Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing

Abstract

We deduce the mass of the pseudoscalar glueball $G$ from an $\eta$-${\eta }^{\prime }$-$G$ mixing formalism based on the anomalous Ward identity for transition matrix elements. With the inputs from the recent KLOE experiment, we find a solution for the pseudoscalar glueball mass around $(1.4\pm 0.1)$ GeV, which is fairly insensitive to a range of inputs with or without Okubo-Zweig-Iizuka-rule violating effects. This affirms that $\eta (1405)$, having a large production rate in the radiative $J/\Psi$ decay and not seen in $\gamma \gamma$ reactions, is indeed a leading candidate for the pseudoscalar glueball. Other relevant quantities including the anomaly and pseudoscalar density matrix elements are obtained. The decay widths for $G\to \gamma \gamma$, ${\ell }^{+}{\ell }^{-}$ are also predicted.

12 pages no figure, version to appear in PRD

References in corpus (28)

• The glueball spectrum from an anisotropic lattice study
• Mixing and Decay Constants of Pseudoscalar Mesons
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• A comprehensive lattice study of SU(3) glueballs
• Quark structure of pseudoscalar mesons
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• On the 1/N expansion in chiral perturbation theory
• Masses, decays and mixings of gluonia in QCD
• Topological susceptibility in the SU(3) gauge theory
• Effective Hadron Dynamics: From Meson Masses to the Proton Spin Puzzle
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• On the gluon content of the eta and eta' mesons
• X(1835) as the Lowest Mass Pseudoscalar Glueball and Proton Spin Problem
• Direct instantons, topological charge screening and QCD glueball sum rules
• Precision study of the SU(3) topological susceptibility in the continuum
• Glueballs, closed fluxtubes and eta(1440)
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• Decays of $J/\psi$ and ${\psi }^{\prime }$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing
• A possible 0^{-+} glueball candidate X(1835)
• Radiative VPgamma transitions and eta-eta' mixing
• Light resonances in Ks K pi and eta pi pi final states in gamma gamma collisions at LEP
• Some properties of the newly observed X(1835) state at BES
• Pseudoscalar Glueball Mass: QCD vs. Lattice Gauge Theory Prediction
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• Implications for $B\to \eta K$ and $B\to Glueball+K$ Modes from Observed Large $B\to {\eta }^{\prime }K+X$
• New meson mass relation and lowest pseudoscalar glueball mass

Cited by in corpus (64)

• An updated review of the new hadron states
• Towards the glueball spectrum from unquenched lattice QCD
• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• A viable QCD axion in the MeV mass range
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Charm and strange quark masses and $f_{D_s}$ from overlap fermions
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Categorizing resonances X(1835), X(2120) and X(2370) in the pseudoscalar meson family
• Glueball mass measurements from improved staggered fermion simulations
• A study of the eta and eta' mesons with improved staggered fermions
• Determining the $\eta -{\eta }^{\prime }$ mixing by the newly measured $BR(D(D_s)\to \eta ({\eta }^{\prime })+\bar{l}+{\nu }_l$
• Pseudoscalar glueball and $\eta -{\eta }^{\prime }$ mixing
• Open charm effects in the explanation of the long-standing "$\rho \pi$ puzzle"
• Internal particle width effects on the the triangle singularity mechanism in the study of the $\eta (1405)$ and $\eta (1475)$ puzzle
• Anatomy of $B\to K{\eta }^{(\prime )}$ decays in different mixing schemes and effects of next-to-leading order contributions in the perturbative QCD approach
• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• eta(1405) in a chiral approach based on mixing of the pseudoscalar glueball with the first radial excitations of eta and eta'
• Hochschild homology, trace map and $\zeta$-cycles
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• Implications on $\eta$-${\eta }^{\prime }$-glueball mixing from $B_{d/s}\to J/\Psi {\eta }^{{(}^{\prime })}$ Decays
• Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
• ${\eta }_c$ mixing effects on charmonium and $B$ meson decays
• Dispersive analysis of glueball masses
• Glueball phenomenology and the relativistic flux tube model
• Scalar glueballs: Constraints from the decays into $\eta$ or ${\eta }^{\prime }$
• The pseudoscalar glueball in a chiral Lagrangian model with instanton effect
• Holographic QCD predictions for production and decay of pseudoscalar glueballs
• Some Results on Vector and Tensor Meson Mixing in a Generalized QCD-like Theory
• The Glueball content of ${\eta }_c$
• Revisiting the pseudoscalar meson and glueball mixing and key issues in the search for pseudscalar glueball state
• Nonleptonic charmless decays of $B_c\to TP,TV$ in the perturbative QCD approach
• Understanding the radiative decays of vector charmonia to light pseudoscalar mesons
• The entanglement dynamics of interacting qubits embedded in a spin environment with Dzyaloshinsky-Moriya term
• Identifying Glueball at 3.02 GeV in Baryonic $B$ Decays
• Gluonic nature of the newly observed state $X(2600)$
• Chiral field theory of $0^{-+}$ glueball
• Is $1^{-}+$ Meson a Hybrid?
• $\eta$-glueball mixing from $N_f=2$ lattice QCD
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• Dispersive Approach to Abelian Axial Anomaly, Mixing of Pseudoscalar Mesons and Symmetries
• Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space time dS4
• Glueball Production via Gluonic Penguin B Decays
• Two-photon decays and photoproduction on electrons of $\eta (550)$, ${\eta }^{\prime }(958)$, $\eta (1295)$, and $\eta (1475)$ mesons
• Abelian Decomposition and Glueball-Quarkonium Mixing in QCD
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• Finite-width Gaussian sum rules for $0^{-+}$ pseudoscalar glueball based on correction from instanton-gluon interference to correlation function
• Dispersive analysis of excited glueball states
• Phenomenology of a pseudoscalar glueball and charmed mesons
• Scalar and Pseudoscalar Glueballs
• Study of $B^{-}\to \Lambda \bar{p}{\eta }^{{(}^{\prime })}$ and ${\bar{B}}_s^0\to \Lambda \bar{\Lambda }{\eta }^{{(}^{\prime })}$ decays
• Studies on the $B\to \kappa \bar{\kappa }$ decays in the perturbative QCD approach
• eta - eta' - glueball mixing
• Gluon-pair-Creation Production Model of Strong Interaction Vertices
• Form factors for semileptonic $B_c$ decays into ${\eta }^{{(}^{\prime })}$ and Glueball
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays
• Quark distributions and gluon contents of eta and etaprime
• The semileptonic decays of $B/B_s$ meson in the perturbative QCD approach: A short review
• Ground state charmed meson spectra for N_f=2+1+1
• Possible candidate of 0^+ s\bar{s}s\bar{s} state
• An analysis of B meson decays to two light pseudoscalar nonets with deltaS=1 in QCD factorization approach
• Investigating some technical improvements to glueball calculations