Topological expansions and decays of new particles: A phenomenology of Okubo-Zweig-Iizuka-rule violation

Decay modes of Ψ, Ψ′, ηc are examined within a model of Okubo-Zweig-Iizuka (OZI) -rule violation based on the S-matrix topological expansion (SMTE). The model provides an appropriate language for discussing general features of the OZI rule and successfully predicts the order of magnitude of the decrease in widths between φ and ψ. Because of the relatively strong mixing of η and η′ with ηc necessitated by the SMTE, these mesons play a prominent role in ψ, ψ′ decays. We readily explain the "large" ψ′→ηψ, ψ→η′γ, ψ→ηγ rates and predict several more channels involving η and η′ into which the new particles should frequently decay. We describe why there is no general concept of double-OZI-forbidden processes and successfully correlate the role the ε meson plays in such reactions as ψ′→ψε, ψ→εω, ψ→εφ. The differences between ψ and ψ′ decays expected because of the radially excited nature of the ψ′ are touched upon, and it is speculated that Γ(ηc)Γ(φ→ρπ). Comparison is made with other models of OZI suppression.