The scalar and tensor glueball in production and decay

Evidence for the scalar and the tensor glueball is reported. The evidence stems from an analysis of BESIII data on radiative J/\psiJ/ψ data into \pi^0\pi^0π0π0, K_SK_SKSKS, \eta\etaηη, and \phi\omegaϕω [1]. The coupled-channel analysis is contrained by a large number of further data. The scalar intensity is described by ten scalar isoscalar mesons, covering the range from f_0(500)f0(500) to f_0(2330)f0(2330). Five resonances are interpreted as mainly-singlet states in SU(3), five as mainly-octet states. The mainly-singlet resonances are produced over the full mass range, the production of octet states is limited to the 1500 to 2100,MeV mass range and shows a large peak. The peak is interpreted as scalar glueball. Its mass, width and yield are determined to M_{glueball}=(1865\pm 25)Mglueball=(1865±25),MeV, \Gamma_{glueball} = (370\pm 50^{+30}_{-20})\,MeVΓglueball=(370±50−20+30)MeV, Y_{J/\psi\to \gamma G_0}=(5.8\pm1.0)\cdot 10^{-3}YJ/ψ→γG0=(5.8±1.0)⋅10−3. The study of the decays of the scalar mesons identifies significant glueball fractions [2]. The tensor wave shows the f_2(1270)f2(1270) and f_2'(1525)f2′(1525) and a small enhancement at M=2210\pm40M=2210±40 MeV, \Gamma= (355^{+60}_{-30})\,MeVΓ=(355−30+60)MeV [3]. An interpretation of these data is suggested.