Numerical Solutions of a Three-Dimensional Schro ̈dinger Equation for a Non–Relativistic Quark Model

Authors

M. Allosh, Physics Department, Faculty of Science, South Valley University, 83523 Qena, EgyptFollow
M. S. Abdelaal, Physics Department, Faculty of Science, South Valley University, 83523 Qena, EgyptFollow
F. Alshowaikh, Arts and Science College, Ahlia University, P.O. Box 10878, Manamma, Kingdom of BahrainFollow
A. Ismail, Department of Physics, Al–Azhar University, 71524 Assiut, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

An accurate bound state eigenvalues are evaluated and plotted utilizing the non–relativistic quark model by using three different methods. The methods are employed perfectly within the three-dimensional time–independent Schro ̈dinger equation. Therefore, developing an effective technique to manipulate this well–known equation is the main reason for publishing this study. In this regard, an extensive comparison of the calculated numerical approaches with experimental data was conducted. In most cases, the three considered methods reflected optimal results for heavy mesonic family members by satisfying the minimization condition of χ2 values for each.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170306

Recommended Citation

Allosh, M.; S. Abdelaal, M.; Alshowaikh, F.; and Ismail, A. (2023) "Numerical Solutions of a Three-Dimensional Schro ̈dinger Equation for a Non–Relativistic Quark Model," Applied Mathematics & Information Sciences: Vol. 17: Iss. 3, Article 6.
DOI: http://dx.doi.org/10.18576/amis/170306
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss3/6