Lattice Study of Radiative J/ψ Decay to a Tensor Glueball

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The radiative decay of J/ψ into a pure gauge tensor glueball is studied in the quenched lattice QCD formalism. With two anisotropic lattices, the mutlipole amplitudes E₁(0), M₂(0) and E₃(0) are obtained to be 0.114(12)(6)GeV, -0.011(5)(1)GeV, and 0.023(8)(1)GeV, respectively. The first error comes from the statistics, the Q² interpolation, and the continuum extrapolation, while the second is due to the uncertainty of the scale parameter r₀⁻¹=410(20) MeV. Thus the partial decay width Γ(J/ψ→ γG₂⁺⁺) is estimated to be 1.01(22)(10) keV which corresponds to a large branch ratio 1.1(2)(1)x10⁻². The phenomenological implication of this result is also discussed.