| Geant4 Cross Reference |
1 //
2 // ********************************************************************
3 // * License and Disclaimer *
4 // * *
5 // * The Geant4 software is copyright of the Copyright Holders of *
6 // * the Geant4 Collaboration. It is provided under the terms and *
7 // * conditions of the Geant4 Software License, included in the file *
8 // * LICENSE and available at http://cern.ch/geant4/license . These *
9 // * include a list of copyright holders. *
10 // * *
11 // * Neither the authors of this software system, nor their employing *
12 // * institutes,nor the agencies providing financial support for this *
13 // * work make any representation or warranty, express or implied, *
14 // * regarding this software system or assume any liability for its *
15 // * use. Please see the license in the file LICENSE and URL above *
16 // * for the full disclaimer and the limitation of liability. *
17 // * *
18 // * This code implementation is the result of the scientific and *
19 // * technical work of the GEANT4 collaboration. *
20 // * By using, copying, modifying or distributing the software (or *
21 // * any work based on the software) you agree to acknowledge its *
22 // * use in resulting scientific publications, and indicate your *
23 // * acceptance of all terms of the Geant4 Software license. *
24 // ********************************************************************
25 //
26 //
27 // The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
28 //
29 //
30 // G4 Physics class: G4ChipsProtonInelasticXS 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 // ****************************************************************************************
36 // Short description: Cross-sections extracted (by W.Pokorski) from the CHIPS package for
37 // proton-nuclear interactions. Original author: M. Kossov
38 // -------------------------------------------------------------------------------------
39 //
40
41
42 #include "G4ChipsProtonInelasticXS.hh"
43 #include "G4SystemOfUnits.hh"
44 #include "G4DynamicParticle.hh"
45 #include "G4ParticleDefinition.hh"
46 #include "G4Proton.hh"
47 #include "G4Log.hh"
48 #include "G4Exp.hh"
49 #include "G4Pow.hh"
50
51
52 // factory
53 #include "G4CrossSectionFactory.hh"
54 //
55 G4_DECLARE_XS_FACTORY(G4ChipsProtonInelasticXS);
56
57 G4ChipsProtonInelasticXS::G4ChipsProtonInelasticXS():G4VCrossSectionDataSet(Default_Name())
58 {
59 // Initialization of the
60 lastLEN=0; // Pointer to the lastArray of LowEn CS
61 lastHEN=0; // Pointer to the lastArray of HighEn CS
62 lastN=0; // The last N of calculated nucleus
63 lastZ=0; // The last Z of calculated nucleus
64 lastP=0.; // Last used in cross section Momentum
65 lastTH=0.; // Last threshold momentum
66 lastCS=0.; // Last value of the Cross Section
67 lastI=0; // The last position in the DAMDB
68
69 LEN = new std::vector<G4double*>;
70 HEN = new std::vector<G4double*>;
71 }
72
73 G4ChipsProtonInelasticXS::~G4ChipsProtonInelasticXS()
74 {
75 std::size_t lens=LEN->size();
76 for(std::size_t i=0; i<lens; ++i) delete[] (*LEN)[i];
77 delete LEN;
78 std::size_t hens=HEN->size();
79 for(std::size_t i=0; i<hens; ++i) delete[] (*HEN)[i];
80 delete HEN;
81 }
82
83 void
84 G4ChipsProtonInelasticXS::CrossSectionDescription(std::ostream& outFile) const
85 {
86 outFile << "G4ChipsProtonInelasticXS provides the inelastic cross\n"
87 << "section for proton nucleus scattering as a function of incident\n"
88 << "momentum. The cross section is calculated using M. Kossov's\n"
89 << "CHIPS parameterization of cross section data.\n";
90 }
91
92 G4bool G4ChipsProtonInelasticXS::IsIsoApplicable(const G4DynamicParticle*, G4int, G4int,
93 const G4Element*,
94 const G4Material*)
95 {
96 return true;
97 }
98
99
100 // The main member function giving the collision cross section (P is in IU, CS is in mb)
101 // Make pMom in independent units ! (Now it is MeV)
102 G4double G4ChipsProtonInelasticXS::GetIsoCrossSection(const G4DynamicParticle* Pt, G4int tgZ, G4int A,
