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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 // GEANT4 tag $Name: not supported by cvs2svn $
28 // 29 //
29 // 30 //
30 // G4 Physics class: G4ChipsProtonInelasticXS 31 // G4 Physics class: G4ChipsProtonInelasticXS for gamma+A cross sections
31 // Created: M.V. Kossov, CERN/ITEP(Moscow), 20 32 // Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03
32 // The last update: M.V. Kossov, CERN/ITEP (Mo 33 // The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04
33 // 34 //
34 // 35 //
35 // ******************************************* 36 // ****************************************************************************************
36 // Short description: Cross-sections extracted 37 // Short description: Cross-sections extracted (by W.Pokorski) from the CHIPS package for
37 // proton-nuclear interactions. Original auth 38 // proton-nuclear interactions. Original author: M. Kossov
38 // ------------------------------------------- 39 // -------------------------------------------------------------------------------------
39 // 40 //
40 41
41 42
42 #include "G4ChipsProtonInelasticXS.hh" 43 #include "G4ChipsProtonInelasticXS.hh"
43 #include "G4SystemOfUnits.hh" 44 #include "G4SystemOfUnits.hh"
44 #include "G4DynamicParticle.hh" 45 #include "G4DynamicParticle.hh"
45 #include "G4ParticleDefinition.hh" 46 #include "G4ParticleDefinition.hh"
46 #include "G4Proton.hh" 47 #include "G4Proton.hh"
47 #include "G4Log.hh" <<
48 #include "G4Exp.hh" <<
49 #include "G4Pow.hh" <<
50 <<
51 48
52 // factory 49 // factory
53 #include "G4CrossSectionFactory.hh" 50 #include "G4CrossSectionFactory.hh"
54 // 51 //
55 G4_DECLARE_XS_FACTORY(G4ChipsProtonInelasticXS 52 G4_DECLARE_XS_FACTORY(G4ChipsProtonInelasticXS);
56 53
57 G4ChipsProtonInelasticXS::G4ChipsProtonInelast 54 G4ChipsProtonInelasticXS::G4ChipsProtonInelasticXS():G4VCrossSectionDataSet(Default_Name())
58 { 55 {
59 // Initialization of the 56 // Initialization of the
60 lastLEN=0; // Pointer to the lastArray of Lo 57 lastLEN=0; // Pointer to the lastArray of LowEn CS
61 lastHEN=0; // Pointer to the lastArray of Hi 58 lastHEN=0; // Pointer to the lastArray of HighEn CS
62 lastN=0; // The last N of calculated nucle 59 lastN=0; // The last N of calculated nucleus
63 lastZ=0; // The last Z of calculated nucle 60 lastZ=0; // The last Z of calculated nucleus
64 lastP=0.; // Last used in cross section Mom 61 lastP=0.; // Last used in cross section Momentum
65 lastTH=0.; // Last threshold momentum 62 lastTH=0.; // Last threshold momentum
66 lastCS=0.; // Last value of the Cross Sectio 63 lastCS=0.; // Last value of the Cross Section
67 lastI=0; // The last position in the DAMDB 64 lastI=0; // The last position in the DAMDB
68 65
69 LEN = new std::vector<G4double*>; 66 LEN = new std::vector<G4double*>;
70 HEN = new std::vector<G4double*>; 67 HEN = new std::vector<G4double*>;
71 } 68 }
72 69
73 G4ChipsProtonInelasticXS::~G4ChipsProtonInelas 70 G4ChipsProtonInelasticXS::~G4ChipsProtonInelasticXS()
74 { 71 {
75 std::size_t lens=LEN->size(); << 72 /*
76 for(std::size_t i=0; i<lens; ++i) delete[] ( << 73 G4int lens=LEN->size();
>> 74 for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i];
77 delete LEN; 75 delete LEN;
78 std::size_t hens=HEN->size(); << 76 G4int hens=HEN->size();
79 for(std::size_t i=0; i<hens; ++i) delete[] ( << 77 for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i];
80 delete HEN; 78 delete HEN;
>> 79 */
81 } 80 }
82 81
83 void << 82 G4bool G4ChipsProtonInelasticXS::IsIsoApplicable(const G4DynamicParticle* Pt, G4int, G4int,
84 G4ChipsProtonInelasticXS::CrossSectionDescript <<
85 { <<
86 outFile << "G4ChipsProtonInelasticXS provi <<
