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

Abstract

A new charm-strange meson, the $D_{s1}^{\ast }(2863)$, has recently been observed by the LHCb collaboration which also determined the $D_{sJ}^{\ast }(2860)$ to have spin 3. One of the speculations about the previously observed $D_{s1}^{\ast }(2710)$ is that it is the $1^3{D}_1(c\bar{s})$ 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 $D_{s1}^{\ast }(2863)$ and $D_{s3}^{\ast }(2863)$ are the $1^3{D}_1(c\bar{s})$ and $1^3{D}_3(c\bar{s})$ states respectively and the $D_{s1}^{\ast }(2710)$ is the $2^3{S}_1(c\bar{s})$ state. In addition to these three states there are another three excited $D_s$ states in this mass region still to be found; the $2^1{S}_0$ 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.

Modified to reflect erratum to the paper. Does not change the paper's conclusions. We found a phase error in the strong decay amplitude which affected the D_2 and D_2' partial widths due to triplet-single mixing of the components. The table has been corrected and the 2nd and 3rd last lines of the discussion section were modified to reflect this change

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