1 | // |
---|
2 | // ******************************************************************** |
---|
3 | // * License and Disclaimer * |
---|
4 | // * * |
---|
5 | // * The Geant4 software is copyright of the Copyright Holders of * |
---|
6 | // * the Geant4 Collaboration. It is provided under the terms and * |
---|
7 | // * conditions of the Geant4 Software License, included in the file * |
---|
8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
---|
9 | // * include a list of copyright holders. * |
---|
10 | // * * |
---|
11 | // * Neither the authors of this software system, nor their employing * |
---|
12 | // * institutes,nor the agencies providing financial support for this * |
---|
13 | // * work make any representation or warranty, express or implied, * |
---|
14 | // * regarding this software system or assume any liability for its * |
---|
15 | // * use. Please see the license in the file LICENSE and URL above * |
---|
16 | // * for the full disclaimer and the limitation of liability. * |
---|
17 | // * * |
---|
18 | // * This code implementation is the result of the scientific and * |
---|
19 | // * technical work of the GEANT4 collaboration. * |
---|
20 | // * By using, copying, modifying or distributing the software (or * |
---|
21 | // * any work based on the software) you agree to acknowledge its * |
---|
22 | // * use in resulting scientific publications, and indicate your * |
---|
23 | // * acceptance of all terms of the Geant4 Software license. * |
---|
24 | // ******************************************************************** |
---|
25 | // |
---|
26 | //$Id: G4ecpssrKCrossSection.cc,v 1.7 2009/11/11 09:14:53 mantero Exp $ |
---|
27 | // GEANT4 tag $Name: geant4-09-03-cand-01 $ |
---|
28 | // |
---|
29 | // Author: Haifa Ben Abdelouahed |
---|
30 | // |
---|
31 | // |
---|
32 | // History: |
---|
33 | // ----------- |
---|
34 | // 21 Apr 2008 H. Ben Abdelouahed 1st implementation |
---|
35 | // 21 Apr 2008 MGP Major revision according to a design iteration |
---|
36 | // 21 Apr 2009 ALF Some correction for compatibility to G4VShellCrossSection |
---|
37 | // and changed name to G4ecpssrKCrossSection |
---|
38 | // 11 Nov 2009 ALF update and code cleaning for the Dec Release |
---|
39 | // |
---|
40 | // ------------------------------------------------------------------- |
---|
41 | // Class description: |
---|
42 | // Low Energy Electromagnetic Physics, Cross section, p ionisation, K shell |
---|
43 | // Further documentation available from http://www.ge.infn.it/geant4/lowE |
---|
44 | // ------------------------------------------------------------------- |
---|
45 | |
---|
46 | |
---|
47 | #include "globals.hh" |
---|
48 | #include "G4ecpssrKCrossSection.hh" |
---|
49 | #include "G4AtomicTransitionManager.hh" |
---|
50 | #include "G4NistManager.hh" |
---|
51 | #include "G4Proton.hh" |
---|
52 | #include "G4Alpha.hh" |
---|
53 | #include <math.h> |
---|
54 | #include <iostream> |
---|
55 | |
---|
56 | #include "G4SemiLogInterpolation.hh" |
---|
57 | |
---|
58 | |
---|
59 | G4ecpssrKCrossSection::G4ecpssrKCrossSection() |
---|
60 | { |
---|
61 | |
---|
62 | // Storing FK data needed for medium velocities region |
---|
63 | |
---|
64 | char *path = getenv("G4LEDATA"); |
---|
65 | |
---|
66 | if (!path) |
---|
67 | G4Exception("G4ecpssrKCrossSection::CalculateCrossSection: G4LEDATA environment variable not set"); |
---|
68 | |
---|
69 | std::ostringstream fileName; |
---|
70 | fileName << path << "/pixe/uf/FK.dat"; |
