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G4QNuNuNuclearCrossSection.cc
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27 // $Id$
28 //
29 //
30 // G4 Physics class: G4QNuNuNuclearCrossSection for (nu,nu)A cross sections
31 // Created: M.V. Kossov, CERN/ITEP(Moscow), 10-OCT-01
32 // The last update: M.V. Kossov, CERN/ITEP (Moscow) 17-Oct-03
33 //
34 // ****************************************************************************************
35 // ********** This CLASS is temporary moved from the photolepton_hadron directory *********
36 // ******* DO NOT MAKE ANY CHANGE! With time it'll move back to photolepton...(M.K.) ******
37 // ****************************************************************************************
38 // -----------------------------------------------------------
39 // Short description: Neutral Current nu -> nu nuclear XS
40 // -----------------------------------------------------------
41 
42 //#define debug
43 //#define edebug
44 //#define pdebug
45 //#define ppdebug
46 //#define tdebug
47 //#define sdebug
48 
49 #include "G4QNuNuNuclearCrossSection.hh"
50 #include "G4SystemOfUnits.hh"
51 
52 // Initialization of the
53 G4bool G4QNuNuNuclearCrossSection::onlyCS=true;// Flag to calculate only CS (not QE)
54 G4double G4QNuNuNuclearCrossSection::lastSig=0.;// Last calculated total cross section
55 G4double G4QNuNuNuclearCrossSection::lastQEL=0.;// Last calculated quasi-el. cross section
56 G4int G4QNuNuNuclearCrossSection::lastL=0; // Last used in cross section TheLastBin
57 G4double G4QNuNuNuclearCrossSection::lastE=0.; // Last used in cross section TheEnergy
58 G4double* G4QNuNuNuclearCrossSection::lastEN=0; // Pointer to the Energy Scale of TX & QE
59 G4double* G4QNuNuNuclearCrossSection::lastTX=0; // Pointer to the LastArray of TX function
60 G4double* G4QNuNuNuclearCrossSection::lastQE=0; // Pointer to the LastArray of QE function
61 G4int G4QNuNuNuclearCrossSection::lastPDG=0; // The last PDG code of the projectile
62 G4int G4QNuNuNuclearCrossSection::lastN=0; // The last N of calculated nucleus
63 G4int G4QNuNuNuclearCrossSection::lastZ=0; // The last Z of calculated nucleus
64 G4double G4QNuNuNuclearCrossSection::lastP=0.; // Last used in cross section Momentum
65 G4double G4QNuNuNuclearCrossSection::lastTH=0.; // Last threshold momentum
66 G4double G4QNuNuNuclearCrossSection::lastCS=0.; // Last value of the Cross Section
67 G4int G4QNuNuNuclearCrossSection::lastI=0; // The last position in the DAMDB
68 std::vector<G4double*>* G4QNuNuNuclearCrossSection::TX = new std::vector<G4double*>;
69 std::vector<G4double*>* G4QNuNuNuclearCrossSection::QE = new std::vector<G4double*>;
70 
71 // Returns Pointer to the G4VQCrossSection class
72 G4VQCrossSection* G4QNuNuNuclearCrossSection::GetPointer()
73 {
74  static G4QNuNuNuclearCrossSection theCrossSection; //**Static body of the Cross Section**
75  return &theCrossSection;
76 }
77 
78 G4QNuNuNuclearCrossSection::~G4QNuNuNuclearCrossSection()
79 {
80  G4int lens=TX->size();
81  for(G4int i=0; i<lens; ++i) delete[] (*TX)[i];
82  delete TX;
83  G4int hens=QE->size();
84  for(G4int i=0; i<hens; ++i) delete[] (*QE)[i];
85  delete QE;
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 G4QNuNuNuclearCrossSection::GetCrossSection(G4bool fCS, G4double pMom,
91  G4int tgZ, G4int tgN, G4int pPDG)
92 {
93  static G4int j; // A#0f records found in DB for this projectile
94  static std::vector <G4int> colPDG;// Vector of the projectile PDG code
95  static std::vector <G4int> colN; // Vector of N for calculated nuclei (isotops)
96  static std::vector <G4int> colZ; // Vector of Z for calculated nuclei (isotops)
97  static std::vector <G4double> colP; // Vector of last momenta for the reaction
98  static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction
99  static std::vector <G4double> colCS; // Vector of last cross sections for the reaction
100  // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---***
101  G4double pEn=pMom;
102 #ifdef debug
103  G4cout<<"G4QNMNCS::GetCS:>> f="<<fCS<<", p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="<<tgN
104  <<"("<<lastN<<"),PDG="<<pPDG<<"("<<lastPDG<<"), T="<<pEn<<"("<<lastTH<<")"<<",Sz="
105  <<colN.size()<<G4endl;
106  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
107 #endif
108  if(pPDG!=14)
109  {
110 #ifdef pdebug
111  G4cout<<"G4QNMNCS::GetCS: *** Found pPDG="<<pPDG<<" =--=> CS=0"<<G4endl;
112  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
113 #endif
114  return 0.; // projectile PDG=0 is a mistake (?!) @@
115  }
116  G4bool in=false; // By default the isotope must be found in the AMDB
117  if(tgN!=lastN || tgZ!=lastZ || pPDG!=lastPDG)// The nucleus was not the last used isotope
118  {
119  in = false; // By default the isotope haven't be found in AMDB
120  lastP = 0.; // New momentum history (nothing to compare with)
121  lastPDG = pPDG; // The last PDG of the projectile
122  lastN = tgN; // The last N of the calculated nucleus
123  lastZ = tgZ; // The last Z of the calculated nucleus
124  lastI = colN.size(); // Size of the Associative Memory DB in the heap
125  j = 0; // A#0f records found in DB for this projectile
126  if(lastI) for(G4int i=0; i<lastI; i++) if(colPDG[i]==pPDG) // The partType is found
