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In this article, we calculate the strong coupling constants $g_{B_{s0} B_s\eta}$ and $g_{B_{s1} B^*_s \eta}$ with the light-cone QCD sum rules. Then wetake into account the small $\eta-\pi^0$ transition matrix according toDashen's theorem, and obtain the small decay widths for the isospin violationprocesses $B_{s0}\to B_s\eta\to B_s\pi^0$ and $B_{s1}\to B_s^*\eta\toB_s^*\pi^0$. We can search the strange-bottomed $(0^+,1^+)$ mesons $B_{s0}$ and$B_{s1}$ in the invariant $B_s \pi^0$ and $B^*_s \pi^0$ mass distributionsrespectively.

Strong decays $B_{s0} \to B_s \pi$ and $B_{s1} \to B^*_s \pi $ with light-cone QCD sum rules