at finite values of the coupling constant $ g $, is not necessarily degenerate in $ m $ (unlike at weak coupling). Thus investigations carried out with more general trial ground states (allowing, for example, for mixing of $ s $ and $ d $ symmetries) have to be carried out.

Superconducting critical temperature for exotic pairs\[SEC-Tc\]
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When the attraction is strong, fluctuations around the saddle-point configurations of the fields are important to determine the low-lying excitations of the BCS ground state [@Alexandrov-Rubin-93; @Engelbrecht-Randeria-SaDeMelo-97] as well as to describe the superconducting instability at $ T_{c} $ [@Zwerger-92; @SaDeMelo-Randeria-Engelbrecht-93; @Zwerger-97]. Our interest here is in the later, as we wish to see whether such instability can correspond, in the strong-coupling, low-density limit, to the formation of a BE condensate of *exotic* pairs.

Just above $ T_{c} $, the partition function (\[Z with Seff\]) is given by $$\label{Z equals Z0 times dZ}
Z=Z_{0}\times \delta Z$$ where $ Z_{0}=\exp \left\{ -S\left[ 0,0\right] \right\}  $ corresponds to a free electron gas while $ \delta Z=\int D\left[ \Delta ^{*},\Delta \right] \exp \left\{ S^{(2)}_{eff}\left[ \Delta ^{*},\Delta \right] \right\}  $ is the contribution from PP just above $ T_{c} $. The normal state is composed of 