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Perturbative Study of Bremsstrahlung and Pair-Production by Spin-½ Particles in the Aharonov–Bohm Potential

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Abstract

In the presence of an external Aharonov–Bohm potential, we investigate the two QED processes of the emission of a bremsstrahlung photon by an electron, and the production of an electron–positron pair by a single photon. Calculations are carried out using the Born approximation within the framework of covariant perturbation theory to lowest non-vanishing order in α. The matrix element for each process is derived, and the corresponding differential cross-section is calculated. In the non-relativistic limit, the resulting angular and spectral distributions and some polarization properties are considered, and compared to results of previous works.

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Correspondence to M. S. Shikakhwa.

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al-Binni, U.A., Shikakhwa, M.S. Perturbative Study of Bremsstrahlung and Pair-Production by Spin-½ Particles in the Aharonov–Bohm Potential. Int J Theor Phys 44, 1399–1412 (2005). https://doi.org/10.1007/s10773-005-4774-y

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  • DOI: https://doi.org/10.1007/s10773-005-4774-y

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