We show that in a large class of supersymmetric SU(2)(L) X SU(2)(R) X SU(4)
(c) models with the seesaw mechanism for neutrino masses and an R-parity-co
nserving vacuum there are diquark Higgs bosons with masses (M-qq) near the
weak scale even though the scale of SU(2)(R) X SU(4)(c) symmetry breaking i
s around 10(10) GeV. This happens because these masses (M-qq) arise out of
higher dimensional operators needed to stabilize the charge-conserving vacu
um in the model. This feature has the interesting implication that the Delt
a B = 2 processes such as neutron-antineutron oscillations can have observa
ble rates while at the same time yield neutrino masses in the range of curr
ent interest. [S0556-2821(98)05423-X].