Approximate solution of the Duffin-Kemmer-Petiau equation for a vector Yukawa potential with arbitrary total angular momenta

TL;DR

This paper derives approximate analytical solutions for the Duffin-Kemmer-Petiau equation with a vector Yukawa potential, applicable to arbitrary angular momenta, using the parametric Nikiforov-Uvarov method, and provides numerical energy level results.

Contribution

It introduces a new approximate analytical framework for solving the DKP equation with a Yukawa potential for any angular momentum using the NU method.

Findings

Closed-form energy eigenvalues and wave functions for arbitrary angular momentum.

Numerical energy levels for various quantum states.

Application of the NU method to relativistic wave equations.

Abstract

The usual approximation scheme is used to study the solution of the Duffin-Kemmer-Petiau (DKP) equation for a vector Yukawa potential in the framework of the parametric Nikiforov-Uvarov (NU) method. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for arbitrary total angular momentum in closed form. Further, the approximate energy equation and wave function spinor components are also given for case. A set of parameter values is used to obtain the numerical values for the energy states with various values of quantum levels