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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.04415 |
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| _version_ | 1866915117153648640 |
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| author | Meng, Yu Liu, Chuan Wang, Teng Yan, Haobo |
| author_facet | Meng, Yu Liu, Chuan Wang, Teng Yan, Haobo |
| contents | We present a model-independent method to calculate the radiative transition without the momentum extrapolation for the off-shell transition factors. The on-shell transition factor is directly obtained from the lattice hadronic function. We apply the method to calculate the charmonium radiative transition $J/ψ\rightarrow γη_c$. After a continuous extrapolation under three lattice spacings, we obtain the on-shell transition factor as $V(0)=1.90(4)$, where the error is the statistical error that already takes into account the $a^2$-error in the continuous extrapolation. Finally, we determine the branching fraction of $J/ψ\rightarrow γη_c$ as $\operatorname{Br}(J/ψ\rightarrow γη_c)=2.49(11)_{\textrm{lat}}(5)_{\textrm{exp}}$, where the second error comes from the uncertainty of $J/ψ$ total decay width $92.6(1.7)$ keV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04415 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattice study of $J/ψ\rightarrow γη_c$ using a method without momentum extrapolation Meng, Yu Liu, Chuan Wang, Teng Yan, Haobo High Energy Physics - Lattice High Energy Physics - Experiment We present a model-independent method to calculate the radiative transition without the momentum extrapolation for the off-shell transition factors. The on-shell transition factor is directly obtained from the lattice hadronic function. We apply the method to calculate the charmonium radiative transition $J/ψ\rightarrow γη_c$. After a continuous extrapolation under three lattice spacings, we obtain the on-shell transition factor as $V(0)=1.90(4)$, where the error is the statistical error that already takes into account the $a^2$-error in the continuous extrapolation. Finally, we determine the branching fraction of $J/ψ\rightarrow γη_c$ as $\operatorname{Br}(J/ψ\rightarrow γη_c)=2.49(11)_{\textrm{lat}}(5)_{\textrm{exp}}$, where the second error comes from the uncertainty of $J/ψ$ total decay width $92.6(1.7)$ keV. |
| title | Lattice study of $J/ψ\rightarrow γη_c$ using a method without momentum extrapolation |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2411.04415 |