103 const G4Isotope*,
104 const G4Element*,
105 const G4Material*)
106 {
107 G4double pMom=Pt->GetTotalMomentum();
108 G4int tgN = A - tgZ;
109
110 return GetChipsCrossSection(pMom, tgZ, tgN, 2212);
111 }
112
113 G4double G4ChipsProtonInelasticXS::GetChipsCrossSection(G4double pMom, G4int tgZ, G4int tgN, G4int)
114 {
115
116 G4bool in=false; // By default the isotope must be found in the AMDB
117 if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
118 {
119 in = false; // By default the isotope haven't been found in AMDB
120 lastP = 0.; // New momentum history (nothing to compare with)
121 lastN = tgN; // The last N of the calculated nucleus
122 lastZ = tgZ; // The last Z of the calculated nucleus
123 lastI = (G4int)colN.size(); // Size of the Associative Memory DB in the heap
124 j = 0; // A#0f records found in DB for this projectile
125 if(lastI) for(G4int i=0; i<lastI; ++i) // AMDB exists, try to find the (Z,N) isotope
126 {
127 if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
128 {
129 lastI=i; // Remember the index for future fast/last use
130 lastTH =colTH[i]; // The last THreshold (A-dependent)
131 if(pMom<=lastTH)
132 {
133 return 0.; // Energy is below the Threshold value
134 }
135 lastP =colP [i]; // Last Momentum (A-dependent)
136 lastCS =colCS[i]; // Last CrossSect (A-dependent)
137 in = true; // This is the case when the isotop is found in DB
138 // Momentum pMom is in IU ! @@ Units
139 lastCS=CalculateCrossSection(-1,j,2212,lastZ,lastN,pMom); // read & update
140 if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
141 {
142 lastCS=0.;
143 lastTH=pMom;
144 }
145 break; // Go out of the LOOP
146 }
147 j++; // Increment a#0f records found in DB
148 }
149 if(!in) // This isotope has not been calculated previously
150 {
151 //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
152 lastCS=CalculateCrossSection(0,j,2212,lastZ,lastN,pMom); //calculate & create
153 //if(lastCS>0.) // It means that the AMBD was initialized
154 //{
155
156 lastTH = 0; //ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
157 colN.push_back(tgN);
158 colZ.push_back(tgZ);
159 colP.push_back(pMom);
160 colTH.push_back(lastTH);
161 colCS.push_back(lastCS);
162 //} // M.K. Presence of H1 with high threshold breaks the syncronization
163 return lastCS*millibarn;
164 } // End of creation of the new set of parameters
165 else
166 {
167 colP[lastI]=pMom;
168 colCS[lastI]=lastCS;
169 }
170 } // End of parameters udate
171 else if(pMom<=lastTH)
172 {
173 return 0.; // Momentum is below the Threshold Value -> CS=0
174 }
175 else // It is the last used -> use the current tables
176 {
177 lastCS=CalculateCrossSection(1,j,2212,lastZ,lastN,pMom); // Only read and UpdateDB
178 lastP=pMom;
179 }
180 return lastCS*millibarn;
181 }
182
183 // The main member function giving the gamma-A cross section (E in GeV, CS in mb)
184 G4double G4ChipsProtonInelasticXS::CalculateCrossSection(G4int F, G4int I,
185 G4int, G4int targZ, G4int targN, G4double Momentum)
186 {
187 static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
188 static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
189 static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
190 static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
191 static const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
192 static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
193 static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
194 static const G4int nH=224; // A#of HEN points in lnE
195 static const G4double milP=G4Log(Pmin);// Low logarithm energy for the HEN part
196 static const G4double malP=G4Log(Pmax);// High logarithm energy (each 2.75 percent)
197 static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
198 static const G4double milPG=G4Log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
199 if(F<=0) // This isotope was not the last used isotop
200 {
201 if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
