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26
27 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
28
29 #include <cmath>
30 #include <iostream>
31 #include "G4ecpssrBaseKxsModel.hh"
32 #include "globals.hh"
33 #include "G4PhysicalConstants.hh"
34 #include "G4SystemOfUnits.hh"
35 #include "G4AtomicTransitionManager.hh"
36 #include "G4NistManager.hh"
37 #include "G4Proton.hh"
38 #include "G4Alpha.hh"
39 #include "G4SemiLogInterpolation.hh"
40 #include "G4Exp.hh"
41
42 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
43
44 G4ecpssrBaseKxsModel::G4ecpssrBaseKxsModel()
45 {
46 verboseLevel=0;
47
48 // Storing C coefficients for high velocity formula
49 G4String fileC1("pixe/uf/c1");
50 tableC1 = new G4CrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.);
51
52 G4String fileC2("pixe/uf/c2");
53 tableC2 = new G4CrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.);
54
55 G4String fileC3("pixe/uf/c3");
56 tableC3 = new G4CrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.);
57
58 // Storing FK data needed for medium velocities region
59 const char* path = G4FindDataDir("G4LEDATA");
60
61 if (!path) {
62 G4Exception("G4ecpssrBaseKxsModel::G4ecpssrBaseKxsModel()", "em0006", FatalException,"G4LEDATA environment variable not set" );
63 return;
64 }
65
66 std::ostringstream fileName;
67 fileName << path << "/pixe/uf/FK.dat";
68 std::ifstream FK(fileName.str().c_str());
69
70 if (!FK)
71 G4Exception("G4ecpssrBaseKxsModel::G4ecpssrBaseKxsModel()", "em0003", FatalException,"error opening FK data file" );
72
73 dummyVec.push_back(0.);
74
75 while(!FK.eof())
76 {
77 double x;
78 double y;
79
80 FK>>x>>y;
81
82 // Mandatory vector initialization
83 if (x != dummyVec.back())
84 {
85 dummyVec.push_back(x);
86 aVecMap[x].push_back(-1.);
87 }
88
89 FK>>FKData[x][y];
90
91 if (y != aVecMap[x].back()) aVecMap[x].push_back(y);
92
93 }
94
95 tableC1->LoadData(fileC1);
96 tableC2->LoadData(fileC2);
97 tableC3->LoadData(fileC3);
98
99 }
100
101 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
102
103 void print (G4double elem)
104 {
105 G4cout << elem << " ";
106 }
107 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
108
109 G4ecpssrBaseKxsModel::~G4ecpssrBaseKxsModel()
110 {
111 delete tableC1;
112 delete tableC2;
113 delete tableC3;
114 }
115
116 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
117
118 G4double G4ecpssrBaseKxsModel::ExpIntFunction(G4int n,G4double x)
119
120 {
121 // this "ExpIntFunction" function allows fast evaluation of the n order exponential integral function En(x)
122 G4int i;
123 G4int ii;
124 G4int nm1;
125 G4double a;
126 G4double b;
127 G4double c;
128 G4double d;
129 G4double del;
130 G4double fact;
131 G4double h;
132 G4double psi;
133 G4double ans = 0;
134 const G4double euler= 0.5772156649;
135 const G4int maxit= 100;
136 const G4double fpmin = 1.0e-30;
137 const G4double eps = 1.0e-7;
138 nm1=n-1;
139 if (n<0 || x<0.0 || (x==0.0 && (n==0 || n==1))) {
140 G4cout << "*** WARNING in G4ecpssrBaseKxsModel::ExpIntFunction: bad arguments in ExpIntFunction" << G4endl;
141 G4cout << n << ", " << x << G4endl;
142 }
143 else {
144 if (n==0) ans=G4Exp(-x)/x;
145 else {
146 if (x==0.0) ans=1.0/nm1;
147 else {
148 if (x > 1.0) {
149 b=x+n;
150 c=1.0/fpmin;
151 d=1.0/b;
152 h=d;
153 for (i=1;i<=maxit;i++) {
154 a=-i*(nm1+i);
155 b +=2.0;
156 d=1.0/(a*d+b);
157 c=b+a/c;
158 del=c*d;
159 h *=del;
160 if (std::fabs(del-1.0) < eps) {
161 ans=h*G4Exp(-x);
162 return ans;
163 }
164 }
165 } else {
166 ans = (nm1!=0 ? 1.0/nm1 : -std::log(x)-euler);
167 fact=1.0;
168 for (i=1;i<=maxit;i++) {
169 fact *=-x/i;
170 if (i !=nm1) del = -fact/(i-nm1);
171 else {
172 psi = -euler;
