Decays ω(782), φ(1020)→5π in the hidden local symmetry approach

The decays ω→2π+2π-π0 and ω→π+π-3π0 are reconsidered in the hidden local symmetry approach (HLS) with added anomalous terms. The decay amplitudes are analyzed in detail, paying special attention to the Adler condition of the vanishing of the whole amplitude at a vanishing of momentum of any final pion. Combining the Okubo-Zweig-Iizuka rule applied to the five-pion final state with the Adler condition, we also calculate the φ→2π+2π-π0 and φ→π+π-3π0 decay amplitudes. The partial widths of the above decays are evaluated, and the excitation curves in e+e- annihilation are obtained, assuming specific reasonable relations among the parameters characterizing the anomalous terms of the HLS Lagrangian. The evaluated branching ratios Bφ→π+π-3π0≅2x10-7 and Bφ→2π+2π-π0≅7x10-7 are such that, with the luminosity L=500 pb-1 attained at the DAΦNE φ factory, one may already possess about 1685 events of the φ→5π decays