Interpretation of $\Omega(2012)$ as a $\Xi(1530)K$ molecular state

TL;DR

This paper uses QCD sum rules to analyze the $ ext{Omega}(2012)$ resonance, proposing it as a $ ext{Xi}(1530)ar{K}$ molecular pentaquark state with specific mass and decay properties consistent with experimental data.

Contribution

It provides a novel interpretation of $ ext{Omega}(2012)$ as a molecular pentaquark state and calculates its mass and decay widths using advanced QCD sum rule techniques.

Findings

Mass of $2.00 \, ext{GeV}$ with uncertainty matches experimental data.

Total decay width estimated at approximately 1 MeV.

Decay branching ratio consistent with observed decay modes.

Abstract

We investigate the mass and strong decay properties of the $\Omega(2012)$ resonance using QCD sum rules, assuming it to be an S-wave $\Xi(1530)\bar{K}$ molecular pentaquark state with $I(J^{P})= 0(\frac{3}{2}^{-})$. A unified interpolating current is constructed, and the two-point correlation functions and three-point functions are calculated up to dimension-13 and 10 condensate terms in the OPE series, respectively. The negative-parity contribution is isolated by employing parity-projected sum rules. The two-body strong decays to $\Xi^0 K^-$ and $\Xi^- \bar{K}^0$ are studied via their three-point correlation functions. Our analysis yields a mass of $2.00 \pm 0.15~\mathrm{GeV}$ and a total two-body decay width of $\Gamma = 0.96^{+0.79}_{-0.41}~\mathrm{MeV}$ for the $\Xi(1530)\bar{K}$ molecular state. The ratio of the two-body decay branching fractions is obtained as $\mathcal{R}^{\Xi^- \bar{K}^0}_{\Xi^0 K^-} = 0.85$. These results are compatible with the experimental data for the $\Omega(2012)$ within uncertainties and support its interpretation as a $\Xi(1530)\bar{K}$ molecular pentaquark state.