127  { // The nucleus with projPDG is found in AMDB
128  if(colN[i]==tgN && colZ[i]==tgZ)
129  {
130  lastI=i;
131  lastTH =colTH[i]; // Last THreshold (A-dependent)
132 #ifdef pdebug
133  G4cout<<"G4QNMNCS::GetCS:*Found*P="<<pMom<<",Threshold="<<lastTH<<",j="<<j<<G4endl;
134  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
135 #endif
136  if(pEn<=lastTH)
137  {
138 #ifdef pdebug
139  G4cout<<"G4QNMNCS::GetCS:Found T="<<pEn<<" < Threshold="<<lastTH<<",X=0"<<G4endl;
140  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
141 #endif
142  return 0.; // Energy is below the Threshold value
143  }
144  lastP =colP [i]; // Last Momentum (A-dependent)
145  lastCS =colCS[i]; // Last CrossSect (A-dependent)
146  if(std::fabs(lastP/pMom-1.)<tolerance)
147  {
148 #ifdef pdebug
149  G4cout<<"G4QNMNCS::GetCS:P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
150  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
151 #endif
152  return lastCS*millibarn; // Use theLastCS
153  }
154  in = true; // This is the case when the isotop is found in DB
155  // Momentum pMom is in IU ! @@ Units
156 #ifdef pdebug
157  G4cout<<"G4QNMNCS::G:UpdaDB P="<<pMom<<",f="<<fCS<<",lI="<<lastI<<",j="<<j<<G4endl;
158 #endif
159  lastCS=CalculateCrossSection(fCS,-1,j,lastPDG,lastZ,lastN,pMom); // read & update
160 #ifdef pdebug
161  G4cout<<"G4QNMNCS::GetCrosSec: *****> New (inDB) Calculated CS="<<lastCS<<G4endl;
162  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
163 #endif
164  if(lastCS<=0. && pEn>lastTH) // Correct the threshold
165  {
166 #ifdef pdebug
167  G4cout<<"G4QNMNCS::GetCS: New T="<<pEn<<"(CS=0) > Threshold="<<lastTH<<G4endl;
168 #endif
169  lastTH=pEn;
170  }
171  break; // Go out of the LOOP
172  }
173 #ifdef pdebug
174  G4cout<<"---G4QNMNCrossSec::GetCrosSec:pPDG="<<pPDG<<",j="<<j<<",N="<<colN[i]
175  <<",Z["<<i<<"]="<<colZ[i]<<",cPDG="<<colPDG[i]<<G4endl;
176  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
177 #endif
178  j++; // Increment a#0f records found in DB for this pPDG
179  }
180  if(!in) // This nucleus has not been calculated previously
181  {
182 #ifdef pdebug
183  G4cout<<"G4QNMNCS::GetCrSec: CalcNew P="<<pMom<<",f="<<fCS<<",lastI="<<lastI<<G4endl;
184 #endif
185  lastCS=CalculateCrossSection(fCS,0,j,lastPDG,lastZ,lastN,pMom); //calculate & create
187  if(lastCS<=0.)
188  {
189  lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
190 #ifdef pdebug
191  G4cout<<"G4QNMNCrossSection::GetCrossSect:NewThresh="<<lastTH<<",T="<<pEn<<G4endl;
192 #endif
193  if(pEn>lastTH)
194  {
195 #ifdef pdebug
196  G4cout<<"G4QNMNCS::GetCS: First T="<<pEn<<"(CS=0) > Threshold="<<lastTH<<G4endl;
197 #endif
198  lastTH=pEn;
199  }
200  }
201 #ifdef pdebug
202  G4cout<<"G4QNMNCS::GetCrosSec:New CS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl;
203  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
204 #endif
205  colN.push_back(tgN);
206  colZ.push_back(tgZ);
207  colPDG.push_back(pPDG);
208  colP.push_back(pMom);
209  colTH.push_back(lastTH);
210  colCS.push_back(lastCS);
211 #ifdef pdebug
212  G4cout<<"G4QNMNCS::GetCS:1st,P="<<pMom<<"(MeV),X="<<lastCS*millibarn<<"(mb)"<<G4endl;
213  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
214 #endif
215  return lastCS*millibarn;
216  } // End of creation of the new set of parameters
217  else
218  {
219 #ifdef pdebug
220  G4cout<<"G4QNMNCS::GetCS: Update lastI="<<lastI<<",j="<<j<<G4endl;
221 #endif
222  colP[lastI]=pMom;
223  colPDG[lastI]=pPDG;
224  colCS[lastI]=lastCS;
225  }
226  } // End of parameters udate
227  else if(pEn<=lastTH)
228  {
229 #ifdef pdebug
230  G4cout<<"G4QNMNCS::GetCS: Current T="<<pEn<<" < Threshold="<<lastTH<<", CS=0"<<G4endl;
231  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
232 #endif
233  return 0.; // Momentum is below the Threshold Value -> CS=0
234  }
235  else if(std::fabs(lastP/pMom-1.)<tolerance)
236  {
237 #ifdef pdebug
238  G4cout<<"G4QNMNCS::GetCS:OldCur P="<<pMom<<"="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
239  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
240 #endif
241  return lastCS*millibarn; // Use theLastCS
242  }
243  else
244  {
245 #ifdef pdebug
246  G4cout<<"G4QNMNCS::GetCS:UpdaCur P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl;
247 #endif
248  lastCS=CalculateCrossSection(fCS,1,j,lastPDG,lastZ,lastN,pMom); // Only UpdateDB
249  lastP=pMom;
250  }
251 #ifdef pdebug
252  G4cout<<"G4QNMNCS::GetCrSec:End,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
253  //CalculateCrossSection(fCS,-27,j,lastPDG,lastZ,lastN,pMom); // DUMMY TEST
254 #endif
255  return lastCS*millibarn;
256 }
257 
258 // Gives the threshold energy = the same for all nuclei (@@ can be reduced for hevy nuclei)
259 G4double G4QNuNuNuclearCrossSection::ThresholdEnergy(G4int, G4int, G4int) {return 0.;}
260 
261 // The main member function giving the gamma-A cross section (E_kin in MeV, CS in mb)
262 G4double G4QNuNuNuclearCrossSection::CalculateCrossSection(G4bool CS, G4int F, G4int I,
263  G4int, G4int targZ, G4int targN, G4double Momentum)
264 {
265  static const G4double mb38=1.E-11; // Conversion 10^-38 cm^2 to mb=10^-27 cm^2
266  static const G4int nE=65; // !! If change this, change it in GetFunctions() (*.hh) !!
