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G4ChipsKaonPlusElasticXS.cc
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27 // $Id: G4ChipsKaonPlusElasticXS.cc 93260 2015-10-14 08:37:04Z gcosmo $
28 //
29 //
30 // G4 Physics class: G4ChipsKaonPlusElasticXS for pA elastic cross sections
31 // Created: M.V. Kossov, CERN/ITEP(Moscow), 5-Feb-2010
32 // The last update: M.V. Kossov, CERN/ITEP (Moscow) 5-Feb-2010
33 //
34 // -------------------------------------------------------------------------------
35 // Short description: Interaction cross-sections for the elastic process.
36 // Class extracted from CHIPS and integrated in Geant4 by W.Pokorski
37 // -------------------------------------------------------------------------------
38 //
39 
40 #include "G4ChipsKaonPlusElasticXS.hh"
41 #include "G4SystemOfUnits.hh"
42 #include "G4DynamicParticle.hh"
43 #include "G4ParticleDefinition.hh"
44 #include "G4KaonPlus.hh"
45 #include "G4Nucleus.hh"
46 #include "G4ParticleTable.hh"
47 #include "G4NucleiProperties.hh"
48 #include "G4IonTable.hh"
49 #include "G4AutoLock.hh"
50 // factory
51 #include "G4CrossSectionFactory.hh"
52 //
53 G4_DECLARE_XS_FACTORY(G4ChipsKaonPlusElasticXS);
54 
55 namespace {
56  G4double mK;//= G4KaonPlus::KaonPlus()->GetPDGMass()*.001; // MeV to GeV //Cannot initialize here, needs particles
57  G4double mK2;//= mK*mK;
58  G4Mutex initM = G4MUTEX_INITIALIZER;
59  const G4double pwd=2727;
60  const G4double GeVSQ=gigaelectronvolt*gigaelectronvolt;
61  const G4double third=1./3.;
62  const G4double fifth=1./5.;
63  const G4double sevth=1./7.;
64  const G4double HGeVSQ=gigaelectronvolt*gigaelectronvolt/2.;
65  // @@ At present all nA==pA ---------> Each neucleus can have not more than 51 parameters
66  const G4int n_kppel=35; // #of parameters for pp-elastic (<nPoints=128)
67  // -0--1- -2- -3- -4- -5- -6--7--8--9- -10--11-12--13--14-
68  G4double kpp_el[n_kppel]={.7,.38,.0676,.0557,3.5,2.23,.7,.1,2.,1.,.372,5.,74.,3.,3.4,
69  .2,.17,.001,8.,.055,3.64,5.e-5,4000.,1500.,.46,1.2e6,3.5e6,
70  5.e-5,1.e10,8.5e8,1.e10,1.1,3.4e6,6.8e6,0.};
71  // -15--16--17--18--19- -20- -21- -22- -23- -24- -25- -26-
72  // -27- -28- -29- -30- -31- -32- -33--34-
73 
74 
75 }
76 
77 G4ChipsKaonPlusElasticXS::G4ChipsKaonPlusElasticXS():G4VCrossSectionDataSet(Default_Name()), nPoints(128), nLast(nPoints-1)
78 {
79  G4AutoLock l(&initM);
80  mK = G4KaonPlus::KaonPlus()->GetPDGMass()*.001;// MeV to GeV
81  mK2 = mK*mK;
82  l.unlock();
83  lPMin=-8.; //Min tabulatedLogarithmMomentum/D
84  lPMax= 8.; //Max tabulatedLogarithmMomentum/D
85  dlnP=(lPMax-lPMin)/nLast;// LogStep inTable /D
86  onlyCS=true;//Flag toCalculOnlyCS(not Si/Bi)/L
87  lastSIG=0.; //Last calculated cross section /L
88  lastLP=-10.;//LastLog(mom_of IncidentHadron)/L
89  lastTM=0.; //Last t_maximum /L
90  theSS=0.; //TheLastSqSlope of 1st difr.Max/L
91  theS1=0.; //TheLastMantissa of 1st difrMax/L
92  theB1=0.; //TheLastSlope of 1st difructMax/L
93  theS2=0.; //TheLastMantissa of 2nd difrMax/L
94  theB2=0.; //TheLastSlope of 2nd difructMax/L
95  theS3=0.; //TheLastMantissa of 3d difr.Max/L
96  theB3=0.; //TheLastSlope of 3d difruct.Max/L
97  theS4=0.; //TheLastMantissa of 4th difrMax/L
98  theB4=0.; //TheLastSlope of 4th difructMax/L
99  lastTZ=0; // Last atomic number of theTarget
100  lastTN=0; // Last # of neutrons in theTarget
101  lastPIN=0.;// Last initialized max momentum
102  lastCST=0; // Elastic cross-section table
103  lastPAR=0; // ParametersForFunctionCalculation
104  lastSST=0; // E-dep ofSqardSlope of 1st difMax
105  lastS1T=0; // E-dep of mantissa of 1st dif.Max
106  lastB1T=0; // E-dep of the slope of 1st difMax
107  lastS2T=0; // E-dep of mantissa of 2nd difrMax
108  lastB2T=0; // E-dep of the slope of 2nd difMax
109  lastS3T=0; // E-dep of mantissa of 3d difr.Max
110  lastB3T=0; // E-dep of the slope of 3d difrMax
111  lastS4T=0; // E-dep of mantissa of 4th difrMax
112  lastB4T=0; // E-dep of the slope of 4th difMax
113  lastN=0; // The last N of calculated nucleus
114  lastZ=0; // The last Z of calculated nucleus
115  lastP=0.; // LastUsed inCrossSection Momentum
116  lastTH=0.; // Last threshold momentum
117  lastCS=0.; // Last value of the Cross Section
118  lastI=0; // The last position in the DAMDB
119 }
120 
121 G4ChipsKaonPlusElasticXS::~G4ChipsKaonPlusElasticXS()
122 {
123  std::vector<G4double*>::iterator pos;
124  for (pos=CST.begin(); pos<CST.end(); pos++)
