  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 $\Xi_{b}(6227)$.
