The $Z_{cs}(3985)$ as a threshold effect from the ${\bar{D}}_s^{\ast }D+{\bar{D}}_s{D}^{\ast }$ interaction

Abstract

We study the $e^{+}{e}^{-}\to K^{+}(D_s^{\ast -}{D}^0+D_s^{-}{D}^{\ast 0})$ reaction recently measured at BESIII, from where a new $Z_{cs}$ state has been reported. We study the interaction of ${\bar{D}}_s{D}^{\ast }$ with the coupled channels $J/\psi K^{-}$, $K^{\ast -}{\eta }_c$, $D_s^{-}{D}^{\ast 0}$, $D_s^{\ast -}{D}^0$ by means of an extension to the charm sector of the local hidden gauge approach. We find that the $D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0$ combination couples to $J/\psi K^{-}$ and $K^{\ast -}{\eta }_c$, but the $D_s^{-}{D}^{\ast 0}-D_s^{\ast -}{D}^0$ combination does not. The coupled channels help to build up strength in the $D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0$ diagonal scattering matrix close to threshold and, although the interaction is not strong enough to produce a bound state or resonance, it is sufficient to produce a large accumulation of strength at the ${\bar{D}}_s{D}^{\ast }$ threshold in the $e^{+}{e}^{-}\to K^{+}(D_s^{\ast -}{D}^0+D_s^{-}{D}^{\ast 0})$ reaction in agreement with experiment.

arXiv comment7 pages, 2 figures: The title is changed

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• A unified description of the hidden-charm tetraquark states $Z_{cs}(3985)$, $Z_c(3900)$ and $X(4020)$
• Hidden-charm tetraquarks with strangeness in the chiral quark model
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• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Photoproduction of strange hidden-charm and hidden-bottom states
• Magnetic dipole moments of the $Z_c(4020{)}^{+}$, $Z_c(4200{)}^{+}$, $Z_{cs}(4000{)}^{+}$ and $Z_{cs}(4220{)}^{+}$ states in light-cone QCD
• Threshold effects as the origin of $Z_{cs}(4000)$, $Z_{cs}(4220)$ and $X(4700)$ observed in $B^{+}\to J/\psi \varphi K^{+}$
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• The possibility of $X(4014)$ as a $D^{\ast }{\bar{D}}^{\ast }$ molecular state
• $Z_{cs}$ states from the $D_s^{\ast }{\bar{D}}^{\ast }$ and $J/\psi K^{\ast }$ coupled channels: Signal in $B^{+}\to J/\psi \varphi K^{+}$ decay
• Production of $Z_{cs}$ in $B$ and $B_s$ decay
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• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory
• Spectrum of Hidden-Charm, Open-Strange Exotics in the Dynamical Diquark Model
• Hunting for the heavy quark spin symmetry partner of $Z_{cs}$
• Exotic hadrons associated with $b$-quark