SU(3)F analysis for beauty baryon decays

Abstract

Abstract We perform a general SU(3)F analysis of $$ b\to c\overline{c}s(d) $$ b → c 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 $$ \left|\mathcal{A}\left({\Xi}_b^0\to \Lambda S\right)/\mathcal{A}\left({\Xi}_b^0\to {\Xi}^0S\right)\right|\approx 1/\sqrt{6}\left|{V}_{cb}^{\ast }{V}_{cd}/\left({V}_{cb}^{\ast }{V}_{cs}\right)\right| $$ A Ξ b 0 → Λ S / A Ξ b 0 → Ξ 0 S ≈ 1 / 6 V cb ∗ V cd / V cb ∗ V cs and $$ \left|\mathcal{A}\left({\Lambda}_b\to {\Sigma}^0S\right)/\mathcal{A}\left({\Lambda}_b\to \Lambda S\right)\right|\sim 0.02 $$ A Λ b → Σ 0 S / A Λ b → Λ S ∼ 0.02 . These two relations have been recently probed by LHCb for the case of S = J/ψ. The former agrees with the measurement, while for the latter our prediction lies close to the upper bound set by LHCb.