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G4ChipsProtonInelasticXS.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: G4ChipsProtonInelasticXS 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 // ****************************************************************************************
37 // Short description: Cross-sections extracted (by W.Pokorski) from the CHIPS package for
38 // proton-nuclear interactions. Original author: M. Kossov
39 // -------------------------------------------------------------------------------------
40 //
41 
42 
43 #include "G4ChipsProtonInelasticXS.hh"
44 #include "G4SystemOfUnits.hh"
45 #include "G4DynamicParticle.hh"
46 #include "G4ParticleDefinition.hh"
47 #include "G4Proton.hh"
48 
49 // factory
50 #include "G4CrossSectionFactory.hh"
51 //
52 G4_DECLARE_XS_FACTORY(G4ChipsProtonInelasticXS);
53 
54 G4ChipsProtonInelasticXS::G4ChipsProtonInelasticXS():G4VCrossSectionDataSet(Default_Name())
55 {
56  // Initialization of the
57  lastLEN=0; // Pointer to the lastArray of LowEn CS
58  lastHEN=0; // Pointer to the lastArray of HighEn CS
59  lastN=0; // The last N of calculated nucleus
60  lastZ=0; // The last Z of calculated nucleus
61  lastP=0.; // Last used in cross section Momentum
62  lastTH=0.; // Last threshold momentum
63  lastCS=0.; // Last value of the Cross Section
64  lastI=0; // The last position in the DAMDB
65 
66  LEN = new std::vector<G4double*>;
67  HEN = new std::vector<G4double*>;
68 }
69 
70 G4ChipsProtonInelasticXS::~G4ChipsProtonInelasticXS()
71 {
72  /*
73  G4int lens=LEN->size();
74  for(G4int i=0; i<lens; ++i) delete[] (*LEN)[i];
75  delete LEN;
76  G4int hens=HEN->size();
77  for(G4int i=0; i<hens; ++i) delete[] (*HEN)[i];
78  delete HEN;
79  */
80 }
81 
82 G4bool G4ChipsProtonInelasticXS::IsIsoApplicable(const G4DynamicParticle* Pt, G4int, G4int,
83  const G4Element*,
84  const G4Material*)
85 {
86  G4ParticleDefinition* particle = Pt->GetDefinition();
87  if (particle == G4Proton::Proton() ) 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 G4ChipsProtonInelasticXS::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, 2212);
103 }
104 
105 G4double G4ChipsProtonInelasticXS::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 been 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  if(lastI) for(G4int i=0; i<lastI; i++) // AMDB exists, try to find the (Z,N) isotope
125  {
126  if(colN[i]==tgN && colZ[i]==tgZ) // Try the record "i" in the AMDB
127  {
128  lastI=i; // Remember the index for future fast/last use
129  lastTH =colTH[i]; // The last THreshold (A-dependent)
130  if(pMom<=lastTH)
131  {
132  return 0.; // Energy is below the Threshold value
133  }
134  lastP =colP [i]; // Last Momentum (A-dependent)
135  lastCS =colCS[i]; // Last CrossSect (A-dependent)
136  in = true; // This is the case when the isotop is found in DB
137  // Momentum pMom is in IU ! @@ Units
138  lastCS=CalculateCrossSection(-1,j,2212,lastZ,lastN,pMom); // read & update
139  if(lastCS<=0. && pMom>lastTH) // Correct the threshold (@@ No intermediate Zeros)
140  {
141  lastCS=0.;
142  lastTH=pMom;
143  }
144  break; // Go out of the LOOP
145  }
146  j++; // Increment a#0f records found in DB
147  }
148  if(!in) // This isotope has not been calculated previously
149  {
151  lastCS=CalculateCrossSection(0,j,2212,lastZ,lastN,pMom); //calculate & create
152  //if(lastCS>0.) // It means that the AMBD was initialized
153  //{
154 
155  lastTH = 0; //ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
156  colN.push_back(tgN);
157  colZ.push_back(tgZ);
158  colP.push_back(pMom);
159  colTH.push_back(lastTH);
160  colCS.push_back(lastCS);
161  //} // M.K. Presence of H1 with high threshold breaks the syncronization
162  return lastCS*millibarn;
163  } // End of creation of the new set of parameters
164  else
165  {
166  colP[lastI]=pMom;
167  colCS[lastI]=lastCS;
168  }
169  } // End of parameters udate
170  else if(pMom<=lastTH)
171  {
172  return 0.; // Momentum is below the Threshold Value -> CS=0
173  }
174  else // It is the last used -> use the current tables
175  {
176  lastCS=CalculateCrossSection(1,j,2212,lastZ,lastN,pMom); // Only read and UpdateDB
177  lastP=pMom;
178  }
179  return lastCS*millibarn;
180 }
181 
182 // The main member function giving the gamma-A cross section (E in GeV, CS in mb)
183 G4double G4ChipsProtonInelasticXS::CalculateCrossSection(G4int F, G4int I,
184  G4int, G4int targZ, G4int targN, G4double Momentum)
185 {
186  static const G4double THmin=27.; // default minimum Momentum (MeV/c) Threshold
187  static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
188  static const G4double dP=10.; // step for the LEN (Low ENergy) table MeV/c
189  static const G4double dPG=dP*.001; // step for the LEN (Low ENergy) table GeV/c
