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

Abstract

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

Comments: 15 pages, 2 figures, revised version