87 << "section for proton nucleus sca <<
88 << "momentum. The cross section is <<
89 << "CHIPS parameterization of cros <<
90 } <<
91 <<
92 G4bool G4ChipsProtonInelasticXS::IsIsoApplicab <<
93 const G4Element*, 83 const G4Element*,
94 const G4Material*) 84 const G4Material*)
95 { 85 {
96 return true; << 86 G4ParticleDefinition* particle = Pt->GetDefinition();
>> 87 if (particle == G4Proton::Proton() ) return true;
>> 88 return false;
97 } 89 }
98 90
99 91
100 // The main member function giving the collisi 92 // 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 93 // Make pMom in independent units ! (Now it is MeV)
102 G4double G4ChipsProtonInelasticXS::GetIsoCross 94 G4double G4ChipsProtonInelasticXS::GetIsoCrossSection(const G4DynamicParticle* Pt, G4int tgZ, G4int A,
103 << 95 const G4Isotope*,
104 << 96 const G4Element*,
105 << 97 const G4Material*)
106 { 98 {
107 G4double pMom=Pt->GetTotalMomentum(); 99 G4double pMom=Pt->GetTotalMomentum();
108 G4int tgN = A - tgZ; 100 G4int tgN = A - tgZ;
109 101
110 return GetChipsCrossSection(pMom, tgZ, tgN, 102 return GetChipsCrossSection(pMom, tgZ, tgN, 2212);
111 } 103 }
112 104
113 G4double G4ChipsProtonInelasticXS::GetChipsCro 105 G4double G4ChipsProtonInelasticXS::GetChipsCrossSection(G4double pMom, G4int tgZ, G4int tgN, G4int)
114 { 106 {
>> 107 static G4int j; // A#0f Z/N-records already tested in AMDB
>> 108 static std::vector <G4int> colN; // Vector of N for calculated nuclei (isotops)
>> 109 static std::vector <G4int> colZ; // Vector of Z for calculated nuclei (isotops)
>> 110 static std::vector <G4double> colP; // Vector of last momenta for the reaction
>> 111 static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction
>> 112 static std::vector <G4double> colCS; // Vector of last cross sections for the reaction
>> 113 // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---***
115 114
116 G4bool in=false; // By d 115 G4bool in=false; // By default the isotope must be found in the AMDB
117 if(tgN!=lastN || tgZ!=lastZ) // The 116 if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
118 { 117 {
119 in = false; // By d 118 in = false; // By default the isotope haven't been found in AMDB
120 lastP = 0.; // New 119 lastP = 0.; // New momentum history (nothing to compare with)
121 lastN = tgN; // The 120 lastN = tgN; // The last N of the calculated nucleus
122 lastZ = tgZ; // The 121 lastZ = tgZ; // The last Z of the calculated nucleus
123 lastI = (G4int)colN.size(); // Size << 122 lastI = colN.size(); // Size of the Associative Memory DB in the heap
124 j = 0; // A#0f 123 j = 0; // A#0f records found in DB for this projectile
125 if(lastI) for(G4int i=0; i<lastI; ++i) // << 124 if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
126 { 125 {
127 if(colN[i]==tgN && colZ[i]==tgZ) // Try 126 if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
128 { 127 {
129 lastI=i; // Reme 128 lastI=i; // Remember the index for future fast/last use
130 lastTH =colTH[i]; // The 129 lastTH =colTH[i]; // The last THreshold (A-dependent)
131 if(pMom<=lastTH) 130 if(pMom<=lastTH)
132 { 131 {
133 return 0.; // Ener 132 return 0.; // Energy is below the Threshold value
134 } 133 }
135 lastP =colP [i]; // Last 134 lastP =colP [i]; // Last Momentum (A-dependent)
136 lastCS =colCS[i]; // Last 135 lastCS =colCS[i]; // Last CrossSect (A-dependent)
137 in = true; // This 136 in = true; // This is the case when the isotop is found in DB
138 // Momentum pMom is in IU ! @@ Units 137 // Momentum pMom is in IU ! @@ Units
139 lastCS=CalculateCrossSection(-1,j,2212 138 lastCS=CalculateCrossSection(-1,j,2212,lastZ,lastN,pMom); // read & update
