Dissociation of Quarkonium in hot and Dense Media in an Anisotropic Plasma in the Non-Relativistic Quark Model

In this paper, quarkonium dissociation is investigated in an anisotropic plasma in the hot and dense media. For that purpose, the multidimensional Schrodinger equation is solved analytically by Nikiforov-Uvarov (NU) method for the real part of the potential in an anisotropic medium. The binding energy and dissociation temperature are calculated. In comparison with an isotropic medium, the binding energy of quarkonium is enhanced in the presence of an anisotropic medium. The present results show that the dissociation temperature increases with increasing anisotropic parameter for 1S state of the charmonium and bottomonium. We observe that the lower baryonic chemical potential has small effect in both isotropic and anisotropic media. A comparison is presented with other pervious theoretical works.Comment: 11 pages, 10 figures, 1 table

Properties and Behaviors of Heavy Quarkonia: Insights Through Fractional Model and Topological Defects

In this study, we investigated the impact of a topological defect on the properties of heavy quarkonia using the extended Cornell potential. We solved the fractional radial Schrodinger equation (SE) using the extended Nikorov-Uvarov (ENU) method to obtain the eigen energy, which allowed us to calculate the masses of charmonium and bottomonium. One significant observation was the splitting between np and nd states, which we attributed to the presence of the topological defect. We discovered that the excited states were divided into components corresponding to 2l + 1, indicating that the gravity field induced by the topological defect interacts with energy levels in a manner similar to the Zeeman effect caused by a magnetic field. Additionally, we derived the wave function and calculated the root mean radii for charmonium and bottomonium. A comparison with classical models was performed, resulting in better results being obtained. Furthermore, we investigated the thermodynamic properties of charmonium and bottomonium, determining quantities such as energy, partition function, free energy, mean energy, and specific heat for p-states. The obtained results were found to be consistent with experimental data and previous works. In conclusion, the fractional model used in this work proved essential in understanding the various properties and behaviors of heavy quarkonia in the presence of topological defects.Comment: 29 pages, 13 figures, 6 Table

The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications

By using generalized fractional derivative, the parametric generalized fractional Nikiforov-Uvarov (NU) method is introduced. The second-order parametric generalized differential equation is exactly solved in the fractional form. The obtained results are applied on the extended Cornell potential, the pesudoharmonic potential, the Mie potential, the Kratzer-Fues potential, the harmonic oscillator potential, the Morse potential, the Woods-Saxon potential, the Hulthen potential, the deformed Rosen-Morse potential and the Poschl-Teller potential which play an important role in the fields of molecular and hadron physics. The special classical cases are obtained from the fractional cases at ELFA = BETA =1 which are agreements with recent works.Comment: 15 page

The Effect of Extended Cornell Potential on Heavy and Heavy-Light Meson Masses Using Series Method

The effect of an extended Cornell potential on the mass spectra of heavy and heavy-light mesons is studied. The Cornell potential is extended to include quadratic potential and inverse quadratic potential. The N-radial Schrödinger equation is solved by using series method. The results for charmonium and bottomonium and light-heavy meson masses are obtained. A comparison with other recent works is discussed. The present results are improved in comparison with other recent works and are in a good agreement with experimental data

Spectra of Heavy Quarkonia in a Magnetized-Hot Medium in the Framework of Fractional Non-relativistic Quark Model

In the fractional nonrelativistic potential model, the decomposition of heavy quarkonium in a hot magnetized medium is investigated. The analytical solution of the fractional radial Schrodinger equation for the hot-magnetized interaction potential is displayed by using the conformable fractional Nikiforov-Uvarov method. Analytical expressions for the energy eigenvalues and the radial wave function are obtained for arbitrary quantum numbers. Next, we study the charmonium and bottmonium binding energies for different magnetic field values in the thermal medium. The effect of the fractional parameter on the decomposition temperature is also analyzed for charmonium and bottomonium in the presence of hot magnetized media. We conclude that the dissociation of heavy quarkonium in the fractional nonrelativistic potential model is more practical than the classical nonrelativistic potential model.Comment: 13 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2104.0054

Role of Inflammatory Cytokines in Obese and Nonobese Diabetic Children

BACKGROUND: Obesity is an expanded health problem worldwide and it is blamed for a startling rise in type 1 diabetes (T1DM), the interaction between obesity, autoimmune processes, and glucose homeostasis is a growing field of study. AIM: This study was undertaken to predict the role of the inflammatory cytokines (interleukin [IL]-17 and IL-10) as biomarkers in early screening for obesity and T1DM and to determine the relation of inflammatory cytokines with diabetic complications especially nephropathy. SUBJECTS AND METHODS: The target group consisted of 92 children with type 1 diabetes children who were diagnosed according to the criteria provided by American Diabetes Association Diabetic; cases were divided into two groups, Group 1 (overweight and obese diabetics) and Group 2 (normal weight diabetic children). The levels of serum IL-17 and IL-10 were assayed in these children by an enzyme-linked immunosorbent assay. Serum triglycerides (TG) and cholesterol levels were measured as well as urinary microalbumin level was estimated for detection of nephropathy. RESULTS: Diabetic overweight and obese children exhibited significantly 3.8 folds more at risk to be bad glycemic control than diabetic children with normal body mass index (BMI). Furthermore, overweight and obese diabetic children displayed significantly 15 times more at risk of having nephropathy than diabetic children with normal BMI. Low serum level of IL 10 and high level of IL 17 showed a significant association with high BMI in diabetic children. High HBA1c, low IL 10, and long disease duration were significantly considered as predominant risk factors for diabetic nephropathy in diabetic children. CONCLUSION: The obtained data from these investigations proved that overweight and obese children have a low serum level of IL-10 and high serum IL-17 levels. The relationship between IL-10/IL-17 can be applied as a good marker for the inflammatory state and these inflammatory interleukins can be employed as biomarkers in early screening for obesity and T1DM. Furthermore, these interleukins can be utilized as a predictor for early diabetic complications, particularly nephropathy