arXiv 0912.40942009-12hep-ph

通过新测量的$BR(D(D_s)\toη(η')+\bar l+ν_l$确定$η-η'$混合

Determining the $η-η'$ mixing by the newly measured $BR(D(D_s)\toη(η')+\bar l+ν_l$

Hong-Wei Ke, Xue-Qian Li, Zheng-Tao Wei

备注：: 11 pages and 3 figures, some changes were made. Accepted by EPJC
发表信息：: Eur.Phys.J.C69:133-138,2010
DOI：: 10.1140/epjc/s10052-010-1383-6

摘要：

$η-η'$或$η-η'-G$的混合具有重要的理论意义，因为它涉及到赝标介子和胶球的动力学和强子结构的许多方面。通过拟合数据确定混合参数绝非易事。为了从强子参与的过程中提取混合参数，需要对强子矩阵元进行理论计算。因此，模型依赖在某种程度上是不可避免的。实际上，不可能从唯一的实验中提取混合角，因为模型参数必须通过拟合其他实验来获得。最近，我们测量了$BR(D\toη+\bar l+ν_l)$和$BR(D_s\toη(η')+\bar l+ν_l)$，从而可以在没有末态相互作用污染的情况下，仅从D介子的半轻子衰变中确定$η-η'$混合。因此，我们希望可以在某种程度上减轻提取的模型依赖性。一旦测量了$BR(D\toη'+\bar l+ν_l)$，我们就可以进一步确定$η-η'-G$的所有混合参数。随着更多数据的积累，确定将更加准确。本文利用光阵面夸克模型计算了$D_{(s)}\to η^{(\prime)}$的跃迁矩阵元，并验证了该模型的可行性和合理性。

英文摘要：

The mixing of $η-η'$ or $η-η'-G$ is of a great theoretical interest, because it concerns many aspects of the underlying dynamics and hadronic structure of pseudoscalar mesons and glueball. Determining the mixing parameters by fitting data is by no means trivial. In order to extract the mixing parameters from the available processes where hadrons are involved, theoretical evaluation of hadronic matrix elements is necessary. Therefore model-dependence is somehow unavoidable. In fact, it is impossible to extract the mixing angle from a unique experiment because the model parameters must be obtained by fitting other experiments. Recently $BR(D\toη+\bar l+ν_l)$ and $BR(D_s\toη(η')+\bar l+ν_l)$ have been measured, thus we are able to determine the $η-η'$ mixing solely from the semileptonic decays of D-mesons where contamination from the final state interactions is absent. Thus we hope that the model-dependence of the extraction can be somehow alleviated. Once $BR(D\toη'+\bar l+ν_l)$ is measured, we can further determine all the mixing parameters for $η-η'-G$. As more data are accumulated, the determination will be more accurate. In this work, we obtain the transition matrix elements of $D_{(s)}\to η^{(\prime)}$ using the light-front quark model whose feasibility and reasonability for such processes have been tested.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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