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26 // 26 //
27 // The lust update: M.V. Kossov, CERN/ITEP(Mos 27 // The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
28 // 28 //
29 // 29 //
30 // G4 Physics class: G4ChipsProtonInelasticXS 30 // G4 Physics class: G4ChipsProtonInelasticXS for gamma+A cross sections
31 // Created: M.V. Kossov, CERN/ITEP(Moscow), 20 31 // Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03
32 // The last update: M.V. Kossov, CERN/ITEP (Mo 32 // The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04
33 // 33 //
34 // 34 //
35 // ******************************************* 35 // ****************************************************************************************
36 // Short description: Cross-sections extracted 36 // Short description: Cross-sections extracted (by W.Pokorski) from the CHIPS package for
37 // proton-nuclear interactions. Original auth 37 // proton-nuclear interactions. Original author: M. Kossov
38 // ------------------------------------------- 38 // -------------------------------------------------------------------------------------
39 // 39 //
40 40
41 41
42 #include "G4ChipsProtonInelasticXS.hh" 42 #include "G4ChipsProtonInelasticXS.hh"
43 #include "G4SystemOfUnits.hh" 43 #include "G4SystemOfUnits.hh"
44 #include "G4DynamicParticle.hh" 44 #include "G4DynamicParticle.hh"
45 #include "G4ParticleDefinition.hh" 45 #include "G4ParticleDefinition.hh"
46 #include "G4Proton.hh" 46 #include "G4Proton.hh"
47 #include "G4Log.hh" 47 #include "G4Log.hh"
48 #include "G4Exp.hh" 48 #include "G4Exp.hh"
49 #include "G4Pow.hh" 49 #include "G4Pow.hh"
50 50
51 51
52 // factory 52 // factory
53 #include "G4CrossSectionFactory.hh" 53 #include "G4CrossSectionFactory.hh"
54 // 54 //
55 G4_DECLARE_XS_FACTORY(G4ChipsProtonInelasticXS 55 G4_DECLARE_XS_FACTORY(G4ChipsProtonInelasticXS);
56 56
57 G4ChipsProtonInelasticXS::G4ChipsProtonInelast 57 G4ChipsProtonInelasticXS::G4ChipsProtonInelasticXS():G4VCrossSectionDataSet(Default_Name())
58 { 58 {
59 // Initialization of the 59 // Initialization of the
60 lastLEN=0; // Pointer to the lastArray of Lo 60 lastLEN=0; // Pointer to the lastArray of LowEn CS
61 lastHEN=0; // Pointer to the lastArray of Hi 61 lastHEN=0; // Pointer to the lastArray of HighEn CS
62 lastN=0; // The last N of calculated nucle 62 lastN=0; // The last N of calculated nucleus
63 lastZ=0; // The last Z of calculated nucle 63 lastZ=0; // The last Z of calculated nucleus
64 lastP=0.; // Last used in cross section Mom 64 lastP=0.; // Last used in cross section Momentum
65 lastTH=0.; // Last threshold momentum 65 lastTH=0.; // Last threshold momentum
66 lastCS=0.; // Last value of the Cross Sectio 66 lastCS=0.; // Last value of the Cross Section
67 lastI=0; // The last position in the DAMDB 67 lastI=0; // The last position in the DAMDB
68 68
69 LEN = new std::vector<G4double*>; 69 LEN = new std::vector<G4double*>;
70 HEN = new std::vector<G4double*>; 70 HEN = new std::vector<G4double*>;
71 } 71 }
72 72
73 G4ChipsProtonInelasticXS::~G4ChipsProtonInelas 73 G4ChipsProtonInelasticXS::~G4ChipsProtonInelasticXS()
74 { 74 {
75 std::size_t lens=LEN->size(); << 75 G4int lens=LEN->size();
76 for(std::size_t i=0; i<lens; ++i) delete[] ( << 76 for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i];
77 delete LEN; 77 delete LEN;
78 std::size_t hens=HEN->size(); << 78 G4int hens=HEN->size();
79 for(std::size_t i=0; i<hens; ++i) delete[] ( << 79 for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i];
80 delete HEN; 80 delete HEN;
81 } 81 }
82 82
83 void 83 void
