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

Abstract

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.

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

References in corpus (2)

• Dynamical generation of the gauged SU(2) linear sigma model
• K -> pi pi and a light scalar meson

Cited by in corpus (5)

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• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• On nature of the scalar-isoscalar mesons in the uniformizing-variable method based on analyticity and unitarity
• Masses and widths of scalar-isoscalar multi-channel resonances from data analysis
• The finite-width Laplace sum rules for $0^{++}$ scalar glueball in instanton liquid model