Radiative decays of the $D_{s0}(2317)$, $D_{s1}(2460)$ and the related strong coupling constants

Abstract

In this article, we take the point of view that the charmed mesons $D_{s0}(2317)$ and $D_{s1}(2460)$ with the spin-parity $0^{+}$ and $1^{+}$ respectively are the conventional $c\bar{s}$ states, and calculate the strong coupling constants $G_S$(for $<D_s^{\ast }\varphi |D_{s0}>$) and $G_A$(for $<D_s\varphi |D_{s1}>$) in the framework of the light-cone QCD sum rules approach. The strong coupling constants $G_S$ and $G_A$ are related to the basic parameter $\hat{\mu }$ in the heavy quark effective Lagrangian, the numerical value is larger than the existing estimation. With the assumption of the vector meson dominance of the intermediate $\varphi (1020)$, we study the radiative decays $D_{s0}\to D_s^{\ast }\gamma$ and $D_{s1}\to D_s\gamma$.

Comments: 16 pages, 4 figures, revised version (correct writing errors)