84 G4ChipsProtonInelasticXS::CrossSectionDescript 84 G4ChipsProtonInelasticXS::CrossSectionDescription(std::ostream& outFile) const
85 { 85 {
86 outFile << "G4ChipsProtonInelasticXS provi 86 outFile << "G4ChipsProtonInelasticXS provides the inelastic cross\n"
87 << "section for proton nucleus sca 87 << "section for proton nucleus scattering as a function of incident\n"
88 << "momentum. The cross section is 88 << "momentum. The cross section is calculated using M. Kossov's\n"
89 << "CHIPS parameterization of cros 89 << "CHIPS parameterization of cross section data.\n";
90 } 90 }
91 91
92 G4bool G4ChipsProtonInelasticXS::IsIsoApplicab 92 G4bool G4ChipsProtonInelasticXS::IsIsoApplicable(const G4DynamicParticle*, G4int, G4int,
93 const G4Element*, 93 const G4Element*,
94 const G4Material*) 94 const G4Material*)
95 { 95 {
96 return true; 96 return true;
97 } 97 }
98 98
99 99
100 // The main member function giving the collisi 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 101 // Make pMom in independent units ! (Now it is MeV)
102 G4double G4ChipsProtonInelasticXS::GetIsoCross 102 G4double G4ChipsProtonInelasticXS::GetIsoCrossSection(const G4DynamicParticle* Pt, G4int tgZ, G4int A,
103 << 103 const G4Isotope*,
104 << 104 const G4Element*,
105 << 105 const G4Material*)
106 { 106 {
107 G4double pMom=Pt->GetTotalMomentum(); 107 G4double pMom=Pt->GetTotalMomentum();
108 G4int tgN = A - tgZ; 108 G4int tgN = A - tgZ;
109 109
110 return GetChipsCrossSection(pMom, tgZ, tgN, 110 return GetChipsCrossSection(pMom, tgZ, tgN, 2212);
111 } 111 }
112 112
113 G4double G4ChipsProtonInelasticXS::GetChipsCro 113 G4double G4ChipsProtonInelasticXS::GetChipsCrossSection(G4double pMom, G4int tgZ, G4int tgN, G4int)
114 { 114 {
115 115
116 G4bool in=false; // By d 116 G4bool in=false; // By default the isotope must be found in the AMDB
117 if(tgN!=lastN || tgZ!=lastZ) // The 117 if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
118 { 118 {
119 in = false; // By d 119 in = false; // By default the isotope haven't been found in AMDB
120 lastP = 0.; // New 120 lastP = 0.; // New momentum history (nothing to compare with)
121 lastN = tgN; // The 121 lastN = tgN; // The last N of the calculated nucleus
122 lastZ = tgZ; // The 122 lastZ = tgZ; // The last Z of the calculated nucleus
123 lastI = (G4int)colN.size(); // Size << 123 lastI = colN.size(); // Size of the Associative Memory DB in the heap
124 j = 0; // A#0f 124 j = 0; // A#0f records found in DB for this projectile
125 if(lastI) for(G4int i=0; i<lastI; ++i) // << 125 if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
126 { 126 {
127 if(colN[i]==tgN && colZ[i]==tgZ) // Try 127 if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
128 { 128 {
129 lastI=i; // Reme 129 lastI=i; // Remember the index for future fast/last use
130 lastTH =colTH[i]; // The 130 lastTH =colTH[i]; // The last THreshold (A-dependent)
131 if(pMom<=lastTH) 131 if(pMom<=lastTH)
132 { 132 {
133 return 0.; // Ener 133 return 0.; // Energy is below the Threshold value
134 } 134 }
135 lastP =colP [i]; // Last 135 lastP =colP [i]; // Last Momentum (A-dependent)
136 lastCS =colCS[i]; // Last 136 lastCS =colCS[i]; // Last CrossSect (A-dependent)
137 in = true; // This 137 in = true; // This is the case when the isotop is found in DB
138 // Momentum pMom is in IU ! @@ Units 138 // Momentum pMom is in IU ! @@ Units
139 lastCS=CalculateCrossSection(-1,j,2212 139 lastCS=CalculateCrossSection(-1,j,2212,lastZ,lastN,pMom); // read & update
140 if(lastCS<=0. && pMom>lastTH) // Corr 140 if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
141 { 141 {
142 lastCS=0.; 142 lastCS=0.;
143 lastTH=pMom; 143 lastTH=pMom;
