https://orcid.org/0000-0002-5247-5281
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Abstract
In this paper, we studied the quantum dynamics of the TiC, NiC, and CuLi diatomic molecules interacting with the Varshni-Eckart potential (VEP) model in topological defects geometry associated with cosmic string under the influence of magnetic and Aharonov-Bohm (AB) flux fields. We employ the Greene-Aldrich approximation scheme in the centrifugal term and determine the approximate eigenvalue solution using the Nikiforov-Uvarov-Functional Analysis (NUFA) method. The numerical energy spectra for topological defects geometry and external fields with this potential are determined. Subsequently, we applied the eigenvalue solution to various cases of the potential model and obtained their analytical solutions. When compared to Minkowski flat space results, the presence of topological defects and external fields eliminates degeneracy and shifts the energy spectra of the diatomic molecules.
GRAPHICAL ABSTRACT
Acknowledgement
The authors are grateful to Mr. C. O. Edet for his positive comments which has significantly help in improving the quality of the manuscript.
Statement of article significance
Recent research has focused on the mutual effects of magnetic and Aharonov-Abohm (AB) flux fields in the topological defects of cosmic string on the energy spectra of quantum systems. Furthermore, research shows that external fields and topological defects can impact the energy spectra of a system. In this research, we investigate solutions to the SE on the TiC, NiC, and CuLi molecules with the Varshni-Eckart potential model. The findings reveal that the combined impacts of the magnetic and AB flux fields in a cosmic string geometry shift the energy level compared to Minkowski flat space.
Disclosure statement
No potential conflict of interest was reported by the author(s).