#include <G4ecpssrBaseLixsModel.hh>
Inheritance diagram for G4ecpssrBaseLixsModel:
Public Member Functions | |
G4ecpssrBaseLixsModel () | |
~G4ecpssrBaseLixsModel () | |
G4double | CalculateL1CrossSection (G4int zTarget, G4double massIncident, G4double energyIncident) |
G4double | CalculateL2CrossSection (G4int zTarget, G4double massIncident, G4double energyIncident) |
G4double | CalculateL3CrossSection (G4int zTarget, G4double massIncident, G4double energyIncident) |
G4double | CalculateVelocity (G4int subShell, G4int zTarget, G4double massIncident, G4double energyIncident) |
G4double | ExpIntFunction (G4int n, G4double x) |
Definition at line 55 of file G4ecpssrBaseLixsModel.hh.
G4ecpssrBaseLixsModel::G4ecpssrBaseLixsModel | ( | ) |
Definition at line 43 of file G4ecpssrBaseLixsModel.cc.
References FatalException, and G4Exception().
00044 { 00045 verboseLevel=0; 00046 00047 // Storing FLi data needed for 0.2 to 3.0 velocities region 00048 00049 char *path = getenv("G4LEDATA"); 00050 00051 if (!path) { 00052 G4Exception("G4ecpssrLCrossSection::G4ecpssrBaseLixsModel()","em0006", FatalException ,"G4LEDATA environment variable not set"); 00053 return; 00054 } 00055 std::ostringstream fileName1; 00056 std::ostringstream fileName2; 00057 00058 fileName1 << path << "/pixe/uf/FL1.dat"; 00059 fileName2 << path << "/pixe/uf/FL2.dat"; 00060 00061 // Reading of FL1.dat 00062 00063 std::ifstream FL1(fileName1.str().c_str()); 00064 if (!FL1) G4Exception("G4ecpssrLCrossSection::G4ecpssrBaseLixsModel()","em0003",FatalException, "error opening FL1 data file"); 00065 00066 dummyVec1.push_back(0.); 00067 00068 while(!FL1.eof()) 00069 { 00070 double x1; 00071 double y1; 00072 00073 FL1>>x1>>y1; 00074 00075 // Mandatory vector initialization 00076 if (x1 != dummyVec1.back()) 00077 { 00078 dummyVec1.push_back(x1); 00079 aVecMap1[x1].push_back(-1.); 00080 } 00081 00082 FL1>>FL1Data[x1][y1]; 00083 00084 if (y1 != aVecMap1[x1].back()) aVecMap1[x1].push_back(y1); 00085 } 00086 00087 // Reading of FL2.dat 00088 00089 std::ifstream FL2(fileName2.str().c_str()); 00090 if (!FL2) G4Exception("G4ecpssrLCrossSection::G4ecpssrBaseLixsModel()","em0003", FatalException," error opening FL2 data file"); 00091 00092 dummyVec2.push_back(0.); 00093 00094 while(!FL2.eof()) 00095 { 00096 double x2; 00097 double y2; 00098 00099 FL2>>x2>>y2; 00100 00101 // Mandatory vector initialization 00102 if (x2 != dummyVec2.back()) 00103 { 00104 dummyVec2.push_back(x2); 00105 aVecMap2[x2].push_back(-1.); 00106 } 00107 00108 FL2>>FL2Data[x2][y2]; 00109 00110 if (y2 != aVecMap2[x2].back()) aVecMap2[x2].push_back(y2); 00111 } 00112 00113 }
G4ecpssrBaseLixsModel::~G4ecpssrBaseLixsModel | ( | ) |
G4double G4ecpssrBaseLixsModel::CalculateL1CrossSection | ( | G4int | zTarget, | |
G4double | massIncident, | |||
G4double | energyIncident | |||
) | [virtual] |
Implements G4VecpssrLiModel.
Definition at line 192 of file G4ecpssrBaseLixsModel.cc.
References G4Alpha::Alpha(), G4AtomicShell::BindingEnergy(), CalculateVelocity(), ExpIntFunction(), G4cout, G4endl, G4NistManager::GetAtomicMassAmu(), G4ParticleDefinition::GetPDGCharge(), G4ParticleDefinition::GetPDGMass(), G4AtomicTransitionManager::Instance(), G4NistManager::Instance(), G4INCL::Math::pi, G4Proton::Proton(), and G4AtomicTransitionManager::Shell().
