  We consider the low energy collective mode spectrum of a superfluid Fermi gas
in a spherical trap in the collisionless regime. Using a self-consistent
random-phase approximation, the effects of superfluidity on modes of dipole and
quadrupole symmetries are systematically examined. The spectrum is calculated
for varying pairing strength and temperature and we identify several spectral
features such as the emergence of Goldstone modes that can be used to detect
the onset of superfluidity. Our analysis is relevant for present experiments
aimed at observing a superfluid phase transition in trapped Fermi gases.
