Testing the molecular nature of the Ω(2012) with the ψ(3770)→Ω¯K¯Ξ and ψ(3770)→Ω¯K¯Ξ∗(1530)(Ω¯K¯πΞ) reactions

Abstract

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