Approximate scattering state solutions of DKPE and SSE with Hellmann Potential

TL;DR

This paper presents approximate solutions for scattering states of the DKPE and SSE equations with the Hellmann potential, analyzing phase shifts, cross sections, and the effects of various parameters.

Contribution

It introduces a method to obtain approximate scattering solutions for DKPE and SSE with the Hellmann potential, including detailed analysis of phase shifts and cross sections.

Findings

Scattering phase shifts are computed for various parameters.

Total cross sections are analyzed across partial waves.

Dependence of scattering properties on angular momentum and potential parameters is demonstrated.

Abstract

We study the approximate scattering state solutions of the Duffin-Kemmer-Petiau equation (DKPE) and the spinless Salpeter equation (SSE) with the Hellmann potential. The eigensolutions, scattering phase shifts, partial-waves transitions and the total cross section for all the partial waves are obtained and discussed. The dependence of partial-waves transitions on total angular momentum number, angular momentum number, mass combination and potential parameters were presented in the figures.