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27 // The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
28 //
29 //
30 // G4 Physics class: G4QKaonPlusNuclearCrossSection for gamma+A cross sections
31 // Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03
32 // The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04
33 //
34 // --------------------------------------------------------------------------------
35 // Short description: Cross-sections extracted from the CHIPS package for
36 // kaon(minus)-nuclear interactions. Author: M. Kossov
37 // -------------------------------------------------------------------------------------
38 //
39
40 #include "G4ChipsKaonPlusInelasticXS.hh"
41 #include "G4SystemOfUnits.hh"
42 #include "G4DynamicParticle.hh"
43 #include "G4ParticleDefinition.hh"
44 #include "G4KaonPlus.hh"
45 #include "G4Proton.hh"
46 #include "G4PionPlus.hh"
47 #include "G4AutoLock.hh"
48
49 // factory
50 #include "G4CrossSectionFactory.hh"
51 //
52 G4_DECLARE_XS_FACTORY(G4ChipsKaonPlusInelasticXS);
53
54 namespace {
55 const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
56 const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
57 const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
58 const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
59 const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
60 const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
61 const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
62 const G4int nH=224; // A#of HEN points in lnE
63 const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
64 const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
65 const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
66 const G4double milPG=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
67 const G4double third=1./3.;
68 G4Mutex initM = G4MUTEX_INITIALIZER;
69 G4double prM;// = G4Proton::Proton()->GetPDGMass(); // Proton mass in MeV
70 G4double piM;// = G4PionPlus::PionPlus()->GetPDGMass()+.1; // Pion mass in MeV+Safety (WP)??
71 G4double pM;// = G4KaonPlus::KaonPlus()->GetPDGMass(); // Projectile mass in MeV
72 G4double tpM;//= pM+pM; // Doubled projectile mass (MeV)
73 }
74
75 G4ChipsKaonPlusInelasticXS::G4ChipsKaonPlusInelasticXS():G4VCrossSectionDataSet(Default_Name())
76 {
77 G4AutoLock l(&initM);
78 prM = G4Proton::Proton()->GetPDGMass(); // Proton mass in MeV
79 piM = G4PionPlus::PionPlus()->GetPDGMass()+.1; // Pion mass in MeV+Safety (WP)??
80 pM = G4KaonPlus::KaonPlus()->GetPDGMass(); // Projectile mass in MeV
81 tpM = pM+pM; // Doubled projectile mass (MeV)
82 l.unlock();
83 // Initialization of the
84 lastLEN=0; // Pointer to the lastArray of LowEn CS
85 lastHEN=0; // Pointer to the lastArray of HighEn CS
86 lastN=0; // The last N of calculated nucleus
87 lastZ=0; // The last Z of calculated nucleus
88 lastP=0.; // Last used in cross section Momentum
89 lastTH=0.; // Last threshold momentum
90 lastCS=0.; // Last value of the Cross Section
91 lastI=0; // The last position in the DAMDB
92 LEN = new std::vector<G4double*>;
93 HEN = new std::vector<G4double*>;
94 }
95
96 G4ChipsKaonPlusInelasticXS::~G4ChipsKaonPlusInelasticXS()
97 {
98 std::size_t lens=LEN->size();
99 for(std::size_t i=0; i<lens; ++i) delete[] (*LEN)[i];
100 delete LEN;
101
102 std::size_t hens=HEN->size();
103 for(std::size_t i=0; i<hens; ++i) delete[] (*HEN)[i];
104 delete HEN;
105 }
106
107 void
108 G4ChipsKaonPlusInelasticXS::CrossSectionDescription(std::ostream& outFile) const
109 {
110 outFile << "G4ChipsKaonPlusInelasticXS provides the inelastic cross\n"
111 << "section for K+ nucleus scattering as a function of incident\n"
112 << "momentum. The cross section is calculated using M. Kossov's\n"
113 << "CHIPS parameterization of cross section data.\n";
114 }
115
116 G4bool G4ChipsKaonPlusInelasticXS::IsIsoApplicable(const G4DynamicParticle*, G4int, G4int,
117 const G4Element*,
118 const G4Material*)
119 {
120 return true;
121 }
122
123
124 // The main member function giving the collision cross section (P is in IU, CS is in mb)
125 // Make pMom in independent units ! (Now it is MeV)
126 G4double G4ChipsKaonPlusInelasticXS::GetIsoCrossSection(const G4DynamicParticle* Pt, G4int tgZ, G4int A,
127 const G4Isotope*,
128 const G4Element*,
129 const G4Material*)
130 {
