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The $1D$-wave bottom-strange baryons and possible interpretation of $Ξ_{b}(6327)^{0}$ and $Ξ_{b}(6333)^{0}$

Inspired by the LHCb's newest observation of two new excited $Ξ_b^0$ states, we systematically study the strong decays of the low-lying $λ$- and $ρ$-modes $1D$-wave $Ξ_{b}$ and $Ξ^{'}_{b}$ baryons using the chiral quark model within the $j$-$j$ coupling scheme. Based on the measured masses and strong decay properties of $Ξ_{b}(6327)^{0}$ and $Ξ_{b}(6333)^{0}$, we explain the two states as the $λ$-mode $1D$ $Ξ_{b}$ states with $ J^{P}=3/2^{+} $ and $ J^{P}=5/2^{+} $, respectively. Moreover, under this assignment, another dominant decay channel of $Ξ_{b}(6327)^{0}$ is $Ξ'_bπ$ and that of $Ξ_{b}(6333)^{0}$ is $Ξ_b^*π$. Hence, the decay modes $Ξ'_bπ$ and $Ξ_b^*π$ may be another ideal channels as well to decode the inner structure of $Ξ_{b}(6327)^{0}$ and $Ξ_{b}(6333)^{0}$, respectively. For other unseen $1D$ $Ξ_b$ and $Ξ'_b$ states, our results indicate: (i) $Ξ_b|J^P=\frac{3}{2}^+,2\rangle_ρ$ and $Ξ_b|J^P=\frac{5}{2}^+,2\rangle_ρ$ are most likely to be narrow states with a width of $Γ\simeq(12-30)$ MeV, and dominantly decay into $Σ_bK$ and $Σ^*_bK$, respectively; (ii) The $1D$ $Ξ'_b$ baryons are not broad states, and the widths vary in the range of $Γ\simeq(14-46)$ MeV. These states have a good potential to be observed in their dominant decay processes.