Study of $D_{sJ}$ decays to $D^*K$ in inclusive $e^+e^-$ interactions

We observe the decays $$D^*_{s1}(2710)^+ \to D^*K$and$D^*_{sJ}(2860)^+ \to D^*K$and measure their branching fractions relative to the$D K$final state. We also observe, in the$D^*K$mass spectrum, a new broad structure at a mass of$(3044 \pm 8_{stat} (^{+30}_{-5})_{syst})$$MeV/c^2$having a width$\Gamma=(239 \pm 35_{stat} (^{+46}_{-42})_{syst})$$MeV$. To obtain this result we use 470${\rm fb}^{-1}$of data recorded by the BaBar detector at the PEPII asymmetric-energy$e^+e^-$ storage rings at the Stanford Linear Accelerator Center running at center-of-mass energies near 10.6 GeV.