| Geant4 Cross Reference |
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25 // 25 //
26 // G4ScreeningMottCrossSection.cc 26 // G4ScreeningMottCrossSection.cc
27 //-------------------------------------------- 27 //-------------------------------------------------------------------
28 // 28 //
29 // GEANT4 Class header file 29 // GEANT4 Class header file
30 // 30 //
31 // File name: G4ScreeningMottCrossSection 31 // File name: G4ScreeningMottCrossSection
32 // 32 //
33 // Author: Cristina Consolandi 33 // Author: Cristina Consolandi
34 // 34 //
35 // Creation date: 20.10.2011 35 // Creation date: 20.10.2011
36 // 36 //
37 // Modifications: 37 // Modifications:
38 // 27-05-2012 Added Analytic Fitting to the Mo 38 // 27-05-2012 Added Analytic Fitting to the Mott Cross Section by means of G4MottCoefficients class.
39 // 39 //
40 // 40 //
41 // Class Description: 41 // Class Description:
42 // Computation of electron Coulomb Scattering 42 // Computation of electron Coulomb Scattering Cross Section.
43 // Suitable for high energy electrons and lig 43 // Suitable for high energy electrons and light target materials.
44 // 44 //
45 // Reference: 45 // Reference:
46 // M.J. Boschini et al. 46 // M.J. Boschini et al.
47 // "Non Ionizing Energy Loss induced by El 47 // "Non Ionizing Energy Loss induced by Electrons in the Space Environment"
48 // Proc. of the 13th International Confer 48 // Proc. of the 13th International Conference on Particle Physics and Advanced Technology
49 // (13th ICPPAT, Como 3-7/10/2011), World 49 // (13th ICPPAT, Como 3-7/10/2011), World Scientific (Singapore).
50 // Available at: http://arxiv.org/abs/1111.40 50 // Available at: http://arxiv.org/abs/1111.4042v4
51 // 51 //
52 // 1) Mott Differential Cross Section App 52 // 1) Mott Differential Cross Section Approximation:
53 // For Target material up to Z=92 (U): 53 // For Target material up to Z=92 (U):
54 // As described in http://arxiv.org/ab 54 // As described in http://arxiv.org/abs/1111.4042v4
55 // par. 2.1 , eq. (16)-(17) 55 // par. 2.1 , eq. (16)-(17)
56 // Else (Z>92): 56 // Else (Z>92):
57 // W. A. McKinley and H. Fashbach, Phys. R 57 // W. A. McKinley and H. Fashbach, Phys. Rev. 74, (1948) 1759.
58 // 2) Screening coefficient: 58 // 2) Screening coefficient:
59 // vomn G. Moliere, Z. Naturforsh A2 (194 59 // vomn G. Moliere, Z. Naturforsh A2 (1947), 133-145; A3 (1948), 78.
60 // 3) Nuclear Form Factor: 60 // 3) Nuclear Form Factor:
61 // A.V. Butkevich et al. Nucl. Instr. Met 61 // A.V. Butkevich et al. Nucl. Instr. Meth. A488 (2002), 282-294.
62 // 62 //
63 // ------------------------------------------- 63 // ---------------------------------------------------------------------------
64 // 64 //
65 //....oooOO0OOooo........oooOO0OOooo........oo 65 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
66 66
67 #include "G4ScreeningMottCrossSection.hh" 67 #include "G4ScreeningMottCrossSection.hh"
68 #include "G4PhysicalConstants.hh" 68 #include "G4PhysicalConstants.hh"
69 #include "G4SystemOfUnits.hh" 69 #include "G4SystemOfUnits.hh"
70 #include "Randomize.hh" 70 #include "Randomize.hh"
71 #include "G4Proton.hh" 71 #include "G4Proton.hh"
72 #include "G4LossTableManager.hh" 72 #include "G4LossTableManager.hh"
73 #include "G4NucleiProperties.hh" 73 #include "G4NucleiProperties.hh"
74 #include "G4Element.hh" 74 #include "G4Element.hh"
75 #include "G4UnitsTable.hh" 75 #include "G4UnitsTable.hh"
76 #include "G4NistManager.hh" 76 #include "G4NistManager.hh"
77 #include "G4ThreeVector.hh" 77 #include "G4ThreeVector.hh"
78 #include "G4Pow.hh" 78 #include "G4Pow.hh"
79 #include "G4MottData.hh" 79 #include "G4MottData.hh"
80 80
81 //....oooOO0OOooo........oooOO0OOooo........oo 81 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
82 82
83 static G4double invlog10 = 1./std::log(10.); 83 static G4double invlog10 = 1./std::log(10.);
84 84
85 static const G4double angle[DIMMOTT]={ << 85 static G4double angle[DIM]={1e-07,1.02329e-07,1.04713e-07,1.07152e-07,1.09648e-07,1.12202e-07,1.14815e-07,1.1749e-07,1.20226e-07,1.23027e-07,1.25893e-07,1.28825e-07,1.31826e-07,1.34896e-07,1.38038e-07,1.41254e-07,1.44544e-07,1.47911e-07,1.51356e-07,1.54882e-07,1.58489e-07,1.62181e-07,1.65959e-07,1.69824e-07,1.7378e-07,1.77828e-07,1.8197e-07,1.86209e-07,1.90546e-07,1.94984e-07,1.99526e-07,2.04174e-07,2.0893e-07,2.13796e-07,2.18776e-07,2.23872e-07,2.29087e-07,2.34423e-07,2.39883e-07,2.45471e-07,2.51189e-07,2.5704e-07,2.63027e-07,2.69153e-07,2.75423e-07,2.81838e-07,2.88403e-07,2.95121e-07,3.01995e-07,3.0903e-07,3.16228e-07,3.23594e-07,3.31131e-07,3.38844e-07,3.46737e-07,3.54813e-07,3.63078e-07,3.71535e-07,3.80189e-07,3.89045e-07,3.98107e-07,4.0738e-07,4.16869e-07,4.2658e-07,4.36516e-07,4.46684e-07,4.57088e-07,4.67735e-07,4.7863e-07,4.89779e-07,5.01187e-07,5.12861e-07,5.24807e-07,5.37032e-07,5.49541e-07,5.62341e-07,5.7544e-07,5.88844e-07,6.0256e-07,6.16595e-07,6.30957e-07,6.45654e-07,6.60693e-07,6.76083e-07,6.91831e-07,7.07946e-07,7.24436e-07,7.4131e-07,7.58578e-07,7.76247e-07,7.94328e-07,8.12831e-07,8.31764e-07,8.51138e-07,8.70964e-07,8.91251e-07,9.12011e-07,9.33254e-07,9.54993e-07,9.77237e-07,1e-06,1.02329e-06,1.04713e-06,1.07152e-06,1.09648e-06,1.12202e-06,1.14815e-06,1.1749e-06,1.20226e-06,1.23027e-06,1.25893e-06,1.28825e-06,1.31826e-06,1.34896e-06,1.38038e-06,1.41254e-06,1.44544e-06,1.47911e-06,1.51356e-06,1.54882e-06,1.58489e-06,1.62181e-06,1.65959e-06,1.69824e-06,1.7378e-06,1.77828e-06,1.8197e-06,1.86209e-06,1.90546e-06,1.94984e-06,1.99526e-06,2.04174e-06,2.0893e-06,2.13796e-06,2.18776e-06,2.23872e-06,2.29087e-06,2.34423e-06,2.39883e-06,2.45471e-06,2.51189e-06,2.5704e-06,2.63027e-06,2.69153e-06,2.75423e-06,2.81838e-06,2.88403e-06,2.95121e-06,3.01995e-06,3.0903e-06,3.16228e-06,3.23594e-06,3.31131e-06,3.38844e-06,3.46737e-06,3.54813e-06,3.63078e-06,3.71535e-06,3.80189e-06,3.89045e-06,3.98107e-06,4.0738e-06,4.16869e-06,4.2658e-06,4.36516e-06,4.46684e-06,4.57088e-06,4.67735e-06,4.7863e-06,4.89779e-06,5.01187e-06,5.12861e-06,5.24807e-06,5.37032e-06,5.49541e-06,5.62341e-06,5.7544e-06,5.88844e-06,6.0256e-06,6.16595e-06,6.30957e-06,6.45