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 B _φ→π ⁺ _π ⁻ _3π ⁰ ≈ 2 × 10⁻⁷ and B _φ→2π ⁺ _2π ⁻ _π ⁰ ≈ 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.