[1197] | 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: G4ecpssrLiCrossSection.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 | // 23 Apr 2008 H. Ben Abdelouahed 1st implementation |
---|
| 35 | // 28 Apr 2008 MGP Major revision according to a design iteration |
---|
| 36 | // 29 Apr 2009 ALF Updated Desing for Integration |
---|
| 37 | // 02 May 2009 ALF + Haifa L1,L2,L3 Extensions |
---|
| 38 | // 11 Nov 2009 ALF code cleaning for the Dec release |
---|
| 39 | // |
---|
| 40 | // ------------------------------------------------------------------- |
---|
| 41 | // Class description: |
---|
| 42 | // Low Energy Electromagnetic Physics, Cross section, p and alpha ionisation, L shell |
---|
| 43 | // Further documentation available from http://www.ge.infn.it/geant4/lowE |
---|
| 44 | // ------------------------------------------------------------------- |
---|
| 45 | |
---|
| 46 | |
---|
| 47 | #include "globals.hh" |
---|
| 48 | #include "G4ecpssrLiCrossSection.hh" |
---|
| 49 | #include "G4AtomicTransitionManager.hh" |
---|
| 50 | #include "G4NistManager.hh" |
---|
| 51 | #include "G4Proton.hh" |
---|
| 52 | #include "G4Alpha.hh" |
---|
| 53 | #include <math.h> |
---|
| 54 | |
---|
| 55 | G4ecpssrLiCrossSection::G4ecpssrLiCrossSection() |
---|
| 56 | { |
---|
| 57 | |
---|
| 58 | |
---|
| 59 | // Storing FLi data needed for 0.2 to 3.0 velocities region |
---|
| 60 | |
---|
| 61 | char *path = getenv("G4LEDATA"); |
---|
| 62 | |
---|
| 63 | if (!path) |
---|
| 64 | G4Exception("G4ecpssrLCrossSection::CalculateCrossSection: G4LEDDATA environment variable not set"); |
---|
| 65 | |
---|
| 66 | std::ostringstream fileName1; |
---|
| 67 | std::ostringstream fileName2; |
---|
| 68 | fileName1 << path << "/pixe/uf/FL1.dat"; |
---|
| 69 | fileName2 << path << "/pixe/uf/FL2.dat"; |
---|
| 70 | |
---|
| 71 | std::ifstream FL1(fileName1.str().c_str()); |
---|
| 72 | std::ifstream FL2(fileName1.str().c_str()); |
---|
| 73 | |
---|
| 74 | |
---|
| 75 | if (!FL1) G4Exception("G4ecpssrLCrossSection::CalculateCrossSection: error opening FL1 data file"); |
---|
| 76 | if (!FL2) G4Exception("G4ecpssrLCrossSection::CalculateCrossSection: error opening FL2 data file"); |
---|
| 77 | |
---|
| 78 | dummyVec.push_back(0.); |
---|
| 79 | |
---|
| 80 | while(!FL1.eof()) |
---|
| 81 | { |
---|
| 82 | double x1; |
---|
| 83 | double y1; |
---|
| 84 | |
---|
| 85 | FL1>>x1>>y1; |
---|
| 86 | |
---|
| 87 | // Mandatory vector initialization |
---|
| 88 | if (x1 != dummyVec.back()) |
---|
| 89 | { |
---|
| 90 | dummyVec.push_back(x1); |
---|
| 91 | aVecMap[x1].push_back(-1.); |
---|
| 92 | } |
---|
| 93 | |
---|
| 94 | FL1>>FL1Data[x1][y1]; |
---|
| 95 | |
---|
| 96 | if (y1 != aVecMap[x1].back()) aVecMap[x1].push_back(y1); |
---|
| 97 | } |
---|
| 98 | while(!FL2.eof()) |
---|
| 99 | { |
---|
| 100 | double x2; |
---|
| 101 | double y2; |
---|
| 102 | |
---|
| 103 | FL2>>x2>>y2; |
---|
| 104 | |
---|
| 105 | // Mandatory vector initialization |
---|
| 106 | if (x2 != dummyVec.back()) |
---|
| 107 | { |
---|
| 108 | dummyVec.push_back(x2); |
---|
| 109 | aVecMap[x2].push_back(-1.); |
---|
| 110 | } |
---|
| 111 | |
---|
| 112 | FL2>>FL2Data[x2][y2]; |
---|
| 113 | |
---|
| 114 | if (y2 != aVecMap[x2].back()) aVecMap[x2].push_back(y2); |
---|
| 115 | } |
---|
| 116 | |
---|
| 117 | |
---|
| 118 | } |
---|
| 119 | |
---|
| 120 | G4ecpssrLiCrossSection::~G4ecpssrLiCrossSection() |
---|
| 121 | { } |
---|
| 122 | |
---|
| 123 | //---------------------------------this "ExpIntFunction" function allows fast evaluation of the n order exponential integral function En(x)------ |
---|
| 124 | |
---|
| 125 | G4double G4ecpssrLiCrossSection::ExpIntFunction(G4int n,G4double x) |
---|
| 126 | |
---|
| 127 | { |
---|
| 128 | G4int i; |
---|
| 129 | G4int ii; |
---|
| 130 | G4int nm1; |
---|
| 131 | G4double a; |
---|
| 132 | G4double b; |
---|
| 133 | G4double c; |
---|
| 134 | G4double d; |
---|
| 135 | G4double del; |
---|
| 136 | G4double fact; |
---|
| 137 | G4double h; |
---|
| 138 | G4double psi; |
---|
| 139 | G4double ans = 0; |
---|
| 140 | const G4double euler= 0.5772156649; |
---|
| 141 | const G4int maxit= 100; |
---|
| 142 | const G4double fpmin = 1.0e-30; |
---|
| 143 | const G4double eps = 1.0e-7; |
---|
| 144 | nm1=n-1; |
---|
| 145 | if (n<0 || x<0.0 || (x==0.0 && (n==0 || n==1))) |
---|
| 146 | G4cout << "bad arguments in ExpIntFunction" << G4endl; |
---|
| 147 | else { |
---|
| 148 | if (n==0) ans=exp(-x)/x; |
---|
| 149 | else { |
---|
| 150 | if (x==0.0) ans=1.0/nm1; |
---|
| 151 | else { |
---|
| 152 | if (x > 1.0) { |
---|
| 153 | b=x+n; |
---|
| 154 | c=1.0/fpmin; |
---|
| 155 | d=1.0/b; |
---|
| 156 | h=d; |
---|
| 157 | for (i=1;i<=maxit;i++) { |
---|
| 158 | a=-i*(nm1+i); |
---|
| 159 | b +=2.0; |
---|
| 160 | d=1.0/(a*d+b); |
---|
| 161 | c=b+a/c; |
---|
| 162 | del=c*d; |
---|
| 163 | h *=del; |
---|
| 164 | if (fabs(del-1.0) < eps) { |
---|
| 165 | ans=h*exp(-x); |
---|
| 166 | return ans; |
---|
| 167 | } |
---|
| 168 | } |
---|
| 169 | } else { |
---|
| 170 | ans = (nm1!=0 ? 1.0/nm1 : -log(x)-euler); |
---|
| 171 | fact=1.0; |
---|
| 172 | for (i=1;i<=maxit;i++) { |
---|
| 173 | fact *=-x/i; |
---|
| 174 | if (i !=nm1) del = -fact/(i-nm1); |
---|
| 175 | else { |
---|
| 176 | psi = -euler; |