---|
71 | std::ifstream FK(fileName.str().c_str()); |
---|
72 | |
---|
73 | if (!FK) G4Exception("G4ecpssrKCrossSection::CalculateCrossSection: error opening FK data file"); |
---|
74 | |
---|
75 | dummyVec.push_back(0.); |
---|
76 | |
---|
77 | while(!FK.eof()) |
---|
78 | { |
---|
79 | double x; |
---|
80 | double y; |
---|
81 | |
---|
82 | FK>>x>>y; |
---|
83 | |
---|
84 | // Mandatory vector initialization |
---|
85 | if (x != dummyVec.back()) |
---|
86 | { |
---|
87 | dummyVec.push_back(x); |
---|
88 | aVecMap[x].push_back(-1.); |
---|
89 | } |
---|
90 | |
---|
91 | FK>>FKData[x][y]; |
---|
92 | |
---|
93 | if (y != aVecMap[x].back()) aVecMap[x].push_back(y); |
---|
94 | |
---|
95 | } |
---|
96 | |
---|
97 | // Storing C coefficients for high velocity formula |
---|
98 | |
---|
99 | G4String fileC1("pixe/uf/c1"); |
---|
100 | tableC1 = new G4DNACrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.); |
---|
101 | tableC1->LoadData(fileC1); |
---|
102 | |
---|
103 | G4String fileC2("pixe/uf/c2"); |
---|
104 | tableC2 = new G4DNACrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.); |
---|
105 | tableC2->LoadData(fileC2); |
---|
106 | |
---|
107 | G4String fileC3("pixe/uf/c3"); |
---|
108 | tableC3 = new G4DNACrossSectionDataSet(new G4SemiLogInterpolation, 1.,1.); |
---|
109 | tableC3->LoadData(fileC3); |
---|
110 | |
---|
111 | // |
---|
112 | |
---|
113 | verboseLevel=0; |
---|
114 | } |
---|
115 | |
---|
116 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
117 | |
---|
118 | void print (G4double elem) |
---|
119 | { |
---|
120 | G4cout << elem << " "; |
---|
121 | } |
---|
122 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
123 | |
---|
124 | G4ecpssrKCrossSection::~G4ecpssrKCrossSection() |
---|
125 | { |
---|
126 | |
---|
127 | delete tableC1; |
---|
128 | delete tableC2; |
---|
129 | delete tableC3; |
---|
130 | |
---|
131 | } |
---|
132 | |
---|
133 | //---------------------------------this "ExpIntFunction" function allows fast evaluation of the n order exponential integral function En(x)------ |
---|
134 | |
---|
135 | G4double G4ecpssrKCrossSection::ExpIntFunction(G4int n,G4double x) |
---|
136 | |
---|
137 | { |
---|
138 | G4int i; |
---|
139 | G4int ii; |
---|
140 | G4int nm1; |
---|
141 | G4double a; |
---|
142 | G4double b; |
---|
143 | G4double c; |
---|
144 | G4double d; |
---|
145 | G4double del; |
---|
146 | G4double fact; |
---|
147 | G4double h; |
---|
148 | G4double psi; |
---|
149 | G4double ans = 0; |
---|
150 | const G4double euler= 0.5772156649; |
---|
151 | const G4int maxit= 100; |
---|
152 | const G4double fpmin = 1.0e-30; |
---|
153 | const G4double eps = 1.0e-7; |
---|
154 | nm1=n-1; |
---|
155 | if (n<0 || x<0.0 || (x==0.0 && (n==0 || n==1))) |
---|
156 | G4cout << "bad arguments in ExpIntFunction" << G4endl; |
---|
157 | else { |
---|
158 | if (n==0) ans=std::exp(-x)/x; |
---|
159 | else { |
---|
160 | if (x==0.0) ans=1.0/nm1; |
---|
161 | else { |
---|
162 | if (x > 1.0) { |
---|
163 | b=x+n; |
---|
164 | c=1.0/fpmin; |
---|
165 | d=1.0/b; |
---|
166 | h=d; |
---|
167 | for (i=1;i<=maxit;i++) { |
---|
168 | a=-i*(nm1+i); |
---|
169 | b +=2.0; |
---|
170 | d=1.0/(a*d+b); |
---|
171 | c=b+a/c; |
---|
172 | del=c*d; |
---|
173 | h *=del; |
---|
174 | if (std::fabs(del-1.0) < eps) { |
---|
175 | ans=h*std::exp(-x); |
---|
176 | return ans; |
---|
177 | } |
---|
178 | } |
---|
179 | } else { |
---|
180 | ans = (nm1!=0 ? 1.0/nm1 : -std::log(x)-euler); |
---|