140 if(lastCS<=0. && pMom>lastTH) // Corr 139 if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
141 { 140 {
142 lastCS=0.; 141 lastCS=0.;
143 lastTH=pMom; 142 lastTH=pMom;
144 } 143 }
145 break; // Go o 144 break; // Go out of the LOOP
146 } 145 }
147 j++; // Incr 146 j++; // Increment a#0f records found in DB
148 } 147 }
149 if(!in) // This 148 if(!in) // This isotope has not been calculated previously
150 { 149 {
151 //!!The slave functions must provide cro 150 //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
152 lastCS=CalculateCrossSection(0,j,2212,la 151 lastCS=CalculateCrossSection(0,j,2212,lastZ,lastN,pMom); //calculate & create
153 //if(lastCS>0.) // It 152 //if(lastCS>0.) // It means that the AMBD was initialized
154 //{ 153 //{
155 154
156 lastTH = 0; //ThresholdEnergy(tgZ, tgN); 155 lastTH = 0; //ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
157 colN.push_back(tgN); 156 colN.push_back(tgN);
158 colZ.push_back(tgZ); 157 colZ.push_back(tgZ);
159 colP.push_back(pMom); 158 colP.push_back(pMom);
160 colTH.push_back(lastTH); 159 colTH.push_back(lastTH);
161 colCS.push_back(lastCS); 160 colCS.push_back(lastCS);
162 //} // M.K. Presence of H1 with high thresho 161 //} // M.K. Presence of H1 with high threshold breaks the syncronization
163 return lastCS*millibarn; 162 return lastCS*millibarn;
164 } // End of creation of the new set of par 163 } // End of creation of the new set of parameters
165 else 164 else
166 { 165 {
167 colP[lastI]=pMom; 166 colP[lastI]=pMom;
168 colCS[lastI]=lastCS; 167 colCS[lastI]=lastCS;
169 } 168 }
170 } // End of parameters udate 169 } // End of parameters udate
171 else if(pMom<=lastTH) 170 else if(pMom<=lastTH)
172 { 171 {
173 return 0.; // Mome 172 return 0.; // Momentum is below the Threshold Value -> CS=0
174 } 173 }
175 else // It i 174 else // It is the last used -> use the current tables
176 { 175 {
177 lastCS=CalculateCrossSection(1,j,2212,last 176 lastCS=CalculateCrossSection(1,j,2212,lastZ,lastN,pMom); // Only read and UpdateDB
178 lastP=pMom; 177 lastP=pMom;
179 } 178 }
180 return lastCS*millibarn; 179 return lastCS*millibarn;
181 } 180 }
182 181
183 // The main member function giving the gamma-A 182 // The main member function giving the gamma-A cross section (E in GeV, CS in mb)
184 G4double G4ChipsProtonInelasticXS::CalculateCr 183 G4double G4ChipsProtonInelasticXS::CalculateCrossSection(G4int F, G4int I,
185 G4int, 184 G4int, G4int targZ, G4int targN, G4double Momentum)
186 { 185 {
187 static const G4double THmin=27.; // defa 186 static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
188 static const G4double THmiG=THmin*.001; // m 187 static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
189 static const G4double dP=10.; // step 188 static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
190 static const G4double dPG=dP*.001; // step 189 static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
191 static const G4int nL=105; // A#of 190 static const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
192 static const G4double Pmin=THmin+(nL-1)*dP; 191 static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
193 static const G4double Pmax=227000.; // maxP 192 static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
194 static const G4int nH=224; // A#of 193 static const G4int nH=224; // A#of HEN points in lnE
195 static const G4double milP=G4Log(Pmin);// Lo << 194 static const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
196 static const G4double malP=G4Log(Pmax);// Hi << 195 static const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
197 static const G4double dlP=(malP-milP)/(nH-1) 196 static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