---|
| 177 | for (ii=1;ii<=nm1;ii++) psi +=1.0/ii; |
---|
| 178 | del=fact*(-log(x)+psi); |
---|
| 179 | } |
---|
| 180 | ans += del; |
---|
| 181 | if (fabs(del) < fabs(ans)*eps) return ans; |
---|
| 182 | } |
---|
| 183 | } |
---|
| 184 | } |
---|
| 185 | } |
---|
| 186 | } |
---|
| 187 | return ans; |
---|
| 188 | } |
---|
| 189 | //----------------------------------------------------------------------------------------------------------- |
---|
| 190 | |
---|
| 191 | |
---|
| 192 | G4double G4ecpssrLiCrossSection::CalculateL1CrossSection(G4int zTarget,G4double massIncident, G4double energyIncident) |
---|
| 193 | |
---|
| 194 | //this L-CrossSection calculation method is done according to W.Brandt and G.Lapicki, Phys.Rev.A23(1981)// |
---|
| 195 | |
---|
| 196 | { |
---|
| 197 | |
---|
| 198 | G4NistManager* massManager = G4NistManager::Instance(); |
---|
| 199 | |
---|
| 200 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
---|
| 201 | |
---|
| 202 | |
---|
| 203 | G4int zIncident = 0; |
---|
| 204 | G4Proton* aProtone = G4Proton::Proton(); |
---|
| 205 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
---|
| 206 | |
---|
| 207 | if (massIncident == aProtone->GetPDGMass() ) |
---|
| 208 | { |
---|
| 209 | |
---|
| 210 | zIncident = (G4int)((aProtone->GetPDGCharge())/eplus); |
---|
| 211 | |
---|
| 212 | //G4cout << "zincident:" << zIncident << G4endl; |
---|
| 213 | } |
---|
| 214 | else |
---|
| 215 | { |
---|
| 216 | if (massIncident == aAlpha->GetPDGMass()) |
---|
| 217 | { |
---|
| 218 | |
---|
| 219 | zIncident =(G4int) ((aAlpha->GetPDGCharge())/eplus); |
---|
| 220 | |
---|
| 221 | //G4cout << "zincident:" << zIncident << G4endl; |
---|
| 222 | } |
---|
| 223 | else |
---|
| 224 | { |
---|
| 225 | G4cout << "we can treat only Proton or Alpha incident particles " << G4endl; |
---|
| 226 | massIncident =0.; |
---|
| 227 | } |
---|
| 228 | } |
---|
| 229 | |
---|
| 230 | |
---|
| 231 | G4double l1BindingEnergy = transitionManager->Shell(zTarget,1)->BindingEnergy(); |
---|
| 232 | |
---|
| 233 | |
---|
| 234 | |
---|
| 235 | |
---|
| 236 | |
---|
| 237 | |
---|
| 238 | G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; |
---|
| 239 | |
---|
| 240 | G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2;//the mass of the system (projectile, target) |
---|
| 241 | |
---|
| 242 | const G4double zlshell= 4.15; |
---|
| 243 | |
---|
| 244 | G4double screenedzTarget = zTarget-zlshell; // screenedzTarget is the screened nuclear charge of the target |
---|
| 245 | |
---|
| 246 | const G4double rydbergMeV= 13.6056923e-6; |
---|
| 247 | |
---|
| 248 | const G4double nl= 2.; // nl is the quantum number of the L shell |
---|
| 249 | |
---|
| 250 | G4double tetal1 = (l1BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV); //tetal1 denotes the reduced L1-shell-binding-energy of the electron |
---|
| 251 | |
---|
| 252 | |
---|
| 253 | |
---|
| 254 | |
---|
| 255 | |
---|
| 256 | |
---|
| 257 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; |
---|
| 258 | |
---|
| 259 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*pow(screenedzTarget,-4.); //sigma0 is the initial cross section of L shell at stable state |
---|
| 260 | |
---|
| 261 | //--------------------------------------------------------------------------------------------------------------------- |
---|
| 262 | |
---|
| 263 | G4double velocityl1 = CalculateVelocity(1, zTarget, massIncident, energyIncident); //is the scaled velocity parameter of the system |
---|
| 264 | |
---|
| 265 | |
---|
| 266 | |
---|
| 267 | |
---|
| 268 | //--------------------------------------------------------------------------------------------------------------------- |
---|
| 269 | |
---|
| 270 | const G4double l1AnalyticalApproximation= 1.5; |
---|
| 271 | |
---|
| 272 | |
---|
| 273 | |
---|
| 274 | G4double x1 = nl*l1AnalyticalApproximation/velocityl1; |
---|
| 275 | |
---|
| 276 | |
---|
| 277 | |
---|
| 278 | |
---|
| 279 | |
---|
| 280 | //-----------------------------------------x of l1 sub shell-------------------------------------- |
---|
| 281 | |
---|
| 282 | G4double electrIonizationEnergyl1; |
---|
| 283 | |
---|
| 284 | |
---|
| 285 | if ( x1<0.035 && x1>= 0.) |
---|
| 286 | { |
---|
| 287 | electrIonizationEnergyl1= 0.75*pi*(log(1./(x1*x1))-1.); |
---|
| 288 | } |
---|
| 289 | else |
---|
| 290 | { |
---|
| 291 | if ( x1<3.&& x1>=0.035) |
---|
| 292 | { |
---|
| 293 | electrIonizationEnergyl1 =exp(-2.*x1)/(0.031+(0.213*pow(x1,0.5))+(0.005*x1)-(0.069*pow(x1,3./2.))+(0.324*x1*x1)); |
---|
| 294 | } |
---|
| 295 | |
---|
| 296 | else |
---|
| 297 | { |
---|
| 298 | if ( x1<=11.&& x1>=3.) { |
---|
| 299 | electrIonizationEnergyl1 =2.*exp(-2.*x1)/pow(x1,1.6); |
---|
| 300 | } |
---|
| 301 | else { |
---|
| 302 | electrIonizationEnergyl1 =0.; |
---|
| 303 | } |
---|
| 304 | } |
---|
| 305 | } |
---|
| 306 | |
---|
| 307 | |
---|
| 308 | |
---|
| 309 | |
---|
| 310 | |
---|
| 311 | //-------------------------------------------------------- h and g functions for l1 ------------------------------------------------- |
---|
| 312 | |
---|
| 313 | |
---|
| 314 | G4double hFunctionl1 =(electrIonizationEnergyl1*2.*nl)/(tetal1*pow(velocityl1,3)); //hFunction represents the correction for polarization effet |
---|
| 315 | |