267  static const G4int mL=nE-1;
268  static const G4double EMi=0.; // Universal threshold of the reaction in GeV
269  static const G4double EMa=300.; // Maximum tabulated Energy of nu_mu in GeV
270  // *** Begin of the Associative memory for acceleration of the cross section calculations
271  static std::vector <G4double> colH;//?? Vector of HighEnergyCoefficients (functional)
272  static G4bool first=true; // Flag of initialization of the energy axis
273  // *** End of Static Definitions (Associative Memory) ***
274  //const G4double Energy = aPart->GetKineticEnergy()/MeV; // Energy of the Muon
275  //G4double TotEnergy2=Momentum;
276  onlyCS=CS; // Flag to calculate only CS (not TX & QE)
277  lastE=Momentum/GeV; // Kinetic energy of the muon neutrino (in GeV!)
278  if (lastE<=EMi) // Energy is below the minimum energy in the table
279  {
280  lastE=0.;
281  lastSig=0.;
282  return 0.;
283  }
284  G4int Z=targZ; // New Z, which can change the sign
285  if(F<=0) // This isotope was not the last used isotop
286  {
287  if(F<0) // This isotope was found in DAMDB =-------=> RETRIEVE
288  {
289  lastTX =(*TX)[I]; // Pointer to the prepared TX function (same isotope)
290  lastQE =(*QE)[I]; // Pointer to the prepared QE function (same isotope)
291  }
292  else // This isotope wasn't calculated previously => CREATE
293  {
294  if(first)
295  {
296  lastEN = new G4double[nE]; // This must be done only once!
297  Z=-Z; // To explain GetFunctions that E-axis must be filled
298  first=false; // To make it only once
299  }
300  lastTX = new G4double[nE]; // Allocate memory for the new TX function
301  lastQE = new G4double[nE]; // Allocate memory for the new QE function
302  G4int res=GetFunctions(Z,targN,lastTX,lastQE,lastEN);//@@analize(0=first,-1=bad,1=OK)
303  if(res<0) G4cerr<<"*W*G4NuMuNuclearCS::CalcCrossSect:Bad Function Retrieve"<<G4endl;
304  // *** The synchronization check ***
305  G4int sync=TX->size();
306  if(sync!=I) G4cerr<<"***G4NuMuNuclearCS::CalcCrossSect:Sync.="<<sync<<"#"<<I<<G4endl;
307  TX->push_back(lastTX);
308  QE->push_back(lastQE);
309  } // End of creation of the new set of parameters
310  } // End of parameters udate
311  // =-------------= NOW Calculate the Cross Section =---------------------=
312  if (lastE<=EMi) // Check that the neutrinoEnergy is higher than ThreshE
313  {
314  lastE=0.;
315  lastSig=0.;
316  return 0.;
317  }
318  if(lastE<EMa) // Linear fit is made explicitly to fix the last bin for the randomization
319  {
320  G4int chk=1;
321  G4int ran=mL/2;
322  G4int sep=ran; // as a result = an index of the left edge of the interval
323  while(ran>=2)
324  {
325  G4int newran=ran/2;
326  if(lastE<=lastEN[sep]) sep-=newran;
327  else sep+=newran;
328  ran=newran;
329  chk=chk+chk;
330  }
331  if(chk+chk!=mL) G4cerr<<"*Warn*G4NuMuNuclearCS::CalcCS:Table! mL="<<mL<<G4endl;
332  G4double lowE=lastEN[sep];
333  G4double highE=lastEN[sep+1];
334  G4double lowTX=lastTX[sep];
335  if(lastE<lowE||sep>=mL||lastE>highE)
336  G4cerr<<"*Warn*G4NuMuNuclearCS::CalcCS:Bin! "<<lowE<<" < "<<lastE<<" < "<<highE
337  <<", sep="<<sep<<", mL="<<mL<<G4endl;
338  lastSig=lastE*(lastE-lowE)*(lastTX[sep+1]-lowTX)/(highE-lowE)+lowTX; // Recover *E
339  if(!onlyCS) // Skip the differential cross-section parameters
340  {
341  G4double lowQE=lastQE[sep];
342  lastQEL=(lastE-lowE)*(lastQE[sep+1]-lowQE)/(highE-lowE)+lowQE;
343 #ifdef pdebug
344  G4cout<<"G4NuMuNuclearCS::CalcCS: T="<<lastSig<<",Q="<<lastQEL<<",E="<<lastE<<G4endl;
345 #endif
346  }
347  }
348  else
349  {
350  lastSig=lastTX[mL]; // @@ No extrapolation, just a const, while it looks shrinking...
351  lastQEL=lastQE[mL];
352  }
353  if(lastQEL<0.) lastQEL = 0.;
354  if(lastSig<0.) lastSig = 0.;
355  // The cross-sections are expected to be in mb
356  lastSig*=mb38;
357  if(!onlyCS) lastQEL*=mb38;
358  return lastSig;
359 }
360 
361 // Calculate the cros-section functions
362 // ****************************************************************************************
363 // *** This tables are the same for all lepto-nuclear reactions, only mass is different ***
364 // ***@@ IT'S REASONABLE TO MAKE ADDiTIONAL VIRTUAL CLASS FOR LEPTO-NUCLEAR WITH THIS@@ ***
365 // ****************************************************************************************
366 G4int G4QNuNuNuclearCrossSection::GetFunctions(G4int z, G4int n,
367  G4double* t, G4double* q, G4double* e)
368 {
369  static const G4int nE=65; // !! If change this, change it in GetCrossSection() (*.cc) !!
