# 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.

## Key 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.

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Source: https://tomesphere.com/paper/1705.03101