144 } 144 }
145 break; // Go o 145 break; // Go out of the LOOP
146 } 146 }
147 j++; // Incr 147 j++; // Increment a#0f records found in DB
148 } 148 }
149 if(!in) // This 149 if(!in) // This isotope has not been calculated previously
150 { 150 {
151 //!!The slave functions must provide cro 151 //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
152 lastCS=CalculateCrossSection(0,j,2212,la 152 lastCS=CalculateCrossSection(0,j,2212,lastZ,lastN,pMom); //calculate & create
153 //if(lastCS>0.) // It 153 //if(lastCS>0.) // It means that the AMBD was initialized
154 //{ 154 //{
155 155
156 lastTH = 0; //ThresholdEnergy(tgZ, tgN); 156 lastTH = 0; //ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
157 colN.push_back(tgN); 157 colN.push_back(tgN);
158 colZ.push_back(tgZ); 158 colZ.push_back(tgZ);
159 colP.push_back(pMom); 159 colP.push_back(pMom);
160 colTH.push_back(lastTH); 160 colTH.push_back(lastTH);
161 colCS.push_back(lastCS); 161 colCS.push_back(lastCS);
162 //} // M.K. Presence of H1 with high thresho 162 //} // M.K. Presence of H1 with high threshold breaks the syncronization
163 return lastCS*millibarn; 163 return lastCS*millibarn;
164 } // End of creation of the new set of par 164 } // End of creation of the new set of parameters
165 else 165 else
166 { 166 {
167 colP[lastI]=pMom; 167 colP[lastI]=pMom;
168 colCS[lastI]=lastCS; 168 colCS[lastI]=lastCS;
169 } 169 }
170 } // End of parameters udate 170 } // End of parameters udate
171 else if(pMom<=lastTH) 171 else if(pMom<=lastTH)
172 { 172 {
173 return 0.; // Mome 173 return 0.; // Momentum is below the Threshold Value -> CS=0
174 } 174 }
175 else // It i 175 else // It is the last used -> use the current tables
176 { 176 {
177 lastCS=CalculateCrossSection(1,j,2212,last 177 lastCS=CalculateCrossSection(1,j,2212,lastZ,lastN,pMom); // Only read and UpdateDB
178 lastP=pMom; 178 lastP=pMom;
179 } 179 }
180 return lastCS*millibarn; 180 return lastCS*millibarn;
181 } 181 }
182 182
183 // The main member function giving the gamma-A 183 // The main member function giving the gamma-A cross section (E in GeV, CS in mb)
184 G4double G4ChipsProtonInelasticXS::CalculateCr 184 G4double G4ChipsProtonInelasticXS::CalculateCrossSection(G4int F, G4int I,
185 G4int, 185 G4int, G4int targZ, G4int targN, G4double Momentum)
186 { 186 {
187 static const G4double THmin=27.; // defa 187 static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
188 static const G4double THmiG=THmin*.001; // m 188 static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
189 static const G4double dP=10.; // step 189 static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
190 static const G4double dPG=dP*.001; // step 190 static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
191 static const G4int nL=105; // A#of 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; 192 static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
193 static const G4double Pmax=227000.; // maxP 193 static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
194 static const G4int nH=224; // A#of 194 static const G4int nH=224; // A#of HEN points in lnE
195 static const G4double milP=G4Log(Pmin);// Lo 195 static const G4double milP=G4Log(Pmin);// Low logarithm energy for the HEN part
196 static const G4double malP=G4Log(Pmax);// Hi 196 static const G4double malP=G4Log(Pmax);// High logarithm energy (each 2.75 percent)
197 static const G4double dlP=(malP-milP)/(nH-1) 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) 198 static const G4double milPG=G4Log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
>> 199 G4double sigma=0.;
