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Instanton-induced flavour mixing in mesons
Institution:1. Physik-Department T30, TU München, D-8046 Garching, Fed. Rep. Germany;1. Department of Physics, University of California, Berkeley, CA 94720, USA;2. Materials Sciences Division, Lawrence Berkeley National Laboratories, Berkeley, CA 94720, USA
Abstract:The UL(Nf)×UR(Nf) chiral symmetric version of the Nambu-Jona-Lasinio model is extended by the 't Hooft determinant and bosonized for an arbitrary number of flavours Nf. The resulting effective meson lagrangian is explicitly calculated to leading order in the derivatives for three flavours. The 't Hooft determinant induces flavour mixing of the mesons with diagonal flavour content (π0, η, η′, and their scalar chiral partners δ0, S, ϵ) and pushes up the physical η′-mass. The η-η′ mixing angle is found to be −31°.
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