${\Lambda }_{c}N$ bound states revisited

Abstract

The one-boson exchange potential model for ${\Lambda }_{c}N$ is constructed and the possibility of ${\Lambda }_{c}N$ bound states is examined. We consider an effective Lagrangian for the charmed baryons, ${\Lambda }_c$, ${\Sigma }_c$, and ${\Sigma }_c^{\ast }$, 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 ${\Lambda }_{c}N$ system and relevant coupled channel effects. It is found that molecular bound states of ${\Lambda }_{c}N$ are plausible, for which the channel couplings of ${\Sigma }_{c}N$ and ${\Sigma }_c^{\ast }N$ are essential.

Comments: 25 pages, 8 figures, 15 tables; publication version