The observed duration of the neutrino pulse from the Supernova 1987A m
ay be used to constrain hypothetical long-range forces coupling neutri
nos and galactic matter. If these forces are mediated by massless vect
or bosons, this can lead to a drastic change in the usual MSW analysis
for the Sun, depending on screening effects by the cosmic neutrino ba
ckground, electrons, protons, or dark-matter particles accumulated ins
ide the Sun.