Molecular picture for the $\Omega (2012)$ revisited

Abstract

We conduct a study of the interaction of the $\bar{K}{\Xi }^{\ast }$, $\eta \Omega$($s$-wave) and $\bar{K}\Xi$($d$-wave) channels within a coupled channel unitary approach where the transition potential between the $\bar{K}{\Xi }^{\ast }$ and $\eta \Omega$ channels is obtained from chiral Lagrangians. The transition potential between $\bar{K}{\Xi }^{\ast }$, $\eta \Omega$ and $\bar{K}\Xi$ is taken in terms of free parameters, which together with a cut off to regularize the meson-baryon loops are fitted to the $\Omega (2012)$ data. We find that all data including the recent Belle experiment on ${\Gamma }_{{\Omega }^{\ast }\to \pi \bar{K}\Xi }/{\Gamma }_{{\Omega }^{\ast }\to \bar{K}\Xi }$, are compatible with the molecular picture stemming from meson baryon interaction of these channels.

arXiv comment19 pages, 4 figures, 4 tables

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Cited by in corpus (18)

• QCD and the Strange Baryon Spectrum
• 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
• Spectroscopic Study of Strangeness=-3 ${\Omega }^{-}$ Baryon
• Toward discovering the excited $\Omega$ baryons through nonleptonic weak decays of ${\Omega }_c$
• Analysis of the ${\eta }_1(1855)$ as a $K{\bar{K}}_1(1400)$ molecular state
• 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?
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• Understanding the nature of $\Omega (2012)$ in a coupled-channel approach
• Further understanding the nature of $\Omega (2012)$ within a chiral quark 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