  We calculate the electric dipole moments (EDM) of the neutral Hg(199) atom,
neutron and deuteron within a generic R-parity violating SUSY model (RPV SUSY)
on the basis of a one-pion exchange model with CP-odd pion-nucleon
interactions. We consider two types of the RPV SUSY contributions to the above
hadronic EDMs: via the quark chromoelectric dipole moments (CEDM) and
CP-violating 4-quark interactions. We demonstrate that the former contributes
to all the three studied EDMs while the latter appears only in the nuclear EDMs
via the CP-odd nuclear forces. We find that the RPV SUSY induced 4-quark
interactions arise at tree level through the sneutrino exchange and involve
only s and b quarks. Therefore, their effect in hadronic EDMs is determined by
the strange and bottom-quark sea of the nucleon. From the null experimental
results on the hadronic EDMs we derive the limits on the imaginary parts of
certain products Im(lambda'* lambda') of the trilinear RPV-couplings and show
that the currently best limits come from the Hg(199) EDM experiments. We
demonstrate that some of these limits are better than those existing in the
literature. We argue that future storage ring experiments on the deuteron EDM
are able to improve these limits by several orders of magnitude.
