Observation of resonance structures in $e^+e^-\to
\pi^+\pi^-\psi_2(3823)$ and mass measurement of $\psi_2(3823)$
BESIII Collaboration,M. Ablikim,M. N. Achasov,P. Adlarson,M. Albrecht,R. Aliberti,A. Amoroso,M. R. An,Q. An,X. H. Bai,Y. Bai,O. Bakina,R. Baldini Ferroli,I. Balossino,Y. Ban,V. Batozskaya,D. Becker,K. Begzsuren,N. Berger,M. Bertani,D. Bettoni,F. Bianchi,J. Bloms,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,W. L. Chang,G. Chelkov,C. Chen,G. Chen,H. S. Chen,M. L. Chen,S. J. Chen,T. Chen,X. R. Chen,X. T. Chen,Y. B. Chen,Z. J. Chen,W. S. Cheng,G. Cibinetto,F. Cossio,J. J. Cui,H. L. Dai,J. P. Dai,A. Dbeyssi,R. E. de Boer,D. Dedovich,Z. Y. Deng,A. Denig,I. Denysenko,M. Destefanis,F. De Mori,Y. Ding,J. Dong,L. Y. Dong,M. Y. Dong,X. Dong,S. X. Du,P. Egorov,Y. L. Fan,J. Fang,S. S. Fang,Y. Fang,R. Farinelli,L. Fava,F. Feldbauer,G. Felici,C. Q. Feng,J. H. Feng,K Fischer,M. Fritsch,C. D. Fu,H. Gao,Y. N. Gao,Yang Gao,S. Garbolino,I. Garzia,P. T. Ge,Z. W. Ge,C. Geng,E. M. Gersabeck,A Gilman,L. Gong,W. X. Gong,W. Gradl,M. Greco,L. M. Gu,M. H. Gu,Y. T. Gu,C. Y Guan,A. Q. Guo,L. B. Guo,R. P. Guo,Y. P. Guo,A. Guskov,T. T. Han,W. Y. Han,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,G. Y. Hou,Y. R. Hou,Z. L. Hou,H. M. Hu,J. F. Hu,T. Hu,Y. Hu,G. S. Huang,K. X. Huang,L. Q. Huang,L. Q. Huang,X. T. Huang,Y. P. Huang,Z. Huang,T. Hussain,N Hüsken,W. Imoehl,M. Irshad,J. Jackson,S. Jaeger,S. Janchiv,Q. Ji,Q. P. Ji,X. B. Ji,X. L. Ji,Y. Y. Ji,Z. K. Jia,H. B. Jiang,S. S. Jiang,X. S. Jiang,Y. Jiang,J. B. Jiao,Z. Jiao,S. Jin,Y. Jin,M. Q. Jing,T. Johansson,N. Kalantar–Nayestanaki,X. S. Kang,R. Kappert,M. Kavatsyuk,B. C. Ke,I. K. Keshk,A. Khoukaz,P. Kiese,R. Kiuchi,L. Koch,O. B. Kolcu,B. Kopf,M. Kuemmel,M. Kuessner,A. Kupsc,W. Kühn,J. J. Lane,J. S. Lange,P. Larin,A. Lavania,L. Lavezzi,Z. H. Lei,H. Leithoff,M. Lellmann,T. Lenz,C. Li,C. Li,C. H. Li,Cheng Li,D. M. Li,F. Li,G. Li,H. Li,H. Li,H. B. Li,H. J. Li,H. N. Li,J. Q. Li,J. S. Li,J. W. Li,Ké Li,L. J Li,L. K. Li,Lei Li,M. H. Li,P. R. Li,S. X. Li,S. Y. Li,T. Li,W. D. Li,W. G. Li,X. H. Li,X. L. Li,Xiaoyü Li,H. Liang,H. Liang,H. Liang,Y. F. Liang,Y. T. Liang,G. R. Liao,L. Z. Liao,J. Libby,A. Limphirat,C. X. Lin,D. X. Lin,T. Lin,B. J. Liu,C. X. Liu,D. Liu,F. H. Liu,Fang Liu,Feng Liu,G. M. Liu,H. B. Liu,H. M. Liu,Huanhuan Liu,Huihui Liu,J. B. Liu,J. L. Liu,J. Y. Liu,K. Liu,K. Y. Liu,Ke Liu,L. Liu,Lu Liu,M. H. Liu,P. L. Liu,Q. Liu,S. B. Liu,T. Liu,W. K. Liu,W. M. Liu,X. Liu,Y. Liu,Y. B. Liu,Z. A. 