$η$-Meson Decays and Strong $U_A(1)$ Breaking in the Three-Flavor Nambu-Jona-Lasinio Model

Details $η$-Meson Decays and Strong $U_A(1)$ Breaking in the Three-Flavor Nambu-Jona-Lasinio Model $η$-Meson Decays and Strong $U_A(1)$ Breaking in the Three-Flavor Nambu-Jona-Lasinio Model

1996-02-20

arxiv.org/abs/hep-ph/9602346v1

Austral.J.Phys.50:187-197,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTeX, 2 eps figures, Talk given at the Joint Japan-Australia Workshop on Quarks, Hadrons and Nuclei, Adelaide, Aust

Scientific paper

We study the $\eta \to \gamma \gamma$ and $\eta \to \pi^0 \gamma \gamma$ decays using an extended three-flavor Nambu-Jona-Lasinio model that includes the 't~Hooft instanton induced interaction. We find that the $\eta$-meson mass, the $\eta \to \gamma \gamma$ decay width and the $\eta \to \pi^0 \gamma \gamma$ decay width are in good agreement with the experimental values when the $U_{A}(1)$ breaking is strong and the flavor $SU(3)$ singlet-octet mixing angle $\theta$ is about zero. The effects of the $U_A(1)$ breaking on the baryon number one and two systems are also studied.

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