Structure of the axial-vector meson $D_{s1}(2460)$ and the strong coupling constant $g_{D_{s1}{D}^{\ast }K}$ with the light-cone QCD sum rules

Abstract

In this article, we take the point of view that the charmed axial-vector meson $D_{s1}(2460)$ is the conventional $c\bar{s}$ meson and calculate the strong coupling constant $g_{D_{s1}{D}^{\ast }K}$ in the framework of the light-cone QCD sum rules approach. The numerical values of strong coupling constants $g_{D_{s1}{D}^{\ast }K}$ and $g_{D_{s0}DK}$ are very large, and support the hadronic dressing mechanism. Just like the scalar mesons $f_0(980)$ and $a_0(980)$, the scalar meson $D_{s0}(2317)$ and axial-vector meson $D_{s1}(2460)$ may have small $c\bar{s}$ kernels of the typical $c\bar{s}$ meson size, the strong couplings to the hadronic channels (or the virtual mesons loops) may result in smaller masses than the conventional $c\bar{s}$ mesons in the constituent quark models, and enrich the pure $c\bar{s}$ states with other components.

Comments: 17 pages, 7 figures, revised version. In the first version, I take the value $f_{D_{s1}}=(0.25\pm 0.02)GeV$ in numerical calculation, in the revised version, I take a small value $f_{D_{s1}}=(0.225\pm 0.020)GeV$, the value of the strong coupling constant is also changed