00193 { 00194 00195 if (zTarget <=4) return 0.; 00196 00197 //this L1-CrossSection calculation method is done according to Werner Brandt and Grzegorz Lapicki, Phys.Rev.A20 N2 (1979), 00198 //and using data tables of O. Benka et al. At.Data Nucl.Data Tables Vol.22 No.3 (1978). 00199 00200 G4NistManager* massManager = G4NistManager::Instance(); 00201 00202 G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); 00203 00204 G4double zIncident = 0; 00205 G4Proton* aProtone = G4Proton::Proton(); 00206 G4Alpha* aAlpha = G4Alpha::Alpha(); 00207 00208 if (massIncident == aProtone->GetPDGMass() ) 00209 00210 zIncident = (aProtone->GetPDGCharge())/eplus; 00211 00212 else 00213 { 00214 if (massIncident == aAlpha->GetPDGMass()) 00215 00216 zIncident = (aAlpha->GetPDGCharge())/eplus; 00217 00218 else 00219 { 00220 G4cout << "*** WARNING in G4ecpssrBaseLixsModel::CalculateL1CrossSection : Proton or Alpha incident particles only. " << G4endl; 00221 G4cout << massIncident << ", " << aAlpha->GetPDGMass() << " (alpha)" << aProtone->GetPDGMass() << " (proton)" << G4endl; 00222 return 0; 00223 } 00224 } 00225 00226 G4double l1BindingEnergy = transitionManager->Shell(zTarget,1)->BindingEnergy(); //Observed binding energy of L1-subshell 00227 00228 G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; 00229 00230 G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2; //Mass of the system (projectile, target) 00231 00232 const G4double zlshell= 4.15; 00233 // *** see Benka, ADANDT 22, p 223 00234 00235 G4double screenedzTarget = zTarget-zlshell; //Effective nuclear charge as seen by electrons in L1-sub shell 00236 00237 const G4double rydbergMeV= 13.6056923e-6; 00238 00239 const G4double nl= 2.; 00240 // *** see Benka, ADANDT 22, p 220, f3 00241 00242 G4double tetal1 = (l1BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV); //Screening parameter 00243 // *** see Benka, ADANDT 22, p 220, f3 00244 00245 if (verboseLevel>0) G4cout << " tetal1=" << tetal1<< G4endl; 00246 00247 G4double reducedEnergy = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); 00248 // *** also called etaS 00249 // *** see Benka, ADANDT 22, p 220, f3 00250 00251 const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; //Bohr radius of hydrogen 00252 00253 G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); 00254 // *** see Benka, ADANDT 22, p 220, f2, for protons 00255 // *** see Basbas, Phys Rev A7, p 1000 00256 00257 G4double velocityl1 = CalculateVelocity(1, zTarget, massIncident, energyIncident); // Scaled velocity 00258 00259 if (verboseLevel>0) G4cout << " velocityl1=" << velocityl1<< G4endl; 00260 00261 const G4double l1AnalyticalApproximation= 1.5; 00262 G4double x1 =(nl*l1AnalyticalApproximation)/velocityl1; 00263 // *** 1.5 is cK = cL1 (it is 1.25 for L2 & L3) 00264 // *** see Brandt, Phys Rev A20, p 469, f16 in expression of h 00265 00266 if (verboseLevel>0) G4cout << " x1=" << x1<< G4endl; 00267 00268 G4double electrIonizationEnergyl1=0.; 00269 // *** see Basbas, Phys Rev A17, p1665, f27 00270 // *** see Brandt, Phys Rev A20, p469 00271 // *** see Liu, Comp Phys Comm 97, p325, f A5 00272 00273 if ( x1<=0.035) electrIonizationEnergyl1= 0.75*pi*(std::log(1./(x1*x1))-1.); 00274 else 00275 { 00276 if ( x1<=3.) 00277 electrIonizationEnergyl1 =std::exp(-2.*x1)/(0.031+(0.213*std::pow(x1,0.5))+(0.005*x1)-(0.069*std::pow(x1,3./2.))+(0.324*x1*x1)); 00278 else 00279 {if ( x1<=11.) electrIonizationEnergyl1 =2.*std::exp(-2.*x1)/std::pow(x1,1.6);} 00280 } 00281 00282 G4double hFunctionl1 =(electrIonizationEnergyl1*2.*nl)/(tetal1*std::pow(velocityl1,3)); //takes into account the polarization effect 00283 // *** see Brandt, Phys Rev A20, p 469, f16 00284 00285 if (verboseLevel>0) G4cout << " hFunctionl1=" << hFunctionl1<< G4endl; 00286 00287 G4double gFunctionl1 = (1.+(9.*velocityl1)+(31.*velocityl1*velocityl1)+(49.*std::pow(velocityl1,3.))+(162.*std::pow(velocityl1,4.))+(63.*std::pow(velocityl1,5.))+(18.*std::pow(velocityl1,6.))+(1.97*std::pow(velocityl1,7.)))/std::pow(1.+velocityl1,9.);//takes into account the reduced binding effect 00288 // *** see Brandt, Phys Rev A20, p 469, f19 00289 00290 if (verboseLevel>0) G4cout << " gFunctionl1=" << gFunctionl1<< G4endl; 00291 00292 G4double sigmaPSS_l1 = 1.+(((2.*zIncident)/(screenedzTarget*tetal1))*(gFunctionl1-hFunctionl1)); //Binding-polarization factor 00293 // *** also called dzeta 00294 // *** also called epsilon 00295 // *** see Basbas, Phys Rev A17, p1667, f45 00296 00297 if (verboseLevel>0) G4cout << "sigmaPSS_l1 =" << sigmaPSS_l1<< G4endl; 00298 00299 const G4double cNaturalUnit= 137.; 00300 00301 G4double yl1Formula=0.4*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(nl*velocityl1/sigmaPSS_l1); 00302 // *** also called yS 00303 // *** see Brandt, Phys Rev A20, p467, f6 00304 // *** see Brandt, Phys Rev A23, p1728 00305 00306 G4double l1relativityCorrection = std::pow((1.