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Relativistic bound states of the pseudoharmonic potential in the presence of external magnetic and Aharonov–Bohm fields

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Abstract

The analytical solutions of the Dirac equation are presented in this paper in the presence of external fields using the formula method with the pseudoharmonic potential. The exact spin symmetry and pseudospin symmetry case are examined. Using a mapping to the non-relativistic limit for the exact spin symmetry limit, the non-relativistic energies are obtained both in the presence of the external field and in the absence of the field (in 3D). As an application, the non-relativistic energy eigenvalues of the N2, CH, CO and NO molecules under the influence of the external fields is presented. Furthermore, the ro-vibrational energies of the selected molecules are obtained in 3D. The results of the study are found to be consistent with the literature with the small variation arising from methodology and possibly due to difference in the conversion factors used for obtaining the energy of the molecules.

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Data Availability Statement

All data included in this manuscript are available upon request by contacting the corresponding author.

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Authors and Affiliations

  1. Department of Physics, Federal University of Technology, P.M.B 1526, Owerri, Imo State, Nigeria

    I. J. Njoku, C. P. Onyenegecha & C. J. Okereke

  2. Department of Physics, Federal University of Petroleum Resources, Effurun, 330102, Delta State, Nigeria

    E. Omugbe

Authors
  1. I. J. Njoku
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  2. C. P. Onyenegecha
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  3. C. J. Okereke
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  4. E. Omugbe
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Correspondence to I. J. Njoku.

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Njoku, I.J., Onyenegecha, C.P., Okereke, C.J. et al. Relativistic bound states of the pseudoharmonic potential in the presence of external magnetic and Aharonov–Bohm fields. Eur. Phys. J. Plus 137, 842 (2022). https://doi.org/10.1140/epjp/s13360-022-02833-1

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  • DOI: https://doi.org/10.1140/epjp/s13360-022-02833-1

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