Improved measurement of the branching fraction of $h_{c}\rightarrowγη^\prime/η$ and search for $h_{c}\rightarrowγπ^0$
Creators: name: BESIII Collaboration
name: Ablikim, M.
name: Achasov, M. N.
name: Adlarson, P.
name: Afedulidis, O.
name: Ai, X. C.
name: Aliberti, R.
name: Amoroso, A.
name: An, Q.
name: Bai, Y.
name: Bakina, O.
name: Balossino, I.
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name: Bao, H. -R.
name: Batozskaya, V.
name: Begzsuren, K.
name: Berger, N.
name: Berlowski, M.
name: Bertani, M.
name: Bettoni, D.
name: Bianchi, F.
name: Bianco, E.
name: Bortone, A.
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name: Brueggemann, A.
name: Cai, H.
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name: Calcaterra, A.
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name: Chang, J. F.
name: Che, G. R.
name: Che, Y. Z.
name: Chelkov, G.
name: Chen, C.
name: Chen, C. H.
name: Chen, Chao
name: Chen, G.
name: Chen, H. S.
name: Chen, H. Y.
name: Chen, M. L.
name: Chen, S. J.
name: Chen, S. L.
name: Chen, S. M.
name: Chen, T.
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name: Cibinetto, G.
name: Cossio, F.
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name: Dbeyssi, A.
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name: Dedovich, D.
name: Deng, C. Q.
name: Deng, Z. Y.
name: Denig, A.
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name: Destefanis, M.
name: De Mori, F.
name: Ding, B.
name: Ding, X. X.
name: Ding, Y.
name: Ding, Y.
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name: Dong, L. Y.
name: Dong, M. Y.
name: Dong, X.
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name: Du, S. X.
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name: Duan, Z. H.
name: Egorov, P.
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name: Fang, W. X.
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name: Farinelli, R.
name: Fava, L.
name: Feldbauer, F.
name: Felici, G.
name: Feng, C. Q.
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name: Gao, H.
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name: Zhu, J.
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name: Zhu, K. S.
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Publisher: name: arXiv
Year: 2024
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: The processes $h_c\toγP(P = η^\prime,~η,~π^0)$ are studied with a sample of $(27.12\pm0.14)\times10^{8}$ $ψ(3686)$ events collected by the BESIII detector at the BEPCII collider. The decay $h_{c}\rightarrowγη$ is observed for the first time with the significance of $9.0\,σ$, and the branching fraction is determined to be $(3.77\pm0.55\pm0.13\pm0.26)\times10^{-4}$, while $\mathscr{B}(h_{c}\rightarrowγη^\prime)$ is measured to be $(1.40\pm0.11\pm0.04\pm0.10)\times10^{-3}$, where the first uncertainties are statistical, the second systematic, and the third from the branching fraction of $ψ(3686)\rightarrowπ^{0}h_c$. The combination of these results allows for a precise determination of $R_{h_c}=\frac{\mathscr{B}(h_c\rightarrowγη)}{\mathscr{B}(h_c\rightarrowγη^\prime)}$, which is calculated to be $(27.0\pm4.4\pm1.0)\%$. The results are valuable for gaining a deeper understanding of $η-η^\prime$ mixing, and its manifestation within quantum chromodynamics. No significant signal is found for the decay $h_c\rightarrowγπ^{0}$, and an upper limit is placed on its branching fraction of $\mathscr{B}(h_c\rightarrowγπ^{0})&lt;5.0\times10^{-5}$, at the 90$\%$ confidence level.