>> 200 if(F&&I) sigma=0.; // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
>> 201 //G4double A=targN+targZ; // A of the target
199 if(F<=0) // This 202 if(F<=0) // This isotope was not the last used isotop
200 { 203 {
201 if(F<0) // This 204 if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
202 { 205 {
203 G4int sync=(G4int)LEN->size(); << 206 G4int sync=LEN->size();
204 if(sync<=I) G4cout<<"*!*G4QProtonNuclCS: 207 if(sync<=I) G4cout<<"*!*G4QProtonNuclCS::CalcCrossSect:Sync="<<sync<<"<="<<I<<G4endl;
205 lastLEN=(*LEN)[I]; // Poin 208 lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
206 lastHEN=(*HEN)[I]; // Poin 209 lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
207 } 210 }
208 else // This 211 else // This isotope wasn't calculated before => CREATE
209 { 212 {
210 lastLEN = new G4double[nL]; // Allo 213 lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
211 lastHEN = new G4double[nH]; // Allo 214 lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
212 // --- Instead of making a separate func 215 // --- Instead of making a separate function ---
213 G4double P=THmiG; // Tabl 216 G4double P=THmiG; // Table threshold in GeV/c
214 for(G4int k=0; k<nL; ++k) << 217 for(G4int k=0; k<nL; k++)
215 { 218 {
216 lastLEN[k] = CrossSectionLin(targZ, ta 219 lastLEN[k] = CrossSectionLin(targZ, targN, P);
217 P+=dPG; 220 P+=dPG;
218 } 221 }
219 G4double lP=milPG; 222 G4double lP=milPG;
220 for(G4int n=0; n<nH; ++n) << 223 for(G4int n=0; n<nH; n++)
221 { 224 {
222 lastHEN[n] = CrossSectionLog(targZ, ta 225 lastHEN[n] = CrossSectionLog(targZ, targN, lP);
223 lP+=dlP; 226 lP+=dlP;
224 } 227 }
225 // --- End of possible separate function 228 // --- End of possible separate function
226 // *** The synchronization check *** 229 // *** The synchronization check ***
227 G4int sync=(G4int)LEN->size(); << 230 G4int sync=LEN->size();
228 if(sync!=I) 231 if(sync!=I)
229 { 232 {
230 G4cout<<"***G4ChipsProtonNuclCS::CalcC 233 G4cout<<"***G4ChipsProtonNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
231 <<", N="<<targN<<", F="<<F<<G4en 234 <<", N="<<targN<<", F="<<F<<G4endl;
232 //G4Exception("G4ProtonNuclearCS::Calc 235 //G4Exception("G4ProtonNuclearCS::CalculateCS:","39",FatalException,"overflow DB");
233 } 236 }
234 LEN->push_back(lastLEN); // rem 237 LEN->push_back(lastLEN); // remember the Low Energy Table
235 HEN->push_back(lastHEN); // rem 238 HEN->push_back(lastHEN); // remember the High Energy Table
236 } // End of creation of the new set of par 239 } // End of creation of the new set of parameters
237 } // End of parameters udate 240 } // End of parameters udate
238 // =------------------= NOW the Magic Formul 241 // =------------------= NOW the Magic Formula =-----------------------=
239 G4double sigma; <<
240 if (Momentum<lastTH) return 0.; // It m 242 if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
241 else if (Momentum<Pmin) // High 243 else if (Momentum<Pmin) // High Energy region
242 { 244 {
243 sigma=EquLinearFit(Momentum,nL,THmin,dP,la 245 sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
244 } 246 }
245 else if (Momentum<Pmax) // High 247 else if (Momentum<Pmax) // High Energy region
246 { 248 {
247 G4double lP=G4Log(Momentum); 249 G4double lP=G4Log(Momentum);
248 sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN) 250 sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
249 } 251 }
250 else // UHE 252 else // UHE region (calculation, not frequent)
251 { 253 {
252 G4double P=0.001*Momentum; // Appr 254 G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
253 sigma=CrossSectionFormula(targZ, targN, P, 255 sigma=CrossSectionFormula(targZ, targN, P, G4Log(P));
