Eur. Phys. J. C (2020) 80: 270
https://doi.org/10.1140/epjc/s10052-020-7833-x

Regular Article - Theoretical Physics

On the resonances near the continua boundaries of the Dirac equation with a short-range interaction

National Research Nuclear University MEPhI, Moscow, 115409, Russia

^* e-mail: krylov@theor.mephi.ru

Received: 16 October 2019
Accepted: 12 March 2020
Published online: 26 March 2020

Abstract

Using the model of a deep spherically symmetric rectangular well as an example, it is shown that resonant scattering near the boundaries of the lower or upper Dirac continua cannot serve as evidence in favor of spontaneous electron-positron pair production in a supercritical domain.