  Quark masses are of great prominence in high-energy physics. In this paper,
we have studied the heavy meson systems via solving the Lippmann-Schwinger
equation by using the Martin potential for heavy quark masses. We have also
attempted to use Martin potential to find an acceptable mass spectrum for heavy
quarkonia. We obtained this spectrum via minimal phenomenological model (M.
Melles, Phys. Rev. D \textbf{62}: 074019 2000). The mass spectra for $b\bar{b}$
and $c\bar{c}$ are calculated without taking into account the relativistic
corrections and spin-dependent effects. The obtained mass spectra turn out to
fit the experimental findings. By using the conventional spectrum, we extract
the pole mass of heavy quarks and use it along with the relation between
$\overline{MS}$ mass (modified minimal subtraction scheme) and the on-shell
quark mass to find $\overline{MS}$ mass for these quarks. The obtained results
for $\overline{MS}$ mass are in good agreement with corresponding values
reported in the literature.