370  static const G4double nuEn[nE]={0.,
371  1.00463e-5,1.05336e-5,1.10692e-5,1.16592e-5,1.23109e-5,1.30323e-5,1.38331e-5,1.47245e-5,
372  1.57194e-5,1.68335e-5,1.80848e-5,1.94948e-5,2.10894e-5,2.28991e-5,2.49608e-5,2.73189e-5,
373  3.00273e-5,3.31516e-5,3.67722e-5,4.09881e-5,4.59217e-5,5.17255e-5,5.85908e-5,6.67583e-5,
374  7.65338e-5,8.83078e-5,.000102583,.000120011,.000141441,.000167995,.000201160,.000242926,
375  .000295985,.000364008,.000452051,.000567152,.000719210,.000922307,.001196710,.001571930,
376  .002091530,.002820590,.003857810,.005354930,.007548840,.010815300,.015760100,.023376900,
377  .035325600,.054430800,.085595700,.137508000,.225898000,.379892000,.654712000,1.15767000,
378  2.10277000,3.92843000,7.55861000,14.9991000,30.7412000,65.1734000,143.155000,326.326000};
379  static const G4double TOTX[nE]={0.,
380  3.18319e-5,3.33759e-5,3.50729e-5,3.69425e-5,3.90071e-5,4.12928e-5,4.38300e-5,4.66541e-5,
381  4.98065e-5,5.33360e-5,5.73004e-5,6.17678e-5,6.68196e-5,7.25529e-5,7.90845e-5,8.65551e-5,
382  9.51355e-5,.000105033,.000116503,.000129858,.000145486,.000163871,.000185616,.000211484,
383  .000242444,.000279730,.000324932,.000380110,.000447953,.000531999,.000636946,.000769076,
384  .000936873,.001151900,.001430050,.001793410,.002272980,.002912690,.003775490,.004952530,
385  .006577150,.008846400,.012054100,.017404800,.027443300,.040285600,.058251500,.084054600,
386  .121309000,.173273000,.240200000,.312865000,.367478000,.379071000,.348461000,.301143000,
387  .259802000,.231449000,.214007000,.203827000,.198265000,.195186000,.192821000,.190555000};
388  static const G4double QELX[nE]={0.,
389  .319793e-9,.351567e-9,.388228e-9,.430721e-9,.480212e-9,.538141e-9,.606306e-9,.686956e-9,
390  .782930e-9,.897832e-9,1.03626e-9,1.20415e-9,1.40918e-9,1.66139e-9,1.97401e-9,2.36458e-9,
391  2.85666e-9,3.48202e-9,4.28408e-9,5.32264e-9,6.68098e-9,8.47630e-9,1.08754e-8,1.41183e-8,
392  1.85552e-8,2.47023e-8,3.33325e-8,4.56172e-8,6.33590e-8,8.93735e-8,1.28128e-7,1.86829e-7,
393  2.77301e-7,4.19300e-7,6.46455e-7,1.01714e-6,1.63475e-6,2.68640e-6,4.51816e-6,7.78503e-6,
394  1.37563e-5,2.49521e-5,4.65025e-5,9.32015e-5,.000207165,.000435700,.000918046,.001964940,
395  .004285300,.009431390,.020560100,.043021600,.083012600,.142280000,.194239000,.222213000,
396  .231903000,.234030000,.234691000,.235204000,.235575000,.235793000,.235902000,.235946000};
397  // --------------------------------
398  G4int first=0;
399  if(z<0.)
400  {
401  first=1;
402  z=-z;
403  }
404  if(z<1 || z>92) // neutron and plutonium are forbidden
405  {
406  G4cout<<"***G4QNuNuNuclearCrossSection::GetFunctions:Z="<<z<<".No CS returned"<<G4endl;
407  return -1;
408  }
409  for(G4int k=0; k<nE; k++)
410  {
411  G4double a=n+z;
412  G4double na=n+a;
413  G4double dn=n+n;
414  G4double da=a+a;
415  G4double ta=da+a;
416  if(first) e[k]=nuEn[k]; // Energy of neutrino E (first bin k=0 can be modified)
417  t[k]=TOTX[k]*nuEn[k]*(na+na)/ta+QELX[k]*(dn+dn-da)/ta; // TotalCrossSection
418  q[k]=QELX[k]*dn/a; // QuasiElasticCrossSection
419  }
420  return first;
421 }
422 
423 // Randomize Q2 from neutrino to the scattered muon when the scattering is quasi-elastic
424 G4double G4QNuNuNuclearCrossSection::GetQEL_ExchangeQ2()
425 {
426  static const double MN=.931494043; // Nucleon mass (inside nucleus, atomicMassUnit,GeV)
427  static const G4double power=-3.5; // direct power for the magic variable
428  static const G4double pconv=1./power;// conversion power for the magic variable
429  static const G4int nQ2=101; // #Of point in the Q2l table (in GeV^2)
430  static const G4int lQ2=nQ2-1; // index of the last in the Q2l table
431  static const G4int bQ2=lQ2-1; // index of the before last in the Q2 ltable
432  // Reversed table
433  static const G4double Xl[nQ2]={1.87905e-10,
434  .005231, .010602, .016192, .022038, .028146, .034513, .041130, .047986, .055071, .062374,
435  .069883, .077587, .085475, .093539, .101766, .110150, .118680, .127348, .136147, .145069,
436  .154107, .163255, .172506, .181855, .191296, .200825, .210435, .220124, .229886, .239718,
437  .249617, .259578, .269598, .279675, .289805, .299986, .310215, .320490, .330808, .341169,
438  .351568, .362006, .372479, .382987, .393527, .404099, .414700, .425330, .435987, .446670,
439  .457379, .468111, .478866, .489643, .500441, .511260, .522097, .532954, .543828, .554720,
440  .565628, .576553, .587492, .598447, .609416, .620398, .631394, .642403, .653424, .664457,
441  .675502, .686557, .697624, .708701, .719788, .730886, .741992, .753108, .764233, .775366,
442  .786508, .797658, .808816, .819982, .831155, .842336, .853524, .864718, .875920, .887128,
