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.
Categories: hep-ph