Analysis of strong decays of the charmed mesons D(2550), D(2600), D(2750) and D(2760)

In this article, we study the strong decays of the newly observed charmed mesons $D(2550)$, $D(2600)$, $D(2750)$ and $D(2760)$ with the heavy quark effective theory in the leading order approximation, and tentatively identify the $(D(2550),D(2600))$ as the $2S$ doublet $(0^{-},1^{-})$ and the $(D(2750),D(2760))$ as the $1D$ doublet $(2^{-},3^{-})$, respectively. The identification of the $D(2750)$ and $D(2760)$ as the same particle with $J^P=3^{-}$ is disfavored.