Assignment of charmed-strange Dₒ₀ (2590) ^+ and Dₒ₉ (3040) ^+

Based on analyses of the mass and the strong decay features, Dₒ₀ (2590) ^+ observed by LHCb collaboration is identified as a radial excitation of the pseudoscalar Dₛ, and Dₒ₉ (3040) ^+ observed by BaBar collaboration is identified as a radial excitation of Dₒ₁ (2536) ^. Dₒ₀ (2590) ^+ is possibly a pure Dₒ (2~¹S₀) meson, both basic Dₒ₁ (2536) ^ and radially excited Dₒ₉ (3040) ^+ are possibly the mixtures Dₛ (nP₁) between spin triplet Dₛ (n~³P₁) and spin singlet Dₛ (n~¹P₁). In this arrangement, their masses meet the linear behavior of the radial Regge trajectory very well. In the ³P₀ strong decay model, the decay channels of Dₒ₀ (2590) ^+ are D^*0K^+ and D^*+K⁰, the total decay width is predicted with =76. 12 MeV. The main decay channels of Dₒ₉ (3040) ^+ are D^*0K^+/D^*+K⁰ and D^*0K^*+/D^*+K^*0, the total decay width is predicted with =283. 46 MeV. These numerical strong decay results are consistent with the experiment data and support our arrangement. The dimensionless strength creation parameter plays an important role in the calculation, and =9. 57 is fixed through a comparison of the predicted strong decay widths of D^*ₒ₂ (2573) and D^*ₒ₃ (2860) ^ with experimental data.