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.

arXiv comment17 pages, 5 figures

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• Assignments of the $X(4140)$, $X(4500)$, $X(4630)$ and $X(4685)$ based on the QCD sum rules
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• Analysis of the pseudoscalar hidden-charm tetraquark states with the QCD sum rules
• The decay widths of the $Z_{cs}(3985/4000)$ based on rigorous quark-hadron duality
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• The strange cousin of the $Z_c(4020/4025)$ as tetraquark state
• Analysis of the hidden-charm-hidden-strange tetraquark mass spectrum via the QCD sum rules
• Analysis of the vector hidden-charm-hidden-strange tetraquark states with implicit P-waves
• Triply-charmed hexaquark states with the QCD sum rules
• Analysis of the decay $Y(4500)\to D^{\ast }{\bar{D}}^{\ast }\pi$ with the light-cone QCD sum rules
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• The ground states and first radial excitations of the vector tetraquark states with explicit P-waves via the QCD sum rules
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• The strong coupling $g_{XJ/\psi \varphi }$ of $X(4700)\to J/\psi \varphi$ in the light-cone sum rules
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• 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
• Analysis of the $X(4475/4710)$, $X(4500/4700)$, $Z_c(4600)$, $Z_{\bar{c}\bar{s}}(4600)$ and related tetraquark states with the QCD sum rules