Investigation of the mass spectra of singly heavy baryons ${\Sigma }_Q$, ${\Xi }_Q^{\prime }$ and ${\Omega }_Q$ $(Q=c,b)$ in the Regge trajectory model

Abstract

Very recently, LHCb Collaboration observed that two new ${\Omega }_c^0$ states decay into ${\Xi }_c^{+}{K}^{-}$ with masses of about $3185$ MeV and $3327$ MeV. However, their spin parity quantum numbers $J^P$ have not been determined. In this paper, we exploit the quark-diquark model, the linear Regge trajectory and the perturbation treatment method to analyze the mass spectra of the discovered experimental data for the singly heavy baryons ${\Sigma }_c/{\Sigma }_b$, ${\Xi }_c^{\prime }/{\Xi }_b^{\prime }$ and ${\Omega }_c/{\Omega }_b$. In addition, we further predict the mass spectra of several unobserved ${\Sigma }_c/{\Sigma }_b$, ${\Xi }_c^{\prime }/{\Xi }_b^{\prime }$ and ${\Omega }_c/{\Omega }_b$ baryons. In the case of the ${\Omega }_c(3185{)}^0$ and ${\Omega }_c(3327{)}^0$ states, we determine ${\Omega }_c(3185{)}^0$ as $2S$ state and ${\Omega }_c(3327{)}^0$ as $1D$ state with $J^P=1/2^{+}$ and $J^P=3/2^{+}$, respectively. An overall good agreement of the obtained predictions with available experimental data are found.

Comments: 34 pages, 6 figures