Production of Scalar $K\bar{K}$ Molecules in ϕ Radiative Decays

Abstract

The potentialities of the production of the scalar [Formula: see text] molecules in the ϕ radiative decays are considered beyond the narrow resonance width approximation. It is shown that BR (ϕ → γ f0(a0) → γππ(πη)) ≈ (1 ÷ 2) × 10-5, [Formula: see text] and BR (ϕ → γ (f0 + a0) → γ KSKS) < 5 · 10-8. The mass spectra in the ππ, πη, K+K- channels are calculated. The imaginary part of the amplitude ϕ → γ f0(a0) is calculated analytically. It is obtained by the phase of the scalar resonance production amplitude that causes the interference patterns in the reaction e+e- → γπ+π- in the ϕ meson mass region.