On Two-Body Decays of A Scalar Glueball

Abstract

We study two body decays of a scalar glueball. We show that in QCD a spin-0 pure glueball (a state only with gluons) cannot decay into a pair of light quarks if chiral symmetry holds exactly, i.e., the decay amplitude is chirally suppressed. However, this chiral suppression does not materialize itself at the hadron level such as in decays into ${\pi }^{+}{\pi }^{-}$ and $K^{+}{K}^{-}$, because in perturbative QCD the glueball couples to two (but not one) light quark pairs that hadronize to two mesons. Using QCD factorization based on an effective Lagrangian, we show that the difference of hadronization into $\pi \pi$ and $KK$ already leads to a large difference between $\mathrm{Br}({\pi }^{+}{\pi }^{-})$ and $\mathrm{Br}(K^{+}{K}^{-})$, even the decay amplitude is not chirally suppressed. Moreover, the small ratio of $R=\mathrm{Br}(\pi \pi )/\mathrm{Br}(K\bar{K})$ of $f_0(1710)$ measured in experiment does not imply $f_0(1710)$ to be a pure glueball. With our results it is helpful to understand the partonic contents if $\mathrm{Br}(\pi \pi )$ or $\mathrm{Br}(K\bar{K})$ is measured reliably.

revised version

References in corpus (21)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The glueball spectrum from an anisotropic lattice study
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• Observation of a near-threshold enhancement in th p pbar mass spectrum from radiative J/psi-->gamma p pbar decays
• Efficient glueball simulations on anisotropic lattices
• A QCD Analysis of the Mass Structure of the Nucleon
• BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
• Production of $f_0(1710)$, $f_0(1500)$, and $f_0(1370)$ in $J/\psi$ hadronic decays
• Chiral Suppression of Scalar Glueball Decay
• SU(3) Breaking in K and K* Distribution Amplitudes
• Predictions for $e^{+}{e}^{-}\to J/\psi {\eta }_c$ with Light-Cone Wave-Functions
• Partial wave analyses of J/psi to gamma pi^+ pi^- and gamma pi^0 pi^0
• A possible 0^{-+} glueball candidate X(1835)
• Implications of a new particle from the HyperCP data on Σ^+ \to p μ^+ μ^-
• Problems of QCD factorization in exclusive decays of B meson to charmonium
• A Lattice Study of the Glueball Spectrum
• Comment on "Chiral Suppression of Scalar Glueball Decay"
• Reply to Comment on "Chiral suppression of scalar glueball decay"

Cited by in corpus (13)

• An updated review of the new hadron states
• The Physics of Glueballs
• Two-body hadronic charmed meson decays
• Glueball scattering cross section in lattice SU(2) Yang-Mills theory
• Revisiting Scalar Glueballs
• Mass Spectra of $0^{+-}$, $1^{-+}$, and $2^{+-}$ Exotic Glueballs
• Glueballs as the Ithaca of meson spectroscopy
• Scalar glueballs: Constraints from the decays into $\eta$ or ${\eta }^{\prime }$
• Using QCD Counting rules to Identify the Production of Gluonium
• Glueball Production via Gluonic Penguin B Decays
• Gluon-Glueball Duality and Glueball Searches
• Charmonium hadronic decays and the OZI rule violation effects
• Precise Measurement of the ${\chi }_{c0}$ Resonance Parameters and Branching Fractions of ${\chi }_{c0,c2}\to {\pi }^{+}{\pi }^{-}/K^{+}{K}^{-}$