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