190  static const G4int nL=105; // A#of LEN points in E (step 10 MeV/c)
191  static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
192  static const G4double Pmax=227000.; // maxP for the HEN (High ENergy) part 227 GeV
193  static const G4int nH=224; // A#of HEN points in lnE
194  static const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
195  static const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
196  static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
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
201  if(F<=0) // This isotope was not the last used isotop
202  {
203  if(F<0) // This isotope was found in DAMDB =-----=> RETRIEVE
204  {
205  G4int sync=LEN->size();
206  if(sync<=I) G4cout<<"*!*G4QProtonNuclCS::CalcCrossSect:Sync="<<sync<<"<="<<I<<G4endl;
207  lastLEN=(*LEN)[I]; // Pointer to prepared LowEnergy cross sections
208  lastHEN=(*HEN)[I]; // Pointer to prepared High Energy cross sections
209  }
210  else // This isotope wasn't calculated before => CREATE
211  {
212  lastLEN = new G4double[nL]; // Allocate memory for the new LEN cross sections
213  lastHEN = new G4double[nH]; // Allocate memory for the new HEN cross sections
214  // --- Instead of making a separate function ---
215  G4double P=THmiG; // Table threshold in GeV/c
216  for(G4int k=0; k<nL; k++)
217  {
218  lastLEN[k] = CrossSectionLin(targZ, targN, P);
219  P+=dPG;
220  }
221  G4double lP=milPG;
222  for(G4int n=0; n<nH; n++)
223  {
224  lastHEN[n] = CrossSectionLog(targZ, targN, lP);
225  lP+=dlP;
226  }
227  // --- End of possible separate function
228  // *** The synchronization check ***
229  G4int sync=LEN->size();
230  if(sync!=I)
231  {
232  G4cout<<"***G4ChipsProtonNuclCS::CalcCrossSect: Sinc="<<sync<<"#"<<I<<", Z=" <<targZ
233  <<", N="<<targN<<", F="<<F<<G4endl;
234  //G4Exception("G4ProtonNuclearCS::CalculateCS:","39",FatalException,"overflow DB");
235  }
236  LEN->push_back(lastLEN); // remember the Low Energy Table
237  HEN->push_back(lastHEN); // remember the High Energy Table
238  } // End of creation of the new set of parameters
239  } // End of parameters udate
240  // =------------------= NOW the Magic Formula =-----------------------=
241  if (Momentum<lastTH) return 0.; // It must be already checked in the interface class
242  else if (Momentum<Pmin) // High Energy region
243  {
244  sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
245  }
246  else if (Momentum<Pmax) // High Energy region
247  {
248  G4double lP=std::log(Momentum);
249  sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
250  }
251  else // UHE region (calculation, not frequent)
252  {
253  G4double P=0.001*Momentum; // Approximation formula is for P in GeV/c
254  sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
255  }
256  if(sigma<0.) return 0.;
257  return sigma;
258 }
259 
260 // Electromagnetic momentum-threshold (in MeV/c)
261 G4double G4ChipsProtonInelasticXS::ThresholdMomentum(G4int tZ, G4int tN)
262 {
263  static const G4double third=1./3.;
264  static const G4double pM = G4Proton::Proton()->Definition()->GetPDGMass(); // Projectile mass in MeV
265  static const G4double tpM= pM+pM; // Doubled projectile mass (MeV)
266 
267  G4double tA=tZ+tN;
268  if(tZ<.99 || tN<0.) return 0.;
269  else if(tZ==1 && tN==0) return 800.; // A threshold on the free proton
270  //G4double dE=1.263*tZ/(1.+std::pow(tA,third));
271  G4double dE=tZ/(1.+std::pow(tA,third)); // Safety for diffused edge of the nucleus (QE)
272  G4double tM=931.5*tA;
273  G4double T=dE+dE*(dE/2+pM)/tM;
274  return std::sqrt(T*(tpM+T));
275 }
276 
277 // Calculation formula for proton-nuclear inelastic cross-section (mb) (P in GeV/c)
278 G4double G4ChipsProtonInelasticXS::CrossSectionLin(G4int tZ, G4int tN, G4double P)
279 {
280  G4double sigma=0.;
281  if(P<ThresholdMomentum(tZ,tN)*.001) return sigma;
282  G4double lP=std::log(P);
283  if(tZ==1&&!tN){if(P>.35) sigma=CrossSectionFormula(tZ,tN,P,lP);}// s(pp)=0 below 350Mev/c
284  else if(tZ<97 && tN<152) // General solution
285  {
286  G4double pex=0.;
287  G4double pos=0.;
288  G4double wid=1.;
289  if(tZ==13 && tN==14) // Excited metastable states
290  {
291  pex=230.;
292  pos=.13;
293  wid=8.e-5;
294  }
295  else if(tZ<7)
296  {
297  if(tZ==6 && tN==6)
298  {
299  pex=320.;
300  pos=.14;
301  wid=7.e-6;
302  }
303  else if(tZ==5 && tN==6)
304  {
305  pex=270.;
306  pos=.17;
307  wid=.002;
308  }
309  else if(tZ==4 && tN==5)
310  {
311  pex=600.;
312  pos=.132;
313  wid=.005;
314  }
315  else if(tZ==3 && tN==4)
316  {
317  pex=280.;
318  pos=.19;
319  wid=.0025;
320  }
321  else if(tZ==3 && tN==3)
322  {
323  pex=370.;
324  pos=.171;
325  wid=.006;
326  }
327  else if(tZ==2 && tN==1)
328  {
329  pex=30.;
330  pos=.22;
331  wid=.0005;
332  }
333  }
334  sigma=CrossSectionFormula(tZ,tN,P,lP);
335  if(pex>0.)