202 {
203 G4int sync=(G4int)LEN->size();
204 if(sync<=I) G4cout<<"*!*G4QProtonNuclCS::CalcCrossSect:Sync="<<sync<<"<="<<I<<G4endl;
205 lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
206 lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
207 }
208 else // This isotope wasn't calculated before => CREATE
209 {
210 lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
211 lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
212 // --- Instead of making a separate function ---
213 G4double P=THmiG; // Table threshold in GeV/c
214 for(G4int k=0; k<nL; ++k)
215 {
216 lastLEN[k] = CrossSectionLin(targZ, targN, P);
217 P+=dPG;
218 }
219 G4double lP=milPG;
220 for(G4int n=0; n<nH; ++n)
221 {
222 lastHEN[n] = CrossSectionLog(targZ, targN, lP);
223 lP+=dlP;
224 }
225 // --- End of possible separate function
226 // *** The synchronization check ***
227 G4int sync=(G4int)LEN->size();
228 if(sync!=I)
229 {
230 G4cout<<"***G4ChipsProtonNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
231 <<", N="<<targN<<", F="<<F<<G4endl;
232 //G4Exception("G4ProtonNuclearCS::CalculateCS:","39",FatalException,"overflow DB");
233 }
234 LEN->push_back(lastLEN); // remember the Low Energy Table
235 HEN->push_back(lastHEN); // remember the High Energy Table
236 } // End of creation of the new set of parameters
237 } // End of parameters udate
238 // =------------------= NOW the Magic Formula =-----------------------=
239 G4double sigma;
240 if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
241 else if (Momentum<Pmin) // High Energy region
242 {
243 sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
244 }
245 else if (Momentum<Pmax) // High Energy region
246 {
247 G4double lP=G4Log(Momentum);
248 sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
249 }
250 else // UHE region (calculation, not frequent)
251 {
252 G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
253 sigma=CrossSectionFormula(targZ, targN, P, G4Log(P));
254 }
255 if(sigma<0.) return 0.;
256 return sigma;
257 }
258
259 // Electromagnetic momentum-threshold (in MeV/c)
260 G4double G4ChipsProtonInelasticXS::ThresholdMomentum(G4int tZ, G4int tN)
261 {
262 static const G4double third=1./3.;
263 static const G4double pM = G4Proton::Proton()->Definition()->GetPDGMass(); // Projectile mass in MeV
264 static const G4double tpM= pM+pM; // Doubled projectile mass (MeV)
265
266 G4double tA=tZ+tN;
267 if(tZ<.99 || tN<0.) return 0.;
268 else if(tZ==1 && tN==0) return 800.; // A threshold on the free proton
269 //G4double dE=1.263*tZ/(1.+G4Pow::GetInstance()->powA(tA,third));
270 G4double dE=tZ/(1.+G4Pow::GetInstance()->powA(tA,third)); // Safety for diffused edge of the nucleus (QE)
271 G4double tM=931.5*tA;
272 G4double T=dE+dE*(dE/2+pM)/tM;
273 return std::sqrt(T*(tpM+T));
274 }
275
276 // Calculation formula for proton-nuclear inelastic cross-section (mb) (P in GeV/c)
277 G4double G4ChipsProtonInelasticXS::CrossSectionLin(G4int tZ, G4int tN, G4double P)
278 {
279 G4double sigma=0.;
280 if(P<ThresholdMomentum(tZ,tN)*.001) return sigma;
281 G4double lP=G4Log(P);
282 if(tZ==1&&!tN){if(P>.35) sigma=CrossSectionFormula(tZ,tN,P,lP);}// s(pp)=0 below 350Mev/c
283 else if(tZ<97 && tN<152) // General solution
284 {
285 G4double pex=0.;
286 G4double pos=0.;
287 G4double wid=1.;
288 if(tZ==13 && tN==14) // Excited metastable states
289 {
290 pex=230.;
291 pos=.13;
292 wid=8.e-5;
293 }
294 else if(tZ<7)
295 {
296 if(tZ==6 && tN==6)
297 {
298 pex=320.;
299 pos=.14;
300 wid=7.e-6;
301 }
302 else if(tZ==5 && tN==6)
303 {
304 pex=270.;
305 pos=.17;
306 wid=.002;
307 }
308 else if(tZ==4 && tN==5)
309 {
310 pex=600.;
311 pos=.132;
312 wid=.005;
313 }
314 else if(tZ==3 && tN==4)
315 {
316 pex=280.;
317 pos=.19;
318 wid=.0025;
319 }
320 else if(tZ==3 && tN==3)
321 {
322 pex=370.;
323 pos=.171;
324 wid=.006;
325 }
326 else if(tZ==2 && tN==1)
327 {
328 pex=30.;
329 pos=.22;
330 wid=.0005;
331 }
332 }
333 sigma=CrossSectionFormula(tZ,tN,P,lP);
334 if(pex>0.)
