The radiative decay of scalar glueball from lattice QCD

Abstract

We perform the first lattice QCD study on the radiative decay of the scalar glueball to the vector meson $\varphi$ in the quenched approximation. The calculations are carried out on three gauge ensembles with different lattice spacings, which enable us to do the continuum extrapolation. We first revisit the radiative $J/\psi$ decay into the scalar glueball $G$ and obtain the partial decay width $\Gamma (J/\psi \to \gamma G)=0.578(86)\text{keV}$ and the branching fraction $\text{Br}(J/\psi \to \gamma G)=6.2(9)\times 10^{-3}$. We then extend the similar calculation to the process $G\to \gamma \varphi$ and get the partial decay width $\Gamma (G\to \gamma \varphi )=0.074(47)\text{keV}$, which implies that the combined branching fraction of $J/\psi \to \gamma G\to \gamma \gamma \varphi$ is as small as $\mathcal{O}(10^{-9})$ such that this process is hardly detected by the BESIII experiment even with the large $J/\psi$ sample of $\mathcal{O}(10^{10})$. With the vector meson dominance model, the two-photon decay width of the scalar glueball is estimated to be $\Gamma (G\to \gamma \gamma )=0.53(46)\text{eV}$, which results in a large stickiness $S(G)\sim \mathcal{O}(10^4)$ of the scalar glueball by assuming the stickiness of $f_2(1270)$ to be one.

arXiv comment13 pages,11 figures. This version is to be published in SCPMA

References in corpus (49)

• The glueball spectrum from an anisotropic lattice study
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• Constrained Curve Fitting
• The Physics of Glueballs
• Efficient glueball simulations on anisotropic lattices
• Numerical Evidence for the Observation of a Scalar Glueball
• The Status of Glueballs
• Masses, decays and mixings of gluonia in QCD
• Static potentials and glueball masses from QCD simulations with Wilson sea quarks
• EVIDENCE FOR A SCALAR GLUEBALL
• Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball
• 50 Years of Quantum Chromodynamics
• The Experimental Status of Glueballs
• Radiative Transitions in Charmonium from Lattice QCD
• Towards the glueball spectrum from unquenched lattice QCD
• Identification of a Scalar Glueball
• Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach
• Production of $f_0(1710)$, $f_0(1500)$, and $f_0(1370)$ in $J/\psi$ hadronic decays
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• Number of $J/\psi$ events at BESIII
• Mixing of scalar glueballs and flavour-singlet scalar mesons
• The glueball spectrum of SU(3) gauge theory in 3+1 dimension
• The mixing of the f0(1370), f0(1500) and f0(1710) and the search for the scalar glueball
• Scalar Glueball in Radiative $J/\psi$ Decay on Lattice
• Chiral Suppression of Scalar Glueball Decay
• Hybrid meson decay from the lattice
• Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
• Hadronic decay of a vector meson from the lattice
• Partial wave analyses of J/psi to gamma pi^+ pi^- and gamma pi^0 pi^0
• Partial wave analysis of $J/\psi \to \gamma \eta \eta$
• Glueball mass measurements from improved staggered fermion simulations
• Revisiting Scalar Glueballs
• Light meson spectroscopy from Dalitz plot analyses of ${\eta }_c$ decays to ${\eta }^{\prime }{K}^{+}{K}^{-}$, ${\eta }^{\prime }{\pi }^{+}{\pi }^{-}$, and $\eta {\pi }^{+}{\pi }^{-}$ produced in two-photon interactions
• Study of the pseudoscalar glueball in $J/\psi$ radiative decays
• Lattice study on ${\eta }_{c2}$ and X(3872)
• Low-energy $D^{\ast +}{D}_1^0$ Scattering and the Resonance-like Structure $Z^{+}(4430)$
• Glueball spectrum from $N_f=2$ lattice QCD study on anisotropic lattices
• Singlet-octet-glueball mixing of scalar mesons
• Glueballs as the Ithaca of meson spectroscopy
• X(1812) in Quarkonia-Glueball-Hybrid Mixing Scheme
• Lattice Study of Radiative $J/\psi$ Decay to a Tensor Glueball
• Tuning the Tadpole Improved Clover Wilson Action on Coarse Anisotropic Lattices
• The Glueball content of ${\eta }_c$
• A Numerical Study of Improved Quark Actions on Anisotropic Lattices
• Radiative Decay Width of $J/\psi \to \gamma {\eta }_{(2)}$ from $N_f=2$ Lattice QCD
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• Magnetic order in lightly doped cuprates: Coherent vs. incoherent hole quasiparticles and non-magnetic impurities
• Glueball enhancements in p(gamma,VV)p through vector meson dominance
• Vector and Scalar Mesons' Mixing from QCD Sum Rules

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