Non-minimally coupled fermion-antifermion pair in a Lorentz-violating wormhole
Year: 2026
Type: article
Abstract: We study a non-minimally coupled fermion–antifermion system in a ( 2 + 1 ) -dimensional Lorentz-violating wormhole background generated by a curvature-coupled antisymmetric Kalb–Ramond field. Starting from a fully covariant two-body Dirac equation, we derive an exact non-perturbative reduction to a single Schrödinger-type radial equation with a harmonic confining term and a throat-regularized spin-dependent interaction. In the spinless sector, the radial equation is exactly solvable and yields closed-form relativistic energy levels and Hermite–Gaussian bound states. For nonzero spin, the radial equation belongs to the confluent-Heun class and admits polynomial solutions only under algebraic parameter constraints. We show that confinement is supplied by the non-minimal oscillator coupling, whereas the wormhole throat and Lorentz-violating deformation modify the effective confinement scale, relativistic spectral scale, and localization of the bound states. The finite throat radius regularizes the spin-dependent inverse-square interaction that would otherwise become singular. In the Lorentz-invariant limit, the geometry reduces to the ( 2 + 1 ) -dimensional Ellis wormhole, while the combined flat-space and non-relativistic limits recover the standard harmonic-oscillator behavior.
Source: Physics Letters B
Authors: Abdullah Guvendi, Omar Mustafa
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7221610996