Strong decays of multi-strangeness baryon resonances in the quark model

TL;DR

This paper investigates the decay properties of multi-strangeness baryon resonances using a relativistic constituent quark model, providing insights into their internal structures and quantum numbers, and comparing results with experimental data.

Contribution

It offers a systematic analysis of decay widths and ratios of $\, ext{Xi}$ and $\, ext{Omega}$ resonances, supporting their quark model interpretations and aiding future experimental identification.

Findings

Large decay widths for Roper-like multi-strangeness resonances.

Decay ratio for $\, ext{Omega}(2012)$ consistent with $J^P=3/2^-$ assignment.

Support for $\, ext{Omega}(2012)$ as a three-quark state.

Abstract

Decay properties of multi-strangeness $\Xi$ and $\Omega$ baryon resonances are investigated within the constituent quark model by including relativistic corrections. The strong decay widths of various $\Xi$ and $\Omega$ resonances are computed and tested for internal quark configurations to pin down their spin-parity ($J^P$) quantum numbers and internal structures. We found that the Roper-like resonances in the multi-strangeness sector have large decay widths bearing resemblances to their siblings in light and heavy baryon sectors. In addition, we obtained the decay ratio for the $\Omega(2012)$ as $\Gamma{(\Omega\to \Xi \bar{K} \pi)} / \Gamma{(\Omega\to \Xi \bar{K})}=4.5\%$, which is consistent with the experimental data when $J^P=3/2^-$ is assigned. This observation holds the possibility that the $\Omega(2012)$ could naturally be explained as a three-quark state in the quark model. The decays of other low-lying $\Xi$ and $\Omega$ resonances are systematically analyzed, which would be useful to unveil the structure of these resonances in future experiments.