Scalar Glueball, Scalar Quarkonia, and their Mixing

Abstract

The isosinglet scalar mesons $f_0(1710)$, $f_0(1500)$, $f_0(1370)$ and their mixing are studied. We employ two recent lattice results as the starting point; one is the isovector scalar meson $a_0(1450)$ 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, $f_0(1500)$ turns out to be a pure SU(3) octet and is degenerate with $a_0(1450)$, while $f_0(1370)$ is mainly an SU(3) singlet with a slight mixing with the scalar glueball which is the primary component of $f_0(1710)$. 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 $\omega f_0(1710)$ production over $\varphi f_0(1710)$ in hadronic $J/\psi$ decays and the copious $f_0(1710)$ production in radiative $J/\psi$ decays lend further support to the prominent glueball nature of $f_0(1710)$.

16 pages; add discussions on the justification of the lattice results as input for this work, to appear in Phys. Rev. D

References in corpus (2)

• X(1812) in Quarkonia-Glueball-Hybrid Mixing Scheme
• New Members in the $0^{+}$ ($0^{++})$ Family

Cited by in corpus (16)

• The Physics of Glueballs
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• A lattice study of the masses of singlet 0++ mesons
• Glueball nature of the sigma/f_0(600) from pi-pi and gamma-gamma scatterings
• Study of scalar mesons f_0(980) and f_0(1500) from $B\to f_0(980)K$ and $B\to f_0(1500)K$ Decays
• eta(1405) in a chiral approach based on mixing of the pseudoscalar glueball with the first radial excitations of eta and eta'
• Meson and glueball spectra with the relativistic flux tube model
• Glueball phenomenology and the relativistic flux tube model
• χ_{c0,2} decay into light meson pairs and its implication of the scalar meson structures
• Low Lying Scalar Resonances and Chiral Symmetry
• f_0(1710) production in exclusive B decays
• Gluon-Glueball Duality and Glueball Searches
• Scalar and Pseudoscalar Glueballs
• A Consistent Scenario for B to PS Decays