Systematics of q anti-q states, scalar mesons and glueball

Abstract

Basing on the latest results of the PNPI (Gatchina) and QM&W College (London) groups, I discuss systematics of the IJ^{PC} q anti-q states in terms of trajectories on the (n,M^2) plane, where n is the radial quantum number and M is its mass. In the scalar sector, which is the most interesting because of the presence of extra states with respect to the q anti-q systematics, I discuss: 1) the results of the K-matrix analysis of the spectra pi-pi, pi-pi-pi-pi, K anti-K, eta-eta, eta-eta', pi-eta and characteristics of the resonances in the scalar sector, 2) q anti-q nonet classification of scalar bare states, 3) accumulation of widths of the q anti-q states by the glueball due to the overlapping of f_0 resonances at 1200-1700 MeV, 4) systematics of scalar q anti-q states, both bare states and resonances, on the (n,M^2) plots, 5) constraints on the quark-gluonium content of the resonances f_0(980), f_0(1300), f_0(1500), f_0(1750), and the broad state f_0(1420^{+150}_{-70}) from hadronic decays, 6) radiative decays of the P-wave q anti-q resonances: scalars f_0(980), a_0(980), and tensor mesons a_2(1320), f_2(1270), f_2(1525). The analysis proves that in the scalar sector we face two exotic mesons: the light sigma-meson, f_0(450), and the broad state f_0(1420^{+150}_{-70}), which is the descendant of the glueball.