We suggest the variation of charmonium production rate with Feynman x(F) in
heavy ion collisions as a novel and sensitive probe for the properties of
the created matter. Final state interactions with the comoving matter creat
e a minimum at x(F) = 0, which is especially deep and narrow if a quark-glu
on plasma is formed. While a strong effect is predicted at SPS. at the RHIC
energy it overlaps with the expected peak formed by shadowing effects and
needs comparison with pA data. We predict a steep dependence on centrality
and suggest that this new probe is complementary to the dependence on trans
verse energy, and is more sensitive to a scenario of final state interactio
ns.