Effects of the electron's anomaly in relativistic laser-assisted Mott scattering

We investigate the influence of the electron's anomalous magnetic moment on the process of relativistic Mott scattering in a powerful electromagnetic plane wave for which the ponderomotive energy is of the order of the magnitude of the electron's rest mass. For this purpose, we use the Coulomb - Dirac - Volkov and the Dirac - Volkov functions with the electron's anomaly to describe the initial and final states respectively. First- order Born differential cross-sections of induced and inverse bremsstrahlung are obtained for linearly polarized laser light. Numerical calculations are carried out for various parameters values (i.e. scattering angle, the nucleus charge, photon energy, electrical field) and are compared with results obtained by Li et al 2004 ( J. Phys. B: At. Mol. Opt. Phys. 37 653). It is found that for parameters used in the present work, incorporating the anomaly of the electron in the initial and final states yields cross-sections which are strongly modified whatever the scattering geometry as compared to the outcome of the previous treatment.