  The hyperon-hyperon potentials due to a recent SU(3) Nijmegen soft-core
potential model are incorporated within a relativistic mean field calculation
of strange hadronic matter. We find considerably higher binding energy in bulk
matter compared to several recent calculations which constrain the composition
of matter. For small strangeness fractions, matter is dominated by a
composition of nucleons, Lambdas, and Xis, and the calculated binding energy
closely follows that calculated by using the hyperon potentials of our previous
calculations. For larger strangeness fractions, the calculated binding energy
increases substantially beyond any previous calculation due to a phase
transition into Sigma and Xi dominated matter. We also compare bulk matter
calculations with finite system calculations, again highlighting the
consequences of reducing the Coulomb destabilizing effects in finite strange
systems.
