“…Some claims have recently been made, however, to the effect that the WMAP relic abundance constraint can be satisfied in the hyperbolic branch of the allowed SUSY parameter space, even though the neutralino is then primarily a higgsino [33]. We will not restrict ourselves to supersymmetry and we will adopt the optimistic view that the detection rates due to the spin may be large enough to be exploited by the experiments, see, e.g., [30,34,35] . Such a view is further encouraged by the fact that, unlike the scalar interaction, the axial current allows one to populate excited nuclear states, provided that their energies are sufficiently low so that they are accessible by the low energy LSP, a prospect proposed long time ago [36] and considered in some detail by Ejiri and collaborators [37].…”