  Several baryons containing a heavy b-quark, the b-baryons, have been
discovered. The charmless two-body decays of b-baryons can provide a new
platform for CP violating studies in a similar way as charmless two-body decays
of B-meson. In b-baryon decays there are new CP violating observable related to
baryon polarization. We show that in the flavor $SU(3)$ limit there exist
relations involve different combinations of the decay amplitudes compared with
those in CP violating rate asymmetry. These new relations therefore provide
interesting tests for the mechanism of CP in the standard model (SM) and flavor
$SU(3)$ symmetry. Future data from LHCb can test these relations.
