Investigation of $cs\bar{c}\bar{s}$ tetraquark in the chiral quark model

Abstract

Inspired by the recent observation of exotic resonances $X(4140)$, $X(4274)$, $X(4350)$, $X(4500)$ and $X(4700)$ reported by several experiment collaborations, we investigated the four-quark system $cs\bar{c}\bar{s}$ with quantum numbers $J^{PC}=1^{++}$ and $0^{++}$ in the framework of the chiral quark model. Two configurations, diquark-antidiquark and meson-meson, with all possible color structures are considered. The results show that no molecular state can be formed, but the resonance may exist if the color structure of meson-meson configuration is $8\otimes 8$. In the present calculation, the $X(4274)$ can be assigned as the $cs\bar{c}\bar{s}$ tetraquark states with $J^{PC}=1^{++}$, but the energy of $X(4140)$ is too low to be regarded as the tetraquark state. $X(4350)$ can be a good candidate of compact tetraquark state with $J^{PC}=0^{++}$. When the radial excitation is taken into account, the $X(4700)$ can be explained as the $2S$ radial excited tetraquark state with $J^{PC}=0^{++}$. As for $X(4500)$, there is no matching state in our calculation.

7 pages, 4 figures

References in corpus (8)

• Constituent quark model study of the meson spectra
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Quark-model study of few-baryon systems
• The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Interpretation of Axial Resonances in J/psi-phi at LHCb
• Canonical description of the new LHCb resonances
• Study of B{+-,0} --> J/ψ K+ K- K{+-,0} and search for B0 --> J/ψ ϕ at BABAR

Cited by in corpus (11)

• Pentaquark and Tetraquark states
• Tetra- and penta-quark structures in the constituent quark model
• Doubly-heavy tetraquarks
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Can the state $Y(4626)$ be a $P$-wave tetraquark state $[cs][\bar{c}\bar{s}]$?
• Threshold effects as the origin of $Z_{cs}(4000)$, $Z_{cs}(4220)$ and $X(4700)$ observed in $B^{+}\to J/\psi \varphi K^{+}$
• $Y(4626)$ in a chiral constituent quark model
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• The strong coupling $g_{XJ/\psi \varphi }$ of $X(4700)\to J/\psi \varphi$ in the light-cone sum rules
• The explanation of some exotic states in the $cs\bar{c}\bar{s}$ tetraquark system