173 for (ii=1;ii<=nm1;ii++) psi +=1.0/ii;
174 del=fact*(-std::log(x)+psi);
175 }
176 ans += del;
177 if (std::fabs(del) < std::fabs(ans)*eps) return ans;
178 }
179 }
180 }
181 }
182 }
183 return ans;
184 }
185
186 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
187
188 G4double G4ecpssrBaseKxsModel::CalculateCrossSection(G4int zTarget,G4double massIncident, G4double energyIncident)
189
190 {
191 // this K-CrossSection calculation method is done according to W.Brandt and G.Lapicki, Phys.Rev.A23(1981)//
192 G4NistManager* massManager = G4NistManager::Instance();
193
194 G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance();
195
196 G4double zIncident = 0;
197 G4Proton* aProtone = G4Proton::Proton();
198 G4Alpha* aAlpha = G4Alpha::Alpha();
199
200 if (massIncident == aProtone->GetPDGMass() )
201 {
202 zIncident = (aProtone->GetPDGCharge())/eplus;
203 }
204 else
205 {
206 if (massIncident == aAlpha->GetPDGMass())
207 {
208 zIncident = (aAlpha->GetPDGCharge())/eplus;
209 }
210 else
211 {
212 G4cout << "*** WARNING in G4ecpssrBaseKxsModel::CalculateCrossSection : we can treat only Proton or Alpha incident particles " << G4endl;
213 return 0;
214 }
215 }
216
217 if (verboseLevel>0) G4cout << " massIncident=" << massIncident<< G4endl;
218
219 G4double kBindingEnergy = transitionManager->Shell(zTarget,0)->BindingEnergy();
220
221 if (verboseLevel>0) G4cout << " kBindingEnergy=" << kBindingEnergy/eV<< G4endl;
222
223 G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2;
224
225 if (verboseLevel>0) G4cout << " massTarget=" << massTarget<< G4endl;
226
227 G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2; //the mass of the system (projectile, target)
228
229 if (verboseLevel>0) G4cout << " systemMass=" << systemMass<< G4endl;
230
231 constexpr G4double zkshell= 0.3;
232 // *** see Brandt, Phys Rev A23, p 1727
233
234 G4double screenedzTarget = zTarget-zkshell; // screenedzTarget is the screened nuclear charge of the target
235 // *** see Brandt, Phys Rev A23, p 1727
236
237 constexpr G4double rydbergMeV= 13.6056923e-6;
238
239 G4double tetaK = kBindingEnergy/((screenedzTarget*screenedzTarget)*rydbergMeV); //tetaK denotes the reduced binding energy of the electron
240 // *** see Rice, ADANDT 20, p 504, f 2
241
242 if (verboseLevel>0) G4cout << " tetaK=" << tetaK<< G4endl;
243
244 G4double velocity =(2./(tetaK*screenedzTarget))*std::pow(((energyIncident*electron_mass_c2)/(massIncident*rydbergMeV)),0.5);
245 // *** also called xiK
246 // *** see Brandt, Phys Rev A23, p 1727
247 // *** see Basbas, Phys Rev A17, p 1656, f4
248
249 if (verboseLevel>0) G4cout << " velocity=" << velocity<< G4endl;
250
251 const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ;
252
253 if (verboseLevel>0) G4cout << " bohrPow2Barn=" << bohrPow2Barn<< G4endl;
254
255 G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); //sigma0 is the initial cross section of K shell at stable state
256 // *** see Benka, ADANDT 22, p 220, f2, for protons
257 // *** see Basbas, Phys Rev A7, p 1000
258
259 if (verboseLevel>0) G4cout << " sigma0=" << sigma0<< G4endl;
260
261 const G4double kAnalyticalApproximation= 1.5;
262 G4double x = kAnalyticalApproximation/velocity;
263 // *** see Brandt, Phys Rev A23, p 1727
264 // *** see Brandt, Phys Rev A20, p 469, f16 in expression of h
265
266 if (verboseLevel>0) G4cout << " x=" << x<< G4endl;
267
268 G4double electrIonizationEnergy;
269 // *** see Basbas, Phys Rev A17, p1665, f27
270 // *** see Brandt, Phys Rev A20, p469
271 // *** see Liu, Comp Phys Comm 97, p325, f A5
272
273 if ((0.< x) && (x <= 0.035))
274 {
275 electrIonizationEnergy= 0.75*pi*(std::log(1./(x*x))-1.);
276 }
277 else
278 {
279 if ( (0.035 < x) && (x <=3.))