125  { delete [] *pos; }
126  CST.clear();
127  for (pos=PAR.begin(); pos<PAR.end(); pos++)
128  { delete [] *pos; }
129  PAR.clear();
130  for (pos=SST.begin(); pos<SST.end(); pos++)
131  { delete [] *pos; }
132  SST.clear();
133  for (pos=S1T.begin(); pos<S1T.end(); pos++)
134  { delete [] *pos; }
135  S1T.clear();
136  for (pos=B1T.begin(); pos<B1T.end(); pos++)
137  { delete [] *pos; }
138  B1T.clear();
139  for (pos=S2T.begin(); pos<S2T.end(); pos++)
140  { delete [] *pos; }
141  S2T.clear();
142  for (pos=B2T.begin(); pos<B2T.end(); pos++)
143  { delete [] *pos; }
144  B2T.clear();
145  for (pos=S3T.begin(); pos<S3T.end(); pos++)
146  { delete [] *pos; }
147  S3T.clear();
148  for (pos=B3T.begin(); pos<B3T.end(); pos++)
149  { delete [] *pos; }
150  B3T.clear();
151  for (pos=S4T.begin(); pos<S4T.end(); pos++)
152  { delete [] *pos; }
153  S4T.clear();
154  for (pos=B4T.begin(); pos<B4T.end(); pos++)
155  { delete [] *pos; }
156  B4T.clear();
157 }
158 
159 void
160 G4ChipsKaonPlusElasticXS::CrossSectionDescription(std::ostream& outFile) const
161 {
162  outFile << "G4ChipsKaonPlusElasticXS provides the elastic cross\n"
163  << "section for K+ nucleus scattering as a function of incident\n"
164  << "momentum. The cross section is calculated using M. Kossov's\n"
165  << "CHIPS parameterization of cross section data.\n";
166 }
167 
168 
169 G4bool G4ChipsKaonPlusElasticXS::IsIsoApplicable(const G4DynamicParticle*, G4int, G4int,
170  const G4Element*,
171  const G4Material*)
172 {
173  return true;
174 }
175 
176 // The main member function giving the collision cross section (P is in IU, CS is in mb)
177 // Make pMom in independent units ! (Now it is MeV)
178 G4double G4ChipsKaonPlusElasticXS::GetIsoCrossSection(const G4DynamicParticle* Pt, G4int tgZ, G4int A,
179  const G4Isotope*,
180  const G4Element*,
181  const G4Material*)
182 {
183  G4double pMom=Pt->GetTotalMomentum();
184  G4int tgN = A - tgZ;
185 
186  return GetChipsCrossSection(pMom, tgZ, tgN, 321);
187 }
188 
189 G4double G4ChipsKaonPlusElasticXS::GetChipsCrossSection(G4double pMom, G4int tgZ, G4int tgN, G4int)
190 {
191 
192  G4bool fCS = false;
193  G4double pEn=pMom;
194  onlyCS=fCS;
195 
196  G4bool in=false; // By default the isotope must be found in the AMDB
197  lastP = 0.; // New momentum history (nothing to compare with)
198  lastN = tgN; // The last N of the calculated nucleus
199  lastZ = tgZ; // The last Z of the calculated nucleus
200  lastI = colN.size(); // Size of the Associative Memory DB in the heap
201  if(lastI) for(G4int i=0; i<lastI; i++) // Loop over proj/tgZ/tgN lines of DB
202  { // The nucleus with projPDG is found in AMDB
203  if(colN[i]==tgN && colZ[i]==tgZ) // Isotope is foind in AMDB
204  {
205  lastI=i;
206  lastTH =colTH[i]; // Last THreshold (A-dependent)
207  if(pEn<=lastTH)
208  {
209  return 0.; // Energy is below the Threshold value
210  }
211  lastP =colP [i]; // Last Momentum (A-dependent)
212  lastCS =colCS[i]; // Last CrossSect (A-dependent)
213  // if(std::fabs(lastP/pMom-1.)<tolerance) //VI (do not use tolerance)
214  if(lastP == pMom) // Do not recalculate
215  {
216  CalculateCrossSection(fCS,-1,i,321,lastZ,lastN,pMom); // Update param's only
217  return lastCS*millibarn; // Use theLastCS
218  }
219  in = true; // This is the case when the isotop is found in DB
220  // Momentum pMom is in IU ! @@ Units
221  lastCS=CalculateCrossSection(fCS,-1,i,321,lastZ,lastN,pMom); // read & update
222  if(lastCS<=0. && pEn>lastTH) // Correct the threshold
223  {
224  lastTH=pEn;
225  }
226  break; // Go out of the LOOP with found lastI
227  }
228  } // End of attampt to find the nucleus in DB
229  if(!in) // This nucleus has not been calculated previously
230  {
232  lastCS=CalculateCrossSection(fCS,0,lastI,321,lastZ,lastN,pMom);//calculate&create
233  if(lastCS<=0.)
234  {
235  lastTH = 0; //ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
236  if(pEn>lastTH)
237  {
238  lastTH=pEn;
239  }
240  }
241  colN.push_back(tgN);
242  colZ.push_back(tgZ);
243  colP.push_back(pMom);
244  colTH.push_back(lastTH);
245  colCS.push_back(lastCS);
246  return lastCS*millibarn;
247  } // End of creation of the new set of parameters
248  else
249  {
250  colP[lastI]=pMom;
251  colCS[lastI]=lastCS;
252  }
253  return lastCS*millibarn;
254 }
255 
256 // Calculation of total elastic cross section (p in IU, CS in mb) @@ Units (?)
