We investigate theoretically baryon systems made of three hadrons which contain one nucleon and one $D$ meson, and in addition another meson, $\overline{D}$, $K$, or $\overline{K}$. The systems are studied using the fixed center approximation to the Faddeev equations. The study is made assuming scattering of a $K$ or a $\overline{K}$ on a $DN$ cluster, which is known to generate the ${\Lambda }_c(2595)$, or the scattering of a nucleon on the $D\overline{D}$ 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 $\overline{K}DN$.

• Received 2 June 2011

DOI:https://doi.org/10.1103/PhysRevD.84.034037