181 | fact=1.0; |
---|
182 | for (i=1;i<=maxit;i++) { |
---|
183 | fact *=-x/i; |
---|
184 | if (i !=nm1) del = -fact/(i-nm1); |
---|
185 | else { |
---|
186 | psi = -euler; |
---|
187 | for (ii=1;ii<=nm1;ii++) psi +=1.0/ii; |
---|
188 | del=fact*(-std::log(x)+psi); |
---|
189 | } |
---|
190 | ans += del; |
---|
191 | if (std::fabs(del) < std::fabs(ans)*eps) return ans; |
---|
192 | } |
---|
193 | } |
---|
194 | } |
---|
195 | } |
---|
196 | } |
---|
197 | return ans; |
---|
198 | } |
---|
199 | //----------------------------------------------------------------------------------------------------------- |
---|
200 | |
---|
201 | |
---|
202 | |
---|
203 | G4double G4ecpssrKCrossSection::CalculateCrossSection(G4int zTarget,G4double massIncident, G4double energyIncident) |
---|
204 | |
---|
205 | //this K-CrossSection calculation method is done according to W.Brandt and G.Lapicki, Phys.Rev.A23(1981)// |
---|
206 | |
---|
207 | { |
---|
208 | |
---|
209 | //if (energyIncident < 150 *keV) {return 0;} |
---|
210 | |
---|
211 | G4NistManager* massManager = G4NistManager::Instance(); |
---|
212 | |
---|
213 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
---|
214 | |
---|
215 | G4double zIncident = 0; |
---|
216 | G4Proton* aProtone = G4Proton::Proton(); |
---|
217 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
---|
218 | |
---|
219 | if (massIncident == aProtone->GetPDGMass() ) |
---|
220 | { |
---|
221 | |
---|
222 | zIncident = (aProtone->GetPDGCharge())/eplus; |
---|
223 | |
---|
224 | // G4cout << "zincident:" << zIncident << G4endl; |
---|
225 | } |
---|
226 | else |
---|
227 | { |
---|
228 | if (massIncident == aAlpha->GetPDGMass()) |
---|
229 | { |
---|
230 | |
---|
231 | zIncident = (aAlpha->GetPDGCharge())/eplus; |
---|
232 | |
---|
233 | // G4cout << "zincident:" << zIncident << G4endl; |
---|
234 | } |
---|
235 | else |
---|
236 | { |
---|
237 | G4cout << "we can treat only Proton or Alpha incident particles " << G4endl; |
---|
238 | return 0; |
---|
239 | } |
---|
240 | } |
---|
241 | |
---|
242 | /////////////////////////////////////////// |
---|
243 | //from here I will substitute this version with Seb's one. |
---|
244 | /////////////////////////////////////////// |
---|
245 | |
---|
246 | |
---|
247 | if (verboseLevel>0) G4cout << " massIncident=" << massIncident<< G4endl; |
---|
248 | |
---|
249 | G4double kBindingEnergy = transitionManager->Shell(zTarget,0)->BindingEnergy(); |
---|
250 | if (verboseLevel>0) G4cout << " kBindingEnergy=" << kBindingEnergy/eV<< G4endl; |
---|
251 | |
---|
252 | G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; |
---|
253 | if (verboseLevel>0) G4cout << " massTarget=" << massTarget<< G4endl; |
---|
254 | |
---|
255 | G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2; //the mass of the system (projectile, target) |
---|
256 | if (verboseLevel>0) G4cout << " systemMass=" << systemMass<< G4endl; |
---|
257 | |
---|
258 | const G4double zkshell= 0.3; |
---|
259 | |
---|
260 | G4double screenedzTarget = zTarget-zkshell; // screenedzTarget is the screened nuclear charge of the target |
---|
261 | |
---|
262 | const G4double rydbergMeV= 13.6e-6; |
---|
263 | |
---|
264 | G4double tetaK = kBindingEnergy/((screenedzTarget*screenedzTarget)*rydbergMeV); //tetaK denotes the reduced binding energy of the electron |
---|
265 | if (verboseLevel>0) G4cout << " tetaK=" << tetaK<< G4endl; |
---|
266 | |
---|
267 | G4double velocity =(2./(tetaK*screenedzTarget))*std::pow(((energyIncident*electron_mass_c2)/(massIncident*rydbergMeV)),0.5); |