---|
| 316 | |
---|
| 317 | G4double gFunctionl1 = (1.+(9.*velocityl1)+(31.*velocityl1*velocityl1)+(49.*pow(velocityl1,3.))+(162.*pow(velocityl1,4.))+(63.*pow(velocityl1,5.)) |
---|
| 318 | +(18.*pow(velocityl1,6.))+(1.97*pow(velocityl1,7.)))/pow(1.+velocityl1,9.); //gFunction represents the correction for binding effet |
---|
| 319 | |
---|
| 320 | |
---|
| 321 | |
---|
| 322 | |
---|
| 323 | //----------------------------------------------------------------------------------------------------------------------------- |
---|
| 324 | |
---|
| 325 | G4double sigmaPSS_l1 = 1.+(((2.*zIncident)/(screenedzTarget*tetal1))*(gFunctionl1-hFunctionl1)); //describes the perturbed stationnairy state of the affected atomic electon |
---|
| 326 | |
---|
| 327 | |
---|
| 328 | |
---|
| 329 | |
---|
| 330 | |
---|
| 331 | |
---|
| 332 | |
---|
| 333 | //---------------------------------------------------------------------------------------------------------------------------- |
---|
| 334 | //const G4double cNaturalUnit= 1/fine_structure_const; // it's the speed of light according to Atomic-Unit-System |
---|
| 335 | //-------------------------------------------------------------------------------------------------------------- |
---|
| 336 | |
---|
| 337 | //G4double yl1Formula=0.4*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(nl*(velocityl1/sigmaPSS_l1)); |
---|
| 338 | |
---|
| 339 | |
---|
| 340 | |
---|
| 341 | //-----------------------------------------------Relativity effect correction L1 ------------------------------------------------------------- |
---|
| 342 | |
---|
| 343 | //G4double relativityCorrectionl1 = pow((1.+(1.1*yl1Formula*yl1Formula)),0.5)+yl1Formula;// the relativistic correction parameter |
---|
| 344 | //G4double reducedVelocityl1 = velocityl1*pow(relativityCorrectionl1,0.5); // presents the reduced collision velocity parameter |
---|
| 345 | |
---|
| 346 | |
---|
| 347 | |
---|
| 348 | |
---|
| 349 | |
---|
| 350 | |
---|
| 351 | |
---|
| 352 | //------------------------------------------------------------------------------------------------------------------- |
---|
| 353 | //------------------------------------------------------------UNIVERSAL FUNCTION --------------------------------- |
---|
| 354 | //------------------------------------------------------------------------------------------------------------ |
---|
| 355 | // is the reduced universal cross section |
---|
| 356 | |
---|
| 357 | G4double universalFunction_l1 ; |
---|
| 358 | |
---|
| 359 | |
---|
| 360 | |
---|
| 361 | //------------------------------------------------------------------------------------------------------------------- |
---|
| 362 | //------------------------------------------------------------ LIMITS OF ECPSSR MODEL --------------------------- |
---|
| 363 | //------------------------------------------------------------------------------------------------------------ |
---|
| 364 | |
---|
| 365 | |
---|
| 366 | G4double L1etaOverTheta2 = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget)/(sigmaPSS_l1*tetal1)/(sigmaPSS_l1*tetal1); |
---|
| 367 | |
---|
| 368 | |
---|
| 369 | universalFunction_l1 = FunctionFL1((sigmaPSS_l1*tetal1), L1etaOverTheta2); |
---|
| 370 | |
---|
| 371 | |
---|
| 372 | |
---|
| 373 | |
---|
| 374 | //----------------------------------------------------------------------------------------------------------------------- |
---|
| 375 | //--------------------------------------------------------------------------- PSSR Li CROSS SECTION ------------- |
---|
| 376 | //----------------------------------------------------------------------------------------------------------------------- |
---|
| 377 | |
---|
| 378 | G4double sigmaPSSR_l1 = (sigma0/(sigmaPSS_l1*tetal1))*universalFunction_l1; //sigmaPSSR is the straight-line L-shell ionization cross section |
---|
| 379 | |
---|
| 380 | |
---|
| 381 | |
---|
| 382 | //---------------------------------------------------------------------------------------------------------------------- |
---|
| 383 | |
---|
| 384 | G4double pssDeltal1 = (4./(systemMass*sigmaPSS_l1*tetal1))*(sigmaPSS_l1/velocityl1)*(sigmaPSS_l1/velocityl1); |
---|
| 385 | |
---|
| 386 | |
---|
| 387 | |
---|
| 388 | G4double energyLossl1 = pow(1-pssDeltal1,0.5); //energyLoss incorporates the straight-line energy-loss |
---|
| 389 | |
---|
| 390 | |
---|
| 391 | |
---|
| 392 | |
---|
| 393 | |
---|
| 394 | //----------------------------------------------------------------------------------------------------------------------- |
---|
| 395 | //----------------------------------------------------------------------------ENERGY LOSS CORRECTION------------- |
---|
| 396 | //----------------------------------------------------------------------------------------------------------------------- |
---|
| 397 | |
---|
| 398 | /* |
---|
| 399 | G4double energyLossFunction_L1 = (pow(2.,-9)/8.)*((((9.*energyLossl1)-1.)*pow(1.+energyLossl1,9.))+(((9.*energyLossl1)+1.)*pow(1.-energyLossl1,9.))); |
---|
| 400 | G4double energyLossFunction_L2 = (pow(2.,-11)/10.)*((((11.*energyLossl2)-1.)*pow(1.+energyLossl2,11.))+(((11.*energyLossl2)+1.)*pow(1.-energyLossl2,11.))); |
---|
| 401 | G4double energyLossFunction_L3 = (pow(2.,-11)/10.)*((((11.*energyLossl3)-1.)*pow(1.+energyLossl3,11.))+(((11.*energyLossl3)+1.)*pow(1.-energyLossl3,11.))); |
