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Inspired by the LHCb's newest observation of two new excited $\Xi_b^0$states, we systematically study the strong decays of the low-lying $\lambda$-and $\rho$-modes $1D$-wave $\Xi_{b}$ and $\Xi^{'}_{b}$ baryons using the chiralquark model within the $j$-$j$ coupling scheme. Based on the measured massesand strong decay properties of $\Xi_{b}(6327)^{0}$ and $\Xi_{b}(6333)^{0}$, weexplain the two states as the $\lambda$-mode $1D$ $\Xi_{b}$ states with $J^{P}=3/2^{+} $ and $ J^{P}=5/2^{+} $, respectively. Moreover, under thisassignment, another dominant decay channel of $\Xi_{b}(6327)^{0}$ is$\Xi'_b\pi$ and that of $\Xi_{b}(6333)^{0}$ is $\Xi_b^*\pi$. Hence, the decaymodes $\Xi'_b\pi$ and $\Xi_b^*\pi$ may be another ideal channels as well todecode the inner structure of $\Xi_{b}(6327)^{0}$ and $\Xi_{b}(6333)^{0}$,respectively. For other unseen $1D$ $\Xi_b$ and $\Xi'_b$ states, our resultsindicate: (i) $\Xi_b|J^P=\frac{3}{2}^+,2\rangle_{\rho}$ and$\Xi_b|J^P=\frac{5}{2}^+,2\rangle_{\rho}$ are most likely to be narrow stateswith a width of $\Gamma\simeq(12-30)$ MeV, and dominantly decay into$\Sigma_bK$ and $\Sigma^*_bK$, respectively; (ii) The $1D$ $\Xi'_b$ baryons arenot broad states, and the widths vary in the range of $\Gamma\simeq(14-46)$MeV. These states have a good potential to be observed in their dominant decayprocesses.

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