443  .898342, .909563, .920790, .932023, .943261, .954506, .965755, .977011, .988271, .999539};
444  // Direct table
445  static const G4double Xmax=Xl[lQ2];
446  static const G4double Xmin=Xl[0];
447  static const G4double dX=(Xmax-Xmin)/lQ2; // step in X(Q2, GeV^2)
448  static const G4double inl[nQ2]={0,
449  1.88843, 3.65455, 5.29282, 6.82878, 8.28390, 9.67403, 11.0109, 12.3034, 13.5583, 14.7811,
450  15.9760, 17.1466, 18.2958, 19.4260, 20.5392, 21.6372, 22.7215, 23.7933, 24.8538, 25.9039,
451  26.9446, 27.9766, 29.0006, 30.0171, 31.0268, 32.0301, 33.0274, 34.0192, 35.0058, 35.9876,
452  36.9649, 37.9379, 38.9069, 39.8721, 40.8337, 41.7920, 42.7471, 43.6992, 44.6484, 45.5950,
453  46.5390, 47.4805, 48.4197, 49.3567, 50.2916, 51.2245, 52.1554, 53.0846, 54.0120, 54.9377,
454  55.8617, 56.7843, 57.7054, 58.6250, 59.5433, 60.4603, 61.3761, 62.2906, 63.2040, 64.1162,
455  65.0274, 65.9375, 66.8467, 67.7548, 68.6621, 69.5684, 70.4738, 71.3784, 72.2822, 73.1852,
456  74.0875, 74.9889, 75.8897, 76.7898, 77.6892, 78.5879, 79.4860, 80.3835, 81.2804, 82.1767,
457  83.0724, 83.9676, 84.8622, 85.7563, 86.6499, 87.5430, 88.4356, 89.3277, 90.2194, 91.1106,
458  92.0013, 92.8917, 93.7816, 94.6711, 95.5602, 96.4489, 97.3372, 98.2252, 99.1128, 100.000};
459  G4double Enu=lastE; // Get energy of the last calculated cross-section
460  G4double dEnu=Enu+Enu; // doubled energy of nu/anu
461  G4double Enu2=Enu*Enu; // squared energy of nu/anu
462  G4double ME=Enu*MN; // M*E
463  G4double dME=ME+ME; // 2*M*E
464  G4double dEMN=(dEnu+MN)*ME;
465  G4double sqE=Enu*ME;
466  G4double E2M=MN*Enu2;
467  G4double ymax=(E2M+sqE)/dEMN;
468  G4double Q2mi=0; // Q2_min(E_nu)
469  G4double Q2ma=dME*ymax; // Q2_max(E_nu)
470  G4double Xma=std::pow((1.+Q2mi),power); // X_max(E_nu)
471  G4double Xmi=std::pow((1.+Q2ma),power); // X_min(E_nu)
472  // Find the integral values integ(Xmi) & integ(Xma) using the direct table
473  G4double rXi=(Xmi-Xmin)/dX;
474  G4int iXi=static_cast<int>(rXi);
475  if(iXi<0) iXi=0;
476  if(iXi>bQ2) iXi=bQ2;
477  G4double dXi=rXi-iXi;
478  G4double bnti=inl[iXi];
479  G4double inti=bnti+dXi*(inl[iXi+1]-bnti);
480  //
481  G4double rXa=(Xma-Xmin)/dX;
482  G4int iXa=static_cast<int>(rXa);
483  if(iXa<0) iXa=0;
484  if(iXa>bQ2) iXa=bQ2;
485  G4double dXa=rXa-iXa;
486  G4double bnta=inl[iXa];
487  G4double inta=bnta+dXa*(inl[iXa+1]-bnta);
488  // *** Find X using the reversed table ***
489  G4double intx=inti+(inta-inti)*G4UniformRand();
490  G4int intc=static_cast<int>(intx);
491  if(intc<0) intc=0;
492  if(intc>bQ2) intc=bQ2; // If it is more than max, then the BAD extrapolation
493  G4double dint=intx-intc;
494  G4double mX=Xl[intc];
495  G4double X=mX+dint*(Xl[intc+1]-mX);
496  G4double Q2=std::pow(X,pconv)-1.;
497  return Q2*GeV*GeV;
498 }
499 
500 // Randomize Q2 from neutrino to the scattered muon when the scattering is not quasiElastic
501 G4double G4QNuNuNuclearCrossSection::GetNQE_ExchangeQ2()
502 {
503  static const double mpi=.13957018; // charged pi meson mass in GeV
504  static const double MN=.931494043; // Nucleon mass (inside nucleus,atomicMassUnit,GeV)
505  static const double dMN=MN+MN; // 2*M_N in GeV
506  static const double mcV=(dMN+mpi)*mpi;// constant of W>M+mc cut for Quasi-Elastic
507  static const G4int power=7; // direct power for the magic variable
508  static const G4double pconv=1./power; // conversion power for the magic variable
509  static const G4int nX=21; // #Of point in the Xl table (in GeV^2)
510  static const G4int lX=nX-1; // index of the last in the Xl table
511  static const G4int bX=lX-1; // @@ index of the before last in the Xl table
512  static const G4int nE=20; // #Of point in the El table (in GeV^2)
513  static const G4int bE=nE-1; // index of the last in the El table
514  static const G4int pE=bE-1; // index of the before last in the El table
515  // Reversed table
516  static const G4double X0[nX]={6.14081e-05,
517  .413394, .644455, .843199, 1.02623, 1.20032, 1.36916, 1.53516, 1.70008, 1.86539, 2.03244,
518  2.20256, 2.37723, 2.55818, 2.74762, 2.94857, 3.16550, 3.40582, 3.68379, 4.03589, 4.77419};
519  static const G4double X1[nX]={.00125268,
520  .861178, 1.34230, 1.75605, 2.13704, 2.49936, 2.85072, 3.19611, 3.53921, 3.88308, 4.23049,
521  4.58423, 4.94735, 5.32342, 5.71700, 6.13428, 6.58447, 7.08267, 7.65782, 8.38299, 9.77330};
522  static const G4double X2[nX]={.015694,
523  1.97690, 3.07976, 4.02770, 4.90021, 5.72963, 6.53363, 7.32363, 8.10805, 8.89384, 9.68728,
524  10.4947, 11.3228, 12.1797, 13.0753, 14.0234, 15.0439, 16.1692, 17.4599, 19.0626, 21.7276};
