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A potential model for the interaction between a charmed baryon ($\Lambda_c$,$\Sigma_c$, and $\Sigma_c^*$) and the nucleon ($N$) is constructed. The modelcontains a long-range meson ($\pi$ and $\sigma$) exchange part and ashort-distance quark exchange part. The quark cluster model is used to evaluatethe short-range repulsion and a monopole type form factor is introduced to thelong-range potential to reflect the extended structure of hadrons. We determinethe cutoff parameters in the form factors by fitting the $NN$ scattering datawith the same approach and we obtain four sets of parameters (a -- d). The mostattractive potential (d) leads to bound $\Lambda_c N$ states with $J^\pi= 0^+$and $1^+$ once the channel couplings among $\Lambda_c$, $\Sigma_c$ and$\Sigma_c^*$ are taken into account. One can also investigate many-bodyproblems with the model. Here, we construct an effective $\Lambda_c N$one-channel potential with the parameter set (d) and apply it to the 3-body$\Lambda_c NN$ system. The bound states with $J=1/2$ and $3/2$ are predicted.

A model of charmed baryon-nucleon potential and 2- and 3-body bound states with charmed baryon