New mass and mass-mixing angle relations for pseudoscalar mesons

1998/02/24 by L. Burakovsky, Leonid Burakovsky, T. Goldman
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(98)00365-7

published as Phys.Lett.B427:361,1998 · 17 pages, LaTeX

arxiv created 1998/02/24 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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, f₈/f_π=1.185± 0.040, f₉/f_π=1.095± 0.020, f_η/f_π=1.085± 0.025, f_η^'/f_π=1.195± 0.035, θ=(-21.4± 1.0)^o, are in excellent agreement with experiment.

Citations

• Mixing of η-η′ mesons in decays into a vector and a pseudoscalar meson
• Gell-Mann-Okubo Mass Formula Revisited
• Chiral perturbation theory: Expansions in the mass of the strange quark