Eur. Phys. J. D 41, 433-440 (2007)
https://doi.org/10.1140/epjd/e2006-00230-0

Resonance of exchange amplitude of Compton effect in the circularly polarized laser field

Institute of Applied Physics, National Academy of Sciences of Ukraine, Sumy, 40030, Ukraine

Corresponding author: ^a al-war@ukr.net

Received: 11 June 2006
Revised: 12 September 2006
Published online: 18 October 2006

Abstract

We present, for general relativistic case, a theoretical study of resonance of exchange amplitude when a photon is scattered by an electron in the field of a circularly polarized wave. Resonances are related to a virtual intermediate particle that falls within the mass shell. We find conditions when resonances occur in exchange amplitude. We derive the expressions for the resonant amplitudes and the differential cross-sections when the invariant intensity parameter of the laser field is small (η≪1) and the interference of direct and exchange amplitudes is absent. It is demonstrated that the resonant cross-section of scattering may be several orders of magnitude higher than the cross-section of Compton effect in the absence of the external field.