254 } 256 }
255 if(sigma<0.) return 0.; 257 if(sigma<0.) return 0.;
256 return sigma; 258 return sigma;
257 } 259 }
258 260
259 // Electromagnetic momentum-threshold (in MeV/ 261 // Electromagnetic momentum-threshold (in MeV/c)
260 G4double G4ChipsProtonInelasticXS::ThresholdMo 262 G4double G4ChipsProtonInelasticXS::ThresholdMomentum(G4int tZ, G4int tN)
261 { 263 {
262 static const G4double third=1./3.; 264 static const G4double third=1./3.;
263 static const G4double pM = G4Proton::Proton( 265 static const G4double pM = G4Proton::Proton()->Definition()->GetPDGMass(); // Projectile mass in MeV
264 static const G4double tpM= pM+pM; // D 266 static const G4double tpM= pM+pM; // Doubled projectile mass (MeV)
265 267
266 G4double tA=tZ+tN; 268 G4double tA=tZ+tN;
267 if(tZ<.99 || tN<0.) return 0.; 269 if(tZ<.99 || tN<0.) return 0.;
268 else if(tZ==1 && tN==0) return 800.; // A 270 else if(tZ==1 && tN==0) return 800.; // A threshold on the free proton
269 //G4double dE=1.263*tZ/(1.+G4Pow::GetInstanc 271 //G4double dE=1.263*tZ/(1.+G4Pow::GetInstance()->powA(tA,third));
270 G4double dE=tZ/(1.+G4Pow::GetInstance()->pow 272 G4double dE=tZ/(1.+G4Pow::GetInstance()->powA(tA,third)); // Safety for diffused edge of the nucleus (QE)
271 G4double tM=931.5*tA; 273 G4double tM=931.5*tA;
272 G4double T=dE+dE*(dE/2+pM)/tM; 274 G4double T=dE+dE*(dE/2+pM)/tM;
273 return std::sqrt(T*(tpM+T)); 275 return std::sqrt(T*(tpM+T));
274 } 276 }
275 277
276 // Calculation formula for proton-nuclear inel 278 // Calculation formula for proton-nuclear inelastic cross-section (mb) (P in GeV/c)
277 G4double G4ChipsProtonInelasticXS::CrossSectio 279 G4double G4ChipsProtonInelasticXS::CrossSectionLin(G4int tZ, G4int tN, G4double P)
278 { 280 {
279 G4double sigma=0.; 281 G4double sigma=0.;
280 if(P<ThresholdMomentum(tZ,tN)*.001) return s 282 if(P<ThresholdMomentum(tZ,tN)*.001) return sigma;
281 G4double lP=G4Log(P); 283 G4double lP=G4Log(P);
282 if(tZ==1&&!tN){if(P>.35) sigma=CrossSectionF 284 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) // G 285 else if(tZ<97 && tN<152) // General solution
284 { 286 {
285 G4double pex=0.; 287 G4double pex=0.;
286 G4double pos=0.; 288 G4double pos=0.;
287 G4double wid=1.; 289 G4double wid=1.;
288 if(tZ==13 && tN==14) // E 290 if(tZ==13 && tN==14) // Excited metastable states
289 { 291 {
290 pex=230.; 292 pex=230.;
291 pos=.13; 293 pos=.13;
292 wid=8.e-5; 294 wid=8.e-5;
293 } 295 }
294 else if(tZ<7) 296 else if(tZ<7)
295 { 297 {
296 if(tZ==6 && tN==6) 298 if(tZ==6 && tN==6)
297 { 299 {
298 pex=320.; 300 pex=320.;
299 pos=.14; 301 pos=.14;
300 wid=7.e-6; 302 wid=7.e-6;
301 } 303 }
302 else if(tZ==5 && tN==6) 304 else if(tZ==5 && tN==6)
303 { 305 {
304 pex=270.; 306 pex=270.;
305 pos=.17; 307 pos=.17;
306 wid=.002; 308 wid=.002;
307 } 309 }
308 else if(tZ==4 && tN==5) 310 else if(tZ==4 && tN==5)
309 { 311 {
310 pex=600.; 312 pex=600.;
311 pos=.132; 313 pos=.132;
312 wid=.005; 314 wid=.005;
313 } 315 }
314 else if(tZ==3 && tN==4) 316 else if(tZ==3 && tN==4)
315 { 317 {
316 pex=280.; 318 pex=280.;
317 pos=.19; 319 pos=.19;
318 wid=.0025; 320 wid=.0025;
319 } 321 }
320 else if(tZ==3 && tN==3) 322 else if(tZ==3 && tN==3)
321 { 323 {
322 pex=370.; 324 pex=370.;
323 pos=.171; 325 pos=.171;
324 wid=.006; 326 wid=.006;
325 } 327 }
326 else if(tZ==2 && tN==1) 328 else if(tZ==2 && tN==1)
327 { 329 {
328 pex=30.; 330 pex=30.;
329 pos=.22; 331 pos=.22;
330 wid=.0005; 332 wid=.0005;
331 } 333 }
332 } 334 }
333 sigma=CrossSectionFormula(tZ,tN,P,lP); 335 sigma=CrossSectionFormula(tZ,tN,P,lP);
334 if(pex>0.) 336 if(pex>0.)
