Glueballs in Radiative $J/ψ$ Decays

The scalar glueball is observed in a coupled-channel analysis of the $S$-wave amplitude from BESIII data on radiative $J/ψ$ decays and further data. Ten scalar isoscalar resonances were required to fit the data. Five of them were interpreted as mainly-singlet, five as mainly-octet resonances in SU(3). The yield of resonances showed a striking peak with properties expected from a scalar glueball. The $D$ wave amplitude in the BESIII data on radiative $J/ψ$ decays reveales a high-mass structure which can be described by a single Breit-Wigner or by the sum of three $ϕϕ$ resonances interpreted as tensor glueballs a long time ago. The structure - and further tensor resonances observed in radiative $J/ψ$ decays - are tentatively interpreted as tensor glueball. In $J/ψ$ decays into $γπ^0π^0η'$ several resonances are reported. The possibility is discussed that the pseudoscalar glueball might be hidden in these data.

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