---|
268 | if (verboseLevel>0) G4cout << " velocity=" << velocity<< G4endl; |
---|
269 | |
---|
270 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; |
---|
271 | if (verboseLevel>0) G4cout << " bohrPow2Barn=" << bohrPow2Barn<< G4endl; |
---|
272 | |
---|
273 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); //sigma0 is the initial cross section of K shell at stable state |
---|
274 | if (verboseLevel>0) G4cout << " sigma0=" << sigma0<< G4endl; |
---|
275 | |
---|
276 | const G4double kAnalyticalApproximation= 1.5; |
---|
277 | |
---|
278 | G4double x = kAnalyticalApproximation/velocity; |
---|
279 | if (verboseLevel>0) G4cout << " x=" << x<< G4endl; |
---|
280 | |
---|
281 | |
---|
282 | |
---|
283 | |
---|
284 | G4double electrIonizationEnergy; |
---|
285 | |
---|
286 | if ( x<0.035) |
---|
287 | { |
---|
288 | electrIonizationEnergy= 0.75*pi*(std::log(1./(x*x))-1.); |
---|
289 | } |
---|
290 | else |
---|
291 | { |
---|
292 | if ( x<3.) |
---|
293 | { |
---|
294 | electrIonizationEnergy =std::exp(-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)); |
---|
295 | } |
---|
296 | |
---|
297 | else |
---|
298 | { |
---|
299 | electrIonizationEnergy =2.*std::exp(-2.*x)/std::pow(x,1.6); } |
---|
300 | } |
---|
301 | |
---|
302 | if (verboseLevel>0) G4cout << " electrIonizationEnergy=" << electrIonizationEnergy<< G4endl; |
---|
303 | |
---|
304 | G4double hFunction =(electrIonizationEnergy*2.)/(tetaK*std::pow(velocity,3)); //hFunction represents the correction for polarization effet |
---|
305 | |
---|
306 | if (verboseLevel>0) G4cout << " hFunction=" << hFunction<< G4endl; |
---|
307 | |
---|
308 | G4double gFunction = (1.+(9.*velocity)+(31.*velocity*velocity)+(98.*std::pow(velocity,3.))+(12.*std::pow(velocity,4.))+(25.*std::pow(velocity,5.)) |
---|
309 | +(4.2*std::pow(velocity,6.))+(0.515*std::pow(velocity,7.)))/std::pow(1.+velocity,9.); //gFunction represents the correction for binding effet |
---|
310 | if (verboseLevel>0) G4cout << " gFunction=" << gFunction<< G4endl; |
---|
311 | |
---|
312 | //----------------------------------------------------------------------------------------------------------------------------- |
---|
313 | |
---|
314 | G4double sigmaPSS = 1.+(((2.*zIncident)/(screenedzTarget*tetaK))*(gFunction-hFunction)); //describes the perturbed stationnairy state of the affected atomic electon |
---|
315 | if (verboseLevel>0) G4cout << " sigmaPSS=" << sigmaPSS<< G4endl; |
---|
316 | if (verboseLevel>0) G4cout << " sigmaPSS*tetaK=" << sigmaPSS*tetaK<< G4endl; |
---|
317 | |
---|
318 | //---------------------------------------------------------------------------------------------------------------------------- |
---|
319 | |
---|
320 | const G4double cNaturalUnit= 1/fine_structure_const; // it's the speed of light according to Atomic-Unit-System |
---|
321 | if (verboseLevel>0) G4cout << " cNaturalUnit=" << cNaturalUnit<< G4endl; |
---|
322 | |
---|
323 | G4double ykFormula=0.4*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocity/sigmaPSS); |
---|
324 | if (verboseLevel>0) G4cout << " ykFormula=" << ykFormula<< G4endl; |
---|
325 | |
---|
326 | G4double relativityCorrection = std::pow((1.+(1.1*ykFormula*ykFormula)),0.5)+ykFormula;// the relativistic correction parameter |
---|
327 | if (verboseLevel>0) G4cout << " relativityCorrection=" << relativityCorrection<< G4endl; |
---|
328 | |
---|
