  The energy eigenvalues with any l-states and mass of heavy quark- antiquark
system (quarkonium) are obtained by using Asymptotic Iteration Method in the
view of non-relativistic quantum chromodynamics, in which the quarks are
considered as spinless for easiness, and are bounded by Cornell potential. A
semi-analytical formula for energy eigenvalues and mass is achieved via the
method in scope of the perturbation theory. The accuracy of this formula is
checked by comparing the eigenvalues with the ones numerically obtained in this
study, and with exact ones in literature. Furthermore, semi-analytical formula
is applied to some meson systems for comparing the masses with the experimental
data.
