source: trunk/source/processes/hadronic/models/chiral_inv_phase_space/cross_sections/src/G4QPionMinusElasticCrossSection.cc @ 1316

Last change on this file since 1316 was 1316, checked in by garnier, 14 years ago

update geant4-09-04-beta-cand-01 interfaces-V09-03-09 vis-V09-03-08
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27// $Id: G4QPionMinusElasticCrossSection.cc,v 1.3 2010/02/16 07:53:05 mkossov Exp $
28// GEANT4 tag $Name: geant4-09-04-beta-cand-01 $
29//
30//
31// G4 Physics class: G4QPionMinusElasticCrossSection for pA elastic cross sections
32// Created: M.V. Kossov, CERN/ITEP(Moscow), 21-Jan-10
33// The last update: M.V. Kossov, CERN/ITEP (Moscow) 21-Jan-10
34//
35//================================================================================
36// Short description: Interaction cross-sections for the G4QElastic process
37// -------------------------------------------------------------------------------
38
39//#define debug
40//#define isodebug
41//#define pdebug
42//#define ppdebug
43//#define tdebug
44//#define sdebug
45
46#include "G4QPionMinusElasticCrossSection.hh"
47
48// Initialization of the static parameters
49const G4int G4QPionMinusElasticCrossSection::nPoints=128;//#ofPt in AMDB table(>anyPar)(D)
50const G4int G4QPionMinusElasticCrossSection::nLast=nPoints-1;//theLastElement inTheTable(D)
51G4double  G4QPionMinusElasticCrossSection::lPMin=-8.;  //Min tabulated logarithmMomentum(D)
52G4double  G4QPionMinusElasticCrossSection::lPMax= 8.;  //Max tabulated logarithmMomentum(D)
53G4double  G4QPionMinusElasticCrossSection::dlnP=(lPMax-lPMin)/nLast;//LogStep inTheTable(D)
54G4bool    G4QPionMinusElasticCrossSection::onlyCS=true;//Flag toCalcul OnlyCS(not Si/Bi)(L)
55G4double  G4QPionMinusElasticCrossSection::lastSIG=0.; //Last calculated cross section  (L)
56G4double  G4QPionMinusElasticCrossSection::lastLP=-10.;//Last log(mom_of IncidentHadron)(L)
57G4double  G4QPionMinusElasticCrossSection::lastTM=0.;  //Last t_maximum                 (L)
58G4double  G4QPionMinusElasticCrossSection::theSS=0.;   //TheLastSqSlope of 1st difr.Max(L)
59G4double  G4QPionMinusElasticCrossSection::theS1=0.;   //TheLastMantissa of 1st difr.Max(L)
60G4double  G4QPionMinusElasticCrossSection::theB1=0.;   //TheLastSlope of 1st difruct.Max(L)
61G4double  G4QPionMinusElasticCrossSection::theS2=0.;   //TheLastMantissa of 2nd difr.Max(L)
62G4double  G4QPionMinusElasticCrossSection::theB2=0.;   //TheLastSlope of 2nd difruct.Max(L)
63G4double  G4QPionMinusElasticCrossSection::theS3=0.;   //TheLastMantissa of 3d difr. Max(L)
64G4double  G4QPionMinusElasticCrossSection::theB3=0.;   //TheLastSlope of 3d difruct. Max(L)
65G4double  G4QPionMinusElasticCrossSection::theS4=0.;   //TheLastMantissa of 4th difr.Max(L)
66G4double  G4QPionMinusElasticCrossSection::theB4=0.;   //TheLastSlope of 4th difruct.Max(L)
67G4int     G4QPionMinusElasticCrossSection::lastTZ=0;   // Last atomic number of the target
68G4int     G4QPionMinusElasticCrossSection::lastTN=0;   // Last # of neutrons in the target
69G4double  G4QPionMinusElasticCrossSection::lastPIN=0.; // Last initialized max momentum
70G4double* G4QPionMinusElasticCrossSection::lastCST=0;  // Elastic cross-section table
71G4double* G4QPionMinusElasticCrossSection::lastPAR=0;  // Parameters ForFunctionCalculation
72G4double* G4QPionMinusElasticCrossSection::lastSST=0;  // E-dep of SqardSlope of 1st difMax
73G4double* G4QPionMinusElasticCrossSection::lastS1T=0;  // E-dep of mantissa of 1st dif.Max
74G4double* G4QPionMinusElasticCrossSection::lastB1T=0;  // E-dep of the slope of 1st difMax
75G4double* G4QPionMinusElasticCrossSection::lastS2T=0;  // E-dep of mantissa of 2nd difrMax
76G4double* G4QPionMinusElasticCrossSection::lastB2T=0;  // E-dep of the slope of 2nd difMax
77G4double* G4QPionMinusElasticCrossSection::lastS3T=0;  // E-dep of mantissa of 3d difr.Max
78G4double* G4QPionMinusElasticCrossSection::lastB3T=0;  // E-dep of the slope of 3d difrMax
79G4double* G4QPionMinusElasticCrossSection::lastS4T=0;  // E-dep of mantissa of 4th difrMax
80G4double* G4QPionMinusElasticCrossSection::lastB4T=0;  // E-dep of the slope of 4th difMax
81G4int     G4QPionMinusElasticCrossSection::lastN=0;    // The last N of calculated nucleus
82G4int     G4QPionMinusElasticCrossSection::lastZ=0;    // The last Z of calculated nucleus
83G4double  G4QPionMinusElasticCrossSection::lastP=0.;   // LastUsed in CrossSection Momentum
84G4double  G4QPionMinusElasticCrossSection::lastTH=0.;  // Last threshold momentum
85G4double  G4QPionMinusElasticCrossSection::lastCS=0.;  // Last value of the Cross Section
86G4int     G4QPionMinusElasticCrossSection::lastI=0;    // The last position in the DAMDB
87
88std::vector<G4double*> G4QPionMinusElasticCrossSection::PAR;// Vector of ParsForFunctCalcul
89std::vector<G4double*> G4QPionMinusElasticCrossSection::CST;// Vector of CrossSection table
90std::vector<G4double*> G4QPionMinusElasticCrossSection::SST;// Vector of the1st SquardSlope
91std::vector<G4double*> G4QPionMinusElasticCrossSection::S1T;// Vector of the1st mantissa
92std::vector<G4double*> G4QPionMinusElasticCrossSection::B1T;// Vector of the1st slope
93std::vector<G4double*> G4QPionMinusElasticCrossSection::S2T;// Vector of the2nd mantissa
94std::vector<G4double*> G4QPionMinusElasticCrossSection::B2T;// Vector of the2nd slope
95std::vector<G4double*> G4QPionMinusElasticCrossSection::S3T;// Vector of the3d mantissa
96std::vector<G4double*> G4QPionMinusElasticCrossSection::B3T;// Vector of the3d slope
97std::vector<G4double*> G4QPionMinusElasticCrossSection::S4T;// Vector of the4th mantissa(g)
98std::vector<G4double*> G4QPionMinusElasticCrossSection::B4T;// Vector of the4th slope(glor)
99
100G4QPionMinusElasticCrossSection::G4QPionMinusElasticCrossSection()
101{
102}
103
104G4QPionMinusElasticCrossSection::~G4QPionMinusElasticCrossSection()
105{
106  std::vector<G4double*>::iterator pos;
107  for (pos=CST.begin(); pos<CST.end(); pos++)
108  { delete [] *pos; }
109  CST.clear();
110  for (pos=PAR.begin(); pos<PAR.end(); pos++)
111  { delete [] *pos; }
112  PAR.clear();
113  for (pos=SST.begin(); pos<SST.end(); pos++)
114  { delete [] *pos; }
115  SST.clear();
116  for (pos=S1T.begin(); pos<S1T.end(); pos++)
117  { delete [] *pos; }
118  S1T.clear();
119  for (pos=B1T.begin(); pos<B1T.end(); pos++)
120  { delete [] *pos; }
121  B1T.clear();
122  for (pos=S2T.begin(); pos<S2T.end(); pos++)
123  { delete [] *pos; }
124  S2T.clear();
125  for (pos=B2T.begin(); pos<B2T.end(); pos++)
126  { delete [] *pos; }
127  B2T.clear();
128  for (pos=S3T.begin(); pos<S3T.end(); pos++)
129  { delete [] *pos; }
130  S3T.clear();
131  for (pos=B3T.begin(); pos<B3T.end(); pos++)
132  { delete [] *pos; }
133  B3T.clear();
134  for (pos=S4T.begin(); pos<S4T.end(); pos++)
135  { delete [] *pos; }
136  S4T.clear();
