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arXiv · 1304.3807

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

Yi-Bo Yang·Long-Cheng Gui·Ying Chen·Chuan Liu·Yu-Bin Liu·Jian-Ping Ma·Jian-Bo Zhang
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Abstract

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 E_1(0), M_2(0) and E_3(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 Q^2 interpolation, and the continuum extrapolation, while the second is due to the uncertainty of the scale parameter r_0^{-1}=410(20) MeV. Thus the partial decay width $Γ(J/ψ\rightarrow γG_{2^{++}})$ 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.

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Yi-Bo Yang, Long-Cheng Gui, Ying Chen, Chuan Liu, Yu-Bin Liu, Jian-Ping Ma, Jian-Bo Zhang. 2013-08-28. Lattice Study of Radiative $J/ψ$ Decay to a Tensor Glueball. https://doi.org/10.1103/physrevlett.111.091601

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