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

Abstract

In this work we study the interaction of the coupled channels $\Omega \eta$ and ${\Xi }^{\ast }\bar{K}$ 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.

Comments: 4 pages, 3 figures, published on the Communications in Theoretical Physics