280 {
281 electrIonizationEnergy =G4Exp(-2.*x)/(0.031+(0.213*std::pow(x,0.5))+(0.005*x)-(0.069*std::pow(x,3./2.))+(0.324*x*x));
282 }
283
284 else
285 {
286 if ( (3.< x) && (x<=11.))
287 {
288 electrIonizationEnergy =2.*G4Exp(-2.*x)/std::pow(x,1.6);
289 }
290
291 else electrIonizationEnergy =0.;
292 }
293 }
294
295 if (verboseLevel>0) G4cout << " electrIonizationEnergy=" << electrIonizationEnergy<< G4endl;
296
297 G4double hFunction =(electrIonizationEnergy*2.)/(tetaK*std::pow(velocity,3)); //hFunction represents the correction for polarization effet
298 // *** see Brandt, Phys Rev A20, p 469, f16
299
300 if (verboseLevel>0) G4cout << " hFunction=" << hFunction<< G4endl;
301
302 G4double gFunction = (1.+(9.*velocity)+(31.*velocity*velocity)+(98.*std::pow(velocity,3.))+(12.*std::pow(velocity,4.))+(25.*std::pow(velocity,5.))
303 +(4.2*std::pow(velocity,6.))+(0.515*std::pow(velocity,7.)))/std::pow(1.+velocity,9.); //gFunction represents the correction for binding effet
304 // *** see Brandt, Phys Rev A20, p 469, f19
305
306 if (verboseLevel>0) G4cout << " gFunction=" << gFunction<< G4endl;
307
308 //-----------------------------------------------------------------------------------------------------------------------------
309
310 G4double sigmaPSS = 1.+(((2.*zIncident)/(screenedzTarget*tetaK))*(gFunction-hFunction)); //describes the perturbed stationnairy state of the affected atomic electon
311 // *** also called dzeta
312 // *** also called epsilon
313 // *** see Basbas, Phys Rev A17, p1667, f45
314
315 if (verboseLevel>0) G4cout << " sigmaPSS=" << sigmaPSS<< G4endl;
316
317 if (verboseLevel>0) G4cout << " sigmaPSS*tetaK=" << sigmaPSS*tetaK<< G4endl;
318
319 //----------------------------------------------------------------------------------------------------------------------------
320
321 const G4double cNaturalUnit= 1/fine_structure_const; // it's the speed of light according to Atomic-Unit-System
322
323 if (verboseLevel>0) G4cout << " cNaturalUnit=" << cNaturalUnit<< G4endl;
324
325 G4double ykFormula=0.4*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocity/sigmaPSS);
326 // *** also called yS
327 // *** see Brandt, Phys Rev A20, p467, f6
328 // *** see Brandt, Phys Rev A23, p1728
329
330 if (verboseLevel>0) G4cout << " ykFormula=" << ykFormula<< G4endl;
331
332 G4double relativityCorrection = std::pow((1.+(1.1*ykFormula*ykFormula)),0.5)+ykFormula;// the relativistic correction parameter
333 // *** also called mRS
334 // *** see Brandt, Phys Rev A20, p467, f6
335
336 if (verboseLevel>0) G4cout << " relativityCorrection=" << relativityCorrection<< G4endl;
337
338 G4double reducedVelocity = velocity*std::pow(relativityCorrection,0.5); // presents the reduced collision velocity parameter
339 // *** also called xiR
340 // *** see Brandt, Phys Rev A20, p468, f7
341 // *** see Brandt, Phys Rev A23, p1728
342
343 if (verboseLevel>0) G4cout << " reducedVelocity=" << reducedVelocity<< G4endl;
344
345 G4double etaOverTheta2 = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget)
346 /(sigmaPSS*tetaK)/(sigmaPSS*tetaK);
347 // *** see Benka, ADANDT 22, p220, f4 for eta
348 // then we use sigmaPSS*tetaK == epsilon*tetaK
349
350 if (verboseLevel>0) G4cout << " etaOverTheta2=" << etaOverTheta2<< G4endl;
351
352 G4double universalFunction = 0;
353
354 // low velocity formula
355 // *****************
356 if ( velocity < 1. )
357 // OR
358 //if ( reducedVelocity/sigmaPSS < 1.)
