Existence of the $σ$-meson below 1 GeV and $f_0(1500)$ glueball

Details Existence of the $σ$-meson below 1 GeV and $f_0(1500)$ glueball Existence of the $σ$-meson below 1 GeV and $f_0(1500)$ glueball

2000-08-30

arxiv.org/abs/hep-ph/0008317v1

Phys.Rev.D63:054024,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 3 figures, LaTex; submitted to Physics Letters B

Scientific paper

10.1103/PhysRevD.63.054024

On the basis of a simultaneous description of the isoscalar s-wave channel of the $\pi\pi$ scattering (from the threshold up to 1.9 GeV) and of the $\pi\pi\to K\bar{K}$ process (from the threshold to $\sim$ 1.4 GeV) in the model-independent approach, a confirmation of the $\sigma$-meson at $\sim$ 665 MeV and an indication for the glueball nature of the $f_0(1500)$ state are obtained. It is shown that the large $\pi\pi$-background, usually obtained, combines, in reality, the influence of the left-hand branch-point and the contribution of a very wide resonance at $\sim$ 665 MeV. The coupling constants of the observed states with the $\pi\pi$ and $K\bar{K}$ systems and lengths of the $\pi\pi$ and $K\bar{K}$ scattering are obtained.

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