---|
| 402 | */ |
---|
| 403 | |
---|
| 404 | |
---|
| 405 | //----------------------------------------------------------------------------------------------------------------------- |
---|
| 406 | //----------------------------------------------------------------------------COULOMB DEFLECTION CORRECTION------------- |
---|
| 407 | //----------------------------------------------------------------------------------------------------------------------- |
---|
| 408 | |
---|
| 409 | |
---|
| 410 | G4double coulombDeflectionl1 = (4.*pi*zIncident/systemMass)*pow(tetal1*sigmaPSS_l1,-2.)*pow(velocityl1/sigmaPSS_l1,-3.)*(zTarget/screenedzTarget); //incorporates Coulomb deflection parameter |
---|
| 411 | |
---|
| 412 | |
---|
| 413 | |
---|
| 414 | |
---|
| 415 | G4double cParameterl1 = 2.*coulombDeflectionl1/(energyLossl1*(energyLossl1+1.)); |
---|
| 416 | |
---|
| 417 | |
---|
| 418 | |
---|
| 419 | G4double coulombDeflectionFunction_l1 = 9.*ExpIntFunction(10,cParameterl1); //this function describes Coulomb-deflection effect |
---|
| 420 | |
---|
| 421 | |
---|
| 422 | |
---|
| 423 | //-------------------------------------------------------------------------------------------------------------------------------------------------- |
---|
| 424 | //----------------------------------------------------------------------------------------------------------------------- |
---|
| 425 | //--------------------------------------------------------------------------- ECPSSR Li CROSS SECTION ------------- |
---|
| 426 | //----------------------------------------------------------------------------------------------------------------------- |
---|
| 427 | //-------------------------------------------------------------------------------------------------------------------------------------------------- |
---|
| 428 | |
---|
| 429 | /* |
---|
| 430 | G4double crossSection_L1 = energyLossFunction_L1 * coulombDeflectionFunction_l1 * sigmaPSSR_l1; //this ECPSSR cross section is estimated at perturbed-stationnairy-state(PSS) |
---|
| 431 | G4double crossSection_L2 = energyLossFunction_L2 * coulombDeflectionFunction_l2 * sigmaPSSR_l2; //and it's reduced by the energy-loss(E),the Coulomb deflection(C), |
---|
| 432 | G4double crossSection_L3 = energyLossFunction_L3 * coulombDeflectionFunction_l3 * sigmaPSSR_l3; //and the relativity(R) effects |
---|
| 433 | */ |
---|
| 434 | |
---|
| 435 | G4double crossSection_L1 = coulombDeflectionFunction_l1 * sigmaPSSR_l1; |
---|
| 436 | |
---|
| 437 | |
---|
| 438 | if (crossSection_L1 >= 0) { |
---|
| 439 | return crossSection_L1; |
---|
| 440 | } |
---|
| 441 | else {return 0;} |
---|
| 442 | } |
---|
| 443 | |
---|
| 444 | G4double G4ecpssrLiCrossSection::CalculateL2CrossSection(G4int zTarget,G4double massIncident, G4double energyIncident) |
---|
| 445 | |
---|
| 446 | //this L-CrossSection calculation method is done according to W.Brandt and G.Lapicki, Phys.Rev.A23(1981)// |
---|
| 447 | |
---|
| 448 | { |
---|
| 449 | |
---|
| 450 | |
---|
| 451 | G4NistManager* massManager = G4NistManager::Instance(); |
---|
| 452 | |
---|
| 453 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
---|
| 454 | |
---|
| 455 | |
---|
| 456 | G4int zIncident = 0; |
---|
| 457 | G4Proton* aProtone = G4Proton::Proton(); |
---|
| 458 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
---|
| 459 | |
---|
| 460 | if (massIncident == aProtone->GetPDGMass() ) |
---|
| 461 | { |
---|
| 462 | |
---|
| 463 | zIncident =(G4int) ((aProtone->GetPDGCharge())/eplus); |
---|
| 464 | |
---|
| 465 | // G4cout << "zincident:" << zIncident << G4endl; |
---|
| 466 | } |
---|
| 467 | else |
---|
| 468 | { |
---|
| 469 | if (massIncident == aAlpha->GetPDGMass()) |
---|
| 470 | { |
---|
| 471 | |
---|
| 472 | zIncident = (G4int) ((aAlpha->GetPDGCharge())/eplus); |
---|
| 473 | |
---|
| 474 | // G4cout << "zincident:" << zIncident << G4endl; |
---|
| 475 | } |
---|
| 476 | else |
---|
| 477 | { |
---|
| 478 | G4cout << "we can treat only Proton or Alpha incident particles " << G4endl; |
---|
| 479 | massIncident =0.; |
---|
| 480 | } |
---|
| 481 | } |
---|
| 482 | |
---|
| 483 | G4double l2BindingEnergy = transitionManager->Shell(zTarget,2)->BindingEnergy(); |
---|
| 484 | |
---|
| 485 | G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; |
---|
| 486 | G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2;//the mass of the system (projectile, target) |
---|
| 487 | const G4double zlshell= 4.15; |
---|
| 488 | G4double screenedzTarget = zTarget-zlshell; // screenedzTarget is the screened nuclear charge of the target |
---|
| 489 | const G4double rydbergMeV= 13.6056923e-6; |
---|
| 490 | const G4double nl= 2.; // nl is the quantum number of the L shell |
---|
| 491 | |
---|
| 492 | G4double tetal2 = (l2BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV); |
---|
| 493 | |
---|
| 494 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; |
---|
| 495 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*pow(screenedzTarget,-4.); //sigma0 is the initial cross section of L shell at stable state |
---|
| 496 | |
---|
| 497 | G4double velocityl2 = CalculateVelocity(2, zTarget, massIncident, energyIncident); |
---|
| 498 | |
---|
