$D_s$ mesons are investigated in a semiclassic flux tube model where the spin-orbit interaction is taken into account. Spectrum of $D$-wave $D_s$ is predicted. The predicted spectrum is much lower than most previous predictions. Analysis of some $D_s$ candidates is made. $D_{sJ}(2632{)}^{+}$ may be a $1^{-}$ $j^P={\frac{3}{2}}^{-}$ or 1 ${}^{3}D_1$) orbitally excited $D_s$ meson if it really exists. $D_{s1}(2700{)}^{\pm }$ is very possibly the first radially excited $1^{-}$ ($j^P={\frac{1}{2}}^{-}$ or 2 ${}^{3}S_1$) $D_s$ meson [the first radial excitation of $D_s^{\star \pm }(2112{)}^0$]. $D_{sJ}^{\star }(2860{)}^{+}$ should be a $3^{-}$ ($j^P={\frac{5}{2}}^{-}$ or 1 ${}^{3}D_3$) orbitally excited $D_s$ meson, and $D_{sJ}(3040{)}^{+}$ is the first radially excited $1^{+}$ ($j^P={\frac{1}{2}}^{+}$) $D_s$ meson. Our conclusions are consistent with the latest BABAR experiment.

• Received 24 August 2009

DOI:https://doi.org/10.1103/PhysRevD.80.071502