654e-06,6.60693e-06,6.76083e-06,6.91831e-06,7.07946e-06,7.24436e-06,7.4131e-06,7.58578e-06,7.76247e-06,7.94328e-06,8.12831e-06,8.31764e-06,8.51138e-06,8.70964e-06,8.91251e-06,9.12011e-06,9.33254e-06,9.54993e-06,9.77237e-06,1e-05,1.02329e-05,1.04713e-05,1.07152e-05,1.09648e-05,1.12202e-05,1.14815e-05,1.1749e-05,1.20226e-05,1.23027e-05,1.25893e-05,1.28825e-05,1.31826e-05,1.34896e-05,1.38038e-05,1.41254e-05,1.44544e-05,1.47911e-05,1.51356e-05,1.54882e-05,1.58489e-05,1.62181e-05,1.65959e-05,1.69824e-05,1.7378e-05,1.77828e-05,1.8197e-05,1.86209e-05,1.90546e-05,1.94984e-05,1.99526e-05,2.04174e-05,2.0893e-05,2.13796e-05,2.18776e-05,2.23872e-05,2.29087e-05,2.34423e-05,2.39883e-05,2.45471e-05,2.51189e-05,2.5704e-05,2.63027e-05,2.69153e-05,2.75423e-05,2.81838e-05,2.88403e-05,2.95121e-05,3.01995e-05,3.0903e-05,3.16228e-05,3.23594e-05,3.31131e-05,3.38844e-05,3.46737e-05,3.54813e-05,3.63078e-05,3.71535e-05,3.80189e-05,3.89045e-05,3.98107e-05,4.0738e-05,4.16869e-05,4.2658e-05,4.36516e-05,4.46684e-05,4.57088e-05,4.67735e-05,4.7863e-05,4.89779e-05,5.01187e-05,5.12861e-05,5.24807e-05,5.37032e-05,5.49541e-05,5.62341e-05,5.7544e-05,5.88844e-05,6.0256e-05,6.16595e-05,6.30957e-05,6.45654e-05,6.60693e-05,6.76083e-05,6.91831e-05,7.07946e-05,7.24436e-05,7.4131e-05,7.58578e-05,7.76247e-05,7.94328e-05,8.12831e-05,8.31764e-05,8.51138e-05,8.70964e-05,8.91251e-05,9.12011e-05,9.33254e-05,9.54993e-05,9.77237e-05,0.0001,0.000102329,0.000104713,0.000107152,0.000109648,0.000112202,0.000114815,0.00011749,0.000120226,0.000123027,0.000125893,0.000128825,0.000131826,0.000134896,0.000138038,0.000141254,0.000144544,0.000147911,0.000151356,0.000154882,0.000158489,0.000162181,0.000165959,0.000169824,0.00017378,0.000177828,0.00018197,0.000186209,0.000190546,0.000194984,0.000199526,0.000204174,0.00020893,0.000213796,0.000218776,0.000223872,0.000229087,0.000234423,0.000239883,0.000245471,0.000251189,0.00025704,0.000263027,0.000269153,0.000275423,0.000281838,0.000288403,0.000295121,0.000301995,0.00030903,0.000316228,0.000323594,0.000331131,0.000338844,0.000346737,0.000354813,0.000363078,0.000371535,0.000380189,0.000389045,0.000398107,0.00040738,0.000416869,0.00042658,0.000436516,0.000446684,0.000457088,0.000467735,0.00047863,0.000489779,0.000501187,0.000512861,0.000524807,0.000537032,0.000549541,0.000562341,0.00057544,0.000588844,0.00060256,0.000616595,0.000630957,0.000645654,0.000660693,0.000676083,0.000691831,0.000707946,0.000724436,0.00074131,0.000758578,0.000776247,0.000794328,0.000812831,0.000831764,0.000851138,0.000870964,0.000891251,0.000912011,0.000933254,0.000954993,0.000977237,0.001,0.00102329,0.00104713,0.00107152,0.00109648,0.00112202,0.00114815,0.0011749,0.00120226,0.00123027,0.00125893,0.00128825,0.00131826,0.00134896,0.00138038,0.00141254,0.00144544,0.00147911,0.00151356,0.00154882,0.00158489,0.00162181,0.00165959,0.00169824,0.0017378,0.00177828,0.0018197,0.00186209,0.00190546,0.00194984,0.00199526,0.00204174,0.0020893,0.00213796,0.00218776,0.00223872,0.00229087,0.00234423,0.00239883,0.00245471,0.00251189,0.0025704,0.00263027,0.00269153,0.00275423,0.00281838,0.00288403,0.00295121,0.00301995,0.0030903,0.00316228,0.00323594,0.00331131,0.00338844,0.00346737,0.00354813,0.00363078,0.00371535,0.00380189,0.00389045,0.00398107,0.0040738,0.00416869,0.0042658,0.00436516,0.00446684,0.00457088,0.00467735,0.0047863,0.00489779,0.00501187,0.00512861,0.00524807,0.00537032,0.00549541,0.00562341,0.0057544,0.00588844,0.0060256,0.00616595,0.00630957,0.00645654,0.00660693,0.00676083,0.00691831,0.00707946,0.00724436,0.0074131,0.00758578,0.00776247,0.00794328,0.00812831,0.00831764,0.00851138,0.00870964,0.00891251,0.00912011,0.00933254,0.00954993,0.00977237,0.01,0.0102329,0.0104713,0.0107152,0.0109648,0.0112202,0.0114815,0.011749,0.0120226,0.0123027,0.0125893,0.0128825,0.0131826,0.0134896,0.0138038,0.0141254,0.0144544,0.0147911,0.0151356,0.0154882,0.0158489,0.0162181,0.0165959,0.0169824,0.017378,0.0177828,0.018197,0.0186209,0.0190546,0.0194984,0.0199526,0.0204174,0.020893,0.0213796,0.0218776,0.0223872,0.0229087,0.0234423,0.0239883,0.0245471,0.0251189,0.025704,0.0263027,0.0269153,0.0275423,0.0281838,0.0288403,0.0295121,0.0301995,0.030903,0.0316228,0.0323594,0.0331131,0.0338844,0.0346737,0.0354813,0.0363078,0.0371535,0.0380189,0.0389045,0.0398107,0.040738,0.0416869,0.042658,0.0436516,0.0446684,0.0457088,0.0467735,0.047863,0.0489779,0.0501187,0.0512861,0.0524807,0.0537032,0.0549541,0.0562341,0.057544,0.0588844,0.060256,0.0616595,0.0630957,0.0645654,0.0660693,0.0676083,0.0691831,0.0707946,0.0724436,0.074131,0.0758578,0.0776247,0.0794328,0.0812831,0.0831764,0.0851138,0.0870964,0.0891251,0.0912011,0.0933254,0.0954993,0.0977237,0.1,0.102329,0.104713,0.107152,0.109648,0.112202,0.114815,0.11749,0.120226,0.123027,0.125893,0.128825,0.131826,0.134896,0.138038,0.141254,0.144544,0.147911,0.151356,0.154882,0.158489,0.162181,0.165959,0.169824,0.17378,0.177828,0.18197,0.186209,0.190546,0.194984,0.199526,0.204174,0.20893,0.213796,0.218776,0.223872,0.229087,0.234423,0.239883,0.245471,0.251189,0.25704,0.263027,0.269153,0.275423,0.281838,0.288403,0.295121,0.301995,0.30903,0.316228,0.323594,0.331131,0.338844,0.346737,0.354813,0.363078,0.371535,0.380189,0.389045,0.398107,0.40738,0.416869,0.42658,0.436516,0.446684,0.457088,0.467735,0.47863,0.489779,0.501187,0.512861,0.524807,0.537032,0.549541,0.562341,0.57544,0.588844,0.60256,0.616595,0.630957,0.645654,0.660693,0.676083,0.691831,0.707946,0.724436,0.74131,0.758578,0.776247,0.794328,0.812831,0.831764,0.851138,0.870964,0.891251,0.912011,0.933254,0.954993,0.977237,1,1.02329,1.04713,1.07152,1.09648,1.12202,1.14815,1.1749,1.20226,1.23027,1.25893,1.28825,1.31826,1.34896,1.38038,1.41254,1.44544,1.47911,1.51356,1.54882,1.58489,1.62181,1.65959,1.69824,1.7378,1.77828,1.8197,1.86209,1.90546,1.94984,1.99526,2.04174,2.0893,2.13796,2.18776,2.23872,2.29087,2.34423,2.39883,2.45471,2.51189,2.5704,2.63027,2.69153,2.75423,2.81838,2.88403,2.95121,3.01995,3.0903};
