The distributions of outgoing protons and charged hadrons in high energy pr
oton-nucleus collisions are described rather well by a linear extrapolation
from proton-proton collisions. This linear extrapolation is applied to pre
cisely measured Drell-Yan cross sections for 800 GeV protons incident on a
variety of nuclear targets. The deviation from linear scaling in the atomic
number A can be accounted for by energy degradation of the proton as it pa
sses through the nucleus if account is taken of the time delay of particle
production due to quantum coherence. We infer an average proper coherence t
ime of 0.4+/-0.1 fm/c. Then we apply the linear extrapolation to measured J
/psi production cross sections for 200 and 450 GeV/c protons incident on a
variety of nuclear targets. Our analysis takes into account energy loss of
the beam proton, the time delay of particle production due to quantum coher
ence, and absorption of the J/psi, On nucleons. The best representation is
obtained for a coherence time of 0.5 fm/c, which is consistent with Drell-Y
an production, and an absorption cross section of 3.6 mb, which is consiste
nt with the value deduced from photoproduction of the J/psi on nuclear targ
ets. Finally, we compare to recent J/psi, data from S+U and Pb+Pb collision
s at the SPS. The former are reproduced reasonably well with no new paramet
ers, but not the latter.