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

Abstract

We report on a theoretical study of the newly observed $\Omega (2012)$ resonance in the nonleptonic weak decays of ${\Omega }_c^0\to {\pi }^{+}\bar{K}{\Xi }^{\ast }(1530)(\eta \Omega )\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$ and ${\pi }^{+}(\bar{K}\Xi \pi {)}^{-}$ via final-state interactions of the $\bar{K}{\Xi }^{\ast }(1530)$ and $\eta \Omega$ pairs. The weak interaction part is assumed to be dominated by the charm quark decay process: $c(ss)\to (s+u+\bar{d})(ss)$, while the hadronization part takes place between the $sss$ cluster from the weak decay and a quark-antiquark pair with the quantum numbers $J^{PC}=0^{++}$ of the vacuum, produces a pair of $\bar{K}{\Xi }^{\ast }(1530)$ and $\eta \Omega$. Accordingly, the final $\bar{K}{\Xi }^{\ast }(1530)$ and $\eta \Omega$ states are in pure isospin $I=0$ combinations, and the ${\Omega }_c^0\to {\pi }^{+}\bar{K}{\Xi }^{\ast }(1530)(\eta \Omega )\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$ decay is an ideal process to study the $\Omega (2012)$ resonance. With the final-state interaction described in the chiral unitary approach, up to an arbitrary normalization, the invariant mass distributions of the final state are calculated, assuming that the $\Omega (2012)$ resonance with spin-parity $J^P=3/2^{-}$ is a dynamically generated state from the coupled channels interactions of the $\bar{K}{\Xi }^{\ast }(1530)$ and $\eta \Omega$ in $s$-wave and $\bar{K}\Xi$ in $d$-wave. We also calculate the ratio, $R_{\bar{K}\Xi }^{\bar{K}\Xi \pi }=\mathrm{Br}[{\Omega }_c^0\to {\pi }^{+}\Omega (2012{)}^{-}\to {\pi }^{+}(\bar{K}\Xi \pi {)}^{-}]/\mathrm{Br}[{\Omega }_c^0\to {\pi }^{+}\Omega (2012{)}^{-}\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$]. The proposed mechanism can provide valuable information on the nature of the $\Omega (2012)$ and can in principle be tested by future experiments.

More references and discussions are added; typos are fixed

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Cited by in corpus (19)

• Toward discovering the excited $\Omega$ baryons through nonleptonic weak decays of ${\Omega }_c$
• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• 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?
• Identifying the ${\Xi }_b(6100)$ as the $P$-wave bottom baryon of $J^P=3/2^{-}$
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• Further understanding the nature of $\Omega (2012)$ within a chiral quark model
• Understanding the nature of $\Omega (2012)$ in a coupled-channel approach
• Study ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ and search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$
• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• Evidence for Two Excited ${\Omega }^{-}$ Hyperons
• Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory
• The ${\Omega }_{cc}$ resonances with negative parity in the chiral constituent quark model
• The dynamically generated $N(1535)$ state in the ${\Lambda }_c^{+}\to p{\bar{K}}^0{\pi }^0$ decay
• Radiative decays of the $\Omega (2012)$ as a hadronic molecule
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$
• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays
• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays
• Investigation on the $\Omega (2012)$ from QCD sum rules