On the nature of $f_0$ mesons below 1.9 GeV and lower scalar nonets

Details On the nature of $f_0$ mesons below 1.9 GeV and lower scalar nonets On the nature of $f_0$ mesons below 1.9 GeV and lower scalar nonets

2003-11-14

arxiv.org/abs/hep-ph/0311195v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTex, 6 eps figures; Talk given at the XII International Conference on Selected Problems of Modern Physics, Dubna,

Scientific paper

The combined 3-channel analysis of experimental data on the coupled processes $\pi\pi\to\pi\pi,K\bar{K},\eta\eta$ is carried out in the channel with the vacuum quantum numbers. An approach, using only first principles (analyticity and unitarity) and the uniformizing variable, is applied. Definite indications of the QCD nature of the $f_0$ resonances below 1.9 GeV are obtained, among them a surprising indication for $f_0(980)$ to be the $\eta\eta$ bound state. An assignment of the scalar mesons below 1.9 GeV to lower nonets is proposed.

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