Polarization Dependence of the Bremsstrahlung Cross-Section in the Scattering of Electrons by Nuclei with Electromagnetic Multipole Moments

The present work deals with one of the most important problem in the quantum electrodynamics, 1.e the problem of bremsstrahlung process due to the interaction between lepton (electron) and the field of nuclei having electromagnetic multipole distributions. The detaild calculations for the cross-sections and the angular and energy distributions of the process are given in the first Born approximation of the quantum perturbation theory in two cases: With neglecting the polarizations of the photon and the electron, and with studying these polarizations. Applying the obtained formulae to some nuclei, the light nucleus (Be 9 4 ) and the heavier one (Al 27 13), to showing the effect of both circular photon polarization and longitudinal electron polarization on the bremsstahlung cross-section, and comparing the results obtained for the two nuclei graphically.