137  for (pos=B4T.begin(); pos<B4T.end(); pos++)
138  { delete [] *pos; }
139  B4T.clear();
140}
141
142// Returns Pointer to the G4VQCrossSection class
143G4VQCrossSection* G4QPionMinusElasticCrossSection::GetPointer()
144{
145  static G4QPionMinusElasticCrossSection theCrossSection;//StaticBody of theQElCrossSection
146  return &theCrossSection;
147}
148
149// The main member function giving the collision cross section (P is in IU, CS is in mb)
150// Make pMom in independent units ! (Now it is MeV)
151G4double G4QPionMinusElasticCrossSection::GetCrossSection(G4bool fCS, G4double pMom,
152                                                         G4int tgZ, G4int tgN, G4int pPDG)
153{
154  static std::vector <G4int>    colN;  // Vector of N for calculated nuclei (isotops)
155  static std::vector <G4int>    colZ;  // Vector of Z for calculated nuclei (isotops)
156  static std::vector <G4double> colP;  // Vector of last momenta for the reaction
157  static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction
158  static std::vector <G4double> colCS; // Vector of last cross sections for the reaction
159  // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---***
160  G4double pEn=pMom;
161  onlyCS=fCS;
162#ifdef pdebug
163  G4cout<<"G4QPElCS::GetCS:>>> f="<<fCS<<", p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="
164        <<tgN<<"("<<lastN<<"), T="<<pEn<<"("<<lastTH<<")"<<",Sz="<<colN.size()<<G4endl;
165  //CalculateCrossSection(fCS,-27,j,pPDG,lastZ,lastN,pMom); // DUMMY TEST
166#endif
167  if(pPDG!=-211)
168  {
169    G4cout<<"*Warning*G4QPionPlusElCS::GetCS:**> Found pPDG="<<pPDG<<" ====> CS=0"<<G4endl;
170    //CalculateCrossSection(fCS,-27,j,pPDG,lastZ,lastN,pMom); // DUMMY TEST
171    return 0.;                         // projectile PDG=0 is a mistake (?!) @@
172  }
173  G4bool in=false;                   // By default the isotope must be found in the AMDB
174  lastP   = 0.;                      // New momentum history (nothing to compare with)
175  lastN   = tgN;                     // The last N of the calculated nucleus
176  lastZ   = tgZ;                     // The last Z of the calculated nucleus
177  lastI   = colN.size();             // Size of the Associative Memory DB in the heap
178  if(lastI) for(G4int i=0; i<lastI; i++) // Loop over proj/tgZ/tgN lines of DB
179  {                                  // The nucleus with projPDG is found in AMDB
180    if(colN[i]==tgN && colZ[i]==tgZ) // Isotope is foind in AMDB
181    {
182      lastI=i;
183      lastTH =colTH[i];              // Last THreshold (A-dependent)
184#ifdef pdebug
185      G4cout<<"G4QElCS::GetCS:*Found* P="<<pMom<<",Threshold="<<lastTH<<",i="<<i<<G4endl;
186      //CalculateCrossSection(fCS,-27,i,pPDG,lastZ,lastN,pMom); // DUMMY TEST
187#endif
188      if(pEn<=lastTH)
189      {
190#ifdef pdebug
191        G4cout<<"G4QElCS::GetCS:Found T="<<pEn<<" < Threshold="<<lastTH<<",CS=0"<<G4endl;
192        //CalculateCrossSection(fCS,-27,i,pPDG,lastZ,lastN,pMom); // DUMMY TEST
193#endif
194        return 0.;                   // Energy is below the Threshold value
195      }
196      lastP  =colP [i];              // Last Momentum  (A-dependent)
197      lastCS =colCS[i];              // Last CrossSect (A-dependent)
198      //  if(std::fabs(lastP/pMom-1.)<tolerance) //VI (do not use tolerance)
199      if(lastP == pMom)              // Do not recalculate
200      {
201#ifdef pdebug
202        G4cout<<"G4QElCS::GetCS:P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
203#endif
204        CalculateCrossSection(fCS,-1,i,pPDG,lastZ,lastN,pMom); // Update param's only
205        return lastCS*millibarn;     // Use theLastCS
206      }
207      in = true;                       // This is the case when the isotop is found in DB
208      // Momentum pMom is in IU ! @@ Units
209#ifdef pdebug
210      G4cout<<"G4QElCS::G:UpdateDB P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",i="<<i<<G4endl;
211#endif
212      lastCS=CalculateCrossSection(fCS,-1,i,pPDG,lastZ,lastN,pMom); // read & update
213#ifdef pdebug
214      G4cout<<"G4QElCS::GetCrosSec: *****> New (inDB) Calculated CS="<<lastCS<<G4endl;
215      //CalculateCrossSection(fCS,-27,i,pPDG,lastZ,lastN,pMom); // DUMMY TEST
216#endif
217      if(lastCS<=0. && pEn>lastTH)    // Correct the threshold
218      {
219#ifdef pdebug
220        G4cout<<"G4QElCS::GetCS: New T="<<pEn<<"(CS=0) > Threshold="<<lastTH<<G4endl;
221#endif
222        lastTH=pEn;
223      }
224      break;                           // Go out of the LOOP with found lastI
225    }
226#ifdef pdebug
227    G4cout<<"---G4QElCrossSec::GetCrosSec:pPDG="<<pPDG<<",i="<<i<<",N="<<colN[i]
228          <<",Z["<<i<<"]="<<colZ[i]<<G4endl;
229    //CalculateCrossSection(fCS,-27,i,pPDG,lastZ,lastN,pMom); // DUMMY TEST
230#endif
231  } // End of attampt to find the nucleus in DB
232  if(!in)                            // This nucleus has not been calculated previously
233  {
234#ifdef pdebug
235    G4cout<<"G4QElCS::GetCrosSec:CalcNew P="<<pMom<<",f="<<fCS<<",lastI="<<lastI<<G4endl;
236#endif
237    //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
238    lastCS=CalculateCrossSection(fCS,0,lastI,pPDG,lastZ,lastN,pMom);//calculate&create
239    if(lastCS<=0.)
240    {
241      lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
242#ifdef pdebug
243      G4cout<<"G4QElCrossSection::GetCrossSect: NewThresh="<<lastTH<<",T="<<pEn<<G4endl;
244#endif
245      if(pEn>lastTH)
246      {
247#ifdef pdebug
248        G4cout<<"G4QElCS::GetCS: First T="<<pEn<<"(CS=0) > Threshold="<<lastTH<<G4endl;
249#endif
250        lastTH=pEn;
251      }
252    }
253#ifdef pdebug
254    G4cout<<"G4QElCS::GetCrosSec: New CS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl;
255    //CalculateCrossSection(fCS,-27,lastI,pPDG,lastZ,lastN,pMom); // DUMMY TEST
256#endif
257    colN.push_back(tgN);
258    colZ.push_back(tgZ);
259    colP.push_back(pMom);
260    colTH.push_back(lastTH);
261    colCS.push_back(lastCS);
262#ifdef pdebug
263    G4cout<<"G4QElCS::GetCS:1st,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
264    //CalculateCrossSection(fCS,-27,lastI,pPDG,lastZ,lastN,pMom); // DUMMY TEST
265#endif
266    return lastCS*millibarn;
267  } // End of creation of the new set of parameters
268  else
269  {
270#ifdef pdebug
271    G4cout<<"G4QElCS::GetCS: Update lastI="<<lastI<<G4endl;
272#endif
273    colP[lastI]=pMom;
274    colCS[lastI]=lastCS;
275  }
276#ifdef pdebug
277  G4cout<<"G4QElCS::GetCrSec:End,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
278  //CalculateCrossSection(fCS,-27,lastI,pPDG,lastZ,lastN,pMom); // DUMMY TEST
279  G4cout<<"G4QElCS::GetCrSec:***End***, onlyCS="<<onlyCS<<G4endl;
280#endif
281  return lastCS*millibarn;
282}
283
284// Calculation of total elastic cross section (p in IU, CS in mb) @@ Units (?)