329 | G4double reducedVelocity = velocity*std::pow(relativityCorrection,0.5); // presents the reduced collision velocity parameter |
---|
330 | if (verboseLevel>0) G4cout << " reducedVelocity=" << reducedVelocity<< G4endl; |
---|
331 | |
---|
332 | G4double etaOverTheta2 = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget) |
---|
333 | /(sigmaPSS*tetaK)/(sigmaPSS*tetaK); |
---|
334 | if (verboseLevel>0) G4cout << " etaOverTheta2=" << etaOverTheta2<< G4endl; |
---|
335 | |
---|
336 | // low velocity formula |
---|
337 | |
---|
338 | G4double 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 |
---|
339 | if (verboseLevel>0) G4cout << " universalFunction by Brandt 1981 =" << universalFunction<< G4endl; |
---|
340 | |
---|
341 | // Alternative formula by Rice 1977, closer to tabulated data than the above function from Brandt 1981 |
---|
342 | |
---|
343 | G4double x_ = etaOverTheta2; |
---|
344 | if (verboseLevel>0) G4cout << " x_=" << x_ << G4endl; |
---|
345 | |
---|
346 | G4double b0 = pow(2.,17)/45.; |
---|
347 | if (verboseLevel>0) G4cout << " b0=" << b0 << G4endl; |
---|
348 | |
---|
349 | G4double b1 = 19*(sigmaPSS*tetaK) - 480./11.; |
---|
350 | if (verboseLevel>0) G4cout << " b1=" << b1 << G4endl; |
---|
351 | |
---|
352 | G4double b2 = (720./7.)*(23*(sigmaPSS*tetaK)*(sigmaPSS*tetaK)/11 - 97*(sigmaPSS*tetaK)/9. + 160./13); |
---|
353 | if (verboseLevel>0) G4cout << " b2=" << b2 << G4endl; |
---|
354 | |
---|
355 | universalFunction = b0*x_*x_*x_*x_*(1+b1*x_+b2*x_*x_); |
---|
356 | |
---|
357 | if (verboseLevel>0) G4cout << " universalFunction by Rice 1977 =" << universalFunction<< G4endl; |
---|
358 | |
---|
359 | |
---|
360 | if ( etaOverTheta2 < 0.01 ) |
---|
361 | { |
---|
362 | if (verboseLevel>0) G4cout << " Notice : FK is computed from low velocity formula" << G4endl; |
---|
363 | |
---|
364 | } |
---|
365 | |
---|
366 | else |
---|
367 | |
---|
368 | { |
---|
369 | |
---|
370 | if ( etaOverTheta2 > 95 && (sigmaPSS*tetaK) > 0.4 && (sigmaPSS*tetaK) < 1.7 ) |
---|
371 | { |
---|
372 | // From Rice 1977 |
---|
373 | |
---|
374 | if (verboseLevel>0) G4cout << " Notice : FK is computed from high velocity formula" << G4endl; |
---|
375 | |
---|
376 | if (verboseLevel>0) G4cout << " sigmaPSS*tetaK=" << sigmaPSS*tetaK << G4endl; |
---|
377 | |
---|
378 | G4double C1= tableC1->FindValue(sigmaPSS*tetaK); |
---|
379 | G4double C2= tableC2->FindValue(sigmaPSS*tetaK); |
---|
380 | G4double C3= tableC3->FindValue(sigmaPSS*tetaK); |
---|
381 | if (verboseLevel>0) G4cout << " C1=" << C1 << G4endl; |
---|
382 | if (verboseLevel>0) G4cout << " C2=" << C2 << G4endl; |
---|
383 | if (verboseLevel>0) G4cout << " C3=" << C3 << G4endl; |
---|
384 | |
---|
385 | G4double etaK = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); |
---|
386 | if (verboseLevel>0) G4cout << " etaK=" << etaK << G4endl; |
---|
387 | |
---|
388 | G4double etaT = (sigmaPSS*tetaK)*(sigmaPSS*tetaK)*(95.); // at any theta, the largest tabulated etaOverTheta2 is 95 |
---|
389 | if (verboseLevel>0) G4cout << " etaT=" << etaT << G4endl; |
---|
390 | |
---|
391 | G4double fKT = FunctionFK((sigmaPSS*tetaK),95.)*(etaT/(sigmaPSS*tetaK)); |
---|
392 | if (FunctionFK((sigmaPSS*tetaK),95.)<=0.) G4cout << |
---|
393 | "*** WARNING : G4ecpssrCrossSection::CalculateCrossSection is unable to interpolate FK function in high velocity region ! ***" << G4endl; |
---|
394 | if (verboseLevel>0) G4cout << " FunctionFK=" << FunctionFK((sigmaPSS*tetaK),95.) << G4endl; |
---|
395 | if (verboseLevel>0) G4cout << " fKT=" << fKT << G4endl; |
