Influences of the Lorentz symmetry violation on the interaction of the relativistic spin-zero particle with the Cornell-type non-minimal coupling

Abstract

Based on the Standard Model Extension, we study the influences of Lorentz symmetry breaking effects on the interaction of a neutral spin-zero Duffin–Kemmer–Petiau particle. This particle is non-minimal coupled to a Cornell-type potential, which represents a generalized relativistic quantum oscillator model. This system is considered in the background of the Lorentz symmetry breaking mechanics generated by an electric field and a fixed vector field, which in turn provides a type of magnetic dipole moment. The generalized Duffin–Kemmer–Petiau equation is constructed incorporating that non-minimal CPT-odd coupling. Exact analytical spectral properties are derived for two special configurations of the electric and fixed vector field, both exhibiting a cylindric symmetry.