285// F=0 - create AMDB, F=-1 - read&update AMDB, F=1 - update AMDB (sinchro with higher AMDB)
286G4double G4QPionMinusElasticCrossSection::CalculateCrossSection(G4bool CS, G4int F,G4int I,
287                                             G4int PDG, G4int tgZ, G4int tgN, G4double pIU)
288{
289  // *** Begin of Associative Memory DB for acceleration of the cross section calculations
290  static std::vector <G4double>  PIN;   // Vector of max initialized log(P) in the table
291  // *** End of Static Definitions (Associative Memory Data Base) ***
292  G4double pMom=pIU/GeV;                // All calculations are in GeV
293  onlyCS=CS;                            // Flag to calculate only CS (not Si/Bi)
294#ifdef pdebug
295  G4cout<<"G4QPionPlusElasticCroS::CalcCS:->onlyCS="<<onlyCS<<",F="<<F<<",p="<<pIU<<G4endl;
296#endif
297  lastLP=std::log(pMom);                // Make a logarithm of the momentum for calculation
298  if(F)                                 // This isotope was found in AMDB =>RETRIEVE/UPDATE
299  {
300    if(F<0)                             // the AMDB must be loded
301    {
302      lastPIN = PIN[I];                 // Max log(P) initialised for this table set
303      lastPAR = PAR[I];                 // Pointer to the parameter set
304      lastCST = CST[I];                 // Pointer to the total sross-section table
305      lastSST = SST[I];                 // Pointer to the first squared slope
306      lastS1T = S1T[I];                 // Pointer to the first mantissa
307      lastB1T = B1T[I];                 // Pointer to the first slope
308      lastS2T = S2T[I];                 // Pointer to the second mantissa
309      lastB2T = B2T[I];                 // Pointer to the second slope
310      lastS3T = S3T[I];                 // Pointer to the third mantissa
311      lastB3T = B3T[I];                 // Pointer to the rhird slope
312      lastS4T = S4T[I];                 // Pointer to the 4-th mantissa
313      lastB4T = B4T[I];                 // Pointer to the 4-th slope
314#ifdef pdebug
315      G4cout<<"G4QElasticCS::CalcCS: DB is updated for I="<<I<<",*,PIN4="<<PIN[4]<<G4endl;
316#endif
317    }
318#ifdef pdebug
319    G4cout<<"G4QPionPlusElasticCroS::CalcCS:*read*, LP="<<lastLP<<",PIN="<<lastPIN<<G4endl;
320#endif
321    if(lastLP>lastPIN && lastLP<lPMax)
322    {
323      lastPIN=GetPTables(lastLP,lastPIN,PDG,tgZ,tgN);// Can update upper logP-Limit in tabs
324#ifdef pdebug
325      G4cout<<"G4QElCS::CalcCS:*updated(I)*,LP="<<lastLP<<"<IN["<<I<<"]="<<lastPIN<<G4endl;
326#endif
327      PIN[I]=lastPIN;                   // Remember the new P-Limit of the tables
328    }
329  }
330  else                                  // This isotope wasn't initialized => CREATE
331  {
332    lastPAR = new G4double[nPoints];    // Allocate memory for parameters of CS function
333    lastPAR[nLast]=0;                   // Initialization for VALGRIND
334    lastCST = new G4double[nPoints];    // Allocate memory for Tabulated CS function   
335    lastSST = new G4double[nPoints];    // Allocate memory for Tabulated first sqaredSlope
336    lastS1T = new G4double[nPoints];    // Allocate memory for Tabulated first mantissa
337    lastB1T = new G4double[nPoints];    // Allocate memory for Tabulated first slope   
338    lastS2T = new G4double[nPoints];    // Allocate memory for Tabulated second mantissa
339    lastB2T = new G4double[nPoints];    // Allocate memory for Tabulated second slope   
340    lastS3T = new G4double[nPoints];    // Allocate memory for Tabulated third mantissa
341    lastB3T = new G4double[nPoints];    // Allocate memory for Tabulated third slope   
342    lastS4T = new G4double[nPoints];    // Allocate memory for Tabulated 4-th mantissa
343    lastB4T = new G4double[nPoints];    // Allocate memory for Tabulated 4-th slope   
344#ifdef pdebug
345    G4cout<<"G4QPionPlusElasticCroS::CalcCS:*ini*,lastLP="<<lastLP<<",min="<<lPMin<<G4endl;
346#endif
347    lastPIN = GetPTables(lastLP,lPMin,PDG,tgZ,tgN); // Returns the new P-limit for tables
348#ifdef pdebug
349    G4cout<<"G4QPiPlElCS::CCS:i,Z="<<tgZ<<",N="<<tgN<<",PDG="<<PDG<<",LP"<<lastPIN<<G4endl;
350#endif
351    PIN.push_back(lastPIN);             // Fill parameters of CS function to AMDB
352    PAR.push_back(lastPAR);             // Fill parameters of CS function to AMDB
353    CST.push_back(lastCST);             // Fill Tabulated CS function to AMDB   
354    SST.push_back(lastSST);             // Fill Tabulated first sq.slope to AMDB
355    S1T.push_back(lastS1T);             // Fill Tabulated first mantissa to AMDB
356    B1T.push_back(lastB1T);             // Fill Tabulated first slope to AMDB   
357    S2T.push_back(lastS2T);             // Fill Tabulated second mantissa to AMDB
358    B2T.push_back(lastB2T);             // Fill Tabulated second slope to AMDB   
359    S3T.push_back(lastS3T);             // Fill Tabulated third mantissa to AMDB
360    B3T.push_back(lastB3T);             // Fill Tabulated third slope to AMDB   
361    S4T.push_back(lastS4T);             // Fill Tabulated 4-th mantissa to AMDB
362    B4T.push_back(lastB4T);             // Fill Tabulated 4-th slope to AMDB   
363  } // End of creation/update of the new set of parameters and tables
364  // ============= NOW Update (if necessary) and Calculate the Cross Section ===========
365#ifdef pdebug
366  G4cout<<"G4QElCS::CalcCS:?update?,LP="<<lastLP<<",IN="<<lastPIN<<",ML="<<lPMax<<G4endl;
367#endif
368  if(lastLP>lastPIN && lastLP<lPMax)
369  {
370    lastPIN = GetPTables(lastLP,lastPIN,PDG,tgZ,tgN);
371#ifdef pdebug
372    G4cout<<"G4QElCS::CalcCS: *updated(O)*, LP="<<lastLP<<" < IN="<<lastPIN<<G4endl;
373#endif
374  }
375#ifdef pdebug
376  G4cout<<"G4QElastCS::CalcCS: lastLP="<<lastLP<<",lPM="<<lPMin<<",lPIN="<<lastPIN<<G4endl;
377#endif
378  if(!onlyCS) lastTM=GetQ2max(PDG, tgZ, tgN, pMom); // Calculate (-t)_max=Q2_max (GeV2)
379#ifdef pdebug
380  G4cout<<"G4QElasticCrosSec::CalcCS:oCS="<<onlyCS<<",-t="<<lastTM<<", p="<<lastLP<<G4endl;
381#endif
382  if(lastLP>lPMin && lastLP<=lastPIN)   // Linear fit is made using precalculated tables
383  {
384    if(lastLP==lastPIN)
385    {
386      G4double shift=(lastLP-lPMin)/dlnP+.000001; // Log distance from lPMin
387      G4int    blast=static_cast<int>(shift); // this is a bin number of the lower edge (0)
388      if(blast<0 || blast>=nLast) G4cout<<"G4QEleastCS::CCS:b="<<blast<<","<<nLast<<G4endl;
389      lastSIG = lastCST[blast];
390      if(!onlyCS)                       // Skip the differential cross-section parameters
391      {
392        theSS  = lastSST[blast];
393        theS1  = lastS1T[blast];
394        theB1  = lastB1T[blast];
395        theS2  = lastS2T[blast];
396        theB2  = lastB2T[blast];
397        theS3  = lastS3T[blast];
398        theB3  = lastB3T[blast];
399        theS4  = lastS4T[blast];
400        theB4  = lastB4T[blast];
401      }
402#ifdef pdebug
403      G4cout<<"G4QPionPlusElasticCroS::CalculateCS:(E) S1="<<theS1<<", B1="<<theB1<<G4endl;
404#endif
405    }
406    else
407    {
408      G4double shift=(lastLP-lPMin)/dlnP;        // a shift from the beginning of the table
409      G4int    blast=static_cast<int>(shift);    // the lower bin number
