Flatte-like distributions and the a_0(980)/f_0(980) mesons

Abstract

We explore the features of Flatte-like parametrizations. In particular, we demonstrate that the large variation in the absolute values of the coupling constants to the pi-eta (or pi-pi) and KKbar channels for the a_0(980) and f_0(980) mesons that one can find in the literature can be explained by a specific scaling behaviour of the Flatte amplitude for energies near the KKbar threshold. We argue that the ratio of the coupling constants can be much better determined from a fit to experimental data.

arXiv comment12 pages, 12 figures

References in corpus (20)

• Evidence that the a0(980) and f0(980) are not elementary particles
• Scalar mesons above and below 1 GeV
• Chiral Unitary approach to meson-meson and meson-baryon interactions and nuclear applications
• Four Sorts of Mesons
• Study of the Decay phi --> pi0 pi0 gamma with the KLOE Detector
• Study of the $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay and measurement of $f_0$ masses and widths
• Study of the $\varphi$ decays into ${\pi }^0{\pi }^0\gamma$ and $\eta {\pi }^0\gamma$ final states
• Study of the Decay phi --> eta pi0 gamma with the KLOE detector
• The $\varphi (1020)\to {\pi }^0{\pi }^0\gamma$ decay
• A coupled channel analysis of the centrally produced K+K- and pi+pi- final states in pp interactions at 450 GeV/c
• The $\varphi \to \eta {\pi }^0\gamma$ decay
• The new analysis of the KLOE data on the phi->eta pi0 gamma decay
• Properties of the a0(980) meson
• Improved approach to the heavy-to-light form factors in the light-cone QCD sum
• Systematics of quark-antiquark states and scalar exotic mesons
• On the mass, width and coupling constants of the f0(980)
• Production of f_0(980), f_2(1270) and ϕ(1020) in hadronic Z^0 decay
• $\pi \pi$ scattering S wave from the data on the reaction ${\pi }^{-}p\to {\pi }^0{\pi }^{0}n$
• Remark on the effective range approach to the f_0-a_0 mesons
• Generalized Weinberg's approach to the a0/f0 case

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