86 1e-07,1.02329e-07,1.04713e-07,1.07152e-07,1.09 << 86 static G4double dangle[DIM]={2.329e-09,2.384e-09,2.439e-09,2.496e-09,2.554e-09,2.613e-09,2.675e-09,2.736e-09,2.801e-09,2.866e-09,2.932e-09,3.001e-09,3.07e-09,3.142e-09,3.216e-09,3.29e-09,3.367e-09,3.445e-09,3.526e-09,3.607e-09,3.692e-09,3.778e-09,3.865e-09,3.956e-09,4.048e-09,4.142e-09,4.239e-09,4.337e-09,4.438e-09,4.542e-09,4.648e-09,4.756e-09,4.866e-09,4.98e-09,5.096e-09,5.215e-09,5.336e-09,5.46e-09,5.588e-09,5.718e-09,5.851e-09,5.987e-09,6.126e-09,6.27e-09,6.415e-09,6.565e-09,6.718e-09,6.874e-09,7.035e-09,7.198e-09,7.366e-09,7.537e-09,7.713e-09,7.893e-09,8.076e-09,8.265e-09,8.457e-09,8.654e-09,8.856e-09,9.062e-09,9.273e-09,9.489e-09,9.711e-09,9.936e-09,1.0168e-08,1.0404e-08,1.0647e-08,1.0895e-08,1.1149e-08,1.1408e-08,1.1674e-08,1.1946e-08,1.2225e-08,1.2509e-08,1.28e-08,1.3099e-08,1.3404e-08,1.3716e-08,1.4035e-08,1.4362e-08,1.4697e-08,1.5039e-08,1.539e-08,1.5748e-08,1.6115e-08,1.649e-08,1.6874e-08,1.7268e-08,1.7669e-08,1.8081e-08,1.8503e-08,1.8933e-08,1.9374e-08,1.9826e-08,2.0287e-08,2.076e-08,2.1243e-08,2.1739e-08,2.2244e-08,2.2763e-08,2.329e-08,2.384e-08,2.439e-08,2.496e-08,2.554e-08,2.613e-08,2.675e-08,2.736e-08,2.801e-08,2.866e-08,2.932e-08,3.001e-08,3.07e-08,3.142e-08,3.216e-08,3.29e-08,3.367e-08,3.445e-08,3.526e-08,3.607e-08,3.692e-08,3.778e-08,3.865e-08,3.956e-08,4.048e-08,4.142e-08,4.239e-08,4.337e-08,4.438e-08,4.542e-08,4.648e-08,4.756e-08,4.866e-08,4.98e-08,5.096e-08,5.215e-08,5.336e-08,5.46e-08,5.588e-08,5.718e-08,5.851e-08,5.987e-08,6.126e-08,6.27e-08,6.415e-08,6.565e-08,6.718e-08,6.874e-08,7.035e-08,7.198e-08,7.366e-08,7.537e-08,7.713e-08,7.893e-08,8.076e-08,8.265e-08,8.457e-08,8.654e-08,8.856e-08,9.062e-08,9.273e-08,9.489e-08,9.711e-08,9.936e-08,1.0168e-07,1.0404e-07,1.0647e-07,1.0895e-07,1.1149e-07,1.1408e-07,1.1674e-07,1.1946e-07,1.2225e-07,1.2509e-07,1.28e-07,1.3099e-07,1.3404e-07,1.3716e-07,1.4035e-07,1.4362e-07,1.4697e-07,1.5039e-07,1.539e-07,1.5748e-07,1.6115e-07,1.649e-07,1.6874e-07,1.7268e-07,1.7669e-07,1.8081e-07,1.8503e-07,1.8933e-07,1.9374e-07,1.9826e-07,2.0287e-07,2.076e-07,2.1243e-07,2.1739e-07,2.2244e-07,2.2763e-07,2.329e-07,2.384e-07,2.439e-07,2.496e-07,2.554e-07,2.613e-07,2.675e-07,2.736e-07,2.801e-07,2.866e-07,2.932e-07,3.001e-07,3.07e-07,3.142e-07,3.216e-07,3.29e-07,3.367e-07,3.445e-07,3.526e-07,3.607e-07,3.692e-07,3.778e-07,3.865e-07,3.956e-07,4.048e-07,4.142e-07,4.239e-07,4.337e-07,4.438e-07,4.542e-07,4.648e-07,4.756e-07,4.866e-07,4.98e-07,5.096e-07,5.215e-07,5.336e-07,5.46e-07,5.588e-07,5.718e-07,5.851e-07,5.987e-07,6.126e-07,6.27e-07,6.415e-07,6.565e-07,6.718e-07,6.874e-07,7.035e-07,7.198e-07,7.366e-07,7.537e-07,7.713e-07,7.893e-07,8.076e-07,8.265e-07,8.457e-07,8.654e-07,8.856e-07,9.062e-07,9.273e-07,9.489e-07,9.711e-07,9.936e-07,1.0168e-06,1.0404e-06,1.0647e-06,1.0895e-06,1.1149e-06,1.1408e-06,1.1674e-06,1.1946e-06,1.2225e-06,1.2509e-06,1.28e-06,1.3099e-06,1.3404e-06,1.3716e-06,1.4035e-06,1.4362e-06,1.4697e-06,1.5039e-06,1.539e-06,1.5748e-06,1.6115e-06,1.649e-06,1.6874e-06,1.7268e-06,1.7669e-06,1.8081e-06,1.8503e-06,1.8933e-06,1.9374e-06,1.9826e-06,2.0287e-06,2.076e-06,2.1243e-06,2.1739e-06,2.2244e-06,2.2763e-06,2.329e-06,2.384e-06,2.439e-06,2.496e-06,2.554e-06,2.613e-06,2.675e-06,2.736e-06,2.801e-06,2.866e-06,2.932e-06,3.001e-06,3.07e-06,3.142e-06,3.216e-06,3.29e-06,3.367e-06,3.445e-06,3.526e-06,3.607e-06,3.692e-06,3.778e-06,3.865e-06,3.956e-06,4.048e-06,4.142e-06,4.239e-06,4.337e-06,4.438e-06,4.542e-06,4.648e-06,4.756e-06,4.866e-06,4.98e-06,5.096e-06,5.215e-06,5.336e-06,5.46e-06,5.588e-06,5.718e-06,5.851e-06,5.987e-06,6.126e-06,6.27e-06,6.415e-06,6.565e-06,6.718e-06,6.874e-06,7.035e-06,7.198e-06,7.366e-06,7.537e-06,7.713e-06,7.893e-06,8.076e-06,8.265e-06,8.457e-06,8.654e-06,8.856e-06,9.062e-06,9.273e-06,9.489e-06,9.711e-06,9.936e-06,1.0168e-05,1.0404e-05,1.0647e-05,1.0895e-05,1.1149e-05,1.1408e-05,1.1674e-05,1.1946e-05,1.2225e-05,1.2509e-05,1.28e-05,1.3099e-05,1.3404e-05,1.3716e-05,1.4035e-05,1.4362e-05,1.4697e-05,1.5039e-05,1.539e-05,1.5748e-05,1.6115e-05,1.649e-05,1.6874e-05,1.7268e-05,1.7669e-05,1.8081e-05,1.8503e-05,1.8933e-05,1.9374e-05,1.9826e-05,2.0287e-05,2.076e-05,2.1243e-05,2.1739e-05,2.2244e-05,2.2763e-05,2.329e-05,2.384e-05,2.439e-05,2.496e-05,2.554e-05,2.613e-05,2.675e-05,2.736e-05,2.801e-05,2.866e-05,2.932e-05,3.001e-05,3.07e-05,3.142e-05,3.216e-05,3.29e-05,3.367e-05,3.445e-05,3.526e-05,3.607e-05,3.692e-05,3.778e-05,3.865e-05,3.956e-05,4.048e-05,4.142e-05,4.239e-05,4.337e-05,4.438e-05,4.542e-05,4.648e-05,4.756e-05,4.866e-05,4.98e-05,5.096e-05,5.215e-05,5.336e-05,5.46e-05,5.588e-05,5.718e-05,5.851e-05,5.987e-05,6.126e-05,6.27e-05,6.415e-05,6.565e-05,6.718e-05,6.874e-05,7.035e-05,7.198e-05,7.366e-05,7.537e-05,7.713e-05,7.893e-05,8.076e-05,8.265e-05,8.457e-05,8.654e-05,8.856e-05,9.062e-05,9.273e-05,9.489e-05,9.711e-05,9.936e-05,0.00010168,0.00010404,0.00010647,0.00010895,0.00011149,0.00011408,0.00011674,0.00011946,0.00012225,0.00012509,0.000128,0.00013099,0.00013404,0.00013716,0.00014035,0.00014362,0.00014697,0.00015039,0.0001539,0.00015748,0.00016115,0.0001649,0.00016874,0.00017268,0.00017669,0.00018081,0.00018503,0.00018933,0.00019374,0.00019826,0.00020287,0.0002076,0.00021243,0.00021739,0.00022244,0.00022763,0.0002329,0.0002384,0.0002439,0.0002496,0.0002554,0.0002613,0.0002675,0.0002736,0.0002801,0.0002866,0.0002932,0.0003001,0.000307,0.0003142,0.0003216,0.000329,0.0003367,0.0003445,0.0003526,0.0003607,0.0003692,0.0003778,0.0003865,0.0003956,0.0004048,0.0004142,0.0004239,0.0004337,0.0004438,0.0004542,0.0004648,0.0004756,0.0004866,0.000498,0.0005096,0.0005215,0.0005336,0.000546,0.0005588,0.0005718,0.0005851,0.0005987,0.0006126,0.000627,0.0006415,0.0006565,0.0006718,0.0006874,0.0007035,0.0007198,0.0007366,0.0007537,0.0007713,0.0007893,0.0008076,0.0008265,0.0008457,0.0008654,0.0008856,0.0009062,0.0009273,0.0009489,0.0009711,0.0009936,0.0010168,0.0010404,0.0010647,0.0010895,0.0011149,0.0011408,0.0011674,0.0011946,0.0012225,0.0012509,0.00128,0.0013099,0.0013404,0.0013716,0.0014035,0.0014362,0.0014697,0.0015039,0.001539,0.0015748,0.0016115,0.001649,0.0016874,0.0017268,0.0017669,0.0018081,0.0018503,0.0018933,0.0019374,0.0019826,0.0020287,0.002076,0.0021243,0.0021739,0.0022244,0.0022763,0.002329,0.002384,0.002439,0.002496,0.002554,0.002613,0.002675,0.002736