Study of Singly Charmed Dibaryons in Quark Model

We perform a systematic investigation of low-lying singly charmed dibaryon systems with $J=1$, $I=0,{\displaystyle \frac{1}{2}},1,{\displaystyle \frac{3}{2}},2,{\displaystyle \frac{5}{2}}$ and strangeness $S=-1,-2,-3,-4,-5$ in the chiral quark model. According to the analysis of effective potentials, dibaryon systems characterized by lower isospin and magnitude of strangeness exhibit stronger attractive interactions, which may enhance their tendency to form bound states. Experimental efforts may therefore prioritize the search for such configurations. The bound-state calculation results indicate that we have obtained some single-channel bound states, which are $\mathrm{\Sigma }{\mathrm{\Sigma }}_c$, $\mathrm{\Sigma }{\mathrm{\Sigma }}_c^{*}$, ${\mathrm{\Sigma }}^{*}{\mathrm{\Sigma }}_c$, ${\mathrm{\Sigma }}^{*}{\mathrm{\Sigma }}_c^{*}$ with $I=0,S=-1$; ${\mathrm{\Sigma }}_c\mathrm{\Delta }$, ${\mathrm{\Sigma }}_c^{*}\mathrm{\Delta }$ with $I={\displaystyle \frac{1}{2}},S=0$; $\mathrm{\Sigma }{\mathrm{\Sigma }}_c$ with $I=1,S=-1$; ${\mathrm{\Sigma }}_c\mathrm{\Delta }$ with $I={\displaystyle \frac{3}{2}},S=0$; and ${\mathrm{\Xi }}^{*}{\mathrm{\Sigma }}_c^{*}$ with $I={\displaystyle \frac{3}{2}},S=-2$. However, these states can decay through open channels. We have listed both these single-channel bound states and their corresponding decay channels in this work for experimental reference and search. In the future, we need to study the scattering processes of the open channels further to confirm whether these states are resonance states.