| 499 | const G4double l2AnalyticalApproximation= 1.25; |
---|
| 500 | |
---|
| 501 | G4double x2 = nl*l2AnalyticalApproximation/velocityl2; |
---|
| 502 | |
---|
| 503 | //---------------------------------------------------------------x of l2 sub shell------------------------------------------ |
---|
| 504 | |
---|
| 505 | G4double electrIonizationEnergyl2; |
---|
| 506 | |
---|
| 507 | |
---|
| 508 | if ( x2<0.035 && x2>= 0.) |
---|
| 509 | { |
---|
| 510 | electrIonizationEnergyl2= 0.75*pi*(log(1./(x2*x2))-1.); |
---|
| 511 | } |
---|
| 512 | else |
---|
| 513 | { |
---|
| 514 | if ( x2<3. && x2 >=0.035) |
---|
| 515 | { |
---|
| 516 | electrIonizationEnergyl2 =exp(-2.*x2)/(0.031+(0.213*pow(x2,0.5))+(0.005*x2)-(0.069*pow(x2,3./2.))+(0.324*x2*x2)); |
---|
| 517 | } |
---|
| 518 | |
---|
| 519 | else |
---|
| 520 | { |
---|
| 521 | |
---|
| 522 | if ( x2<=11.&& x2>=3.) { |
---|
| 523 | electrIonizationEnergyl2 =2.*exp(-2.*x2)/pow(x2,1.6); |
---|
| 524 | } |
---|
| 525 | else { |
---|
| 526 | electrIonizationEnergyl2=0.; |
---|
| 527 | } |
---|
| 528 | |
---|
| 529 | } |
---|
| 530 | } |
---|
| 531 | |
---|
| 532 | //----------------------------------------------------------------------------- h and g functions for l2 ---------------------------- |
---|
| 533 | |
---|
| 534 | |
---|
| 535 | G4double hFunctionl2 =(electrIonizationEnergyl2*2.*nl)/(tetal2*pow(velocityl2,3)); //hFunction represents the correction for polarization effet |
---|
| 536 | |
---|
| 537 | G4double gFunctionl2 = (1.+(10.*velocityl2)+(45.*velocityl2*velocityl2)+(102.*pow(velocityl2,3.))+(331.*pow(velocityl2,4.))+(6.7*pow(velocityl2,5.)) |
---|
| 538 | +(58.*pow(velocityl2,6.))+(7.8*pow(velocityl2,7.))+ (0.888*pow(velocityl2,8.)) )/pow(1.+velocityl2,10.); //gFunction represents the correction for binding effet |
---|
| 539 | |
---|
| 540 | |
---|
| 541 | G4double sigmaPSS_l2 = 1.+(((2.*zIncident)/(screenedzTarget*tetal2))*(gFunctionl2-hFunctionl2)); |
---|
| 542 | |
---|
| 543 | //---------------------------------------------------------------------------------------------------------------------------- |
---|
| 544 | //const G4double cNaturalUnit= 1/fine_structure_const; // it's the speed of light according to Atomic-Unit-System |
---|
| 545 | //-------------------------------------------------------------------------------------------------------------- |
---|
| 546 | |
---|
| 547 | //G4double yl2Formula=0.15*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocityl2/sigmaPSS_l2); |
---|
| 548 | |
---|
| 549 | //-----------------------------------------------Relativity effect correction L2 -------------------------------------------------------------- |
---|
| 550 | |
---|
| 551 | //G4double relativityCorrectionl2 = pow((1.+(1.1*yl2Formula*yl2Formula)),0.5)+yl2Formula;// the relativistic correction parameter |
---|
| 552 | // G4double reducedVelocityl2 = velocityl2*pow(relativityCorrectionl2,0.5); // presents the reduced collision velocity parameter |
---|
| 553 | |
---|
| 554 | G4double L2etaOverTheta2 = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget)/(sigmaPSS_l2*tetal2)/(sigmaPSS_l2*tetal2); |
---|
| 555 | |
---|
| 556 | |
---|
| 557 | G4double universalFunction_l2 ; |
---|
| 558 | |
---|
| 559 | |
---|
| 560 | universalFunction_l2 = FunctionFL2((sigmaPSS_l2*tetal2), L2etaOverTheta2); |
---|
| 561 | |
---|
| 562 | G4double sigmaPSSR_l2 = (sigma0/(sigmaPSS_l2*tetal2))*universalFunction_l2; |
---|
| 563 | G4double pssDeltal2 = (4./(systemMass*sigmaPSS_l2*tetal2))*(sigmaPSS_l2/velocityl2)*(sigmaPSS_l2/velocityl2); |
---|
| 564 | G4double energyLossl2 = pow(1-pssDeltal2,0.5); |
---|
| 565 | |
---|
| 566 | G4double coulombDeflectionl2 = (4.*pi*zIncident/systemMass)*pow(tetal2*sigmaPSS_l2,-2.)*pow(velocityl2/sigmaPSS_l2,-3.)*(zTarget/screenedzTarget); //incorporates Coulomb deflection parameter |
---|
| 567 | G4double cParameterl2 = 2.*coulombDeflectionl2/(energyLossl2*(energyLossl2+1.)); |
---|
| 568 | G4double coulombDeflectionFunction_l2 = 11.*ExpIntFunction(12,cParameterl2); |
---|
| 569 | |
---|
| 570 | G4double crossSection_L2 = coulombDeflectionFunction_l2 * sigmaPSSR_l2 ; |
---|
| 571 | |
---|
| 572 | |
---|
| 573 | if (crossSection_L2 >= 0) { |
---|
| 574 | return crossSection_L2; |
---|
| 575 | } |
---|
| 576 | else {return 0;} |
---|
| 577 | |
---|
| 578 | |
---|
| 579 | } |
---|
| 580 | |
---|
| 581 | |
---|
| 582 | G4double G4ecpssrLiCrossSection::CalculateL3CrossSection(G4int zTarget,G4double massIncident, G4double energyIncident) |
---|
| 583 | |
---|
| 584 | //this L-CrossSection calculation method is done according to W.Brandt and G.Lapicki, Phys.Rev.A23(1981)// |
---|
| 585 | |
---|
| 586 | { |
---|
| 587 | |
---|
| 588 | |
---|
| 589 | G4NistManager* massManager = G4NistManager::Instance(); |
---|
| 590 | |
---|
| 591 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
---|
| 592 | |
---|
| 593 | |
---|
| 594 | G4int zIncident = 0; |
---|
| 595 | G4Proton* aProtone = G4Proton::Proton(); |
---|
| 596 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
---|
| 597 | |
---|
| 598 | if (massIncident == aProtone->GetPDGMass() ) |
---|
| 599 | { |
---|
| 600 | |
---|
| 601 | zIncident = (G4int) ((aProtone->GetPDGCharge())/eplus); |
---|
| 602 | |
---|
| 603 | // G4cout << "zincident:" << zIncident << G4endl; |
