  We discuss the possible signatures of superfluidity induced by the Feshbach
resonance in ultracold gas of fermion atoms. Approaching the phase transition
from above there appear various manifestations of the gradually emerging order
parameter, but yet the long range coherence is not established due to strong
quantum fluctuations. The single particle excitation spectrum becomes gapped
while at the same time the pair excitations are characterized by the narrow
quasiparticle peak surrounded by the incoherent background. This quasiparticle
shows up certain collective features such as the remnant of the "first sound"
which at Tc spreads down to low momenta. Presence of this Goldstone mode is the
most unambiguous proof for appearance of the superfluid state. We discuss how
such mode can be detected experimentally.
