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Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
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abstract
A coupled-channel analysis of BESIII data on radiative $J/\psi$ decays into $\pi\pi$, $K\bar K$, $\eta\eta$ and $\omega\phi$ has been performed. The partial-wave amplitude is constrained by a large number of further data. The analysis finds ten isoscalar scalar mesons. Their masses, widths and decay modes are determined. The scalar mesons are interpreted as mainly SU(3)-singlet and mainly octet states. Octet isoscalar scalar states are observed with significant yields only in the 1500-2100\,MeV mass region. Singlet scalar mesons are produced over a wide mass range but their yield peaks in the same mass region. The peak is interpreted as scalar glueball. Its mass and width are determined to $M=1865$\er25$^{+10}_{-30}$ {\rm MeV} and $\Gamma= 370$\er$50^{+30}_{-20}$ {\rm MeV}, its yield in radiative $J/\psi$ decays to ($5.8\pm 1.0)\,10^{-3}$.
Forward citations
Cited by 4 Pith papers
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$\eta$ and $\eta'$ production in $J/\psi$ radiative decays from quantum chromodynamics
The first 2+1 flavor lattice QCD calculation of J/psi to gamma eta and gamma eta' form factors finds an enhanced eta'/eta ratio but absolute rates below experiment at m_pi around 391 MeV.
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$\eta$ and $\eta'$ meson production in $J/\psi$ radiative decays from lattice QCD
A 2+1 flavor lattice QCD calculation determines the J/psi to gamma eta and J/psi to gamma eta' transition form factors separately for the first time, finding rates below experiment.
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Scalar glueball-$s\bar{s}$ mixing in one flavor lattice QCD
A lattice QCD simulation with one dynamical strange quark finds a large scalar glueball-s̄s mixing angle |θ|≈40.7(2.7)° and mixing energy x_s≈239(24) MeV, implying strong glueball-strange-quark mixing.
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Partial wave analysis of reactions with four meson final states
This paper presents a covariant tensor formalism for partial-wave amplitudes of resonances decaying to four pseudoscalar mesons, covering two-resonance and cascade topologies.
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