A direct method for the low energy scattering solution of delta shell potentials
Department of Mathematics, İzmir Institute of Technology, Urla, 35430, İzmir, Turkey
2 Department of Physics, Boğaziçi University, Bebek, 34342, İstanbul, Turkey
Accepted: 24 February 2022
Published online: 5 March 2022
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022