G4QKaonMinusNuclearCrossSection.cc

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00025 //
00026 //
00027 // The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
00028 // GEANT4 tag $Name: not supported by cvs2svn $
00029 //
00030 //
00031 // G4 Physics class: G4QKaonMinusNuclearCrossSection for gamma+A cross sections
00032 // Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03
00033 // The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04
00034 // --------------------------------------------------------------------------------
00035 // ****************************************************************************************
00036 // This Header is a part of the CHIPS physics package (author: M. Kosov)
00037 // ****************************************************************************************
00038 // Short description: CHIPS cross-sections for kaon(minus)-nuclear interactions
00039 // -------------------------------------------------------------------------------------
00040 //
00041 //#define debug
00042 //#define pdebug
00043 //#define debug3
00044 //#define debugn
00045 //#define debugs
00046 
00047 #include "G4QKaonMinusNuclearCrossSection.hh"
00048 #include "G4SystemOfUnits.hh"
00049 
00050 // Initialization of the
00051 G4double* G4QKaonMinusNuclearCrossSection::lastLEN=0; // Pointer to lastArray of LowEn CS
00052 G4double* G4QKaonMinusNuclearCrossSection::lastHEN=0; // Pointer to lastArray of HighEn CS
00053 G4int     G4QKaonMinusNuclearCrossSection::lastN=0;   // The last N of calculated nucleus
00054 G4int     G4QKaonMinusNuclearCrossSection::lastZ=0;   // The last Z of calculated nucleus
00055 G4double  G4QKaonMinusNuclearCrossSection::lastP=0.;  // Last used in CrossSection Momentum
00056 G4double  G4QKaonMinusNuclearCrossSection::lastTH=0.; // Last threshold momentum
00057 G4double  G4QKaonMinusNuclearCrossSection::lastCS=0.; // Last value of the Cross Section
00058 G4int     G4QKaonMinusNuclearCrossSection::lastI=0;   // The last position in the DAMDB
00059 std::vector<G4double*>* G4QKaonMinusNuclearCrossSection::LEN = new std::vector<G4double*>;
00060 std::vector<G4double*>* G4QKaonMinusNuclearCrossSection::HEN = new std::vector<G4double*>;
00061 
00062 // Returns Pointer to the G4VQCrossSection class
00063 G4VQCrossSection* G4QKaonMinusNuclearCrossSection::GetPointer()
00064 {
00065   static G4QKaonMinusNuclearCrossSection theCrossSection;//**Static body of Cross Section**
00066   return &theCrossSection;
00067 }
00068 
00069 G4QKaonMinusNuclearCrossSection::~G4QKaonMinusNuclearCrossSection()
00070 {
00071   G4int lens=LEN->size();
00072   for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i];
00073   delete LEN;
00074   G4int hens=HEN->size();
00075   for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i];
00076   delete HEN;
00077 }
00078 
00079 // The main member function giving the collision cross section (P is in IU, CS is in mb)
00080 // Make pMom in independent units ! (Now it is MeV)
00081 G4double G4QKaonMinusNuclearCrossSection::GetCrossSection(G4bool fCS, G4double pMom,
00082                                                        G4int tgZ, G4int tgN, G4int PDG)
00083 {
00084   //A.R.23-Oct-2012 Shadowed variable  static G4double tolerance=0.001;     // Tolerance (0.1%) to consider as "the same mom"
00085   static G4int j;                      // A#0f Z/N-records already tested in AMDB
00086   static std::vector <G4int>    colN;  // Vector of N for calculated nuclei (isotops)
00087   static std::vector <G4int>    colZ;  // Vector of Z for calculated nuclei (isotops)
00088   static std::vector <G4double> colP;  // Vector of last momenta for the reaction
