Decoding the $X(5568)$ as a fully open-flavor $su\bar{b}\bar{d}$ tetraquark state

Abstract

We investigate the recent evidence for a charged $X(5568)$ meson as an exotic open-flavor tetraquark state $su\bar{b}\bar{d}$ with $J^P=0^{+}/1^{+}$ in the framework of QCD sum rules. We use the color antisymmetric $[{\bar{3}}_{\mathbf{c}}{]}_{su}\otimes [3_{\mathbf{c}}{]}_{\bar{b}\bar{d}}$ tetraquark currents in both scalar and axial-vector channels to perform evaluations and numerical analyses. Our results imply that the $X(5568)$ can be interpreted as both the scalar $su\bar{b}\bar{d}$ tetraquark state and the axial-vector one, which are in good agreement with the experimental measurement. We also discuss the possible decay patterns of the $X(5568)$ and suggest to search for its neutral partner in the radiative decay into $B_s^0\gamma$ and $B_s^{\ast }\gamma$, which can be used to determine its spin-parity quantum numbers. Moreover, we predict its charmed partner state around $2.55$ GeV with the quark content $su\bar{c}\bar{d}$ and $J^P=0^{+}/1^{+}$.

6 pages, 2 figures. Accepted by Phys. Rev. Lett

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