Fraction of the gluonium component in $\eta'$ and $\eta$
Fraction of the gluonium component in $\eta'$ and $\eta$
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$eta$ 和 $eta$ 中铷成分的分数
DOI：
10.1142/s0217751x11054796
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Xue–qian Li
中科院分区：
文献类型：
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作者：
H. Ke;Xuhao Yuan;Xue–qian Li
确定$\eta$和$\eta'$中gluonium成分的比例是一件有趣的事情，这已经被严肃地讨论了很多年。文献中采用了不同衰变和/或生产方式的测量，因此不可避免地存在较大的不确定性。本文建议利用$D$和$D_s$的半光子衰减数据来确定$\eta-\eta'-G$的混合角。同时提取混合角$\phi'$、$\phi_G$和模型参数。由于CLEO协作进行了新的测量，并且有足够的衰减模式来确定模型参数和混合角度。数据混合角度为$\phi'=(41.5\pm2.0)^\circ$和$\sin\phi_G=0.00\pm0.36$。尽管$\sin\phi_G$的中心值仍然是零，但是设置了一个上界。此外，如文献所述，$\eta(1405)$是胶球候选物，而在我们的图中，$\eta(1405)$可能被识别为$G$，其主要成分是胶原子。使用上面得到的所有模型参数，我们估计$D_s^+(D^+)\rightarrow Ge^+\nu_e$的分支比率，其中G被识别为$\eta(1405)$。
It is interesting to determine the fraction of the gluonium component in $\eta$ and $\eta'$ which has been under serious discussion for many years. Measurements on different decay and/or production modes were employed in literatures, thus larger uncertainties were unavoidable. In this paper we suggest to determine the mixing angles of $\eta-\eta'-G$ using the data of semileptonic decays of $D$ and $D_s$. We extract the mixing angles $\phi'$, $\phi_G$ and the model parameters simultaneously. Thanks to the new measurements carried out by CLEO Collaboration and there are sufficient decay modes to determine both the model parameters and mixing angles. The mixing angles from data are $\phi'=(41.5\pm2.0)^\circ$ and $\sin\phi_G=0.00\pm0.36$. Even though the central value of $\sin\phi_G$ is still zero, an upper bound is set. Moreover, as suggested in literature, $\eta(1405)$ is a glueball candidate whereas in our picture, $\eta(1405)$ may be identified as $G$ with glueonium being its main content. Using all the model-parameters obtained above, we estimate the branching ratios of $D_s^+(D^+)\rightarrow Ge^+\nu_e$ where G is identified as $\eta(1405)$.