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

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 $g_{XJ\mathrm{/}\psi \varphi }$ with the QCD sum rules based on solid quark-hadron duality, and obtain the decay width $\mathrm{\Gamma }(X(4140)\to J\mathrm{/}\psi \varphi )=86.9\pm 22.6\mathrm{M}\mathrm{e}\mathrm{V}$, which is in excellent agreement with the experimental data $83\pm 21_{-14}^{+21}MeV$ from the LHCb collaboration.