  We use the Drell-Yan differential distribution dN_{DY}^{AB}/dE_T in
high-energy nucleus-nucleus collisions to obtain a relation between the
transverse energy E_T and the impact parameter b. Such a relation is then
utilized to study the transverse-energy dependence of J/psi production in Pb-Pb
collisions, using the J/psi absorption model presented previously. The
anomalous Pb-Pb suppression data at 158A GeV can be explained if one assumes
the occurrence of a new phase of strong J/psi absorption when the energy
density exceeds 4.2 GeV/fm^3. The results are extended to make predictions for
J/psi production at higher collision energies. It is found that J/psi survival
probabilities reach the lowest survival limit when the nucleon-nucleon
center-of-mass energies is greater than about 35 GeV.
