Scalar Glueball in RadiativeJ/ψDecay on the Lattice

Abstract

The form factors in the radiative decay of J/ψ to a scalar glueball are studied within quenched lattice QCD on anisotropic lattices. The continuum extrapolation is carried out by using two different lattice spacings. With the results of these form factors, the partial width of J/ψ radiatively decaying into the pure gauge scalar glueball is predicted to be 0.35(8) keV, which corresponds to a branching ratio of 3.8(9)×10(-3). By comparing with experiments, out results indicate that f0(1710) has a larger overlap with the pure gauge glueball than other related scalar mesons.

Light mesons at BESIII

“…The scalar contributions are mainly from f 0 (1500), f 0 (1710) and f 0 (2100), while no evident contributions from f 0 (1370) and f 0 (1790) are seen. Recently, the production rate of the pure gauge scalar glueball in J/ψ radiative decays predicted by the lattice QCD [15] was found to be compatible with the production rate of J/ψ radiative decays to f 0 (1710); this suggests that f 0 (1710) has a larger overlap with the glueball compared to other glueball candidates (eg. f 0 (1500)).…”

Light Meson Spectroscopy at BESIII

“…2(a) indicate that the scalar contributions are mainly from f 0 (1500), f 0 (1710) and f 0 (2100), while no evident contributions from f 0 (1370) and f 0 (1790) are seen. Recently, the production rate of the pure gauge scalar glueball in J/ψ radiative decays predicted by the lattice QCD [11] was found to be compatible with the production rate of J/ψ radiative decays to f 0 (1710); this suggests that f 0 (1710) has a larger overlap with the glueball compared to other glueball candidates (e.g., f 0 (1500)). In this analysis, the production rates of f 0 (1710) and f 0 (2100) are both about one order of magnitude larger than that of the f 0 (1500), which are consistent with, at least not contrary to, lattice QCD predictions.…”

Modelling glueballs

“…Refs. [24][25][26][27][28][29][30][31][32][33]. A very short summary of the historical development is the following: in the pioneering work of Amsler and Close [24], later on confirmed by Close and Kirk [25], the largest gluonic amount sits in f 0 (1500).…”

“…[26], but also with the recent lattice study of Ref. [32], in which the decay j/ψ → γG is numerically evaluated. Moreover, the very same conclusion has been reached in Ref.…”