525  static const G4double X3[nX]={.0866877,
526  4.03498, 6.27651, 8.20056, 9.96931, 11.6487, 13.2747, 14.8704, 16.4526, 18.0351, 19.6302,
527  21.2501, 22.9075, 24.6174, 26.3979, 28.2730, 30.2770, 32.4631, 34.9243, 37.8590, 41.9115};
528  static const G4double X4[nX]={.160483,
529  5.73111, 8.88884, 11.5893, 14.0636, 16.4054, 18.6651, 20.8749, 23.0578, 25.2318, 27.4127,
530  29.6152, 31.8540, 34.1452, 36.5074, 38.9635, 41.5435, 44.2892, 47.2638, 50.5732, 54.4265};
531  static const G4double X5[nX]={.0999307,
532  5.25720, 8.11389, 10.5375, 12.7425, 14.8152, 16.8015, 18.7296, 20.6194, 22.4855, 24.3398,
533  26.1924, 28.0527, 29.9295, 31.8320, 33.7699, 35.7541, 37.7975, 39.9158, 42.1290, 44.4649};
534  static const G4double X6[nX]={.0276367,
535  3.53378, 5.41553, 6.99413, 8.41629, 9.74057, 10.9978, 12.2066, 13.3796, 14.5257, 15.6519,
536  16.7636, 17.8651, 18.9603, 20.0527, 21.1453, 22.2411, 23.3430, 24.4538, 25.5765, 26.7148};
537  static const G4double X7[nX]={.00472383,
538  2.08253, 3.16946, 4.07178, 4.87742, 5.62140, 6.32202, 6.99034, 7.63368, 8.25720, 8.86473,
539  9.45921, 10.0430, 10.6179, 11.1856, 11.7475, 12.3046, 12.8581, 13.4089, 13.9577, 14.5057};
540  static const G4double X8[nX]={.000630783,
541  1.22723, 1.85845, 2.37862, 2.84022, 3.26412, 3.66122, 4.03811, 4.39910, 4.74725, 5.08480,
542  5.41346, 5.73457, 6.04921, 6.35828, 6.66250, 6.96250, 7.25884, 7.55197, 7.84232, 8.13037};
543  static const G4double X9[nX]={7.49179e-05,
544  .772574, 1.16623, 1.48914, 1.77460, 2.03586, 2.27983, 2.51069, 2.73118, 2.94322, 3.14823,
545  3.34728, 3.54123, 3.73075, 3.91638, 4.09860, 4.27779, 4.45428, 4.62835, 4.80025, 4.97028};
546  static const G4double XA[nX]={8.43437e-06,
547  .530035, .798454, 1.01797, 1.21156, 1.38836, 1.55313, 1.70876, 1.85712, 1.99956, 2.13704,
548  2.27031, 2.39994, 2.52640, 2.65007, 2.77127, 2.89026, 3.00726, 3.12248, 3.23607, 3.34823};
549  static const G4double XB[nX]={9.27028e-07,
550  .395058, .594211, .756726, .899794, 1.03025, 1.15167, 1.26619, 1.37523, 1.47979, 1.58059,
551  1.67819, 1.77302, 1.86543, 1.95571, 2.04408, 2.13074, 2.21587, 2.29960, 2.38206, 2.46341};
552  static const G4double XC[nX]={1.00807e-07,
553  .316195, .474948, .604251, .717911, .821417, .917635, 1.00829, 1.09452, 1.17712, 1.25668,
554  1.33364, 1.40835, 1.48108, 1.55207, 1.62150, 1.68954, 1.75631, 1.82193, 1.88650, 1.95014};
555  static const G4double XD[nX]={1.09102e-08,
556  .268227, .402318, .511324, .606997, .694011, .774803, .850843, .923097, .992243, 1.05878,
557  1.12309, 1.18546, 1.24613, 1.30530, 1.36313, 1.41974, 1.47526, 1.52978, 1.58338, 1.63617};
558  static const G4double XE[nX]={1.17831e-09,
559  .238351, .356890, .453036, .537277, .613780, .684719, .751405, .814699, .875208, .933374,
560  .989535, 1.04396, 1.09685, 1.14838, 1.19870, 1.24792, 1.29615, 1.34347, 1.38996, 1.43571};
561  static const G4double XF[nX]={1.27141e-10,
562  .219778, .328346, .416158, .492931, .562525, .626955, .687434, .744761, .799494, .852046,
563  .902729, .951786, .999414, 1.04577, 1.09099, 1.13518, 1.17844, 1.22084, 1.26246, 1.30338};
564  static const G4double XG[nX]={1.3713e-11,
565  .208748, .310948, .393310, .465121, .530069, .590078, .646306, .699515, .750239, .798870,
566  .845707, .890982, .934882, .977559, 1.01914, 1.05973, 1.09941, 1.13827, 1.17637, 1.21379};
567  static const G4double XH[nX]={1.47877e-12,
568  .203089, .301345, .380162, .448646, .510409, .567335, .620557, .670820, .718647, .764421,
569  .808434, .850914, .892042, .931967, .970812, 1.00868, 1.04566, 1.08182, 1.11724, 1.15197};
570  static const G4double XI[nX]={1.59454e-13,
571  .201466, .297453, .374007, .440245, .499779, .554489, .605506, .653573, .699213, .742806,
572  .784643, .824952, .863912, .901672, .938353, .974060, 1.00888, 1.04288, 1.07614, 1.10872};
573  static const G4double XJ[nX]={1.71931e-14,
574  .202988, .297870, .373025, .437731, .495658, .548713, .598041, .644395, .688302, .730147,
575  .770224, .808762, .845943, .881916, .916805, .950713, .983728, 1.01592, 1.04737, 1.07813};
576  // Direct table
577  static const G4double Xmin[nE]={X0[0],X1[0],X2[0],X3[0],X4[0],X5[0],X6[0],X7[0],X8[0],
578  X9[0],XA[0],XB[0],XC[0],XD[0],XE[0],XF[0],XG[0],XH[0],XI[0],XJ[0]};
579  static const G4double dX[nE]={
580  (X0[lX]-X0[0])/lX, (X1[lX]-X1[0])/lX, (X2[lX]-X2[0])/lX, (X3[lX]-X3[0])/lX,
581  (X4[lX]-X4[0])/lX, (X5[lX]-X5[0])/lX, (X6[lX]-X6[0])/lX, (X7[lX]-X7[0])/lX,
582  (X8[lX]-X8[0])/lX, (X9[lX]-X9[0])/lX, (XA[lX]-XA[0])/lX, (XB[lX]-XB[0])/lX,
583  (XC[lX]-XC[0])/lX, (XD[lX]-XD[0])/lX, (XE[lX]-XE[0])/lX, (XF[lX]-XF[0])/lX,
