Analysis of the charmed mesons $D_{1}^{*}(2680)$, $D_{3}^{*}(2760)$ and $D_{2}^{*}(3000)$

In this work, we systematically study the strong decay behaviors of the charmed mesons $D_{1}^{*}(2680)$, $D_{3}^{*}(2760)$ and $D_{2}^{*}(3000)$ reported by the LHCb collaboration. By comparing the masses and the decay properties with the results of the experiment, we assigned these newly observed mesons as the $2Sfrac{1}{2}1^{-}$, $1Dfrac{5}{2}3^{-}$ and $1Ffrac{5}{2}2^{+}$ states respectively. As a byproduct, we also study the strong decays of the unobserved $2Pfrac{3}{2}2^{+}$ and $2Ffrac{5}{2}2^{+}$ charmed mesons, which is helpful to the future experiments in searching for these charmed mesons.