Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory

Abstract

We investigate the internal structure of the $\Omega (2012{)}^{-}$ by analyzing lattice QCD simulation and experimental data within Hamiltonian effective field theory, considering both $J^P=1/2^{-}$ and $3/2^{-}$ assignments. The couplings to the dominant decay channel $\Xi \bar{K}$ and the near-threshold channel $\Xi (1530)\bar{K}$ are determined through the quark-pair-creation model. By studying the lattice QCD spectra in these two spin-parity scenarios, we extract the masses and widths of the resonances. We notice that the $J^P=3/2^{-}$ resonance is consistent with the observed $\Omega (2012{)}^{-}$ while the recently reported $\Omega (2109{)}^{-}$ may be a $J^P=1/2^{-}$ $\Omega$.

Comments: 8 pages, 4 figures