The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time

TL;DR

This paper explores how the Aharonov-Casher effect influences the energy levels of a generalized Dirac oscillator with Coulomb potential in a cosmic string space-time, revealing degeneracy breaking due to curvature and electromagnetic effects.

Contribution

It provides exact analytical solutions for the Dirac oscillator in a cosmic string background considering the Aharonov-Casher effect, highlighting the impact on energy degeneracy.

Findings

Degeneracy of energy levels is broken by Coulomb strength and curvature effects.

Relativistic eigenfunctions and eigenvalues are derived analytically.

The Aharonov-Casher effect influences the energy spectrum in curved space-time.

Abstract

In this manuscript, we investigate the influence of the Aharonov-Casher effect on the generalized Dirac oscillator containing the Coulomb-type potential function related to a relativistic neutral particle having a permanent magnetic dipole moment interacting with the external electromagnetic fields in (1+2)-dimensional cosmic string space-time. The eigenfunctions and energy eigenvalues of such a Dirac oscillator are derived by using the Nikifornov-Uvarov method. We indicate that implementing the scenario gives the relativistic modified exact analytical solutions. In this way, we can see that the degeneracy of the relevant relativistic energy eigenvalues is broken by depending on the Coulomb strength parameter under the influence of the curvature effect and the Aharonov-Casher effect.