Abstract:
In the current paper, we propose two types of quark-antiquar
k(
Q
̄
Q
) interactions, which may be tailored to describe various
meson sectors. The interactions contain Quantum Chromodyn
amics (QCD) inspired components, such as the Coulomb-like i
nteraction,
the confinement linear potential, and the spin-spin interac
tion. Our scheme relies on the non-relativistic quark model
through the
introduction of two derived QCD potential models and the mat
rix method numerical scheme. The application of the two prop
osed
potentials resulted in spectra for quark-antiquark bound s
tates, 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.
Keywords:
Matrix method, Quarkonium, Charmonium, Heavy mesons, Radi
al Schrdinger equation.