Bottomonia Under Effect Three Inspired QCD Potentials in the Framework of Non-Relativistic Quark Model

In this paper, we have studied the spectrum of bottomonium mesons behavior under the effect of three types of potentials inspired by Quantum Chromodynamics. In addition, other properties like Hyperfine splitting behavior, and Fine splitting behavior have been studied. We used these potential models within the non-relativistic quark model to present this study. We found that our expectations are consistent with experimental data and other theoretical works as well we presented new conclusions regarding the spectrum of unseen bottomonium states for S, P, and D-wave bottomonia. And we have expected other their characteristics

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

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

On the Matrix Method Algorithm of Doubly Heavy Meson to Calculate Masses Spectra

This work is devoted to propose a new solution to Schro ̈dinger equation into a representation of the kinetic energy operator on a discrete lattice. The matrix method is illustrated by studying stability of some heavy charm mass spectra. Theoretical calculations are in good agreements with newly published experimental data