$K^{\ast }$ mesons with hidden charm arising from $KX(3872)$ and $K{Z}_c(3900)$ dynamics

Abstract

Inspired by the recent discovery of the pentaquark states $P_c(4450)$ and $P_c(4380)$, which can be viewed as excited nucleon states with hidden charm, we study the three-body interaction of a kaon and a pair of $D{\bar{D}}^{\ast }$ in isospin 0 and 1. We show that the two body interactions stringently constrained by the existence of the $D_{s0}^{\ast }(2317)$, $D_{s1}^{\ast }(2460)$, $X(3872)$, and $Z_c(3900)$, which are widely believed to contain large $DK$, $D^{\ast }K$, and $D{\bar{D}}^{\ast }$ components, inevitably lead to the existence of a heavy $K^{\ast }$ meson with hidden charm. Concrete coupled channel three-body calculations yield its mass and width as $(4307\pm 2)-i(9\pm 2)$ MeV with $I(J^P)=1/2(1^{-})$. This state, if found experimentally, definitely cannot be accommodated in a $q\bar{q}$ picture, and therefore presents a clear case of an exotic hadron.

arXiv commentupdated version

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Cited by in corpus (25)

• Pentaquark and Tetraquark states
• $DK$, $DDK$, and $DDDK$ molecules--understanding the nature of the $D_{s0}^{\ast }(2317)$
• Few-body systems consisting of mesons
• Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state
• Strong decays of the explicitly exotic doubly charmed $DDK$ bound state
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• One way to verify the molecular picture of exotic hadrons --from $DK$ to $DDK/D{\bar{D}}^{(\ast )}K$
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• Tri-meson bound state $BB{B}^{\ast }$ via delocalized $\pi$~Bond
• Theoretical investigation of the molecular nature of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and the possibility of observing the $D\bar{D}K$ bound state $K_{c\bar{c}}(4180)$ in inclusive $e^{+}{e}^{-}\to c\bar{c}$ collisions
• On the two-body decay processes of the predicted three-body $K^{\ast }(4307)$ resonance
• Analysis of the tetraquark and hexaquark molecular states with the QCD sum rules
• Binding of the three-hadron $D{D}^{\ast }K$ system from the lattice effective field theory
• Analysis of the $D{\bar{D}}^{\ast }K$ system with QCD sum rules
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• 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
• $D_1(2420)$ and its interactions with a kaon: open charm states with strangeness
• The ${\bar{D}}^{\ast }{\bar{D}}^{\ast }{\Sigma }_c$ Three-Body System
• Production of the (predicted) $K^{\ast }(4307)$ in $B$ decays
• Electromagnetic properties of the $D{\bar{D}}^{\ast }K$ molecular hexaquark state
• Tri-meson state $\bar{\mathbf{B}}{\bar{\mathbf{B}}}^{\ast }{\bar{\mathbf{B}}}^{\ast }$
• 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
• $N^{\ast }$ states with hidden charm and a three-body nature