Pseudoscalar Glueball Mass: QCD vs. Lattice Gauge Theory Prediction

Details Pseudoscalar Glueball Mass: QCD vs. Lattice Gauge Theory Prediction Pseudoscalar Glueball Mass: QCD vs. Lattice Gauge Theory Prediction

1997-11-19

arxiv.org/abs/hep-ph/9711380v1

Phys.Rev. D58 (1998) 055003

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, LaTex file

Scientific paper

10.1103/PhysRevD.58.055003

We study whether the pseudoscalar glueball mass in full QCD can differ from the prediction of quenched lattice calculations. Using properties of the correlator of the vacuum topological susceptibility we derive an expression for the upper bound on the QCD glueball mass. We show that the QCD pseudoscalar glueball is lighter than the pure Yang-Mills theory glueball studied in quenched lattice calculations. The mass difference between those two states is of order of $1/N_c$. The value calculated for the $0^{-+}$ QCD glueball mass can not be reconciled with any physical state observed so far in the corresponding channel. The glueball decay constant and its production rate in $J/\psi$ radiative decays are calculated. The production rate is large enough to be studied experimentally.

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