Mixing of Pseudoscalar Mesons

Details Mixing of Pseudoscalar Mesons Mixing of Pseudoscalar Mesons

2002-01-08

arxiv.org/abs/hep-ph/0201044v1

Phys.Scripta T99 (2002) 13-22

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 6 figures, Proc. WORKSHOP ON ETA PHYSICS, Uppsala, October 22-27, 2001

Scientific paper

10.1238/Physica.Topical.099a0001

Eta-eta' mixing is discussed in the quark-flavor basis with the hypothesis that the decay constants follow the pattern of particle state mixing. On exploiting the divergences of the axial vector currents - which embody the axial vector anomaly - all mixing parameters are fixed to first order of flavor symmetry breaking. An alternative set of parameters is obtained from a phenomenological analysis. We also discuss mixing in the octet-singlet basis and show how the relevant mixing parameters are related to those in the quark-flavor basis. The dependence of the mixing parameters on the strength of the anomaly and the amount of flavor symmetry breaking is investigated. Finally, we present a few applications of the quark-flavor mixing scheme, such as radiative decays of vector mesons, the photon-pseudoscalar meson transition form factors, the coupling constants of eta and eta' to nucleons, and the isospin-singlet admixtures to the pi^0 meson.

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