257 // F=0 - create AMDB, F=-1 - read&update AMDB, F=1 - update AMDB (sinchro with higher AMDB)
258 G4double G4ChipsKaonPlusElasticXS::CalculateCrossSection(G4bool CS, G4int F,
259  G4int I, G4int PDG, G4int tgZ, G4int tgN, G4double pIU)
260 {
261  G4double pMom=pIU/GeV; // All calculations are in GeV
262  onlyCS=CS; // Flag to calculate only CS (not Si/Bi)
263  lastLP=std::log(pMom); // Make a logarithm of the momentum for calculation
264  if(F) // This isotope was found in AMDB =>RETRIEVE/UPDATE
265  {
266  if(F<0) // the AMDB must be loded
267  {
268  lastPIN = PIN[I]; // Max log(P) initialised for this table set
269  lastPAR = PAR[I]; // Pointer to the parameter set
270  lastCST = CST[I]; // Pointer to the total sross-section table
271  lastSST = SST[I]; // Pointer to the first squared slope
272  lastS1T = S1T[I]; // Pointer to the first mantissa
273  lastB1T = B1T[I]; // Pointer to the first slope
274  lastS2T = S2T[I]; // Pointer to the second mantissa
275  lastB2T = B2T[I]; // Pointer to the second slope
276  lastS3T = S3T[I]; // Pointer to the third mantissa
277  lastB3T = B3T[I]; // Pointer to the rhird slope
278  lastS4T = S4T[I]; // Pointer to the 4-th mantissa
279  lastB4T = B4T[I]; // Pointer to the 4-th slope
280  }
281  if(lastLP>lastPIN && lastLP<lPMax)
282  {
283  lastPIN=GetPTables(lastLP,lastPIN,PDG,tgZ,tgN);// Can update upper logP-Limit in tabs
284  PIN[I]=lastPIN; // Remember the new P-Limit of the tables
285  }
286  }
287  else // This isotope wasn't initialized => CREATE
288  {
289  lastPAR = new G4double[nPoints]; // Allocate memory for parameters of CS function
290  lastPAR[nLast]=0; // Initialization for VALGRIND
291  lastCST = new G4double[nPoints]; // Allocate memory for Tabulated CS function
292  lastSST = new G4double[nPoints]; // Allocate memory for Tabulated first sqaredSlope
293  lastS1T = new G4double[nPoints]; // Allocate memory for Tabulated first mantissa
294  lastB1T = new G4double[nPoints]; // Allocate memory for Tabulated first slope
295  lastS2T = new G4double[nPoints]; // Allocate memory for Tabulated second mantissa
296  lastB2T = new G4double[nPoints]; // Allocate memory for Tabulated second slope
297  lastS3T = new G4double[nPoints]; // Allocate memory for Tabulated third mantissa
298  lastB3T = new G4double[nPoints]; // Allocate memory for Tabulated third slope
299  lastS4T = new G4double[nPoints]; // Allocate memory for Tabulated 4-th mantissa
300  lastB4T = new G4double[nPoints]; // Allocate memory for Tabulated 4-th slope
301  lastPIN = GetPTables(lastLP,lPMin,PDG,tgZ,tgN); // Returns the new P-limit for tables
302  PIN.push_back(lastPIN); // Fill parameters of CS function to AMDB
303  PAR.push_back(lastPAR); // Fill parameters of CS function to AMDB
304  CST.push_back(lastCST); // Fill Tabulated CS function to AMDB
305  SST.push_back(lastSST); // Fill Tabulated first sq.slope to AMDB
306  S1T.push_back(lastS1T); // Fill Tabulated first mantissa to AMDB
307  B1T.push_back(lastB1T); // Fill Tabulated first slope to AMDB
308  S2T.push_back(lastS2T); // Fill Tabulated second mantissa to AMDB
309  B2T.push_back(lastB2T); // Fill Tabulated second slope to AMDB
310  S3T.push_back(lastS3T); // Fill Tabulated third mantissa to AMDB
311  B3T.push_back(lastB3T); // Fill Tabulated third slope to AMDB
312  S4T.push_back(lastS4T); // Fill Tabulated 4-th mantissa to AMDB
313  B4T.push_back(lastB4T); // Fill Tabulated 4-th slope to AMDB
314  } // End of creation/update of the new set of parameters and tables
315  // =----------= NOW Update (if necessary) and Calculate the Cross Section =----------=
316  if(lastLP>lastPIN && lastLP<lPMax)
317  {
318  lastPIN = GetPTables(lastLP,lastPIN,PDG,tgZ,tgN);
319  }
320  if(!onlyCS) lastTM=GetQ2max(PDG, tgZ, tgN, pMom); // Calculate (-t)_max=Q2_max (GeV2)
321  if(lastLP>lPMin && lastLP<=lastPIN) // Linear fit is made using precalculated tables
322  {
323  if(lastLP==lastPIN)
324  {
325  G4double shift=(lastLP-lPMin)/dlnP+.000001; // Log distance from lPMin
326  G4int blast=static_cast<int>(shift); // this is a bin number of the lower edge (0)
327  if(blast<0 || blast>=nLast) G4cout<<"G4QKPElCS::CCS:b="<<blast<<",n="<<nLast<<G4endl;
328  lastSIG = lastCST[blast];
329  if(!onlyCS) // Skip the differential cross-section parameters
330  {
331  theSS = lastSST[blast];
332  theS1 = lastS1T[blast];
333  theB1 = lastB1T[blast];
