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arXiv · 2506.09305

$\eta$ and $\eta'$ meson production in $J/\psi$ radiative decays from lattice QCD

Mischa Batelaan·Jozef J. Dudek·Robert G. Edwards
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Abstract

We report on the computation of amplitudes describing the radiative decay processes $J/\psi \to \gamma \, \eta$ and $J/\psi \to \gamma \, \eta'$ from first principles via lattice QCD. Using lattices with two degenerate flavors of light quark and a heavier strange quark where $m_\pi \sim 391$ MeV, we compute three-point correlation functions using optimized meson operators with a range of momenta. The use of optimized operators allows access to the $\eta'$, even though it appears as an excited state, lying above the ground-state $\eta$ in the isoscalar pseudoscalar channel. Statistically precise signals are obtained in this disconnected process by averaging over large numbers of kinematically equivalent correlators. We determine transition form-factors as a function of photon virtuality across the timelike region, which describe also the 'Dalitz' processes $J/\psi \to e^+ e^- \, \eta^{(\prime)}$. Significantly lower magnitudes of transition form-factor for both the $\eta$ and $\eta'$ are found than those extracted from experimental data, and possible explanations for this observation are presented.

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Mischa Batelaan, Jozef J. Dudek, Robert G. Edwards. 2025-06-11. $\eta$ and $\eta'$ meson production in $J/\psi$ radiative decays from lattice QCD. https://arxiv.org/abs/2506.09305

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