S-wave meson scattering up to 2 GeV and its spectroscopy

TL;DR

This study analyzes meson-meson S-wave interactions up to 2 GeV, identifying and characterizing multiple resonances, including glueballs and pure octet states, through a comprehensive multi-channel approach.

Contribution

First to include 13 channels below 2 GeV in S-wave meson scattering, providing detailed resonance spectroscopy and insights into glueball and octet state compositions.

Findings

Identified all key resonances below 2 GeV in I=0 and 1/2 channels.

Found f_0(1710) and f_0(1500) as glueball states.

Determined f_0(1370) as a pure octet state.

Abstract

We have performed a thorough study of the meson-meson S-waves with isospin (I) 0 and 1/2, up to sqrt(s) ~ 2 GeV. This is the first study that includes 13 channels that have their threshold below that energy. All the resonances below 2 GeV, namely the f_0(600) or sigma, f_0(980), f_0(1370), f_0(1500), f_0(1710) and f_0(1790) for I=0, and the K*_0(800) or kappa, K*_0(1430) and K*_0(1950) for I=1/2, are generated. We can then extract a clear picture of the spectroscopy, finding that the f_0(1710), together with an important contribution to the f_0(1500), are glueballs. Another pole, which corresponds mainly to the f_0(1370), is a pure octet I=0 state, and does not mix with the glueball.