  Finite temperature lattice QCD indicates that the charmonium ground state
J/psi can survive in a quark-gluon plasma up to 1.5 T_c or more, while the
excited states chi_c and psi-prime are dissociated just above T_c. We assume
that the chi_c suffers the same form of suppression as that observed for the
psi-prime in SPS experiments, and that the directly produced J/psi is
unaffected at presently available energy densities. This provides a
parameter-free description of J/psi and psi-prime suppression which agrees
quite well with that observed in SPS and RHIC data.
