  We calculate the electric dipole moments (EDM) of the neutral Hg(199) atom,
deuteron, nucleons and neutral hyperons Lambda, Sigma(0) and Xi(0) in the
framework of a generic SUSY model without R-parity conservation (RPV SUSY) on
the basis of the SU(3) version of chiral perturbation theory (ChPT). We
consider CP-violation in the hadronic sector induced by the chromoelectric
quark dipole moments and CP-violating 4-quark effective interactions. From the
null experimental results on the neutron and Hg(199) atom EDMs we derive limits
on the imaginary parts of certain products Im(lambda' lambda'*) of the
trilinear RPV-couplings and demonstrate that they are more stringent than those
existing in the literature. Using these limits we give predictions for the EDMs
of neutral hyperons.
  We also estimate the prospects of future storage ring experiments on the
deuteron EDM and show that the expected improvement of the above limits in
these experiments may reach several orders of magnitude.
