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G4ChipsKaonMinusInelasticXS.cc
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27 // The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
28 // GEANT4 tag $Name: not supported by cvs2svn $
29 //
30 //
31 // G4 Physics class: G4ChipsKaonMinusInelasticXS for gamma+A cross sections
32 // Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03
33 // The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04
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 "G4ChipsKaonMinusInelasticXS.hh"
41 #include "G4SystemOfUnits.hh"
42 #include "G4DynamicParticle.hh"
43 #include "G4ParticleDefinition.hh"
44 #include "G4KaonMinus.hh"
45 
46 // factory
47 #include "G4CrossSectionFactory.hh"
48 //
49 G4_DECLARE_XS_FACTORY(G4ChipsKaonMinusInelasticXS);
50 
51 // Initialization of the
52 
53 G4ChipsKaonMinusInelasticXS::G4ChipsKaonMinusInelasticXS():G4VCrossSectionDataSet(Default_Name())
54 {
55  lastLEN=0; // Pointer to lastArray of LowEn CS
56  lastHEN=0; // Pointer to lastArray of HighEn CS
57  lastN=0; // The last N of calculated nucleus
58  lastZ=0; // The last Z of calculated nucleus
59  lastP=0.; // Last used in CrossSection Momentum
60  lastTH=0.; // Last threshold momentum
61  lastCS=0.; // Last value of the Cross Section
62  lastI=0; // The last position in the DAMDB
63  LEN = new std::vector<G4double*>;
64  HEN = new std::vector<G4double*>;
65 }
66 
67 G4ChipsKaonMinusInelasticXS::~G4ChipsKaonMinusInelasticXS()
68 {
69  G4int lens=LEN->size();
70  for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i];
71  delete LEN;
72 
73  G4int hens=HEN->size();
74  for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i];
75  delete HEN;
76 }
77 
78 G4bool G4ChipsKaonMinusInelasticXS::IsIsoApplicable(const G4DynamicParticle* Pt, G4int, G4int,
79  const G4Element*,
80  const G4Material*)
81 {
82  G4ParticleDefinition* particle = Pt->GetDefinition();
83  if (particle == G4KaonMinus::KaonMinus() ) return true;
84  return false;
85 }
86 
87 
88 // The main member function giving the collision cross section (P is in IU, CS is in mb)
89 // Make pMom in independent units ! (Now it is MeV)
90 G4double G4ChipsKaonMinusInelasticXS::GetIsoCrossSection(const G4DynamicParticle* Pt, G4int tgZ, G4int A,
91  const G4Isotope*,
92  const G4Element*,
93  const G4Material*)
94 {
95  G4double pMom=Pt->GetTotalMomentum();
96  G4int tgN = A - tgZ;
97 
98  return GetChipsCrossSection(pMom, tgZ, tgN, -321);
99 }
100 
101 G4double G4ChipsKaonMinusInelasticXS::GetChipsCrossSection(G4double pMom, G4int tgZ, G4int tgN, G4int)
102 {
103  static G4int j; // A#0f Z/N-records already tested in AMDB
104  static std::vector <G4int> colN; // Vector of N for calculated nuclei (isotops)
105  static std::vector <G4int> colZ; // Vector of Z for calculated nuclei (isotops)
106  static std::vector <G4double> colP; // Vector of last momenta for the reaction
107  static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction
108  static std::vector <G4double> colCS; // Vector of last cross sections for the reaction
109  // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---***
110 
111  G4bool in=false; // By default the isotope must be found in the AMDB
112  if(tgN!=lastN || tgZ!=lastZ) // The nucleus was not the last used isotope
113  {
114  in = false; // By default the isotope haven't be found in AMDB
115  lastP = 0.; // New momentum history (nothing to compare with)
116  lastN = tgN; // The last N of the calculated nucleus
117  lastZ = tgZ; // The last Z of the calculated nucleus
118  lastI = colN.size(); // Size of the Associative Memory DB in the heap
119  j = 0; // A#0f records found in DB for this projectile
120  if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
121  {
122  if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
123  {
124  lastI=i; // Remember the index for future fast/last use
125  lastTH =colTH[i]; // The last THreshold (A-dependent)
126  if(pMom<=lastTH)
127  {
128  return 0.; // Energy is below the Threshold value
129  }
130  lastP =colP [i]; // Last Momentum (A-dependent)
131  lastCS =colCS[i]; // Last CrossSect (A-dependent)
132  in = true; // This is the case when the isotop is found in DB
133  // Momentum pMom is in IU ! @@ Units
134  lastCS=CalculateCrossSection(-1,j,-321,lastZ,lastN,pMom); // read & update
135  if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
136  {
137  lastCS=0.;
138  lastTH=pMom;
139  }
140  break; // Go out of the LOOP
141  }
142  j++; // Increment a#0f records found in DB
143  }
144  if(!in) // This isotope has not been calculated previously
145  {
147  lastCS=CalculateCrossSection(0,j,-321,lastZ,lastN,pMom); //calculate & create
148  //if(lastCS>0.) // It means that the AMBD was initialized
149  //{
150 
151  // lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
152 
153  lastTH = 0; // WP - to be checked!!!
