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arXiv 0904.2453hep-ph
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对$D_{s1}(2700)^\pm$和$D_{sJ}(2860)$的$c\bar s$赋值的影响

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

Ailin Zhang

摘要:

分析了$D_{s1}(2700)^\pm$和$D_{sJ}(2860)$在传统夸克模型中的可能赋值。研究表明,轨道激发的$c\bar s$和径向激发的$c\bar s$都是可能的。这些任务的一些影响进行了探讨。如果$D_{s1}(2700)^\pm$和$D_{sJ}(2860)$分别是轨道激发的D波$1^- (j^P={3\over 2}^-)$和$3^- (j^P={5\over 2}^-)$,则预期另一轨道激发的D波$2^-$ $D_s$,$D_{s2}(2800)$。如果$D_{s1}(2700)^\pm$和$D_{sJ}(2860)$分别是第一个径向激发的$1^- (j^P={1\over 2}^-)$和$0^+ (j^P={1\over 2}^+)$,则预期另外两个径向激发的$0^- D^\prime_s(2582)$和$1^+ D^\prime_{s1}(2973)$。$D_{s2}(2800)$和$D^\prime_{s1}(2973)$是混合状态。在径向激发的$D_s$中可能存在手征加倍关系,宇称伙伴($(0^-,1^-)$和$(0^+,1^+)$)之间的分裂为$\approx 280$ MeV。

英文摘要:

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 $1^- (j^P={3\over 2}^-)$ and $3^- (j^P={5\over 2}^-)$, 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 $1^- (j^P={1\over 2}^-)$ and $0^+ (j^P={1\over 2}^+)$, respectively, other two radially excited $0^- D^\prime_s(2582)$ and $1^+ D^\prime_{s1}(2973)$ are expected. $D_{s2}(2800)$ and $D^\prime_{s1}(2973)$ 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.

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