359 // *** see Brandt, Phys Rev A23, p1727
360 // *** reducedVelocity/sigmaPSS is also called xiR/dzeta
361 // *****************
362 {
363 if (verboseLevel>0) G4cout << " Notice : FK is computed from low velocity formula" << G4endl;
364
365 universalFunction = (std::pow(2.,9.)/45.)*std::pow(reducedVelocity/sigmaPSS,8.)*std::pow((1.+(1.72*(reducedVelocity/sigmaPSS)*(reducedVelocity/sigmaPSS))),-4.);// is the reduced universal cross section
366 // *** see Brandt, Phys Rev A23, p1728
367
368 if (verboseLevel>0) G4cout << " universalFunction by Brandt 1981 =" << universalFunction<< G4endl;
369
370 }
371 else
372 {
373
374 if ( etaOverTheta2 > 86.6 && (sigmaPSS*tetaK) > 0.4 && (sigmaPSS*tetaK) < 2.9996 )
375 {
376 // High and medium energies. Method from Rice ADANDT 20, p506, 1977 on tables from Benka 1978
377
378 if (verboseLevel>0) G4cout << " Notice : FK is computed from high velocity formula" << G4endl;
379
380 if (verboseLevel>0) G4cout << " sigmaPSS*tetaK=" << sigmaPSS*tetaK << G4endl;
381
382 G4double C1= tableC1->FindValue(sigmaPSS*tetaK);
383 G4double C2= tableC2->FindValue(sigmaPSS*tetaK);
384 G4double C3= tableC3->FindValue(sigmaPSS*tetaK);
385
386 if (verboseLevel>0) G4cout << " C1=" << C1 << G4endl;
387 if (verboseLevel>0) G4cout << " C2=" << C2 << G4endl;
388 if (verboseLevel>0) G4cout << " C3=" << C3 << G4endl;
389
390 G4double etaK = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget);
391 // *** see Benka, ADANDT 22, p220, f4 for eta
392
393 if (verboseLevel>0) G4cout << " etaK=" << etaK << G4endl;
394
395 G4double etaT = (sigmaPSS*tetaK)*(sigmaPSS*tetaK)*(86.6); // at any theta, the largest tabulated etaOverTheta2 is 86.6
396 // *** see Rice, ADANDT 20, p506
397
398 if (verboseLevel>0) G4cout << " etaT=" << etaT << G4endl;
399
400 G4double fKT = FunctionFK((sigmaPSS*tetaK),86.6)*(etaT/(sigmaPSS*tetaK));
401 // *** see Rice, ADANDT 20, p506
402
403 if (FunctionFK((sigmaPSS*tetaK),86.6)<=0.)
404 {
405 G4cout <<
406 "*** WARNING in G4ecpssrBaseKxsModel::CalculateCrossSection : unable to interpolate FK function in high velocity region ! ***" << G4endl;
407 return 0;
408 }
409
410 if (verboseLevel>0) G4cout << " FunctionFK=" << FunctionFK((sigmaPSS*tetaK),86.6) << G4endl;
411
412 if (verboseLevel>0) G4cout << " fKT=" << fKT << G4endl;
413
414 G4double GK = C2/(4*etaK) + C3/(32*etaK*etaK);
415
416 if (verboseLevel>0) G4cout << " GK=" << GK << G4endl;
417
418 G4double GT = C2/(4*etaT) + C3/(32*etaT*etaT);
419
420 if (verboseLevel>0) G4cout << " GT=" << GT << G4endl;
421
422 G4double DT = fKT - C1*std::log(etaT) + GT;
423
424 if (verboseLevel>0) G4cout << " DT=" << DT << G4endl;
425
426 G4double fKK = C1*std::log(etaK) + DT - GK;
427
428 if (verboseLevel>0) G4cout << " fKK=" << fKK << G4endl;
429
430 G4double universalFunction3= fKK/(etaK/tetaK);
431 // *** see Rice, ADANDT 20, p505, f7
432
433 if (verboseLevel>0) G4cout << " universalFunction3=" << universalFunction3 << G4endl;
434
435 universalFunction=universalFunction3;
436
437 }
438 else if ( etaOverTheta2 >= 1.e-3 && etaOverTheta2 <= 86.6 && (sigmaPSS*tetaK) >= 0.4 && (sigmaPSS*tetaK) <= 2.9996 )
439 {
440 // From Benka 1978
441
442 if (verboseLevel>0) G4cout << " Notice : FK is computed from INTERPOLATED data" << G4endl;
443
444 G4double universalFunction2 = FunctionFK((sigmaPSS*tetaK),etaOverTheta2);
445
446 if (universalFunction2<=0)
447 {
448 G4cout <<
