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The European Physical Journal C

, Volume 69, Issue 1–2, pp 133–138 | Cite as

Determining the ηη′ mixing by the newly measured \(\mathit{BR}(D(D_{s})\to\eta(\eta')+\bar{l}+\nu_{l}\)

  • Hong-Wei KeEmail author
  • Xue-Qian Li
  • Zheng-Tao Wei
Regular Article - Theorectical Physics

Abstract

The mixing of ηη′ or ηη′−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 \(\mathit{BR}(D\to\eta+\bar{l}+\nu_{l})\) and \(\mathit{BR}(D_{s}\to\eta(\eta')+\bar{l}+\nu_{l})\) have been measured, thus we are able to determine the ηη′ 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 \(\mathit{BR}(D\to\eta'+\bar{l}+\nu_{l})\) is measured, we can further determine all the mixing parameters for ηη′−G. As more data are accumulated, the determination will be more accurate. In this work, we obtain the transition matrix elements of D (s)η (′) using the light-front quark model whose feasibility and reasonability for such processes have been tested.

Keywords

Form Factor Decay Width Model Dependence Pseudoscalar Meson Semileptonic Decay 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  1. 1.School of ScienceTianjin UniversityTianjinChina
  2. 2.School of PhysicsNankai UniversityTianjinChina

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