  We discuss the possibility of a quantum phase transition in ultracold spin
polarized fermionic gases which exhibit a p-wave Feshbach resonace. We show
that when fermionic atoms form a condensate that can be externally tuned
between the BCS and BEC limits, the zero temperature compressibility and the
spin susceptibility of the fermionic gas are non-analytic functions of the
two-body bound state energy. This non-analyticity is due to a massive
rearrangement of the momentum distribution in the ground state of the system.
Furthermore, we show that the low temperature superfluid density is also
non-analytic, and exibits a dramatic change in behavior when the critical value
of the bound state energy is crossed.
