Strong decays of the $Ξ_b(6227)$ as a $Σ_b\bar{K}$ molecule

Abstract: We study the strong decays of the newly observed $\Xi_b(6227)$ assuming that it is a pure $\Sigma_b\bar{K}$ molecular state. Considering four possible spin-parity assingments $J^P=1/2^{\pm}$ and $3/2^{\pm}$, the partial decay widths of the $\Sigma_b\bar{K}$ molecular state into $\Lambda_b\bar{K}$, $\Xi_b\pi$, and $\Xi_b^{'}\pi$ final states through hadronic loops are evaluated with the help of the effective Lagrangians. In comparison with the LHCb data, the spin-party $1/2^-$ assignment is preferred while those of $J^P=1/2^{+}$ and $J^P=3/2^{\pm}$ are disfavored. In addition, we show that the two allowed decay modes $\Lambda_b\bar{K}$ and $\Xi_b\pi$ of the $\Xi_b(6227)$, being a $S$-wave $\Sigma_b\bar{K}$ molecular state, have almost equal branching ratios, consistent with the data.