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The potential of the $B$ meson and the pseudoscalar meson is constructed upto the next-to-leading order Lagrangian, and then the $B \bar{K}$ and $B_s \pi$interaction is studied in the unitary coupled-channel approximation, and aresonant state with a mass about $5568MeV$ and $J^P=0^+$ is generateddynamically, which can be associated with the $X(5568)$ state announced by D0Collaboration recently. The mass and the decay width of this resonant statedepend on the regularization scale in the dimensional regularization scheme, orthe maximum momentum in the momentum cutoff regularization scheme. Thescattering amplitude of the vector $B$ meson and the pseudoscalar meson iscalculated, and an axial-vector state with a mass near $5620MeV$ and $J^P=1^+$is produced. Moreover, their partners in the charm sector are also discussed.

Study of X(5568) in a unitary coupled-channel approximation of $B \bar{K}$ and $B_s \pi$