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

TL;DR

This study uses Hamiltonian effective field theory to analyze lattice QCD and experimental data, exploring the internal structure and quantum numbers of the $ ext{Ω}(2012)^-$ resonance, and suggesting possible assignments for observed states.

Contribution

It introduces a combined lattice QCD and effective field theory approach to determine the quantum numbers and structure of the $ ext{Ω}(2012)^-$ resonance, including decay channels and resonance properties.

Findings

The $J^P=3/2^-$ resonance matches the observed $ ext{Ω}(2012)^-$.

The $ ext{Ω}(2109)^-$ may be a $J^P=1/2^-$ state.

Couplings to decay channels are determined via quark-pair-creation model.

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 $J^P = 1/2^-$ $\Omega$.