Reanalysis of the (0^+,1^+) states B_{s0} and B_{s1} with QCD sum rules

TL;DR

This paper uses QCD sum rules to calculate the masses and decay constants of strange-bottomed mesons B_{s0} and B_{s1}, suggesting they are narrow states due to kinematic constraints on their decays.

Contribution

It provides a reanalysis of B_{s0} and B_{s1} states with updated QCD sum rule calculations, highlighting their potential narrow widths and decay mechanisms.

Findings

Masses are below the thresholds for strong decays.

Decays occur via isospin-violating processes involving eta and pi0.

B_{s0} and B_{s1} are likely very narrow states.

Abstract

In this article, we calculate the masses and decay constants of the $P$-wave strange-bottomed mesons $B_{s0}$ and $B_{s1}$ with the QCD sum rules, and observe that the central values of the masses of the $B_{s0}$ and $B_{s1}$ are smaller than the corresponding $BK$ and $B^*K$ thresholds respectively, the strong decays $B_{s0}\to BK$ and $B_{s1}\to B^*K$ are kinematically forbidden. They can decay through the isospin violation precesses $B_{s0}\to B_s\eta\to B_s\pi^0$ and $B_{s1}\to B_s^*\eta\to B_s^*\pi^0$. The bottomed mesons $B_{s0}$ and $B_{s1}$, just like their charmed cousins $D_{s0}(2317)$ and $D_{s1}(2460)$, maybe very narrow.