<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi>D</mml:mi></mml:math> -wave bottom-strange baryons and possible interpretation of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Ξ</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>6327</mml:mn><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mn>0</mml:mn></mml:msup></mml:math> and <mml:math xmlns:mml…

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