Nonet Classification of Scalar/Isoscalar Resonances below 1900 MeV: the Existence of an Extra Scalar State in the Region 1200-1600 MeV

Abstract

A classification of the $IJ^{PC}=00^{++}$ mesons is performed on the basis of the K-matrix analysis of meson spectra in the reactions: (i) GAMS data on $πp\to π^0π^0 n$, $ηηn$, $ηη' n$; (ii) Crystal Barrel data on $p\bar p~(at~rest)\to π^0π^0π^0$, $π^0π^0η$, $π^0ηη$; (iii) CERN-Münich data on $πp\to π^+π^- n$; (iiii) BNL data on $πN\to K\bar K N$. The analysis points to the existence of four comparatively narrow scalar resonances which correspond to the following poles of the scattering amplitude (in MeV): $(1015\pm 15)- i(43\pm 8)$, $(1300\pm 20)-i(120\pm 20)$, $(1499\pm 8)-i(65\pm 10)$ and $(1780\pm 30)-i(125\pm 70)$. The scattering amplitude also has a fifth pole $f_0(1530^{+90}_{-250})$ at the complex mass $(1530^{+90}_{-250}) - i(560\pm 140)$. The masses of the K-matrix poles (bare states) are at $720\pm 100$ MeV, $1230\pm 50$ MeV, $1260\pm 30$ MeV, $1600\pm 50$ MeV and $1810\pm 30$ MeV. The quark content of the bare states is analyzed using the values of their couplings to the $ππ$, $K\bar K$, $ηη$ and $ηη'$. It is shown that one of the bare states in the mass region 1200-1600 MeV is superfluous for the $q\bar q$ classification and should be considered as the lightest glueball.