,0.002801,0.002866,0.002932,0.003001,0.00307,0.003142,0.003216,0.00329,0.003367,0.003445,0.003526,0.003607,0.003692,0.003778,0.003865,0.003956,0.004048,0.004142,0.004239,0.004337,0.004438,0.004542,0.004648,0.004756,0.004866,0.00498,0.005096,0.005215,0.005336,0.00546,0.005588,0.005718,0.005851,0.005987,0.006126,0.00627,0.006415,0.006565,0.006718,0.006874,0.007035,0.007198,0.007366,0.007537,0.007713,0.007893,0.008076,0.008265,0.008457,0.008654,0.008856,0.009062,0.009273,0.009489,0.009711,0.009936,0.010168,0.010404,0.010647,0.010895,0.011149,0.011408,0.011674,0.011946,0.012225,0.012509,0.0128,0.013099,0.013404,0.013716,0.014035,0.014362,0.014697,0.015039,0.01539,0.015748,0.016115,0.01649,0.016874,0.017268,0.017669,0.018081,0.018503,0.018933,0.019374,0.019826,0.020287,0.02076,0.021243,0.021739,0.022244,0.022763,0.02329,0.02384,0.02439,0.02496,0.02554,0.02613,0.02675,0.02736,0.02801,0.02866,0.02932,0.03001,0.0307,0.03142,0.03216,0.0329,0.03367,0.03445,0.03526,0.03607,0.03692,0.03778,0.03865,0.03956,0.04048,0.04142,0.04239,0.04337,0.04438,0.04542,0.04648,0.04756,0.04866,0.0498,0.05096,0.05215,0.05336,0.0546,0.05588,0.05718,0.05851,0.05987,0.06126,0.0627,0.06415,0.06565,0.06718,0.06874,0.07035,0.051293};
>> 87 static G4double tet[DIM]={1.01165e-07,1.03521e-07,1.05933e-07,1.084e-07,1.10925e-07,1.13509e-07,1.16153e-07,1.18858e-07,1.21627e-07,1.2446e-07,1.27359e-07,1.30326e-07,1.33361e-07,1.36467e-07,1.39646e-07,1.42899e-07,1.46227e-07,1.49633e-07,1.53119e-07,1.56685e-07,1.60335e-07,1.6407e-07,1.67891e-07,1.71802e-07,1.75804e-07,1.79899e-07,1.84089e-07,1.88377e-07,1.92765e-07,1.97255e-07,2.0185e-07,2.06552e-07,2.11363e-07,2.16286e-07,2.21324e-07,2.26479e-07,2.31755e-07,2.37153e-07,2.42677e-07,2.4833e-07,2.54115e-07,2.60034e-07,2.6609e-07,2.72288e-07,2.7863e-07,2.8512e-07,2.91762e-07,2.98558e-07,3.05513e-07,3.12629e-07,3.19911e-07,3.27363e-07,3.34987e-07,3.4279e-07,3.50775e-07,3.58946e-07,3.67307e-07,3.75862e-07,3.84617e-07,3.93576e-07,4.02744e-07,4.12124e-07,4.21725e-07,4.31548e-07,4.416e-07,4.51886e-07,4.62412e-07,4.73183e-07,4.84204e-07,4.95483e-07,5.07024e-07,5.18834e-07,5.3092e-07,5.43286e-07,5.55941e-07,5.68891e-07,5.82142e-07,5.95702e-07,6.09577e-07,6.23776e-07,6.38305e-07,6.53173e-07,6.68388e-07,6.83957e-07,6.99889e-07,7.16191e-07,7.32873e-07,7.49944e-07,7.67412e-07,7.85287e-07,8.03579e-07,8.22297e-07,8.41451e-07,8.61051e-07,8.81108e-07,9.01631e-07,9.22633e-07,9.44124e-07,9.66115e-07,9.88618e-07,1.01164e-06,1.03521e-06,1.05933e-06,1.084e-06,1.10925e-06,1.13508e-06,1.16152e-06,1.18858e-06,1.21626e-06,1.2446e-06,1.27359e-06,1.30325e-06,1.33361e-06,1.36467e-06,1.39646e-06,1.42899e-06,1.46227e-06,1.49633e-06,1.53119e-06,1.56686e-06,1.60335e-06,1.6407e-06,1.67891e-06,1.71802e-06,1.75804e-06,1.79899e-06,1.8409e-06,1.88378e-06,1.92765e-06,1.97255e-06,2.0185e-06,2.06552e-06,2.11363e-06,2.16286e-06,2.21324e-06,2.26479e-06,2.31755e-06,2.37153e-06,2.42677e-06,2.4833e-06,2.54114e-06,2.60034e-06,2.6609e-06,2.72288e-06,2.7863e-06,2.8512e-06,2.91762e-06,2.98558e-06,3.05512e-06,3.12629e-06,3.19911e-06,3.27362e-06,3.34987e-06,3.42791e-06,3.50775e-06,3.58945e-06,3.67306e-06,3.75862e-06,3.84617e-06,3.93576e-06,4.02744e-06,4.12125e-06,4.21724e-06,4.31548e-06,4.416e-06,4.51886e-06,4.62411e-06,4.73183e-06,4.84205e-06,4.95483e-06,5.07024e-06,5.18834e-06,5.30919e-06,5.43286e-06,5.55941e-06,5.68891e-06,5.82142e-06,5.95702e-06,6.09578e-06,6.23776e-06,6.38306e-06,6.53173e-06,6.68388e-06,6.83957e-06,6.99889e-06,7.16191e-06,7.32873e-06,7.49944e-06,7.67412e-06,7.85287e-06,8.03579e-06,8.22298e-06,8.41451e-06,8.61051e-06,8.81107e-06,9.01631e-06,9.22633e-06,9.44123e-06,9.66115e-06,9.88618e-06,1.01165e-05,1.03521e-05,1.05932e-05,1.084e-05,1.10925e-05,1.13508e-05,1.16153e-05,1.18858e-05,1.21627e-05,1.2446e-05,1.27359e-05,1.30326e-05,1.33361e-05,1.36467e-05,1.39646e-05,1.42899e-05,1.46227e-05,1.49633e-05,1.53119e-05,1.56685e-05,1.60335e-05,1.6407e-05,1.67892e-05,1.71802e-05,1.75804e-05,1.79899e-05,1.84089e-05,1.88378e-05,1.92765e-05,1.97255e-05,2.0185e-05,2.06552e-05,2.11363e-05,2.16286e-05,2.21324e-05,2.2648e-05,2.31755e-05,2.37153e-05,2.42677e-05,2.4833e-05,2.54115e-05,2.60033e-05,2.6609e-05,2.72288e-05,2.7863e-05,2.8512e-05,2.91762e-05,2.98558e-05,3.05513e-05,3.12629e-05,3.19911e-05,3.27362e-05,3.34987e-05,3.4279e-05,3.50775e-05,3.58946e-05,3.67307e-05,3.75862e-05,3.84617e-05,3.93576e-05,4.02743e-05,4.12125e-05,4.21724e-05,4.31548e-05,4.416e-05,4.51886e-05,4.62412e-05,4.73183e-05,4.84204e-05,4.95483e-05,5.07024e-05,5.18834e-05,5.30919e-05,5.43287e-05,5.55941e-05,5.68891e-05,5.82142e-05,5.95702e-05,6.09577e-05,6.23776e-05,6.38306e-05,6.53173e-05,6.68388e-05,6.83957e-05,6.99888e-05,7.16191e-05,7.32873e-05,7.49944e-05,7.67412e-05,7.85288e-05,8.0358e-05,8.22297e-05,8.41451e-05,8.61051e-05,8.81108e-05,9.01631e-05,9.22633e-05,9.44124e-05,9.66115e-05,9.88618e-05,0.000101165,0.000103521,0.000105932,0.0001084,0.000110925,0.000113508,0.000116153,0.000118858,0.000121626,0.00012446,0.000127359,0.000130325,0.000133361,0.000136467,0.000139646,0.000142899,0.000146228,0.000149633,0.000153119,0.000156686,0.000160335,0.00016407,0.000167891,0.000171802,0.000175804,0.000179899,0.000184089,0.000188377,0.000192765,0.000197255,0.00020185,0.000206552,0.000211363,0.000216286,0.000221324,0.000226479,0.000231755,0.000237153,0.000242677,0.00024833,0.000254115,0.000260033,0.00026609,0.000272288,0.000278631,0.00028512,0.000291762,0.000298558,0.000305513,0.000312629,0.000319911,0.000327363,0.000334987,0.00034279,0.000350775,0.000358946,0.000367307,0.000375862,0.000384617,0.000393576,0.000402743,0.000412124,0.000421725,0.000431548,0.0004416,0.000451886,0.000462411,0.000473183,0.000484204,0.000495483,0.000507024,0.000518834,0.000530919,0.000543286,0.000555941,0.000568891,0.000582142,0.000595702,0.000609577,0.000623776,0.000638305,0.000653173,0.000668388,0.000683957,0.000699889,0.000716191,0.000732873,0.000749944,0.000767413,0.000785287,0.000803579,0.000822297,0.000841451,0.000861051,0.000881108,0.000901631,0.000922633,0.000944124,0.000966115,0.000988618,0.00101165,0.00103521,0.00105933,0.001084,0.00110925,0.00113509,0.00116153,0.00118858,0.00121627,0.0012