SU(3)$_F$ Analysis for Beauty Baryon Decays

Abstract

We perform a general SU(3)$_F$ analysis of $b\rightarrow c\bar{c}s(d)$ decays of members of the beauty baryon antitriplet to a member of the light baryon octet and a singlet. Under several reasonable assumptions we found $\left\vert \mathcal{A}(\Xi_b^0\rightarrow \Lambda S)/ \mathcal{A}(\Xi_b^0\rightarrow \Xi^0 S)\right\vert\approx 1/\sqrt{6}\, \left\vert V_{cb}^* V_{cd} / (V_{cb}^* V_{cs})\right\vert$ and $\left\vert\mathcal{A}(\Lambda_b\rightarrow \Sigma^0 S)/\mathcal{A}(\Lambda_b\rightarrow \Lambda S)\right\vert \sim 0.02$. These two relations have been recently probed by LHCb for the case of $S=J/\psi$. The former agrees with the measurement, while for the latter our prediction lies close to the upper bound set by LHCb.