Energy Values of Titanium Hydride (TiH) Diatomic Molecule with Modified Kratzer Energy-Dependent Screened Coulomb Potential in the Presence of Magnetic and Aharonov-Bohm Flux Fields

Authors

  • Sunday Danladi Ishaya
    NNPC LIMITED
  • Yerima Jabil Yakubu
    University of Jos
  • Davou Christopher Lawrence
    University of Jos

Keywords:

Aharonov–Bohm (AB) flux, Energy-dependent screened Coulomb potential, Modified Kratzer potential, Slope parameter, Titanium Hydride (TiH) diatomic molecule

Abstract

In this study, the modified Kratzer energy-dependent screened Coulomb potential is analyzed in the presence of external magnetic and Aharonov–Bohm (AB) flux fields. The Schrödinger equation is solved using the Nikiforov–Uvarov Functional Analysis (NUFA) method, yielding closed-form expressions for the energy eigenvalues and the corresponding wavefunctions. The resulting solutions are applied to the Titanium Hydride (TiH) diatomic molecule to investigate how external fields and the slope parameter  which characterizes the rate at which the screening strength and potential shape vary with internuclear separation affect the molecular energy spectrum. The slope parameter plays a key role in determining the stiffness and depth of the effective potential: negative values () enhance attractive behavior and support both positive and negative bound-state energies; zero slope () produces only positive bound-state levels; and positive slope () alters the spacing of the spectrum by increasing the sensitivity of the energy levels to external-field perturbations. Numerical results show that external fields strongly influence degeneracy patterns in TiH. Magnetic fields remove degeneracy across , AB-flux fields create quasi-degeneracy, and the combined fields produce the most significant degeneracy lifting. Energy values consistently decrease with increasing vibrational quantum number . Special cases obtained by varying the magnetic quantum number and slope parameter reduce to the known modified Kratzer–Coulomb potential, and the resulting spectra agree well with available literature. These findings highlight the sensitivity of TiH molecular states to the slope parameter and external fields.

Dimensions

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Published

2026-01-30

How to Cite

Ishaya, S. D., Yakubu, Y. J., & Lawrence, D. C. (2026). Energy Values of Titanium Hydride (TiH) Diatomic Molecule with Modified Kratzer Energy-Dependent Screened Coulomb Potential in the Presence of Magnetic and Aharonov-Bohm Flux Fields. Nigerian Journal of Physics, 35(1), 142-154. https://doi.org/10.62292/njp.v35i1.2026.476

Issue

Vol. 35 No. 1 (2026): Nigerian Journal of Physics - Vol. 35 No. 1

Section

Articles
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How to Cite

Ishaya, S. D., Yakubu, Y. J., & Lawrence, D. C. (2026). Energy Values of Titanium Hydride (TiH) Diatomic Molecule with Modified Kratzer Energy-Dependent Screened Coulomb Potential in the Presence of Magnetic and Aharonov-Bohm Flux Fields. Nigerian Journal of Physics, 35(1), 142-154. https://doi.org/10.62292/njp.v35i1.2026.476

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