Coulomb and anomalous magnetic moment effects on laser-assisted electron scattering by atomic nucleus

Abstract

In the framework of the first Born approximation, we investigate, in the presence of a circularly polarized electromagnetic laser field, the double effect of Coulomb and anomalous magnetic moment (AMM) on the scattering of electron by a fixed atomic nucleus. In this approximation, the initial and final states of the electron are described by the relativistic Coulomb Dirac-Volkov wave functions with AMM effect. For convenience, we choose the origin of the Laboratory coordinate system at the centre of the fixed nucleus presenting a classical Coulomb potential. Both AMM and Coulomb effects on the incident and scattered electrons have affected the relativistic differential cross section. At high energies of the incident electron, our explored numerical results give the predominance of the AMM effect over that of Coulomb. The behavior of the differential cross section, as a function of the electric field strength as well as the laser frequency, is presented.