Analysis of the strong decay $X(5568)\to B_s^0{\pi }^{+}$ with QCD sum rules

In this article, we take the $X(5568)$ to be the scalar diquark-antidiquark type tetraquark state, study the hadronic coupling constant $g_{X{B}_s\pi }$ with the three-point QCD sum rules by carrying out the operator product expansion up to the vacuum condensates of dimension-6 and including both the connected and disconnected Feynman diagrams, then calculate the partial decay width of the strong decay $X(5568)\to B_s^0{\pi }^{+}$ and obtain the value ${\mathrm{\Gamma }}_X=(20.5\pm 8.1)\mathrm{M}\mathrm{e}\mathrm{V}$, which is consistent with the experimental data $\Gamma_X = \left(21.9 \pm 6.4 {}^{+5.0}_{-2.5}\right),\rm{MeV}$ from the D0 collaboration.