335 { 337 {
336 G4double dp=P-pos; 338 G4double dp=P-pos;
337 sigma+=pex*G4Exp(-dp*dp/wid); 339 sigma+=pex*G4Exp(-dp*dp/wid);
338 } 340 }
339 } 341 }
340 else 342 else
341 { 343 {
342 G4cerr<<"-Warning-G4ChipsProtonNuclearXS:: 344 G4cerr<<"-Warning-G4ChipsProtonNuclearXS::CSLin:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
343 sigma=0.; 345 sigma=0.;
344 } 346 }
345 if(sigma<0.) return 0.; 347 if(sigma<0.) return 0.;
346 return sigma; 348 return sigma;
347 } 349 }
348 350
349 // Calculation formula for proton-nuclear inel 351 // Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
350 G4double G4ChipsProtonInelasticXS::CrossSectio 352 G4double G4ChipsProtonInelasticXS::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
351 { 353 {
352 G4double P=G4Exp(lP); 354 G4double P=G4Exp(lP);
353 return CrossSectionFormula(tZ, tN, P, lP); 355 return CrossSectionFormula(tZ, tN, P, lP);
354 } 356 }
355 // Calculation formula for proton-nuclear inel 357 // Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
356 G4double G4ChipsProtonInelasticXS::CrossSectio 358 G4double G4ChipsProtonInelasticXS::CrossSectionFormula(G4int tZ, G4int tN,
357 359 G4double P, G4double lP)
358 { 360 {
359 G4double sigma=0.; 361 G4double sigma=0.;
360 if(tZ==1 && !tN) // p 362 if(tZ==1 && !tN) // pp interaction (from G4QuasiElasticRatios)
361 { 363 {
362 G4double El(0.),To(0.); // U 364 G4double El(0.),To(0.); // Uzhi
363 if(P<0.1) // C 365 if(P<0.1) // Copied from G4QuasiElasticRatios Uzhi / start
364 { 366 {
365 G4double p2=P*P; 367 G4double p2=P*P;
366 El=1./(0.00012+p2*0.2); 368 El=1./(0.00012+p2*0.2);
367 To=El; 369 To=El;
368 } 370 }
369 else if(P>1000.) 371 else if(P>1000.)
370 { 372 {
371 G4double lp=G4Log(P)-3.5; 373 G4double lp=G4Log(P)-3.5;
372 G4double lp2=lp*lp; 374 G4double lp2=lp*lp;
373 El=0.0557*lp2+6.72; 375 El=0.0557*lp2+6.72;
374 To=0.3*lp2+38.2; 376 To=0.3*lp2+38.2;
375 } 377 }
376 else 378 else
377 { 379 {
378 G4double p2=P*P; 380 G4double p2=P*P;
379 G4double LE=1./(0.00012+p2*0.2); 381 G4double LE=1./(0.00012+p2*0.2);
380 G4double lp=G4Log(P)-3.5; 382 G4double lp=G4Log(P)-3.5;
381 G4double lp2=lp*lp; 383 G4double lp2=lp*lp;
382 G4double rp2=1./p2; 384 G4double rp2=1./p2;
383 El=LE+(0.0557*lp2+6.72+32.6/P)/(1.+rp2/P 385 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.+2.7 386 To=LE+(0.3 *lp2+38.2+52.7*rp2)/(1.+2.72*rp2*rp2);
385 } // Cop 387 } // Copied from G4QuasiElasticRatios Uzhi / end
386 388
387 /* 389 /* // Uzhi 4.03.2013
388 G4double p2=P*P; 390 G4double p2=P*P;
389 G4double lp=lP-3.5; 391 G4double lp=lP-3.5;
390 G4double lp2=lp*lp; 392 G4double lp2=lp*lp;
391 G4double rp2=1./p2; 393 G4double rp2=1./p2;
392 G4double El=(.0557*lp2+6.72+30./P)/(1.+.49 394 G4double El=(.0557*lp2+6.72+30./P)/(1.+.49*rp2/P);
393 G4double To=(.3*lp2+38.2)/(1.+.54*rp2*rp2) 395 G4double To=(.3*lp2+38.2)/(1.+.54*rp2*rp2);
