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We apply matrix Numerov's method to obtain the radial wave functions; from these wave functions we calculate the root mean square radius ms r and β coefficients of bottomonium bb. The obtained results have implications for decay constants, decay widths and differential cross sections of heavy mesons.

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In the current paper, we propose two types of quark-antiquark interactions, which may be tailored to describe various meson sectors. The interactions contain Quantum Chromodynamics (QCD) inspired components, such as the Coulomb-like interaction, the confinement linear potential, and the spin-spin interaction. Our scheme relies on the non-relativistic quark model through the introduction of two derived QCD potential models. The application of the two proposed potentials resulted in spectra for bound states, which are compared with published experimental data. We found that one of the two potentials is favored over the other in terms of high precision comparisons.