Testing the molecular nature of the \(\Omega (2012)\) with the \(\psi (3770) \rightarrow \bar{\Omega } \bar{K} \Xi \) and \(\psi (3770) \rightarrow \bar{\Omega } \bar{K} \Xi ^*(1530) (\bar{\Omega } \bar{K} \pi \Xi )\) reactions

Abstract

We report on the reactions \(\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K} \Xi \) and \(\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K}\Xi ^*(1530) \;(\Xi ^*(1530)\rightarrow \pi \Xi \)), and calculate the mass distributions \(\frac{\textrm{d}\Gamma }{\textrm{d}M_\text {inv}(\bar{K}\Xi )}\) and \(\frac{\textrm{d}\Gamma }{\textrm{d}M_\text {inv}(\bar{K}\Xi ^*)}\), respectively. We obtain clear peaks corresponding to the \(\Omega (2012)\). From the decay of \(\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K}\Xi ^*\), we also get a second, broader, peak around \(2035\,\mathrm MeV\), which comes from the \(\Omega (2012)\) decay to \(\bar{K}\Xi ^*\). This second peak is closely tied to the molecular picture of the \(\Omega (2012)\) with the \(\bar{K}\Xi ^*(1530)\) and \(\eta \Omega \) components. Its observation would provide a boost to the molecular picture of the \(\Omega (2012)\).