Testing the molecular nature of the $\mathrm{\Omega }(2012)$ with the $\psi (3770)\to \bar{\mathrm{\Omega }}\bar{K}\mathrm{\Xi }$ and $\psi (3770)\to \bar{\mathrm{\Omega }}\bar{K}{\mathrm{\Xi }}^{\ast }(1530)(\bar{\mathrm{\Omega }}\bar{K}\pi \mathrm{\Xi })$ reactions

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