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. L. Luo,M. X. Luo,T. Luo,X. L. Luo,X. R. Lyu,Y. F. Lyu,F. C. Ma,Hai-Xia Ma,L. L. Ma,M. M. Ma,Q. M. Ma,R. Q. Ma,R. T. Ma,X. Y. Ma,Y. Ma,F. E. Maas,M. Maggiora,S. Maldaner,S. Malde,Q. A. Malik,A. Mangoni,Y. J. Mao,Z. P. Mao,S. Marcello,Z. X. Meng,J. G. Messchendorp,G. Mezzadri,H. Miao,T. J. Min,R. E. Mitchell,X. H. Mo,N. Yu. Muchnoi,H. Muramatsu,S. Nakhoul,Y. Nefedov,F. Nerling,I. B. Nikolaev,Z. Ning,S. Nisar,Y. Niu,S. L. Olsen,Q. Ouyang,S. Pacetti,X. Pan,Y. Pan,A. Pathak,A. Pathak,M. Pelizaeus,H. P. Peng,J. Pettersson,J. L. Ping,R. G. Ping,S. Plura,S. Pogodin,R. Poling,V. Prasad,H. Qi,H. R. Qi,M. Qi,T. Y. Qi,S. Qian,W. B. Qian,Z. Qian,C. F. Qiao,J. J. Qin,L. Q. Qin,X. P. Qin,X. S. Qin,Zonghua Qin,J. F. Qiu,S. Q. Qu,S. Q. Qu,K. H. Rashid,K. Ravindran,C. F. Redmer,K. J. Ren,A. Rivetti,V. Rodin,M. Rolo,G. Rong,Ch. Rosner,M. Rump,H. S. Sang,A. Sarantsev,Y. Schelhaas,C. Schnier,K. Schoenning,M. Scodeggio,K. Y. Shan,W. Shan,X. Y. Shan,J. F. Shangguan,L. G. Shao,M. Shao,C. P. Shen,H. F. Shen,X. Y. Shen,B. A. Shi,H. C. Shi,R. S. Shi,X. Shi,X. D Shi,J. J. Song,W. M. Song,Y. X. Song,S. Sosio,S. Spataro,F. Stieler,K. X. Su,P. P. Su,Y. J. Su,G. X. Sun,H. Sun,H. K. Sun,J. F. Sun,L. Sun,S. S. Sun,T. Sun,W. Y. Sun,X Sun,Y. J. Sun,Y. Z. Sun,Z. T. Sun,Y. H. Tan,Y. X. Tan,C. J. Tang,G. Y. Tang,J. Tang,L. Y Tao,Q. T. Tao,J. X. Teng,V. Thoren,W. H. Tian,Y. Tian,I. Uman,B. Wang,B. L. Wang,C. W. Wang,D. Y. Wang,F. Wang,H. J. Wang,H. P. Wang,K. Wang,L. L. Wang,M. Wang,M. Z. Wang,Meng Wang,S. Wang,S. Wang,T. Wang,T. J. Wang,W. Wang,W. H. Wang,W. P. Wang,X. Wang,X. F. Wang,X. L. Wang,Y. D. Wang,Y. F. Wang,Y. H. Wang,Y. Q. Wang,Z. Wang,Z. Y. Wang,Ziyi Wang,D. H. Wei,F. Weidner,S. P. Wen,D. J. White,U. Wiedner,G. Wilkinson,M. Wolke,L. Wollenberg,J. F. Wu,L. H. Wu,L. J. Wu,X. Wu,X. H. Wu,Y. Wu,Z. Wu,L. Xia,T. Xiang,G. Y. Xiao,H. Xiao,S. Y. Xiao,Y. L. Xiao,Z. J. Xiao,C. Xie,X. H. Xie,Y. Xie,Y. G. Xie,Y. H. Xie,Z. P. Xie,T. Y. Xing,C. F. Xu,C. J. Xu,G. F. Xu,H. Y. Xu,Q. J. Xu,S. Y. Xu,X. P. Xu,Y. C. Xu,Z. P. Xu,F. Yan,L. Yan,W. B. Yan,W. C. Yan,H. J. Yang,H. L. Yang,H. X. Yang,L. Yang,S. L. Yang,Y. X. Yang,Yifan