Strong $U_A(1)$ breaking in radiative $η$ decays

Details Strong $U_A(1)$ breaking in radiative $η$ decays Strong $U_A(1)$ breaking in radiative $η$ decays

1996-08-22

arxiv.org/abs/hep-ph/9608403v1

Phys.Rev. D55 (1997) 4083-4097

Physics

High Energy Physics

High Energy Physics - Phenomenology

41 pages, LaTeX, 17 eps figures, uses epsf.sty and cite.sty

Scientific paper

10.1103/PhysRevD.55.4083

We study the \egg, \egm and \epg 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 \egg, \egm and \epg decay widths 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 calculated $\eta \gamma \gamma^\ast$ transition form factor has somewhat weaker dependence on the squared four-momentum of the virtual photon. The effects of the $U_A(1)$ anomaly on the scalar quark contents in the nucleon, the $\Sigma_{\pi N}$ and $\Sigma_{KN}$ terms and the baryon number one and two systems are also studied.

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