198 static const G4double milPG=G4Log(.001*Pmin) << 197 static const G4double milPG=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
>> 198 G4double sigma=0.;
>> 199 if(F&&I) sigma=0.; // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
>> 200 //G4double A=targN+targZ; // A of the target
199 if(F<=0) // This 201 if(F<=0) // This isotope was not the last used isotop
200 { 202 {
201 if(F<0) // This 203 if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
202 { 204 {
203 G4int sync=(G4int)LEN->size(); << 205 G4int sync=LEN->size();
204 if(sync<=I) G4cout<<"*!*G4QProtonNuclCS: 206 if(sync<=I) G4cout<<"*!*G4QProtonNuclCS::CalcCrossSect:Sync="<<sync<<"<="<<I<<G4endl;
205 lastLEN=(*LEN)[I]; // Poin 207 lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
206 lastHEN=(*HEN)[I]; // Poin 208 lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
207 } 209 }
208 else // This 210 else // This isotope wasn't calculated before => CREATE
209 { 211 {
210 lastLEN = new G4double[nL]; // Allo 212 lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
211 lastHEN = new G4double[nH]; // Allo 213 lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
212 // --- Instead of making a separate func 214 // --- Instead of making a separate function ---
213 G4double P=THmiG; // Tabl 215 G4double P=THmiG; // Table threshold in GeV/c
214 for(G4int k=0; k<nL; ++k) << 216 for(G4int k=0; k<nL; k++)
215 { 217 {
216 lastLEN[k] = CrossSectionLin(targZ, ta 218 lastLEN[k] = CrossSectionLin(targZ, targN, P);
217 P+=dPG; 219 P+=dPG;
218 } 220 }
219 G4double lP=milPG; 221 G4double lP=milPG;
220 for(G4int n=0; n<nH; ++n) << 222 for(G4int n=0; n<nH; n++)
221 { 223 {
222 lastHEN[n] = CrossSectionLog(targZ, ta 224 lastHEN[n] = CrossSectionLog(targZ, targN, lP);
223 lP+=dlP; 225 lP+=dlP;
224 } 226 }
225 // --- End of possible separate function 227 // --- End of possible separate function
226 // *** The synchronization check *** 228 // *** The synchronization check ***
227 G4int sync=(G4int)LEN->size(); << 229 G4int sync=LEN->size();
228 if(sync!=I) 230 if(sync!=I)
229 { 231 {
230 G4cout<<"***G4ChipsProtonNuclCS::CalcC 232 G4cout<<"***G4ChipsProtonNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
231 <<", N="<<targN<<", F="<<F<<G4en 233 <<", N="<<targN<<", F="<<F<<G4endl;
232 //G4Exception("G4ProtonNuclearCS::Calc 234 //G4Exception("G4ProtonNuclearCS::CalculateCS:","39",FatalException,"overflow DB");
233 } 235 }
234 LEN->push_back(lastLEN); // rem 236 LEN->push_back(lastLEN); // remember the Low Energy Table
235 HEN->push_back(lastHEN); // rem 237 HEN->push_back(lastHEN); // remember the High Energy Table
236 } // End of creation of the new set of par 238 } // End of creation of the new set of parameters
237 } // End of parameters udate 239 } // End of parameters udate
238 // =------------------= NOW the Magic Formul 240 // =------------------= NOW the Magic Formula =-----------------------=
239 G4double sigma; <<
240 if (Momentum<lastTH) return 0.; // It m 241 if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
241 else if (Momentum<Pmin) // High 242 else if (Momentum<Pmin) // High Energy region
242 { 243 {
243 sigma=EquLinearFit(Momentum,nL,THmin,dP,la 244 sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
244 } 245 }
245 else if (Momentum<Pmax) // High 246 else if (Momentum<Pmax) // High Energy region
246 { 247 {
247 G4double lP=G4Log(Momentum); << 248 G4double lP=std::log(Momentum);
248 sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN) 249 sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
249 } 250 }
250 else // UHE 251 else // UHE region (calculation, not frequent)
251 { 252 {
252 G4double P=0.001*Momentum; // Appr 253 G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
