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Hadrons and Nuclei

Eur. Phys. J. A 11, 329-339 (2001)

${\eta}-{\eta'}$ mixing in U(3) chiral perturbation theory

N. Beisert and B. Borasoy

Physik Department, Technische Universität München, D-85747 Garching, Germany


(Received: 12 March 2001 / Revised version: 19 June 2001 Communicated by A. Schäfer)

We investigate $\eta$-$\eta'$ mixing in infrared regularized U(3) chiral perturbation theory by calculating the $\eta$ and $\eta'$ masses up to one-loop order. From this analysis it becomes obvious that even at leading order $\eta$-$\eta'$-mixing does not obey the usually assumed one-mixing-angle scheme if large $N_{\rm c}$ counting rules are not employed.

12.39.Fe - Chiral Lagrangians.
14.40.-n - Mesons.

© Società Italiana di Fisica, Springer-Verlag 2001