A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson

Abstract

We update the values of the eta-eta' mixing angle and of the eta' gluonium content by fitting our measurement R_phi = BR(phi to eta' gamma)/ BR(phi to eta gamma) together with several vector meson radiative decays to pseudoscalars (V to P gamma), pseudoscalar mesons radiative decays to vectors (P to V gamma) and the eta' to gamma gamma, pi^0 to gamma gamma widths. From the fit we extract a gluonium fraction of Z^2_G = 0.12 +- 0.04, the pseudoscalar mixing angle psi_P = (40.4 +- 0.6) degree and the phi-omega mixing angle psi_V = (3.32 +- 0.09) degree. Z^2_G and psi_P are fairly consistent with those previously published. We also evaluate the impact on the eta' gluonium content determination of future experimental improvements of the eta' branching ratios and decay width.

arXiv comment13 pages, 7 figures to submit to JHEP

References in corpus (16)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Quark structure of pseudoscalar mesons
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Phenomenological Evidence for the Gluon Content of $\eta$ and ${\eta }^{\prime }$
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• On the gluon content of the eta and eta' mesons
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Radiative Decays, Nonet Symmetry and SU(3) Breaking
• On the ${\eta }^{\prime }$ Gluonic Admixture
• Radiative VPgamma transitions and eta-eta' mixing
• Study of the Process e+ e- ---> eta gamma in c.m. Energy Range 600-1380 MeV at CMD-2
• Study of the process e+e- -> omega pi0 in the phi-meson mass region with the KLOE detector
• Reanalysis of the $e^{+}{e}^{-}\to \eta \gamma$ reaction cross section

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