Resonant Breit–Wheeler process in a strong electromagnetic field

We theoretically study the Breit–Wheeler resonant process modified by a strong electromagnetic field represented as a plane monochromatic wave. The resonant kinematics of the process is studied in detail. It is shown that the energy of final particles (electron and positron) depends on two factors, the electron (positron) outgoing angle and the typical quantum parameters of the Compton effect and Breit–Wheeler process stimulated by the external field. The resonant differential cross section is obtained in the absence of the interference of reaction channels. It is shown that the resonant differential cross section can exceed the corresponding differential cross section of the Breit–Wheeler process in the absence of the external field by six orders of magnitude.