Eur. Phys. J. D 48, 451-458 (2008)
https://doi.org/10.1140/epjd/e2008-00093-3

Resonant scattering of an electron by a muon in the field of light wave

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

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

Received: 17 January 2008
Revised: 12 March 2008
Published online: 7 May 2008

Abstract

In the frame of the Born approximation we theoretically investigate resonant scattering of an electron by a muon in the field of elliptically polarized electromagnetic wave in the general relativistic case. It is studied kinematics of a scattering of an electron in resonant region. It is derived the expressions for the amplitude and the cross-section of the resonant scattering of an electron by a muon when the invariant intensity parameter of the laser field is small (η_e ≪1). It is demonstrated that the resonant cross-section of a scattering may be several orders of magnitude higher than the cross-section of a scattering in the absence of the external field.