00089   static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction
00090   static std::vector <G4double> colCS; // Vector of last cross sections for the reaction
00091   // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---***
00092 #ifdef debug
00093   G4cout<<"G4QKmCS::GetCS:>>> f="<<fCS<<", p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="<<tgN
00094         <<"("<<lastN<<"),PDG="<<PDG<<", thresh="<<lastTH<<",Sz="<<colN.size()<<G4endl;
00095 #endif
00096   if(PDG!=-321) G4cout<<"-Warning-G4QPiMinusCS::GetCS:**Not a KMinus**,PDG="<<PDG<<G4endl;
00097   G4bool in=false;                     // By default the isotope must be found in the AMDB
00098   if(tgN!=lastN || tgZ!=lastZ)         // The nucleus was not the last used isotope
00099   {
00100     in = false;                        // By default the isotope haven't be found in AMDB  
00101     lastP   = 0.;                      // New momentum history (nothing to compare with)
00102     lastN   = tgN;                     // The last N of the calculated nucleus
00103     lastZ   = tgZ;                     // The last Z of the calculated nucleus
00104     lastI   = colN.size();             // Size of the Associative Memory DB in the heap
00105     j  = 0;                            // A#0f records found in DB for this projectile
00106 #ifdef debug
00107     G4cout<<"G4QKmCS::GetCS: the amount of records in the AMDB lastI="<<lastI<<G4endl;
00108 #endif
00109     if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
00110     {
00111       if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
00112       {
00113         lastI=i;                       // Remember the index for future fast/last use
00114         lastTH =colTH[i];              // The last THreshold (A-dependent)
00115 #ifdef debug
00116         G4cout<<"G4QKmCS::GetCS:*Found* P="<<pMom<<",Threshold="<<lastTH<<",j="<<j<<G4endl;
00117 #endif
00118         if(pMom<=lastTH)
00119         {
00120 #ifdef debug
00121           G4cout<<"G4QPCS::GetCS:Found,P="<<pMom<<" < Threshold="<<lastTH<<",CS=0"<<G4endl;
00122 #endif
00123           return 0.;                   // Energy is below the Threshold value
00124         }
00125         lastP  =colP [i];              // Last Momentum  (A-dependent)
00126         lastCS =colCS[i];              // Last CrossSect (A-dependent)
00127         if(std::fabs(lastP-pMom)<tolerance*pMom)
00128         //if(lastP==pMom)              // VI do not use tolerance
00129         {
00130 #ifdef debug
00131           G4cout<<"..G4QKmCS::GetCS:.DoNothing.P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
00132 #endif
00133           //CalculateCrossSection(fCS,-1,j,-321,lastZ,lastN,pMom); // Update param's only
00134           return lastCS*millibarn;     // Use theLastCS
00135         }
00136         in = true;                     // This is the case when the isotop is found in DB
00137         // Momentum pMom is in IU ! @@ Units
00138 #ifdef debug
00139         G4cout<<"G4QKmCS::G:UpdatDB P="<<pMom<<",f="<<fCS<<",lI="<<lastI<<",j="<<j<<G4endl;
00140 #endif
00141         lastCS=CalculateCrossSection(fCS,-1,j,-321,lastZ,lastN,pMom); // read & update
00142 #ifdef debug
00143         G4cout<<"G4QKmCS::GetCrosSec: *****> New (inDB) Calculated CS="<<lastCS<<G4endl;
00144 #endif
00145         if(lastCS<=0. && pMom>lastTH)  // Correct the threshold (@@ No intermediate Zeros)
00146         {
00147 #ifdef debug
00148           G4cout<<"G4QKmCS::GetCS: New P="<<pMom<<"(CS=0) > Threshold="<<lastTH<<G4endl;
00149 #endif
00150           lastCS=0.;
00151           lastTH=pMom;
00152         }
00153         break;                         // Go out of the LOOP
00154       }
00155 #ifdef debug
00156       G4cout<<"-->G4QKmCrossSec::GetCrosSec: pPDG=-321, j="<<j<<", N="<<colN[i]
