Inspired by the newly observed $D_{sJ}(3040{)}^{+}$ state, in this work we systemically study the two-body strong decays of P-wave charmed-strange mesons with the first radial excitation. Under the assignment of $1^{+}(j^P={\frac{1}{2}}^{+})$, i.e. the first radial excitation of $D_{s1}(2460{)}^{+}$, we find that the width of $D_{sJ}(3040{)}^{+}$ is close to the lower limit of the BABAR measurement. This indicates that it is reasonable to interpret $D_{sJ}(3040{)}^{+}$ as the first radial excitation of $D_{s1}(2460{)}^{+}$. Our calculation further predicts that $0^{-}+1^{-}$ channels, e.g., $D^{+}{K}^{*0}$, $D^0{K}^{*+}$, and $D_s^{+}\varphi$, are important for the search for $D_{sJ}(3040{)}^{+}$. To help future experiments find the remaining three P-wave charmed-strange mesons with the first radial excitation, we present the predictions for the strong decays of these three P-wave charmed-strange mesons.

• Received 11 September 2009

DOI:https://doi.org/10.1103/PhysRevD.80.074037