---|
396 | |
---|
397 | G4double GK = C2/(4*etaK) + C3/(32*etaK*etaK); |
---|
398 | if (verboseLevel>0) G4cout << " GK=" << GK << G4endl; |
---|
399 | G4double GT = C2/(4*etaT) + C3/(32*etaT*etaT); |
---|
400 | if (verboseLevel>0) G4cout << " GT=" << GT << G4endl; |
---|
401 | |
---|
402 | G4double DT = fKT - C1*std::log(etaT) + GT; |
---|
403 | if (verboseLevel>0) G4cout << " DT=" << DT << G4endl; |
---|
404 | |
---|
405 | G4double fKK = C1*std::log(etaK) + DT - GK; |
---|
406 | if (verboseLevel>0) G4cout << " fKK=" << fKK << G4endl; |
---|
407 | |
---|
408 | G4double universalFunction3= fKK/(etaK/tetaK); |
---|
409 | if (verboseLevel>0) G4cout << " universalFunction3=" << universalFunction3 << G4endl; |
---|
410 | |
---|
411 | universalFunction=universalFunction3; |
---|
412 | |
---|
413 | } |
---|
414 | else |
---|
415 | { |
---|
416 | // From Rice 1977 |
---|
417 | |
---|
418 | if (verboseLevel>0) G4cout << " Notice : FK is computed from INTERPOLATED data" << G4endl; |
---|
419 | |
---|
420 | G4double universalFunction2 = FunctionFK((sigmaPSS*tetaK),etaOverTheta2); |
---|
421 | if (universalFunction2<=0) G4cout << |
---|
422 | "*** WARNING : G4ecpssrCrossSection::CalculateCrossSection is unable to interpolate FK function in medium velocity region ! ***" << G4endl; |
---|
423 | |
---|
424 | if (verboseLevel>0) G4cout << " universalFunction2=" << universalFunction2 << " for theta=" << sigmaPSS*tetaK << " and etaOverTheta2=" << etaOverTheta2 << G4endl; |
---|
425 | |
---|
426 | universalFunction=universalFunction2; |
---|
427 | } |
---|
428 | |
---|
429 | } |
---|
430 | |
---|
431 | //---------------------------------------------------------------------------------------------------------------------- |
---|
432 | |
---|
433 | G4double sigmaPSSR = (sigma0/(sigmaPSS*tetaK))*universalFunction; //sigmaPSSR is the straight-line K-shell ionization cross section |
---|
434 | if (verboseLevel>0) G4cout << " sigmaPSSR=" << sigmaPSSR<< G4endl; |
---|
435 | |
---|
436 | //----------------------------------------------------------------------------------------------------------------------- |
---|
437 | |
---|
438 | G4double pssDeltaK = (4./(systemMass*sigmaPSS*tetaK))*(sigmaPSS/velocity)*(sigmaPSS/velocity); |
---|
439 | if (verboseLevel>0) G4cout << " pssDeltaK=" << pssDeltaK<< G4endl; |
---|
440 | |
---|
441 | G4double energyLoss = std::pow(1-pssDeltaK,0.5); //energyLoss incorporates the straight-line energy-loss |
---|
442 | if (verboseLevel>0) G4cout << " energyLoss=" << energyLoss<< G4endl; |
---|
443 | |
---|
444 | 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 |
---|
445 | if (verboseLevel>0) G4cout << " energyLossFunction=" << energyLossFunction<< G4endl; |
---|
446 | |
---|
447 | //---------------------------------------------------------------------------------------------------------------------------------------------- |
---|
448 | |
---|
449 | G4double coulombDeflection = (4.*pi*zIncident/systemMass)*std::pow(tetaK*sigmaPSS,-2.)*std::pow(velocity/sigmaPSS,-3.)*(zTarget/screenedzTarget); //incorporates Coulomb deflection parameter |
---|
450 | |
---|
451 | G4double cParameter = 2.*coulombDeflection/(energyLoss*(energyLoss+1.)); |
---|
452 | |
---|
453 | if (verboseLevel>0) G4cout << " cParameter=" << cParameter<< G4endl; |
---|
454 | |
---|
455 | G4double coulombDeflectionFunction = 9.*ExpIntFunction(10,cParameter); //this function describes Coulomb-deflection effect |
---|