335 {
336 G4double dp=P-pos;
337 sigma+=pex*G4Exp(-dp*dp/wid);
338 }
339 }
340 else
341 {
342 G4cerr<<"-Warning-G4ChipsProtonNuclearXS::CSLin:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
343 sigma=0.;
344 }
345 if(sigma<0.) return 0.;
346 return sigma;
347 }
348
349 // Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
350 G4double G4ChipsProtonInelasticXS::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
351 {
352 G4double P=G4Exp(lP);
353 return CrossSectionFormula(tZ, tN, P, lP);
354 }
355 // Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
356 G4double G4ChipsProtonInelasticXS::CrossSectionFormula(G4int tZ, G4int tN,
357 G4double P, G4double lP)
358 {
359 G4double sigma=0.;
360 if(tZ==1 && !tN) // pp interaction (from G4QuasiElasticRatios)
361 {
362 G4double El(0.),To(0.); // Uzhi
363 if(P<0.1) // Copied from G4QuasiElasticRatios Uzhi / start
364 {
365 G4double p2=P*P;
366 El=1./(0.00012+p2*0.2);
367 To=El;
368 }
369 else if(P>1000.)
370 {
371 G4double lp=G4Log(P)-3.5;
372 G4double lp2=lp*lp;
373 El=0.0557*lp2+6.72;
374 To=0.3*lp2+38.2;
375 }
376 else
377 {
378 G4double p2=P*P;
379 G4double LE=1./(0.00012+p2*0.2);
380 G4double lp=G4Log(P)-3.5;
381 G4double lp2=lp*lp;
382 G4double rp2=1./p2;
383 El=LE+(0.0557*lp2+6.72+32.6/P)/(1.+rp2/P);
384 To=LE+(0.3 *lp2+38.2+52.7*rp2)/(1.+2.72*rp2*rp2);
385 } // Copied from G4QuasiElasticRatios Uzhi / end
386
387 /* // Uzhi 4.03.2013
388 G4double p2=P*P;
389 G4double lp=lP-3.5;
390 G4double lp2=lp*lp;
391 G4double rp2=1./p2;
392 G4double El=(.0557*lp2+6.72+30./P)/(1.+.49*rp2/P);
393 G4double To=(.3*lp2+38.2)/(1.+.54*rp2*rp2);
394 */ // Uzhi 4.03.2013
395
396 sigma=To-El;
397 }
398 else if(tZ<97 && tN<152) // General solution
399 {
400 //G4double lP=G4Log(P); // Already calculated
401 G4double d=lP-4.2;
402 G4double p2=P*P;
403 G4double p4=p2*p2;
404 G4double a=tN+tZ; // A of the target
405 G4double al=G4Log(a);
406 G4double sa=std::sqrt(a);
407 G4double a2=a*a;
408 G4double a2s=a2*sa;
409 G4double a4=a2*a2;
410 G4double a8=a4*a4;
411 G4double a12=a8*a4;
412 G4double a16=a8*a8;
413 G4double c=(170.+3600./a2s)/(1.+65./a2s);
414 G4double dl=al-3.;
415 G4double dl2=dl*dl;
416 G4double r=.21+.62*dl2/(1.+.5*dl2);
417 G4double gg=40.*G4Exp(al*0.712)/(1.+12.2/a)/(1.+34./a2);
418 G4double e=318.+a4/(1.+.0015*a4/G4Exp(al*0.09))/(1.+4.e-28*a12)+
419 8.e-18/(1./a16+1.3e-20)/(1.+1.e-21*a12);
420 G4double ss=3.57+.009*a2/(1.+.0001*a2*a);
421 G4double h=(.01/a4+2.5e-6/a)*(1.+6.e-6*a2*a)/(1.+6.e7/a12/a2);
422 sigma=(c+d*d)/(1.+r/p4)+(gg+e*G4Exp(-ss*P))/(1.+h/p4/p4);
423 }
424 else
425 {
426 G4cerr<<"-Warning-G4QProtonNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
427 sigma=0.;
428 }
429 if(sigma<0.) return 0.;
430 return sigma;
431 }
432
433 G4double G4ChipsProtonInelasticXS::EquLinearFit(G4double X, G4int N, G4double X0, G4double DX, G4double* Y)
434 {
435 if(DX<=0. || N<2)
436 {
437 G4cerr<<"***G4ChipsProtonInelasticXS::EquLinearFit: DX="<<DX<<", N="<<N<<G4endl;
438 return Y[0];
439 }
440
441 G4int N2=N-2;
442 G4double d=(X-X0)/DX;
443 G4int jj=static_cast<int>(d);
444 if (jj<0) jj=0;
445 else if(jj>N2) jj=N2;
446 d-=jj; // excess
447 G4double yi=Y[jj];
448 G4double sigma=yi+(Y[jj+1]-yi)*d;
449
450 return sigma;
451 }
452