The $\Omega (2012)$ as a hadronic molecule

Abstract

Recently the Belle collaboration has discovered a narrow $S=-3$ baryon, the $\Omega (2012)$. We explore the possibility that the $\Omega (2012)$ is a $\Xi (1530)\bar{K}$ molecule, where the binding mechanism is the coupled channel dynamics with the $\Omega \eta$ channel. The characteristic signature of a molecular $\Omega (2012)$ will be its decay into the three body channel $\Xi \pi \bar{K}$, for which we expect a partial decay width of $2-3\mathrm{MeV}$. The partial decay width into the $\Xi \bar{K}$ channel should lie in the range of $1-11\mathrm{MeV}$, a figure compatible with experiment and which we have deduced from the assumption that the coupling involved in this decay is of natural size. For comparison purposes the decay of a purely compact $\Omega (2012)$ into the $\Xi \bar{K}$ and $\Xi \pi \bar{K}$ channels is of the same order of magnitude as and one order of magnitude smaller than in the molecular scenario, respectively. This comparison indicates that the current experimental information is insufficient to distinguish between a compact and a molecular $\Omega (2012)$ and further experiments will be required to determine its nature. A molecular $\Omega (2012)$ will also imply the existence of two- and three-body molecular partners. The two-body partners comprise two $\Lambda$ hyperons located at $1740$ and $1950\mathrm{MeV}$ respectively, the first of which might correspond to the $\Lambda (1800)$ while the second to the $\Lambda (2000)$ or the $\Lambda (2050)$. The three-body partners include a $\Xi (1530)K\bar{K}$ and a $\Xi (1530)\eta \bar{K}$ molecule, with masses of $M=2385-2445\mathrm{MeV}$ and $M=2434-2503\mathrm{MeV}$ respectively. We might be tempted to identify the first with the $\Xi (2370)$ and the latter with the $\Omega (2470)$ listed in the PDG.

6 pages, 2 figures, corresponds to published version

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• Effective Kbar N interaction based on chiral SU(3) dynamics
• Xi and Omega baryons in the Skyrme model
• Power Counting of Contact-Range Currents in Effective Field Theory
• Observation of an excited ${\Omega }^{-}$ baryon
• Detecting the long-distance structure of the X(3872)
• A possible interpretation of the newly observed $\Omega (2012)$ state
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• Scattering of decuplet baryons in chiral effective field theory
• The $D^{\ast }{D}^{\ast }\bar{D}$ and $D^{\ast }{D}^{\ast }{\bar{D}}^{\ast }$ Three-Body Systems
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Cited by in corpus (27)

• QCD and the Strange Baryon Spectrum
• $\Omega$ baryon spectrum and their decays in a constituent quark model
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Strong decay modes $\bar{K}\Xi$ and $\bar{K}\Xi \pi$ of the $\Omega (2012)$ in the $\bar{K}\Xi (1530)$ and $\eta \Omega$ molecular scenario
• Search for $\Omega (2012)\to K\Xi (1530)\to K\pi \Xi$ at Belle
• Molecular picture for the $\Omega (2012)$ revisited
• Revisiting the $\Omega (2012)$ as a hadronic molecule and its strong decays
• $\Omega (2012)$ through the looking glass of flavour SU(3)
• The $T_{c\bar{s}}(2900)$ as a threshold effect from the interaction of the $D^{\ast }{K}^{\ast }$, $D_s^{\ast }\rho$ channels
• Theoretical study of the $\Omega (2012)$ state in the ${\Omega }_c^0\to {\pi }^{+}\Omega (2012{)}^{-}\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$ and ${\pi }^{+}(\bar{K}\Xi \pi {)}^{-}$ decays
• Toward discovering the excited $\Omega$ baryons through nonleptonic weak decays of ${\Omega }_c$
• Spectroscopic Study of Strangeness=-3 ${\Omega }^{-}$ Baryon
• Newly observed $\Omega (2012)$ state and strong decays of the low-lying $\Omega$ excitations
• Interpretation of the ${\Omega }_c\to {\pi }^{+}\Omega (2012)\to {\pi }^{+}(\bar{K}\Xi )$ relative to ${\Omega }_c\to {\pi }^{+}\bar{K}\Xi$ from the $\Omega (2012)$ molecular perspective
• Can $\Omega (2012)$ be explained as a molecular state?
• Understanding the nature of $\Omega (2012)$ in a coupled-channel approach
• Further understanding the nature of $\Omega (2012)$ within a chiral quark model
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• Reanalysis of the newly observed ${\Omega }^{\ast }$ state in hadronic molecule model
• Observation of $\Omega (2012{)}^{-}\to \Xi (1530)\bar{K}$ and measurement of the effective couplings of $\Omega (2012{)}^{-}$ to $\Xi (1530)\bar{K}$ and $\Xi \bar{K}$
• Identifying triple-strangeness $\Omega$ hyperons in light of recent experimental results
• Evidence for Two Excited ${\Omega }^{-}$ Hyperons
• Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory
• Observation of the $\Omega$(2012) baryon at the LHC
• Radiative decays of the $\Omega (2012)$ as a hadronic molecule
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Investigation on the $\Omega (2012)$ from QCD sum rules