Abstract

With the identification of $({D}_{sJ}(2317),{D}_{sJ}(2460))$ as the $({0}^{+},{1}^{+})$ doublet in the heavy quark effective field theory, we derive the light-cone QCD sum rule for the coupling of an eta meson with ${D}_{sJ}(2317){D}_{s}$ and ${D}_{sJ}(2460){D}_{s}^{*}$. Through $\ensuremath{\eta}\ensuremath{-}{\ensuremath{\pi}}^{0}$ mixing we calculate their pionic decay widths, which are consistent with the experimental values (or upper limits). Combining the radiative decay widths derived by Colangelo, Fazio, and Ozpineci in the same framework, we conclude that the decay patterns of ${D}_{sJ}(2317,2460)$ strongly support their interpretation as ordinary $c\overline{s}$ mesons.

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