On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound states for the one-dimensional inversely linear background

TL;DR

This paper investigates spin-0 and spin-1 bosons in a mixed minimal-nonminimal inverse linear potential within the Duffin-Kemmer-Petiau framework, revealing their effective similarity and the nonexistence of even-parity solutions.

Contribution

It provides a unified analysis of bosons with mixed potentials and establishes an orthogonality criterion to determine unique solutions.

Findings

Spin-0 and spin-1 bosons behave similarly in the given potential.

Even-parity solutions are shown not to exist.

A unique set of solutions is identified using the orthogonality criterion.

Abstract

The problem of spin-0 and spin-1 bosons in the background of a general mixing of minimal and nonminimal vector inversely linear potentials is explored in a unified way in the context of the Duffin-Kemmer-Petiau theory. It is shown that spin-0 and spin-1 bosons behave effectively in the same way. An orthogonality criterion is set up and it is used to determine uniquely the set of solutions as well as to show that even-parity solutions do not exist.