446,0.00127359,0.00130325,0.00133361,0.00136467,0.00139646,0.00142899,0.00146228,0.00149634,0.00153119,0.00156686,0.00160335,0.0016407,0.00167892,0.00171802,0.00175804,0.00179899,0.00184089,0.00188378,0.00192765,0.00197255,0.0020185,0.00206552,0.00211363,0.00216286,0.00221324,0.0022648,0.00231755,0.00237153,0.00242677,0.0024833,0.00254114,0.00260034,0.0026609,0.00272288,0.00278631,0.0028512,0.00291762,0.00298558,0.00305512,0.00312629,0.00319911,0.00327363,0.00334987,0.00342791,0.00350775,0.00358946,0.00367307,0.00375862,0.00384617,0.00393576,0.00402743,0.00412124,0.00421724,0.00431548,0.004416,0.00451886,0.00462411,0.00473183,0.00484204,0.00495483,0.00507024,0.00518834,0.00530919,0.00543287,0.00555941,0.0056889,0.00582142,0.00595702,0.00609577,0.00623776,0.00638306,0.00653174,0.00668388,0.00683957,0.00699888,0.00716191,0.00732873,0.00749944,0.00767413,0.00785288,0.0080358,0.00822298,0.00841451,0.00861051,0.00881107,0.00901631,0.00922633,0.00944123,0.00966115,0.00988619,0.0101164,0.0103521,0.0105932,0.01084,0.0110925,0.0113508,0.0116153,0.0118858,0.0121627,0.012446,0.0127359,0.0130326,0.0133361,0.0136467,0.0139646,0.0142899,0.0146228,0.0149634,0.0153119,0.0156685,0.0160335,0.016407,0.0167892,0.0171802,0.0175804,0.0179899,0.018409,0.0188378,0.0192765,0.0197255,0.020185,0.0206552,0.0211363,0.0216286,0.0221324,0.022648,0.0231755,0.0237153,0.0242677,0.024833,0.0254115,0.0260034,0.026609,0.0272288,0.0278631,0.028512,0.0291762,0.0298558,0.0305513,0.0312629,0.0319911,0.0327363,0.0334988,0.0342791,0.0350775,0.0358945,0.0367307,0.0375862,0.0384617,0.0393576,0.0402744,0.0412124,0.0421725,0.0431548,0.04416,0.0451886,0.0462412,0.0473183,0.0484205,0.0495483,0.0507024,0.0518834,0.0530919,0.0543286,0.0555941,0.056889,0.0582142,0.0595702,0.0609577,0.0623776,0.0638305,0.0653173,0.0668388,0.0683957,0.0699888,0.0716191,0.0732873,0.0749944,0.0767413,0.0785288,0.0803579,0.0822297,0.0841451,0.0861051,0.0881108,0.0901631,0.0922632,0.0944124,0.0966115,0.0988619,0.101165,0.103521,0.105932,0.1084,0.110925,0.113508,0.116152,0.118858,0.121626,0.12446,0.127359,0.130325,0.133361,0.136467,0.139646,0.142899,0.146228,0.149633,0.153119,0.156685,0.160335,0.16407,0.167891,0.171802,0.175804,0.179899,0.18409,0.188378,0.192765,0.197255,0.20185,0.206552,0.211363,0.216286,0.221324,0.22648,0.231755,0.237153,0.242677,0.24833,0.254115,0.260034,0.26609,0.272288,0.278631,0.28512,0.291762,0.298558,0.305513,0.312629,0.319911,0.327363,0.334987,0.34279,0.350775,0.358946,0.367306,0.375862,0.384617,0.393576,0.402744,0.412125,0.421725,0.431548,0.4416,0.451886,0.462411,0.473183,0.484205,0.495483,0.507024,0.518834,0.530919,0.543287,0.555941,0.56889,0.582142,0.595702,0.609577,0.623776,0.638305,0.653173,0.668388,0.683957,0.699888,0.716191,0.732873,0.749944,0.767413,0.785288,0.80358,0.822297,0.841451,0.861051,0.881107,0.901631,0.922632,0.944124,0.966115,0.988619,1.01165,1.03521,1.05932,1.084,1.10925,1.13509,1.16153,1.18858,1.21626,1.2446,1.27359,1.30326,1.33361,1.36467,1.39646,1.42899,1.46227,1.49633,1.53119,1.56685,1.60335,1.6407,1.67891,1.71802,1.75804,1.79899,1.8409,1.88377,1.92765,1.97255,2.0185,2.06552,2.11363,2.16286,2.21324,2.26479,2.31755,2.37153,2.42677,2.4833,2.54115,2.60033,2.6609,2.72288,2.78631,2.85121,2.91762,2.98558,3.05513,3.11595};
87 88
88 //using namespace std; << 89 using namespace std;
89 90
90 G4ScreeningMottCrossSection::G4ScreeningMottCr 91 G4ScreeningMottCrossSection::G4ScreeningMottCrossSection():
91 cosThetaMin(1.0), 92 cosThetaMin(1.0),
92 cosThetaMax(-1.0), 93 cosThetaMax(-1.0),
93 alpha(fine_structure_const), 94 alpha(fine_structure_const),
94 htc2(hbarc_squared), 95 htc2(hbarc_squared),
95 e2(electron_mass_c2*classic_electr_radius) 96 e2(electron_mass_c2*classic_electr_radius)
96 { 97 {
97 fTotalCross=0; 98 fTotalCross=0;
98 99
99 fNistManager = G4NistManager::Instance(); 100 fNistManager = G4NistManager::Instance();
100 fG4pow = G4Pow::GetInstance(); 101 fG4pow = G4Pow::GetInstance();
101 particle=nullptr; 102 particle=nullptr;
102 103
103 spin = mass = mu_rel = 0.0; << 104 spin = mass = mu_rel=0.0;
104 tkinLab = momLab2 = invbetaLab2 = 0.0; << 105 tkinLab = momLab2 = invbetaLab2=0.0;
105 tkin = mom2 = invbeta2 = beta = gamma = 0.0; << 106 tkin = mom2 = invbeta2=beta=gamma=0.0;
106 107
107 targetMass = As = etag = ecut = 0.0; << 108 Trec=targetZ = targetMass = As =0.0;
>> 109 etag = ecut = 0.0;
108 110
109 targetZ = targetA = 0; 111 targetZ = targetA = 0;
110 112
111 cosTetMinNuc = cosTetMaxNuc = 0.0; << 113 cosTetMinNuc=0;
>> 114 cosTetMaxNuc=0;
>> 115
>> 116 if(dangle[0] == 0.0) {
>> 117 for(G4int i=0; i<DIM; ++i){
>> 118 cross[i]=0;
>> 119 }
>> 120 }
112 } 121 }
113 122
114 //....Ooooo0ooooo........oooOO0OOooo........oo << 123 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
115 124
116 G4ScreeningMottCrossSection::~G4ScreeningMottC << 125 G4ScreeningMottCrossSection::~G4ScreeningMottCrossSection()
>> 126 {}
117 127
118 //....oooOO0OOooo........oooOO0OOooo........oo 128 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
119 129
120 void G4ScreeningMottCrossSection::Initialise(c 130 void G4ScreeningMottCrossSection::Initialise(const G4ParticleDefinition* p,
121 G << 131 G4double CosThetaLim)
122 { 132 {
123 SetupParticle(p); 133 SetupParticle(p);
124 tkin = mom2 = 0.0; 134 tkin = mom2 = 0.0;
125 ecut = etag = DBL_MAX; 135 ecut = etag = DBL_MAX;
126 particle = p; 136 particle = p;
127 cosThetaMin = cosThetaLim; << 137 cosThetaMin = CosThetaLim;
128 } 138 }
129 139
130 //....oooOO0OOooo........oooOO0OOooo........oo 140 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
131 141
132 void G4ScreeningMottCrossSection::SetupKinemat << 142 void G4ScreeningMottCrossSection::SetScreeningCoefficient()
>> 143 {
>> 144 G4double alpha2=alpha*alpha;
>> 145 //Bohr radius
>> 146 G4double a0= Bohr_radius ;//0.529e-8*cm;
>> 147 //Thomas-Fermi screening length
>> 148 G4double aU=0.88534*a0/fG4pow->Z13(targetZ);
>> 149 G4double twoR2=aU*aU;
>> 150
>> 151 G4double factor= 1.13 + 3.76*targetZ*targetZ*invbeta2*alpha2;
>> 152 As=0.25*(htc2)/(twoR2*mom2)*factor;
>> 153 }
>> 154
>> 155 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 156