584  (XG[lX]-XG[0])/lX, (XH[lX]-XH[0])/lX, (XI[lX]-XI[0])/lX, (XJ[lX]-XJ[0])/lX};
585  static const G4double* Xl[nE]=
586  {X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,XA,XB,XC,XD,XE,XF,XG,XH,XI,XJ};
587  static const G4double I0[nX]={0,
588  .411893, 1.25559, 2.34836, 3.60264, 4.96046, 6.37874, 7.82342, 9.26643, 10.6840, 12.0555,
589  13.3628, 14.5898, 15.7219, 16.7458, 17.6495, 18.4217, 19.0523, 19.5314, 19.8501, 20.0000};
590  static const G4double I1[nX]={0,
591  .401573, 1.22364, 2.28998, 3.51592, 4.84533, 6.23651, 7.65645, 9.07796, 10.4780, 11.8365,
592  13.1360, 14.3608, 15.4967, 16.5309, 17.4516, 18.2481, 18.9102, 19.4286, 19.7946, 20.0000};
593  static const G4double I2[nX]={0,
594  .387599, 1.17339, 2.19424, 3.37090, 4.65066, 5.99429, 7.37071, 8.75427, 10.1232, 11.4586,
595  12.7440, 13.9644, 15.1065, 16.1582, 17.1083, 17.9465, 18.6634, 19.2501, 19.6982, 20.0000};
596  static const G4double I3[nX]={0,
597  .366444, 1.09391, 2.04109, 3.13769, 4.33668, 5.60291, 6.90843, 8.23014, 9.54840, 10.8461,
598  12.1083, 13.3216, 14.4737, 15.5536, 16.5512, 17.4573, 18.2630, 18.9603, 19.5417, 20.0000};
599  static const G4double I4[nX]={0,
600  .321962, .959681, 1.79769, 2.77753, 3.85979, 5.01487, 6.21916, 7.45307, 8.69991, 9.94515,
601  11.1759, 12.3808, 13.5493, 14.6720, 15.7402, 16.7458, 17.6813, 18.5398, 19.3148, 20.0000};
602  static const G4double I5[nX]={0,
603  .257215, .786302, 1.49611, 2.34049, 3.28823, 4.31581, 5.40439, 6.53832, 7.70422, 8.89040,
604  10.0865, 11.2833, 12.4723, 13.6459, 14.7969, 15.9189, 17.0058, 18.0517, 19.0515, 20.0000};
605  static const G4double I6[nX]={0,
606  .201608, .638914, 1.24035, 1.97000, 2.80354, 3.72260, 4.71247, 5.76086, 6.85724, 7.99243,
607  9.15826, 10.3474, 11.5532, 12.7695, 13.9907, 15.2117, 16.4275, 17.6337, 18.8258, 20.0000};
608  static const G4double I7[nX]={0,
609  .168110, .547208, 1.07889, 1.73403, 2.49292, 3.34065, 4.26525, 5.25674, 6.30654, 7.40717,
610  8.55196, 9.73492, 10.9506, 12.1940, 13.4606, 14.7460, 16.0462, 17.3576, 18.6767, 20.0000};
611  static const G4double I8[nX]={0,
612  .150652, .497557, .990048, 1.60296, 2.31924, 3.12602, 4.01295, 4.97139, 5.99395, 7.07415,
613  8.20621, 9.38495, 10.6057, 11.8641, 13.1561, 14.4781, 15.8267, 17.1985, 18.5906, 20.0000};
614  static const G4double I9[nX]={0,
615  .141449, .470633, .941304, 1.53053, 2.22280, 3.00639, 3.87189, 4.81146, 5.81837, 6.88672,
616  8.01128, 9.18734, 10.4106, 11.6772, 12.9835, 14.3261, 15.7019, 17.1080, 18.5415, 20.0000};
617  static const G4double IA[nX]={0,
618  .136048, .454593, .912075, 1.48693, 2.16457, 2.93400, 3.78639, 4.71437, 5.71163, 6.77265,
619  7.89252, 9.06683, 10.2916, 11.5631, 12.8780, 14.2331, .625500, 17.0525, 18.5115, 20.0000};
620  static const G4double IB[nX]={0,
621  .132316, .443455, .891741, 1.45656, 2.12399, 2.88352, 3.72674, 4.64660, 5.63711, 6.69298,
622  7.80955, 8.98262, 10.2084, 11.4833, 12.8042, 14.1681, 15.5721, 17.0137, 18.4905, 20.0000};
623  static const G4double IC[nX]={0,
624  .129197, .434161, .874795, 1.43128, 2.09024, 2.84158, 3.67721, 4.59038, 5.57531, 6.62696,
625  7.74084, 8.91291, 10.1395, 11.4173, 12.7432, 14.1143, 15.5280, 16.9817, 18.4731, 20.0000};
626  static const G4double ID[nX]={0,
627  .126079, .424911, .857980, 1.40626, 2.05689, 2.80020, 3.62840, 4.53504, 5.51456, 6.56212,
628  7.67342, 8.84458, 10.0721, 11.3527, 12.6836, 14.0618, 15.4849, 16.9504, 18.4562, 20.0000};
629  static const G4double IE[nX]={0,
630  .122530, .414424, .838964, 1.37801, 2.01931, 2.75363, 3.57356, 4.47293, 5.44644, 6.48949,
631  7.59795, 8.76815, 9.99673, 11.2806, 12.6170, 14.0032, 15.4369, 16.9156, 18.4374, 20.0000};
632  static const G4double IF[nX]={0,
633  .118199, .401651, .815838, 1.34370, 1.97370, 2.69716, 3.50710, 4.39771, 5.36401, 6.40164,
634  7.50673, 8.67581, 9.90572, 11.1936, 12.5367, 13.9326, 15.3790, 16.8737, 18.4146, 20.0000};
635  static const G4double IG[nX]={0,
636  .112809, .385761, .787075, 1.30103, 1.91700, 2.62697, 3.42451, 4.30424, 5.26158, 6.29249,
637  7.39341, 8.56112, 9.79269, 11.0855, 12.4369, 13.8449, 15.3071, 16.8216, 18.3865, 20.0000};
638  static const G4double IH[nX]={0,
639  .106206, .366267, .751753, 1.24859, 1.84728, 2.54062, 3.32285, .189160, 5.13543, 6.15804,
640  7.25377, 8.41975, 9.65334, 10.9521, 12.3139, 13.7367, 15.2184, 16.7573, 18.3517, 20.0000};
641  static const G4double II[nX]={0,
642  .098419, .343194, .709850, 1.18628, 1.76430, 2.43772, 3.20159, 4.05176, 4.98467, 5.99722,
643  7.08663, 8.25043, 9.48633, 10.7923, 12.1663, 13.6067, 15.1118, 16.6800, 18.3099, 20.0000};
644  static const G4double IJ[nX]={0,
