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- W2996073085 abstract "The complementarity between chiral perturbation theory and the linear sigma model is exploited to study $pi^0pi^0$ production in $phi$ radiative decays, where the effects of the f 0 (980) scalar resonance, and those of its more controversial $sigma (500)$ partner, should become manifest via the $phirightarrow K^+ K^- (gamma)rightarrowpi^0pi^0gamma $ decay chain. The recently reported data on $phirightarrowpi^0pi^0gamma$ coming from the VEPP-2M e + e - collider in Novosibirsk and the DA $Phi$ NE $phi$ -factory in Frascati can be reasonably described in our approach, which we propose as a promising first step towards more detailed analyses. The f 0 (980) contribution, which appears as a moderately narrow peak at the high part of the dipion mass spectrum, can be interpreted as the isoscalar member of the scalar nonet with a large $f_0 Kbar{K}$ coupling and an $f_0pipi$ coupling suppressed by almost ideal $sigma$ -f0 mixing. Indeed, the mixing angle in the flavor basis is found to be $phi_{S}approx - 6^circ$ , if the f0 propagator is approximated by a simple Breit-Wigner expression, or $phi_{S}approx -9^circ$ , if an improved two-channel analysis is performed. The $sigma (500)$ resonance, which is then strongly coupled to pion pairs, yields a tiny contribution because, in our approach, its coupling to kaon pairs is proportional to $m^2_sigma-m^2_K$ and thus quite small." @default.
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- W2996073085 date "2002-12-01" @default.
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- W2996073085 title "Scalar f 0 (980) and $sigma (500)$ meson exchange in $phi$ decays into $pi^0pi^0gamma$" @default.
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- W2996073085 doi "https://doi.org/10.1140/epjc/s2002-01051-0" @default.
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