  We consider a Dark Matter candidate particle of spin 3/2 with neutrino-like
Standard Model strength interactions. In the Majorana case, the particle can
account for all of the Dark Matter for a range of masses between 70-160 GeV,
depending on the strength of the Higgs couplings. The elementary spin-dependent
cross section on the nucleon is calculated to be 1.7 x 10^-2 pb, and does not
depend on the mass or any additional parameters. The Dirac case is excluded by
the very large coherent cross section. The amplitude at the nuclear level is of
the purely isovector form. We make detailed predictions for differential and
total rates of scattering on a variety of nuclear targets of interest to the
current direct detection experiments. For heavy targets the annual modulation
amplitude is predicted to be negative, which may help to determine the mass of
the WIMP if and when data become available.
