Narrow bound states of the DNN system

TL;DR

This paper investigates the properties of the DNN system, a charmed meson with two nucleons, finding it to be a bound state with a relatively narrow width, making it promising for experimental detection.

Contribution

The study applies two different computational methods to evaluate the binding and width of the DNN system, providing consistent results and insights into its stability.

Findings

The DNN system is bound by about 200 MeV.

The width of the state is smaller than 40 MeV.

The system's properties differ from the analogous $ar K NN$ system.

Abstract

We report on a recent calculation of the properties of the $DNN$ system, a charmed meson with two nucleons. The system is analogous to the $\bar K NN$ system substituting a strange quark by a charm quark. Two different methods are used to evaluate the binding and width, the Fixed Center approximation to the Faddeev equations and a variational calculation. In both methods we find that the system is bound by about 200 MeV and the width is smaller than 40 MeV, a situation opposite to the one of the $\bar K NN$ system and which makes this state well suited for experimental observation.