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Radiative Decay Width of $J/\psi\to\gamma\eta$ from $N_f=2$ Lattice QCD

19 Aug 2022, 17:40
25m

Speaker

Xiangyu Jiang (Institute of High Energy Physics, Chinese Academy of Sciences)

Description

We present the first lattice QCD calculation of partial decay width from $J/\psi$ to $\gamma\eta$ to confirm that QCD $U_A(1)$ anomaly enhances the coupling of gluons with flavor singlet pseudoscalar mesons. The lattice simulation is carried out using $N_f=2$ lattice QCD gauge configurations at the pion mass $m_{\pi} \approx 350$ MeV. In particular, the distillation method has been utilized to calculate light quark loops. The results are reported here with the mass $m_\eta= 718(8)$ MeV and the decay width $\Gamma(J/\psi\to\gamma \eta)=0.385(45)$ keV. By assuming the dominance of $U_A(1)$ anomaly and flavor singlet-octet mixing angle $\theta=-24.5^\circ$, the production rates for the physical $\eta$ and $\eta^\prime$ in $J/\psi$ radiative decay are predicted to be $1.15(14)\times 10^{-3}$ and $4.49(53)\times 10^{-3}$, respectively. Our results agree well with the experimental measurement data and confirm that $U_A(1)$ anomaly plays an important role in the $J/\psi$ radiative decay. Lattice QCD provides a promising approach for the studies of light hadrons generated from $J/\psi$.

Category talk

Primary author

Xiangyu Jiang (Institute of High Energy Physics, Chinese Academy of Sciences)

Co-authors

Mr Feiyu Chen (Institute of High Energy Physics, Chinese Academy of Sciences) Prof. Ming Gong (Institute of High Energy Physics, Chinese Academy of Sciences) Prof. Ning Li (School of Science, Xi'an Technological University) Dr Renqiang Zhang (Institute of High Energy Physics, Chinese Academy of Sciences) Dr Wei Sun (Institute of High Energy Physics, Chinese Academy of Sciences) Prof. Ying Chen (Institute of High Energy Physics, Chinese Academy of Sciences) Prof. Zhaofeng Liu (Institute of High Energy Physics, Chinese Academy of Sciences)

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