334  theS2 = lastS2T[blast];
335  theB2 = lastB2T[blast];
336  theS3 = lastS3T[blast];
337  theB3 = lastB3T[blast];
338  theS4 = lastS4T[blast];
339  theB4 = lastB4T[blast];
340  }
341  }
342  else
343  {
344  G4double shift=(lastLP-lPMin)/dlnP; // a shift from the beginning of the table
345  G4int blast=static_cast<int>(shift); // the lower bin number
346  if(blast<0) blast=0;
347  if(blast>=nLast) blast=nLast-1; // low edge of the last bin
348  shift-=blast; // step inside the unit bin
349  G4int lastL=blast+1; // the upper bin number
350  G4double SIGL=lastCST[blast]; // the basic value of the cross-section
351  lastSIG= SIGL+shift*(lastCST[lastL]-SIGL); // calculated total elastic cross-section
352  if(!onlyCS) // Skip the differential cross-section parameters
353  {
354  G4double SSTL=lastSST[blast]; // the low bin of the first squared slope
355  theSS=SSTL+shift*(lastSST[lastL]-SSTL); // the basic value of the first sq.slope
356  G4double S1TL=lastS1T[blast]; // the low bin of the first mantissa
357  theS1=S1TL+shift*(lastS1T[lastL]-S1TL); // the basic value of the first mantissa
358  G4double B1TL=lastB1T[blast]; // the low bin of the first slope
359  theB1=B1TL+shift*(lastB1T[lastL]-B1TL); // the basic value of the first slope
360  G4double S2TL=lastS2T[blast]; // the low bin of the second mantissa
361  theS2=S2TL+shift*(lastS2T[lastL]-S2TL); // the basic value of the second mantissa
362  G4double B2TL=lastB2T[blast]; // the low bin of the second slope
363  theB2=B2TL+shift*(lastB2T[lastL]-B2TL); // the basic value of the second slope
364  G4double S3TL=lastS3T[blast]; // the low bin of the third mantissa
365  theS3=S3TL+shift*(lastS3T[lastL]-S3TL); // the basic value of the third mantissa
366  G4double B3TL=lastB3T[blast]; // the low bin of the third slope
367  theB3=B3TL+shift*(lastB3T[lastL]-B3TL); // the basic value of the third slope
368  G4double S4TL=lastS4T[blast]; // the low bin of the 4-th mantissa
369  theS4=S4TL+shift*(lastS4T[lastL]-S4TL); // the basic value of the 4-th mantissa
370  G4double B4TL=lastB4T[blast]; // the low bin of the 4-th slope
371  theB4=B4TL+shift*(lastB4T[lastL]-B4TL); // the basic value of the 4-th slope
372  }
373  }
374  }
375  else lastSIG=GetTabValues(lastLP, PDG, tgZ, tgN); // Direct calculation beyond the table
376  if(lastSIG<0.) lastSIG = 0.; // @@ a Warning print can be added
377  return lastSIG;
378 }
379 
380 // It has parameter sets for all tZ/tN/PDG, using them the tables can be created/updated
381 G4double G4ChipsKaonPlusElasticXS::GetPTables(G4double LP,G4double ILP, G4int PDG,
382  G4int tgZ, G4int tgN)
383 {
384  if(PDG == 321)
385  {
386  // -- Total pp elastic cross section cs & s1/b1 (main), s2/b2 (tail1), s3/b3 (tail2) --
387  //p2=p*p;p3=p2*p;sp=sqrt(p);p2s=p2*sp;lp=log(p);dl1=lp-(3.=par(3));p4=p2*p2; p=|3-mom|
388  //CS=2.865/p2s/(1+.0022/p2s)+(18.9+.6461*dl1*dl1+9./p)/(1.+.425*lp)/(1.+.4276/p4);
389  // par(0) par(7) par(1) par(2) par(4) par(5) par(6)
390  //dl2=lp-5., s1=(74.+3.*dl2*dl2)/(1+3.4/p4/p)+(.2/p2+17.*p)/(p4+.001*sp),
391  // par(8) par(9) par(10) par(11) par(12)par(13) par(14)
392  // b1=8.*p**.055/(1.+3.64/p3); s2=5.e-5+4000./(p4+1500.*p); b2=.46+1.2e6/(p4+3.5e6/sp);
393  // par(15) par(16) par(17) par(18) par(19) par(20) par(21) par(22) par(23)
394  // s3=5.e-5+1.e10/(p4*p4+8.5e8*p2+1.e10); b3=1.1+3.4e6/(p4+6.8e6); ss=0.
395  // par(24) par(25) par(26) par(27) par(28) par(29) par(30) par(31)
396  //
397  if(lastPAR[nLast]!=pwd) // A unique flag to avoid the repeatable definition
398  {
399  if ( tgZ == 1 && tgN == 0 )
400  {
401  for (G4int ip=0; ip<n_kppel; ip++) lastPAR[ip]=kpp_el[ip]; // KPlus+P
402  }
403  else
404  {
405  G4double a=tgZ+tgN;
406  G4double sa=std::sqrt(a);
407  G4double ssa=std::sqrt(sa);
408  G4double asa=a*sa;
409  G4double a2=a*a;
410  G4double a3=a2*a;
411  G4double a4=a3*a;
412  G4double a5=a4*a;
413  G4double a6=a4*a2;
414  G4double a7=a6*a;
415  G4double a8=a7*a;
416  G4double a9=a8*a;
417  G4double a10=a5*a5;
418  G4double a12=a6*a6;
419  G4double a14=a7*a7;
420  G4double a16=a8*a8;
421  G4double a17=a16*a;
422  //G4double a20=a16*a4;
423  G4double a32=a16*a16;
424  // Reaction cross-section parameters (kpael_fit.f)
425  lastPAR[0]=.06*asa/(1.+a*(.01+.1/ssa)); // p1
426  lastPAR[1]=.75*asa/(1.+.009*a); // p2
427  lastPAR[2]=.9*asa*ssa/(1.+.03*a); // p3
428  lastPAR[3]=3.; // p4
429  lastPAR[4]=4.2; // p5
