Eur. Phys. J. D (2017) 71: 207
https://doi.org/10.1140/epjd/e2017-80182-x

Regular Article

Asymptotic behavior of photoionization cross section in a central field

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

^a e-mail: drukarev@thd.pnpi.spb.ru

Received: 16 March 2017
Received in final form: 28 May 2017
Published online: 3 August 2017

Abstract

We demonstrate that the high energy nonrelativistic asymptotics for the photoionization cross section in a central field V(r) can be obtained without solving of the wave equations for the bound and outgoing electrons. The asymptotics is expressed in terms of the asymptotics of the Fourier transform V(p) of the field. We show that the cross sections drop in the same way for the fields with the Coulomb short distance behavior. The character of the cross sections energy behavior is related to the analytical properties of the function V(r). The cross sections exhibit power drop for the potentials which have singularities on the real axis. They experience the exponential drop if V(r) has singularities in the complex plane.