253 sigma=CrossSectionFormula(targZ, targN, P, << 254 sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
254 } 255 }
255 if(sigma<0.) return 0.; 256 if(sigma<0.) return 0.;
256 return sigma; 257 return sigma;
257 } 258 }
258 259
259 // Electromagnetic momentum-threshold (in MeV/ 260 // Electromagnetic momentum-threshold (in MeV/c)
260 G4double G4ChipsProtonInelasticXS::ThresholdMo 261 G4double G4ChipsProtonInelasticXS::ThresholdMomentum(G4int tZ, G4int tN)
261 { 262 {
262 static const G4double third=1./3.; 263 static const G4double third=1./3.;
263 static const G4double pM = G4Proton::Proton( 264 static const G4double pM = G4Proton::Proton()->Definition()->GetPDGMass(); // Projectile mass in MeV
264 static const G4double tpM= pM+pM; // D 265 static const G4double tpM= pM+pM; // Doubled projectile mass (MeV)
265 266
266 G4double tA=tZ+tN; 267 G4double tA=tZ+tN;
267 if(tZ<.99 || tN<0.) return 0.; 268 if(tZ<.99 || tN<0.) return 0.;
268 else if(tZ==1 && tN==0) return 800.; // A 269 else if(tZ==1 && tN==0) return 800.; // A threshold on the free proton
269 //G4double dE=1.263*tZ/(1.+G4Pow::GetInstanc << 270 //G4double dE=1.263*tZ/(1.+std::pow(tA,third));
270 G4double dE=tZ/(1.+G4Pow::GetInstance()->pow << 271 G4double dE=tZ/(1.+std::pow(tA,third)); // Safety for diffused edge of the nucleus (QE)
271 G4double tM=931.5*tA; 272 G4double tM=931.5*tA;
272 G4double T=dE+dE*(dE/2+pM)/tM; 273 G4double T=dE+dE*(dE/2+pM)/tM;
273 return std::sqrt(T*(tpM+T)); 274 return std::sqrt(T*(tpM+T));
274 } 275 }
275 276
276 // Calculation formula for proton-nuclear inel 277 // Calculation formula for proton-nuclear inelastic cross-section (mb) (P in GeV/c)
277 G4double G4ChipsProtonInelasticXS::CrossSectio 278 G4double G4ChipsProtonInelasticXS::CrossSectionLin(G4int tZ, G4int tN, G4double P)
278 { 279 {
279 G4double sigma=0.; 280 G4double sigma=0.;
280 if(P<ThresholdMomentum(tZ,tN)*.001) return s 281 if(P<ThresholdMomentum(tZ,tN)*.001) return sigma;
281 G4double lP=G4Log(P); << 282 G4double lP=std::log(P);
282 if(tZ==1&&!tN){if(P>.35) sigma=CrossSectionF 283 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 284 else if(tZ<97 && tN<152) // General solution
284 { 285 {
285 G4double pex=0.; 286 G4double pex=0.;
286 G4double pos=0.; 287 G4double pos=0.;
287 G4double wid=1.; 288 G4double wid=1.;
288 if(tZ==13 && tN==14) // E 289 if(tZ==13 && tN==14) // Excited metastable states
289 { 290 {
290 pex=230.; 291 pex=230.;
291 pos=.13; 292 pos=.13;
292 wid=8.e-5; 293 wid=8.e-5;
293 } 294 }
294 else if(tZ<7) 295 else if(tZ<7)
295 { 296 {
296 if(tZ==6 && tN==6) 297 if(tZ==6 && tN==6)
297 { 298 {
298 pex=320.; 299 pex=320.;
299 pos=.14; 300 pos=.14;
300 wid=7.e-6; 301 wid=7.e-6;
301 } 302 }
302 else if(tZ==5 && tN==6) 303 else if(tZ==5 && tN==6)
303 { 304 {
304 pex=270.; 305 pex=270.;
305 pos=.17; 306 pos=.17;
306 wid=.002; 307 wid=.002;
307 } 308 }
308 else if(tZ==4 && tN==5) 309 else if(tZ==4 && tN==5)
309 { 310 {
310 pex=600.; 311 pex=600.;
311 pos=.132; 312 pos=.132;
312 wid=.005; 313 wid=.005;
313 } 314 }
314 else if(tZ==3 && tN==4) 315 else if(tZ==3 && tN==4)
315 { 316 {
316 pex=280.; 317 pex=280.;
317 pos=.19; 318 pos=.19;
318 wid=.0025; 319 wid=.0025;
319 } 320 }
320 else if(tZ==3 && tN==3) 321 else if(tZ==3 && tN==3)
321 { 322 {
322 pex=370.; 323 pex=370.;
323 pos=.171; 324 pos=.171;
324 wid=.006; 325 wid=.006;
325 } 326 }
326 else if(tZ==2 && tN==1) 327 else if(tZ==2 && tN==1)
327 { 328 {
328 pex=30.; 329 pex=30.;
329 pos=.22; 330 pos=.22;
330 wid=.0005; 331 wid=.0005;
331 } 332 }
332 } 333 }
333 sigma=CrossSectionFormula(tZ,tN,P,lP); 334 sigma=CrossSectionFormula(tZ,tN,P,lP);
334 if(pex>0.) 335 if(pex>0.)