410      if(blast<0)   blast=0;
411      if(blast>=nLast) blast=nLast-1;            // low edge of the last bin
412      shift-=blast;                              // step inside the unit bin
413      G4int lastL=blast+1;                       // the upper bin number
414      G4double SIGL=lastCST[blast];              // the basic value of the cross-section
415      lastSIG= SIGL+shift*(lastCST[lastL]-SIGL); // calculated total elastic cross-section
416#ifdef pdebug
417      G4cout<<"G4QElCS::CalcCrossSection: Sig="<<lastSIG<<", P="<<pMom<<", Z="<<tgZ<<", N="
418            <<tgN<<", PDG="<<PDG<<", onlyCS="<<onlyCS<<G4endl;
419#endif
420      if(!onlyCS)                       // Skip the differential cross-section parameters
421      {
422        G4double SSTL=lastSST[blast];           // the low bin of the first squared slope
423        theSS=SSTL+shift*(lastSST[lastL]-SSTL); // the basic value of the first sq.slope
424        G4double S1TL=lastS1T[blast];           // the low bin of the first mantissa
425        theS1=S1TL+shift*(lastS1T[lastL]-S1TL); // the basic value of the first mantissa
426        G4double B1TL=lastB1T[blast];           // the low bin of the first slope
427#ifdef pdebug
428        G4cout<<"G4QElCS::CalcCrossSection:bl="<<blast<<",ls="<<lastL<<",SL="<<S1TL<<",SU="
429              <<lastS1T[lastL]<<",BL="<<B1TL<<",BU="<<lastB1T[lastL]<<G4endl;
430#endif
431        theB1=B1TL+shift*(lastB1T[lastL]-B1TL); // the basic value of the first slope
432        G4double S2TL=lastS2T[blast];           // the low bin of the second mantissa
433        theS2=S2TL+shift*(lastS2T[lastL]-S2TL); // the basic value of the second mantissa
434        G4double B2TL=lastB2T[blast];           // the low bin of the second slope
435        theB2=B2TL+shift*(lastB2T[lastL]-B2TL); // the basic value of the second slope
436        G4double S3TL=lastS3T[blast];           // the low bin of the third mantissa
437        theS3=S3TL+shift*(lastS3T[lastL]-S3TL); // the basic value of the third mantissa
438#ifdef pdebug
439        G4cout<<"G4QElCS::CCS: s3l="<<S3TL<<",sh3="<<shift<<",s3h="<<lastS3T[lastL]<<",b="
440              <<blast<<",l="<<lastL<<G4endl;
441#endif
442        G4double B3TL=lastB3T[blast];           // the low bin of the third slope
443        theB3=B3TL+shift*(lastB3T[lastL]-B3TL); // the basic value of the third slope
444        G4double S4TL=lastS4T[blast];           // the low bin of the 4-th mantissa
445        theS4=S4TL+shift*(lastS4T[lastL]-S4TL); // the basic value of the 4-th mantissa
446#ifdef pdebug
447        G4cout<<"G4QElCS::CCS: s4l="<<S4TL<<",sh4="<<shift<<",s4h="<<lastS4T[lastL]<<",b="
448              <<blast<<",l="<<lastL<<G4endl;
449#endif
450        G4double B4TL=lastB4T[blast];           // the low bin of the 4-th slope
451        theB4=B4TL+shift*(lastB4T[lastL]-B4TL); // the basic value of the 4-th slope
452      }
453#ifdef pdebug
454      G4cout<<"G4QPionPlusElasticCroS::CalculateCS:(I) S1="<<theS1<<", B1="<<theB1<<G4endl;
455#endif
456    }
457  }
458  else lastSIG=GetTabValues(lastLP, PDG, tgZ, tgN); // Direct calculation beyond the table
459  if(lastSIG<0.) lastSIG = 0.;                   // @@ a Warning print can be added
460#ifdef pdebug
461  G4cout<<"G4QPionMinusElasticCrossSection::CalculateCS: END, onlyCS="<<onlyCS<<G4endl;
462#endif
463  return lastSIG;
464}
465
466// It has parameter sets for all tZ/tN/PDG, using them the tables can be created/updated
467G4double G4QPionMinusElasticCrossSection::GetPTables(G4double LP, G4double ILP, G4int PDG,
468                                                  G4int tgZ, G4int tgN)
469{
470  // @@ At present all nA==pA ---------> Each neucleus can have not more than 51 parameters
471  static const G4double pwd=2727;
472  const G4int n_pimpel=38;                // #of parameters for pp-elastic (<nPoints=128)
473  //                           -0-  -1-   -2- -3- -4- -5-  -6-  -7-   -8-  -9--10-11-12-
474  G4double pimp_el[n_pimpel]={1.27,1.53,.0676,3.5,.36,.04,.017,.0025,.0557,2.4,7.,.7,.6,
475                              .05,5.,74.,3.,3.4,.2,.17,.001,8.,.055,3.64,5.e-5,4000.,1500.,
476                              .46,1.2e6,3.5e6,5.e-5,1.e10,8.5e8,1.e10,1.1,3.4e6,6.8e6,0.};
477  //                         -13-14--15--16--17-18--19--20--21- -22- -23- -24-  -25- -26-
478  //                          -27--28-  -29-   -30-  -31- -32-  -33-  -34- -35- -36- -37-
479  if(PDG ==-211)
480  {
481    // -- Total pp elastic cross section cs & s1/b1 (main), s2/b2 (tail1), s3/b3 (tail2) --
482    //p2=p*p;p3=p2*p;sp=sqrt(p);p2s=p2*sp;lp=log(p);dl1=lp-(3.=par(3));p4=p2*p2; p=|3-mom|
483    //CS=2.865/p2s/(1+.0022/p2s)+(18.9+.6461*dl1*dl1+9./p)/(1.+.425*lp)/(1.+.4276/p4);
484    //   par(0)       par(7)     par(1) par(2)      par(4)      par(5)         par(6)
485    //dl2=lp-5., s1=(74.+3.*dl2*dl2)/(1+3.4/p4/p)+(.2/p2+17.*p)/(p4+.001*sp),
486    //     par(8) par(9) par(10)        par(11)   par(12)par(13)    par(14)
487    // b1=8.*p**.055/(1.+3.64/p3); s2=5.e-5+4000./(p4+1500.*p); b2=.46+1.2e6/(p4+3.5e6/sp);
488    // par(15) par(16)  par(17)     par(18) par(19)  par(20)   par(21) par(22)  par(23)
489    // s3=5.e-5+1.e10/(p4*p4+8.5e8*p2+1.e10); b3=1.1+3.4e6/(p4+6.8e6); ss=0.
490    //  par(24) par(25)     par(26)  par(27) par(28) par(29)  par(30)   par(31)
491    //
492    if(lastPAR[nLast]!=pwd) // A unique flag to avoid the repeatable definition
493    {
494      if ( tgZ == 1 && tgN == 0 )
495      {
496        for (G4int ip=0; ip<n_pimpel; ip++) lastPAR[ip]=pimp_el[ip]; // PiMinus+P
497      }
498      else
499      {
500        G4double a=tgZ+tgN;
501        G4double sa=std::sqrt(a);
502        G4double ssa=std::sqrt(sa);
503        G4double asa=a*sa;
504        G4double a2=a*a;
505        G4double a3=a2*a;
506        G4double a4=a3*a;
507        G4double a5=a4*a;
508        G4double a6=a4*a2;
509        G4double a7=a6*a;
510        G4double a8=a7*a;
511        G4double a9=a8*a;
512        G4double a10=a5*a5;
513        G4double a12=a6*a6;
514        G4double a14=a7*a7;
515        G4double a16=a8*a8;
516        G4double a17=a16*a;
517        //G4double a20=a16*a4;
518        G4double a32=a16*a16;
519        // Reaction cross-section parameters (pel=peh_fit.f)
520        lastPAR[0]=(.95*sa+2.E5/a16)/(1.+17/a);                              // p1
521        lastPAR[1]=a/(1./4.4+1./a);                                          // p2
522        lastPAR[2]=.22/std::pow(a,.33);                                      // p3
523        lastPAR[3]=.5*a/(1.+3./a+1800./a8);                                  // p4
524        lastPAR[4]=3.E-4*std::pow(a,.32)/(1.+14./a2);                        // p5
525        lastPAR[5]=0.;                                                       // p6 not used
526        lastPAR[6]=(.55+.001*a2)/(1.+4.E-4*a2);                              // p7
527        lastPAR[7]=(.0002/asa+4.E-9*a)/(1.+9./a4);                           // p8
528        lastPAR[8]=0.;                                                       // p9 not used
529        // @@ the differential cross-section is parameterized separately for A>6 & A<7
530        if(a<6.5)
531        {
