Molecular picture for the $\Omega (2012)$ revisited

Abstract

We conduct a study of the interaction of the $\bar{K}{\Xi }^{\ast }$, $\eta \Omega$($s$-wave) and $\bar{K}\Xi$($d$-wave) channels within a coupled channel unitary approach where the transition potential between the $\bar{K}{\Xi }^{\ast }$ and $\eta \Omega$ channels is obtained from chiral Lagrangians. The transition potential between $\bar{K}{\Xi }^{\ast }$, $\eta \Omega$ and $\bar{K}\Xi$ is taken in terms of free parameters, which together with a cut off to regularize the meson-baryon loops are fitted to the $\Omega (2012)$ data. We find that all data including the recent Belle experiment on ${\Gamma }_{{\Omega }^{\ast }\to \pi \bar{K}\Xi }/{\Gamma }_{{\Omega }^{\ast }\to \bar{K}\Xi }$, are compatible with the molecular picture stemming from meson baryon interaction of these channels.

Comments: 19 pages, 4 figures, 4 tables