Identification of a Scalar Glueball

Abstract

We have performed a coupled channel study of the meson-meson S-waves involving isospins (I) 0, 1/2 and 3/2 up to 2 GeV. For the first time the channels ππ, K\bar{K}, ηη, σσ, ηη', η'η', ρρ, ωω, ωϕ$, ϕϕ, a_1πand π^*πare considered. All the resonances with masses below 2 GeV for I=0 and 1/2 are generated by the approach. We identify the f_0(1710) and a pole at 1.6 GeV, which is an important contribution to the f_0(1500), as glueballs. This is based on an accurate agreement of our results with predictions of lattice QCD and the chiral suppression of the coupling of a scalar glueball to \bar{q}q. Another nearby pole, mainly corresponding to the f_0(1370), is a pure octet state not mixed with the glueball.

5 pages, 1 figure. More data are included and reproduced. Some discussions have been rephrased