Structure of the $(0^+,1^+)$ mesons $B_{s0}$ and $B_{s1}$, and the strong coupling constants $g_{B_{s0} B K}$ and $g_{B_{s1} B^* K}$

TL;DR

This paper calculates the strong coupling constants of bottomed mesons $B_{s0}$ and $B_{s1}$ using light-cone QCD sum rules, supporting their hadronic dressing mechanism and potential mixed-state nature.

Contribution

It provides the first calculation of the strong coupling constants $g_{B_{s0} B K}$ and $g_{B_{s1} B^* K$ for these mesons, highlighting their large values and implications for meson structure.

Findings

Strong coupling constants are very large, supporting hadronic dressing.

The mesons may have small $bar{s}$ cores with significant hadronic components.

Masses may be smaller than traditional quark model predictions due to hadronic effects.

Abstract

In this article, we take the point of view that the bottomed $(0^+,1^+)$ mesons $B_{s0}$ and $B_{s1}$ are the conventional $b\bar{s}$ meson, and calculate the strong coupling constants $g_{B_{s0} B K}$ and $g_{B_{s1} B^* K}$ with the light-cone QCD sum rules. The numerical values of strong coupling constants $g_{B_{s1} B^* K}$ and $g_{B_{s0} B K}$ are very large, and support the hadronic dressing mechanism. Just like the scalar mesons $f_0(980)$, $a_0(980)$, $D_{s0}$ and axial-vector meson $D_{s1}$, the $(0^+,1^+)$ bottomed mesons $B_{s0}$ and $B_{s1}$ may have small $b\bar{s}$ kernels of the typical $b\bar{s}$ meson size, the strong couplings to the hadronic channels (or the virtual mesons loops) may result in smaller masses than the conventional $b\bar{s}$ mesons in the potential quark models, and enrich the pure $b\bar{s}$ states with other components.