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

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 $<D_s^* \phi | D_{s0}>$) and $G_A$(for $<D_s \phi | D_{s1}>$) 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 $\phi(1020)$, we study the radiative decays $D_{s0}\to D_s^* \gamma $ and $D_{s1}\to D_s \gamma $.