclearCrossSection::CrossSectionFormula(G4int tZ, G4int tN,
364                                                              G4double P, G4double lP)
365{
366  G4double sigma=0.;
367  if(tZ==1 && !tN)                        // PiPlus-Proton interaction from G4QuasiElRatios
368  {
369    G4double ld=lP-3.5;
370    G4double ld2=ld*ld;
371    G4double p2=P*P;
372    G4double p4=p2*p2;
373    G4double sp=std::sqrt(P);
374    G4double lm=lP-.32;
375    G4double md=lm*lm+.04;
376    G4double El=(.0557*ld2+2.4+6./sp)/(1.+3./p4);
377    G4double To=(.3*ld2+22.3+5./sp)/(1.+1./p4);
378    sigma=(To-El)+.1/md;
379  }
380  else if(tZ==1 && tN==1)                 // pimp_tot
381  {
382    G4double p2=P*P;
383    G4double d=lP-2.7;
384    G4double f=lP+1.25;
385    G4double g=lP-.017;
386    sigma=(.55*d*d+38.+23./std::sqrt(P))/(1.+.3/p2/p2)+18./(f*f+.1089)+.02/(g*g+.0025);
387  }
388  else if(tZ<97 && tN<152)                // General solution
389  {
390    G4double d=lP-4.2;
391    G4double p2=P*P;
392    G4double p4=p2*p2;
393    G4double a=tN+tZ;                     // A of the target
394    G4double al=std::log(a);
395    G4double sa=std::sqrt(a);
396    G4double ssa=std::sqrt(sa);
397    G4double a2=a*a;
398    G4double c=41.*std::exp(al*.68)*(1.+44./a2)/(1.+8./a)/(1.+200./a2/a2);
399    G4double f=290.*ssa/(1.+34./a/ssa);
400    G4double g=-1.32-al*.043;
401    G4double u=lP-g;
402    G4double h=al*(.4-.055*al);
403    G4double r=.01+a2*5.E-8;
404    sigma=(c+d*d)/(1.+(.2-.009*sa)/p4)+f/(u*u+h*h)/(1.+r/p2);
405#ifdef pdebug
406    G4cout<<"G4QPiPlusNucCS::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-G4QPiPlusNuclearCroSect::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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