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Relativistic photoeffect for s states in a central field

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Abstract

We study the photoionization of the s states in the systems bound by sufficiently weak central fields V(r) for the large photon energies corresponding to the relativistic photoelectrons. We demonstrate that the energy dependence of the photoionization cross section can be obtained without solving the wave equation. We show that the shape of the energy dependence of the cross section is determined by analytical properties of the binding potential V(r). We find the cross sections for the potentials V(r) which have singularities in the origin, on the real axis and in the complex plane.

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Authors and Affiliations

  1. National Research Center “Kurchatov Institute”, B.P. Konstantinov Petersburg Nuclear Physics Institute Gatchina, St. Petersburg, 188300, Russia

    Evgenii Drukarev & Alexander Mikhailov

  2. Department of Chemistry, University of Antwerp, Universiteitsplein 1, Antwerpen, 2610, Belgium

    Khamdam Yu. Rakhimov

  3. Faculty of Physics and Mathematics, Tashkent State Pedagogical University, 27 Bunyodkor Str., Tashkent, 100070, Uzbekistan

    Hammid Yusupov

Authors
  1. Evgenii Drukarev
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  2. Alexander Mikhailov
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  3. Khamdam Yu. Rakhimov
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  4. Hammid Yusupov
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Correspondence to Khamdam Yu. Rakhimov.

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Drukarev, E., Mikhailov, A., Rakhimov, K.Y. et al. Relativistic photoeffect for s states in a central field. Eur. Phys. J. D 74, 166 (2020). https://doi.org/10.1140/epjd/e2020-10264-7

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  • DOI: https://doi.org/10.1140/epjd/e2020-10264-7

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