Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-08-12
Phys.Rev. C61 (2000) 065201
Physics
High Energy Physics
High Energy Physics - Phenomenology
31 pages, LaTex, 8 figures
Scientific paper
10.1103/PhysRevC.61.065201
U_A(1) symmetry breaking is studied by introducing the flavor mixing interaction proposed by Kobayashi, Maskawa and 't Hooft. Combining the one gluon exchange interaction, the rainbow like Schwinger-Dyson equation and the ladder like Bethe-Salpeter equation are derived. The anomalous PCAC relation in the framework of this approximation is considered. The masses of the pseudoscalar mesons pi,eta and eta' are calculated. It is found that the pion mass is not sensitive to the strength of the flavor mixing interaction. On the other hand, the masses of eta and eta' are reproduced by a relatively weak flavor mixing interaction, for which the chiral symmetry breaking is dominantly induced by the soft-gluon exchange interaction. The decay constants are calculated and the anomalous PCAC relation is numerically checked. It is found that the flavor structures of the eta and eta' mesons significantly depend on their masses and therefore it is quetionable to define a flavor mixing angle for eta and eta'.
Naito Kenichi
Nemoto Yukio
Oka Makoto
Takizawa Motokazu
Yoshida Koji
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