  We reanalyze the contributions to neutrinoless double beta ($\znbb$) decay
from supersymmetry with explicit breaking of R-parity. Although we keep both
bilinear and trilinear terms, our emphasis is put on bilinear R-parity breaking
terms, because these mimic more closely the models where the breaking of
R-parity is spontaneous. Comparing the relevant Feynman diagrams we conclude
that the usual mass mechanism of double beta decay is the dominant one. From
the non-observation of $\znbb$ decay we set limits on the bilinear R-parity
breaking parameters of typically a (few) 100 $keV$. Despite such stringent
bounds, we stress that the magnitude of R-parity violating phenomena that can
be expected at accelerator experiments can be very large, since they involve
mainly the third generation, while $\znbb$ decay constrains only the first
generation couplings.

High Energy Physics - Phenomenology