Improved prediction of the mass splitting for P-wave $Ω$ baryons

Using the QCD sum rule method, we investigate the mass splitting for the spin-orbit partner states of the $Ω(2012)$ baryon assuming that it is a P-wave excitation with JP=3/2⁻. This study is an extension of the previous work [1] in which the masses of these states were estimated with uncertainties too large to extract the reliable mass splitting. In the present study, by directly formulating a sum rule for the mass splitting, we obtain an improved prediction, δM = M3/2⁻ - M1/2⁻ = -18.0+ 33.6-17.1 MeV. This result provides a more quantitative insight into the spectrum of P-wave $Ω$ baryons and serves as a useful reference for future experiments.