  We calculate the spectral function of the omega meson in nuclear matter at
zero temperature by means of the low-density theorem. The omega N forward
scattering amplitude is calculated within a unitary coupled-channel effective
Lagrangian model that has been applied successfully to the combined analysis of
pion- and photon-induced reactions. While the peak of the omega spectral
distribution is shifted only slightly, we find a considerable broadening of the
omega meson due to resonance-hole excitations. For omega mesons at rest with
respect to the surrounding nuclear medium, we find an additional width of about
60 MeV at saturation density.
