$D_{sJ}(2860)$ and $D_{sJ}(2715)$

Abstract

Recently Babar Collaboration reported a new $c\bar{s}$ state $D_{sJ}(2860)$ and Belle Collaboration observed $D_{sJ}(2715)$. We investigate the strong decays of the excited $c\bar{s}$ states using the ${}^3{P}_0$ model. After comparing the theoretical decay widths and decay patterns with the available experimental data, we tend to conclude: (1) $D_{sJ}(2715)$ is probably the $1^{-}(1^3{D}_1)$ $c\bar{s}$ state although the $1^{-}(2^3{S}_1)$ assignment is not completely excluded; (2) $D_{sJ}(2860)$ seems unlikely to be the $1^{-}(2^3{S}_1)$ and $1^{-}(1^3{D}_1)$ candidate; (3) $D_{sJ}(2860)$ as either a $0^{+}(2^3{P}_0)$ or $3^{-}(1^3{D}_3)$ $c\bar{s}$ state is consistent with the experimental data; (4) experimental search of $D_{sJ}(2860)$ in the channels $D_s\eta$, $D{K}^{\ast }$, $D^{\ast }K$ and $D_s^{\ast }\eta$ will be crucial to distinguish the above two possibilities.

18 pages, 7 figures, 2 tables. Some discussions added. The final version to appear at EPJC

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