only the centre-of-mass motion of the PP existing above $ T_{c} $ (represented by their total momentum $ \hbar \mathbf{q} $) but also the freedom that they have to change their angular momentum (represented by the labels $ l,m $). On the other hand in Refs. [@Nozieres-SchmittRink-85; @Zwerger-92; @SaDeMelo-Randeria-Engelbrecht-93; @Zwerger-97] these internal degrees of freedom were not taken into account. In effect, the interaction potentials employed in Ref. [@Nozieres-SchmittRink-85; @Zwerger-92; @SaDeMelo-Randeria-Engelbrecht-93] had the form (\[angle decomp of V with wc approx\]) with $ l_{max}=0 $ and, therefore, could only lead to pairing in the $ s $ state; similarly, the potential in Ref. [@Zwerger-97] was chosen so that it could only lead to pairing in a particular $ d $-wave state, with $ d_{x^{2}-y^{2}} $ symmetry. But for strong *central* attraction one expects that, just above $ T_{c} $, preformed pairs exist with all values of the angular momentum quantum number, as reflected by Eq. (\[inv Gamma\]). The question that we are trying to answer here is what pairs will form a BE condensate at $ T_{c} $; in particular, whether they can have $ l>0 $.

As usual the “$ T_{c} $ equation” is found as the temperature at 