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arXiv · 1811.12821

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

Zhi-Gang Wang·Zun-Yan Di
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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 $g_{XJ/ψϕ}$ with the QCD sum rules based on solid quark-hadron duality, and obtain the decay width $Γ(X(4140)\to J/ψϕ)=86.9\pm22.6\,{\rm{MeV}}$, which is in excellent agreement with the experimental data $83\pm 21^{+21}_{-14} {\mbox{ MeV}}$ from the LHCb collaboration.

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Zhi-Gang Wang, Zun-Yan Di. 2018-12-30. Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state. https://doi.org/10.1140/epjc%2Fs10052-019-6596-8

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