336  {
337  G4double dp=P-pos;
338  sigma+=pex*std::exp(-dp*dp/wid);
339  }
340  }
341  else
342  {
343  G4cerr<<"-Warning-G4ChipsProtonNuclearXS::CSLin:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
344  sigma=0.;
345  }
346  if(sigma<0.) return 0.;
347  return sigma;
348 }
349 
350 // Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
351 G4double G4ChipsProtonInelasticXS::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
352 {
353  G4double P=std::exp(lP);
354  return CrossSectionFormula(tZ, tN, P, lP);
355 }
356 // Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
357 G4double G4ChipsProtonInelasticXS::CrossSectionFormula(G4int tZ, G4int tN,
358  G4double P, G4double lP)
359 {
360  G4double sigma=0.;
361  if(tZ==1 && !tN) // pp interaction (from G4QuasiElasticRatios)
362  {
363  G4double p2=P*P;
364  G4double lp=lP-3.5;
365  G4double lp2=lp*lp;
366  G4double rp2=1./p2;
367  G4double El=(.0557*lp2+6.72+30./P)/(1.+.49*rp2/P);
368  G4double To=(.3*lp2+38.2)/(1.+.54*rp2*rp2);
369  sigma=To-El;
370  }
371  else if(tZ<97 && tN<152) // General solution
372  {
373  //G4double lP=std::log(P); // Already calculated
374  G4double d=lP-4.2;
375  G4double p2=P*P;
376  G4double p4=p2*p2;
377  G4double a=tN+tZ; // A of the target
378  G4double al=std::log(a);
379  G4double sa=std::sqrt(a);
380  G4double a2=a*a;
381  G4double a2s=a2*sa;
382  G4double a4=a2*a2;
383  G4double a8=a4*a4;
384  G4double a12=a8*a4;
385  G4double a16=a8*a8;
386  G4double c=(170.+3600./a2s)/(1.+65./a2s);
387  G4double dl=al-3.;
388  G4double dl2=dl*dl;
389  G4double r=.21+.62*dl2/(1.+.5*dl2);
390  G4double gg=40.*std::exp(al*0.712)/(1.+12.2/a)/(1.+34./a2);
391  G4double e=318.+a4/(1.+.0015*a4/std::exp(al*0.09))/(1.+4.e-28*a12)+
392  8.e-18/(1./a16+1.3e-20)/(1.+1.e-21*a12);
393  G4double ss=3.57+.009*a2/(1.+.0001*a2*a);
394  G4double h=(.01/a4+2.5e-6/a)*(1.+6.e-6*a2*a)/(1.+6.e7/a12/a2);
395  sigma=(c+d*d)/(1.+r/p4)+(gg+e*std::exp(-ss*P))/(1.+h/p4/p4);
396  }
397  else
398  {
399  G4cerr<<"-Warning-G4QProtonNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
400  sigma=0.;
401  }
402  if(sigma<0.) return 0.;
403  return sigma;
404 }
405 
406 G4double G4ChipsProtonInelasticXS::EquLinearFit(G4double X, G4int N, G4double X0, G4double DX, G4double* Y)
407 {
408  if(DX<=0. || N<2)
409  {
410  G4cerr<<"***G4ChipsProtonInelasticXS::EquLinearFit: DX="<<DX<<", N="<<N<<G4endl;
411  return Y[0];
412  }
413 
414  G4int N2=N-2;
415  G4double d=(X-X0)/DX;
416  G4int j=static_cast<int>(d);
417  if (j<0) j=0;
418  else if(j>N2) j=N2;
419  d-=j; // excess
420  G4double yi=Y[j];
421  G4double sigma=yi+(Y[j+1]-yi)*d;
422 
423  return sigma;
424 }
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