449 "*** WARNING : G4ecpssrBaseKxsModel::CalculateCrossSection is unable to interpolate FK function in medium velocity region ! ***" << G4endl;
450 return 0;
451 }
452
453 if (verboseLevel>0) G4cout << " universalFunction2=" << universalFunction2 << " for theta=" << sigmaPSS*tetaK << " and etaOverTheta2=" << etaOverTheta2 << G4endl;
454
455 universalFunction=universalFunction2;
456 }
457
458 }
459
460 //----------------------------------------------------------------------------------------------------------------------
461
462 G4double sigmaPSSR = (sigma0/(sigmaPSS*tetaK))*universalFunction; //sigmaPSSR is the straight-line K-shell ionization cross section
463 // *** see Benka, ADANDT 22, p220, f1
464
465 if (verboseLevel>0) G4cout << " sigmaPSSR=" << sigmaPSSR<< G4endl;
466
467 //-----------------------------------------------------------------------------------------------------------------------
468
469 G4double pssDeltaK = (4./(systemMass*sigmaPSS*tetaK))*(sigmaPSS/velocity)*(sigmaPSS/velocity);
470 // *** also called dzetaK*deltaK
471 // *** see Brandt, Phys Rev A23, p1727, f B2
472
473 if (verboseLevel>0) G4cout << " pssDeltaK=" << pssDeltaK<< G4endl;
474
475 if (pssDeltaK>1) return 0.;
476
477 G4double energyLoss = std::pow(1-pssDeltaK,0.5); //energyLoss incorporates the straight-line energy-loss
478 // *** also called zK
479 // *** see Brandt, Phys Rev A23, p1727, after f B2
480
481 if (verboseLevel>0) G4cout << " energyLoss=" << energyLoss<< G4endl;
482
483 G4double energyLossFunction = (std::pow(2.,-9)/8.)*((((9.*energyLoss)-1.)*std::pow(1.+energyLoss,9.))+(((9.*energyLoss)+1.)*std::pow(1.-energyLoss,9.)));//energy loss function
484 // *** also called fs
485 // *** see Brandt, Phys Rev A23, p1718, f7
486
487 if (verboseLevel>0) G4cout << " energyLossFunction=" << energyLossFunction<< G4endl;
488
489 //----------------------------------------------------------------------------------------------------------------------------------------------
490
491 G4double coulombDeflection = (4.*pi*zIncident/systemMass)*std::pow(tetaK*sigmaPSS,-2.)*std::pow(velocity/sigmaPSS,-3.)*(zTarget/screenedzTarget); //incorporates Coulomb deflection parameter
492 // *** see Brandt, Phys Rev A23, p1727, f B3
493
494 if (verboseLevel>0) G4cout << " cParameter-short=" << coulombDeflection<< G4endl;
495
496 G4double cParameter = 2.*coulombDeflection/(energyLoss*(energyLoss+1.));
497 // *** see Brandt, Phys Rev A23, p1727, f B4
498
499 if (verboseLevel>0) G4cout << " cParameter-full=" << cParameter<< G4endl;
500
501 G4double coulombDeflectionFunction = 9.*ExpIntFunction(10,cParameter); //this function describes Coulomb-deflection effect
502 // *** see Brandt, Phys Rev A23, p1727
503
504 if (verboseLevel>0) G4cout << " ExpIntFunction(10,cParameter) =" << ExpIntFunction(10,cParameter) << G4endl;
505
506 if (verboseLevel>0) G4cout << " coulombDeflectionFunction =" << coulombDeflectionFunction << G4endl;
507
508 //--------------------------------------------------------------------------------------------------------------------------------------------------
509
510 G4double crossSection = 0;
511
512 crossSection = energyLossFunction* coulombDeflectionFunction*sigmaPSSR; //this ECPSSR cross section is estimated at perturbed-stationnairy-state(PSS)
513 //and it's reduced by the energy-loss(E),the Coulomb deflection(C),
514 //and the relativity(R) effects
515
