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Improved measurement of the branching fraction of h_c→γη^'/η and search for h_c→γπ^0

BESIII Collaboration,M. Ablikim,M. N. Achasov,P. Adlarson,O. Afedulidis,X. C. Ai,R. Aliberti,A. Amoroso,Q. An,Y. Bai,O. Bakina,I. Balossino,Y. Ban,H. -R. Bao,V. Batozskaya,K. Begzsuren,N. Berger,M. Berlowski,M. Bertani,D. Bettoni,F. Bianchi,E. Bianco,A. Bortone,I. Boyko,R. A. Briere,A. Brueggemann,H. Cai, X. Cai,A. Calcaterra,G. F. Cao,N. Cao,S. A. Cetin,J. F. Chang,G. R. Che, Y. Z. Che,G. Chelkov,C. Chen,C. H. Chen,Chao Chen,G. Chen,H. S. Chen,H. Y. Chen,M. L. Chen,S. J. Chen,S. L. Chen,S. M. Chen,T. Chen,X. R. Chen,X. T. Chen,Y. B. Chen,Y. Q. Chen,Z. J. Chen,Z. Y. Chen,S. K. Choi,G. Cibinetto,F. Cossio,J. J. Cui,H. L. Dai,J. P. Dai,A. Dbeyssi,R. E. de Boer,D. Dedovich,C. Q. Deng,Z. Y. Deng,A. Denig,I. Denysenko,M. Destefanis,F. De Mori,B. Ding,X. X. Ding,Y. Ding, Y. Ding,J. Dong,L. Y. Dong,M. Y. Dong,X. Dong,M. C. Du,S. X. Du,Y. Y. Duan,Z. H. Duan,P. Egorov,Y. H. Fan,J. Fang, J. Fang,S. S. Fang,W. X. Fang,Y. Fang, Y. Q. Fang,R. Farinelli,L. Fava,F. Feldbauer,G. Felici,C. Q. Feng,J. H. Feng,Y. T. Feng,M. Fritsch,C. D. Fu,J. L. Fu,Y. W. Fu,H. Gao,X. B. Gao,Y. N. Gao,Yang Gao,S. Garbolino,I. Garzia,L. Ge,P. T. Ge,Z. W. Ge,C. Geng,E. M. Gersabeck,A. Gilman,K. Goetzen,L. Gong,W. X. Gong,W. Gradl,S. Gramigna,M. Greco,M. H. Gu,Y. T. Gu,C. Y. Guan,A. Q. Guo,L. B. Guo,M. J. Guo,R. P. Guo,Y. P. Guo,A. Guskov,J. Gutierrez,K. L. Han,T. T. Han,F. Hanisch,X. Q. Hao,F. A. Harris,K. K. He,K. L. He,F. H. Heinsius,C. H. Heinz,Y. K. Heng,C. Herold,T. Holtmann,P. C. Hong,G. Y. Hou,X. T. Hou, Y. R. Hou,Z. L. Hou,B. Y. Hu,H. M. Hu,J. F. Hu,S. L. Hu,T. Hu,Y. Hu,G. S. Huang,K. X. Huang,L. Q. Huang,X. T. Huang,Y. P. Huang,Y. S. Huang,T. Hussain,F. Hölzken,N. Hüsken,N. in der Wiesche,J. Jackson,S. Janchiv,J. H. Jeong,Q. Ji, Q. P. Ji,W. Ji,X. B. Ji,X. L. Ji,Y. Y. Ji,X. Q. Jia,Z. K. Jia,D. Jiang,H. B. Jiang,P. C. Jiang,S. S. Jiang,T. J. Jiang,X. S. Jiang,Y. Jiang,J. B. Jiao,J. K. Jiao,Z. Jiao,S. Jin,Y. Jin,M. Q. Jing, X. M. Jing,T. Johansson,S. Kabana,N. Kalantar-Nayestanaki,X. L. Kang,X. S. Kang,M. Kavatsyuk,B. C. Ke,V. Khachatryan,A. Khoukaz,R. Kiuchi,O. B. Kolcu,B. Kopf,M. Kuessner,X. Kui,N. Kumar,A. Kupsc,W. Kühn,J. J. Lane,L. Lavezzi,T. T. Lei,Z. H. Lei,M. Lellmann,T. Lenz,C. Li,C. Li,C. H. Li,Cheng Li,D. M. Li,F. Li,G. Li,H. B. Li,H. J. Li,H. N. Li,Hui Li,J. R. Li,J. S. Li,K. Li,K. L. Li,L. J. Li,L. K. Li,Lei Li,M. H. Li,P. R. Li,Q. M. Li,Q. X. Li,R. Li,S. X. Li,T. Li,W. D. Li,W. G. Li,X. Li,X. H. Li,X. L. Li,X. Y. Li,X. Z. Li,Y. G. Li,Z. J. Li,Z. Y. Li,C. Liang,H. Liang,H. Liang,Y. F. Liang, Y. T. Liang,G. R. Liao,Y. P. Liao,J. Libby,A. Limphirat,C. C. Lin,D. X. Lin,T. Lin,B. J. Liu,B. X. Liu,C. Liu,C. X. Liu,F. Liu,F. H. Liu,Feng Liu,G. M. Liu,H. Liu,H. B. Liu,H. H. Liu,H. M. Liu,Huihui Liu,J. B. Liu,J. Y. Liu,K. Liu,K. Y. Liu,Ke Liu,L. Liu,L. C. Liu,Lu Liu,M. H. Liu,P. L. Liu,Q. Liu,S. B. Liu,T. Liu,W. K. Liu,W. M. Liu,X. Liu,X. Liu,Y. Liu,Y. Liu,Y. B. Liu,Z. A. Liu,Z. D. Liu,Z. Q. Liu,X. C. Lou,F. X. Lu,H. J. Lu,J. G. Lu,X. L. Lu,Y. Lu, Y. P. Lu, Z. H. Lu,C. 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arxiv(2024)

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Abstract
The processes h_c→γ P(P = η^', η, π^0)) are studied with a sample of (27.12±0.14)×10^8 ψ(3686) events collected by the BESIII detector at the BEPCII collider. The branching fractions of h_c→γη^' and h_c→γη are measured to be (1.40±0.11±0.04±0.10)×10^-3 and (3.77±0.55±0.13±0.26)×10^-4, respectively, where the first uncertainties are statistical, the second systematic, and the third from the branching fraction of ψ(3686)→π^0h_c. The ratio R_h_c=ℬ(h_c→γη)/ℬ(h_c→γη^') is calculated to be (27.0±4.4±1.0)%. The measurements are consistent with the previous results with improved precision by a factor of 2. The results are valuable for gaining a deeper understanding of η-η^' mixing, and its manifestation within quantum chromodynamics. No significant signal is found for the decay h_c→γπ^0, and an upper limit is placed on its branching fraction of ℬ(h_c→γπ^0)<5.0×10^-5, at the 90% confidence level.
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