131 G4double pMom=Pt->GetTotalMomentum();
132 G4int tgN = A - tgZ;
133
134 return GetChipsCrossSection(pMom, tgZ, tgN, 321);
135 }
136
137 G4double G4ChipsKaonPlusInelasticXS::GetChipsCrossSection(G4double pMom, G4int tgZ, G4int tgN, G4int )
138 {
139
140 G4bool in=false; // By default the isotope must be found in the AMDB
141 if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
142 {
143 in = false; // By default the isotope haven't be found in AMDB
144 lastP = 0.; // New momentum history (nothing to compare with)
145 lastN = tgN; // The last N of the calculated nucleus
146 lastZ = tgZ; // The last Z of the calculated nucleus
147 lastI = (G4int)colN.size(); // Size of the Associative Memory DB in the heap
148 j = 0; // A#0f records found in DB for this projectile
149
150 if(lastI) for(G4int i=0; i<lastI; ++i) // AMDB exists, try to find the (Z,N) isotope
151 {
152 if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
153 {
154 lastI=i; // Remember the index for future fast/last use
155 lastTH =colTH[i]; // The last THreshold (A-dependent)
156
157 if(pMom<=lastTH)
158 {
159 return 0.; // Energy is below the Threshold value
160 }
161 lastP =colP [i]; // Last Momentum (A-dependent)
162 lastCS =colCS[i]; // Last CrossSect (A-dependent)
163 in = true; // This is the case when the isotop is found in DB
164 // Momentum pMom is in IU ! @@ Units
165 lastCS=CalculateCrossSection(-1,j,321,lastZ,lastN,pMom); // read & update
166
167 if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
168 {
169 lastCS=0.;
170 lastTH=pMom;
171 }
172 break; // Go out of the LOOP
173 }
174 j++; // Increment a#0f records found in DB
175 }
176 if(!in) // This isotope has not been calculated previously
177 {
178 //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
179 lastCS=CalculateCrossSection(0,j,321,lastZ,lastN,pMom); //calculate & create
180
181 //if(lastCS>0.) // It means that the AMBD was initialized
182 //{
183
184 lastTH = 0; //ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
185 colN.push_back(tgN);
186 colZ.push_back(tgZ);
187 colP.push_back(pMom);
188 colTH.push_back(lastTH);
189 colCS.push_back(lastCS);
190 //} // M.K. Presence of H1 with high threshold breaks the syncronization
191 return lastCS*millibarn;
192 } // End of creation of the new set of parameters
193 else
194 {
195 colP[lastI]=pMom;
196 colCS[lastI]=lastCS;
197 }
198 } // End of parameters udate
199 else if(pMom<=lastTH)
200 {
201 return 0.; // Momentum is below the Threshold Value -> CS=0
202 }
203 else // It is the last used -> use the current tables
204 {
205 lastCS=CalculateCrossSection(1,j,321,lastZ,lastN,pMom); // Only read and UpdateDB
206 lastP=pMom;
207 }
208 return lastCS*millibarn;
209 }
210
211 // The main member function giving the gamma-A cross section (E in GeV, CS in mb)
212 G4double G4ChipsKaonPlusInelasticXS::CalculateCrossSection(G4int F, G4int I,
213 G4int, G4int targZ, G4int targN, G4double Momentum)
214 {
215 G4double A=targN+targZ; // A of the target
216
217 if(F<=0) // This isotope was not the last used isotop
218 {
219 if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
220 {
221 G4int sync=(G4int)LEN->size();
222 if(sync<=I) G4cerr<<"*!*G4ChipsKPlusNuclCS::CalcCrosSect:Sync="<<sync<<"<="<<I<<G4endl;
223 lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
224 lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
225 }
226 else // This isotope wasn't calculated before => CREATE
227 {
228 lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
229 lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
230 // --- Instead of making a separate function ---
231 G4double P=THmiG; // Table threshold in GeV/c
232 for(G4int k=0; k<nL; k++)
233 {
234 lastLEN[k] = CrossSectionLin(targZ, targN, P);
235 P+=dPG;
236 }
237 G4double lP=milPG;
238 for(G4int n=0; n<nH; n++)
239 {
240 lastHEN[n] = CrossSectionLog(targZ, targN, lP);
241 lP+=dlP;
242 }
243 // --- End of possible separate function
244 // *** The synchronization check ***
245 G4int sync=(G4int)LEN->size();
246 if(sync!=I)
247 {
248 G4cerr<<"***G4ChipsKPlusNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
249 <<", N="<<targN<<", F="<<F<<G4endl;
250 //G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow");
251 }
252 LEN->push_back(lastLEN); // remember the Low Energy Table
