Duffin-Kemmer-Petiau particle in a vector exponential-like decaying field with any arbitrary -state

TL;DR

This paper solves the DKP equation for a vector exponential-like decaying potential across arbitrary angular momentum states using the NU method, providing energy spectra and wave functions with applications to zero angular momentum and nonrelativistic limits.

Contribution

It introduces an approximate analytical solution to the DKP equation with a specific potential for any angular momentum state using the NU method.

Findings

Derived energy eigenvalues for the DKP equation with exponential-like potential.

Obtained explicit wave functions in closed form.

Discussed special cases including zero angular momentum and nonrelativistic limits.

Abstract

The Duffin Kemmer Petiau (DKP) equation is solved approximately for a vector exponential-like decaying potential with any arbitrary J state by using the Pekeris approximation. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in a closed form. The cases of zero total angular momentum and nonrelativistic limit are discussed too.