430  lastPAR[5]=0.; // p6 not used
431  lastPAR[6]=0.; // p7 not used
432  lastPAR[7]=0.; // p8 not used
433  lastPAR[8]=0.; // p9 not used
434  // @@ the differential cross-section is parameterized separately for A>6 & A<7
435  if(a<6.5)
436  {
437  G4double a28=a16*a12;
438  // The main pre-exponent (pel_sg)
439  lastPAR[ 9]=4000*a; // p1
440  lastPAR[10]=1.2e7*a8+380*a17; // p2
441  lastPAR[11]=.7/(1.+4.e-12*a16); // p3
442  lastPAR[12]=2.5/a8/(a4+1.e-16*a32); // p4
443  lastPAR[13]=.28*a; // p5
444  lastPAR[14]=1.2*a2+2.3; // p6
445  lastPAR[15]=3.8/a; // p7
446  // The main slope (pel_sl)
447  lastPAR[16]=.01/(1.+.0024*a5); // p1
448  lastPAR[17]=.2*a; // p2
449  lastPAR[18]=9.e-7/(1.+.035*a5); // p3
450  lastPAR[19]=(42.+2.7e-11*a16)/(1.+.14*a); // p4
451  // The main quadratic (pel_sh)
452  lastPAR[20]=2.25*a3; // p1
453  lastPAR[21]=18.; // p2
454  lastPAR[22]=2.4e-3*a8/(1.+2.6e-4*a7); // p3
455  lastPAR[23]=3.5e-36*a32*a8/(1.+5.e-15*a32/a); // p4
456  // The 1st max pre-exponent (pel_qq)
457  lastPAR[24]=1.e5/(a8+2.5e12/a16); // p1
458  lastPAR[25]=8.e7/(a12+1.e-27*a28*a28); // p2
459  lastPAR[26]=.0006*a3; // p3
460  // The 1st max slope (pel_qs)
461  lastPAR[27]=10.+4.e-8*a12*a; // p1
462  lastPAR[28]=.114; // p2
463  lastPAR[29]=.003; // p3
464  lastPAR[30]=2.e-23; // p4
465  // The effective pre-exponent (pel_ss)
466  lastPAR[31]=1./(1.+.0001*a8); // p1
467  lastPAR[32]=1.5e-4/(1.+5.e-6*a12); // p2
468  lastPAR[33]=.03; // p3
469  // The effective slope (pel_sb)
470  lastPAR[34]=a/2; // p1
471  lastPAR[35]=2.e-7*a4; // p2
472  lastPAR[36]=4.; // p3
473  lastPAR[37]=64./a3; // p4
474  // The gloria pre-exponent (pel_us)
475  lastPAR[38]=1.e8*std::exp(.32*asa); // p1
476  lastPAR[39]=20.*std::exp(.45*asa); // p2
477  lastPAR[40]=7.e3+2.4e6/a5; // p3
478  lastPAR[41]=2.5e5*std::exp(.085*a3); // p4
479  lastPAR[42]=2.5*a; // p5
480  // The gloria slope (pel_ub)
481  lastPAR[43]=920.+.03*a8*a3; // p1
482  lastPAR[44]=93.+.0023*a12; // p2
483  }
484  else
485  {
486  G4double p1a10=2.2e-28*a10;
487  G4double r4a16=6.e14/a16;
488  G4double s4a16=r4a16*r4a16;
489  // a24
490  // a36
491  // The main pre-exponent (peh_sg)
492  lastPAR[ 9]=4.5*std::pow(a,1.15); // p1
493  lastPAR[10]=.06*std::pow(a,.6); // p2
494  lastPAR[11]=.6*a/(1.+2.e15/a16); // p3
495  lastPAR[12]=.17/(a+9.e5/a3+1.5e33/a32); // p4
496  lastPAR[13]=(.001+7.e-11*a5)/(1.+4.4e-11*a5); // p5
497  lastPAR[14]=(p1a10*p1a10+2.e-29)/(1.+2.e-22*a12); // p6
498  // The main slope (peh_sl)
499  lastPAR[15]=400./a12+2.e-22*a9; // p1
500  lastPAR[16]=1.e-32*a12/(1.+5.e22/a14); // p2
501  lastPAR[17]=1000./a2+9.5*sa*ssa; // p3
502  lastPAR[18]=4.e-6*a*asa+1.e11/a16; // p4
503  lastPAR[19]=(120./a+.002*a2)/(1.+2.e14/a16); // p5
504  lastPAR[20]=9.+100./a; // p6
505  // The main quadratic (peh_sh)
506  lastPAR[21]=.002*a3+3.e7/a6; // p1
507  lastPAR[22]=7.e-15*a4*asa; // p2
508  lastPAR[23]=9000./a4; // p3
509  // The 1st max pre-exponent (peh_qq)
510  lastPAR[24]=.0011*asa/(1.+3.e34/a32/a4); // p1
511  lastPAR[25]=1.e-5*a2+2.e14/a16; // p2
512  lastPAR[26]=1.2e-11*a2/(1.+1.5e19/a12); // p3
513  lastPAR[27]=.016*asa/(1.+5.e16/a16); // p4
514  // The 1st max slope (peh_qs)
515  lastPAR[28]=.002*a4/(1.+7.e7/std::pow(a-6.83,14)); // p1
516  lastPAR[29]=2.e6/a6+7.2/std::pow(a,.11); // p2
517  lastPAR[30]=11.*a3/(1.+7.e23/a16/a8); // p3
518  lastPAR[31]=100./asa; // p4
519  // The 2nd max pre-exponent (peh_ss)
520  lastPAR[32]=(.1+4.4e-5*a2)/(1.+5.e5/a4); // p1
521  lastPAR[33]=3.5e-4*a2/(1.+1.e8/a8); // p2
522  lastPAR[34]=1.3+3.e5/a4; // p3
523  lastPAR[35]=500./(a2+50.)+3; // p4
524  lastPAR[36]=1.e-9/a+s4a16*s4a16; // p5
525  // The 2nd max slope (peh_sb)
526  lastPAR[37]=.4*asa+3.e-9*a6; // p1
527  lastPAR[38]=.0005*a5; // p2
528  lastPAR[39]=.002*a5; // p3
529  lastPAR[40]=10.; // p4
530  // The effective pre-exponent (peh_us)
531  lastPAR[41]=.05+.005*a; // p1
532  lastPAR[42]=7.e-8/sa; // p2
533  lastPAR[43]=.8*sa; // p3
534  lastPAR[44]=.02*sa; // p4
535  lastPAR[45]=1.e8/a3; // p5
536  lastPAR[46]=3.e32/(a32+1.e32); // p6
537  // The effective slope (peh_ub)
538  lastPAR[47]=24.; // p1
539  lastPAR[48]=20./sa; // p2
540  lastPAR[49]=7.e3*a/(sa+1.); // p3
541  lastPAR[50]=900.*sa/(1.+500./a3); // p4
542  }
543  // Parameter for lowEnergyNeutrons
544  lastPAR[51]=1.e15+2.e27/a4/(1.+2.e-18*a16);
545  }
546  lastPAR[nLast]=pwd;
