  We estimate differential rapidity cross sections for $J/\Psi$ and
$\Upsilon(1S)$ production via Cu-Cu and Au-Au collisions at RHIC, and the
relative probabilities of $\Psi'(2S)$ to $J/\Psi$ production via p-p collisions
using our recent theory of mixed heavy quark hybrids, in which the $\Psi'(2S)$
mesons have approximately equal normal $q\bar{q}$ and hybrid $q\bar{q}g$
components. We also estimate the relative probabilities of $\Psi'(2S)$ to
$J/\Psi$ production via Cu-Cu and Au-Au collisions, which will be measured in
future RHIC experiments. We also review production ratios of $\Upsilon(2S)$ and
$\Upsilon(3S)$ to $\Upsilon(1S)$ in comparison to recent experimental
results.This is an extension of our recent work on p-p collisions for possible
tests of the production of Quark-Gluon Plasma via A-A collisions at BNL-RHIC.
