  We present microscopic calculations of neutrino propagation in hot neutron
matter above nuclear density within the framework of the Random Phase
Approximation . Calculations are performed for non- degenerate neutrinos using
various Skyrme effective interactions. We find that for densities just above
nuclear density, spin zero sound is present at zero temperature for all Skyrme
forces considered. However it disappears rapidly with increasing temperature
due to a strong Landau damping. As a result the mean-free path is given, to a
good approximation, by the mean field value. Because of the renormalization of
the bare mass in the mean field, the medium is more transparent as compared to
the free case. We find, in contrast, that at several times nuclear density, a
new type of behavior sets in due to the vicinity of a magnetic instability. It
produces a strong reduction of the mean free path. The corresponding transition
density however occurs in a region where inputs from more realistic
calculations are necessary for the construction of a reliable Skyrme type
parametrization.