547  // and initialize the zero element of the table
548  G4double lp=lPMin; // ln(momentum)
549  G4bool memCS=onlyCS; // ??
550  onlyCS=false;
551  lastCST[0]=GetTabValues(lp, PDG, tgZ, tgN); // Calculate AMDB tables
552  onlyCS=memCS;
553  lastSST[0]=theSS;
554  lastS1T[0]=theS1;
555  lastB1T[0]=theB1;
556  lastS2T[0]=theS2;
557  lastB2T[0]=theB2;
558  lastS3T[0]=theS3;
559  lastB3T[0]=theB3;
560  lastS4T[0]=theS4;
561  lastB4T[0]=theB4;
562  }
563  if(LP>ILP)
564  {
565  G4int ini = static_cast<int>((ILP-lPMin+.000001)/dlnP)+1; // already inited till this
566  if(ini<0) ini=0;
567  if(ini<nPoints)
568  {
569  G4int fin = static_cast<int>((LP-lPMin)/dlnP)+1; // final bin of initialization
570  if(fin>=nPoints) fin=nLast; // Limit of the tabular initialization
571  if(fin>=ini)
572  {
573  G4double lp=0.;
574  for(G4int ip=ini; ip<=fin; ip++) // Calculate tabular CS,S1,B1,S2,B2,S3,B3
575  {
576  lp=lPMin+ip*dlnP; // ln(momentum)
577  G4bool memCS=onlyCS;
578  onlyCS=false;
579  lastCST[ip]=GetTabValues(lp, PDG, tgZ, tgN); // Calculate AMDB tables (ret CS)
580  onlyCS=memCS;
581  lastSST[ip]=theSS;
582  lastS1T[ip]=theS1;
583  lastB1T[ip]=theB1;
584  lastS2T[ip]=theS2;
585  lastB2T[ip]=theB2;
586  lastS3T[ip]=theS3;
587  lastB3T[ip]=theB3;
588  lastS4T[ip]=theS4;
589  lastB4T[ip]=theB4;
590  }
591  return lp;
592  }
593  else G4cout<<"*Warning*G4ChipsKaonPlusElasticXS::GetPTables: PDG="<<PDG
594  <<", Z="<<tgZ<<", N="<<tgN<<", i="<<ini<<" > fin="<<fin<<", LP="<<LP
595  <<" > ILP="<<ILP<<" nothing is done!"<<G4endl;
596  }
597  else G4cout<<"*Warning*G4ChipsKaonPlusElasticXS::GetPTables: PDG="<<PDG
598  <<", Z="<<tgZ<<", N="<<tgN<<", i="<<ini<<">= max="<<nPoints<<", LP="<<LP
599  <<" > ILP="<<ILP<<", lPMax="<<lPMax<<" nothing is done!"<<G4endl;
600  }
601  }
602  else
603  {
604  // G4cout<<"*Error*G4ChipsKaonPlusElasticXS::GetPTables: PDG="<<PDG<<", Z="<<tgZ
605  // <<", N="<<tgN<<", while it is defined only for PDG=321"<<G4endl;
606  // throw G4QException("G4ChipsKaonPlusElasticXS::GetPTables:onlyK+ is implemented");
607  G4ExceptionDescription ed;
608  ed << "PDG = " << PDG << ", Z = " << tgZ << ", N = " << tgN
609  << ", while it is defined only for PDG=321 (K+) " << G4endl;
610  G4Exception("G4ChipsKaonPlusElasticXS::GetPTables()", "HAD_CHPS_0000",
611  FatalException, ed);
612  }
613  return ILP;
614 }
615 
616 // Returns Q2=-t in independent units (MeV^2) (all internal calculations are in GeV)
617 G4double G4ChipsKaonPlusElasticXS::GetExchangeT(G4int tgZ, G4int tgN, G4int PDG)
618 {
619  if(PDG!=321) G4cout<<"*Warning*G4ChipsKaonPlusElasticXS::GetExT:PDG="<<PDG<<G4endl;
620  if(onlyCS) G4cout<<"*Warning*G4ChipsKaonPlusElasticXS::GetExT: onlyCS=1"<<G4endl;
621  if(lastLP<-4.3) return lastTM*GeVSQ*G4UniformRand();// S-wave for p<14 MeV/c (kinE<.1MeV)
622  G4double q2=0.;
623  if(tgZ==1 && tgN==0) // ===> p+p=p+p
624  {
625  G4double E1=lastTM*theB1;
626  G4double R1=(1.-std::exp(-E1));
627  G4double E2=lastTM*theB2;
628  G4double R2=(1.-std::exp(-E2*E2*E2));
629  G4double E3=lastTM*theB3;
630  G4double R3=(1.-std::exp(-E3));
631  G4double I1=R1*theS1/theB1;
632  G4double I2=R2*theS2;
633  G4double I3=R3*theS3;
634  G4double I12=I1+I2;
635  G4double rand=(I12+I3)*G4UniformRand();
636  if (rand<I1 )
637  {
638  G4double ran=R1*G4UniformRand();
639  if(ran>1.) ran=1.;
640  q2=-std::log(1.-ran)/theB1;
641  }
642  else if(rand<I12)
643  {
644  G4double ran=R2*G4UniformRand();
645  if(ran>1.) ran=1.;
646  q2=-std::log(1.-ran);
647  if(q2<0.) q2=0.;
648  q2=std::pow(q2,third)/theB2;
649  }
650  else
651  {
652  G4double ran=R3*G4UniformRand();
653  if(ran>1.) ran=1.;
654  q2=-std::log(1.-ran)/theB3;
655  }
656  }
657  else
658  {
659  G4double a=tgZ+tgN;
660  G4double E1=lastTM*(theB1+lastTM*theSS);
661  G4double R1=(1.-std::exp(-E1));
662  G4double tss=theSS+theSS; // for future solution of quadratic equation (imediate check)
663  G4double tm2=lastTM*lastTM;
664  G4double E2=lastTM*tm2*theB2; // power 3 for lowA, 5 for HighA (1st)
665  if(a>6.5)E2*=tm2; // for heavy nuclei
666  G4double R2=(1.-std::exp(-E2));
667  G4double E3=lastTM*theB3;
668  if(a>6.5)E3*=tm2*tm2*tm2; // power 1 for lowA, 7 (2nd) for HighA
669  G4double R3=(1.-std::exp(-E3));
670  G4double E4=lastTM*theB4;
671  G4double R4=(1.-std::exp(-E4));
672  G4double I1=R1*theS1;
673  G4double I2=R2*theS2;
674  G4double I3=R3*theS3;
675  G4double I4=R4*theS4;
676  G4double I12=I1+I2;
677  G4double I13=I12+I3;
678  G4double rand=(I13+I4)*G4UniformRand();
679  if(rand<I1)
680  {
681  G4double ran=R1*G4UniformRand();
682  if(ran>1.) ran=1.;
683  q2=-std::log(1.-ran)/theB1;
684  if(std::fabs(tss)>1.e-7) q2=(std::sqrt(theB1*(theB1+(tss+tss)*q2))-theB1)/tss;
685  }
686  else if(rand<I12)
687  {
688  G4double ran=R2*G4UniformRand();
689  if(ran>1.) ran=1.;
690  q2=-std::log(1.-ran)/theB2;
691  if(q2<0.) q2=0.;
692  if(a<6.5) q2=std::pow(q2,third);
693  else q2=std::pow(q2,fifth);
694  }
695  else if(rand<I13)
696  {
697  G4double ran=R3*G4UniformRand();
698  if(ran>1.) ran=1.;