---|
| 604 | } |
---|
| 605 | else |
---|
| 606 | { |
---|
| 607 | if (massIncident == aAlpha->GetPDGMass()) |
---|
| 608 | { |
---|
| 609 | |
---|
| 610 | zIncident =(G4int) ((aAlpha->GetPDGCharge())/eplus); |
---|
| 611 | |
---|
| 612 | // G4cout << "zincident:" << zIncident << G4endl; |
---|
| 613 | } |
---|
| 614 | else |
---|
| 615 | { |
---|
| 616 | G4cout << "we can treat only Proton or Alpha incident particles " << G4endl; |
---|
| 617 | massIncident =0.; |
---|
| 618 | } |
---|
| 619 | } |
---|
| 620 | |
---|
| 621 | G4double l3BindingEnergy = transitionManager->Shell(zTarget,3)->BindingEnergy(); |
---|
| 622 | |
---|
| 623 | G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; |
---|
| 624 | |
---|
| 625 | G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2;//the mass of the system (projectile, target) |
---|
| 626 | |
---|
| 627 | const G4double zlshell= 4.15; |
---|
| 628 | |
---|
| 629 | G4double screenedzTarget = zTarget-zlshell; // screenedzTarget is the screened nuclear charge of the target |
---|
| 630 | |
---|
| 631 | const G4double rydbergMeV= 13.6056923e-6; |
---|
| 632 | |
---|
| 633 | const G4double nl= 2.; // nl is the quantum number of the L shell |
---|
| 634 | |
---|
| 635 | G4double tetal3 = (l3BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV); |
---|
| 636 | |
---|
| 637 | |
---|
| 638 | |
---|
| 639 | const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; |
---|
| 640 | |
---|
| 641 | G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*pow(screenedzTarget,-4.); //sigma0 is the initial cross section of L shell at stable state |
---|
| 642 | |
---|
| 643 | //--------------------------------------------------------------------------------------------------------------------- |
---|
| 644 | |
---|
| 645 | G4double velocityl3 = CalculateVelocity(3, zTarget, massIncident, energyIncident); |
---|
| 646 | |
---|
| 647 | const G4double l3AnalyticalApproximation= 1.25; |
---|
| 648 | |
---|
| 649 | G4double x3 = nl*l3AnalyticalApproximation/velocityl3; |
---|
| 650 | |
---|
| 651 | |
---|
| 652 | //--------------------------------------------------------------------- x of l3 sub shell--------------------------------- |
---|
| 653 | |
---|
| 654 | |
---|
| 655 | G4double electrIonizationEnergyl3; |
---|
| 656 | |
---|
| 657 | |
---|
| 658 | if ( x3<0.035 && x3>=0. ) |
---|
| 659 | { |
---|
| 660 | electrIonizationEnergyl3= 0.75*pi*(log(1./(x3*x3))-1.); |
---|
| 661 | } |
---|
| 662 | else |
---|
| 663 | { |
---|
| 664 | if ( x3<3. && x3 >= 0.035) |
---|
| 665 | { |
---|
| 666 | electrIonizationEnergyl3 =exp(-2.*x3)/(0.031+(0.213*pow(x3,0.5))+(0.005*x3)-(0.069*pow(x3,3./2.))+(0.324*x3*x3)); |
---|
| 667 | } |
---|
| 668 | |
---|
| 669 | else |
---|
| 670 | { |
---|
| 671 | if ( x3<=11.&& x3>=3.) { |
---|
| 672 | electrIonizationEnergyl3 =2.*exp(-2.*x3)/pow(x3,1.6); |
---|
| 673 | } |
---|
| 674 | else { |
---|
| 675 | electrIonizationEnergyl3=0.; |
---|
| 676 | } |
---|
| 677 | |
---|
| 678 | } |
---|
| 679 | } |
---|
| 680 | |
---|
| 681 | //------------------------------------------------------------ h and g function for l3 --------------------------------------------- |
---|
| 682 | |
---|
| 683 | |
---|
| 684 | G4double hFunctionl3 =(electrIonizationEnergyl3*2.*nl)/(tetal3*pow(velocityl3,3)); //hFunction represents the correction for polarization effet |
---|
| 685 | |
---|
| 686 | |
---|
| 687 | G4double gFunctionl3 = (1.+(10.*velocityl3)+(45.*velocityl3*velocityl3)+(102.*pow(velocityl3,3.))+(331.*pow(velocityl3,4.))+(6.7*pow(velocityl3,5.)) |
---|
| 688 | +(58.*pow(velocityl3,6.))+(7.8*pow(velocityl3,7.))+ (0.888*pow(velocityl3,8.)) )/pow(1.+velocityl3,10.); //gFunction represents the correction for binding effet |
---|
| 689 | //----------------------------------------------------------------------------------------------------------------------------- |
---|
| 690 | |
---|
| 691 | G4double sigmaPSS_l3 = 1.+(((2.*zIncident)/(screenedzTarget*tetal3))*(gFunctionl3-hFunctionl3)); |
---|
| 692 | |
---|
| 693 | |
---|
| 694 | //---------------------------------------------------------------------------------------------------------------------------- |
---|
| 695 | //const G4double cNaturalUnit= 1/fine_structure_const; // it's the speed of light according to Atomic-Unit-System |
---|
| 696 | //-------------------------------------------------------------------------------------------------------------- |
---|
| 697 | |
---|
| 698 | //G4double yl3Formula=0.15*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocityl3/sigmaPSS_l3); |
---|
| 699 | |
---|
| 700 | //-----------------------------------------------Relativity effect correction L3 -------------------------------------------------------------- |
---|
| 701 | |
---|
| 702 | //G4double relativityCorrectionl3 = pow((1.+(1.1*yl3Formula*yl3Formula)),0.5)+yl3Formula;// the relativistic correction parameter |
---|
| 703 | //G4double reducedVelocityl3 = velocityl3*pow(relativityCorrectionl3,0.5); // presents the reduced collision velocity parameter |
---|
| 704 | |
---|
| 705 | G4double universalFunction_l3 ; |
---|
| 706 | |
---|
| 707 | G4double L3etaOverTheta2 = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget)/(sigmaPSS_l3*tetal3)/(sigmaPSS_l3*tetal3); |
---|