516 //--------------------------------------------------------------------------------------------------------------------------------------------------
517
518 if (crossSection >= 0) {
519 return crossSection * barn;
520 }
521 else {return 0;}
522
523 }
524
525 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
526
527 G4double G4ecpssrBaseKxsModel::FunctionFK(G4double k, G4double theta)
528 {
529
530 G4double sigma = 0.;
531 G4double valueT1 = 0;
532 G4double valueT2 = 0;
533 G4double valueE21 = 0;
534 G4double valueE22 = 0;
535 G4double valueE12 = 0;
536 G4double valueE11 = 0;
537 G4double xs11 = 0;
538 G4double xs12 = 0;
539 G4double xs21 = 0;
540 G4double xs22 = 0;
541
542 // PROTECTION TO ALLOW INTERPOLATION AT MINIMUM AND MAXIMUM EtaK/Theta2 values
543 // (in particular for FK computation at 8.66EXX for high velocity formula)
544
545 if (
546 theta==8.66e-3 ||
547 theta==8.66e-2 ||
548 theta==8.66e-1 ||
549 theta==8.66e+0 ||
550 theta==8.66e+1
551 ) theta=theta-1e-12;
552
553 if (
554 theta==1.e-3 ||
555 theta==1.e-2 ||
556 theta==1.e-1 ||
557 theta==1.e+00 ||
558 theta==1.e+01
559 ) theta=theta+1e-12;
560
561 // END PROTECTION
562
563 auto t2 = std::upper_bound(dummyVec.begin(),dummyVec.end(), k);
564 auto t1 = t2-1;
565
566 auto e12 = std::upper_bound(aVecMap[(*t1)].begin(),aVecMap[(*t1)].end(), theta);
567 auto e11 = e12-1;
568
569 auto e22 = std::upper_bound(aVecMap[(*t2)].begin(),aVecMap[(*t2)].end(), theta);
570 auto e21 = e22-1;
571
572 valueT1 =*t1;
573 valueT2 =*t2;
574 valueE21 =*e21;
575 valueE22 =*e22;
576 valueE12 =*e12;
577 valueE11 =*e11;
578
579 xs11 = FKData[valueT1][valueE11];
580 xs12 = FKData[valueT1][valueE12];
581 xs21 = FKData[valueT2][valueE21];
582 xs22 = FKData[valueT2][valueE22];
583
584 G4double xsProduct = xs11 * xs12 * xs21 * xs22;
585
586 if (xs11==0 || xs12==0 ||xs21==0 ||xs22==0) return (0.);
587
588 if (xsProduct != 0.)
589 {
590 sigma = QuadInterpolator( valueE11, valueE12,
591 valueE21, valueE22,
592 xs11, xs12,
593 xs21, xs22,
594 valueT1, valueT2,
595 k, theta );
596 }
597
598 return sigma;
599 }
600
601 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
602
603 G4double G4ecpssrBaseKxsModel::LinLogInterpolate(G4double e1,
604 G4double e2,
605 G4double e,
606 G4double xs1,
607 G4double xs2)
608 {
609 G4double d1 = std::log(xs1);
610 G4double d2 = std::log(xs2);
611 G4double value = G4Exp(d1 + (d2 - d1)*(e - e1)/ (e2 - e1));
612 return value;
613 }
614
615 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
616
617 G4double G4ecpssrBaseKxsModel::LogLogInterpolate(G4double e1,
618 G4double e2,
619 G4double e,
620 G4double xs1,
621 G4double xs2)
622 {
623 G4double a = (std::log10(xs2)-std::log10(xs1)) / (std::log10(e2)-std::log10(e1));
624 G4double b = std::log10(xs2) - a*std::log10(e2);
625 G4double sigma = a*std::log10(e) + b;
626 G4double value = (std::pow(10.,sigma));
627 return value;
628 }
629
630 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
631
632 G4double G4ecpssrBaseKxsModel::QuadInterpolator(G4double e11, G4double e12,
633 G4double e21, G4double e22,
634 G4double xs11, G4double xs12,
635 G4double xs21, G4double xs22,
636 G4double t1, G4double t2,
637 G4double t, G4double e)
638 {
639 // Log-Log
640 G4double interpolatedvalue1 = LogLogInterpolate(e11, e12, e, xs11, xs12);
641 G4double interpolatedvalue2 = LogLogInterpolate(e21, e22, e, xs21, xs22);
642 G4double value = LogLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2);
643
644 return value;
645 }
646