Any J-state solution of the DKP equation for a vector deformed Woods-Saxon potential

TL;DR

This paper solves the DKP equation with a deformed Woods-Saxon potential using approximation and NU method, providing energy spectra and wave functions for various angular momenta and potential parameters.

Contribution

It introduces a method to obtain approximate and exact solutions of the DKP equation for a deformed Woods-Saxon potential across all angular momenta.

Findings

Derived approximate energy eigenvalues and wave functions for arbitrary J.

Obtained exact solutions for J=0 case.

Numerical results for energy states with different quantum numbers and potential parameters.

Abstract

By using the Pekeris approximation, the Duffin-Kemmer-Petiau (DKP) equation is investigated for a vector deformed Woods-Saxon (dWS) potential. The parametric Nikiforov-Uvarov (NU) method is used in calculations. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for any total angular momentum J in closed form. The exact energy equation and wave function spinor components are also given for the J=0 case. We use a set of parameter values to obtain the numerical values for the energy states with various values of quantum levels (n,J) and potential's deformation constant q and width R.