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

Very recently, LHCb Collaboration observed that two new ${\mathrm{\Omega }}_c^0$ states decay into ${\mathrm{\Xi }}_c^{+}{K}^{-}$ 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 ${\mathrm{\Sigma }}_c/{\mathrm{\Sigma }}_b$, ${\mathrm{\Xi }}_c^{\prime }/{\mathrm{\Xi }}_b^{\prime }$, and ${\mathrm{\Omega }}_c/{\mathrm{\Omega }}_b$. In addition, we further predict the mass spectra of several unobserved ${\mathrm{\Sigma }}_c/{\mathrm{\Sigma }}_b$, ${\mathrm{\Xi }}_c^{\prime }/{\mathrm{\Xi }}_b^{\prime }$, and ${\mathrm{\Omega }}_c/{\mathrm{\Omega }}_b$ baryons. In the case of the ${\mathrm{\Omega }}_c(3185{)}^0$ and ${\mathrm{\Omega }}_c(3327{)}^0$ states, we determine ${\mathrm{\Omega }}_c(3185{)}^0$ as $2S$ state and ${\mathrm{\Omega }}_c(3327{)}^0$ 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.

Figure 1

Spin-average mass of ${\mathrm{\Sigma }}_c$ baryons.

Figure 2

Spin-average mass of ${\mathrm{\Sigma }}_b$ baryons.

Figure 3

Spin-average mass of ${\mathrm{\Xi }}_c^{\prime }$ baryons.

Figure 4

Spin-average mass of ${\mathrm{\Xi }}_b^{\prime }$ baryons.

Figure 5

Spin-average mass of ${\mathrm{\Omega }}_c$ baryons.

Figure 6

Spin-average mass of ${\mathrm{\Omega }}_b$ baryons.