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

$$Omega$$バリオンの質量分離に関する改良した予測

Su, N.*; Chen, H.-X.*; Gubler, P. ; 保坂 淳

Su, N.*; Chen, H.-X.*; Gubler, P.; Hosaka, Atsushi

Using the QCD sum rule method, we investigate the mass splitting for the spin-orbit partner states of the $$Omega(2012)$$ baryon assuming that it is a $$P$$-wave excitation with $$J^P = 3/2^-$$. This study is an extension of a previous work, 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, $$delta M = M_{3/2^-} - M_{1/2^-} = -18.0^{+33.6}_{-17.1}$$ MeV. This result provides a more quantitative insight into the spectrum of $$P$$-wave $$Omega$$ baryons and serves as a useful reference for future experiments.

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パーセンタイル:71.31

分野:Astronomy & Astrophysics

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