Yang,M. Ye,M. H. Ye,J. H. Yin,Z. Y. You,B. X. Yu,C. X. Yu,G. Yu,J. S. Yu,T. Yu,C. Z. Yuan,L. Yuan,S. C. Yuan,X. Q. Yuan,Y. Yuan,Z. Y. Yuan,C. X. Yue,A. A. Zafar,F. R. Zeng,X. Zeng Zeng,Y. Zeng,Y. H. Zhan,A. Q. Zhang,B. L. Zhang,B. X. Zhang,G. Y. Zhang,H. Zhang,H. H. Zhang,H. H. Zhang,H. Y. Zhang,J. L. Zhang,J. Q. Zhang,J. W. Zhang,J. Y. Zhang,J. Z. Zhang,Jianyu Zhang,Jiawei Zhang,L. M. Zhang,L. Q. Zhang,Lei Zhang,P. Zhang,Q. Y. Zhang,Shulei Zhang,X. D. Zhang,X. M. Zhang,X. Y. Zhang,X. Y. Zhang,Y. Zhang,Y. T. Zhang,Y. H. Zhang,Yan Zhang,Yao Zhang,Z. H. Zhang,Z. Y. Zhang,Z. Y. Zhang,G. Zhao,J. Zhao,J. Y. Zhao,J. Z. Zhao,Lei Zhao,Ling Zhao,M. G. Zhao,Q. Zhao,S. J. Zhao,Y. B. Zhao,Y. X. Zhao,Z. G. Zhao,A. Zhemchugov,B. Zheng,J. P. Zheng,Y. H. Zheng,B. Zhong,C. Zhong,X. Zhong,H. Zhou,L. P. Zhou,X. Zhou,X. K. Zhou,X. R. Zhou,X. Y. Zhou,Y. Z. Zhou,J. Zhu,K. Zhu,K. J. Zhu,L. X. Zhu,S. H. Zhu,S. Q. Zhu,T. J. Zhu,W. J. Zhu,Y. C. Zhu,Z. A. Zhu,B. S. Zou,J. H. Zou
arXiv (Cornell University)（2022）
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摘要
Using a data sample corresponding to an integrated luminosity of 11.3 $\rm fb^{-1}$ collected at center-of-mass energies from $4.23$ to $4.70$~GeV with the BESIII detector, we measure the product of the $e^+e^-\to \pi^+\pi^-\psi_2(3823)$ cross section and the branching ratio $\mathcal{B}[\psi_2(3823)\to \gamma\chi_{c1}]$. For the first time, resonance structures are observed in the cross section line shape of $e^+e^-\to \pi^+\pi^-\psi_2(3823)$ with significance exceeding five standard deviations. A fit to the $\sqrt{s}$-dependent cross section with two coherent Breit-Wigner resonances yields $M(R_1)=4406.9\pm 17.2\pm 4.5$~MeV/$c^2$, $\Gamma(R_1)=128.1\pm 37.2\pm 2.3$~MeV, and $M(R_2)=4647.9\pm 8.6\pm 0.8$~MeV/$c^2$, $\Gamma(R_2)=33.1\pm 18.6\pm 4.1$~MeV. The mass of the $\psi_2(3823)$ state is measured as $(3823.12\pm 0.43\pm 0.13)$~MeV/$c^2$, which is the most precise measurement to date. Here, the first uncertainties are statistical and the second systematic. An upper limit of $2.9$~MeV at the $90\%$ confidence level (C.L.) is estimated for the width of $\psi_2(3823)$. The $\psi_2(3823)\to\gamma\chi_{c2}$ process is also investigated and an upper limit for the relative branching ratio $R=\frac{\mathcal{B}[\psi_2(3823)\to\gamma\chi_{c2}]}{\mathcal{B}[\psi_2(3823)\to\gamma\chi_{c1}]}<0.51$ at the $90\%$ C.L.\ is given.