00157             <<",Z["<<i<<"]="<<colZ[i]<<G4endl;
00158 #endif
00159       j++;                             // Increment a#0f records found in DB
00160     }
00161 #ifdef debug
00162     G4cout<<"-?-G4QKmCS::GetCS:RC Z="<<tgZ<<",N="<<tgN<<",in="<<in<<",j="<<j<<" ?"<<G4endl;
00163 #endif
00164     if(!in)                            // This isotope has not been calculated previously
00165     {
00166 #ifdef debug
00167       G4cout<<"^^^G4QKmCS::GetCS:CalcNew P="<<pMom<<", f="<<fCS<<", lastI="<<lastI<<G4endl;
00168 #endif
00170       lastCS=CalculateCrossSection(fCS,0,j,-321,lastZ,lastN,pMom); //calculate & create
00171       //if(lastCS>0.)                   // It means that the AMBD was initialized
00172       //{
00173 
00174         lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
00175 #ifdef debug
00176         G4cout<<"G4QKmCrossSection::GetCrossSect: NewThresh="<<lastTH<<",P="<<pMom<<G4endl;
00177 #endif
00178         colN.push_back(tgN);
00179         colZ.push_back(tgZ);
00180         colP.push_back(pMom);
00181         colTH.push_back(lastTH);
00182         colCS.push_back(lastCS);
00183 #ifdef debug
00184         G4cout<<"G4QKmCS::GetCrosSec:recCS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl;
00185 #endif
00186       //} // M.K. Presence of H1 with high threshold breaks the syncronization
00187 #ifdef pdebug
00188       G4cout<<"G4QKmCS::GetCS:1st,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
00189 #endif
00190       return lastCS*millibarn;
00191     } // End of creation of the new set of parameters
00192     else
00193     {
00194 #ifdef debug
00195       G4cout<<"G4QKmCS::GetCS: Update lastI="<<lastI<<",j="<<j<<G4endl;
00196 #endif
00197       colP[lastI]=pMom;
00198       colCS[lastI]=lastCS;
00199     }
00200   } // End of parameters udate
00201   else if(pMom<=lastTH)
00202   {
00203 #ifdef debug
00204     G4cout<<"G4QKmCS::GetCS: Current P="<<pMom<<" < Threshold="<<lastTH<<", CS=0"<<G4endl;
00205 #endif
00206     return 0.;                         // Momentum is below the Threshold Value -> CS=0
00207   }
00208   else if(std::fabs(lastP-pMom)<tolerance*pMom)
00209   //else if(lastP==pMom)               // VI do not use tolerance
00210   {
00211 #ifdef debug
00212     G4cout<<"..G4QPCS::GetCS:OldNZ&P="<<lastP<<"="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
00213 #endif
00214     return lastCS*millibarn;           // Use theLastCS
00215   }
00216   else                                 // It is the last used -> use the current tables
00217   {
00218 #ifdef debug
00219     G4cout<<"-!-G4QPCS::GetCS:UseCur P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl;
00220 #endif
00221     lastCS=CalculateCrossSection(fCS,1,j,-321,lastZ,lastN,pMom); // Only read and UpdateDB
00222     lastP=pMom;
00223   }
00224 #ifdef debug
00225   G4cout<<"==>G4QKmCS::GetCroSec: P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
00226 #endif
00227   return lastCS*millibarn;
00228 }
00229 
00230 // The main member function giving the gamma-A cross section (E in GeV, CS in mb)
00231 G4double G4QKaonMinusNuclearCrossSection::CalculateCrossSection(G4bool, G4int F, G4int I,
00232                                         G4int, G4int targZ, G4int targN, G4double Momentum)
00233 {
00234   static const G4double THmin=27.;     // default minimum Momentum (MeV/c) Threshold
00235   static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
00236   static const G4double dP=10.;        // step for the LEN (Low ENergy) table MeV/c
00237   static const G4double dPG=dP*.001;   // step for the LEN (Low ENergy) table GeV/c
00238   static const G4int    nL=105;        // A#of LEN points in E (step 10 MeV/c)