+(1.1*yl1Formula*yl1Formula)),0.5)+yl1Formula; // Relativistic correction parameter 00307 // *** also called mRS 00308 // *** see Brandt, Phys Rev A20, p467, f6 00309 00310 //G4double reducedVelocity_l1 = velocityl1*std::pow(l1relativityCorrection,0.5); //Reduced velocity parameter 00311 00312 G4double L1etaOverTheta2; 00313 00314 G4double universalFunction_l1 = 0.; 00315 00316 G4double sigmaPSSR_l1; 00317 00318 // low velocity formula 00319 // ***************** 00320 if ( velocityl1 <20. ) 00321 { 00322 00323 L1etaOverTheta2 =(reducedEnergy* l1relativityCorrection)/((tetal1*sigmaPSS_l1)*(tetal1*sigmaPSS_l1)); 00324 // *** 1) RELATIVISTIC CORRECTION ADDED 00325 // *** 2) sigma_PSS_l1 ADDED 00326 // *** reducedEnergy is etaS, l1relativityCorrection is mRS 00327 // *** see Phys Rev A20, p468, top 00328 00329 if ( ((tetal1*sigmaPSS_l1) >=0.2) && ((tetal1*sigmaPSS_l1) <=2.6670) && (L1etaOverTheta2>=0.1e-3) && (L1etaOverTheta2<=0.866e2) ) 00330 00331 universalFunction_l1 = FunctionFL1((tetal1*sigmaPSS_l1),L1etaOverTheta2); 00332 00333 if (verboseLevel>0) G4cout << "at low velocity range, universalFunction_l1 =" << universalFunction_l1 << G4endl; 00334 00335 sigmaPSSR_l1 = (sigma0/(tetal1*sigmaPSS_l1))*universalFunction_l1;// Plane-wave Born -Aproximation L1-subshell ionisation Cross Section 00336 // *** see Benka, ADANDT 22, p220, f1 00337 00338 if (verboseLevel>0) G4cout << " at low velocity range, sigma PWBA L1 CS = " << sigmaPSSR_l1<< G4endl; 00339 00340 } 00341 00342 else 00343 00344 { 00345 00346 L1etaOverTheta2 = reducedEnergy/(tetal1*tetal1); 00347 // Medium & high velocity 00348 // *** 1) NO RELATIVISTIC CORRECTION 00349 // *** 2) NO sigma_PSS_l1 00350 // *** see Benka, ADANDT 22, p223 00351 00352 if ( (tetal1 >=0.2) && (tetal1 <=2.6670) && (L1etaOverTheta2>=0.1e-3) && (L1etaOverTheta2<=0.866e2) ) 00353 00354 universalFunction_l1 = FunctionFL1(tetal1,L1etaOverTheta2); 00355 00356 if (verboseLevel>0) G4cout << "at medium and high velocity range, universalFunction_l1 =" << universalFunction_l1 << G4endl; 00357 00358 sigmaPSSR_l1 = (sigma0/tetal1)*universalFunction_l1;// Plane-wave Born -Aproximation L1-subshell ionisation Cross Section 00359 // *** see Benka, ADANDT 22, p220, f1 00360 00361 if (verboseLevel>0) G4cout << " sigma PWBA L1 CS at medium and high velocity range = " << sigmaPSSR_l1<< G4endl; 00362 } 00363 00364 G4double pssDeltal1 = (4./(systemMass *sigmaPSS_l1*tetal1))*(sigmaPSS_l1/velocityl1)*(sigmaPSS_l1/velocityl1); 00365 // *** also called dzeta*delta 00366 // *** see Brandt, Phys Rev A23, p1727, f B2 00367 00368 if (verboseLevel>0) G4cout << " pssDeltal1=" << pssDeltal1<< G4endl; 00369 00370 if (pssDeltal1>1) return 0.; 00371 00372 G4double energyLossl1 = std::pow(1-pssDeltal1,0.5); 00373 // *** also called z 00374 // *** see Brandt, Phys Rev A23, p1727, after f B2 00375 00376 if (verboseLevel>0) G4cout << " energyLossl1=" << energyLossl1<< G4endl; 00377 00378 G4double coulombDeflectionl1 = 00379 (8.*pi*zIncident/systemMass)*std::pow(tetal1*sigmaPSS_l1,-2.)*std::pow(velocityl1/sigmaPSS_l1,-3.)*(zTarget/screenedzTarget); 00380 // *** see Brandt, Phys Rev A20, v2s and f2 and B2 00381 // *** with factor n2 compared to Brandt, Phys Rev A23, p1727, f B3 00382 00383 G4double cParameterl1 =2.* coulombDeflectionl1/(energyLossl1*(energyLossl1+1.)); 00384 // *** see Brandt, Phys Rev A23, p1727, f B4 00385 00386 G4double coulombDeflectionFunction_l1 = 9.*ExpIntFunction(10,cParameterl1); //Coulomb-deflection effect correction 00387 00388 if (verboseLevel>0) G4cout << " coulombDeflectionFunction_l1 =" << coulombDeflectionFunction_l1 << G4endl; 00389 00390 G4double crossSection_L1 = coulombDeflectionFunction_l1 * sigmaPSSR_l1; 00391 00392 //ECPSSR L1 -subshell cross section is estimated at perturbed-stationnairy-state(PSS) 00393 //and reduced by the energy-loss(E),the Coulomb deflection(C),and the relativity(R) effects 00394 00395 if (verboseLevel>0) G4cout << " crossSection_L1 =" << crossSection_L1 << G4endl; 00396 00397 if (crossSection_L1 >= 0) 00398 { 00399 return crossSection_L1 * barn; 00400 } 00401 00402 else {return 0;} 00403 }
G4double G4ecpssrBaseLixsModel::CalculateL2CrossSection | ( | G4int | zTarget, | |
G4double | massIncident, | |||
G4double | energyIncident | |||
) | [virtual] |
Implements G4VecpssrLiModel.
