Systematic analysis of the $D_J(2580)$, $D_J^{\ast }(2650)$, $D_J(2740)$, $D_J^{\ast }(2760)$, $D_J(3000)$ and $D_J^{\ast }(3000)$ in $D$ meson family

In this work, we tentatively assign the charmed mesons $D_J(2580)$, $D_J^{\ast }(2650)$, $D_J(2740)$, $D_J^{\ast }(2760)$, $D_J(3000)$ and $D_J^{\ast }(3000)$ observed by the LHCb collaboration according to their spin-parity and masses, then study their strong decays to the ground state charmed mesons plus light pseudoscalar mesons with the ${}^3{P}_0$ model. According to these study, we assigned the $D_J^{\ast }(2760)$ as the $1D\frac{5}{2}{3}^{-}$ state, the $D_J^{\ast }(3000)$ as the $1F\frac{5}{2}{2}^{+}$ or $1F\frac{7}{2}{4}^{+}$ state, the $D_J(3000)$ as the $1F\frac{7}{2}{3}^{+}$ or $2P\frac{1}{2}{1}^{+}$ state in the $D$ meson family. As a byproduct, we also study the strong decays of $2P\frac{1}{2}{0}^{+}$,$2P\frac{3}{2}{2}^{+}$, $3S\frac{1}{2}{1}^{-}$, $3S\frac{1}{2}{0}^{-}$ etc, states, which will be helpful to further experimentally study mixings of these $D$ mesons.