  We present the current results of our simulations of N=1 supersymmetric
Yang-Mills theory on a lattice. The masses of the gluino-glue particle, the
a-eta-prime, the a-f0 meson, and the scalar glueball are obtained at finer
lattice spacing than before, and extrapolations towards vanishing gluino mass
are made. The calculations employ different levels of stout smearing. The
statistical accuracy as well as the control of finite size effects and lattice
artefacts are better than in previous investigations. Taking the statistical
and systematic uncertainties into account, the extrapolations towards vanishing
gluino mass of the masses of the fermionic and bosonic states in our present
calculations are consistent with the formation of degenerate supermultiplets.
