https://doi.org/10.1140/epjp/s13360-022-02976-1
Regular Article
Bound states of the Dirac equation with non-central scalar and vector potentials: a modified double ring-shaped generalized Cornell potential
1
Laboratory of Mathematics and their Interactions (Melilab), University Center Abdelhafid Boussouf, Mila, Algeria
2
Department of Mathematics and Computer Science, Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila, Algeria
3
Natural Sciences and Materials Laboratory, University Center Abdelhafid Boussouf, Mila, Algeria
b
b.boudjedaa@centre-univ-mila.dz
Received:
9
April
2022
Accepted:
18
June
2022
Published online:
28
June
2022
In this paper, the bound state solutions and their corresponding relativistic energy eigenvalues of the Dirac equation are calculated with non-central scalar and vector potentials, a modified double ring-shaped generalized Cornell potential, in the framework of quasi-exactly solvable problems. In the case of spin symmetry, the Dirac equation is transformed into a Schrödinger-like equation. Using the separation of variables, we compute the angular parts of the solutions, of the corresponding Schrödinger-like equation, via the functional Bethe ansatz, and the radial part is determined by solving the biconfluent Heun differential equation.
The original online version of this article was revised to correct the first author name to Djahida Bouchefra.
A correction to this article is available online at https://doi.org/10.1140/epjp/s13360-022-03031-9.
Copyright comment corrected publication 2022
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. corrected publication 2022
