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Bound states of the Dirac equation with non-central scalar and vector potentials: a modified double ring-shaped generalized Cornell potential

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A Correction to this article was published on 11 July 2022

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Abstract

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.

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Acknowledgements

The authors thank the anonymous reviewers for their valuable advice and appreciate their very constructive comments and suggestions which have improved this work.

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Authors and Affiliations

  1. Laboratory of Mathematics and their Interactions (Melilab), University Center Abdelhafid Boussouf, Mila, Algeria

    Djahida Bouchefra

  2. Department of Mathematics and Computer Science, Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila, Algeria

    Djahida Bouchefra & Badredine Boudjedaa

  3. Natural Sciences and Materials Laboratory, University Center Abdelhafid Boussouf, Mila, Algeria

    Badredine Boudjedaa

Authors
  1. Djahida Bouchefra
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  2. Badredine Boudjedaa
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Correspondence to Badredine Boudjedaa.

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The original online version of this article was revised to correct the first author name to Djahida Bouchefra.

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Bouchefra, D., Boudjedaa, B. Bound states of the Dirac equation with non-central scalar and vector potentials: a modified double ring-shaped generalized Cornell potential. Eur. Phys. J. Plus 137, 743 (2022). https://doi.org/10.1140/epjp/s13360-022-02976-1

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  • DOI: https://doi.org/10.1140/epjp/s13360-022-02976-1

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