# Study of the rare decay ${ \boldsymbol J/\boldsymbol\psi \to {\bf 2}{\boldsymbol\gamma}{\boldsymbol{+hadrons}} }$ at the BESIII

• The two-photon radiative decay process $J/\psi \to 2\gamma+hadrons$ was studied, and the main contribution processes, $J/\psi \to 2\gamma + g g g$ and $J/\psi \to 2\gamma + q \bar{q}$, were calculated. With the specific conditions at the BESIII, this rare decay process and the main background process $e^{+} e^{-} \to \gamma \gamma + hadrons (q \bar{q})$were investigated. The results show that the ratio of signal to background can reach 1.24 with optimized selection criteria at the BESIII. In addition, distributions of the signal and background are presented. All the results show that the signal is large enough to be experimentally measured.
•  [1] M. Ablikim et al. (BESⅢ), Chin. Phys. C 36, 915 (2012), arXiv:1207.2865[hep-ex doi: 10.1088/1674-1137/36/10/001 [2] M. Ablikim et al. (BESⅢ), Chin. Phys. C 41, 013001 (2017), arXiv:1607.00738[hep-ex doi: 10.1088/1674-1137/41/1/013001 [3] Number of \begin{document}$J/\psi$\end{document} events at BESⅢ, (2021), arXiv: 2111.07571[hep-ex] [4] W. Chen, Y. Jia, Z. Mo et al., Phys. Rev. D 104, 094023 (2021), arXiv:2009.12363[hep-ph doi: 10.1103/PhysRevD.104.094023 [5] M. Ablikim et al. (BESⅢ), Observation of \begin{document}$J/\psi$\end{document} decays to \begin{document}$e^{+}e^{-}e^{+}e^{-}$\end{document} and \begin{document}$e^{+}e^{-}\mu^{+}\mu^{-}$\end{document}, (2021), arXiv: 2111.13881[hep-ex] [6] P. A. Zyla et al. (Particle Data Group), PTEP 2020, 083C (2020) [7] D. Coffman et al. (MARK-Ⅲ), Phys. Rev. D 41, 1410 (1990) doi: 10.1103/PhysRevD.41.1410 [8] J. Z. Bai et al. (BES), Phys. Lett. B 594, 47 (2004), arXiv:hep-ex/0403008 doi: 10.1016/j.physletb.2004.04.085 [9] M. Ablikim et al. (BESⅢ), Phys. Rev. D 97, 051101 (2018), arXiv:1801.02127[hep-ex doi: 10.1103/PhysRevD.97.051101 [10] G. T. Bodwin, E. Braaten, and G. P. Lepage, Phys. Rev. D 51, 1125 (1995) doi: 10.1103/PhysRevD.51.1125 [11] D. Besson et al. (CLEO), Phys. Rev. D 78, 032012 (2008), arXiv:0806.0315[hep-ex doi: 10.1103/PhysRevD.78.032012 [12] J.-X. Wang, Nucl. Instrum. Meth. A 534, 241 (2004), arXiv:hep-ph/0407058 doi: 10.1016/j.nima.2004.07.094

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Feng Zhang and Jian-Xiong Wang. Study of the rare decay ${ \boldsymbol J/\boldsymbol\psi \to {\bf 2}{\boldsymbol\gamma}{\boldsymbol{+hadrons}} }$ at the BESIII[J]. Chinese Physics C. doi: 10.1088/1674-1137/ac7299
Feng Zhang and Jian-Xiong Wang. Study of the rare decay ${ \boldsymbol J/\boldsymbol\psi \to {\bf 2}{\boldsymbol\gamma}{\boldsymbol{+hadrons}} }$ at the BESIII[J]. Chinese Physics C.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Study of the rare decay ${ \boldsymbol J/\boldsymbol\psi \to {\bf 2}{\boldsymbol\gamma}{\boldsymbol{+hadrons}} }$ at the BESIII

• 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
• 2. University of Chinese Academy of Sciences, Beijing 100049, China

Abstract: The two-photon radiative decay process $J/\psi \to 2\gamma+hadrons$ was studied, and the main contribution processes, $J/\psi \to 2\gamma + g g g$ and $J/\psi \to 2\gamma + q \bar{q}$, were calculated. With the specific conditions at the BESIII, this rare decay process and the main background process $e^{+} e^{-} \to \gamma \gamma + hadrons (q \bar{q})$were investigated. The results show that the ratio of signal to background can reach 1.24 with optimized selection criteria at the BESIII. In addition, distributions of the signal and background are presented. All the results show that the signal is large enough to be experimentally measured.

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