532          G4double a28=a16*a12;
533          // The main pre-exponent      (pel_sg)
534          lastPAR[ 9]=4000*a;                                // p1
535          lastPAR[10]=1.2e7*a8+380*a17;                      // p2
536          lastPAR[11]=.7/(1.+4.e-12*a16);                    // p3
537          lastPAR[12]=2.5/a8/(a4+1.e-16*a32);                // p4
538          lastPAR[13]=.28*a;                                 // p5
539          lastPAR[14]=1.2*a2+2.3;                            // p6
540          lastPAR[15]=3.8/a;                                 // p7
541          // The main slope             (pel_sl)
542          lastPAR[16]=.01/(1.+.0024*a5);                     // p1
543          lastPAR[17]=.2*a;                                  // p2
544          lastPAR[18]=9.e-7/(1.+.035*a5);                    // p3
545          lastPAR[19]=(42.+2.7e-11*a16)/(1.+.14*a);          // p4
546          // The main quadratic         (pel_sh)
547          lastPAR[20]=2.25*a3;                               // p1
548          lastPAR[21]=18.;                                   // p2
549          lastPAR[22]=2.4e-3*a8/(1.+2.6e-4*a7);              // p3
550          lastPAR[23]=3.5e-36*a32*a8/(1.+5.e-15*a32/a);      // p4
551          // The 1st max pre-exponent   (pel_qq)
552          lastPAR[24]=1.e5/(a8+2.5e12/a16);                  // p1
553          lastPAR[25]=8.e7/(a12+1.e-27*a28*a28);             // p2
554          lastPAR[26]=.0006*a3;                              // p3
555          // The 1st max slope          (pel_qs)
556          lastPAR[27]=10.+4.e-8*a12*a;                       // p1
557          lastPAR[28]=.114;                                  // p2
558          lastPAR[29]=.003;                                  // p3
559          lastPAR[30]=2.e-23;                                // p4
560          // The effective pre-exponent (pel_ss)
561          lastPAR[31]=1./(1.+.0001*a8);                      // p1
562          lastPAR[32]=1.5e-4/(1.+5.e-6*a12);                 // p2
563          lastPAR[33]=.03;                                   // p3
564          // The effective slope        (pel_sb)
565          lastPAR[34]=a/2;                                   // p1
566          lastPAR[35]=2.e-7*a4;                              // p2
567          lastPAR[36]=4.;                                    // p3
568          lastPAR[37]=64./a3;                                // p4
569          // The gloria pre-exponent    (pel_us)
570          lastPAR[38]=1.e8*std::exp(.32*asa);                // p1
571          lastPAR[39]=20.*std::exp(.45*asa);                 // p2
572          lastPAR[40]=7.e3+2.4e6/a5;                         // p3
573          lastPAR[41]=2.5e5*std::exp(.085*a3);               // p4
574          lastPAR[42]=2.5*a;                                 // p5
575          // The gloria slope           (pel_ub)
576          lastPAR[43]=920.+.03*a8*a3;                        // p1
577          lastPAR[44]=93.+.0023*a12;                         // p2
578#ifdef pdebug
579         G4cout<<"G4QElCS::CalcCS:la "<<lastPAR[38]<<", "<<lastPAR[39]<<", "<<lastPAR[40]
580               <<", "<<lastPAR[42]<<", "<<lastPAR[43]<<", "<<lastPAR[44]<<G4endl;
581#endif
582        }
583        else
584        {
585          G4double p1a10=2.2e-28*a10;
586          G4double r4a16=6.e14/a16;
587          G4double s4a16=r4a16*r4a16;
588          // a24
589          // a36
590          // The main pre-exponent      (peh_sg)
591          lastPAR[ 9]=4.5*std::pow(a,1.15);                  // p1
592          lastPAR[10]=.06*std::pow(a,.6);                    // p2
593          lastPAR[11]=.6*a/(1.+2.e15/a16);                   // p3
594          lastPAR[12]=.17/(a+9.e5/a3+1.5e33/a32);            // p4
595          lastPAR[13]=(.001+7.e-11*a5)/(1.+4.4e-11*a5);      // p5
596          lastPAR[14]=(p1a10*p1a10+2.e-29)/(1.+2.e-22*a12);  // p6
597          // The main slope             (peh_sl)
598          lastPAR[15]=400./a12+2.e-22*a9;                    // p1
599          lastPAR[16]=1.e-32*a12/(1.+5.e22/a14);             // p2
600          lastPAR[17]=1000./a2+9.5*sa*ssa;                   // p3
601          lastPAR[18]=4.e-6*a*asa+1.e11/a16;                 // p4
602          lastPAR[19]=(120./a+.002*a2)/(1.+2.e14/a16);       // p5
603          lastPAR[20]=9.+100./a;                             // p6
604          // The main quadratic         (peh_sh)
605          lastPAR[21]=.002*a3+3.e7/a6;                       // p1
606          lastPAR[22]=7.e-15*a4*asa;                         // p2
607          lastPAR[23]=9000./a4;                              // p3
608          // The 1st max pre-exponent   (peh_qq)
609          lastPAR[24]=.0011*asa/(1.+3.e34/a32/a4);           // p1
610          lastPAR[25]=1.e-5*a2+2.e14/a16;                    // p2
611          lastPAR[26]=1.2e-11*a2/(1.+1.5e19/a12);            // p3
612          lastPAR[27]=.016*asa/(1.+5.e16/a16);               // p4
613          // The 1st max slope          (peh_qs)
614          lastPAR[28]=.002*a4/(1.+7.e7/std::pow(a-6.83,14)); // p1
615          lastPAR[29]=2.e6/a6+7.2/std::pow(a,.11);           // p2
616          lastPAR[30]=11.*a3/(1.+7.e23/a16/a8);              // p3
617          lastPAR[31]=100./asa;                              // p4
618          // The 2nd max pre-exponent   (peh_ss)
619          lastPAR[32]=(.1+4.4e-5*a2)/(1.+5.e5/a4);           // p1
620          lastPAR[33]=3.5e-4*a2/(1.+1.e8/a8);                // p2
621          lastPAR[34]=1.3+3.e5/a4;                           // p3
622          lastPAR[35]=500./(a2+50.)+3;                       // p4
623          lastPAR[36]=1.e-9/a+s4a16*s4a16;                   // p5
624          // The 2nd max slope          (peh_sb)
625          lastPAR[37]=.4*asa+3.e-9*a6;                       // p1
626          lastPAR[38]=.0005*a5;                              // p2
627          lastPAR[39]=.002*a5;                               // p3
628          lastPAR[40]=10.;                                   // p4
629          // The effective pre-exponent (peh_us)
630          lastPAR[41]=.05+.005*a;                            // p1
631          lastPAR[42]=7.e-8/sa;                              // p2
632          lastPAR[43]=.8*sa;                                 // p3
633          lastPAR[44]=.02*sa;                                // p4
634          lastPAR[45]=1.e8/a3;                               // p5
635          lastPAR[46]=3.e32/(a32+1.e32);                     // p6
636          // The effective slope        (peh_ub)
637          lastPAR[47]=24.;                                   // p1
638          lastPAR[48]=20./sa;                                // p2
639          lastPAR[49]=7.e3*a/(sa+1.);                        // p3
640          lastPAR[50]=900.*sa/(1.+500./a3);                  // p4
641#ifdef pdebug
642         G4cout<<"G4QElCS::CalcCS:ha "<<lastPAR[41]<<", "<<lastPAR[42]<<", "<<lastPAR[43]
643               <<", "<<lastPAR[44]<<", "<<lastPAR[45]<<", "<<lastPAR[46]<<G4endl;
644#endif
645        }
646        // Parameter for lowEnergyNeutrons
647        lastPAR[51]=1.e15+2.e27/a4/(1.+2.e-18*a16);
648      }
649      lastPAR[nLast]=pwd;