456 | if (verboseLevel>0) G4cout << " ExpIntFunction(10,cParameter) =" << ExpIntFunction(10,cParameter) << G4endl; |
---|
457 | if (verboseLevel>0) G4cout << " coulombDeflectionFunction =" << coulombDeflectionFunction << G4endl; |
---|
458 | |
---|
459 | //-------------------------------------------------------------------------------------------------------------------------------------------------- |
---|
460 | |
---|
461 | G4double crossSection = 0; |
---|
462 | |
---|
463 | crossSection = energyLossFunction* coulombDeflectionFunction*sigmaPSSR; //this ECPSSR cross section is estimated at perturbed-stationnairy-state(PSS) |
---|
464 | //and it's reduced by the energy-loss(E),the Coulomb deflection(C), |
---|
465 | //and the relativity(R) effects |
---|
466 | |
---|
467 | //-------------------------------------------------------------------------------------------------------------------------------------------------- |
---|
468 | |
---|
469 | if (crossSection >= 0) { |
---|
470 | return crossSection; |
---|
471 | } |
---|
472 | else {return 0;} |
---|
473 | } |
---|
474 | |
---|
475 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
476 | |
---|
477 | G4double G4ecpssrKCrossSection::FunctionFK(G4double k, G4double theta) |
---|
478 | { |
---|
479 | |
---|
480 | G4double sigma = 0.; |
---|
481 | G4double valueT1 = 0; |
---|
482 | G4double valueT2 = 0; |
---|
483 | G4double valueE21 = 0; |
---|
484 | G4double valueE22 = 0; |
---|
485 | G4double valueE12 = 0; |
---|
486 | G4double valueE11 = 0; |
---|
487 | G4double xs11 = 0; |
---|
488 | G4double xs12 = 0; |
---|
489 | G4double xs21 = 0; |
---|
490 | G4double xs22 = 0; |
---|
491 | |
---|
492 | // PROTECTION TO ALLOW INTERPOLATION AT MINIMUM AND MAXIMUM EtaK/Theta2 values |
---|
493 | // (in particular for FK computation at 95 for high velocity formula) |
---|
494 | |
---|
495 | if ( |
---|
496 | theta==9.5e-2 || |
---|
497 | theta==9.5e-1 || |
---|
498 | theta==9.5e+00 || |
---|
499 | theta==9.5e+01 |
---|
500 | ) theta=theta-1e-12; |
---|
501 | |
---|
502 | if ( |
---|
503 | theta==1.e-2 || |
---|
504 | theta==1.e-1 || |
---|
505 | theta==1.e+00 || |
---|
506 | theta==1.e+01 |
---|
507 | ) theta=theta+1e-12; |
---|
508 | |
---|
509 | // END PROTECTION |
---|
510 | |
---|
511 | { |
---|
512 | std::vector<double>::iterator t2 = std::upper_bound(dummyVec.begin(),dummyVec.end(), k); |
---|
513 | std::vector<double>::iterator t1 = t2-1; |
---|
514 | |
---|
515 | std::vector<double>::iterator e12 = std::upper_bound(aVecMap[(*t1)].begin(),aVecMap[(*t1)].end(), theta); |
---|
516 | std::vector<double>::iterator e11 = e12-1; |
---|
517 | |
---|
518 | std::vector<double>::iterator e22 = std::upper_bound(aVecMap[(*t2)].begin(),aVecMap[(*t2)].end(), theta); |
---|
519 | std::vector<double>::iterator e21 = e22-1; |
---|
520 | |
---|
521 | valueT1 =*t1; |
---|
522 | valueT2 =*t2; |
---|
523 | valueE21 =*e21; |
---|
524 | valueE22 =*e22; |
---|
525 | valueE12 =*e12; |
---|
526 | valueE11 =*e11; |
---|
527 | |
---|
528 | xs11 = FKData[valueT1][valueE11]; |
---|
529 | xs12 = FKData[valueT1][valueE12]; |
---|
530 | xs21 = FKData[valueT2][valueE21]; |
---|
531 | xs22 = FKData[valueT2][valueE22]; |
---|
532 | |
---|
533 | /* |
---|
534 | verboseLevel=1; |
---|
535 | |
---|
536 | if (verboseLevel>0) G4cout << "x1= " << valueT1 << G4endl; |
---|
537 | if (verboseLevel>0) G4cout << " vector of y for x1" << G4endl; |
---|
538 | for_each (aVecMap[(*t1)].begin(),aVecMap[(*t1)].end(), print); |
---|
539 | |