>> 157 void G4ScreeningMottCrossSection::SetupKinematic(G4double ekin, G4double Z )
133 { 158 {
134 //...Target 159 //...Target
135 const G4int iz = std::min(92, Z); << 160 G4int iz = std::min(92, G4lrint(Z));
136 const G4int ia = G4lrint(fNistManager->GetAt << 161 G4double A = fNistManager->GetAtomicMassAmu(iz);
>> 162 G4int ia = G4lrint(A);
>> 163 G4double mass2 = G4NucleiProperties::GetNuclearMass(ia, iz);
137 164
138 targetZ = iz; 165 targetZ = iz;
139 targetA = ia; 166 targetA = ia;
140 targetMass = G4NucleiProperties::GetNuclearM << 167 targetMass= mass2;
141 168
142 //G4cout<<"......... targetA "<< targetA <<G 169 //G4cout<<"......... targetA "<< targetA <<G4endl;
143 //G4cout<<"......... targetMass "<< targetMa 170 //G4cout<<"......... targetMass "<< targetMass/MeV <<G4endl;
144 171
145 // incident particle lab 172 // incident particle lab
146 tkinLab = ekin; 173 tkinLab = ekin;
147 momLab2 = tkinLab*(tkinLab + 2.0*mass); 174 momLab2 = tkinLab*(tkinLab + 2.0*mass);
148 invbetaLab2 = 1.0 + mass*mass/momLab2; 175 invbetaLab2 = 1.0 + mass*mass/momLab2;
149 176
150 const G4double etot = tkinLab + mass; << 177 G4double etot = tkinLab + mass;
151 const G4double ptot = std::sqrt(momLab2); << 178 G4double ptot = sqrt(momLab2);
152 const G4double m12 = mass*mass; << 179 G4double m12 = mass*mass;
153 180
154 // relativistic reduced mass from publucatio 181 // relativistic reduced mass from publucation
155 // A.P. Martynenko, R.N. Faustov, Teoret. ma 182 // A.P. Martynenko, R.N. Faustov, Teoret. mat. Fiz. 64 (1985) 179
156 183
157 //incident particle & target nucleus 184 //incident particle & target nucleus
158 const G4double Ecm = std::sqrt(m12 + targetM << 185 G4double Ecm=sqrt(m12 + mass2*mass2 + 2.0*etot*mass2);
159 mu_rel = mass*targetMass/Ecm; << 186 mu_rel=mass*mass2/Ecm;
160 const G4double momCM= ptot*targetMass/Ecm; << 187 G4double momCM= ptot*mass2/Ecm;
161 // relative system 188 // relative system
162 mom2 = momCM*momCM; 189 mom2 = momCM*momCM;
163 const G4double x = mu_rel*mu_rel/mom2; << 190 G4double x = mu_rel*mu_rel/mom2;
164 invbeta2 = 1.0 + x; 191 invbeta2 = 1.0 + x;
165 tkin = momCM*std::sqrt(invbeta2) - mu_rel;// << 192 tkin = momCM*sqrt(invbeta2) - mu_rel;//Ekin of mu_rel
166 const G4double beta2 = 1./invbeta2; << 193 G4double beta2=1./invbeta2;
167 beta = std::sqrt(beta2) ; << 194 beta=std::sqrt(beta2) ;
168 const G4double gamma2= invbeta2/x; << 195 G4double gamma2= invbeta2/x;
169 gamma = std::sqrt(gamma2); << 196 gamma=std::sqrt(gamma2);
170 197
171 //Thomas-Fermi screening length << 198 //.........................................................
172 const G4double alpha2 = alpha*alpha; << 199
173 const G4double aU = 0.88534*CLHEP::Bohr_radi << 200 SetScreeningCoefficient();
174 const G4double twoR2 = aU*aU; <<
175 As = 0.25*htc2*(1.13 + 3.76*targetZ*targetZ* <<
176 201
177 //Integration Angles definition 202 //Integration Angles definition
178 cosTetMinNuc = cosThetaMin; << 203
179 cosTetMaxNuc = cosThetaMax; << 204 cosTetMinNuc =cosThetaMin;
>> 205 cosTetMaxNuc =cosThetaMax;
>> 206
>> 207 for(G4int i=0; i<DIM; ++i ){
>> 208 cross[i]=0;
>> 209 }
180 } 210 }
181 211
182 //....oooOO0OOooo........oooOO0OOooo........oo 212 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
183 213
184 G4double G4ScreeningMottCrossSection::FormFact << 214 G4double G4ScreeningMottCrossSection::FormFactor2ExpHof(G4double angles)
185 { 215 {
186 G4double M=targetMass; 216 G4double M=targetMass;
187 G4double E=tkinLab; 217 G4double E=tkinLab;
188 G4double Etot=E+mass; 218 G4double Etot=E+mass;
189 G4double Tmax=2.*M*E*(E+2.*mass)/(mass*mass+ 219 G4double Tmax=2.*M*E*(E+2.*mass)/(mass*mass+M*M+2.*M*Etot);
190 G4double T=Tmax*sin2t2; << 220 G4double T=Tmax*fG4pow->powN(sin(angles*0.5), 2);
191 G4double q2=T*(T+2.*M); 221 G4double q2=T*(T+2.*M);
192 q2/=htc2;//1/cm2 222 q2/=htc2;//1/cm2
193 G4double RN=1.27e-13*G4Exp(fG4pow->logZ(targ << 223 G4double RN=1.27e-13*G4Exp(fG4pow->logZ(targetA)*0.27)*cm;
194 G4double xN= (RN*RN*q2); 224 G4double xN= (RN*RN*q2);
195 G4double den=(1.+xN/12.); 225 G4double den=(1.+xN/12.);
196 G4double FN=1./(den*den); 226 G4double FN=1./(den*den);
197 G4double form2=(FN*FN); 227 G4double form2=(FN*FN);
198 228
199 return form2; 229 return form2;
200 } 230 }
201 231
202 //....oooOO0OOooo........oooOO0OOooo........oo 232 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
203 233
204 G4double G4ScreeningMottCrossSection::FormFact << 234 G4double G4ScreeningMottCrossSection::FormFactor2Gauss(G4double angles)
205 { 235 {
206 G4double M=targetMass; 236 G4double M=targetMass;
207 G4double E=tkinLab; 237 G4double E=tkinLab;
208 G4double Etot=E+mass; 238 G4double Etot=E+mass;
209 G4double Tmax=2.*M*E*(E+2.*mass)/(mass*mass+ 239 G4double Tmax=2.*M*E*(E+2.*mass)/(mass*mass+M*M+2.*M*Etot);
210 G4double T=Tmax*sin2t2; << 240 G4double T=Tmax*fG4pow->powN(sin(angles*0.5), 2);
211 G4double q2=T*(T+2.*M); 241 G4double q2=T*(T+2.*M);
212 q2/=htc2;//1/cm2 242 q2/=htc2;//1/cm2
213 G4double RN=1.27e-13*G4Exp(fG4pow->logZ(targ << 243 G4double RN=1.27e-13*G4Exp(fG4pow->logZ(targetA)*0.27)*cm;
214 G4double xN= (RN*RN*q2); 244 G4double xN= (RN*RN*q2);
215 245
216 G4double expo=(-xN/6.); 246 G4double expo=(-xN/6.);
217 G4double FN=G4Exp(expo); 247 G4double FN=G4Exp(expo);
218 248
219 G4double form2=(FN*FN); 249 G4double form2=(FN*FN);
220 250
221 return form2; 251 return form2;
222 } 252 }
223 253
224 //....oooOO0OOooo........oooOO0OOooo........oo 254 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
225 255
226 G4double G4ScreeningMottCrossSection::FormFact << 256 G4double G4ScreeningMottCrossSection::FormFactor2UniformHelm(G4double angles)
227 { 257 {
228 G4double M=targetMass; 258 G4double M=targetMass;
229 G4double E=tkinLab; 259 G4double E=tkinLab;
230 G4double Etot=E+mass; 260 G4double Etot=E+mass;
231 G4double Tmax=2.*M*E*(E+2.*mass)/(mass*mass+ 261 G4double Tmax=2.*M*E*(E+2.*mass)/(mass*mass+M*M+2.*M*Etot);
232 G4double T=Tmax*sin2t2; << 262 G4double T=Tmax*fG4pow->powN(sin(angles*0.5), 2);
233 G4double q2=T*(T+2.*M); 263 G4double q2=T*(T+2.*M);
