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.

Highlights

  • During the past decade, many new narrow baryon resonances containing a b quark, such as Λbð5912Þ, Λbð5920Þ, Σbð5815Þ, ΣÃb, and Ξb, were discovered experimentally [1,2,3]

  • We study the strong two-body final states ΛbK, Ξbπ, and decays of the ΞÃb to the Ξ0bπ assuming that it is a K Σb molecular state

  • For the case of JP 1⁄4 1=2þ, the predicted total decay width is much smaller than the experimental total width, which disfavors such a spin-parity assignment for the ΞÃb in the K Σb molecular picture

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Summary

INTRODUCTION

Many new narrow baryon resonances containing a b quark, such as Λbð5912Þ, Λbð5920Þ, Σbð5815Þ, ΣÃb, and Ξb, were discovered experimentally [1,2,3]. In the heavy quark light diquark model, based on the analysis of the mass spectrum and the two-body Okubo-Zweig-Iizuka (OZI) allowed strong decays, the ΞÃb was suggested to be a 1P Ξ0b state with spin-parity JP 1⁄4 3=2− or JP 1⁄4 5=2− [12]. [14] the mass and two-body strong decays of the ΞÃb were studied in the QCD sum rules approach and it was shown that the Ξbð6227Þ might be a 1P orbitally excited Ξbð5955Þ state with JP 1⁄4 3=2−. 440 MeV, is large enough to excite a light quark-antiquark pair to form a molecular state One way to distinguish the two scenarios is to study the two-body strong decay widths of the ΞÃb baryon. III, followed by a short summary in the last section

FORMALISM AND INGREDIENTS
RESULTS AND DISCUSSIONS
SUMMARY
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