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.
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Voroshilo, A., Roshchupkin, S. & Denisenko, O. Resonance of exchange amplitude of Compton effect in the circularly polarized laser field. Eur. Phys. J. D 41, 433–440 (2007). https://doi.org/10.1140/epjd/e2006-00230-0
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DOI: https://doi.org/10.1140/epjd/e2006-00230-0