On the two-body decay processes of the predicted three-body $K^{\ast }(4307)$ resonance

Abstract

In a recent theoretical work, Phys. Lett. B785, 112 (2018), we proposed that a $K^{\ast }$ resonance with hidden charm content arises from the $KD{\bar{D}}^{\ast }$ dynamics, where the $D{\bar{D}}^{\ast }$ system is treated as a $Z_c(3900)$ or $X(3872)$. With the motivation of determining its further properties, which can be observed in experiments, we now present a calculation of the decay processes of this $K^{\ast }$, namely $K^{\ast }(4307)$, to two-body channels. Particularly, we consider the decay channels $J/\psi K^{\ast }(892)$, $\bar{D}{D}_s$, $\bar{D}{D}_s^{\ast }$ and ${\bar{D}}^{\ast }{D}_s^{\ast }$. The mechanisms of the decay to these channels involve triangular loops and are a consequence of the internal structure of the state. Thus, the values found for the decay widths of the proposed $K^{\ast }(4307)$ are related to its nature and should be valuable for carrying on an experimental study of the $K^{\ast }(4307)$. A $K^{\ast }$ state with such a mass (in the charmonium region) and quantum numbers is a clear manifestation of an exotic meson, since, having hidden charm (i.e., a $c\bar{c}$ pair), its mass and quantum numbers can not be explained within a quark-antiquark description.

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Cited by in corpus (5)

• 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
• One way to verify the molecular picture of exotic hadrons --from $DK$ to $DDK/D{\bar{D}}^{(\ast )}K$
• Production of the (predicted) $K^{\ast }(4307)$ in $B$ decays
• Electromagnetic properties of the $D{\bar{D}}^{\ast }K$ molecular hexaquark state