Definition at line 407 of file G4ecpssrBaseLixsModel.cc.
References G4Alpha::Alpha(), G4AtomicShell::BindingEnergy(), CalculateVelocity(), ExpIntFunction(), G4cout, G4endl, G4NistManager::GetAtomicMassAmu(), G4ParticleDefinition::GetPDGCharge(), G4ParticleDefinition::GetPDGMass(), G4AtomicTransitionManager::Instance(), G4NistManager::Instance(), G4INCL::Math::pi, G4Proton::Proton(), and G4AtomicTransitionManager::Shell().
00409 { 00410 if (zTarget <=13 ) return 0.; 00411 00412 // this L2-CrossSection calculation method is done according to Werner Brandt and Grzegorz Lapicki, Phys.Rev.A20 N2 (1979), 00413 // and using data tables of O. Benka et al. At.Data Nucl.Data Tables Vol.22 No.3 (1978). 00414 00415 G4NistManager* massManager = G4NistManager::Instance(); 00416 00417 G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); 00418 00419 G4double zIncident = 0; 00420 00421 G4Proton* aProtone = G4Proton::Proton(); 00422 G4Alpha* aAlpha = G4Alpha::Alpha(); 00423 00424 if (massIncident == aProtone->GetPDGMass() ) 00425 00426 zIncident = (aProtone->GetPDGCharge())/eplus; 00427 00428 else 00429 { 00430 if (massIncident == aAlpha->GetPDGMass()) 00431 00432 zIncident = (aAlpha->GetPDGCharge())/eplus; 00433 00434 else 00435 { 00436 G4cout << "*** WARNING in G4ecpssrBaseLixsModel::CalculateL2CrossSection : Proton or Alpha incident particles only. " << G4endl; 00437 G4cout << massIncident << ", " << aAlpha->GetPDGMass() << " (alpha)" << aProtone->GetPDGMass() << " (proton)" << G4endl; 00438 return 0; 00439 } 00440 } 00441 00442 G4double l2BindingEnergy = transitionManager->Shell(zTarget,2)->BindingEnergy(); //Observed binding energy of L2-subshell 00443 00444 G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; 00445 00446 G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2; //Mass of the system (projectile, target) 00447 00448 const G4double zlshell= 4.15; 00449 00450 G4double screenedzTarget = zTarget-zlshell; //Effective nuclear charge as seen by electrons in L2-subshell 00451 00452 const G4double rydbergMeV= 13.6056923e-6; 00453 00454 const G4double nl= 2.; 00455 00456 G4double tetal2 = (l2BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV); //Screening parameter 00457 00458 if (verboseLevel>0) G4cout << " tetal2=" << tetal2<< G4endl; 00459 00460 G4double reducedEnergy = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); 00461 00462 const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ; //Bohr radius of hydrogen 00463 00464 G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); 00465 00466 G4double velocityl2 = CalculateVelocity(2, zTarget, massIncident, energyIncident); // Scaled velocity 00467 00468 if (verboseLevel>0) G4cout << " velocityl2=" << velocityl2<< G4endl; 00469 00470 const G4double l23AnalyticalApproximation= 1.25; 00471 00472 G4double x2 = (nl*l23AnalyticalApproximation)/velocityl2; 00473 00474 if (verboseLevel>0) G4cout << " x2=" << x2<< G4endl; 00475 00476 G4double electrIonizationEnergyl2=0.; 00477 00478 if ( x2<=0.035) electrIonizationEnergyl2= 0.75*pi*(std::log(1./(x2*x2))-1.); 00479 else 00480 { 00481 if ( x2<=3.) 00482 electrIonizationEnergyl2 =std::exp(-2.*x2)/(0.031+(0.213*std::pow(x2,0.5))+(0.005*x2)-(0.069*std::pow(x2,3./2.))+(0.324*x2*x2)); 00483 else 00484 {if ( x2<=11.) electrIonizationEnergyl2 =2.*std::exp(-2.*x2)/std::pow(x2,1.6); } 00485 } 00486 00487 G4double hFunctionl2 =(electrIonizationEnergyl2*2.*nl)/(tetal2*std::pow(velocityl2,3)); //takes into account the polarization effect 00488 00489 if (verboseLevel>0) G4cout << " hFunctionl2=" << hFunctionl2<< G4endl; 00490 00491 G4double gFunctionl2 = (1.+(10.*velocityl2)+(45.