A Mixing Coupling Scheme for Spectra of Singly Heavy Baryons with Spin-1 Diquarks in P-waves

Abstract

A new scheme of state classification is proposed and applied to analyze masses of the heavy baryons ${\Omega }_Q$, ${\Sigma }_Q$ and ${\Xi }_Q^{\prime }$ in P-waves. The results confirm all excited ${\Omega }_c$ and ${\Omega }_b$ baryons reported recently by LHCb to be bound states of a P-wave $ss$-diquark and a respective charm or bottom quark, and thereby predict Regge trajectories for more excited ${\Omega }_c$ and ${\Omega }_b$ baryons. We suggest one excited {$J^P=5/2^{-}$} ${\Omega }_b$ state to be unseen by LHCb around $6352$ MeV, and predict P-wave masses of all spin-partners of the odd-parity baryons ${\Sigma }_c(2800)/{\Xi }_c^{\prime }(2942)$ and ${\Sigma }_b(6097)$/${\Xi }_b^{\prime }(6227)$. A computation is further given in a relativized potential quark models to explain matched values of spin couplings of all considered baryons, by which a scaling law for these spin couplings is discussed.

Comments: 28 pages, 3 figures in total, with one new figure (FIG. 3) and one new section (Section VI) added in this enlarged version(V3). Due to twice extensions (Section V and Section VI added) including two newly added figures(FIG. 2 and FIG. 3), we also changed the title correspondingly