| 708 | |
---|
| 709 | universalFunction_l3 = 2*FunctionFL2((sigmaPSS_l3*tetal3), L3etaOverTheta2); |
---|
| 710 | |
---|
| 711 | |
---|
| 712 | G4double sigmaPSSR_l3 = (sigma0/(sigmaPSS_l3*tetal3))*universalFunction_l3; |
---|
| 713 | |
---|
| 714 | G4double pssDeltal3 = (4./(systemMass*sigmaPSS_l3*tetal3))*(sigmaPSS_l3/velocityl3)*(sigmaPSS_l3/velocityl3); |
---|
| 715 | |
---|
| 716 | G4double energyLossl3 = pow(1-pssDeltal3,0.5); |
---|
| 717 | |
---|
| 718 | G4double coulombDeflectionl3 = (4.*pi*zIncident/systemMass)*pow(tetal3*sigmaPSS_l3,-2.)*pow(velocityl3/sigmaPSS_l3,-3.)*(zTarget/screenedzTarget); //incorporates Coulomb deflection parameter |
---|
| 719 | |
---|
| 720 | G4double cParameterl3 = 2.*coulombDeflectionl3/(energyLossl3*(energyLossl3+1.)); |
---|
| 721 | |
---|
| 722 | G4double coulombDeflectionFunction_l3 = 11.*ExpIntFunction(12,cParameterl3); |
---|
| 723 | |
---|
| 724 | G4double crossSection_L3 = coulombDeflectionFunction_l3 * sigmaPSSR_l3; |
---|
| 725 | |
---|
| 726 | if (crossSection_L3 >= 0) { |
---|
| 727 | return crossSection_L3; |
---|
| 728 | } |
---|
| 729 | else {return 0;} |
---|
| 730 | |
---|
| 731 | } |
---|
| 732 | |
---|
| 733 | |
---|
| 734 | |
---|
| 735 | G4double G4ecpssrLiCrossSection::CalculateVelocity(G4int subShell, G4int zTarget, G4double massIncident, G4double energyIncident) |
---|
| 736 | |
---|
| 737 | { |
---|
| 738 | |
---|
| 739 | G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
---|
| 740 | |
---|
| 741 | G4double liBindingEnergy = transitionManager->Shell(zTarget,subShell)->BindingEnergy(); |
---|
| 742 | |
---|
| 743 | |
---|
| 744 | G4Proton* aProtone = G4Proton::Proton(); |
---|
| 745 | G4Alpha* aAlpha = G4Alpha::Alpha(); |
---|
| 746 | |
---|
| 747 | if (!(massIncident == aProtone->GetPDGMass() || massIncident == aAlpha->GetPDGMass())) |
---|
| 748 | { |
---|
| 749 | G4cout << "we can treat only Proton or Alpha incident particles " << G4endl; |
---|
| 750 | return 0; |
---|
| 751 | } |
---|
| 752 | |
---|
| 753 | |
---|
| 754 | const G4double zlshell= 4.15; |
---|
| 755 | |
---|
| 756 | G4double screenedzTarget = zTarget- zlshell; |
---|
| 757 | |
---|
| 758 | const G4double rydbergMeV= 13.6e-6; |
---|
| 759 | |
---|
| 760 | const G4double nl= 2.; // nl is the quantum number of the L shell |
---|
| 761 | |
---|
| 762 | G4double tetali = (liBindingEnergy*nl*nl)/(screenedzTarget*screenedzTarget*rydbergMeV); |
---|
| 763 | |
---|
| 764 | G4double velocity =(2.*nl/(tetali*screenedzTarget))*pow(((energyIncident*electron_mass_c2)/(massIncident*rydbergMeV)),0.5); |
---|
| 765 | |
---|
| 766 | return velocity; |
---|
| 767 | } |
---|
| 768 | |
---|
| 769 | |
---|
| 770 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 771 | |
---|
| 772 | |
---|
| 773 | G4double G4ecpssrLiCrossSection::FunctionFL1(G4double k, G4double theta) |
---|
| 774 | { |
---|
| 775 | |
---|
| 776 | G4double sigma = 0.; |
---|
| 777 | G4double valueT1 = 0; |
---|
| 778 | G4double valueT2 = 0; |
---|
| 779 | G4double valueE21 = 0; |
---|
| 780 | G4double valueE22 = 0; |
---|
| 781 | G4double valueE12 = 0; |
---|
| 782 | G4double valueE11 = 0; |
---|
| 783 | G4double xs11 = 0; |
---|
| 784 | G4double xs12 = 0; |
---|
| 785 | G4double xs21 = 0; |
---|
| 786 | G4double xs22 = 0; |
---|
| 787 | |
---|
| 788 | // PROTECTION TO ALLOW INTERPOLATION AT MINIMUM AND MAXIMUM EtaK/Theta2 values |
---|
| 789 | // (in particular for FK computation at 95 for high velocity formula) |
---|
| 790 | |
---|
| 791 | if ( |
---|
| 792 | theta==9.5e-2 || |
---|
| 793 | theta==9.5e-1 || |
---|
| 794 | theta==9.5e+00 || |
---|
| 795 | theta==9.5e+01 |
---|
| 796 | ) theta=theta-1e-12; |
---|
| 797 | |
---|
| 798 | if ( |
---|
| 799 | theta==1.e-2 || |
---|
| 800 | theta==1.e-1 || |
---|
| 801 | theta==1.e+00 || |
---|
| 802 | theta==1.e+01 |
---|
| 803 | ) theta=theta+1e-12; |
---|
| 804 | |
---|
| 805 | // END PROTECTION |
---|
| 806 | |
---|
| 807 | { |
---|
| 808 | std::vector<double>::iterator t2 = std::upper_bound(dummyVec.begin(),dummyVec.end(), k); |
---|
| 809 | std::vector<double>::iterator t1 = t2-1; |
---|
| 810 | |
---|
| 811 | std::vector<double>::iterator e12 = std::upper_bound(aVecMap[(*t1)].begin(),aVecMap[(*t1)].end(), theta); |
---|
| 812 | std::vector<double>::iterator e11 = e12-1; |
---|
| 813 | |
---|
| 814 | std::vector<double>::iterator e22 = std::upper_bound(aVecMap[(*t2)].begin(),aVecMap[(*t2)].end(), theta); |
---|
| 815 | std::vector<double>::iterator e21 = e22-1; |
---|
| 816 | |
---|
| 817 | valueT1 =*t1; |
---|
| 818 | valueT2 =*t2; |
---|
| 819 | valueE21 =*e21; |
---|
| 820 | valueE22 =*e22; |
---|
| 821 | valueE12 =*e12; |
---|
| 822 | valueE11 =*e11; |
---|
| 823 | |
---|
| 824 | xs11 = FL1Data[valueT1][valueE11]; |
---|
| 825 | xs12 = FL1Data[valueT1][valueE12]; |
---|
| 826 | xs21 = FL1Data[valueT2][valueE21]; |
---|
| 827 | xs22 = FL1Data[valueT2][valueE22]; |
---|
| 828 | |
---|
| 829 | } |
---|
| 830 | |
---|
| 831 | G4double xsProduct = xs11 * xs12 * xs21 * xs22; |
---|
| 832 | |
---|
| 833 | if (xs11==0 || xs12==0 ||xs21==0 ||xs22==0) return (0.); |
---|
| 834 | |
---|
| 835 | if (xsProduct != 0.) |
---|
| 836 | { |
---|
| 837 | sigma = QuadInterpolator( valueE11, valueE12, |
---|
| 838 | valueE21, valueE22, |
---|
| 839 | xs11, xs12, |
