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

TL;DR

This paper calculates the strong decay coupling constants for strange-bottomed mesons using light-cone QCD sum rules, predicting small isospin-violating decay widths that can guide experimental searches.

Contribution

It introduces a method to compute decay coupling constants for $B_{s0}$ and $B_{s1}$ mesons and predicts their small isospin-violating decay widths, aiding experimental identification.

Findings

Calculated coupling constants $g_{B_{s0} B_s ext{ and } g_{B_{s1} B^*_s}$.

Predicted small decay widths for isospin-violating processes.

Suggested experimental search channels in invariant mass distributions.

Abstract

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 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 $B_{s1}\to B_s^*\eta\to B_s^*\pi^0$. 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 distributions respectively.