Evidence for the existence of exotic, pentaquark baryons was first found in
the invariant mass spectrum of a baryon-meson pair, with the baryon in the
octet of flavor SU(3). Exotic pentaquarks may also decay into members of the
spin-3/2 baryon decuplet. We calculate relations between decay rates of the
exotic pentaquark into a baryon decuplet and an octet of pseudoscalar mesons
based on SU(3) flavor symmetry, including the leading flavor symmetry breaking
term. We consider all possible representations for an exotic pentaquark,
namely, that it belongs to either a \bar{10}, 27, or 35 representation of
flavor SU(3). In addition, we use the approximate SU(6) spin-flavor symmetry of
baryons to derive relations between the reduced matrix elements of our
calculation and those of an existing analogous calculation for decays into the
baryon octet. By comparing several decay rates of exotics into both octet and
decuplet baryons, our results could be used to elucidate the SU(3) nature of
pentaquarks.Comment: 22 pages, no figures, a grammatical mistake has been correcte
