journal article·2024-04-01Open access

Investigating the fractional wave function and the impact of topological defects with anisotropic plasma on the dissociation of bottomonium in the fractional non-relativistic quark model

M. Abu-Shady, Hijaz Ahmad, Hammad Alotaibi, Ahmed Refaie Ali

AIP Advances· Volume 14· Issue 4

Abstract

Incorporating a topological defect and anisotropic plasma, this work used the generalized fractional of the Nikiforov–Uvarov technique to solve the fractional-radial Schrödinger equation in the longitudinal-transverse plane. The study produced wave functions and energy eigenvalues in their fractional forms. The results showed that the presence of an anisotropic plasma and a topological defect increases the dissociation energy of bottomonium. Furthermore, regardless of whether the fractional or classical models are taken into account, it was shown that the effect of temperature on the dissociation energy is stronger than the effect of baryonic chemical potential. In addition, the dissociation energy of bottomonium is significantly larger at lower chemical potential levels. Last but not least, the energy of bottomonium is only little influenced by magnetic auxiliaries.
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Research context

OpenAlex topics: Quantum Mechanics and Non-Hermitian Physics · Fractional Differential Equations Solutions · High-Energy Particle Collisions Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics and Computer Science, Faculty of Science, Menoufia University 1 , Shbien El-Kom, Egypt

Near East University, Operational Research Center in Healthcare 2 , TRNC Mersin 10, Nicosia, 99138, Turkey; Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia; Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology, Mishref, Kuwait; Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

Department of Mathematics and Statistics, College of Science, Taif University 3 , P.O. Box 11099, Taif 21944, Saudi Arabia

Department of Mathematics and Computer Science, Faculty of Science, Menoufia University 4 , Shebin El Kom 32511, Menofia Governorate, Egypt

Funding

Taif University

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