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The $Ξ^* \bar{K}$ and $Ωη$ interaction within a chiral unitary approach

In this work we study the interaction of the coupled channels $Ωη$ and $Ξ^* \bar{K}$ 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 $3/2^-$ $Ω$ state with mass around $1800$ MeV, which is in agreement with the predictions of the five-quark model.

preprint2016arXivOpen access

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