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

Abstract

AbstractA new scheme of state classification is proposed and applied to analyze masses of the heavy baryons $$\varOmega _{Q}$$ Ω Q , $$\varSigma _{Q}$$ Σ Q and $$\varXi _{Q}^{\prime }$$ Ξ Q ′ in P-waves. The results confirm all excited $$\varOmega _{c}$$ Ω c and $$\varOmega _{b}$$ 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 $$\varOmega _{c}$$ Ω c and $$\varOmega _{b}$$ Ω b baryons. We suggest one excited $$J^{P}=5/2^{-}$$ J P = 5 / 2 - $$\varOmega _{b}$$ 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 $$\varSigma _{c}(2800)/\varXi _{c}^{\prime }(2942)$$ Σ c ( 2800 ) / Ξ c ′ ( 2942 ) and $$\varSigma _{b}(6097)$$ Σ b ( 6097 ) /$$\varXi _{b}^{\prime }(6227)$$ 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.