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Glueball Spectrum and Matrix Elements on Anisotropic Lattices

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arxiv hep-lat/0510074 v1 pith:M36MK2U5 submitted 2005-10-13 hep-lat hep-ph

Glueball Spectrum and Matrix Elements on Anisotropic Lattices

classification hep-lat hep-ph
keywords glueballelementslatticelocalmatrixoperatorsanisotropicgluonic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 ranging from 0.1fm - 0.2fm. These matrix elements are needed to predict the glueball branching ratios in $J/\psi$ radiative decays which will help 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 studied. We find that lattice spacing dependence of our results is very weak and the continuum limits are reliably extrapolated, as a result of improvement of the lattice gauge action and local operators. We also give updated glueball masses with various quantum numbers.

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Forward citations

Cited by 6 Pith papers

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  4. Production Rate of Glueball-like $X(2370)$ in $J/\psi$ Radiative Decay

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