00239   static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
00240   static const G4double Pmax=227000.;  // maxP for the HEN (High ENergy) part 227 GeV
00241   static const G4int    nH=224;        // A#of HEN points in lnE
00242   static const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
00243   static const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
00244   static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
00245   static const G4double milPG=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
00246 #ifdef debug
00247   G4cout<<"G4QKmNCS::CalCS:N="<<targN<<",Z="<<targZ<<",P="<<Momentum<<">"<<THmin<<G4endl;
00248 #endif
00249   G4double sigma=0.;
00250   if(F&&I) sigma=0.;                   // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
00251   //G4double A=targN+targZ;              // A of the target
00252 #ifdef debug
00253   G4cout<<"G4QKmNucCS::CalCS: A="<<A<<",F="<<F<<",I="<<I<<",nL="<<nL<<",nH="<<nH<<G4endl;
00254 #endif
00255   if(F<=0)                             // This isotope was not the last used isotop
00256   {
00257     if(F<0)                            // This isotope was found in DAMDB =-----=> RETRIEVE
00258     {
00259       G4int sync=LEN->size();
00260       if(sync<=I) G4cerr<<"*!*G4QPiMinusNuclCS::CalcCrosSect:Sync="<<sync<<"<="<<I<<G4endl;
00261       lastLEN=(*LEN)[I];                // Pointer to prepared LowEnergy cross sections
00262       lastHEN=(*HEN)[I];                // Pointer to prepared High Energy cross sections
00263     }
00264     else                               // This isotope wasn't calculated before => CREATE
00265     {
00266       lastLEN = new G4double[nL];      // Allocate memory for the new LEN cross sections
00267       lastHEN = new G4double[nH];      // Allocate memory for the new HEN cross sections
00268       // --- Instead of making a separate function ---
00269       G4double P=THmiG;                // Table threshold in GeV/c
00270       for(G4int n=0; n<nL; n++)
00271       {
00272         lastLEN[n] = CrossSectionLin(targZ, targN, P);
00273         P+=dPG;
00274       }
00275       G4double lP=milPG;
00276       for(G4int n=0; n<nH; n++)
00277       {
00278         lastHEN[n] = CrossSectionLog(targZ, targN, lP);
00279         lP+=dlP;
00280       }
00281 #ifdef debug
00282       G4cout<<"-*->G4QKmNucCS::CalcCS:Tab for Z="<<targZ<<",N="<<targN<<",I="<<I<<G4endl;
00283 #endif
00284       // --- End of possible separate function
00285       // *** The synchronization check ***
00286       G4int sync=LEN->size();
00287       if(sync!=I)
00288       {
00289         G4cerr<<"***G4QPiMinusNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
00290               <<", N="<<targN<<", F="<<F<<G4endl;
00291         //G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow");
00292       }
00293       LEN->push_back(lastLEN);         // remember the Low Energy Table
00294       HEN->push_back(lastHEN);         // remember the High Energy Table
00295     } // End of creation of the new set of parameters
00296   } // End of parameters udate
00297   // =------------------= NOW the Magic Formula =--------------------------=
00298 #ifdef debug
00299   G4cout<<"G4QKmNCS::CalcCS:lTH="<<lastTH<<",Pmi="<<Pmin<<",dP="<<dP<<",dlP="<<dlP<<G4endl;
00300 #endif
00301   if (Momentum<lastTH) return 0.;      // It must be already checked in the interface class
00302   else if (Momentum<Pmin)              // High Energy region
00303   {
00304 #ifdef debug
00305     G4cout<<"G4QKmNCS::CalcCS:bLEN nL="<<nL<<",TH="<<THmin<<",dP="<<dP<<G4endl;
00306 #endif
00307     sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
00308 #ifdef debugn
00309     if(sigma<0.)
