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27 // The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
28 //
29 // ****************************************************************************************
30 // Short description: Cross-sections extracted (by W.Pokorski) from the CHIPS package for
31 // Hyperon-nuclear interactions. Original author: M. Kossov
32 // -------------------------------------------------------------------------------------
33 //
34
35 #include "G4ChipsHyperonInelasticXS.hh"
36 #include "G4SystemOfUnits.hh"
37 #include "G4DynamicParticle.hh"
38 #include "G4ParticleDefinition.hh"
39 #include "G4Lambda.hh"
40 #include "G4SigmaPlus.hh"
41 #include "G4SigmaMinus.hh"
42 #include "G4SigmaZero.hh"
43 #include "G4XiMinus.hh"
44 #include "G4XiZero.hh"
45 #include "G4OmegaMinus.hh"
46 #include "G4Log.hh"
47 #include "G4Exp.hh"
48
49 // factory
50 #include "G4CrossSectionFactory.hh"
51 //
52 G4_DECLARE_XS_FACTORY(G4ChipsHyperonInelasticXS);
53
54 G4ChipsHyperonInelasticXS::G4ChipsHyperonInelasticXS():G4VCrossSectionDataSet(Default_Name())
55 {
56 // Initialization of the
57 lastLEN=0; // Pointer to the lastArray of LowEn CS
58 lastHEN=0; // Pointer to the lastArray of HighEn CS
59 lastN=0; // The last N of calculated nucleus
60 lastZ=0; // The last Z of calculated nucleus
61 lastP=0.; // Last used in cross section Momentum
62 lastTH=0.; // Last threshold momentum
63 lastCS=0.; // Last value of the Cross Section
64 lastI=0; // The last position in the DAMDB
65 LEN = new std::vector<G4double*>;
66 HEN = new std::vector<G4double*>;
67 }
68
69 G4ChipsHyperonInelasticXS::~G4ChipsHyperonInelasticXS()
70 {
71 std::size_t lens=LEN->size();
72 for(std::size_t i=0; i<lens; ++i) delete[] (*LEN)[i];
73 delete LEN;
74
75 std::size_t hens=HEN->size();
76 for(std::size_t i=0; i<hens; ++i) delete[] (*HEN)[i];
77 delete HEN;
78 }
79
80 void G4ChipsHyperonInelasticXS::CrossSectionDescription(std::ostream& outFile) const
81 {
82 outFile << "G4ChipsHyperonInelasticXS provides the inelastic cross\n"
83 << "section for hyperon nucleus scattering as a function of incident\n"
84 << "momentum. The cross section is calculated using M. Kossov's\n"
85 << "CHIPS parameterization of cross section data.\n";
86 }
87
88 G4bool G4ChipsHyperonInelasticXS::IsIsoApplicable(const G4DynamicParticle*, G4int, G4int,
89 const G4Element*,
90 const G4Material*)
91 {
92 return true;
93 }
94
95 // The main member function giving the collision cross section (P is in IU, CS is in mb)
96 // Make pMom in independent units ! (Now it is MeV)
97 G4double G4ChipsHyperonInelasticXS::GetIsoCrossSection(const G4DynamicParticle* Pt, G4int tgZ, G4int A,
98 const G4Isotope*,
99 const G4Element*,
100 const G4Material*)
101 {
102 G4double pMom=Pt->GetTotalMomentum();
103 G4int tgN = A - tgZ;
104 G4int pdg = Pt->GetDefinition()->GetPDGEncoding();
105
106 return GetChipsCrossSection(pMom, tgZ, tgN, pdg);
107 }
108
109 G4double G4ChipsHyperonInelasticXS::GetChipsCrossSection(G4double pMom, G4int tgZ, G4int tgN, G4int PDG)
110 {
111
112 G4bool in=false; // By default the isotope must be found in the AMDB
113 if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
114 {
115 in = false; // By default the isotope haven't be found in AMDB
116 lastP = 0.; // New momentum history (nothing to compare with)
117 lastN = tgN; // The last N of the calculated nucleus
118 lastZ = tgZ; // The last Z of the calculated nucleus
119 lastI = (G4int)colN.size(); // Size of the Associative Memory DB in the heap
120 j = 0; // A#0f records found in DB for this projectile
121
122 if(lastI) for(G4int i=0; i<lastI; ++i) // AMDB exists, try to find the (Z,N) isotope
123 {
124 if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
125 {
126 lastI=i; // Remember the index for future fast/last use
