The effects of magnetic interaction between vector mesons and nucleons
on the propagation (mass and width) of the rho meson, in particular m
oving through very dense nuclear matter, is studied and the modificati
ons, qualitative and quantitative, due to the relevant collective mode
s (zero-sound and plasma frequencies) of the medium discussed. It is s
hown that the rho mesons produced in high-energy nuclear collisions wi
ll be on the verge of instability in the region of sufficiently dense
nuclear matter, in the presence of such an interaction.