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

Abstract

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 ${\Gamma }_X=\left(20.5\pm 8.1\right)\mathrm{MeV}$, which is consistent with the experimental data ${\Gamma }_X=\left(21.9\pm 6.4{}_{-2.5}^{+5.0}\right)\mathrm{MeV}$ from the D0 collaboration.

Comments: 10 pages, 13 figures