The $\Xi^* \bar{K}$ and $\Omega \eta$ interaction within a chiral unitary approach

Abstract

In this work we study the interaction of the coupled channels $\Omega \eta$ and $\Xi^* \bar{K}$ within the chiral unitary approach. The systems under consideration have total isospins $0$, strangeness $S = -3$, and spin $3/2$. We studied the $s$ wave interaction which implies that the possible resonances generated in the system can have spin-parity $J^P = 3/2^-$. The unitary amplitudes in coupled channels develop poles that can be associated with some known baryonic resonances. We find there is a dynamically generated $3/2^-$ $\Omega$ state with mass around $1800$ MeV, which is in agreement with the predictions of the five-quark model.