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The $Ω(2380)$ as a partner of the $Ω(2012)$

Yi-Yao Li, Albert Feijoo, Eulogio Oset

TL;DR

This work tests whether the Ω(2380) can be understood as a hadronic molecule generated by vector-meson–decuplet-baryon dynamics. Using a unitarized effective-field-theory framework, it solves the Bethe–Salpeter equation with a potential from local hidden gauge vector exchanges for the channels $\bar{K}^*\Xi^*(1530)$, $\omega\Omega$, and $\phi\Omega$, and accounts for decays via box diagrams. The calculation finds a bound state near $M_R\approx2380$ MeV dominated by the $\bar{K}^*\Xi^*$ component, with a total width around $\Gamma \sim$ 50 MeV that is sensitive to the off-shell regulator; partial widths into $\bar{K}Ξ^*$, $\bar{K}^*Ξ$, and $\bar{K}Ξπ$ are in the ranges consistent with experimental constraints. Overall, the results support a molecular interpretation of Ω(2380) and provide concrete predictions for decay channels and observables (e.g., femtoscopic correlations) to further validate the picture.

Abstract

We present a study of the $Ω(2380)$ resonance and show that it is consistent with a dynamically generated state arising from the $\bar{K}^*Ξ^*$, $ωΩ$, and $φΩ$ interactions. In this picture, the $Ω(2380)$ is analogous to the $Ω(2012)$, which is generated from the $\bar{K}Ξ^*$ and $ηΩ$ channels. The resulting mass, total width, and partial decay widths into the $\bar{K}Ξ^*$ and $\bar{K}^*Ξ$ channels are compatible with the available experimental data. We also discuss possible experimental observables that could provide further insight into the nature of this state.

The $Ω(2380)$ as a partner of the $Ω(2012)$

TL;DR

This work tests whether the Ω(2380) can be understood as a hadronic molecule generated by vector-meson–decuplet-baryon dynamics. Using a unitarized effective-field-theory framework, it solves the Bethe–Salpeter equation with a potential from local hidden gauge vector exchanges for the channels , , and , and accounts for decays via box diagrams. The calculation finds a bound state near MeV dominated by the component, with a total width around 50 MeV that is sensitive to the off-shell regulator; partial widths into , , and are in the ranges consistent with experimental constraints. Overall, the results support a molecular interpretation of Ω(2380) and provide concrete predictions for decay channels and observables (e.g., femtoscopic correlations) to further validate the picture.

Abstract

We present a study of the resonance and show that it is consistent with a dynamically generated state arising from the , , and interactions. In this picture, the is analogous to the , which is generated from the and channels. The resulting mass, total width, and partial decay widths into the and channels are compatible with the available experimental data. We also discuss possible experimental observables that could provide further insight into the nature of this state.
Paper Structure (7 sections, 59 equations, 8 figures, 3 tables)

This paper contains 7 sections, 59 equations, 8 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Formalism
  3. Box Diagrams
  4. Box diagrams with $\bar{K}\Xi^*$ intermediate states
  5. Box diagrams with $\bar{K}^*\Xi$ intermediate states
  6. Results
  7. Conclusions

Figures (8)

  • Figure 1: Diagrammatic representation of the $VB\to VB$ interaction, through the exchange of vector meson.
  • Figure 2: Box diagrams for $\bar{K}^*\Xi^*$ decay into $\bar{K}\Xi^*$.
  • Figure 3: Box diagrams for $\bar{K}^*\Xi^*$ decay into $\bar{K}^*\Xi$.
  • Figure 4: The modulus squared of the amplitude $|T_{\bar{K}^*\Xi^*\to\bar{K}^*\Xi^*}|^2$ for different values of $q_{\mathrm{max}}$. The left vertical (green dashed) line corresponds to 2380 MeV, while the right (purple dotted) line indicates the $\bar{K}^*\Xi^*$ threshold mass.
  • Figure 5: Modulus squared of the diagonal amplitudes $|T_{ii}|^2$ for the three channels. The vertical lines have the same meaning as in Fig. \ref{['fig:qmax']}.
  • ...and 3 more figures