Comment on the Nature of the $D_{s1}^{\ast }(2710)$ and $D_{sJ}^{\ast }(2860)$ Mesons

Abstract

Two charm-strange mesons, the $D_{s1}^{\ast }(2710)$ and the $D_{sJ}^{\ast }(2860)$, have recently been observed by several experiments. There has been speculation in the literature that the $D_{s1}^{\ast }(2710)$ is the $2^3{S}_1(c\bar{s})$ state and the $D_{sJ}^{\ast }(2860)$ is the $1^3{D}_1(c\bar{s})$ state. In this paper we explore this and other explanations in the context of the relativized quark model and the pseudoscalar emission decay model. We conclude that the $D_{s1}^{\ast }(2710)$ is most likely the $1^3{D}_1(c\bar{s})$ state and the $D_{sJ}^{\ast }(2860)$ is most likely the $1^3{D}_3(c\bar{s})$ state with the $1D_2$ resonances also contributing to the observed signals and explaining the observed ratios of branching ratios to $D^{\ast }K$ and $DK$ final states. We point out that measuring the $D_{sJ}^{\ast }(2860)$ spin can support or eliminate this explanation and that there are six excited $D_s$ states in this mass region; the $2^3{S}_1$, $2^1{S}_0$, $1^3{D}_1$, $1^3{D}_3$ and two $1D_2$ states. Observing some of the missing states would help confirm the nature of the $D_{s1}^{\ast }(2710)$ and the $D_{sJ}^{\ast }(2860)$ states.

Comments: 8 pages, 2 figures