Analysis of the nature of the $ϕ\toγπη$ and $ϕ\toγπ^0π^0$ decays

N. N. Achasov; V. V. Gubin

doi:10.1103/PhysRevD.63.094007

paper

Analysis of the nature of the $ϕ \to γ π η$ and $ϕ \to γ π^{0} π^{0}$ decays

arXiv:hep-ph/0101024 · doi:10.1103/PhysRevD.63.094007

Abstract

We study interference patterns in the $ϕ \to (γ a_{0} + π^{0} ρ) \to γ π η$ and $ϕ \to (γ f_{0} + π^{0} ρ) \to γ π^{0} π^{0}$ reactions. Taking into account the interference, we fit the experimental data and show that the background reaction does not distort the $π^{0} η$ spectrum in the decay $ϕ \to γ π η$ everywhere over the energy region and does not distort the $π^{0} π^{0}$ spectrum in the decay $ϕ \to γ π^{0} π^{0}$ in the wide region of the $π^{0} π^{0}$ system invariant mass, $m_{π π} > 670$ MeV, or when the photon energy is less than 300 MeV. We discuss the details of the scalar meson production in the radiative decays and note that there are reasonable arguments in favor of the one-loop mechanism $ϕ \to K^{+} K^{-} \to γ a_{0}$ and $ϕ \to K^{+} K^{-} \to γ f_{0}$ . We discuss also distinctions between the four-quark, molecular, and two-quark models and argue that the Novosibirsk data give evidence in favor of the four-quark nature of the scalar $a_{0} (980)$ and $f_{0} (980)$ mesons.

15 pages, 7 figures, title is changed, a few clarifying remarks are added, accepted for publication in Physical Review D

Analysis of the nature of the ϕ→γπη and ϕ→γπ0π0 decays

Abstract

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Analysis of the nature of the $ϕ \to γ π η$ and $ϕ \to γ π^{0} π^{0}$ decays