Hidden charm tetraquark states in a diquark model

Abstract

The purpose of the present study is to explore the mass spectrum of the hidden charm tetraquark states within a diquark model. Proposing that a tetraquark state is composed of a diquark and an antidiquark, the masses of all possible $[qc][\bar{q}\bar{c}]$, $[sc][\bar{s}\bar{c}]$, and $[qc][\bar{s}\bar{c}]$ $\left([sc][\bar{q}\bar{c}]\right)$ hidden charm tetraquark states are systematically calculated by use of an effective Hamiltonian, which contains color, spin, and flavor dependent interactions. Apart from the $X(3872)$, $Z(3900)$, ${\chi }_{c2}(3930)$, and $X(4350)$ which are taken as input to fix the model parameters, the calculated results support that the ${\chi }_{c0}(3860)$, $X(4020)$, $X(4050)$ are $[qc][\bar{q}\bar{c}]$ states with $I^G{J}^{PC}=0^{+}{0}^{++}$, $1^{+}{1}^{+-}$, and $1^{-}{2}^{++}$, respectively, the ${\chi }_{c1}(4274)$ is an $[sc][\bar{s}\bar{c}]$ state with $I^G{J}^{PC}=0^{+}{1}^{++}$, the $X(3940)$ is a $[qc][\bar{q}\bar{c}]$ state with $I^G{J}^{PC}=1^{-}{0}^{++}$ or $1^{-}{1}^{++}$, the $Z_{cs}(3985{)}^{-}$ is an $[sc][\bar{q}\bar{c}]$ state with $J^P=0^{+}$ or $1^{+}$, and the $Z_{cs}(4000{)}^{+}$ and $Z_{cs}(4220{)}^{+}$ are $[qc][\bar{s}\bar{c}]$ states with $J^P=1^{+}$. Predictions for other possible tetraquark states are also given.

arXiv comment9 pages. Version published in Phys. Rev. D

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• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
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• Charmonium states in a coupled-channel model
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• Production of the $X(4014)$ as the spin-2 partner of $X(3872)$ in $e^{+}{e}^{-}$ collisions
• Decay properties of the $X(3872)$ through the Fierz rearrangement
• Doubly charmed hexaquarks in the diquark picture
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• $X$ and $Z_{cs}$ in $B^{+}\to J/\psi \varphi K^{+}$ as $s$-wave threshold cusps and alternative spin-parity assignments to $X(4274)$ and $X(4500)$
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Search for hidden-charm tetraquark with strangeness in $e^{+}{e}^{-}\to K^{+}{D}_s^{\ast -}{D}^{\ast 0}+c.c.$
• ${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective
• 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 $Z_{cs}$
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• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays