Testing the molecular nature of the $Ω(2012)$ with the $ψ(3770) \to \barΩ \bar{K} Ξ$ and $ψ(3770) \to \barΩ \bar{K} Ξ^*(1530) (\bar Ω\bar K πΞ)$ reactions

Abstract

We report on the reactions $ψ(3770)\to \barΩ^+ \bar{K} Ξ$ and $ψ(3770)\to \barΩ^+ \bar{K}Ξ^*(1530)~(Ξ^*(1530)\to πΞ$), and calculate the mass distributions $\frac{{\rm d}Γ}{{\rm d}M_\text{inv}(\bar{K}Ξ)}$ and $\frac{{\rm d}Γ}{{\rm d}M_\text{inv}(\bar{K}Ξ^*)}$, respectively. We obtain clear peaks corresponding to the $Ω(2012)$. From the decay of $ψ(3770)\to \barΩ^+ \bar{K}Ξ^*$, we also get a second, broader, peak around $2035\,\rm MeV$, which comes from the $Ω(2012)$ decay to $\bar{K}Ξ^*$. This second peak is closely tied to the molecular picture of the $Ω(2012)$ with the $\bar{K}Ξ^*(1530)$ and $ηΩ$ components. Its observation would provide a boost to the molecular picture of the $Ω(2012)$.