Scalar glueball, scalar quarkonia, and their mixing
Abstract
The isosinglet scalar mesons f0(1710), f0(1500), f0(1370) and their mixing are studied. We employ two recent lattice results as the starting point; one is the isovector scalar meson a0(1450) which displays an unusual property of being nearly independent of quark mass for quark masses smaller than that of the strange, and the other is the scalar glueball mass at 1710 MeV in the quenched approximation. In the SU(3) symmetry limit, f0(1500) turns out to be a pure 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 discuss the sources of SU(3) breaking and their consequences on flavor-dependent decays of these mesons. The observed enhancement of ωf0(1710) production over ϕf0(1710) in hadronic J/ψ decays and the copious f0(1710) production in radiative J/ψ decays lend further support to the prominent glueball nature of f0(1710).
- Publication:
-
Physical Review D
- Pub Date:
- November 2006
- DOI:
- 10.1103/PhysRevD.74.094005
- arXiv:
- arXiv:hep-ph/0607206
- Bibcode:
- 2006PhRvD..74i4005C
- Keywords:
-
- 14.40.Cs;
- Other mesons with S=C=0 mass<
- 2.5 GeV;
- High Energy Physics - Phenomenology
- E-Print:
- 16 pages