699  q2=-std::log(1.-ran)/theB3;
700  if(q2<0.) q2=0.;
701  if(a>6.5) q2=std::pow(q2,sevth);
702  }
703  else
704  {
705  G4double ran=R4*G4UniformRand();
706  if(ran>1.) ran=1.;
707  q2=-std::log(1.-ran)/theB4;
708  if(a<6.5) q2=lastTM-q2; // u reduced for lightA (starts from 0)
709  }
710  }
711  if(q2<0.) q2=0.;
712  if(!(q2>=-1.||q2<=1.)) G4cout<<"*NAN*G4QKaonPlusElasticCS::GetExchT: -t="<<q2<<G4endl;
713  if(q2>lastTM)
714  {
715  q2=lastTM;
716  }
717  return q2*GeVSQ;
718 }
719 
720 // Returns B in independent units (MeV^-2) (all internal calculations are in GeV) see ExT
721 G4double G4ChipsKaonPlusElasticXS::GetSlope(G4int tgZ, G4int tgN, G4int PDG)
722 {
723  if(onlyCS)G4cout<<"*Warning*G4ChipsKaonPlusElasticXS::GetSl:onlCS=true"<<G4endl;
724  if(lastLP<-4.3) return 0.; // S-wave for p<14 MeV/c (kinE<.1MeV)
725  if(PDG != 321)
726  {
727  G4ExceptionDescription ed;
728  ed << "PDG = " << PDG << ", Z = " << tgZ << ", N = " << tgN
729  << ", while it is defined only for PDG=321 (K+)" << G4endl;
730  G4Exception("G4ChipsKaonPlusElasticXS::GetSlope()", "HAD_CHPS_0000",
731  FatalException, ed);
732  }
733  if(theB1<0.) theB1=0.;
734  if(!(theB1>=-1.||theB1<=1.))G4cout<<"*NAN*G4QKaonPlusElCS::GetSlope:B1="<<theB1<<G4endl;
735  return theB1/GeVSQ;
736 }
737 
738 // Returns half max(Q2=-t) in independent units (MeV^2)
739 G4double G4ChipsKaonPlusElasticXS::GetHMaxT()
740 {
741  return lastTM*HGeVSQ;
742 }
743 
744 // lastLP is used, so calculating tables, one need to remember and then recover lastLP
745 G4double G4ChipsKaonPlusElasticXS::GetTabValues(G4double lp, G4int PDG, G4int tgZ,
746  G4int tgN)
747 {
748  if(PDG!=321)G4cout<<"*Warning*G4ChipsKaonPlusElasticXS::GetTaV:PDG="<<PDG<<G4endl;
749  if(tgZ<0 || tgZ>92)
750  {
751  G4cout<<"*Warning*G4QKaonPlusElasticCS::GetTabV:(1-92)NoIsotopes for Z="<<tgZ<<G4endl;
752  return 0.;
753  }
754  G4int iZ=tgZ-1; // Z index
755  if(iZ<0)
756  {
757  iZ=0; // conversion of the neutron target to the proton target
758  tgZ=1;
759  tgN=0;
760  }
761  G4double p=std::exp(lp); // momentum
762  G4double sp=std::sqrt(p); // sqrt(p)
763  G4double p2=p*p;
764  G4double p3=p2*p;
765  G4double p4=p3*p;
766  if ( tgZ == 1 && tgN == 0 ) // KaonPlus+P
767  {
768  G4double dl2=lp-lastPAR[11];
769  theSS=lastPAR[34];
770  theS1=(lastPAR[12]+lastPAR[13]*dl2*dl2)/(1.+lastPAR[14]/p4/p)+
771  (lastPAR[15]/p2+lastPAR[16]*p)/(p4+lastPAR[17]*sp);
772  theB1=lastPAR[18]*std::pow(p,lastPAR[19])/(1.+lastPAR[20]/p3);
773  theS2=lastPAR[21]+lastPAR[22]/(p4+lastPAR[23]*p);
774  theB2=lastPAR[24]+lastPAR[25]/(p4+lastPAR[26]/sp);
775  theS3=lastPAR[27]+lastPAR[28]/(p4*p4+lastPAR[29]*p2+lastPAR[30]);
776  theB3=lastPAR[31]+lastPAR[32]/(p4+lastPAR[33]);
777  theS4=0.;
778  theB4=0.;
779  // Returns the total elastic pim-p cross-section (to avoid spoiling lastSIG)
780  G4double dp=lp-lastPAR[4];
781 //G4cout<<"lastPAR[8] "<<lastPAR[8]<<" lastPAR[9] "<<lastPAR[9]<<" lastPAR[10] "<<lastPAR[10]<<G4endl;
782  return lastPAR[0]/(lastPAR[2]+sqr(p-lastPAR[1]))+(lastPAR[3]*dp*dp+lastPAR[5])/
783  (1.-lastPAR[6]/sp+lastPAR[7]/p4)
784  +lastPAR[8]/(sqr(p-lastPAR[9])+lastPAR[10]); // Uzhi
785 
786  }
787  else
788  {
789  G4double p5=p4*p;
790  G4double p6=p5*p;
791  G4double p8=p6*p2;
792  G4double p10=p8*p2;
793  G4double p12=p10*p2;
794  G4double p16=p8*p8;
795  //G4double p24=p16*p8;
796  G4double dl=lp-5.;
797  G4double a=tgZ+tgN;
798  G4double pah=std::pow(p,a/2);
799  G4double pa=pah*pah;
800  G4double pa2=pa*pa;
801  if(a<6.5)
802  {
803  theS1=lastPAR[9]/(1.+lastPAR[10]*p4*pa)+lastPAR[11]/(p4+lastPAR[12]*p4/pa2)+
804  (lastPAR[13]*dl*dl+lastPAR[14])/(1.+lastPAR[15]/p2);
805  theB1=(lastPAR[16]+lastPAR[17]*p2)/(p4+lastPAR[18]/pah)+lastPAR[19];
806  theSS=lastPAR[20]/(1.+lastPAR[21]/p2)+lastPAR[22]/(p6/pa+lastPAR[23]/p16);
807  theS2=lastPAR[24]/(pa/p2+lastPAR[25]/p4)+lastPAR[26];
808  theB2=lastPAR[27]*std::pow(p,lastPAR[28])+lastPAR[29]/(p8+lastPAR[30]/p16);
809  theS3=lastPAR[31]/(pa*p+lastPAR[32]/pa)+lastPAR[33];
810  theB3=lastPAR[34]/(p3+lastPAR[35]/p6)+lastPAR[36]/(1.+lastPAR[37]/p2);
811  theS4=p2*(pah*lastPAR[38]*std::exp(-pah*lastPAR[39])+
812  lastPAR[40]/(1.+lastPAR[41]*std::pow(p,lastPAR[42])));
813  theB4=lastPAR[43]*pa/p2/(1.+pa*lastPAR[44]);
814  }
815  else
816  {
817  theS1=lastPAR[9]/(1.+lastPAR[10]/p4)+lastPAR[11]/(p4+lastPAR[12]/p2)+
818  lastPAR[13]/(p5+lastPAR[14]/p16);
819  theB1=(lastPAR[15]/p8+lastPAR[19])/(p+lastPAR[16]/std::pow(p,lastPAR[20]))+
820  lastPAR[17]/(1.+lastPAR[18]/p4);
821  theSS=lastPAR[21]/(p4/std::pow(p,lastPAR[23])+lastPAR[22]/p4);
822  theS2=lastPAR[24]/p4/(std::pow(p,lastPAR[25])+lastPAR[26]/p12)+lastPAR[27];
823  theB2=lastPAR[28]/std::pow(p,lastPAR[29])+lastPAR[30]/std::pow(p,lastPAR[31]);
824  theS3=lastPAR[32]/std::pow(p,lastPAR[35])/(1.+lastPAR[36]/p12)+
825  lastPAR[33]/(1.+lastPAR[34]/p6);
826  theB3=lastPAR[37]/p8+lastPAR[38]/p2+lastPAR[39]/(1.+lastPAR[40]/p8);
827  theS4=(lastPAR[41]/p4+lastPAR[46]/p)/(1.+lastPAR[42]/p10)+
828  (lastPAR[43]+lastPAR[44]*dl*dl)/(1.+lastPAR[45]/p12);
