Lattice calculation of glueball matrix elements

Abstract Matrix elements of the form tr g 2 GG | G > are calculated using the lattice QCD Monte Carlo method. Here, | G > is a glueball state with quantum numbers 0 ++ , 2 ++ , 0 −+ and G is the gluon field strength operator. The matrix elements are obtained from the hybrid correlation functions of the fuzzy and plaquette operators performed on the 12 4 and 14 4 lattices at β = 5.9 and 5.96 respectively. These matrix elements are useful in the calculation of the partial widths of J / ψ radiative decays into glueballs.