Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state

Abstract

In this article, we construct both the $[sc{]}_T[\bar{s}\bar{c}{]}_A+[sc{]}_A[\bar{s}\bar{c}{]}_T$ type and $[sc{]}_T[\bar{s}\bar{c}{]}_V-[sc{]}_V[\bar{s}\bar{c}{]}_T$ type axialvector currents with $J^{PC}=1^{++}$ to study the mass of the $X(4140)$ with the QCD sum rules. The predicted masses support assigning the $X(4140)$ to be the $[sc{]}_T[\bar{s}\bar{c}{]}_V-[sc{]}_V[\bar{s}\bar{c}{]}_T$ type axialvector tetraquark state. Then we study the hadronic coupling constant $g_{XJ/\psi \varphi }$ with the QCD sum rules based on solid quark-hadron duality, and obtain the decay width $\Gamma (X(4140)\to J/\psi \varphi )=86.9\pm 22.6\mathrm{MeV}$, which is in excellent agreement with the experimental data $83\pm 21^{+21}_{-14} {\mbox{ MeV}}$ from the LHCb collaboration.

17 pages, 5 figures

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• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Strong decays of the $Y(4660)$ as a vector tetraquark state in solid quark-hadron duality
• The newly observed $Z_{cs}(3985{)}^{-}$ state: in vacuum and a dense medium
• Analysis of the pseudoscalar hidden-charm tetraquark states with the QCD sum rules
• The strange cousin of the $Z_c(4020/4025)$ as tetraquark state
• Revisit the $Z_c(4025)$ structure observed by BESIII in the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm ,0}{\pi }^{\mp ,0}$ reactions at $\sqrt{s}=4.26$ GeV