645  .089681, .317135, .662319, 1.11536, 1.66960, 2.32002, 3.06260, 3.89397, 4.81126, 5.81196,
646  6.89382, 8.05483, 9.29317, 10.6072, 11.9952, 13.4560, 14.9881, 16.5902, 18.2612, 20.0000};
647  static const G4double* Il[nE]=
648  {I0,I1,I2,I3,I4,I5,I6,I7,I8,I9,IA,IB,IC,ID,IE,IF,IG,IH,II,IJ};
649  static const G4double lE[nE]={
650 -1.98842,-1.58049,-1.17256,-.764638,-.356711, .051215, .459141, .867068, 1.27499, 1.68292,
651  2.09085, 2.49877, 2.90670, 3.31463, 3.72255, 4.13048, 4.53840, 4.94633, 5.35426, 5.76218};
652  static const G4double lEmi=lE[0];
653  static const G4double lEma=lE[nE-1];
654  static const G4double dlE=(lEma-lEmi)/bE;
655  //***************************************************************************************
656  G4double Enu=lastE; // Get energy of the last calculated cross-section
657  G4double lEn=std::log(Enu); // log(E) for interpolation
658  G4double rE=(lEn-lEmi)/dlE; // Position of the energy
659  G4int fE=static_cast<int>(rE); // Left bin for interpolation
660  if(fE<0) fE=0;
661  if(fE>pE)fE=pE;
662  G4int sE=fE+1; // Right bin for interpolation
663  G4double dE=rE-fE; // relative log shift from the left bin
664  G4double dEnu=Enu+Enu; // doubled energy of nu/anu
665  G4double Enu2=Enu*Enu; // squared energy of nu/anu
666  G4double Emu=Enu; // Free Energy of neutrino/anti-neutrino
667  G4double ME=Enu*MN; // M*E
668  G4double dME=ME+ME; // 2*M*E
669  G4double dEMN=(dEnu+MN)*ME;
670  G4double sqE=Enu*ME;
671  G4double E2M=MN*Enu2;
672  G4double ymax=(E2M+sqE)/dEMN;
673  G4double Q2mi=0.; // Q2_min(E_nu)
674  G4double Q2ma=dME*ymax; // Q2_max(E_nu)
675  G4double Q2nq=Emu*dMN-mcV;
676  if(Q2ma>Q2nq) Q2ma=Q2nq; // Correction for Non Quasi Elastic
677  // --- now r_min=Q2mi/Q2ma and r_max=1.; when r is randomized -> Q2=r*Q2ma ---
678  G4double Rmi=Q2mi/Q2ma;
679  G4double shift=1.+.9673/(1.+.323/Enu/Enu)/std::pow(Enu,.78); //@@ different for anti-nu
680  // --- E-interpolation must be done in a log scale ---
681  G4double Xmi=std::pow((shift-Rmi),power);// X_min(E_nu)
682  G4double Xma=std::pow((shift-1.),power); // X_max(E_nu)
683  // Find the integral values integ(Xmi) & integ(Xma) using the direct table
684  G4double idX=dX[fE]+dE*(dX[sE]-dX[fE]); // interpolated X step
685  G4double iXmi=Xmin[fE]+dE*(Xmin[sE]-Xmin[fE]); // interpolated X minimum
686  G4double rXi=(Xmi-iXmi)/idX;
687  G4int iXi=static_cast<int>(rXi);
688  if(iXi<0) iXi=0;
689  if(iXi>bX) iXi=bX;
690  G4double dXi=rXi-iXi;
691  G4double bntil=Il[fE][iXi];
692  G4double intil=bntil+dXi*(Il[fE][iXi+1]-bntil);
693  G4double bntir=Il[sE][iXi];
694  G4double intir=bntir+dXi*(Il[sE][iXi+1]-bntir);
695  G4double inti=intil+dE*(intir-intil);// interpolated begin of the integral
696  //
697  G4double rXa=(Xma-iXmi)/idX;
698  G4int iXa=static_cast<int>(rXa);
699  if(iXa<0) iXa=0;
700  if(iXa>bX) iXa=bX;
701  G4double dXa=rXa-iXa;
702  G4double bntal=Il[fE][iXa];
703  G4double intal=bntal+dXa*(Il[fE][iXa+1]-bntal);
704  G4double bntar=Il[sE][iXa];
705  G4double intar=bntar+dXa*(Il[sE][iXa+1]-bntar);
706  G4double inta=intal+dE*(intar-intal);// interpolated end of the integral
707  //
708  // *** Find X using the reversed table ***
709  G4double intx=inti+(inta-inti)*G4UniformRand();
710  G4int intc=static_cast<int>(intx);
711  if(intc<0) intc=0;
712  if(intc>bX) intc=bX;
713  G4double dint=intx-intc;
714  G4double mXl=Xl[fE][intc];
715  G4double Xlb=mXl+dint*(Xl[fE][intc+1]-mXl);
716  G4double mXr=Xl[sE][intc];
717  G4double Xrb=mXr+dint*(Xl[sE][intc+1]-mXr);
718  G4double X=Xlb+dE*(Xrb-Xlb); // interpolated X value
719  G4double R=shift-std::pow(X,pconv);
720  G4double Q2=R*Q2ma;
721  return Q2*GeV*GeV;
722 }
723 
724 // It returns a fraction of the direct interaction of the neutrino with quark-partons
725 G4double G4QNuNuNuclearCrossSection::GetDirectPart(G4double Q2)
726 {
727  G4double f=Q2/4.62;
728  G4double ff=f*f;
729  G4double r=ff*ff;
730  G4double s_value=std::pow((1.+.6/Q2),(-1.-(1.+r)/(12.5+r/.3)));
731  //@@ It is the same for nu/anu, but for nu it is a bit less, and for anu a bit more (par)
732  return 1.-s_value*(1.-s_value/2);
733 }
734 
735 // #of quark-partons in the nonperturbative phase space is the same for neut and anti-neut
736 G4double G4QNuNuNuclearCrossSection::GetNPartons(G4double Q2)
737 {
738  return 3.+.3581*std::log(1.+Q2/.04); // a#of partons in the nonperturbative phase space
739 }
740 
741 // This class can provide only virtual exchange gamma (a substitute for Z0 boson)
742 G4int G4QNuNuNuclearCrossSection::GetExchangePDGCode() {return 22;}
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