Preprint
Article

Relativistic Scalar Feld Under the EffEcts of Lorentz Symmetry Violation Subject to Cornell-Type Potential

This version is not peer-reviewed.

Submitted:

28 May 2021

Posted:

31 May 2021

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Abstract
We investigate a scalar particle under Lorentz symmetry breaking effects determined by a tensor out of the Standard Model Extension (SME) in the presence of a Cornell-type potential by modifying the mass term M → M +S in the KG-equation. The field configuration is such that a Coulomb-type radial electric field and a constant magnetic field can be induced by Lorentz symmetry violation, and analyze the behaviour of a scalar particle. One can see that the bound states solution to the KG-equation under the consider effects can be achieved, and a quantum effect characterized by the dependence of charge density distribution parameter on the quantum numbers of the system is observed.
Keywords: 
Lorentz symmetry violation; Relativistic wave-equations; scalar potential; electric & magnetic field; biconfluent Heun’s function
Subject: 
Physical Sciences  -   Acoustics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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