We reanalyze the contributions to neutrinoless double beta (beta beta(0v))
decay from supersymmetry with explicit breaking of R-parity. Although we ke
ep both bilinear and trilinear terms, our emphasis is put on bilinear R-par
ity breaking terms, because these mimic more closely the models where the b
reaking of R-parity is spontaneous. Comparing the relevant Feynman diagrams
we conclude that the usual mass mechanism of double beta decay is the domi
nant one. From the non-observation of beta beta(0v) decay we set limits on
the bilinear R-parity breaking parameters of typically a (few) 100 keV. Des
pite such stringent bounds, we stress that the magnitude of R-parity violat
ing phenomena that can be expected at accelerator experiments can be very l
arge, since they involve mainly the third generation, while beta beta(0v) d
ecay constrains only the first generation couplings. (C) 1999 Elsevier Scie
nce B.V. All rights reserved.