The strong decay properties of the newly observed states $D_{sJ}(3040)$, $D_{sJ}(2860)$, and $D_{sJ}(2710)$ are studied in a constituent quark model with quark-meson effective Lagrangians. We find that the $D_{sJ}(3040)$ could be identified as the low-mass physical state $|2P_1{⟩}_L$ ($J^P=1^{+}$) from the $D_s(2{}^{1}P_1)\mathrm{\text{−}}{D}_s(2{}^{3}P_1)$ mixing. The $D_{sJ}(2710)$ is likely to be the low-mass mixed state $|(SD){⟩}_L$ via the $1{}^{3}D_1\mathrm{\text{−}}2{}^{3}S_1$ mixing. In our model, the $D_{sJ}(2860)$ cannot be assigned to any single state with a narrow width and compatible partial widths to $DK$ and $D^{*}K$. Thus, we investigate a two-state scenario as proposed in the literature. In our model, one resonance is likely to be the $1{}^{3}D_3$ ($J^P=3^{-}$), which mainly decays into $DK$. The other resonance seems to be the $|1D_2{}^{\prime }{⟩}_H$, i.e. the high-mass state in the $1{}^{1}D_2\mathrm{\text{−}}1{}^{3}D_2$ mixing with $J^P=2^{-}$, of which the $D^{*}K$ channel is its key decay mode. We also discuss implications arising from these assignments and give predictions for their partner states such as $|(SD{)}^{\prime }{⟩}_H$, $|2P_1^{\prime }{⟩}_H$, $2{}^{3}P_0$, and $2{}^{3}P_2$, which could be helpful for the search for these new states in future experiments.

• Received 12 November 2009

DOI:https://doi.org/10.1103/PhysRevD.81.014031