$NDK$, $\bar{K} DN$ and $ND\bar{D}$ molecules

TL;DR

This paper theoretically studies three-hadron baryon systems containing nucleons, D mesons, and either K, , or ar{K} mesons, predicting bound states using the Fixed Center Approximation to Faddeev equations.

Contribution

It introduces a novel application of the Fixed Center Approximation to analyze complex three-hadron systems involving charm and strange mesons.

Findings

Bound states are predicted in all studied configurations.

The NDar{K} system is more bound and exotic.

Results support the existence of molecular states related to known resonances.

Abstract

We investigate theoretically baryon systems made of three hadrons which contain one nucleon and one D meson, and in addition another meson, $\bar{D}, K$ or $\bar{K}$. The systems are studied using the Fixed Center Approximation to the Faddeev equations. The study is made assuming scattering of a $K$ or a $\bar{K}$ on a $DN$ cluster, which is known to generate the $\Lambda_c(2595)$, or the scattering of a nucleon on the $D\bar{D}$ cluster, which has been shown to generate a hidden charm resonance named X(3700). We also investigate the configuration of scattering of $N$ on the $KD$ cluster, which is known to generate the $D_{s0}^*(2317)$. In all cases we find bound states, with the $NDK$ system, of exotic nature, more bound than the $\bar{K} DN$.