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 $Ω_{Q}$, $Σ_{Q}$ and $Ξ_{Q}^{\prime}$ in P-waves. The results confirm all excited $Ω_{c}$ and $Ω_{b}$ 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 $Ω_{c}$ and $Ω_{b}$ baryons. We suggest one excited {$J^{P}=5/2^{-}$} $Ω_{b}$ state to be unseen by LHCb around $6352$ MeV, and predict P-wave masses of all spin-partners of the odd-parity baryons $Σ_{c}(2800)/Ξ_{c}^{\prime}(2942)$ and $Σ_{b}(6097)$/$Ξ_{b}^{\prime }(6227)$. 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.