650      // and initialize the zero element of the table
651      G4double lp=lPMin;                                      // ln(momentum)
652      G4bool memCS=onlyCS;                                    // ??
653      onlyCS=false;
654      lastCST[0]=GetTabValues(lp, PDG, tgZ, tgN); // Calculate AMDB tables
655      onlyCS=memCS;
656      lastSST[0]=theSS;
657      lastS1T[0]=theS1;
658      lastB1T[0]=theB1;
659      lastS2T[0]=theS2;
660      lastB2T[0]=theB2;
661      lastS3T[0]=theS3;
662      lastB3T[0]=theB3;
663      lastS4T[0]=theS4;
664      lastB4T[0]=theB4;
665#ifdef pdebug
666      G4cout<<"G4QPionMinusElasticCrossSection::GetPTables:ip=0(init), lp="<<lp<<",S1="
667            <<theS1<<",B1="<<theB1<<",S2="<<theS2<<",B2="<<theB3<<",S3="<<theS3
668            <<",B3="<<theB3<<",S4="<<theS4<<",B4="<<theB4<<G4endl;
669#endif
670    }
671    if(LP>ILP)
672    {
673      G4int ini = static_cast<int>((ILP-lPMin+.000001)/dlnP)+1; // already inited till this
674      if(ini<0) ini=0;
675      if(ini<nPoints)
676      {
677        G4int fin = static_cast<int>((LP-lPMin)/dlnP)+1; // final bin of initialization
678        if(fin>=nPoints) fin=nLast;               // Limit of the tabular initialization
679        if(fin>=ini)
680        {
681          G4double lp=0.;
682          for(G4int ip=ini; ip<=fin; ip++)        // Calculate tabular CS,S1,B1,S2,B2,S3,B3
683          {
684            lp=lPMin+ip*dlnP;                     // ln(momentum)
685            G4bool memCS=onlyCS;
686            onlyCS=false;
687            lastCST[ip]=GetTabValues(lp, PDG, tgZ, tgN); // Calculate AMDB tables (ret CS)
688            onlyCS=memCS;
689            lastSST[ip]=theSS;
690            lastS1T[ip]=theS1;
691            lastB1T[ip]=theB1;
692            lastS2T[ip]=theS2;
693            lastB2T[ip]=theB2;
694            lastS3T[ip]=theS3;
695            lastB3T[ip]=theB3;
696            lastS4T[ip]=theS4;
697            lastB4T[ip]=theB4;
698#ifdef pdebug
699            G4cout<<"G4QPionMinusElasticCrossSection::GetPTables:ip="<<ip<<",lp="<<lp
700                  <<",S1="<<theS1<<",B1="<<theB1<<",S2="<<theS2<<",B2="<<theB2<<",S3="
701                  <<theS3<<",B3="<<theB3<<",S4="<<theS4<<",B4="<<theB4<<G4endl;
702#endif
703          }
704          return lp;
705        }
706        else G4cout<<"*Warning*G4QPionMinusElasticCrossSection::GetPTables: PDG="<<PDG
707                   <<", Z="<<tgZ<<", N="<<tgN<<", i="<<ini<<" > fin="<<fin<<", LP="<<LP
708                   <<" > ILP="<<ILP<<" nothing is done!"<<G4endl;
709      }
710      else G4cout<<"*Warning*G4QPionMinusElasticCrossSection::GetPTables: PDG="<<PDG
711                 <<", Z="<<tgZ<<", N="<<tgN<<", i="<<ini<<">= max="<<nPoints<<", LP="<<LP
712                 <<" > ILP="<<ILP<<", lPMax="<<lPMax<<" nothing is done!"<<G4endl;
713    }
714#ifdef pdebug
715    else G4cout<<"*Warning*G4QPionMinusElasticCrossSection::GetPTab:PDG="<<PDG<<", Z="<<tgZ
716               <<", N="<<tgN<<", LP="<<LP<<" <= ILP="<<ILP<<" nothing is done!"<<G4endl;
717#endif
718  }
719  else
720  {
721    G4cout<<"*Error*G4QPionMinusElasticCrossSection::GetPTables: PDG="<<PDG<<", Z="<<tgZ
722          <<", N="<<tgN<<", while it is defined only for PDG=-211"<<G4endl;
723    throw G4QException("G4QPionMinusElasticCrossSection::GetPTables:onlyPipA implemented");
724  }
725  return ILP;
726}
727
728// Returns Q2=-t in independent units (MeV^2) (all internal calculations are in GeV)
729G4double G4QPionMinusElasticCrossSection::GetExchangeT(G4int tgZ, G4int tgN, G4int PDG)
730{
731  static const G4double GeVSQ=gigaelectronvolt*gigaelectronvolt;
732  static const G4double third=1./3.;
733  static const G4double fifth=1./5.;
734  static const G4double sevth=1./7.;
735#ifdef tdebug
736  G4cout<<"G4QPiPlElCS::GetExcT: F="<<onlyCS<<",Z="<<tgZ<<",N="<<tgN<<",PDG="<<PDG<<G4endl;
737#endif
738  if(PDG!=-211)G4cout<<"Warning*G4QPionMinusElasticCrossSection::GetExT:PDG="<<PDG<<G4endl;
739  if(onlyCS)G4cout<<"Warning*G4QPionMinusElasticCrossSection::GetExchanT:onlyCS=1"<<G4endl;
740  if(lastLP<-4.3) return lastTM*GeVSQ*G4UniformRand();// S-wave for p<14 MeV/c (kinE<.1MeV)
741  G4double q2=0.;
742  if(tgZ==1 && tgN==0)                // ===> p+p=p+p
743  {
744#ifdef tdebug
745    G4cout<<"G4QElasticCS::GetExchangeT: TM="<<lastTM<<",S1="<<theS1<<",B1="<<theB1<<",S2="
746          <<theS2<<",B2="<<theB2<<",S3="<<theS3<<",B3="<<theB3<<",GeV2="<<GeVSQ<<G4endl;
747#endif
748    G4double E1=lastTM*theB1;
749    G4double R1=(1.-std::exp(-E1));
750#ifdef tdebug
751    G4double ts1=-std::log(1.-R1)/theB1;
752    G4double ds1=std::fabs(ts1-lastTM)/lastTM;
753    if(ds1>.0001)
754      G4cout<<"*Warning*G4QElCS::GetExT:1p "<<ts1<<"#"<<lastTM<<",d="<<ds1
755            <<",R1="<<R1<<",E1="<<E1<<G4endl;
756#endif
757    G4double E2=lastTM*theB2;
758    G4double R2=(1.-std::exp(-E2*E2*E2));
759#ifdef tdebug
760    G4double ts2=std::pow(-std::log(1.-R2),.333333333)/theB2;
761    G4double ds2=std::fabs(ts2-lastTM)/lastTM;
762    if(ds2>.0001)
763      G4cout<<"*Warning*G4QElCS::GetExT:2p "<<ts2<<"#"<<lastTM<<",d="<<ds2
764            <<",R2="<<R2<<",E2="<<E2<<G4endl;
765#endif
766    G4double E3=lastTM*theB3;
767    G4double R3=(1.-std::exp(-E3));
768#ifdef tdebug
769    G4double ts3=-std::log(1.-R3)/theB3;
770    G4double ds3=std::fabs(ts3-lastTM)/lastTM;
771    if(ds3>.0001)
772      G4cout<<"*Warning*G4QElCS::GetExT:3p "<<ts3<<"#"<<lastTM<<",d="<<ds3
773            <<",R3="<<R1<<",E3="<<E3<<G4endl;
774#endif
775    G4double I1=R1*theS1/theB1;
776    G4double I2=R2*theS2;
777    G4double I3=R3*theS3;
778    G4double I12=I1+I2;
779    G4double rand=(I12+I3)*G4UniformRand();
780    if     (rand<I1 )
781    {
782      G4double ran=R1*G4UniformRand();
783      if(ran>1.) ran=1.;
784      q2=-std::log(1.-ran)/theB1;
785    }
786    else if(rand<I12)
787    {
788      G4double ran=R2*G4UniformRand();
789      if(ran>1.) ran=1.;
790      q2=-std::log(1.-ran);
791      if(q2<0.) q2=0.;
792      q2=std::pow(q2,third)/theB2;
793    }
794    else
795    {
796      G4double ran=R3*G4UniformRand();
797      if(ran>1.) ran=1.;
798      q2=-std::log(1.-ran)/theB3;
799    }
800  }
801  else
802  {
803    G4double a=tgZ+tgN;
804#ifdef tdebug
805    G4cout<<"G4QElCS::GetExT: a="<<a<<",t="<<lastTM<<",S1="<<theS1<<",B1="<<theB1<<",SS="
806          <<theSS<<",S2="<<theS2<<",B2="<<theB2<<",S3="<<theS3<<",B3="<<theB3<<",S4="
