Effects of the $U_A(1)$ Anomaly on $η\to 2 γ$ Decay

Details Effects of the $U_A(1)$ Anomaly on $η\to 2 γ$ Decay Effects of the $U_A(1)$ Anomaly on $η\to 2 γ$ Decay

1995-06-07

arxiv.org/abs/hep-ph/9506254v1

Phys.Lett. B359 (1995) 210-216; Erratum-ibid. B364 (1995) 249

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 3 Postscript figures

Scientific paper

10.1016/0370-2693(95)01362-8

We study the $\eta \to 2 \gamma$ decay using an extended three-flavor Nambu-Jona-Lasinio model that includes the 't~Hooft instanton induced interaction. The $\eta$ meson mass and the $\eta \to 2 \gamma$ decay width are reproduced simultaneously with a rather strong instanton induced interaction. The calculated $\eta$ decay constant is $f_\eta = 2.23 f_\pi$ and it suggests that the $\eta$ meson is no longer the Goldstone boson.

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