The evaluation of the branching ratios of the decays φ(1020)→2π+2π−π0, π+π−3π0

Abstract

Combining the Okubo-Zweig-Iizuka rule in the decay φ→ρπ→π+π−π0 with the ρ→4π decay amplitudes, we calculate the φ→2π+2π−π0 and φ→π+π−3π0 ones. The partial widths of the above φ decays are evaluated, and the excitation curves in e+e− annihilation are obtained, assuming reasonable particular relations among the parameters characterizing the anomalous terms of the HLS Lagrangian. The evaluated branching ratios Bφ→π+π−3π0 ≈ 2 × 10−7 and Bφ→2π+2π−π0 ≈ 7 × 10−7 are such that, with the luminosity L=500 pb−1 attained at DAΦNE φ factory, one may already possess about 1685 events of the decays φ→5π.