807          <<theS4<<",B4="<<theB4<<G4endl;
808#endif
809    G4double E1=lastTM*(theB1+lastTM*theSS);
810    G4double R1=(1.-std::exp(-E1));
811    G4double tss=theSS+theSS; // for future solution of quadratic equation (imediate check)
812#ifdef tdebug
813    G4double ts1=-std::log(1.-R1)/theB1;
814    if(std::fabs(tss)>1.e-7) ts1=(std::sqrt(theB1*(theB1+(tss+tss)*ts1))-theB1)/tss;
815    G4double ds1=(ts1-lastTM)/lastTM;
816    if(ds1>.0001)
817      G4cout<<"*Warning*G4QElCS::GetExT:1a "<<ts1<<"#"<<lastTM<<",d="<<ds1
818            <<",R1="<<R1<<",E1="<<E1<<G4endl;
819#endif
820    G4double tm2=lastTM*lastTM;
821    G4double E2=lastTM*tm2*theB2;                   // power 3 for lowA, 5 for HighA (1st)
822    if(a>6.5)E2*=tm2;                               // for heavy nuclei
823    G4double R2=(1.-std::exp(-E2));
824#ifdef tdebug
825    G4double ts2=-std::log(1.-R2)/theB2;
826    if(a<6.5)ts2=std::pow(ts2,third);
827    else     ts2=std::pow(ts2,fifth);
828    G4double ds2=std::fabs(ts2-lastTM)/lastTM;
829    if(ds2>.0001)
830      G4cout<<"*Warning*G4QElCS::GetExT:2a "<<ts2<<"#"<<lastTM<<",d="<<ds2
831            <<",R2="<<R2<<",E2="<<E2<<G4endl;
832#endif
833    G4double E3=lastTM*theB3;
834    if(a>6.5)E3*=tm2*tm2*tm2;                       // power 1 for lowA, 7 (2nd) for HighA
835    G4double R3=(1.-std::exp(-E3));
836#ifdef tdebug
837    G4double ts3=-std::log(1.-R3)/theB3;
838    if(a>6.5)ts3=std::pow(ts3,sevth);
839    G4double ds3=std::fabs(ts3-lastTM)/lastTM;
840    if(ds3>.0001)
841      G4cout<<"*Warning*G4QElCS::GetExT:3a "<<ts3<<"#"<<lastTM<<",d="<<ds3
842            <<",R3="<<R3<<",E3="<<E3<<G4endl;
843#endif
844    G4double E4=lastTM*theB4;
845    G4double R4=(1.-std::exp(-E4));
846#ifdef tdebug
847    G4double ts4=-std::log(1.-R4)/theB4;
848    G4double ds4=std::fabs(ts4-lastTM)/lastTM;
849    if(ds4>.0001)
850      G4cout<<"*Warning*G4QElCS::GetExT:4a "<<ts4<<"#"<<lastTM<<",d="<<ds4
851            <<",R4="<<R4<<",E4="<<E4<<G4endl;
852#endif
853    G4double I1=R1*theS1;
854    G4double I2=R2*theS2;
855    G4double I3=R3*theS3;
856    G4double I4=R4*theS4;
857    G4double I12=I1+I2;
858    G4double I13=I12+I3;
859    G4double rand=(I13+I4)*G4UniformRand();
860#ifdef tdebug
861    G4cout<<"G4QElCS::GtExT:1="<<I1<<",2="<<I2<<",3="<<I3<<",4="<<I4<<",r="<<rand<<G4endl;
862#endif
863    if(rand<I1)
864    {
865      G4double ran=R1*G4UniformRand();
866      if(ran>1.) ran=1.;
867      q2=-std::log(1.-ran)/theB1;
868      if(std::fabs(tss)>1.e-7) q2=(std::sqrt(theB1*(theB1+(tss+tss)*q2))-theB1)/tss;
869#ifdef tdebug
870      G4cout<<"G4QElCS::GetExT:Q2="<<q2<<",ss="<<tss/2<<",b1="<<theB1<<",t1="<<ts1<<G4endl;
871#endif
872    }
873    else if(rand<I12)
874    {
875      G4double ran=R2*G4UniformRand();
876      if(ran>1.) ran=1.;
877      q2=-std::log(1.-ran)/theB2;
878      if(q2<0.) q2=0.;
879      if(a<6.5) q2=std::pow(q2,third);
880      else      q2=std::pow(q2,fifth);
881#ifdef tdebug
882      G4cout<<"G4QElCS::GetExT: Q2="<<q2<<", r2="<<R2<<", b2="<<theB2<<",t2="<<ts2<<G4endl;
883#endif
884    }
885    else if(rand<I13)
886    {
887      G4double ran=R3*G4UniformRand();
888      if(ran>1.) ran=1.;
889      q2=-std::log(1.-ran)/theB3;
890      if(q2<0.) q2=0.;
891      if(a>6.5) q2=std::pow(q2,sevth);
892#ifdef tdebug
893      G4cout<<"G4QElCS::GetExT:Q2="<<q2<<", r3="<<R2<<", b3="<<theB2<<",t3="<<ts2<<G4endl;
894#endif
895    }
896    else
897    {
898      G4double ran=R4*G4UniformRand();
899      if(ran>1.) ran=1.;
900      q2=-std::log(1.-ran)/theB4;
901      if(a<6.5) q2=lastTM-q2;                    // u reduced for lightA (starts from 0)
902#ifdef tdebug
903      G4cout<<"G4QElCS::GetExT:Q2="<<q2<<",m="<<lastTM<<",b4="<<theB3<<",t4="<<ts3<<G4endl;
904#endif
905    }
906  }
907  if(q2<0.) q2=0.;
908  if(!(q2>=-1.||q2<=1.)) G4cout<<"*NAN*G4QElasticCrossSect::GetExchangeT: -t="<<q2<<G4endl;
909  if(q2>lastTM)
910  {
911#ifdef tdebug
912    G4cout<<"*Warning*G4QElasticCrossSect::GetExT:-t="<<q2<<">"<<lastTM<<G4endl;
913#endif
914    q2=lastTM;
915  }
916  return q2*GeVSQ;
917}
918
919// Returns B in independent units (MeV^-2) (all internal calculations are in GeV) see ExT
920G4double G4QPionMinusElasticCrossSection::GetSlope(G4int tgZ, G4int tgN, G4int PDG)
921{
922  static const G4double GeVSQ=gigaelectronvolt*gigaelectronvolt;
923#ifdef tdebug
924  G4cout<<"G4QElasticCS::GetSlope:"<<onlyCS<<", Z="<<tgZ<<",N="<<tgN<<",PDG="<<PDG<<G4endl;
925#endif
926  if(onlyCS)G4cout<<"Warning*G4QPionMinusElasticCrossSection::GetSlope:onlCS=true"<<G4endl;
927  if(lastLP<-4.3) return 0.;          // S-wave for p<14 MeV/c (kinE<.1MeV)
928  if(PDG !=-211)
929  {
930    G4cout<<"*Error*G4QPionMinusElasticCrossSection::GetSlope: PDG="<<PDG<<", Z="<<tgZ
931          <<", N="<<tgN<<", while it is defined only for PDG=-211"<<G4endl;
932    throw G4QException("G4QPionMinusElasticCrossSection::GetSlope: pipA are implemented");
933  }
934  if(theB1<0.) theB1=0.;
935  if(!(theB1>=-1.||theB1<=1.))G4cout<<"*NAN*G4QElasticCrossSect::Getslope:"<<theB1<<G4endl;
936  return theB1/GeVSQ;
937}
938
939// Returns half max(Q2=-t) in independent units (MeV^2)
940G4double G4QPionMinusElasticCrossSection::GetHMaxT()
941{
942  static const G4double HGeVSQ=gigaelectronvolt*gigaelectronvolt/2.;
943  return lastTM*HGeVSQ;
944}
945
946// lastLP is used, so calculating tables, one need to remember and then recover lastLP
947G4double G4QPionMinusElasticCrossSection::GetTabValues(G4double lp, G4int PDG, G4int tgZ,
948                                                    G4int tgN)
949{
950  if(PDG!=-211)G4cout<<"*Warn*G4QPionMinusElasticCrossSection::GetTabV: PDG="<<PDG<<G4endl;
951  if(tgZ<0 || tgZ>92)
952  {
953    G4cout<<"*Warning*G4QPionPlusElCS::GetTabValue:(1-92) No isotopes for Z="<<tgZ<<G4endl;
954    return 0.;
955  }
956  G4int iZ=tgZ-1; // Z index
957  if(iZ<0)
958  {
959    iZ=0;         // conversion of the neutron target to the proton target
960    tgZ=1;
961    tgN=0;
962  }
963  //if(nN[iZ][0] < 0)
964  //{
965#ifdef isodebug
966  //  G4cout<<"*Warning*G4QElasticCS::GetTabValue: No isotopes for Z="<<tgZ<<G4endl;
967#endif
968  //  return 0.;
969  //}
970#ifdef pdebug
971  G4cout<<"G4QElasticCS::GetTabVal: lp="<<lp<<",Z="<<tgZ<<",N="<<tgN<<",PDG="<<PDG<<G4endl;
972#endif
973  G4double p=std::exp(lp);              // momentum
974  G4double sp=std::sqrt(p);             // sqrt(p)
