The Effect of Topological Defect on the Mass Spectra of Heavy and Heavy-Light Quarkonia

In this work, the comparison of the mass spectra of heavy quarkonium system with an interacting potential (Class of Yukawa potential) was studied. The Schrodinger equation is analytically solved using Nikiforov- Uvarov (NU) method and series expansion method (SEM). The approximate solutions of the eigen energy equation and corresponding eigenfunction in terms of Laguerre polynomials were obtained using the NU method and the solutions of the eigen energy equation were also obtained with the SEM. The mass spectra for heavy quarkonium system (HQS) for the potential under study were obtained for bottomonium and charmonium HQS. We compared the results obtained between NU and SEM. It was noticed that SEM solutions yield mass spectra very close to experimental data compared to solutions with NU method. The obtained results were also compared with works by some other authors and were found to be improved. This study can be extended by using other exponential-type potential models with other analytical approach and a different approximation schemes to obtain the mass spectra of heavy quarkonium system. The relativistic properties using Klein-Gordon or Dirac equations can be explored to obtain the mass spectra of light quarkonia. Finally, the information entailed in the normalized wave-functions can also be studied.

“…We calculate mass spectra of the heavy quarkonium system such as charmonium and bottomonium that have the quark and antiquark flavor, and apply the following relation [51][52][53]…”

Section: Results and Discussion 41 Resultsmentioning

confidence: 99%

Comparative Study of the Mass Spectra of Heavy Quarkonium System with an Interacting Potential Model

Obu,

Inyang,

William

et al. 2023

“…We hope to extend this work to hot and dense media, mass spectra of heavy and heavy-light mesons, and/or the present of magnetic field as future works as in Refs. [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Discussionmentioning

confidence: 99%

The Fractional Schrödinger Equation with the Generalized Woods-Saxon Potential

M.¹,

Inyang²

2023

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 α=β=1. Therefore, the present results play important role in molecular chemistry and nuclear physics.

“…The Nikiforov-Uvarov method is a really popular method amongst mathematical scientist and related discipline. Several authors have used this method to solve similar problems of interest [10][11][12][13][14][15][16][17][18][19][20]. Even through the method is quite popular, it will be useful to highlight some details, so as to make our paper self-contained.…”

Section: The Modelmentioning

confidence: 99%

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

Inyang,

Ali,

Endut

et al. 2024

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.