*velocityl2*velocityl2)+(102.*std::pow(velocityl2,3.))+(331.*std::pow(velocityl2,4.))+(6.7*std::pow(velocityl2,5.))+(58.*std::pow(velocityl2,6.))+(7.8*std::pow(velocityl2,7.))+ (0.888*std::pow(velocityl2,8.)) )/std::pow(1.+velocityl2,10.); 00492 //takes into account the reduced binding effect 00493 00494 if (verboseLevel>0) G4cout << " gFunctionl2=" << gFunctionl2<< G4endl; 00495 00496 G4double sigmaPSS_l2 = 1.+(((2.*zIncident)/(screenedzTarget*tetal2))*(gFunctionl2-hFunctionl2)); //Binding-polarization factor 00497 00498 if (verboseLevel>0) G4cout << " sigmaPSS_l2=" << sigmaPSS_l2<< G4endl; 00499 00500 const G4double cNaturalUnit= 137.; 00501 00502 G4double yl2Formula=0.15*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocityl2/sigmaPSS_l2); 00503 00504 G4double l2relativityCorrection = std::pow((1.+(1.1*yl2Formula*yl2Formula)),0.5)+yl2Formula; // Relativistic correction parameter 00505 00506 G4double L2etaOverTheta2; 00507 00508 G4double universalFunction_l2 = 0.; 00509 00510 G4double sigmaPSSR_l2 ; 00511 00512 if ( velocityl2 < 20. ) 00513 { 00514 00515 L2etaOverTheta2 = (reducedEnergy*l2relativityCorrection)/((sigmaPSS_l2*tetal2)*(sigmaPSS_l2*tetal2)); 00516 00517 if ( (tetal2*sigmaPSS_l2>=0.2) && (tetal2*sigmaPSS_l2<=2.6670) && (L2etaOverTheta2>=0.1e-3) && (L2etaOverTheta2<=0.866e2) ) 00518 00519 universalFunction_l2 = FunctionFL2((tetal2*sigmaPSS_l2),L2etaOverTheta2); 00520 00521 sigmaPSSR_l2 = (sigma0/(tetal2*sigmaPSS_l2))*universalFunction_l2; 00522 00523 if (verboseLevel>0) G4cout << " sigma PWBA L2 CS at low velocity range = " << sigmaPSSR_l2<< G4endl; 00524 } 00525 else 00526 { 00527 00528 L2etaOverTheta2 = reducedEnergy /(tetal2*tetal2); 00529 00530 if ( (tetal2>=0.2) && (tetal2<=2.6670) && (L2etaOverTheta2>=0.1e-3) && (L2etaOverTheta2<=0.866e2) ) 00531 00532 universalFunction_l2 = FunctionFL2((tetal2),L2etaOverTheta2); 00533 00534 sigmaPSSR_l2 = (sigma0/tetal2)*universalFunction_l2; 00535 00536 if (verboseLevel>0) G4cout << " sigma PWBA L2 CS at medium and high velocity range = " << sigmaPSSR_l2<< G4endl; 00537 00538 } 00539 00540 G4double pssDeltal2 = (4./(systemMass*sigmaPSS_l2*tetal2))*(sigmaPSS_l2/velocityl2)*(sigmaPSS_l2/velocityl2); 00541 00542 if (pssDeltal2>1) return 0.; 00543 00544 G4double energyLossl2 = std::pow(1-pssDeltal2,0.5); 00545 00546 if (verboseLevel>0) G4cout << " energyLossl2=" << energyLossl2<< G4endl; 00547 00548 G4double coulombDeflectionl2 00549 =(8.*pi*zIncident/systemMass)*std::pow(tetal2*sigmaPSS_l2,-2.)*std::pow(velocityl2/sigmaPSS_l2,-3.)*(zTarget/screenedzTarget); 00550 00551 G4double cParameterl2 = 2.*coulombDeflectionl2/(energyLossl2*(energyLossl2+1.)); 00552 00553 G4double coulombDeflectionFunction_l2 = 11.*ExpIntFunction(12,cParameterl2); //Coulomb-deflection effect correction 00554 // *** see Brandt, Phys Rev A10, p477, f25 00555 00556 if (verboseLevel>0) G4cout << " coulombDeflectionFunction_l2 =" << coulombDeflectionFunction_l2 << G4endl; 00557 00558 G4double crossSection_L2 = coulombDeflectionFunction_l2 * sigmaPSSR_l2; 00559 //ECPSSR L2 -subshell cross section is estimated at perturbed-stationnairy-state(PSS) 00560 //and reduced by the energy-loss(E),the Coulomb deflection(C),and the relativity(R) effects 00561 00562 if (verboseLevel>0) G4cout << " crossSection_L2 =" << crossSection_L2 << G4endl; 00563 00564 if (crossSection_L2 >= 0) 00565 { 00566 return crossSection_L2 * barn; 00567 } 00568 else {return 0;} 00569 }
G4double G4ecpssrBaseLixsModel::CalculateL3CrossSection | ( | G4int | zTarget, | |
G4double | massIncident, | |||
G4double | energyIncident | |||
) | [virtual] |
Implements G4VecpssrLiModel.
