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In this paper, we systematically calculate two-body strong decays of newlyobserved $D_J(3000)$ and $D_{sJ}(3040)$ with 2P$(1^+)$ and 2P$(1^{+\prime})$assignments in an instantaneous approximation of the Bethe-Salpeter equationmethod. Our results show that both resonances can be explained as the2P$(1^{+'})$ with broad width via $^3P_1$ and $^1P_1$ mixing in $D$ and $D_s$families. For $D_J(3000)$, the total width is 229.6 MeV in our calculation,close to the upper limit of experimental data, and the dominant decay channelsare $D_2^*\pi$, $D^*\pi$, and $D^*(2600)\pi$. For $D_{sJ}(3040)$, the totalwidth is 157.4 MeV in our calculation, close to the lower limit of experimentaldata, and the dominant channels are $D^*K$ and $D^*K^*$. These results areconsistent with observed channels in experiments. Given the very littleinformation that has been obtained from experiments and the large error bars ofthe total decay widths, we recommend the detection of dominant channels in ourcalculation.

Strong decays of $D_J(3000)$ and $D_{sJ}(3040)$