Implication of BaBar's new data on the $D_{s1}(2710)$ and $D_{sJ}(2860)$

Abstract

The strong decays of the $D_{s1}(2710)$ and $D_{sJ}(2860)$ are investigated in the framework of the $^3P_0$ model. Its decay properties newly reported by the BaBar Collaboration can be reasonably accounted for in the presence of the $D_{s1}(2710)$ being a mixture of the $D_s(2 ^3S_1)$ and $D_s(1 ^3D_1)$. The orthogonal partner of the $D_{s1}(2710)$ is expected to have a mass of about $2.66\sim 2.9$ GeV in quark models and a width of about $40\sim 60$ MeV in the $^3P_0$ model. The predicted decay properties turn out to be consistent with the BaBar's new data in both the orthogonal partner of the $D_{s1}(2710)$ and the $D_s(1 ^3D_3)$ interpretations for the $D_{sJ}(2860)$. The available experimental information is not enough to distinguish these two possibilities. The $E1$ radiative transitions of the $D_{s1}(2710)$ and $D_{sJ}(2860)$ are also studied. We tend to conclude that the $D_{s1}(2710)$ can be identified as a mixture of the $D_s(2 ^3S_1)$ and $D_s(1 ^3D_1)$, and the $D_{sJ}(2860)$ could be either the orthogonal partner of the $D_{s1}(2710)$ or the $D_s(1 ^3D_3)$. Further experimental information on the $D_{sJ}(2860)$ in the $D_s\eta$, $D^\ast_s\eta$, and $DK^\ast$ channels is needed.