253 HEN->push_back(lastHEN); // remember the High Energy Table
254 } // End of creation of the new set of parameters
255 } // End of parameters udate
256 // =--------------------------= NOW the Magic Formula =---------------------------------=
257
258 G4double sigma;
259 if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
260 else if (Momentum<Pmin) // Low Energy region
261 {
262 if(A<=1. && Momentum < 600.) sigma=0.; // Approximation tot/el uncertainty
263 else sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
264 }
265 else if (Momentum<Pmax) // High Energy region
266 {
267 G4double lP=std::log(Momentum);
268 sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
269 }
270 else // UHE region (calculation, not frequent)
271 {
272 G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
273 sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
274 }
275 if(sigma<0.) return 0.;
276 return sigma;
277 }
278
279 // Electromagnetic momentum-threshold (in MeV/c)
280 G4double G4ChipsKaonPlusInelasticXS::ThresholdMomentum(G4int tZ, G4int tN)
281 {
282 G4double tA=tZ+tN;
283 if(tZ<.99 || tN<0.) return 0.;
284 G4double tM=931.5*tA;
285 G4double dE=piM; // At least one Pi0 must be created
286 if(tZ==1 && tN==0) tM=prM; // A threshold on the free proton
287 else dE=tZ/(1.+std::pow(tA,third)); // Safety for diffused edge of the nucleus (QE)
288 //G4double dE=1.263*tZ/(1.+std::pow(tA,third));
289 G4double T=dE+dE*(dE/2+pM)/tM;
290 return std::sqrt(T*(tpM+T));
291 }
292
293 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) (P in GeV/c)
294 G4double G4ChipsKaonPlusInelasticXS::CrossSectionLin(G4int tZ, G4int tN, G4double P)
295 {
296 G4double lP=std::log(P);
297 return CrossSectionFormula(tZ, tN, P, lP);
298 }
299
300 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
301 G4double G4ChipsKaonPlusInelasticXS::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
302 {
303 G4double P=std::exp(lP);
304 return CrossSectionFormula(tZ, tN, P, lP);
305 }
306 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
307 G4double G4ChipsKaonPlusInelasticXS::CrossSectionFormula(G4int tZ, G4int tN,
308 G4double P, G4double lP)
309 {
310 G4double sigma=0.;
311 if(tZ==1 && !tN) // KPlus-Proton interaction from G4QuasiElRatios
312 {
313 G4double ld=lP-3.5;
314 G4double ld2=ld*ld;
315 G4double sp=std::sqrt(P);
316 G4double p2=P*P;
317 G4double p4=p2*p2;
318 G4double lm=P-1.;
319 G4double md=lm*lm+.372;
320 G4double El=(.0557*ld2+2.23)/(1.-.7/sp+.1/p4);
321 G4double To=(.3*ld2+19.5)/(1.+.46/sp+1.6/p4);
322 sigma=(To-El)+.6/md;
323 }
324 else if(tZ<97 && tN<152) // General solution
325 {
326 G4double p2=P*P;
327 G4double p4=p2*p2;
328 G4double a=tN+tZ; // A of the target
329 G4double al=std::log(a);
330 G4double sa=std::sqrt(a);
331 G4double asa=a*sa;
332 G4double a2=a*a;
333 G4double a3=a2*a;
334 G4double a4=a2*a2;
335 G4double a8=a4*a4;
336 G4double a12=a8*a4;
337 G4double f=.6; // Default values for deutrons
338 G4double r=.5;
339 G4double gg=3.7;
340 G4double c=36.;
341 G4double ss=3.5;
342 G4double t=3.;
343 G4double u=.44;
344 G4double v=5.E-9;
345 if(tZ>1 && tN>1) // More than deuteron
346 {
347 f=1.;
348 r=1./(1.+.007*a2);
349 gg=4.2;
350 c=52.*std::exp(al*.6)*(1.+95./a2)/(1.+9./a)/(1.+46./a2);
351 ss=(40.+.14*a)/(1.+12./a);
352 G4double y=std::exp(al*1.7);
353 t=.185*y/(1.+.00012*y);
354 u=(1.+80./asa)/(1.+200./asa);
355 v=(1.+3.E-6*a4*(1.+6.E-7*a3+4.E10/a12))/a3/20000.;
356 }
357 G4double d=lP-gg;
358 G4double w=P-1.;
359 G4double rD=ss/(w*w+.36);
360 G4double h=P-.44;
361 G4double rR=t/(h*h+u*u);
362 sigma=(f*d*d+c)/(1.+r/std::sqrt(P)+1./p4)+(rD+rR)/(1+v/p4/p4);
363 }
364 else
365 {
366 G4cerr<<"-Warning-G4ChipsKaonPlusNuclearCroSect::CSForm:Bad A, Z="<<tZ<<", N="<<tN<<G4endl;
367 sigma=0.;
368 }
369 if(sigma<0.) return 0.;
370 return sigma;
371 }
372
373 G4double G4ChipsKaonPlusInelasticXS::EquLinearFit(G4double X, G4int N, G4double X0, G4double DX, G4double* Y)
374 {
375 if(DX<=0. || N<2)
376 {
377 G4cerr<<"***G4ChipsKaonPlusInelasticXS::EquLinearFit: DX="<<DX<<", N="<<N<<G4endl;
378 return Y[0];
379 }
380
381 G4int N2=N-2;
382 G4double d=(X-X0)/DX;
383 G4int jj=static_cast<int>(d);
384 if (jj<0) jj=0;
385 else if(jj>N2) jj=N2;
386 d-=jj; // excess
387 G4double yi=Y[jj];
388 G4double sigma=yi+(Y[jj+1]-yi)*d;
389
390 return sigma;
391 }
392