Heavy-Meson Masses in the Framework of Trigonometric Rosen-Morse Potential Using the Generalized Fractional Derivative

Trigonometric Rosen-Morse Potential is employed as a mesonic potential interaction. The extended Nikiforov-Uvarov method is used to solve the N-radial Fractional Schrodinger equation analytically. Using the generalized fractional derivative, the energy eigenvalues are obtained in the fractional form. The current findings are used to calculate the masses of mesons such as charmonium, bottomonium, and heavy-light mesons. The current findings are superior to those of other recent studies and show good agreement with experimental data as a result, the fractional parameter is crucial in optimizing meson masses.Comment: 16 pages, 5 figures, 4 Table

The Fractional Schrodinger Equation with the Generalized Woods-Saxon Potential

The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods-Saxon potential reported in [Phys. Rev. C 72, 027001 (2005)] is extended to the fractional forms using the generalized fractional derivative and the fractional Nikiforov-Uvarov (NU) technique. Analytical solutions of bound states of the Schrodinger equation for the present potential are obtained in the terms of fractional Jacobi polynomials. It is demonstrated that the classical results are a special case of the present results at Elfa=Beta=1 Therefore, the present results play important role in molecular chemistry and nuclear physics.Comment: 10 pages and 1 figur

Effects of Topological Defects and Magnetic Flux on Dissociation Energy of Quarkonium in an Anisotropic Plasma

In this paper, we investigate the effects of anisotropic parameters, topological defects, and magnetic flux on the dissociation energy of bottomonium in an anisotropic quark-gluon plasma. We use the three-dimensional Schrödinger equation and derive the energy eigenvalues. Our findings show that the dissociation energy decreases with increasing temperature, but there is a slight shift towards higher values when the magnetic flux is increased. Furthermore, the inclusion of topological defects causes further shifts in the dissociation energy at high temperatures. Additionally, we analyze the impact of anisotropic medium on dissociation energy, both with and without considering topological defects. We observe that including topological defects results in higher values for the dissociation energy across all temperatures, while ignoring them leads to lower values at all temperatures studied. Moreover, we consider the baryonic chemical potential and find that its effect on dissociation is negligible compared to temperature variations. These findings provide valuable insights into the behavior of heavy quarkonium systems under different physical conditions and contribute to our understanding of topological effects in anisotropic media

First Principles Investigation of the Influence of Varied Cr Atom on Band Structure and Magnetic Moment of Rutile SnO2

Authors: Funmilayo  Ayedun, Etido P. Inyang  and Efiong A. Ibanga Received 18 November 2020/Accepted 24 December 2020 The electronic and magnetic properties of SnO2 doped with various compositions of chromium atoms are reported. Studies on magnetic property of CrxSn1-xO2 compounds features possible room temperature ferromagnetism which increased nonlinearly as Sn atom is replaced with Cr atom, at x = 0.25( 1.9976 ), x =  0.50 ( 3.9309 ), x = 0.75( 5.8831 ) and x = 1.00 (7.821 ). The magnetic moment and bandgap energy of undiluted SnO2 were compared at x = 0. The addition of Cr atom into SnO2 enhanced the shift from pure binary nonmetallic system to ternary metallic compound. The direct energy gaps decrease from x = 0 to 0.5, and increase from x = 0.75 to 1.0

Analytical solutions to the Schrödinger Equation with a Combined Potential using the Series Expansion Method to Study Selected Diatomic Molecules

Communication in Physical Sciences, 2022, 8(2):258-276 Etido P. Inyang,  Joseph E.Ntibi, Olumuyiwa O.Akintola , Efiong A. Ibanga , Funmilayo Ayedun, and Eddy S.William Received: 26 January 2022/Accepted 19 May 2022 In this work, the Schrödinger equation with the Hulthén plus screened Kratzer Potential is solved via the series expansion method. The energy equation was used to compute the bound state energy for twelve diatomic molecules such as; CuLi, TiH, VH, TiC, HCl, LiH, H2, ScH, CO, I2 ,N2, and NO  for various quantum states. Three special cases were obtained from the combined potential when some potential parameters were set to zero, resulting in Hulthén, screened Kratzer, and Kratzer potentials. To test the accuracy of our results, we computed the bound state energy eigenvalues for HCl and LiH diatomic molecules for a special case of the Kratzer and screened Kratzer potential and the results obtained were in excellent agreement with the report of other researchers in the literature

Thermodynamic properties and mass spectra of a quarkonium system with Ultra Generalized Exponential–Hyperbolic Potential

Communication in Physical Science, 2021, 7(2): 97-114 Authors: Etido. P. Inyang, J. E. Ntibi, E. A. Ibanga, F. Ayedun, E. E. Ibekwe, E. S. William and I.O. Akpan Received 28 May 2021/Accepted 13 May 2021 We solved the N-dimensional Klein-Gordon equation analytically using the Nikiforov-Uvarov method to obtain the energy eigenvalues and corresponding wave function in terms of Laguerre polynomials with the ultra-generalized exponential –hyperbolic potential. The results were applied for calculating the mass spectra of heavy mesons including charmonium () and bottomonium () for different quantum states. Also, thermodynamic properties such as free energy, mean energy, entropy, and specific heat were obtained. The data obtained in the study was in excellent agreement with experimental results and with results obtained from others with a maximum error of  0.0059 GeV

Thermal Properties and Mass Spectra of Heavy Mesons in the Presence of a Point-Like Defect

In this research, the radial Schr¨odinger equation is solved analytically using the Nikiforov-Uvarov method with the Cornell potential. The energy spectrum and the corresponding wave function are obtained in close form. The effect of Topological Defect on the thermal properties and mass spectra of heavy mesons such as charmonium and bottomonium are studied with the obtained energy spectrum. It is found that the presence of the Topological Defect increases the mass spectra and moves the values close to the experimental data. Our results agreed with the experimental data and are seen to be improved when compared with other works

Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration Method

The nonrelativistic treatment of the Varshni–Shukla potential (V–SP) in the presence of magnetic and Aharanov–Bohm fields is carried out using the asymptotic iteration method (AIM). The energy equation and wave function are derived analytically. The energy levels are summed to obtain the partition function, which is employed to derive the expressions for the thermomagnetic properties of the V–SP. These properties are analyzed extensively using graphical representations. It is observed that in the various settings of the analysis, the system shows a diamagnetic characteristic, and the specific heat capacity behavior agrees with the recognized Dulong–Petit law, although some slight anomaly is observed. This irregular behavior could be attributed to a Schottky anomaly. Our findings will be valuable in a variety of fields of physics, including chemical, molecular and condensed matter physics, where our derived models could be applied to study other diatomic molecules and quantum dots, respectively