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

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• The Physics of Glueballs
• The Status of Glueballs
• Towards the glueball spectrum from unquenched lattice QCD
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• Is f0(1710) a glueball?
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Scalar Glueball in Radiative $J/\psi$ Decay on Lattice
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• 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
• Singlet-octet-glueball mixing of scalar mesons
• eta(1405) in a chiral approach based on mixing of the pseudoscalar glueball with the first radial excitations of eta and eta'
• Glueballs as the Ithaca of meson spectroscopy
• Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B_{(s)0}^{\ast }$ and $B_{(s)1}^{\prime }$ Mesons
• Meson and glueball spectra with the relativistic flux tube model
• Newly observed $a_0(1817)$ as the scaling point of constructing the scalar meson spectroscopy
• Glueball phenomenology and the relativistic flux tube model
• Spectra of glueballs and oddballs and the equation of state from holographic QCD
• χ_{c0,2} decay into light meson pairs and its implication of the scalar meson structures
• Phenomenology of pseudotensor mesons and the pseudotensor glueball
• Analytical study of a gas of gluonic quasiparticles at high temperature: effective mass, pressure and trace anomaly
• Two-body charmed B(Bs) decays involving a light scalar meson
• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• $0^{++}$ scalar glueball in finite-width Gaussian sum rules
• Glueball-glueball scattering and the glueballonium
• From well-known tensor mesons to yet unknown axial-tensor mesons
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Study of scalar meson a_0(1450) from B \to a_0(1450)K^* Decays
• Interaction of the pseudoscalar glueball with (pseudo)scalar mesons and nucleons
• The finite-width Laplace sum rules for $0^{++}$ scalar glueball in instanton liquid model
• Glueball Production via Gluonic Penguin B Decays
• Charmless $B_s\to VS$ Decays in PQCD Approach
• Low Lying Scalar Resonances and Chiral Symmetry
• Gluon-Glueball Duality and Glueball Searches
• f_0(1710) production in exclusive B decays
• Modelling glueballs
• Scalar and Pseudoscalar Glueballs
• Light Meson Masses using AdS/QCD modified Soft Wall Model
• A Consistent Scenario for B to PS Decays
• Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons
• Semileptonic $B^{-}\to f_0(1710,1500,1370)e^{-}{\bar{\nu }}_e$ decays
• The radiative decay of scalar glueball from lattice QCD
• Study of f_0(980) and f_0(1500) from B_s \to f_0(980)π, f_0(1500)πDecays
• Dynamical generation of hadronic resonances in effective models with derivative interactions
• Exclusive semileptonic $B$ decays to the ground and excited states of light mesons