---|
540 | if (verboseLevel>0) G4cout << G4endl; |
---|
541 | |
---|
542 | if (verboseLevel>0) G4cout << "x2= " << valueT2 << G4endl; |
---|
543 | if (verboseLevel>0) G4cout << " vector of y for x2" << G4endl; |
---|
544 | for_each (aVecMap[(*t2)].begin(),aVecMap[(*t2)].end(), print); |
---|
545 | |
---|
546 | if (verboseLevel>0) G4cout << G4endl; |
---|
547 | |
---|
548 | if (verboseLevel>0) G4cout |
---|
549 | << " " |
---|
550 | << valueT1 << " " |
---|
551 | << valueT2 << " " |
---|
552 | << valueE11 << " " |
---|
553 | << valueE12 << " " |
---|
554 | << valueE21<< " " |
---|
555 | << valueE22 << " " |
---|
556 | << xs11 << " " |
---|
557 | << xs12 << " " |
---|
558 | << xs21 << " " |
---|
559 | << xs22 << " " |
---|
560 | << G4endl; |
---|
561 | //verboseLevel=0; |
---|
562 | */ |
---|
563 | |
---|
564 | } |
---|
565 | |
---|
566 | G4double xsProduct = xs11 * xs12 * xs21 * xs22; |
---|
567 | |
---|
568 | if (xs11==0 || xs12==0 ||xs21==0 ||xs22==0) return (0.); |
---|
569 | |
---|
570 | if (xsProduct != 0.) |
---|
571 | { |
---|
572 | sigma = QuadInterpolator( valueE11, valueE12, |
---|
573 | valueE21, valueE22, |
---|
574 | xs11, xs12, |
---|
575 | xs21, xs22, |
---|
576 | valueT1, valueT2, |
---|
577 | k, theta ); |
---|
578 | } |
---|
579 | |
---|
580 | return sigma; |
---|
581 | } |
---|
582 | |
---|
583 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
584 | |
---|
585 | G4double G4ecpssrKCrossSection::LinLogInterpolate(G4double e1, |
---|
586 | G4double e2, |
---|
587 | G4double e, |
---|
588 | G4double xs1, |
---|
589 | G4double xs2) |
---|
590 | { |
---|
591 | G4double d1 = std::log(xs1); |
---|
592 | G4double d2 = std::log(xs2); |
---|
593 | G4double value = std::exp(d1 + (d2 - d1)*(e - e1)/ (e2 - e1)); |
---|
594 | return value; |
---|
595 | } |
---|
596 | |
---|
597 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
598 | |
---|
599 | G4double G4ecpssrKCrossSection::LogLogInterpolate(G4double e1, |
---|
600 | G4double e2, |
---|
601 | G4double e, |
---|
602 | G4double xs1, |
---|
603 | G4double xs2) |
---|
604 | { |
---|
605 | G4double a = (std::log10(xs2)-std::log10(xs1)) / (std::log10(e2)-std::log10(e1)); |
---|
606 | G4double b = std::log10(xs2) - a*std::log10(e2); |
---|
607 | G4double sigma = a*std::log10(e) + b; |
---|
608 | G4double value = (std::pow(10.,sigma)); |
---|
609 | return value; |
---|
610 | } |
---|
611 | |
---|
612 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
613 | |
---|
614 | G4double G4ecpssrKCrossSection::QuadInterpolator(G4double e11, G4double e12, |
---|
615 | G4double e21, G4double e22, |
---|
616 | G4double xs11, G4double xs12, |
---|
617 | G4double xs21, G4double xs22, |
---|
618 | G4double t1, G4double t2, |
---|
619 | G4double t, G4double e) |
---|
620 | { |
---|
621 | // Log-Log |
---|
622 | /* |
---|
623 | G4double interpolatedvalue1 = LogLogInterpolate(e11, e12, e, xs11, xs12); |
---|
624 | G4double interpolatedvalue2 = LogLogInterpolate(e21, e22, e, xs21, xs22); |
---|
625 | G4double value = LogLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
626 | */ |
---|
627 | |
---|
628 | // Lin-Log |
---|
629 | G4double interpolatedvalue1 = LinLogInterpolate(e11, e12, e, xs11, xs12); |
---|
630 | G4double interpolatedvalue2 = LinLogInterpolate(e21, e22, e, xs21, xs22); |
---|
631 | G4double value = LinLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
632 | return value; |
---|
633 | } |
---|
634 | |
---|
635 | |
---|
636 | |
---|
637 | |
---|
638 | |
---|