Hulthén potential under the Lorentz symmetry violation effects due to the coupling between the vector field fμ γ5and the derivative of the fermionic field

K. Bakke; H. Belich

doi:10.1209/0295-5075/acbaba

All issues

Volume 141 / No 4 (February 2023)

EPL, 141 4 (2023) 40004

Abstract

Issue		EPL Volume 141, Number 4, February 2023


Article Number		40004
Number of page(s)		6
Section		General physics
DOI		https://doi.org/10.1209/0295-5075/acbaba
Published online		22 February 2023

EPL, 141 (2023) 40004

Hulthén potential under the Lorentz symmetry violation effects due to the coupling between the vector field f^μ γ⁵and the derivative of the fermionic field

K. Bakke¹^(a) and H. Belich²^(b)

¹ Departamento de Física, Universidade Federal da Paraíba - Caixa Postal 5008, 58051-900, João Pessoa, PB, Brazil
² Departamento de Física e Química, Universidade Federal do Espírito Santo - Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, Brazil

^(a) E-mail: kbakke@fisica.ufpb.br (corresponding author)
^(b) E-mail: humberto.belich@pq.cnpq.br

Received: 14 December 2022
Accepted: 9 February 2023

Abstract

We search for Lorentz symmetry violation effects caused by the coupling between a fixed vector field $B^{\mu} = f^{\mu}\gamma^{5}$ and the derivative of the fermionic field in the nonrelativistic regime. By working with $\left(1+1\right)$ dimensions, we study nonrelativistic effects of the Lorentz symmetry violation on the energy eigenvalues of the Hulthén potential and the deformed Hulthén potential.

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