Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator

TL;DR

This paper analyzes the properties of vector interactions in the DKP formalism, deriving angular momentum conservation, emphasizing the role of the space component in confinement, and presenting exact solutions for a bosonic oscillator with an equally spaced energy spectrum.

Contribution

It provides the first exact solutions for the vector DKP oscillator with nonminimal coupling, revealing spectral degeneracies and clarifying the role of potential components in boson confinement.

Findings

Conservation of total angular momentum derived for nonminimal potentials.

Exact solutions for the vector DKP oscillator are obtained.

The energy spectrum shows accidental degeneracy in the weak-coupling limit.

Abstract

Some properties of minimal and nonminimal vector interactions in the Duffin-Kemmer-Petiau (DKP) formalism are discussed. The conservation of the total angular momentum for spherically symmetric nonminimal potentials is derived from its commutation properties with each term of the DKP equation and the proper boundary conditions on the spinors are imposed. It is shown that the space component of the nonminimal vector potential plays a crucial role for the confinement of bosons. The exact solutions for the vector DKP oscillator (nonminimal vector coupling with a linear potential which exhibits an equally spaced energy spectrum in the weak-coupling limit) for spin-0 bosons are presented in a closed form and it is shown that the spectrum exhibits an accidental degeneracy.