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.

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

References in corpus (4)

• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Xi and Omega baryons in the Skyrme model
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• Low-lying $\Omega$ states with negative parity in an extended quark model with Nambu-Jona-Lasinio interaction

Cited by in corpus (12)

• The $\Omega (2012)$ as a hadronic molecule
• Coupled channels dynamics in the generation of the $\Omega (2012)$ resonance
• Hadronic molecular assignment for the newly observed ${\Omega }^{\ast }$ state
• Strong decay modes $\bar{K}\Xi$ and $\bar{K}\Xi \pi$ of the $\Omega (2012)$ in the $\bar{K}\Xi (1530)$ and $\eta \Omega$ molecular scenario
• Molecular picture for the $\Omega (2012)$ revisited
• Revisiting the $\Omega (2012)$ as a hadronic molecule and its strong decays
• The $T_{c\bar{s}}(2900)$ as a threshold effect from the interaction of the $D^{\ast }{K}^{\ast }$, $D_s^{\ast }\rho$ channels
• Theoretical study of the $\Omega (2012)$ state in the ${\Omega }_c^0\to {\pi }^{+}\Omega (2012{)}^{-}\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$ and ${\pi }^{+}(\bar{K}\Xi \pi {)}^{-}$ decays
• Can $\Omega (2012)$ be explained as a molecular state?
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• The ${\Omega }_{cc}$ resonances with negative parity in the chiral constituent quark model
• Radiative decays of the $\Omega (2012)$ as a hadronic molecule