Short-range part of Y$_{\mathrm{c}}$N interactions in the Quark Cluster Model

The interaction of hyperons which contain the strange quark has been studied in detail. It is interesting to extend the study to the charmed baryons and to search for their bound states to nucleus. As the basis, it is important to understand the interaction between the charmed baryon Y$_{\mathrm{c}}$ and the nucleon N. In this study, we consider the interaction between Y$_{\mathrm{c}}$ ($\Lambda_{\mathrm{c}}$, $\Sigma_{\mathrm{c}}$, $\Sigma _{\mathrm{c}}^{\mathrm{\ast }})$ and N. The phenomenological models of the Y$_{\mathrm{c}}$N interaction have been constructed on the basis of the one-boson exchange. However, the short-range parts of the interaction have not been explored well. Here we use the quark cluster model and calculate the short-range part of the Y$_{\mathrm{c}}$N interaction by treating the baryons as three-quark clusters. Due to the quark antisymmetrization, we obtain a non-local potential between Y$_{\mathrm{c}}$ and N. Comparison of the results to those in the strange baryons will be discussed in this talk.