Pionic decays of φ (1020) and f′(1514)

Abstract

The decay amplitudes φ (1020) → 3π and f'(1514)→ππ are calculated using unitarity corrections to the Okubo-Zweig-Iizuka rule. We use dispersion relations for the amplitudes φ → ρ #960; and f′ →ππ and evaluate the contributions arising from intermediate states such as KK¯ , KK¯ , etc. The KK¯ intermediate state contributes to the absorptive part of the amplitude φ → ρ π a value which corresponds to a partial width Γ (φ → 3π) of 150 keV. The contribution of the KK¯ and KK¯ +K¯ K to the dispersive part of the amplitude φ → ρ π within the context of approximations employed by us is somewhat larger and corresponds to a partial width of 900 keV for φ →3π. For the f' →ππ amplitude we have evaluated the contributions of the KK¯ , η η and KK¯ +K¯ K intermediate states using the dual model for the amplitudes KK¯ → π π , η η → π π , and KK¯ →π π . The effective strength of the amplitude f'→ pp arising from such unitarity corrections to the Okubo-Zweig-Iizuka rule corresponds to a partial width Γ (f'→ ππ) of 170 keV via the absorptive part and a value of 500 keV via the dispersive part.