If a light gluino exists, the lightest gluino-containing baryon, S-0, is a
possible candidate for self-interacting dark matter. In this scenario, the
simplest explanation for the observed ratio Omega (DM)/Omega (b) approximat
e to 6-10 is that m(s0) similar to 900 MeV c(-2); at present, this is not e
xcluded by particle physics. Such an S-0 could be present in neutron stars,
with the hyperon formation serving as an intermediate stage. We calculate
equilibrium compositions and the equation of state for high-density matter
with S-0, and we find that for a wide range of parameters, the properties o
f neutron stars with S-0 are consistent with observations. In particular, t
he maximum mass of a nonrotating star is 1.7- 1.8 M-., and the presence of
S-0 is helpful in reconciling observed cooling rates with hyperon formation
.