η→3πdecays and theρηπcoupling constant

Abstract

An approach to the $\eta \to 3\pi$ decays based on $\eta -{\pi }^0$ mixing and resonant final-state interactions is presented. It successfully accounts for the experimental data and circumvents the difficulties of the traditional (current-algebra) approach. The value for the $G$-parity-violating coupling constant $\left|g_{\rho \eta \pi }\right|=0.067\mathrm{}\pm 0.013$ is deduced from the data.