Scalar and Pseudoscalar Glueballs Revisited
Abstract
Using two simple and robust inputs to constrain the mixing matrix of the isosinglet scalar mesons f0(1710), f0(1500), f0(1370), we have shown that in the SU(3) symmetry limit, f0(1500) becomes apure SU(3) octet and is degenerate with a0(1450), while f0(1370) is mainly an SU(3) singlet with a slight mixing with the scalar glueball which is the primary component of f0(1710). These features remain essentially unchanged even when SU(3) breaking is taken into account. We have deduced the mass of the pseudoscalar glueball G from an η-η'-G mixing formalism based on the anomalous Ward identity for transition matrix elements. With the inputs from the recent KLOE experiment, we found a solution for the pseudoscalar glueball mass around (1.4±0.1) GeV. This affirms that 77 (1405), having a large production rate in the radiative J/Ψ decay and not seen in γγ reactions, is indeed a leading candidate for the pseudoscalar glueball. It is much lower than the results from quenched lattice QCD (> 2.0 GeV).
- Publication:
-
Hadron 2009
- Pub Date:
- August 2010
- DOI:
- 10.1063/1.3483375
- arXiv:
- arXiv:0912.3561
- Bibcode:
- 2010AIPC.1257..477C
- Keywords:
-
- supersymmetry;
- quantum chromodynamics;
- Yang-Mills theory;
- resonance;
- fermion systems;
- 11.30.Qc;
- 12.38.Aw;
- 12.10.Kt;
- 14.20.Gk;
- 05.30.Fk;
- Spontaneous and radiative symmetry breaking;
- General properties of QCD;
- Unification of couplings;
- mass relations;
- Baryon resonances with S=0;
- Fermion systems and electron gas;
- High Energy Physics - Phenomenology
- E-Print:
- 5 pages, talk presented at the XIII International Conference on Hadron Spectroscopy, November 29-December 4, 2009, Tallahassee, Florida