---|
| 840 | xs21, xs22, |
---|
| 841 | valueT1, valueT2, |
---|
| 842 | k, theta ); |
---|
| 843 | } |
---|
| 844 | |
---|
| 845 | return sigma; |
---|
| 846 | } |
---|
| 847 | |
---|
| 848 | |
---|
| 849 | |
---|
| 850 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 851 | |
---|
| 852 | |
---|
| 853 | G4double G4ecpssrLiCrossSection::FunctionFL2(G4double k, G4double theta) |
---|
| 854 | { |
---|
| 855 | |
---|
| 856 | G4double sigma = 0.; |
---|
| 857 | G4double valueT1 = 0; |
---|
| 858 | G4double valueT2 = 0; |
---|
| 859 | G4double valueE21 = 0; |
---|
| 860 | G4double valueE22 = 0; |
---|
| 861 | G4double valueE12 = 0; |
---|
| 862 | G4double valueE11 = 0; |
---|
| 863 | G4double xs11 = 0; |
---|
| 864 | G4double xs12 = 0; |
---|
| 865 | G4double xs21 = 0; |
---|
| 866 | G4double xs22 = 0; |
---|
| 867 | |
---|
| 868 | // PROTECTION TO ALLOW INTERPOLATION AT MINIMUM AND MAXIMUM EtaK/Theta2 values |
---|
| 869 | // (in particular for FK computation at 95 for high velocity formula) |
---|
| 870 | |
---|
| 871 | if ( |
---|
| 872 | theta==9.5e-2 || |
---|
| 873 | theta==9.5e-1 || |
---|
| 874 | theta==9.5e+00 || |
---|
| 875 | theta==9.5e+01 |
---|
| 876 | ) theta=theta-1e-12; |
---|
| 877 | |
---|
| 878 | if ( |
---|
| 879 | theta==1.e-2 || |
---|
| 880 | theta==1.e-1 || |
---|
| 881 | theta==1.e+00 || |
---|
| 882 | theta==1.e+01 |
---|
| 883 | ) theta=theta+1e-12; |
---|
| 884 | |
---|
| 885 | // END PROTECTION |
---|
| 886 | |
---|
| 887 | { |
---|
| 888 | std::vector<double>::iterator t2 = std::upper_bound(dummyVec.begin(),dummyVec.end(), k); |
---|
| 889 | std::vector<double>::iterator t1 = t2-1; |
---|
| 890 | |
---|
| 891 | std::vector<double>::iterator e12 = std::upper_bound(aVecMap[(*t1)].begin(),aVecMap[(*t1)].end(), theta); |
---|
| 892 | std::vector<double>::iterator e11 = e12-1; |
---|
| 893 | |
---|
| 894 | std::vector<double>::iterator e22 = std::upper_bound(aVecMap[(*t2)].begin(),aVecMap[(*t2)].end(), theta); |
---|
| 895 | std::vector<double>::iterator e21 = e22-1; |
---|
| 896 | |
---|
| 897 | valueT1 =*t1; |
---|
| 898 | valueT2 =*t2; |
---|
| 899 | valueE21 =*e21; |
---|
| 900 | valueE22 =*e22; |
---|
| 901 | valueE12 =*e12; |
---|
| 902 | valueE11 =*e11; |
---|
| 903 | |
---|
| 904 | xs11 = FL2Data[valueT1][valueE11]; |
---|
| 905 | xs12 = FL2Data[valueT1][valueE12]; |
---|
| 906 | xs21 = FL2Data[valueT2][valueE21]; |
---|
| 907 | xs22 = FL2Data[valueT2][valueE22]; |
---|
| 908 | |
---|
| 909 | |
---|
| 910 | } |
---|
| 911 | |
---|
| 912 | G4double xsProduct = xs11 * xs12 * xs21 * xs22; |
---|
| 913 | |
---|
| 914 | if (xs11==0 || xs12==0 ||xs21==0 ||xs22==0) return (0.); |
---|
| 915 | |
---|
| 916 | if (xsProduct != 0.) |
---|
| 917 | { |
---|
| 918 | sigma = QuadInterpolator( valueE11, valueE12, |
---|
| 919 | valueE21, valueE22, |
---|
| 920 | xs11, xs12, |
---|
| 921 | xs21, xs22, |
---|
| 922 | valueT1, valueT2, |
---|
| 923 | k, theta ); |
---|
| 924 | } |
---|
| 925 | |
---|
| 926 | return sigma; |
---|
| 927 | } |
---|
| 928 | |
---|
| 929 | |
---|
| 930 | |
---|
| 931 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 932 | |
---|
| 933 | G4double G4ecpssrLiCrossSection::LinLogInterpolate(G4double e1, |
---|
| 934 | G4double e2, |
---|
| 935 | G4double e, |
---|
| 936 | G4double xs1, |
---|
| 937 | G4double xs2) |
---|
| 938 | { |
---|
| 939 | G4double d1 = std::log(xs1); |
---|
| 940 | G4double d2 = std::log(xs2); |
---|
| 941 | G4double value = std::exp(d1 + (d2 - d1)*(e - e1)/ (e2 - e1)); |
---|
| 942 | return value; |
---|
| 943 | } |
---|
| 944 | |
---|
| 945 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 946 | |
---|
| 947 | G4double G4ecpssrLiCrossSection::LogLogInterpolate(G4double e1, |
---|
| 948 | G4double e2, |
---|
| 949 | G4double e, |
---|
| 950 | G4double xs1, |
---|
| 951 | G4double xs2) |
---|
| 952 | { |
---|
| 953 | G4double a = (std::log10(xs2)-std::log10(xs1)) / (std::log10(e2)-std::log10(e1)); |
---|
| 954 | G4double b = std::log10(xs2) - a*std::log10(e2); |
---|
| 955 | G4double sigma = a*std::log10(e) + b; |
---|
| 956 | G4double value = (std::pow(10.,sigma)); |
---|
| 957 | return value; |
---|
| 958 | } |
---|
| 959 | |
---|
| 960 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 961 | |
---|
| 962 | G4double G4ecpssrLiCrossSection::QuadInterpolator(G4double e11, G4double e12, |
---|
| 963 | G4double e21, G4double e22, |
---|
| 964 | G4double xs11, G4double xs12, |
---|
| 965 | G4double xs21, G4double xs22, |
---|
| 966 | G4double t1, G4double t2, |
---|
| 967 | G4double t, G4double e) |
---|
| 968 | { |
---|
| 969 | // Log-Log |
---|
| 970 | /* |
---|
| 971 | G4double interpolatedvalue1 = LogLogInterpolate(e11, e12, e, xs11, xs12); |
---|
| 972 | G4double interpolatedvalue2 = LogLogInterpolate(e21, e22, e, xs21, xs22); |
---|
| 973 | G4double value = LogLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
| 974 | */ |
---|
| 975 | |
---|
| 976 | // Lin-Log |
---|
| 977 | G4double interpolatedvalue1 = LinLogInterpolate(e11, e12, e, xs11, xs12); |
---|
| 978 | G4double interpolatedvalue2 = LinLogInterpolate(e21, e22, e, xs21, xs22); |
---|
| 979 | G4double value = LinLogInterpolate(t1, t2, t, interpolatedvalue1, interpolatedvalue2); |
---|
| 980 | return value; |
---|
| 981 | } |
---|
| 982 | |
---|