The Schwinger Nonet Mass and Sakurai Mass-Mixing Angle Formulae Reexamined

Details The Schwinger Nonet Mass and Sakurai Mass-Mixing Angle Formulae Reexamined The Schwinger Nonet Mass and Sakurai Mass-Mixing Angle Formulae Reexamined

1998-02-24

arxiv.org/abs/hep-ph/9802404v1

Phys.Lett.B427:361,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, LaTeX

Scientific paper

10.1016/S0370-2693(98)00365-7

We study the origins of the inaccuracies of Schwinger's nonet mass, and the Sakurai mass-mixing angle, formulae for the pseudoscalar meson nonet, and suggest new versions of them, modified by the inclusion of the pseudoscalar decay constants. We use these new formulae to determine the pseudoscalar decay constants and mixing angle. The results obtained, f_8/f_\pi =1.185\pm 0.040, f_9/f_\pi =1.095\pm 0.020, f_\eta /f_\pi =1.085\pm 0.025, f_{\eta ^{'}}/f_\pi =1.195\pm 0.035, \theta =(-21.4\pm 1.0)^o, are in excellent agreement with experiment.

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