Relativistic elastic scattering of an electron by a muon in the field of
a circularly polarized electromagnetic wave
- URL: http://arxiv.org/abs/2110.06695v1
- Date: Wed, 13 Oct 2021 13:13:34 GMT
- Title: Relativistic elastic scattering of an electron by a muon in the field of
a circularly polarized electromagnetic wave
- Authors: Y. Mekaoui, M. Jakha, S. Mouslih, B. Manaut, R. Benbrik and S. Taj
- Abstract summary: We study the scattering of an electron by a muon in the presence of a circularly polarized monochromatic laser field.
The influence of the laser field strength and frequency on the differential cross section and multiphoton process is revealed.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Within the framework of quantum electrodynamics, the scattering of an
electron by a muon in the presence of a circularly polarized monochromatic
laser field is investigated theoretically in the first Born approximation. The
expressions for the amplitude and the differential cross section are derived
analytically by adopting the Furry picture approach in which the calculations
are carried out using exact relativistic Dirac-Volkov functions. We begin by
studying the process taking into account the relativistic dressing of only the
electron without muon. Then, in order to reveal the effect of the muon
dressing, we fully consider the relativistic dressing of the electron and muon
together in the initial and final states. As a result, the differential cross
section is significantly reduced by the laser field. We find that the effect of
laser-dressing of muon becomes noticeable at laser field strengths greater than
or equal to $10^{9}~\text{V cm}^{-1}$ and therefore must be taken into account.
The influence of the laser field strength and frequency on the differential
cross section and multiphoton process is revealed. An insightful comparison
with the laser-free results is also included.17
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