ϕ\toπ^0ηγand ϕ\toπ^0π^0γdecays and Mixing Between Low and High Mass Scalar Mesons

Abstract

Radiative decays ϕ\toηπ^0γand ϕ\toπ^0π^0γare studied assuming that these decays are caused through the intermediate a_0(980)γand f_0(980)γstates, respectively. Fitting the experimental data of the ηπ^0 and π^0π^0 invariant mass spectrum in the decays ϕ\toηπ^0γand π^0π^0γ, it is shown that the processes ϕ\to a_0γand ϕ\to f_0γare dominated by the K^+K^- loop interaction rather than the contact ϕa_0(f_0)γone both for the non-derivative and derivative SPP coupling. The experimental data of Γ[ϕ\to f_0γ]/Γ[ϕ\to a_0γ] predicts that g_{f_0K\bar{K}}/g_{a_0K\bar{K}} \sim 2. Considering the effects of the mixing between low mass scalar qq\bar{q}\bar{q} states and high mass scalar q\bar{q} states to these coupling constants g_{f_0K\bar{K}} and g_{a_0K\bar{K}}, one suggests that the mixing is rather large.