Newly observed D(2550), D(2610), and D(2760) as 2S and 1D charmed mesons

Abstract

We study three newly observed D(2550), D(2610), and D(2760) by the BaBar Collaboration utilizing the mass spectra and investigating the strong decays. Our calculation indicates that D(2610) is an admixture of $2^3S_1$ and $1^3D_1$ with $J^P=1^-$. $D(2760)$ can be explained as either the orthogonal partner of D(2610) or $1^3D_3$. Our estimate of the decay width for $D(2550)$, assuming it as $2^1S_0$, is far below the experimental value. the threshold effect because the strong decay of $D(2550)\to D_0^*\pi$ is forbidden.} The decay behavior of the remaining two 1D charmed mesons, i.e., $^3D_2$ and $^1D_2$ ($J^P=2^-$) states, is predicted, which will help future experimental search for these missing $D$-wave charmed mesons.