234 q2=q2/(htc2*0.01);//1/cm2 264 q2=q2/(htc2*0.01);//1/cm2
235 265
236 G4double q=std::sqrt(q2); << 266 G4double q=G4Exp(G4Log(q2)*0.5);;
237 G4double R0=1.2E-13*fG4pow->Z13(targetA); 267 G4double R0=1.2E-13*fG4pow->Z13(targetA);
238 G4double R1=2.0E-13; 268 G4double R1=2.0E-13;
239 269
240 G4double x0=q*R0; 270 G4double x0=q*R0;
241 G4double F0=(3./fG4pow->powN(x0,3))*(std::si << 271 G4double F0=(3./fG4pow->powN(x0,3))*(sin(x0)-x0*cos(x0));
242 272
243 G4double x1=q*R1; 273 G4double x1=q*R1;
244 G4double F1=(3./fG4pow->powN(x1,3))*(std::si << 274 G4double F1=(3./fG4pow->powN(x1,3))*(sin(x1)-x1*cos(x1));
245 275
246 G4double F=F0*F1; 276 G4double F=F0*F1;
247 277
248 G4double form2=(F*F); 278 G4double form2=(F*F);
249 279
250 return form2; 280 return form2;
251 } 281 }
252 282
253 //....oooOO0OOooo........oooOO0OOooo........oo 283 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
254 284
255 G4double G4ScreeningMottCrossSection::McFcorre << 285 G4double G4ScreeningMottCrossSection::McFcorrection(G4double angles )
256 { 286 {
257 const G4double sint = std::sqrt(sin2t2); << 287 G4double beta2=1./invbeta2;
258 return 1.-beta*beta*sin2t2 + targetZ*alpha*b << 288 G4double sintmezzi=std::sin(angles/2.);
>> 289 G4double sin2tmezzi = sintmezzi*sintmezzi;
>> 290 G4double R=1.-beta2*sin2tmezzi + targetZ*alpha*beta*pi*sintmezzi*(1.-sintmezzi);
>> 291 return R;
259 } 292 }
260 293
261 //....oooOO0OOooo........oooOO0OOooo........oo 294 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
262 295
263 G4double G4ScreeningMottCrossSection::RatioMot 296 G4double G4ScreeningMottCrossSection::RatioMottRutherford(G4double angles)
264 { 297 {
265 return RatioMottRutherfordCosT(std::sqrt(1. << 298 return RatioMottRutherfordCosT(std::sqrt(1. -cos(angles)));
266 } 299 }
267 300
268 //....oooOO0OOooo........oooOO0OOooo........oo 301 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
269 302
270 G4double G4ScreeningMottCrossSection::RatioMot 303 G4double G4ScreeningMottCrossSection::RatioMottRutherfordCosT(G4double fcost)
271 { 304 {
272 G4double R(0.); 305 G4double R(0.);
273 const G4double shift = 0.7181228; << 306 static const G4double shift=0.7181228;
274 G4double beta0 = beta - shift; 307 G4double beta0 = beta - shift;
275 308
276 G4double b0 = 1.0; 309 G4double b0 = 1.0;
277 G4double b[6]; 310 G4double b[6];
278 for(G4int i=0; i<6; ++i) { 311 for(G4int i=0; i<6; ++i) {
279 b[i] = b0; 312 b[i] = b0;
280 b0 *= beta0; 313 b0 *= beta0;
281 } 314 }
282 315
283 b0 = 1.0; 316 b0 = 1.0;
284 for(G4int j=0; j<=4; ++j) { 317 for(G4int j=0; j<=4; ++j) {
285 G4double a = 0.0; 318 G4double a = 0.0;
286 for(G4int k=0; k<=5; ++k){ 319 for(G4int k=0; k<=5; ++k){
287 a += fMottCoef[targetZ][j][k]*b[k]; 320 a += fMottCoef[targetZ][j][k]*b[k];
288 } 321 }
289 R += a*b0; 322 R += a*b0;
290 b0 *= fcost; 323 b0 *= fcost;
291 } 324 }
292 return R; 325 return R;
293 } 326 }
294 327
295 //....oooOO0OOooo........oooOO0OOooo........oo 328 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
296 329
297 G4double G4ScreeningMottCrossSection::GetTrans 330 G4double G4ScreeningMottCrossSection::GetTransitionRandom()
298 { 331 {
299 G4double x = G4Log(tkinLab)*invlog10; 332 G4double x = G4Log(tkinLab)*invlog10;
300 G4double res(0.), x0(1.0); 333 G4double res(0.), x0(1.0);
301 for(G4int i=0; i<11; ++i) { 334 for(G4int i=0; i<11; ++i) {
302 res += fPRM[targetZ][i]*x0; 335 res += fPRM[targetZ][i]*x0;
303 x0 *= x; 336 x0 *= x;
304 } 337 }
305 //G4cout << "Z= " << targetZ << " x0= " << x 338 //G4cout << "Z= " << targetZ << " x0= " << x0 << " res= " << res << G4endl;
306 return res; 339 return res;
307 } 340 }
308 341
309 //....oooOO0OOooo........oooOO0OOooo........oo 342 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
310 343
311 G4double << 344 G4double G4ScreeningMottCrossSection::SetDifferentialXSection(
312 G4ScreeningMottCrossSection::DifferentialXSect << 345 G4double angles, G4double step, G4int form)
313 { 346 {
314 const G4double ang = angle[idx]; << 347 G4double Xsec=0;
315 const G4double z1 = 1.0 - std::cos(ang); << 348 G4double R=0;
316 G4double step; << 349 G4double F2=0;
317 if(0 == idx) { << 350
318 step = 0.5*(angle[1] + angle[0]); << 351 if(form==0){F2=1;}
319 } else if(DIMMOTT == idx + 1) { << 352 if(form==1){F2=FormFactor2ExpHof(angles);}
320 step = CLHEP::pi - 0.5*(angle[DIMMOTT-2] + << 353 if(form==2){F2=FormFactor2Gauss(angles);}
321 } else { << 354 if(form==3){F2=FormFactor2UniformHelm(angles);}
322 step = 0.5*(angle[idx+1] - angle[idx-1]); << 355
323 } << 356 // if (coeffb[0][0]!=0){
>> 357 //G4cout<<" Mott....targetZ "<< targetZ<<G4endl;
>> 358 R=RatioMottRutherford(angles);
>> 359 //} else if (coeffb[0][0]==0){
>> 360 //G4cout<<" McF.... targetZ "<< targetZ<<G4endl;
>> 361 // R=McFcorrection(angles);
>> 362 //}
>> 363
>> 364 G4double den=2.*As+2.*fG4pow->powN(sin(angles*0.5),2);
>> 365 G4double func=1./(den*den);
>> 366
>> 367 G4double fatt= (G4double)targetZ/(mu_rel*gamma*beta*beta);
>> 368 G4double sigma=e2*e2*fatt*fatt*func;
>> 369 G4double pi2sintet=twopi*sin(angles);
324 370
325 G4double F2 = 1.; << 371 Xsec=std::max(pi2sintet*F2*R*sigma*step, 0.);
326 switch (form) { <<
327 case 1: <<
328 F2 = FormFactor2ExpHof(z1*0.5); <<
329 break; <<
330 case 2: <<
331 F2 = FormFactor2Gauss(z1*0.5); <<
332 break; <<
333 case 3: <<
334 F2 = FormFactor2UniformHelm(z1*0.5); <<
335 break; <<
336 } <<
337 <<
338 const G4double R = RatioMottRutherfordCosT(s <<
339 <<
340 G4double den = 2.*As + z1; <<
341 G4double func = 1./(den*den); <<
342 <<
343 G4double fatt = (G4double)targetZ/(mu_rel*ga <<
344 G4double sigma= e2*e2*fatt*fatt*func; <<
345 G4double pi2sintet = CLHEP::twopi*std::sqrt( <<
346 <<
347 G4double Xsec = std::max(pi2sintet*F2*R*sigm <<
348 return Xsec; 372 return Xsec;
349 } 373 }
350 374
351 //....oooOO0OOooo........oooOO0OOooo........oo 375 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
352 376
353 G4double << 377 G4double G4ScreeningMottCrossSection::NuclearCrossSection(G4int form, G4int FastComputation)
354 G4ScreeningMottCrossSection::NuclearCrossSecti <<
355 { 378 {
356 fTotalCross=0.; 379 fTotalCross=0.;
