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

Abstract

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