https://doi.org/10.1140/epjp/s13360-023-03830-8
Regular Article
Energy levels of the improved Tietz oscillator in external magnetic and Aharonov-Bohm flux fields: the Pekeris approximation recipe
1
Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria
2
Department of Physics, Faculty of Science, University of Maiduguri, P.M.B. 1069, Maiduguri, Borno State, Nigeria
3
Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
4
Department of Physics Education, Federal College of Education (Technical) Gombe, P.M.B. 060, Gombe, Gombe State, Nigeria
5
Department of Physics, Kogi State University, Anyigba, Nigeria
6
Department of Physics, Faculty of Science, Taraba State University, P.M.B. 1176, Jalingo, Taraba State, Nigeria
7
Department of Pure and Applied Sciences, Taraba State Polytechnic, Suntai, P.M.B. 1030, Jalingo, Taraba State, Nigeria
8
Department of Physics, Federal University of Petroleum Resources, Effurun, Delta, Nigeria
Received:
29
November
2022
Accepted:
21
February
2023
Published online:
17
March
2023
In this work, the radial Schrödinger equation is solved with the improved Tietz oscillator in the presence of an external magnetic and Aharonov-Bohm (AB) flux fields. By employing the proper quantization rule, analytical equation for bound state energy levels was derived within the framework of Pekeris-type approximation scheme. The expression for the energy levels was used to generate numerical data for some diatomic substances including HF (X 1Σ+), HCl (X 1Σ+), HI (X 1Σ+), CO (X 1Σ+), MgH (X 2Σ+), ICl (A 3Π1), K2 (a3Σu+), 7Li2 (a3Σu+), BrF (X 1Σ+) and BCl (X 1Σ+) molecules. In the absence of the external fields, the mean absolute deviation of the energy levels from experimental data of the molecules are 3.3494%, 2.9210%, 2.8613%, 0.3985%, 4.0886%, 0,9203%, 1.7691%, 0.4850%, 1.0628%, and 0.9010%. The study further reveal that in the absence of the external fields, the obtained energy levels are degenerate. However, if the fields are maintained at about 10 μT, the resulting energy of the molecules is nondegenerate. The results obtained are in good agreement with available literature on diatomic systems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
