Abstract
We perform the first lattice QCD study on the radiative decay of the scalar glueball to the vector meson φ in the quenched ap-proximation.The calculations are carried out on three gauge ensembles with different lattice spacings,which enable us to do the continuum extrapolation.We first revisit the radiative J/Ψ decay into the scalar glueball G and obtain the partial decay widthΓ(J/Ψ→ γG)=0.578(86)keV and the branching fraction Br(J/Ψ → yG)=6.2(9)x 10-3,which are in agreement with the previous lattice results.We then extend the similar calculation to the process G → γφ and get the partial decay widthΓ(G → γφ)=0.074(47)keV,which implies that the combined branching fraction of J/Ψ → yG → γγφ is as small as O(10-9)such that this process is hardly detected by the BESIII experiment even with the large J/Ψ sample of O(1010).With the vector meson dominance model,the two-photon decay width of the scalar glueball is estimated to be Γ(G → γγ)=0.53(46)eV,which results in a large stickiness S(G)～O(104)of the scalar glueball by assuming the stickiness off2(1270)to be one.
万方数据