$Y_{c}NN$ 3-body charmed nuclei with channel coupling

Binding energies of $Y_{c}NN$ 3-body charmed nuclei are studied in a potential model. We take into account couplings of channels with $\Lambda_c$, $\Sigma_{c}$ and $\Sigma_{c}^{*}$ (spin 3/2). Since the mass difference between $\Sigma_{c}$ and $\Sigma_{c}^{*}$ is small, the effect of $\Sigma_{c}^{*}$ coupling is important. Between a charm baryon and a nucleon, we use $Y_{c}N$-CTNN potential, which consists of One Boson Exchange potential supplemented by the short-range repulsion from the Quark Cluster Model. Coupling constants and cut-off parameters are fixed so as to be consistent with the N-N interaction. Accordingly, the CTNN potential has four versions, two of which give a bound $\Lambda_c N$ ($^3 S_1$) state. We also include the Coulomb interaction for the charged charmed baryon and the proton. We find a bound state in the three-body system, when we use an effective one-body potential for $\Lambda_c N$, as a preliminary calculation. We will report the results of the full three-body calculation.