127 lastTH =colTH[i]; // The last THreshold (A-dependent)
128
129 if(pMom<=lastTH)
130 {
131 return 0.; // Energy is below the Threshold value
132 }
133 lastP =colP [i]; // Last Momentum (A-dependent)
134 lastCS =colCS[i]; // Last CrossSect (A-dependent)
135 in = true; // This is the case when the isotop is found in DB
136 // Momentum pMom is in IU ! @@ Units
137 lastCS=CalculateCrossSection(-1,j,PDG,lastZ,lastN,pMom); // read & update
138
139 if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
140 {
141 lastCS=0.;
142 lastTH=pMom;
143 }
144 break; // Go out of the LOOP
145 }
146 j++; // Increment a#0f records found in DB
147 }
148 if(!in) // This isotope has not been calculated previously
149 {
150 //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
151 lastCS=CalculateCrossSection(0,j,PDG,lastZ,lastN,pMom); //calculate & create
152
153 lastTH = 0; //ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
154 colN.push_back(tgN);
155 colZ.push_back(tgZ);
156 colP.push_back(pMom);
157 colTH.push_back(lastTH);
158 colCS.push_back(lastCS);
159 //} // M.K. Presence of H1 with high threshold breaks the syncronization
160 return lastCS*millibarn;
161 } // End of creation of the new set of parameters
162 else
163 {
164 colP[lastI]=pMom;
165 colCS[lastI]=lastCS;
166 }
167 } // End of parameters udate
168 else if(pMom<=lastTH)
169 {
170 return 0.; // Momentum is below the Threshold Value -> CS=0
171 }
172 else // It is the last used -> use the current tables
173 {
174 lastCS=CalculateCrossSection(1,j,PDG,lastZ,lastN,pMom); // Only read and UpdateDB
175 lastP=pMom;
176 }
177 return lastCS*millibarn;
178 }
179
180 // The main member function giving the gamma-A cross section (E in GeV, CS in mb)
181 G4double G4ChipsHyperonInelasticXS::CalculateCrossSection(G4int F, G4int I,
182 G4int, G4int targZ, G4int targN, G4double Momentum)
183 {
184 static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
185 static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
186 static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
187 static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
188 static const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
189 static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
190 static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
191 static const G4int nH=224; // A#of HEN points in lnE
192 static const G4double milP=G4Log(Pmin);// Low logarithm energy for the HEN part
193 static const G4double malP=G4Log(Pmax);// High logarithm energy (each 2.75 percent)
194 static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
195 static const G4double milPG=G4Log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
196
197 if(F<=0) // This isotope was not the last used isotop
198 {
199 if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
200 {
201 G4int sync=(G4int)LEN->size();
202 if(sync<=I) G4cerr<<"*!*G4QPiMinusNuclCS::CalcCrosSect:Sync="<<sync<<"<="<<I<<G4endl;
203 lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
204 lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
205 }
206 else // This isotope wasn't calculated before => CREATE
207 {
208 lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
209 lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
210 // --- Instead of making a separate function ---
211 G4double P=THmiG; // Table threshold in GeV/c
212 for(G4int k=0; k<nL; k++)
213 {
214 lastLEN[k] = CrossSectionLin(targZ, targN, P);
215 P+=dPG;
216 }
217 G4double lP=milPG;
218 for(G4int n=0; n<nH; n++)
219 {
220 lastHEN[n] = CrossSectionLog(targZ, targN, lP);
221 lP+=dlP;
222 }
223 // --- End of possible separate function
224 // *** The synchronization check ***
225 G4int sync=(G4int)LEN->size();
226 if(sync!=I)
227 {
228 G4cerr<<"***G4QHyperNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
229 <<", N="<<targN<<", F="<<F<<G4endl;
