  The heavy quark potential and particularly the one proposed by Richardson to
incorporate both asymptotic freedom and linear confinement is analyzed in terms
of a generalized Borel Transform recently proposed. We were able to obtain, in
the range of physical interest, an approximate analytical expression for the
potential in coordinate space valid even for intermediate distances. The
deviation between our approximate potential and the numerical evaluation of the
Richardson's one is much smaller than $\Lambda $ of QCD. The $c\overline{c}$
and $b\overline{b}$ quarkonia energy levels agree reasonably well with
experimental data for $c$ and $b$ masses in good agreement with the values
obtained from experiments.
