Compton scattering in external magnetic fields. II. Spin-1/2 charged particles

Abstract

As a continuation of our efforts to calculate the total Compton cross section (to order ${\alpha }^2$ in the presence of an arbitrary homogeneous magnetic field, we here report the result for the spin-1/2 case. The motion of the incident photon is restricted to lie along the direction of the field, but otherwise our result is quite general. Special limiting cases corresponding to classical and weak-field limits are discussed.