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,-321,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 G4ChipsKaonMinusInelasticXS::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=std::log(Pmin);// Low logarithm energy for the HEN part
193  static const G4double malP=std::log(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=std::log(.001*Pmin);// Low logarithmEnergy for HEN part GeV/c
196  G4double sigma=0.;
197  if(F&&I) sigma=0.; // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
198  //G4double A=targN+targZ; // A of the target
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=LEN->size();
204  if(sync<=I) G4cerr<<"*!*G4QPiMinusNuclCS::CalcCrosSect: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=LEN->size();
228  if(sync!=I)
229  {
230  G4cerr<<"***G4ChipsKaonMinusCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
231  <<", N="<<targN<<", F="<<F<<G4endl;
232  //G4Exception("G4PiMinusNuclearCS::CalculateCS:","39",FatalException,"DBoverflow");
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  if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
240  else if (Momentum<Pmin) // High Energy region
241  {
242  sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
243  }
244  else if (Momentum<Pmax) // High Energy region
245  {
246  G4double lP=std::log(Momentum);
247  sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
248  }
249  else // UHE region (calculation, not frequent)
250  {
251  G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
252  sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
253  }
254  if(sigma<0.) return 0.;
255  return sigma;
256 }
257 
258 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) (P in GeV/c)
259 G4double G4ChipsKaonMinusInelasticXS::CrossSectionLin(G4int tZ, G4int tN, G4double P)
260 {
261  G4double lP=std::log(P);
262  return CrossSectionFormula(tZ, tN, P, lP);
263 }
264 
265 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
266 G4double G4ChipsKaonMinusInelasticXS::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
267 {
268  G4double P=std::exp(lP);
269  return CrossSectionFormula(tZ, tN, P, lP);
270 }
271 // Calculation formula for piMinus-nuclear inelastic cross-section (mb) log(P in GeV/c)
272 G4double G4ChipsKaonMinusInelasticXS::CrossSectionFormula(G4int tZ, G4int tN,
273  G4double P, G4double lP)
274 {
275  G4double sigma=0.;
276  if(tZ==1 && !tN) // PiMin-Proton interaction from G4QuasiElRatios
277  {
278  G4double ld=lP-3.5;
279  G4double ld2=ld*ld;
280  G4double p2=P*P;
281  G4double p4=p2*p2;
282  G4double sp=std::sqrt(P);
283  G4double psp=P*sp;
284  G4double lm=P-.39;
285  G4double md=lm*lm+.000156;
286  G4double lh=P-1.;
287  G4double hd=lh*lh+.0156;
288  G4double El=(.0557*ld2+2.23)/(1.-.7/sp+.075/p4);
289  G4double To=(.3*ld2+19.5)/(1.-.21/sp+.52/p4);
290  sigma=8.8/psp+(To-El)+.002/md+.15/hd;
291  }
292  else if(tZ==1 && tN==1) // kmp_tot
293  {
294  G4double p2=P*P;
295  G4double dX=lP-3.7;
296  G4double dR=P-.94;
297  G4double sp=std::sqrt(P);
298  sigma=(.6*dX*dX+36.)/(1.-.11/sp+.52/p2/p2)+.7/(dR*dR+.0256)+18./P/sp;
299  }
300  else if(tZ<97 && tN<152) // General solution
301  {
302  G4double d=lP-4.2;
303  G4double sp=std::sqrt(P);
304  G4double p2=P*P;
305  G4double a=tN+tZ; // A of the target
306  G4double sa=std::sqrt(a);
307  G4double al=std::log(a);
308  G4double a2=a*a;
309  G4double c=52.*std::exp(al*0.6)*(1.+97./a2)/(1.+9.8/a)/(1.+47./a2);
310  G4double gg=-.2-.003*a;
311  G4double h=.5+.07*a;
312  G4double v=P-1.;
313  G4double f=.6*a*sa/(1.+.00002*a2);
314  G4double u=.125+.127*al;
315  sigma=(c+d*d)/(1.+gg/sp+h/p2/p2)+f/(v*v+u*u)+20.*sa/P/sp;
316  }
317  else
318  {
319  G4cerr<<"-Warning-G4ChipsKMinusNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
320  sigma=0.;
321  }
322  if(sigma<0.) return 0.;
323  return sigma;
324 }
325 
326 G4double G4ChipsKaonMinusInelasticXS::EquLinearFit(G4double X, G4int N, G4double X0, G4double DX, G4double* Y)
327 {
328  if(DX<=0. || N<2)
329  {
330  G4cerr<<"***G4ChipsKaonMinusInelasticXS::EquLinearFit: DX="<<DX<<", N="<<N<<G4endl;
331  return Y[0];
332  }
333 
334  G4int N2=N-2;
335  G4double d=(X-X0)/DX;
336  G4int j=static_cast<int>(d);
337  if (j<0) j=0;
338  else if(j>N2) j=N2;
339  d-=j; // excess
340  G4double yi=Y[j];
341  G4double sigma=yi+(Y[j+1]-yi)*d;
342 
343  return sigma;
344 }
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