Mixing of pseudoscalar mesons and isospin symmetry breaking

Details Mixing of pseudoscalar mesons and isospin symmetry breaking Mixing of pseudoscalar mesons and isospin symmetry breaking

2004-09-13

arxiv.org/abs/hep-ph/0409141v1

Int.J.Mod.Phys. A20 (2005) 331-340

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, (using LATEX with w-ijmpa.sty), invited talk presented at MESON 2004, 8th Intern. Workshop on Meson Production, Prop

Scientific paper

10.1142/S0217751X0502149X

Mixing of the pseudoscalar mesons is discussed in the quark-flavor basis with the hypothesis that the basis decay constants follow the pattern of particle state mixing. The divergences of the axial vector currents which embody the axial vector anomaly, combined with this hypothesis provide a calculational scheme for the parameters describing the mixing of the pion, eta and eta' mesons. Phenomenological applications of this mixing scheme are presented with particular interest focussed on isospin symmetry breaking in QCD estimated as eta and eta' admixtures to the pion. In contrast to previous work a possible difference in the basis decay constants f_u and f_d is considered and consequences of this potentially large effect on the strength of isospin symmetry breaking is discussed.

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