| |
 |
UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:46 |
 |
|
|
|
Conference: Bucharest University Faculty of Physics 2007 Meeting
Section: Theoretical Physics and Applied Mathematics Seminar
Title:
Rayleigh scattering amplitudes, photoeffect and pair production total cross-sections for K and 2s bound electrons, for photon energies above 1 MeV
Authors:
Prof. dr. A. Costescu, Prof. dr. S. Spanulescu, Lect. C. Stoica
Affiliation:
Department of Physics, University of Bucharest,
Department of Physics, Hyperion University of Bucharest
E-mail
Keywords:
Abstract:
Considering the contributions of the main term of the relativistic Coulombian Green function given by Hostler to the second order of the S-matrix element and taking into account only the large components of Dirac spinor of the K shell and 2s subshell, we have obtained the imaginary part of the Rayleigh amplitudes in terms of elementary functions. Thereby, simple and high accurate formulae for the total cross-sections for photoeffect and pair production with the electron created in the K shell and 2s subshell are obtained via the optical theorem. Comparing the predictions given by our formulae with the full relativistic numerical calculations of Kissel et al and Scofield, a good agreement is found if screening effects are taken into account, for photon energies both below and above the pair production threshold energy.
|
|
|
|