Resonances in Compton-Like scattering processes in an external magnetized medium

We consider the possible resonance effects in the tree-level two-vertex amplitudes for the transitions jf → j'f' in a constant uniform magnetic field and in the presence of a magnetized plasma consisting of charged fermions for various combinations of scalar, pseudo-scalar, vector, and axial-vector vertices. As an application of the results obtained, we have investigated the scattering of a photon by magnetized-plasma electrons, γe → γe, in the resonance region and calculated the photon absorption coefficient in this reaction. The cross section for this process has been calculated and compared with the available published results.