  We revisit the old problem of exotic superconductivity as Cooper pairing with
finite angular momentum emerging from a central potential. Based on some
general considerations, we suggest that the phenomenonn is associated with
interactions that keep electrons at some particular, finite distance (r_{0}),
and occurs at a range of intermediate densities (n\sim 1/r_{0}^{3}). We discuss
the ground state and the critical temperature in the framework of a standard
functional-integral theory of the BCS to Bose crossover. We find that, due to
the lower energy of two-body bound states with (l=0), the rotational symmetry
of the ground state is always restored on approaching the Bose limit. Moreover
in that limit the critical temperature is always higher for pairs with (l=0.)
The breaking of the rotational symmetry of the continuum by the superfluid
state thus seems to be a property of weakly-attractive, non-monotonic
interaction potentials, at intermediate densities.