230 //G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow");
231 }
232 LEN->push_back(lastLEN); // remember the Low Energy Table
233 HEN->push_back(lastHEN); // remember the High Energy Table
234 } // End of creation of the new set of parameters
235 } // End of parameters udate
236 // =--------------------------= NOW the Magic Formula =------------------------------=
237 G4double sigma;
238 if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
239 else if (Momentum<Pmin) // High Energy region
240 {
241 sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
242 }
243 else if (Momentum<Pmax) // High Energy region
244 {
245 G4double lP=G4Log(Momentum);
246 sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
247 }
248 else // UHE region (calculation, not frequent)
249 {
250 G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
251 sigma=CrossSectionFormula(targZ, targN, P, G4Log(P));
252 }
253 if (sigma<0.) return 0.;
254 return sigma;
255 }
256
257 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) (P in GeV/c)
258 G4double G4ChipsHyperonInelasticXS::CrossSectionLin(G4int tZ, G4int tN, G4double P)
259 {
260 G4double lP=G4Log(P);
261 return CrossSectionFormula(tZ, tN, P, lP);
262 }
263
264 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
265 G4double G4ChipsHyperonInelasticXS::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
266 {
267 G4double P=G4Exp(lP);
268 return CrossSectionFormula(tZ, tN, P, lP);
269 }
270 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
271 G4double G4ChipsHyperonInelasticXS::CrossSectionFormula(G4int tZ, G4int tN,
272 G4double P, G4double lP)
273 {
274 G4double sigma=0.;
275
276 //AR-24Apr2018 Switch to allow transuranic elements
277 const G4bool isHeavyElementAllowed = true;
278
279 if(tZ==1 && !tN) // Hyperon-P interaction from G4QuasiElastRatios
280 {
281 G4double ld=lP-3.5;
282 G4double ld2=ld*ld;
283 G4double p2=P*P;
284 G4double p4=p2*p2;
285 G4double sp=std::sqrt(P);
286 G4double El=(.0557*ld2+6.72+99./p2)/(1.+2./sp+2./p4);
287 G4double To=(.3*ld2+38.2+900./sp)/(1.+27./sp+3./p4);
288 sigma=To-El;
289 }
290 else if((tZ<97 && tN<152) || isHeavyElementAllowed) // General solution
291 {
292 G4double d=lP-4.2;
293 G4double p2=P*P;
294 G4double p4=p2*p2;
295 G4double sp=std::sqrt(P);
296 G4double ssp=std::sqrt(sp);
297 G4double a=tN+tZ; // A of the target
298 G4double al=G4Log(a);
299 G4double sa=std::sqrt(a);
300 G4double a2=a*a;
301 G4double a2s=a2*sa;
302 G4double a4=a2*a2;
303 G4double a8=a4*a4;
304 G4double c=(170.+3600./a2s)/(1.+65./a2s);
305 G4double gg=42.*(G4Exp(al*0.8)+4.E-8*a4)/(1.+28./a)/(1.+5.E-5*a2);
306 G4double e=390.; // Defolt values for deutrons
307 G4double r=0.27;
308 G4double h=2.E-7;
309 G4double t=0.3;
310 if(tZ>1 || tN>1)
311 {
312 e=380.+18.*a2/(1.+a2/60.)/(1.+2.E-19*a8);
313 r=0.15;
314 h=1.E-8*a2/(1.+a2/17.)/(1.+3.E-20*a8);
315 t=(.2+.00056*a2)/(1.+a2*.0006);
316 }
317 sigma=(c+d*d)/(1.+t/ssp+r/p4)+(gg+e*G4Exp(-6.*P))/(1.+h/p4/p4);
318 #ifdef pdebug
319 G4cout<<"G4QHyperonNucCS::CSForm: A="<<a<<",P="<<P<<",CS="<<sigma<<",c="<<c<<",g="<<gg
320 <<",d="<<d<<",r="<<r<<",e="<<e<<",h="<<h<<G4endl;
321 #endif
322 }
323 else
324 {
325 G4cerr<<"-Warning-G4QHyperonNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
326 sigma=0.;
327 }
328 if(sigma<0.) return 0.;
329 return sigma;
330 }
331
332 G4double G4ChipsHyperonInelasticXS::EquLinearFit(G4double X, G4int N, G4double X0, G4double DX, G4double* Y)
333 {
334 if(DX<=0. || N<2)
335 {
336 G4cerr<<"***G4ChipsHyperonInelasticXS::EquLinearFit: DX="<<DX<<", N="<<N<<G4endl;
337 return Y[0];
338 }
339
340 G4int N2=N-2;
341 G4double d=(X-X0)/DX;
342 G4int jj=static_cast<int>(d);
343 if (jj<0) jj=0;
344 else if(jj>N2) jj=N2;
345 d-=jj; // excess
346 G4double yi=Y[jj];
347 G4double sigma=yi+(Y[jj+1]-yi)*d;
348
349 return sigma;
350 }
351