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

Abstract

We present a mechanism for ${\Omega }_c\to {\pi }^{+}\Omega (2012)$ production through an external emission Cabibbo favored weak decay mode, where the $\Omega (2012)$ is dynamically generated from the interaction of $\bar{K}{\Xi }^{\ast }(1530)$, $\eta \Omega$, with $\bar{K}\Xi$ as the main decay channel. The $\Omega (2012)$ decays later to $\bar{K}\Xi$ in this picture, with results compatible with Belle data. The picture has as a consequence that one can evaluate the direct decay ${\Omega }_c^0\to {\pi }^{+}{K}^{-}{\Xi }^0$ and the decay ${\Omega }_c^0\to {\pi }^{+}\bar{K}{\Xi }^{\ast }$, ${\pi }^{+}\eta \Omega$ with direct coupling of $\bar{K}{\Xi }^{\ast }$ and $\eta \Omega$ to $K^{-}{\Xi }^0$. We show that, within uncertainties and using data from a recent Belle measurement, all these three channels account for about (12-20)\% of the total ${\Omega }_c\to {\pi }^{+}{K}^{-}{\Xi }^0$ decay rate. The consistency of the molecular picture with all the data is established by showing that ${\Omega }_c\to {\Xi }^0{\bar{K}}^{\ast 0}\to {\Xi }^0{K}^{-}{\pi }^{+}$ together with ${\Omega }_c\to {\pi }^{+}{\Omega }^{\ast }\to {\pi }^{+}{K}^{-}{\Xi }^0$ account for about 85\% of the total ${\Omega }_c\to {\pi }^{+}{K}^{-}{\Xi }^0$.

Comments: 12 pages, 5 figures, 3 tables