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

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 $\Sigma_{c}/\Sigma_{b}$, $\Xi^{\prime}_{c}/\Xi^{\prime}_{b}$ and $\Omega_{c}/\Omega_{b}$. In addition, we further predict the mass spectra of several unobserved $\Sigma_{c}/\Sigma_{b}$, $\Xi^{\prime}_{c}/\Xi^{\prime}_{b}$ 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.