Mixing of Scalar Glueball and Scalar Quarkonia
Abstract
The isosinglet scalar mesons f0(1710), f0(1500), f0(1370) and their mixing are studied. Two recent lattice results are employed as the starting point; one is the approximate SU(3) symmetry in the scalar sector above 1 GeV for the connected insertion part without q q annihilation, and the other is the scalar glueball mass at 1710 MeV in the quenched approximation. In the SU(3) symmetry limit, f0(1500) becomes 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. The observed enhancement of ω f0(1710) production over φ f0(1710) in hadronic J/ decays and the copious f0(1710) production in radiative J/ decays lend further support to the prominent glueball nature of f0(1710).
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