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.
Categories: hep-ph