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

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 $D_{s0}^{\ast }(2317)$. In all cases we find bound states, with the $NDK$ system, of exotic nature, more bound than the $\bar{K}DN$.

9 figures

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Cited by in corpus (21)

• Heavy Hadrons in Nuclear Matter
• A narrow $DNN$ quasi-bound state
• Few-body systems consisting of mesons
• Double heavy tri-hadron bound state via delocalized $\pi$ bond
• Study of the $DKK$ and $DK\bar{K}$ systems
• On the binding of the $BD\bar{D}$ and $BDD$ systems
• A prediction of $D^{\ast }$-multi-$\rho$ states
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Pseudotensor mesons as three-body resonances
• Tri-meson bound state $BB{B}^{\ast }$ via delocalized $\pi$~Bond
• Prediction of new states from $D^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ three-body interactions
• The "Closed" Chiral Symmetry and Its Application to Tetraquark
• Chiral Structure of Scalar and Pseudoscalar Mesons
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Investigations of the $D$-multi-$\rho$ interactions
• Looking for bound states and resonances in the ${\eta }^{\prime }K\bar{K}$ system
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• States generated in the $K$-multi-$\rho$ interactions
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity