A mixing coupling scheme for spectra of singly heavy baryons with spin-1 diquarks in P-waves

A new scheme of state classification is proposed and applied to analyze masses of the heavy baryons Ω Q , Σ Q and Ξ Q ′ 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 ′ ( 2942 ) and Σ b ( 6097 ) / Ξ b ′ ( 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.