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In this work, we perform a dynamical study of the $B^{(*)}$ and $\bar K$interaction and show that the newly reported $X(5568)$ or $X(5616)$ cannot beassigned to be an isovector $B\bar{K}$ or $B^*\bar{K}$ molecular state. Wecontinue to investigate the isoscalar $B^{(*)}\bar{K}$ systems, and the$B^{(*)}\bar{K}$ systems with isospin $I=0,1$, and predict the existence ofseveral isoscalar $B^{(*)}\bar K^{(*)}$ molecular states. A new task ofexploring open-bottom molecular states will be created for future experiments.

Is the newly reported $X(5568)$ a $B\bar{K}$ molecular state?