829  theB4=lastPAR[47]/(1.+lastPAR[48]/p)+lastPAR[49]*p4/(1.+lastPAR[50]*p5);
830  }
831  // Returns the total elastic (n/p)A cross-section (to avoid spoiling lastSIG)
832  G4double dlp=lp-lastPAR[4]; // ax
833  // p1 p2 p3 p4
834  return (lastPAR[0]*dlp*dlp+lastPAR[1]+lastPAR[2]/p2)/(1.+lastPAR[3]/p2/sp);
835  }
836  return 0.;
837 } // End of GetTableValues
838 
839 // Returns max -t=Q2 (GeV^2) for the momentum pP(GeV) and the target nucleus (tgN,tgZ)
840 G4double G4ChipsKaonPlusElasticXS::GetQ2max(G4int PDG, G4int tgZ, G4int tgN,
841  G4double pP)
842 {
843  G4double pP2=pP*pP; // squared momentum of the projectile
844  if(tgZ || tgN>-1) // ---> pipA
845  {
846  G4double mt=G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(tgZ,tgZ+tgN,0)->GetPDGMass()*.001; // Target mass in GeV
847 
848  G4double dmt=mt+mt;
849  G4double mds=dmt*std::sqrt(pP2+mK2)+mK2+mt*mt; // Mondelstam mds
850  return dmt*dmt*pP2/mds;
851  }
852  else
853  {
854  G4ExceptionDescription ed;
855  ed << "PDG = " << PDG << ",Z = " << tgZ << ", N = " << tgN
856  << ", while it is defined only for p projectiles & Z_target>0" << G4endl;
857  G4Exception("G4ChipsKaonPlusElasticXS::GetQ2max()", "HAD_CHPS_0000",
858  FatalException, ed);
859  return 0;
860  }
861 }
G4ExceptionDescription
std::ostringstream G4ExceptionDescription
Definition: globals.hh:76
G4ChipsKaonPlusElasticXS::GetIsoCrossSection
virtual G4double GetIsoCrossSection(const G4DynamicParticle *, G4int tgZ, G4int A, const G4Isotope *iso=0, const G4Element *elm=0, const G4Material *mat=0)
Definition: G4ChipsKaonPlusElasticXS.cc:178
G4CrossSectionFactory.hh
G4KaonPlus.hh
p
const char * p
Definition: xmltok.h:285
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G4ParticleDefinition * GetIon(G4int Z, G4int A, G4int lvl=0)
Definition: G4IonTable.cc:503
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int G4int
Definition: G4Types.hh:78
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#define G4MUTEX_INITIALIZER
Definition: G4Threading.hh:175
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G4double GetTotalMomentum() const
G4NucleiProperties.hh
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G4IonTable * GetIonTable() const
Definition: G4ParticleTable.cc:658
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#define G4UniformRand()
Definition: Randomize.hh:97
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G4GLOB_DLL std::ostream G4cout
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double A(double temperature)
Definition: G4DNAElectronHoleRecombination.cc:60
G4ParticleTable.hh
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bool G4bool
Definition: G4Types.hh:79
G4Nucleus.hh
G4ParticleDefinition.hh
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virtual G4bool IsIsoApplicable(const G4DynamicParticle *Pt, G4int Z, G4int A, const G4Element *elm, const G4Material *mat)
Definition: G4ChipsKaonPlusElasticXS.cc:169
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void G4Exception(const char *originOfException, const char *exceptionCode, G4ExceptionSeverity severity, const char *comments)
Definition: G4Exception.cc:41
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Definition: G4Threading.hh:173
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G4double GetExchangeT(G4int tZ, G4int tN, G4int pPDG)
Definition: G4ChipsKaonPlusElasticXS.cc:617
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#define G4_DECLARE_XS_FACTORY(cross_section)
Definition: G4CrossSectionFactory.hh:124
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G4double GetPDGMass() const
Definition: G4ParticleDefinition.hh:122
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static G4ParticleTable * GetParticleTable()
Definition: G4ParticleTable.cc:96
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static constexpr double gigaelectronvolt
Definition: G4SIunits.hh:209
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Definition: G4ExceptionSeverity.hh:60
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virtual G4double GetChipsCrossSection(G4double momentum, G4int Z, G4int N, G4int pdg)
Definition: G4ChipsKaonPlusElasticXS.cc:189
G4ChipsKaonPlusElasticXS.hh
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Definition: G4SIunits.hh:217
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Definition: G4ios.hh:61
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T sqr(const T &x)
Definition: templates.hh:145
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Definition: G4Types.hh:76
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Definition: G4KaonPlus.cc:113
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Definition: G4ElectroNuclearCrossSection.cc:66
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virtual void CrossSectionDescription(std::ostream &) const
Definition: G4ChipsKaonPlusElasticXS.cc:160
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static constexpr double millibarn
Definition: G4SIunits.hh:106