Implications to $c\bar{s}$ assignments of $D_{s1}(2700{)}^{\pm }$ and $D_{sJ}(2860)$

Abstract

Possible assignments of $D_{s1}(2700{)}^{\pm }$ and $D_{sJ}(2860)$ in the conventional quark model are analyzed. The study indicates that both the orbitally excited $c\bar{s}$ and the radially excited $c\bar{s}$ are possible. Some implications to these assignments are explored. If $D_{s1}(2700{)}^{\pm }$ and $D_{sJ}(2860)$ are the orbitally excited D-wave $1^{-}(j^P={\frac{3}{2}}^{-})$ and $3^{-}(j^P={\frac{5}{2}}^{-})$, respectively, another orbitally excited D-wave $2^{-}$ $D_s$, $D_{s2}(2800)$, is expected. If $D_{s1}(2700{)}^{\pm }$ and $D_{sJ}(2860)$ are the first radially excited $1^{-}(j^P={\frac{1}{2}}^{-})$ and $0^{+}(j^P={\frac{1}{2}}^{+})$, respectively, other two radially excited $0^{-}{D}_s^{\prime }(2582)$ and $1^{+}{D}_{s1}^{\prime }(2973)$ are expected. $D_{s2}(2800)$ and $D_{s1}^{\prime }(2973)$ are mixing states. The chiral doubling relation may exist in radially excited $D_s$, the splitting between the parity partners(the $(0^{-},1^{-})$ and the $(0^{+},1^{+})$) is $\approx 280$ MeV.

Comments: 4 pages, 4 tables, RevTex