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

Abstract

In the framework of a one-boson-exchange model, we carry out a comprehensive investigation of the ${\Xi }_{c}N/{\Lambda }_c\Sigma /{\Xi }_c^{\prime }N/{\Sigma }_c\Lambda /{\Xi }_c^{\ast }N/{\Sigma }_c^{\ast }\Lambda /{\Sigma }_c\Sigma /{\Sigma }_c^{\ast }\Sigma$ 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 ${\Xi }_c^{{(}^{\prime },\ast )}N$ hexaquarks, the ${\Xi }_c^{\prime }N$ molecules with $I(I^P)=0(0^{+})$, $0(1^{+})$, $1(1^{+})$, the ${\Xi }_c^{\ast }N$ molecules with $0(1^{+})$, $0(2^{+})$, $1(2^{+})$, and the coupled ${\Xi }_{c}N/{\Xi }_c^{\prime }N/{\Xi }_c^{\ast }N/{\Sigma }_c\Sigma /{\Sigma }_c^{\ast }\Sigma$ molecule with $0(1^{+})$. We expect the experiments to search for our predictions of the ${\Xi }_c^{(\prime ,\ast )}N$ bound states.

Comments: 11 pages