Model-Independent Confirmation of the $σ$-Meson below 1 GeV and Indication for the $f_0(1500)$ Glueball

Details Model-Independent Confirmation of the $σ$-Meson below 1 GeV and Indication for the $f_0(1500)$ Glueball Model-Independent Confirmation of the $σ$-Meson below 1 GeV and Indication for the $f_0(1500)$ Glueball

2000-09-04

arxiv.org/abs/hep-ph/0009039v1

Acta Phys.Polon. B31 (2000) 2697-2701

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 5 figures, LaTex; Talk given at the Sixth International Workshop on Production, Properties and Interaction oh Mesons

Scientific paper

In the model-independent approach consisting in the immediate application to the analysis of experimental data of such general principles as analyticity and unitarity, 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 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 where the 2-channel unitarity is valid). A parameterless description of the $\pi\pi$ background is first given by allowance for the left-hand branch-point in the proper uniformizing variable. 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.

Affiliated with

Also associated with

No associations

Rating

Model-Independent Confirmation of the $σ$-Meson below 1 GeV and Indication for the $f_0(1500)$ Glueball does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Model-Independent Confirmation of the $σ$-Meson below 1 GeV and Indication for the $f_0(1500)$ Glueball, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Model-Independent Confirmation of the $σ$-Meson below 1 GeV and Indication for the $f_0(1500)$ Glueball will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-487001