Predicting a new resonance as charmed-strange baryonic analog of $D_{s0}^{*}(2317)$

By an unquenched quark model, we predict a charmed-strange baryon state, namely, the ${\mathrm{\Omega }}_{c0}^d(1P,1/2^{-})$. Its mass is predicted to be 2945 MeV, which is below the ${\mathrm{\Xi }}_c\overline{K}$ threshold due to the nontrivial coupled-channel effect. So the ${\mathrm{\Omega }}_{c0}^d(1P,1/2^{-})$ state could be regarded as the analog of the charmed-strange meson $D_{s0}^{*}(2317)$. It is a good opportunity for the running Belle II experiment to search for this state in the ${\mathrm{\Omega }}_c^{(*)}\gamma$ mass spectrum experiment in the future.

Figure 1

The similarity between $D_{s0}^{*}(2317)$ and ${\mathrm{\Omega }}_{c0}(1P,1/2^{-})$. The predicted bare mass of $D_s$ meson is taken from the GI model [12, 13]. The dashed lines represent $DK$ threshold (left) and ${\mathrm{\Xi }}_c\overline{K}$ threshold (right).

Figure 2

The $M$ dependence of functions $M-M_0$ and $\mathrm{\Delta }M(M)$ for $D_s(1{{}^{3}P}_0)$. Here, the $M_{\mathrm{phy}}$ value corresponding to the blue dot point at the intersection of two lines is the physical mass.

Figure 3

The mass spectrum of ${\mathrm{\Omega }}_c$ baryons. The short black lines denote the masses from the quenched quark model, while the observed states are labeled by blue dots. The red dashed lines correspond to the thresholds.