335 { 336 {
336 G4double dp=P-pos; 337 G4double dp=P-pos;
337 sigma+=pex*G4Exp(-dp*dp/wid); << 338 sigma+=pex*std::exp(-dp*dp/wid);
338 } 339 }
339 } 340 }
340 else 341 else
341 { 342 {
342 G4cerr<<"-Warning-G4ChipsProtonNuclearXS:: 343 G4cerr<<"-Warning-G4ChipsProtonNuclearXS::CSLin:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
343 sigma=0.; 344 sigma=0.;
344 } 345 }
345 if(sigma<0.) return 0.; 346 if(sigma<0.) return 0.;
346 return sigma; 347 return sigma;
347 } 348 }
348 349
349 // Calculation formula for proton-nuclear inel 350 // Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
350 G4double G4ChipsProtonInelasticXS::CrossSectio 351 G4double G4ChipsProtonInelasticXS::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
351 { 352 {
352 G4double P=G4Exp(lP); << 353 G4double P=std::exp(lP);
353 return CrossSectionFormula(tZ, tN, P, lP); 354 return CrossSectionFormula(tZ, tN, P, lP);
354 } 355 }
355 // Calculation formula for proton-nuclear inel 356 // Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
356 G4double G4ChipsProtonInelasticXS::CrossSectio 357 G4double G4ChipsProtonInelasticXS::CrossSectionFormula(G4int tZ, G4int tN,
357 358 G4double P, G4double lP)
358 { 359 {
359 G4double sigma=0.; 360 G4double sigma=0.;
360 if(tZ==1 && !tN) // p 361 if(tZ==1 && !tN) // pp interaction (from G4QuasiElasticRatios)
361 { 362 {
362 G4double El(0.),To(0.); // U <<
363 if(P<0.1) // C <<
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.+2.7 <<
385 } // Cop <<
386 <<
387 /* <<
388 G4double p2=P*P; 363 G4double p2=P*P;
389 G4double lp=lP-3.5; 364 G4double lp=lP-3.5;
390 G4double lp2=lp*lp; 365 G4double lp2=lp*lp;
391 G4double rp2=1./p2; 366 G4double rp2=1./p2;
392 G4double El=(.0557*lp2+6.72+30./P)/(1.+.49 367 G4double El=(.0557*lp2+6.72+30./P)/(1.+.49*rp2/P);
393 G4double To=(.3*lp2+38.2)/(1.+.54*rp2*rp2) 368 G4double To=(.3*lp2+38.2)/(1.+.54*rp2*rp2);
394 */ <<
395 <<
396 sigma=To-El; 369 sigma=To-El;
397 } 370 }
398 else if(tZ<97 && tN<152) // G 371 else if(tZ<97 && tN<152) // General solution
399 { 372 {
400 //G4double lP=G4Log(P); // Alre << 373 //G4double lP=std::log(P); // Already calculated
401 G4double d=lP-4.2; 374 G4double d=lP-4.2;
402 G4double p2=P*P; 375 G4double p2=P*P;
403 G4double p4=p2*p2; 376 G4double p4=p2*p2;
404 G4double a=tN+tZ; // 377 G4double a=tN+tZ; // A of the target
405 G4double al=G4Log(a); << 378 G4double al=std::log(a);
