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

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