Assignment of charmed-strange Ds0(2590)+ and DsJ(3040)+

Based on analyses of the mass and the strong decay features, $D_{s0}{\left(2590\right)}^{+}$ observed by LHCb collaboration is identified as a radial excitation of the pseudoscalar $D_s$, and $D_{sJ}{\left(3040\right)}^{+}$ observed by BaBar collaboration is identified as a radial excitation of $D_{s1}{\left(2536\right)}^{\pm }$. $D_{s0}{\left(2590\right)}^{+}$ is possibly a pure $D_s\left(2{}^{1}S_0\right)$ meson, both basic $D_{s1}{\left(2536\right)}^{\pm }$ and radially excited $D_{sJ}{\left(3040\right)}^{+}$ are possibly the mixtures $D_s\left(n{P}_1\right)$ between spin triplet $D_s\left(n{}^{3}P_1\right)$ and spin singlet $D_s\left(n{}^{1}P_1\right)$. In this arrangement, their masses meet the linear behavior of the radial Regge trajectory very well. In the ${}^{3}P_0$ strong decay model, the decay channels of $D_{s0}{\left(2590\right)}^{+}$ are $D^{⁎0}{K}^{+}$ and $D^{⁎+}{K}^0$, the total decay width is predicted with $\Gamma =76.12$ MeV. The main decay channels of $D_{sJ}{\left(3040\right)}^{+}$ are $D^{⁎0}{K}^{+}$/$D^{⁎+}{K}^0$ and $D^{⁎0}{K}^{⁎+}$/$D^{⁎+}{K}^{⁎0}$, the total decay width is predicted with $\Gamma =283.46$ MeV. These numerical strong decay results are consistent with the experiment data and support our arrangement. The dimensionless strength creation parameter γ plays an important role in the calculation, and $\gamma =9.57$ is fixed through a comparison of the predicted strong decay widths of $D_{s2}^{⁎}\left(2573\right)$ and $D_{s3}^{⁎}{\left(2860\right)}^{\pm }$ with experimental data.