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Uehling potential and lowest-order corrections on vacuum polarization to the cross sections of some QED processes

  • Regular Article – Theoretical Physics
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Abstract

Properties and different representations of the Uehling potential are investigated. Based on these properties and by using our formulas for the Fourier transform of the Uehling potential we have developed the new analytical, logically closed and physically transparent procedure which can be used to evaluate the lowest-order vacuum polarization correction to the cross sections of a number of QED processes, including the Mott electron scattering, bremsstrahlung, creation and/or annihilation of the \((e^{-}, e^{+})-\)pair in the field of a heavy Coulomb center, e.g., atomic nucleus.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This paper is a transparent and logically closed investigation. All formulas needed for the goal of this manuscript are either derived in the text, or taken from the mentioned reliable sources. There is no additional ‘hidden’ data which must be deposited anywhere.]

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Western Ontario, London, ON, N6H 5B7, Canada

    Alexei M. Frolov

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  1. Alexei M. Frolov
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Correspondence to Alexei M. Frolov.

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Communicated by Vittorio Somà

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Frolov, A.M. Uehling potential and lowest-order corrections on vacuum polarization to the cross sections of some QED processes. Eur. Phys. J. A 57, 79 (2021). https://doi.org/10.1140/epja/s10050-021-00394-y

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  • DOI: https://doi.org/10.1140/epja/s10050-021-00394-y

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