Eur. Phys. J. Plus (2022) 137: 308
https://doi.org/10.1140/epjp/s13360-022-02520-1

Regular Article

A direct method for the low energy scattering solution of delta shell potentials

¹ Department of Mathematics, İzmir Institute of Technology, Urla, 35430, İzmir, Turkey
² Department of Physics, Boğaziçi University, Bebek, 34342, İstanbul, Turkey

Received: 23 November 2021
Accepted: 24 February 2022
Published online: 5 March 2022

Abstract

A direct method for the bound states and the low energy scattering from a circular and a spherical delta shell potentials is proposed, and the results are compared with the one using the standard partial wave analysis developed for potentials with rotational symmetry. The formulation is presented in momentum space, and the scattering solutions are obtained by considering the elementary use of distributions. In this approach, the outgoing boundary conditions are imposed explicitly in contrast to the prescription often used in quantum mechanics.