  We consider atomic Fermi gases where Feshbach resonances can be used to
continuously tune the system from weak to strong interaction regime, allowing
to scan the whole BCS-BEC crossover. We show how a probing field transferring
atoms out of the superfluid can be used to detect the onset of the superfluid
transition in the high-$T_c$ and BCS regimes. The number of transferred atoms,
as a function of the energy given by the probing field, peaks at the gap
energy. The shape of the peak is asymmetric due to the single particle
excitation gap. Since the excitation gap includes also a pseudogap
contribution, the asymmetry alone is not a signature of superfluidity.
Incoherent nature of the non-condensed pairs leads to broadening of the peak.
The pseudogap and therefore the broadening decay below the critical
temperature, causing a drastic increase in the asymmetry. This provides a
signature of the transition.