357 if(cosTetMaxNuc >= cosTetMinNuc) return fTot 380 if(cosTetMaxNuc >= cosTetMinNuc) return fTotalCross;
358 if(0 == cross.size()) { cross.resize(DIMMOTT <<
359 381
360 //G4cout<<"MODEL: "<<fast<<G4endl; << 382 //G4cout<<"MODEL: "<<FastComputation<<G4endl;
361 //************ PRECISE COMPUTATION 383 //************ PRECISE COMPUTATION
362 if(fast == 0){ << 384 if(FastComputation==0){
363 385
364 for(G4int i=0; i<DIMMOTT; ++i){ << 386 for(G4int i=0; i<DIM; ++i){
365 G4double y = DifferentialXSection(i, for << 387 cross[i]=SetDifferentialXSection(tet[i],dangle[i],form);
366 fTotalCross += y; << 388 //G4cout<<i<<" Angle: "<<angle[i]<<" tet: "<<tet[i]<<" Cross: "<<cross[i]<G4endl;
367 cross[i] = fTotalCross; << 389 fTotalCross+=cross[i];
368 if(fTotalCross*1.e-9 > y) { <<
369 for(G4int j=i+1; j<DIMMOTT; ++j) { <<
370 cross[j] = fTotalCross; <<
371 } <<
372 break; <<
373 } <<
374 } 390 }
375 //**************** FAST COMPUTATION << 391 //**************** FAST COMPUTATION
376 } else if(fast == 1) { << 392 }else if(FastComputation==1){
377 393
378 G4double p0 = electron_mass_c2*classic_ele 394 G4double p0 = electron_mass_c2*classic_electr_radius;
379 G4double coeff = twopi*p0*p0; 395 G4double coeff = twopi*p0*p0;
380 396
381 G4double fac = coeff*targetZ*targetZ*invbe 397 G4double fac = coeff*targetZ*targetZ*invbeta2/mom2;
382 398
383 G4double x = 1.0 - cosTetMinNuc; 399 G4double x = 1.0 - cosTetMinNuc;
384 G4double x1 = x + 2*As; 400 G4double x1 = x + 2*As;
385 401
386 // scattering with nucleus << 402 // scattering with nucleus
387 fTotalCross = fac*(cosTetMinNuc - cosTetMa 403 fTotalCross = fac*(cosTetMinNuc - cosTetMaxNuc)/
388 (x1*(1.0 - cosTetMaxNuc + 2*As)); 404 (x1*(1.0 - cosTetMaxNuc + 2*As));
389 } 405 }
390 /* << 406
391 G4cout << "Energy(MeV): " << tkinLab/CLHEP:: << 407 // G4cout<<"Energy: "<<tkinLab/MeV<<" Total Cross: "<<fTotalCross<<G4endl;
392 << " Total Cross(mb): " << fTotalCros <<
393 << " form= " << form << " fast= " << <<
394 */ <<
395 return fTotalCross; 408 return fTotalCross;
396 } 409 }
397 410
398 //....oooOO0OOooo........oooOO0OOooo........oo 411 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
399 412
400 G4double << 413 G4double G4ScreeningMottCrossSection::GetScatteringAngle(G4int form, G4int FastComputation)
401 G4ScreeningMottCrossSection::GetScatteringAngl <<
402 { 414 {
403 G4double scattangle = 0.0; << 415
404 G4double r = G4UniformRand(); << 416 //***** FOR TESTING HIGH ANGLES
>> 417 //G4double r=3e-6*G4UniformRand();
>> 418 //G4double r=1e-12*G4UniformRand();
>> 419 G4double r=G4UniformRand();
>> 420
>> 421 G4double scattangle=0;
>> 422 G4double y=0;
>> 423 G4double step=0;
>> 424
405 //************ PRECISE COMPUTATION 425 //************ PRECISE COMPUTATION
406 if(fast == 0){ << 426 if(FastComputation==0){
407 //G4cout << "r= " << r << " tot= " << fTot << 427
408 r *= fTotalCross; << 428 for(G4int i=DIM-1; i>=0; --i){
409 for(G4int i=0; i<DIMMOTT; ++i){ << 429 step = cross[i]/fTotalCross;
410 //G4cout << i << ". r= " << r << " xs= " << 430 y+=step;
411 if(r <= cross[i]) { << 431 if(r >=y-step && r<y ){
412 scattangle = ComputeAngle(i, r); << 432 scattangle= angle[i] +G4UniformRand()*dangle[i];
413 break; << 433 break;
414 } 434 }
415 } 435 }
416 436
417 //**************** FAST COMPUTATION 437 //**************** FAST COMPUTATION
418 } else if(fast == 1) { << 438 }else if(FastComputation==1){
419 439
420 G4double limit = GetTransitionRandom(); << 440 G4double limit=GetTransitionRandom();
421 if(limit > 0.0) { << 441 G4double Sz=2*As;
422 G4double Sz = 2*As; << 442 //G4cout << "limit= " << limit << " Sz= " << Sz << G4endl;
423 G4double x = Sz-((Sz*(2+Sz))/(Sz+2*limit << 443 //G4cout << Sz-((Sz*(2+Sz))/(Sz+2*limit))+1 << G4endl;
424 //G4cout << "limit= " << limit << " Sz= << 444 G4double x = Sz-((Sz*(2+Sz))/(Sz+2*limit))+1.0;
425 G4double angle_limit = (std::abs(x) < 1. << 445 G4double angle_limit = (x < 1.0) ? std::acos(x) : 0.0;
426 //G4cout<<"ANGLE LIMIT: "<<angle_limit<< << 446 //G4cout<<"ANGLE LIMIT: "<<angle_limit<<G4endl;
427 << 447
428 if(r > limit && angle_limit != 0.0) { << 448 if(r>limit){
429 x = Sz-((Sz*(2+Sz))/(Sz+2*r))+1.0; << 449 x = Sz-((Sz*(2+Sz))/(Sz+2*r))+1.0;
430 scattangle = (x >= 1.0) ? 0.0 : ((x <= -1.0) << 450 scattangle = (x >= 1.0) ? 0.0 : ((x <= -1.0) ? pi : std::acos(x));
431 //G4cout<<"FAST: scattangle= "<< scattangle << 451 //G4cout<<"FAST: scattangle= "<< scattangle <<G4endl;
432 } << 452 }else{
433 } else { <<
434 //G4cout<<"SLOW: total= "<<fTotalCross<< 453 //G4cout<<"SLOW: total= "<<fTotalCross<< G4endl;
435 r *= fTotalCross; << 454 for(G4int i=DIM-1; i>=0; --i){
436 G4double tot = 0.0; << 455
437 for(G4int i=0; i<DIMMOTT; ++i) { << 456 cross[i]=SetDifferentialXSection(tet[i],dangle[i],form);
438 G4double xs = DifferentialXSection(i, form); << 457 step = cross[i]/fTotalCross;
439 tot += xs; << 458 y+=step;
440 cross[i] = tot; << 459 if(r >=y-step && r<y ){
441 if(r <= tot) { << 460 scattangle= angle[i] +G4UniformRand()*dangle[i];
442 scattangle = ComputeAngle(i, r); << 461 if(scattangle<angle_limit){scattangle=0;};
443 break; << 462 break;
444 } 463 }
445 } 464 }
446 } 465 }
447 } 466 }
448 //****************************************** 467 //************************************************
449 //G4cout<<"Energy(MeV): "<<tkinLab/MeV<<" SC << 468 //G4cout<<"Energy: "<<tkinLab/MeV<<" SCATTANGLE: "<<scattangle<<G4endl;
450 return scattangle; 469 return scattangle;
451 } <<
452 <<
453 G4double G4ScreeningMottCrossSection::ComputeA <<
454 { <<
455 G4double x1, x2, y; <<
456 if(0 == i) { <<
457 x1 = 0.0; <<
458 x2 = 0.5*(angle[0] + angle[1]); <<
459 y = cross[0]; <<
460 } else if(i == DIMMOTT-1) { <<
461 x1 = 0.5*(angle[i] + angle[i-1]); <<
462 x2 = CLHEP::pi; <<
463 y = cross[i] - cross[i-1]; <<
464 r -= cross[i-1]; <<
465 } else { <<
466 x1 = 0.5*(angle[i] + angle[i-1]); <<
467 x2 = 0.5*(angle[i] + angle[i+1]); <<
468 y = cross[i] - cross[i-1]; <<
469 r -= cross[i-1]; <<
470 } <<
471 //G4cout << i << ". r= " << r << " y= " << y <<
472 // << " x1= " << " x2= " << x2 << G4endl; <<
473 return x1 + (x2 - x1)*r/y; <<
474 } 470 }
475 471