975  G4double p2=p*p;           
976  G4double p3=p2*p;
977  G4double p4=p3*p;
978  if ( tgZ == 1 && tgN == 0 ) // PiMin+P
979  {
980    G4double dl2=lp-lastPAR[14];
981    theSS=lastPAR[37];
982    theS1=(lastPAR[15]+lastPAR[16]*dl2*dl2)/(1.+lastPAR[17]/p4/p)+
983          (lastPAR[18]/p2+lastPAR[19]*p)/(p4+lastPAR[20]*sp);
984    theB1=lastPAR[21]*std::pow(p,lastPAR[22])/(1.+lastPAR[23]/p3);
985    theS2=lastPAR[24]+lastPAR[25]/(p4+lastPAR[26]*p);
986    theB2=lastPAR[27]+lastPAR[28]/(p4+lastPAR[29]/sp); 
987    theS3=lastPAR[30]+lastPAR[31]/(p4*p4+lastPAR[32]*p2+lastPAR[33]);
988    theB3=lastPAR[34]+lastPAR[35]/(p4+lastPAR[36]); 
989    theS4=0.;
990    theB4=0.; 
991#ifdef tdebug
992    G4cout<<"G4QElasticCS::GetTableValues:(pp) TM="<<lastTM<<",S1="<<theS1<<",B1="<<theB1
993          <<",S2="<<theS2<<",B2="<<theB2<<",S3="<<theS1<<",B3="<<theB1<<G4endl;
994#endif
995    // Returns the total elastic pim-p cross-section (to avoid spoiling lastSIG)
996    G4double lr=lp+lastPAR[0];  // lr
997    G4double ld=lp-lastPAR[14];
998    G4double dl3=lp+lastPAR[4]; // lm
999    G4double dl4=lp-lastPAR[6]; // lh
1000    return lastPAR[1]/(lr*lr+lastPAR[2])+
1001           (lastPAR[8]*ld*ld+lastPAR[9]+lastPAR[10]/sp)/(1.+lastPAR[11]/p4)+
1002           lastPAR[12]/(dl3*dl3+lastPAR[5])+lastPAR[13]/(dl4*dl4+lastPAR[7]);
1003  }
1004  else
1005  {
1006    G4double p5=p4*p;
1007    G4double p6=p5*p;
1008    G4double p8=p6*p2;
1009    G4double p10=p8*p2;
1010    G4double p12=p10*p2;
1011    G4double p16=p8*p8;
1012    //G4double p24=p16*p8;
1013    G4double dl=lp-5.;
1014    G4double a=tgZ+tgN;
1015    G4double pah=std::pow(p,a/2);
1016    G4double pa=pah*pah;
1017    G4double pa2=pa*pa;
1018    if(a<6.5)
1019    {
1020      theS1=lastPAR[9]/(1.+lastPAR[10]*p4*pa)+lastPAR[11]/(p4+lastPAR[12]*p4/pa2)+
1021            (lastPAR[13]*dl*dl+lastPAR[14])/(1.+lastPAR[15]/p2);
1022      theB1=(lastPAR[16]+lastPAR[17]*p2)/(p4+lastPAR[18]/pah)+lastPAR[19];
1023      theSS=lastPAR[20]/(1.+lastPAR[21]/p2)+lastPAR[22]/(p6/pa+lastPAR[23]/p16);
1024      theS2=lastPAR[24]/(pa/p2+lastPAR[25]/p4)+lastPAR[26];
1025      theB2=lastPAR[27]*std::pow(p,lastPAR[28])+lastPAR[29]/(p8+lastPAR[30]/p16);
1026      theS3=lastPAR[31]/(pa*p+lastPAR[32]/pa)+lastPAR[33];
1027      theB3=lastPAR[34]/(p3+lastPAR[35]/p6)+lastPAR[36]/(1.+lastPAR[37]/p2);
1028      theS4=p2*(pah*lastPAR[38]*std::exp(-pah*lastPAR[39])+
1029                lastPAR[40]/(1.+lastPAR[41]*std::pow(p,lastPAR[42])));
1030      theB4=lastPAR[43]*pa/p2/(1.+pa*lastPAR[44]);
1031#ifdef tdebug
1032      G4cout<<"G4QElCS::GetTabV: lA, p="<<p<<",S1="<<theS1<<",B1="<<theB1<<",SS="<<theSS
1033            <<",S2="<<theS2<<",B2="<<theB2<<",S3="<<theS3<<",B3="<<theB3<<",S4="<<theS4
1034            <<",B4="<<theB4<<G4endl;
1035#endif
1036    }
1037    else
1038    {
1039      theS1=lastPAR[9]/(1.+lastPAR[10]/p4)+lastPAR[11]/(p4+lastPAR[12]/p2)+
1040            lastPAR[13]/(p5+lastPAR[14]/p16);
1041      theB1=(lastPAR[15]/p8+lastPAR[19])/(p+lastPAR[16]/std::pow(p,lastPAR[20]))+
1042            lastPAR[17]/(1.+lastPAR[18]/p4);
1043      theSS=lastPAR[21]/(p4/std::pow(p,lastPAR[23])+lastPAR[22]/p4);
1044      theS2=lastPAR[24]/p4/(std::pow(p,lastPAR[25])+lastPAR[26]/p12)+lastPAR[27];
1045      theB2=lastPAR[28]/std::pow(p,lastPAR[29])+lastPAR[30]/std::pow(p,lastPAR[31]);
1046      theS3=lastPAR[32]/std::pow(p,lastPAR[35])/(1.+lastPAR[36]/p12)+
1047            lastPAR[33]/(1.+lastPAR[34]/p6);
1048      theB3=lastPAR[37]/p8+lastPAR[38]/p2+lastPAR[39]/(1.+lastPAR[40]/p8);
1049      theS4=(lastPAR[41]/p4+lastPAR[46]/p)/(1.+lastPAR[42]/p10)+
1050            (lastPAR[43]+lastPAR[44]*dl*dl)/(1.+lastPAR[45]/p12);
1051      theB4=lastPAR[47]/(1.+lastPAR[48]/p)+lastPAR[49]*p4/(1.+lastPAR[50]*p5);
1052#ifdef tdebug
1053      G4cout<<"G4QElCS::GetTabV: hA, p="<<p<<",S1="<<theS1<<",B1="<<theB1<<",SS="<<theSS
1054            <<",S2="<<theS2<<",B2="<<theB2<<",S3="<<theS3<<",B3="<<theB3<<",S4="<<theS4
1055            <<",B4="<<theB4<<G4endl;
1056#endif
1057    }
1058    // Returns the total elastic (n/p)A cross-section (to avoid spoiling lastSIG)
1059#ifdef tdebug
1060    G4cout<<"G4QElCS::GetTabV: PDG="<<PDG<<",P="<<p<<",N="<<tgN<<",Z="<<tgZ<<G4endl;
1061#endif
1062    //         p1               p2              p3
1063    return (lastPAR[0]*dl*dl+lastPAR[1])/(1.+lastPAR[2]/p8)+
1064           lastPAR[3]/(p4+lastPAR[4]/p3)+lastPAR[6]/(p4+lastPAR[7]/p4);
1065    //        p4             p5               p7           p8
1066  }
1067  return 0.;
1068} // End of GetTableValues
1069
1070// Returns max -t=Q2 (GeV^2) for the momentum pP(GeV) and the target nucleus (tgN,tgZ)
1071G4double G4QPionMinusElasticCrossSection::GetQ2max(G4int PDG, G4int tgZ, G4int tgN,
1072                                                G4double pP)
1073{
1074  //static const G4double mNeut= G4QPDGCode(2112).GetMass()*.001; // MeV to GeV
1075  static const G4double mPi= G4QPDGCode(211).GetMass()*.001; // pion mass MeV to GeV
1076  //static const G4double mProt= G4QPDGCode(2212).GetMass()*.001; // MeV to GeV
1077  //static const G4double mLamb= G4QPDGCode(3122).GetMass()*.001; // MeV to GeV
1078  //static const G4double mHe3 = G4QPDGCode(2112).GetNuclMass(2,1,0)*.001; // MeV to GeV
1079  //static const G4double mAlph = G4QPDGCode(2112).GetNuclMass(2,2,0)*.001; // MeV to GeV
1080  //static const G4double mDeut = G4QPDGCode(2112).GetNuclMass(1,1,0)*.001; // MeV to GeV
1081  static const G4double mPi2= mPi*mPi;
1082  //static const G4double mProt2= mProt*mProt;
1083  //static const G4double mNeut2= mNeut*mNeut;
1084  //static const G4double mDeut2= mDeut*mDeut;
1085  G4double pP2=pP*pP;                                 // squared momentum of the projectile
1086  if(tgZ || tgN>-1)                                   // ---> pipA
1087  {
1088    G4double mt=G4QPDGCode(90000000+tgZ*1000+tgN).GetMass()*.001; // Target mass in GeV
1089    G4double dmt=mt+mt;
1090    G4double s=dmt*std::sqrt(pP2+mPi2)+mPi2+mt*mt;    // Mondelstam s
1091    return dmt*dmt*pP2/s;
1092  }
1093  else
1094  {
1095    G4cout<<"*Error*G4QPionMinusElasticCrossSection::GetQ2max:PDG="<<PDG<<",Z="<<tgZ<<",N="
1096          <<tgN<<", while it is defined only for p projectiles & Z_target>0"<<G4endl;
1097    throw G4QException("G4QPionMinusElasticCrossSection::GetQ2max: only pipA implemented");
1098  }
1099}
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