Definition at line 574 of file G4ecpssrBaseLixsModel.cc.
References G4Alpha::Alpha(), G4AtomicShell::BindingEnergy(), CalculateVelocity(), ExpIntFunction(), G4cout, G4endl, G4NistManager::GetAtomicMassAmu(), G4ParticleDefinition::GetPDGCharge(), G4ParticleDefinition::GetPDGMass(), G4AtomicTransitionManager::Instance(), G4NistManager::Instance(), G4INCL::Math::pi, G4Proton::Proton(), and G4AtomicTransitionManager::Shell().
00576 { 00577 if (zTarget <=13) return 0.; 00578 00579 //this L3-CrossSection calculation method is done according to Werner Brandt and Grzegorz Lapicki, Phys.Rev.A20 N2 (1979), 00580 //and using data tables of O. Benka et al. At.Data Nucl.Data Tables Vol.22 No.3 (1978). 00581 00582 G4NistManager* massManager = G4NistManager::Instance(); 00583 00584 G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); 00585 00586 G4double zIncident = 0; 00587 00588 G4Proton* aProtone = G4Proton::Proton(); 00589 G4Alpha* aAlpha = G4Alpha::Alpha(); 00590 00591 if (massIncident == aProtone->GetPDGMass() ) 00592 00593 zIncident = (aProtone->GetPDGCharge())/eplus; 00594 00595 else 00596 { 00597 if (massIncident == aAlpha->GetPDGMass()) 00598 00599 zIncident = (aAlpha->GetPDGCharge())/eplus; 00600 00601 else 00602 { 00603 G4cout << "*** WARNING in G4ecpssrBaseLixsModel::CalculateL3CrossSection : Proton or Alpha incident particles only. " << G4endl; 00604 G4cout << massIncident << ", " << aAlpha->GetPDGMass() << " (alpha)" << aProtone->GetPDGMass() << " (proton)" << G4endl; 00605 return 0; 00606 } 00607 } 00608 00609 G4double l3BindingEnergy = transitionManager->Shell(zTarget,3)->BindingEnergy(); 00610 00611 G4double massTarget = (massManager->GetAtomicMassAmu(zTarget))*amu_c2; 00612 00613 G4double systemMass =((massIncident*massTarget)/(massIncident+massTarget))/electron_mass_c2;//Mass of the system (projectile, target) 00614 00615 const G4double zlshell= 4.15; 00616 00617 G4double screenedzTarget = zTarget-zlshell;//Effective nuclear charge as seen by electrons in L3-subshell 00618 00619 const G4double rydbergMeV= 13.6056923e-6; 00620 00621 const G4double nl= 2.; 00622 00623 G4double tetal3 = (l3BindingEnergy*nl*nl)/((screenedzTarget*screenedzTarget)*rydbergMeV);//Screening parameter 00624 00625 if (verboseLevel>0) G4cout << " tetal3=" << tetal3<< G4endl; 00626 00627 G4double reducedEnergy = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); 00628 00629 const G4double bohrPow2Barn=(Bohr_radius*Bohr_radius)/barn ;//Bohr radius of hydrogen 00630 00631 G4double sigma0 = 8.*pi*(zIncident*zIncident)*bohrPow2Barn*std::pow(screenedzTarget,-4.); 00632 00633 G4double velocityl3 = CalculateVelocity(3, zTarget, massIncident, energyIncident);// Scaled velocity 00634 00635 if (verboseLevel>0) G4cout << " velocityl3=" << velocityl3<< G4endl; 00636 00637 const G4double l23AnalyticalApproximation= 1.25; 00638 00639 G4double x3 = (nl*l23AnalyticalApproximation)/velocityl3; 00640 00641 if (verboseLevel>0) G4cout << " x3=" << x3<< G4endl; 00642 00643 G4double electrIonizationEnergyl3=0.; 00644 00645 if ( x3<=0.035) electrIonizationEnergyl3= 0.75*pi*(std::log(1./(x3*x3))-1.); 00646 else 00647 { 00648 if ( x3<=3.) electrIonizationEnergyl3 =std::exp(-2.*x3)/(0.031+(0.213*std::pow(x3,0.5))+(0.005*x3)-(0.069*std::pow(x3,3./2.))+(0.324*x3*x3)); 00649 else 00650 { 00651 if ( x3<=11.) electrIonizationEnergyl3 =2.*std::exp(-2.*x3)/std::pow(x3,1.6);} 00652 } 00653 00654 G4double hFunctionl3 =(electrIonizationEnergyl3*2.*nl)/(tetal3*std::pow(velocityl3,3));//takes into account the polarization effect 00655 00656 if (verboseLevel>0) G4cout << " hFunctionl3=" << hFunctionl3<< G4endl; 00657 00658 G4double gFunctionl3 = (1.+(10.*velocityl3)+(45.*velocityl3*velocityl3)+(102.*std::pow(velocityl3,3.))