ND^(*) and NB^(*) interactions in a chiral quark model

TL;DR

This study investigates the interactions between N and D or D^* mesons using chiral quark models, finding attractive forces that could lead to molecular states, potentially explaining newly observed charmed hadrons.

Contribution

It provides the first detailed analysis of ND and ND^* interactions within chiral quark models, suggesting possible molecular states corresponding to observed charmed baryons.

Findings

N and D or D^* interactions are attractive mainly due to xchange.

Strong enough attractions may form ND or ND^* molecules.

Results are consistent with observed  baryons.

Abstract

ND and ND^* interactions become a hot topic after the observation of new charmed hadrons \Sigma_c(2800) and \Lambda_c(2940)^+. In this letter, we have preliminary investigated S-wave ND and ND^* interactions with possible quantum numbers in the chiral SU(3) quark model and the extended chiral SU(3) quark model by solving the resonating group method equation. The numerical results show that the interactions between N and D or N and D^* are both attractive, which are mainly from \sigma exchanges between light quarks. Further bound-state studies indicate the attractions are strong enough to form ND or ND^* molecules, except for (ND)_{J=3/2} and (ND^*)_{J=3/2} in the chiral SU(3) quark model. In consequence ND system with J=1/2 and ND^* system with J=3/2 in the extended SU(3) quark model could correspond to the observed \Sigma_c(2800) and \Lambda_c(2940)^+, respectively. Naturally, the same method can be applied to research NB and NB^* interactions, and similar conclusions obtained, i.e. NB and NB^* attractive forces may achieve bound states, except for (NB^*)_{J=3/2} in the chiral SU(3) quark model. Meanwhile, S partial wave phase shifts of ND^{(*)} and NB^{(*)} elastic scattering are illustrated, which are qualitatively consistent with results from bound state problem.