  While presently available p-A data observe that the nuclear dependence of
$J/\psi$ and $\psi^{\prime}$ production is the same within errors, we show that
different nuclear dependence of $J/\psi$ and $\psi^{\prime}$ production in the
kinematic region uncovered by the present p-A data can be predicted based on
two different nuclear absorption scenarios. It is found that the predicted
production ratio $\sigma (\psi^{\prime})/\sigma (J/\psi)$ at positive $x_F$ in
A-p collisions is mainly determined by nuclear absorption, and hence allows
direct experimental test of nuclear absorption scenarios.

High Energy Physics - Phenomenology