$η$ and $η'$ meson production in $J/ψ$ radiative decays from lattice QCD
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866909645848707072 |
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| author | Batelaan, Mischa Dudek, Jozef J. Edwards, Robert G. |
| author_facet | Batelaan, Mischa Dudek, Jozef J. Edwards, Robert G. |
| contents | We report on the computation of amplitudes describing the radiative decay processes $J/ψ\to γ\, η$ and $J/ψ\to γ\, η'$ from first principles via lattice QCD. Using lattices with two degenerate flavors of light quark and a heavier strange quark where $m_π\sim 391$ 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 $η'$, even though it appears as an excited state, lying above the ground-state $η$ 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 $J/ψ\to e^+ e^- \, η^{(\prime)}$. Significantly lower magnitudes of transition form-factor for both the $η$ and $η'$ are found than those extracted from experimental data, and possible explanations for this observation are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $η$ and $η'$ meson production in $J/ψ$ radiative decays from lattice QCD Batelaan, Mischa Dudek, Jozef J. Edwards, Robert G. High Energy Physics - Lattice High Energy Physics - Phenomenology We report on the computation of amplitudes describing the radiative decay processes $J/ψ\to γ\, η$ and $J/ψ\to γ\, η'$ from first principles via lattice QCD. Using lattices with two degenerate flavors of light quark and a heavier strange quark where $m_π\sim 391$ 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 $η'$, even though it appears as an excited state, lying above the ground-state $η$ 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 $J/ψ\to e^+ e^- \, η^{(\prime)}$. Significantly lower magnitudes of transition form-factor for both the $η$ and $η'$ are found than those extracted from experimental data, and possible explanations for this observation are presented. |
| title | $η$ and $η'$ meson production in $J/ψ$ radiative decays from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.09305 |