+(331.*std::pow(velocityl3,4.))+(6.7*std::pow(velocityl3,5.))+(58.*std::pow(velocityl3,6.))+(7.8*std::pow(velocityl3,7.))+ (0.888*std::pow(velocityl3,8.)) )/std::pow(1.+velocityl3,10.); 00659 //takes into account the reduced binding effect 00660 00661 if (verboseLevel>0) G4cout << " gFunctionl3=" << gFunctionl3<< G4endl; 00662 00663 G4double sigmaPSS_l3 = 1.+(((2.*zIncident)/(screenedzTarget*tetal3))*(gFunctionl3-hFunctionl3));//Binding-polarization factor 00664 00665 if (verboseLevel>0) G4cout << "sigmaPSS_l3 =" << sigmaPSS_l3<< G4endl; 00666 00667 const G4double cNaturalUnit= 137.; 00668 00669 G4double yl3Formula=0.15*(screenedzTarget/cNaturalUnit)*(screenedzTarget/cNaturalUnit)/(velocityl3/sigmaPSS_l3); 00670 00671 G4double l3relativityCorrection = std::pow((1.+(1.1*yl3Formula*yl3Formula)),0.5)+yl3Formula; // Relativistic correction parameter 00672 00673 G4double L3etaOverTheta2; 00674 00675 G4double universalFunction_l3 = 0.; 00676 00677 G4double sigmaPSSR_l3; 00678 00679 if ( velocityl3 < 20. ) 00680 { 00681 00682 L3etaOverTheta2 = (reducedEnergy* l3relativityCorrection)/((sigmaPSS_l3*tetal3)*(sigmaPSS_l3*tetal3)); 00683 00684 if ( (tetal3*sigmaPSS_l3>=0.2) && (tetal3*sigmaPSS_l3<=2.6670) && (L3etaOverTheta2>=0.1e-3) && (L3etaOverTheta2<=0.866e2) ) 00685 00686 universalFunction_l3 = 2.*FunctionFL2((tetal3*sigmaPSS_l3), L3etaOverTheta2 ); 00687 00688 sigmaPSSR_l3 = (sigma0/(tetal3*sigmaPSS_l3))*universalFunction_l3; 00689 00690 if (verboseLevel>0) G4cout << " sigma PWBA L3 CS at low velocity range = " << sigmaPSSR_l3<< G4endl; 00691 00692 } 00693 00694 else 00695 00696 { 00697 00698 L3etaOverTheta2 = reducedEnergy/(tetal3*tetal3); 00699 00700 if ( (tetal3>=0.2) && (tetal3<=2.6670) && (L3etaOverTheta2>=0.1e-3) && (L3etaOverTheta2<=0.866e2) ) 00701 00702 universalFunction_l3 = 2.*FunctionFL2(tetal3, L3etaOverTheta2 ); 00703 00704 sigmaPSSR_l3 = (sigma0/tetal3)*universalFunction_l3; 00705 00706 if (verboseLevel>0) G4cout << " sigma PWBA L3 CS at medium and high velocity range = " << sigmaPSSR_l3<< G4endl; 00707 } 00708 00709 G4double pssDeltal3 = (4./(systemMass*sigmaPSS_l3*tetal3))*(sigmaPSS_l3/velocityl3)*(sigmaPSS_l3/velocityl3); 00710 00711 if (verboseLevel>0) G4cout << " pssDeltal3=" << pssDeltal3<< G4endl; 00712 00713 if (pssDeltal3>1) return 0.; 00714 00715 G4double energyLossl3 = std::pow(1-pssDeltal3,0.5); 00716 00717 if (verboseLevel>0) G4cout << " energyLossl3=" << energyLossl3<< G4endl; 00718 00719 G4double coulombDeflectionl3 = 00720 (8.*pi*zIncident/systemMass)*std::pow(tetal3*sigmaPSS_l3,-2.)*std::pow(velocityl3/sigmaPSS_l3,-3.)*(zTarget/screenedzTarget); 00721 00722 G4double cParameterl3 = 2.*coulombDeflectionl3/(energyLossl3*(energyLossl3+1.)); 00723 00724 G4double coulombDeflectionFunction_l3 = 11.*ExpIntFunction(12,cParameterl3);//Coulomb-deflection effect correction 00725 // *** see Brandt, Phys Rev A10, p477, f25 00726 00727 if (verboseLevel>0) G4cout << " coulombDeflectionFunction_l3 =" << coulombDeflectionFunction_l3 << G4endl; 00728 00729 G4double crossSection_L3 = coulombDeflectionFunction_l3 * sigmaPSSR_l3; 00730 //ECPSSR L3 -subshell cross section is estimated at perturbed-stationnairy-state(PSS) 00731 //and reduced by the energy-loss(E),the Coulomb deflection(C),and the relativity(R) effects 00732 00733 if (verboseLevel>0) G4cout << " crossSection_L3 =" << crossSection_L3 << G4endl; 00734 00735 if (crossSection_L3 >= 0) 00736 { 00737 return crossSection_L3 * barn; 00738 } 00739 else {return 0;} 00740 }
G4double G4ecpssrBaseLixsModel::CalculateVelocity | ( | G4int | subShell, | |
G4int | zTarget, | |||
G4double | massIncident, | |||
G4double | energyIncident | |||
) |
Definition at line 744 of file G4ecpssrBaseLixsModel.cc.
