New Mass and Mass-Mixing Angle Relations for Pseudoscalar Mesons

Details New Mass and Mass-Mixing Angle Relations for Pseudoscalar Mesons New Mass and Mass-Mixing Angle Relations for Pseudoscalar Mesons

1998-08-04

arxiv.org/abs/hep-ph/9808221v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTeX. Shortened version of hep-ph/9802404 published in Physics Letters B 427 (1998) 361

Scientific paper

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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