Thermal properties, mass spectra and root mean square radii of heavy quarkonium system with class of inversely quadratic Yukawa potential

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

“…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.

“…It is utilized in the study of atomic, condensed matter, nuclear, and molecular physics as well as chemical physics [37,38]. Another potential of interest is a newly proposed potential by Inyang et al [39] called the class of inversely quadratic Yukawa potential. This work aims to use the class of inversely quadratic Yukawa plus Hulthén potential (CIQYHP) to obtain bound state approximate solutions to the Schrödinger equation.…”

Section: Introductionmentioning

confidence: 99%

Bound State and Ro-Vibrational Energies Eigenvalues of Selected Diatomic Molecules with a Class of Inversely Quadratic Yukawa Plus Hulthén Potential Model

Faithpraise,

Inyang

2023

The Nikiforov-Uvarov approach is used in this study to solve the Schrödinger equation utilizing a class of inversely quadratic Yukawa plus Hulthén potential model with an approximation to the centrifugal term. The normalized wave function and energy eigenvalue equation were obtained. The numerical bound state for a few diatomic molecules (N2, O2, NO, and CO) for various rotational and vibrational quantum numbers was calculated using the energy equation and the related spectroscopic data. Our results show that, with no divergence between the s-wave and l-wave, the energy eigenvalues are very sensitive to the potential and diatomic molecule properties, suggesting that the approximation approach is appropriate for this set of potentials. The results are consistent with earlier studies in the literature, and we also found four special cases of this potential.