https://doi.org/10.1140/epjd/e2020-10264-7
Regular Article
Relativistic photoeffect for s states in a central field
1
National Research Center “Kurchatov Institute”, B.P. Konstantinov Petersburg Nuclear Physics Institute Gatchina, St. Petersburg 188300, Russia
2
Department of Chemistry, University of Antwerp, Universiteitsplein 1, Antwerpen 2610, Belgium
3
Faculty of Physics and Mathematics, Tashkent State Pedagogical University, 27 Bunyodkor Str., Tashkent 100070, Uzbekistan
a e-mail: khamdam.rakhimov@uantwerpen.be
Received:
11
May
2020
Received in final form:
14
June
2020
Published online:
4
August
2020
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.
Key words: Atomic Physics
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020
