$\Lambda_c N$ bound states revisited

TL;DR

This paper constructs a one-boson exchange potential model for the $mbda_c N$ system, exploring the possibility of molecular bound states with coupled channel effects, based on effective Lagrangians respecting heavy quark and chiral symmetries.

Contribution

The study develops a detailed potential model for $mbda_c N$ and demonstrates the plausibility of bound states, emphasizing the importance of coupled channel effects involving $mbda_c$, $mbda_c^*$, and $mbda_c^* N$ channels.

Findings

Molecular bound states of $mbda_c N$ are plausible.

Coupled channel effects with $mbda_c^* N$ are essential.

Derived potentials support the existence of $mbda_c N$ bound states.

Abstract

The one-boson exchange potential model for $\Lambda_cN$ is constructed and the possibility of $\Lambda_cN$ bound states is examined. We consider an effective Lagrangian for the charmed baryons, $\Lambda_c$, $\Sigma_c$, and $\Sigma_c^*$, reflecting the heavy quark symmetry, chiral symmetry, and hidden local symmetry. We determine the coupling constants using various methods. With the derived nonrelativistic potentials, we study the bound state problem of the $\Lambda_cN$ system and relevant coupled channel effects. It is found that molecular bound states of $\Lambda_cN$ are plausible, for which the channel couplings of $\Sigma_cN$ and $\Sigma_c^*N$ are essential.