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 email@example.com
Revised: 12 September 2006
Published online: 18 October 2006
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.
PACS: 34.50.Rk – Laser-modified scattering and reactions / 12.20.-m – Quantum electrodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006