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arXiv 1105.5935hep-ph
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手征夸克模型中$Z_b$(10610)和$Z_b$(10650)的可能解释

Possible interpretation of the $Z_b$(10610) and $Z_b$(10650) in a chiral quark model

Youchang Yang, Jialun Ping, Chengrong Deng, Hong-Shi Zong

摘要:

基于Belle合作组新观测到的两个荷电类底鎓共振$Z_b$(10610)和$Z_b$(10650),在手征夸克模型的框架下,利用高斯展开方法研究了S波中由一对重介子$B\bar{B}, B\bar{B}^*, B^*\bar{B}^*, B_s\bar{B}$等组成的分子可能态.得到了量子数为$I(J^{PC})=1(1^{+-})$的束缚态$B\bar{B}^*$和$B^*\bar{B}^*$,它们分别是$Z_b(10610)$和$Z_b(10650)$的候选者.预测了另外三种束缚态$B\bar{B}^*$与$I(J^{PC})=0(1^{++})$、$B^*\bar{B}^*$与$I(J^{PC})=1(0^{++}), 0(2^{++})$.在高激发态$Υ$的开底或隐底衰变通道中都可以观察到这些态。将夸克模型直接推广到多夸克系统的隐色通道时,发现了更深的束缚态,这些束缚态的进一步实验研究将使手征组分夸克模型直接推广到隐色通道的有效性受到质疑。

英文摘要:

Motivated by the two charged bottomonium-like resonances $Z_b$(10610) and $Z_b$(10650) newly observed by the Belle collaboration, the possible molecular states composed of a pair of heavy mesons, $B\bar{B}, B\bar{B}^*, B^*\bar{B}^*, B_s\bar{B}$, etc (in S-wave), are investigated in the framework of chiral quark models by the Gaussian expansion method. The bound states $B\bar{B}^*$ and $B^*\bar{B}^*$ with quantum numbers $I(J^{PC})=1(1^{+-})$, which are good candidates for the $Z_b(10610)$ and $Z_b(10650)$ respectively, are obtained. Other three bound states $B\bar{B}^*$ with $I(J^{PC})=0(1^{++})$, $B^*\bar{B}^*$ with $I(J^{PC})=1(0^{++}), 0(2^{++})$ are predicted. These states may be observed in open-bottom or hidden-bottom decay channel of highly excited $Υ$. When extending directly the quark model to the hidden color channel of the multi-quark system, more deeply bound states are found. Future experimental search of those states will cast doubt on the validity of applying the chiral constituent quark model to the hidden color channel directly.

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