Predicting possible molecular states of nucleons with ${\mathrm{\Xi }}_c$, ${\mathrm{\Xi }}_c^{\ast }$, and ${\mathrm{\Xi }}_c^{\mathrm{\prime }}$

In the framework of a one-boson-exchange model, we carry out a comprehensive investigation of the ${\mathrm{\Xi }}_{c}N\mathrm{/}{\mathrm{\Lambda }}_c\mathrm{\Sigma }\mathrm{/}{\mathrm{\Xi }}_c^{\mathrm{\prime }}N\mathrm{/}{\mathrm{\Sigma }}_c\mathrm{\Lambda }\mathrm{/}{\mathrm{\Xi }}_c^{\ast }N\mathrm{/}{\mathrm{\Sigma }}_c^{\ast }\mathrm{\Lambda }\mathrm{/}{\mathrm{\Sigma }}_c\mathrm{\Sigma }\mathrm{/}{\mathrm{\Sigma }}_c^{\ast }\mathrm{\Sigma }$ interactions. We consider the $S$-$D$-wave mixing effects and the coupled-channel effects to derive the relevant effective potentials. Our results can predict several possible charm-strange deuteronlike ${\mathrm{\Xi }}_c^{{(}^{\mathrm{\prime }},\ast )}N$ hexaquarks, the ${\mathrm{\Xi }}_c^{\mathrm{\prime }}N$ molecules with $I(I^P)=0(0^{+})$, $0(1^{+})$, $1(1^{+})$, the ${\mathrm{\Xi }}_c^{\ast }N$ molecules with $0(1^{+})$, $0(2^{+})$, $1(2^{+})$, and the coupled ${\mathrm{\Xi }}_{c}N\mathrm{/}{\mathrm{\Xi }}_c^{\mathrm{\prime }}N\mathrm{/}{\mathrm{\Xi }}_c^{\ast }N\mathrm{/}{\mathrm{\Sigma }}_c\mathrm{\Sigma }\mathrm{/}{\mathrm{\Sigma }}_c^{\ast }\mathrm{\Sigma }$ molecule with $0(1^{+})$. We expect the experiments to search for our predictions of the ${\mathrm{\Xi }}_c^{(\mathrm{\prime },\ast )}N$ bound states.