Study of possible $DND^*$ bound states

TL;DR

This study predicts the existence of bound states involving D, N, and D* particles, suggesting new exotic baryonic states that could shed light on D meson interactions with nucleons.

Contribution

It introduces a novel three-body analysis of D, N, and D* systems using the Fixed Center Approximation, predicting bound states with specific quantum numbers.

Findings

The DND* system is bound with about 60 MeV binding energy.

The system has a width of approximately 90 MeV.

Observation of these states would inform D meson-nucleon interactions.

Abstract

We start from a recently favored picture in which the $\Lambda_c(2940)$ and $\Lambda_c(2910)$ correspond mostly to $ND^*$ bound states with $J^P = 1/2^-,\, 3/2^-$ and then add a $D$ as a third particle, looking for the possible binding of the $DND^*$ three body system within the framework of the Fixed Center Approximation. We find that the system is bound with respect to the corresponding $\Lambda_c^* D$ threshold with a binding of about $60$ MeV and a width of about $90$ MeV. Alternatively we assume a cluster of $ND$ and a $D^*$ meson interacting with the cluster and we find similar results. The observation of these states of $J^P = 1/2^+,\, 3/2^+$ would provide new and valuable information concerning the $DN$ and $D^* N$ interaction, an issue of current debate.