00310       G4cout<<"G4QKmNuCS::CalcCS: E="<<Momentum<<",T="<<THmin<<",dP="<<dP<<G4endl;
00311 #endif
00312   }
00313   else if (Momentum<Pmax)              // High Energy region
00314   {
00315     G4double lP=std::log(Momentum);
00316 #ifdef debug
00317     G4cout<<"G4QKmNucCS::CalcCS: before HEN nH="<<nH<<",iE="<<milP<<",dlP="<<dlP<<G4endl;
00318 #endif
00319     sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
00320   }
00321   else                                 // UHE region (calculation, not frequent)
00322   {
00323     G4double P=0.001*Momentum;         // Approximation formula is for P in GeV/c
00324     sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
00325   }
00326 #ifdef debug
00327   G4cout<<"G4QKaonMinusNuclearCrossSection::CalcCS: CS="<<sigma<<G4endl;
00328 #endif
00329   if(sigma<0.) return 0.;
00330   return sigma;
00331 }
00332 
00333 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) (P in GeV/c)
00334 G4double G4QKaonMinusNuclearCrossSection::CrossSectionLin(G4int tZ, G4int tN, G4double P)
00335 {
00336   G4double lP=std::log(P);
00337   return CrossSectionFormula(tZ, tN, P, lP);
00338 }
00339 
00340 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
00341 G4double G4QKaonMinusNuclearCrossSection::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
00342 {
00343   G4double P=std::exp(lP);
00344   return CrossSectionFormula(tZ, tN, P, lP);
00345 }
00346 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
00347 G4double G4QKaonMinusNuclearCrossSection::CrossSectionFormula(G4int tZ, G4int tN,
00348                                                               G4double P, G4double lP)
00349 {
00350   G4double sigma=0.;
00351   if(tZ==1 && !tN)                        // PiMin-Proton interaction from G4QuasiElRatios
00352   {
00353     G4double ld=lP-3.5;
00354     G4double ld2=ld*ld;
00355     G4double p2=P*P;
00356     G4double p4=p2*p2;
00357     G4double sp=std::sqrt(P);
00358     G4double psp=P*sp;
00359     G4double lm=P-.39;
00360     G4double md=lm*lm+.000156;
00361     G4double lh=P-1.;
00362     G4double hd=lh*lh+.0156;
00363     G4double El=(.0557*ld2+2.23)/(1.-.7/sp+.075/p4);
00364     G4double To=(.3*ld2+19.5)/(1.-.21/sp+.52/p4);
00365     sigma=8.8/psp+(To-El)+.002/md+.15/hd;
00366   }
00367   else if(tZ==1 && tN==1)                  // kmp_tot
00368   {
00369     G4double p2=P*P;
00370     G4double dX=lP-3.7;
00371     G4double dR=P-.94;
00372     G4double sp=std::sqrt(P);
00373     sigma=(.6*dX*dX+36.)/(1.-.11/sp+.52/p2/p2)+.7/(dR*dR+.0256)+18./P/sp;
00374   }
00375   else if(tZ<97 && tN<152)                // General solution
00376   {
00377     G4double d=lP-4.2;
00378     G4double sp=std::sqrt(P);
00379     G4double p2=P*P;
00380     G4double a=tN+tZ;                       // A of the target
00381     G4double sa=std::sqrt(a);
00382     G4double al=std::log(a);
00383     G4double a2=a*a;
00384     G4double c=52.*std::exp(al*0.6)*(1.+97./a2)/(1.+9.8/a)/(1.+47./a2);
00385     G4double g_value=-.2-.003*a;
00386     G4double h=.5+.07*a;
00387     G4double v=P-1.;
00388     G4double f=.6*a*sa/(1.+.00002*a2);
00389     G4double u=.125+.127*al;
00390     sigma=(c+d*d)/(1.+g_value/sp+h/p2/p2)+f/(v*v+u*u)+20.*sa/P/sp;
00391 #ifdef pdebug
00392     G4cout<<"G4QKMinNucCS::CSForm: A="<<a<<",P="<<P<<",CS="<<sigma<<",c="<<c<<",g="<<g_value
00393           <<",d="<<d<<",r="<<r<<",e="<<e<<",h="<<h<<G4endl;
00394 #endif
00395   }
00396   else
00397   {
00398     G4cerr<<"-Warning-G4QKMinusNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
00399     sigma=0.;
00400   }
00401   if(sigma<0.) return 0.;
00402   return sigma;  
00403 }

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