Abstract
The gain coefficient for a weak electromagnetic field in the scattering of electrons by ions in an elliptically polarized light wave is theoretically studied in the general relativistic case. A simple analytical expression for the field amplification constant in a logarithmic approach is obtained. It is shown that the gain coefficient for ultrarelativistic electron energies depends on the energy as a cubic power of energy and can be significantly large. This effect results in an increase of the gain coefficient up to quantities of order μ ∼ (1–10) cm−1 for electron energies Ei ∼ (10–20) GeV. The obtained results may be experimentally verified, for example, by the scientific facilities at the SLAC National Accelerator Laboratory and the Facility for Antiproton and Ion Research (FAIR; Darmstadt, Germany).
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