Energy Spectra of Shifted Screened Kratzer Potential (SSKP) for some Diatomic Molecules in the Presence of Magnetic and Aharonov-Bohm Flux Fields using Extended Nikiforov-Uvarov Method
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Abstract
It is well-established in the literature that some magnetic field-related phenomena, such as Zeeman effect, have recently become particular significant in changing the behavior of some quantum system. Notably, degeneracy is eleiminated by the magnetic field. It has also recently been found that the Aharonov-Bohm (AB)-flux field serves this purpose when it is introduced to a quantum system. Therefore, in this research work, the effect of shifting parameters on the energy spectra of Hydrogen (H2), Lithium Hydride (LiH), Hydrogen Chloride (HCl), and Carbon (II) oxide (CO) diatomic molecules with shifted screened Kratzer potential model in the presence of magnetic and Aharonov-Bohm (AB)-flux fields are investigated using Extended Nikiforov-Uvarov (ENU) method. We obtained the energy equation in a closed form and its corresponding wave function in terms of hypergeometric polynomials respectively. The obtained energy equation are used to study the selected diatomic molecules. It is observed that the effect of shifting parameters influences the energy eigenvalues of diatomic molecules to becomes strongly negative or bound. From our finding, it could be concluded that to regulate the energy spectra of these diatomic molecules, the shifting parameters will do so greatly. This is because it has been established that, potential energy functions with more parameters are better than those with fewer parameters as they tend to fit experimental data. It is also seen that the presence of magnetic and Aharonov-Bohm (AB)-flux fields breaks degeneracy in the energy levels of diatomic molecules. As a special case, when the shifting parameters in the shifted screened Kratzer potential is set to zero, then the well-known Kratzer potential and screened Kratzer potential are recovered. Numerical results for the energy eigenvalues are also obtained for different quantum states. Our results are seen to agree with the results in literature.
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