$D_{sJ}^*(2860)$ which would settle whether it is the $1^3D_3(c\bar{s})$ or one of the $J^P=1^-$ states. With sufficient statistics one could also determine whether there is more than one state contributing to both the $D_{s1}^*(2710)^\pm$ and $D_{sJ}^*(2860)$ bumps. This would be able to rule out or confirm our suggestion of overlapping resonances.

Six states are predicted to lie in this mass region, the $2^1S_0$, $2^3S_1$ and the 4 D-wave states, but only two states have been observed. Observing the 4 missing states would go a long way to shed light on these states. We predict the $D_s(2^1S_0)$ mass to be 2673 MeV and to be relatively narrow decaying predominantly to the $D^*K$ final state. It should therefore be possible to observe it in $D^*K$ by the experiments that have seen the $D_{s1}^*(2710)^\pm$ and $D_{sJ}^*(2860)$ in this final state. If the $D_{s1}^*(2710)^\pm$ is in fact the $1^3D_1$ $c\bar{s}$ it should also be possible to observe the $2^3S_1$ $c\bar{s}$ in $DK$ and $D^*K$ final states. If it isn’t, as stated previously, it will be important to measure the $D_{sJ}^*(2860)$ spin to distinguish between the $1^3D_1$ and $1^3D_3$. Finally, we expect the $1D_2$ states to be close in mass to the $1^3D_1$ and $1^3D_3$ 