406 G4double sa=std::sqrt(a); 379 G4double sa=std::sqrt(a);
407 G4double a2=a*a; 380 G4double a2=a*a;
408 G4double a2s=a2*sa; 381 G4double a2s=a2*sa;
409 G4double a4=a2*a2; 382 G4double a4=a2*a2;
410 G4double a8=a4*a4; 383 G4double a8=a4*a4;
411 G4double a12=a8*a4; 384 G4double a12=a8*a4;
412 G4double a16=a8*a8; 385 G4double a16=a8*a8;
413 G4double c=(170.+3600./a2s)/(1.+65./a2s); 386 G4double c=(170.+3600./a2s)/(1.+65./a2s);
414 G4double dl=al-3.; 387 G4double dl=al-3.;
415 G4double dl2=dl*dl; 388 G4double dl2=dl*dl;
416 G4double r=.21+.62*dl2/(1.+.5*dl2); 389 G4double r=.21+.62*dl2/(1.+.5*dl2);
417 G4double gg=40.*G4Exp(al*0.712)/(1.+12.2/a << 390 G4double gg=40.*std::exp(al*0.712)/(1.+12.2/a)/(1.+34./a2);
418 G4double e=318.+a4/(1.+.0015*a4/G4Exp(al*0 << 391 G4double e=318.+a4/(1.+.0015*a4/std::exp(al*0.09))/(1.+4.e-28*a12)+
419 8.e-18/(1./a16+1.3e-20)/(1.+1.e 392 8.e-18/(1./a16+1.3e-20)/(1.+1.e-21*a12);
420 G4double ss=3.57+.009*a2/(1.+.0001*a2*a); 393 G4double ss=3.57+.009*a2/(1.+.0001*a2*a);
421 G4double h=(.01/a4+2.5e-6/a)*(1.+6.e-6*a2* 394 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) << 395 sigma=(c+d*d)/(1.+r/p4)+(gg+e*std::exp(-ss*P))/(1.+h/p4/p4);
423 } 396 }
424 else 397 else
425 { 398 {
426 G4cerr<<"-Warning-G4QProtonNuclearCroSect: 399 G4cerr<<"-Warning-G4QProtonNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
427 sigma=0.; 400 sigma=0.;
428 } 401 }
429 if(sigma<0.) return 0.; 402 if(sigma<0.) return 0.;
430 return sigma; 403 return sigma;
431 } 404 }
432 405
433 G4double G4ChipsProtonInelasticXS::EquLinearFi 406 G4double G4ChipsProtonInelasticXS::EquLinearFit(G4double X, G4int N, G4double X0, G4double DX, G4double* Y)
434 { 407 {
435 if(DX<=0. || N<2) 408 if(DX<=0. || N<2)
436 { 409 {
437 G4cerr<<"***G4ChipsProtonInelasticXS::Eq 410 G4cerr<<"***G4ChipsProtonInelasticXS::EquLinearFit: DX="<<DX<<", N="<<N<<G4endl;
438 return Y[0]; 411 return Y[0];
439 } 412 }
440 413
441 G4int N2=N-2; 414 G4int N2=N-2;
442 G4double d=(X-X0)/DX; 415 G4double d=(X-X0)/DX;
443 G4int jj=static_cast<int>(d); << 416 G4int j=static_cast<int>(d);
444 if (jj<0) jj=0; << 417 if (j<0) j=0;
445 else if(jj>N2) jj=N2; << 418 else if(j>N2) j=N2;
446 d-=jj; // excess << 419 d-=j; // excess
447 G4double yi=Y[jj]; << 420 G4double yi=Y[j];
448 G4double sigma=yi+(Y[jj+1]-yi)*d; << 421 G4double sigma=yi+(Y[j+1]-yi)*d;
449 422
450 return sigma; 423 return sigma;
451 } 424 }
452 425