The $D_{sJ}^*(2860)$ Mesons as Excited D-wave $c\bar{s}$ States

Abstract

A new charm-strange meson, the $D_{s1}^*(2863)$, has recently been observed by the LHCb collaboration which also determined the $D_{sJ}^*(2860)$ to have spin 3. One of the speculations about the previously observed $D_{s1}^*(2710)$ is that it is the $1^3D_1(c\bar{s})$ state. In this paper we reexamine the quark model properties and assignments of these three states in light of these new measurements. We conclude that the $D_{s1}^*(2863)$ and $D_{s3}^*(2863)$ are the $1^3D_1 (c\bar{s})$ and $1^3D_3 (c\bar{s})$ states respectively and the $D_{s1}^*(2710)$ is the $2^3S_1(c\bar{s})$ state. In addition to these three states there are another three excited $D_s$ states in this mass region still to be found; the $2^1S_0$ and two $1D_2$ states. We calculate the properties of these states and expect that LHCb has the capability of observing these states in the near future.