References G4Alpha::Alpha(), G4AtomicShell::BindingEnergy(), G4cout, G4endl, G4ParticleDefinition::GetPDGMass(), G4AtomicTransitionManager::Instance(), G4Proton::Proton(), and G4AtomicTransitionManager::Shell().
Referenced by CalculateL1CrossSection(), CalculateL2CrossSection(), and CalculateL3CrossSection().
00746 { 00747 00748 G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); 00749 00750 G4double liBindingEnergy = transitionManager->Shell(zTarget,subShell)->BindingEnergy(); 00751 00752 G4Proton* aProtone = G4Proton::Proton(); 00753 G4Alpha* aAlpha = G4Alpha::Alpha(); 00754 00755 if (!((massIncident == aProtone->GetPDGMass()) || (massIncident == aAlpha->GetPDGMass()))) 00756 { 00757 G4cout << "*** WARNING in G4ecpssrBaseLixsModel::CalculateVelocity : Proton or Alpha incident particles only. " << G4endl; 00758 G4cout << massIncident << ", " << aAlpha->GetPDGMass() << " (alpha)" << aProtone->GetPDGMass() << " (proton)" << G4endl; 00759 return 0; 00760 } 00761 00762 const G4double zlshell= 4.15; 00763 00764 G4double screenedzTarget = zTarget- zlshell; 00765 00766 const G4double rydbergMeV= 13.6056923e-6; 00767 00768 const G4double nl= 2.; 00769 00770 G4double tetali = (liBindingEnergy*nl*nl)/(screenedzTarget*screenedzTarget*rydbergMeV); 00771 00772 G4double reducedEnergy = (energyIncident*electron_mass_c2)/(massIncident*rydbergMeV*screenedzTarget*screenedzTarget); 00773 00774 G4double velocity = 2.*nl*std::pow(reducedEnergy,0.5)/tetali; 00775 // *** see Brandt, Phys Rev A10, p10, f4 00776 00777 return velocity; 00778 }
Definition at line 122 of file G4ecpssrBaseLixsModel.cc.
References G4cout, and G4endl.
Referenced by CalculateL1CrossSection(), CalculateL2CrossSection(), and CalculateL3CrossSection().
00124 { 00125 // this function allows fast evaluation of the n order exponential integral function En(x) 00126 00127 G4int i; 00128 G4int ii; 00129 G4int nm1; 00130 G4double a; 00131 G4double b; 00132 G4double c; 00133 G4double d; 00134 G4double del; 00135 G4double fact; 00136 G4double h; 00137 G4double psi; 00138 G4double ans = 0; 00139 const G4double euler= 0.5772156649; 00140 const G4int maxit= 100; 00141 const G4double fpmin = 1.0e-30; 00142 const G4double eps = 1.0e-7; 00143 nm1=n-1; 00144 if (n<0 || x<0.0 || (x==0.0 && (n==0 || n==1))) 00145 G4cout << "*** WARNING in G4ecpssrBaseLixsModel::ExpIntFunction: bad arguments in ExpIntFunction" 00146 << G4endl; 00147 else { 00148 if (n==0) ans=std::exp(-x)/x; 00149 else { 00150 if (x==0.0) ans=1.0/nm1; 00151 else { 00152 if (x > 1.0) { 00153 b=x+n; 00154 c=1.0/fpmin; 00155 d=1.0/b; 00156 h=d; 00157 for (i=1;i<=maxit;i++) { 00158 a=-i*(nm1+i); 00159 b +=2.0; 00160 d=1.0/(a*d+b); 00161 c=b+a/c; 00162 del=c*d; 00163 h *=del; 00164 if (std::fabs(del-1.0) < eps) { 00165 ans=h*std::exp(-x); 00166 return ans; 00167 } 00168 } 00169 } else { 00170 ans = (nm1!=0 ? 1.0/nm1 : -std::log(x)-euler); 00171 fact=1.0; 00172 for (i=1;i<=maxit;i++) { 00173 fact *=-x/i; 00174 if (i !=nm1) del = -fact/(i-nm1); 00175 else { 00176 psi = -euler; 00177 for (ii=1;ii<=nm1;ii++) psi +=1.0/ii; 00178 del=fact*(-std::log(x)+psi); 00179 } 00180 ans += del; 00181 if (std::fabs(del) < std::fabs(ans)*eps) return ans; 00182 } 00183 } 00184 } 00185 } 00186 } 00187 return ans; 00188 }