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

Abstract

In the framework of a one-boson-exchange model, we carry out a comprehensive investigation of the $Ξ_cN/Λ_cΣ/Ξ_c^{\prime}N/Σ_cΛ/Ξ_c^*N/Σ_c^*Λ/Σ_cΣ/Σ_c^*Σ$ 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 $Ξ_c^{(',*)}N$ hexaquarks, the $Ξ_c^{\prime}N$ molecules with $I(I^P)=0(0^+)$, $0(1^+)$, $1(1^+)$, the $Ξ_c^*N$ molecules with $0(1^+)$, $0(2^+)$, $1(2^+)$, and the coupled $Ξ_cN/Ξ_c^{\prime}N/Ξ_c^*N/Σ_cΣ/Σ_c^*Σ$ molecule with $0(1^+)$. We expect the experiments to search for our predictions of the $Ξ_c^{(\prime,*)}N$ bound states.