394 */ 396 */ // Uzhi 4.03.2013
395 397
396 sigma=To-El; 398 sigma=To-El;
397 } 399 }
398 else if(tZ<97 && tN<152) // G 400 else if(tZ<97 && tN<152) // General solution
399 { 401 {
400 //G4double lP=G4Log(P); // Alre 402 //G4double lP=G4Log(P); // Already calculated
401 G4double d=lP-4.2; 403 G4double d=lP-4.2;
402 G4double p2=P*P; 404 G4double p2=P*P;
403 G4double p4=p2*p2; 405 G4double p4=p2*p2;
404 G4double a=tN+tZ; // 406 G4double a=tN+tZ; // A of the target
405 G4double al=G4Log(a); 407 G4double al=G4Log(a);
406 G4double sa=std::sqrt(a); 408 G4double sa=std::sqrt(a);
407 G4double a2=a*a; 409 G4double a2=a*a;
408 G4double a2s=a2*sa; 410 G4double a2s=a2*sa;
409 G4double a4=a2*a2; 411 G4double a4=a2*a2;
410 G4double a8=a4*a4; 412 G4double a8=a4*a4;
411 G4double a12=a8*a4; 413 G4double a12=a8*a4;
412 G4double a16=a8*a8; 414 G4double a16=a8*a8;
413 G4double c=(170.+3600./a2s)/(1.+65./a2s); 415 G4double c=(170.+3600./a2s)/(1.+65./a2s);
414 G4double dl=al-3.; 416 G4double dl=al-3.;
415 G4double dl2=dl*dl; 417 G4double dl2=dl*dl;
416 G4double r=.21+.62*dl2/(1.+.5*dl2); 418 G4double r=.21+.62*dl2/(1.+.5*dl2);
417 G4double gg=40.*G4Exp(al*0.712)/(1.+12.2/a 419 G4double gg=40.*G4Exp(al*0.712)/(1.+12.2/a)/(1.+34./a2);
418 G4double e=318.+a4/(1.+.0015*a4/G4Exp(al*0 420 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 421 8.e-18/(1./a16+1.3e-20)/(1.+1.e-21*a12);
420 G4double ss=3.57+.009*a2/(1.+.0001*a2*a); 422 G4double ss=3.57+.009*a2/(1.+.0001*a2*a);
421 G4double h=(.01/a4+2.5e-6/a)*(1.+6.e-6*a2* 423 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) 424 sigma=(c+d*d)/(1.+r/p4)+(gg+e*G4Exp(-ss*P))/(1.+h/p4/p4);
423 } 425 }
424 else 426 else
425 { 427 {
426 G4cerr<<"-Warning-G4QProtonNuclearCroSect: 428 G4cerr<<"-Warning-G4QProtonNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
427 sigma=0.; 429 sigma=0.;
428 } 430 }
429 if(sigma<0.) return 0.; 431 if(sigma<0.) return 0.;
430 return sigma; 432 return sigma;
431 } 433 }
432 434
433 G4double G4ChipsProtonInelasticXS::EquLinearFi 435 G4double G4ChipsProtonInelasticXS::EquLinearFit(G4double X, G4int N, G4double X0, G4double DX, G4double* Y)
434 { 436 {
435 if(DX<=0. || N<2) 437 if(DX<=0. || N<2)
436 { 438 {
437 G4cerr<<"***G4ChipsProtonInelasticXS::Eq 439 G4cerr<<"***G4ChipsProtonInelasticXS::EquLinearFit: DX="<<DX<<", N="<<N<<G4endl;
438 return Y[0]; 440 return Y[0];
439 } 441 }
440 442
441 G4int N2=N-2; 443 G4int N2=N-2;
442 G4double d=(X-X0)/DX; 444 G4double d=(X-X0)/DX;
443 G4int jj=static_cast<int>(d); 445 G4int jj=static_cast<int>(d);
444 if (jj<0) jj=0; 446 if (jj<0) jj=0;
445 else if(jj>N2) jj=N2; 447 else if(jj>N2) jj=N2;
446 d-=jj; // excess 448 d-=jj; // excess
447 G4double yi=Y[jj]; 449 G4double yi=Y[jj];
448 G4double sigma=yi+(Y[jj+1]-yi)*d; 450 G4double sigma=yi+(Y[jj+1]-yi)*d;
449 451
450 return sigma; 452 return sigma;
451 } 453 }
452 454