Glueball Matrix Elements on Anisotropic Lattices

Chen, Y.; Dong, S. -J.; Draper, T.; Horvath, I.; Lee, F. -X.; Mathur, N.; Morningstar, C.; Peardon, M.; Tamhankar, S.; Young, B. L.; Zhang, J. -B.

Glueball Matrix Elements on Anisotropic Lattices

Authors

Description

The glueball-to-vacuum matrix elements of local gluonic operators in scalar, tensor, and pseudoscalar channels are investigated numerically on several anisotropic lattices with the spatial lattice spacing in the range 0.1fm -- 0.2fm. These matrix elements are needed to predict the glueball branching ratios in $J/ψ$ radiative decays which will help to identify the glueball states in experiments. Two types of improved local gluonic operators are constructed for a self-consistent check, and the finite volume effects are also studied. The lattice spacing dependence of our results is very small and the continuum limits are reliably extrapolated.
3 pages, 3 figures, Lattice2003 (spectrum)