An effective singular oscillator for Duffin-Kemmer-Petiau particles with a nonminimal vector coupling: a two-fold degeneracy

TL;DR

This paper investigates the bound states of scalar and vector bosons under a specific potential within the Duffin-Kemmer-Petiau framework, revealing exact solutions and degeneracy phenomena.

Contribution

It introduces a unified approach to analyze bosons with nonminimal vector potentials, mapping the problem to a singular oscillator and deriving exact bound-state solutions.

Findings

Exact bound-state solutions for spin-0 bosons are obtained.

The spectrum shows degeneracy depending on potential parameters.

Bound states in the spin-1 sector depend on potential parameters.

Abstract

Scalar and vector bosons in the background of one-dimensional nonminimal vector linear plus inversely linear potentials are explored in a unified way in the context of the Duffin-Kemmer-Petiau theory. The problem is mapped into a Sturm-Liouville problem with an effective singular oscillator. With boundary conditions emerging from the problem, exact bound-state solutions in the spin-0 sector are found in closed form and it is shown that the spectrum exhibits degeneracy. It is shown that, depending on the potential parameters, there may or may not exist bound-state solutions in the spin-1 sector.