We use the method of light-cone sum rules to study decay properties of $P$-wave bottom baryons belonging to the $SU(3)$ flavor $\mathbf{ 6}_F$ representation. In Ref.~\cite{ Cui:2019dzj} we have studied their mass spectrum and pionic decays, and found that the $\Sigma_{ b}(6097)$ and $\Xi_{ b}(6227)$ can be well interpreted as $P$-wave bottom baryons of $J^P = 3/2^-$. In this paper we further study their decays into ground-state bottom baryons and vector mesons. We propose to search for a new state $\Xi_b({ 5/2}^-)$, that is the $J^P = 5/2^-$ partner state of the $\Xi_{ b}(6227)$, in the $\Xi_b({ 5/2}^-) \to \Xi_b^{ *}\rho \to \Xi_b^{ *}\pi\pi$ decay process. Its mass is $12 \pm 5$~MeV larger than that of the $\Xi_{ b}(6227)$.
Categories: hep-ph hep-ex hep-lat