The scattering phase shifts of the Hulth\'en-type potential plus Yukawa potential

TL;DR

This paper calculates bound state energies and scattering phase shifts for a combined Hulthén-type and Yukawa potential, revealing the significant influence of the Yukawa component on these quantum properties across various parameters.

Contribution

It introduces an improved short-range approximation to accurately compute bound states and phase shifts for the combined potential, advancing previous methods.

Findings

Yukawa potential significantly affects bound state energies.

Yukawa potential influences wave number-dependent phase shifts.

Results are consistent across different screening parameters and angular momenta.

Abstract

With the aid of an improved short-range approximation, the bound state energies and the scattering phase shifts for a Hulth\'en- type potential plus Yukawa potential are calculated within the framework of Nikiforov-Uvarov and standard methods, respectively. Our numerical calculations show that the presence of Yukawa potential has a significant influence on bound state energies and the wave number-dependent phase shifts for any arbitrary values of the screening parameter {\alpha} and angular momentum l.