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arXiv 0710.1029hep-ph
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介子Z^+（4430）的QCD求和规则研究

QCD sum rules study of the meson Z^+(4430)

Su Houng Lee, Antonio Mihara, Fernando S. Navarra, Marina Nielsen

备注：
2 new figures included. version accepted for publication in Phys. Lett. B
发表信息：
Phys.Lett.B661:28-32,2008
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摘要：

我们用QCD求和规则研究了最近观测到的介子$Z^+(4430)$，它被认为是一个具有$J^{P}=0^{-}$的$D^*D_1$分子。我们考虑的贡献凝聚到八维和工作在$α_s$领先秩序。我们得到的$m_Z=(4.40\pm0.10) \GeV$与实验值非常吻合。我们还对类似的介子$Z_{s}$和$Z_{bb}$分别作了$D_s^*D_1$和$B^*B_1$分子的预言。对于$Z_{s}$，我们预测$m_{Z_{s}}= (4.70\pm 0.06) {\rm GeV}$，它高于$D_s^*D_1$阈值，表明它可能是一个非常广泛的状态，因此，很难在实验中看到。对于$Z_{bb}$，我们预测$m_{Z_{bb}}= (10.74\pm 0.12) {\rm GeV}$，与夸克模型预测一致。

英文摘要：

We use QCD sum rules to study the recently observed meson $Z^+(4430)$, considered as a $D^*D_1$ molecule with $J^{P}=0^{-}$. We consider the contributions of condensates up to dimension eight and work at leading order in $α_s$. We get $m_Z=(4.40\pm0.10) \GeV$ in a very good agreement with the experimental value. We also make predictions for the analogous mesons $Z_{s}$ and $Z_{bb}$ considered as $D_s^*D_1$ and $B^*B_1$ molecules respectively. For $Z_{s}$ we predict $m_{Z_{s}}= (4.70\pm 0.06) {\rm GeV}$, which is above the $D_s^*D_1$ threshold, indicating that it is probably a very broad state and, therefore, difficult to be experimentally seen. For $Z_{bb}$ we predict $m_{Z_{bb}}= (10.74\pm 0.12) {\rm GeV}$, in agreement with quark model predictions.

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