Open Access

Partial wave analysis of $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ and cross section measurement of $e^{+} e^{-} \to π^{\pm} Z_{c} (3900)^{\mp}$ from 4.1271 to 4.3583 GeV

M. Ablikim¹, M. N. Achasov^4,b, P. Adlarson⁷⁶, O. Afedulidis³, X. C. Ai⁸¹, R. Aliberti³⁶, A. Amoroso^75a,75c, Q. An^72,59,†, Y. Bai⁵⁸ et al. (BESIII Collaboration)

Y. Bai⁵⁸, O. Bakina³⁷, I. Balossino^30a, Y. Ban^47,g, H.-R. Bao⁶⁴, V. Batozskaya^1,45, K. Begzsuren³³, N. Berger³⁶, M. Berlowski⁴⁵, M. Bertani^29a, D. Bettoni^30a, F. Bianchi^75a,75c, E. Bianco^75a,75c, A. Bortone^75a,75c, I. Boyko³⁷, R. A. Briere⁵, A. Brueggemann⁶⁹, H. Cai⁷⁷, X. Cai^1,59, A. Calcaterra^29a, G. F. Cao^1,64, N. Cao^1,64, S. A. Cetin^63a, J. F. Chang^1,59, G. R. Che⁴⁴, G. Chelkov^37,a, C. Chen⁴⁴, C. H. Chen⁹, Chao Chen⁵⁶, G. Chen¹, H. S. Chen^1,64, H. Y. Chen²⁰, M. L. Chen^1,59,64, S. J. Chen⁴³, S. L. Chen⁴⁶, S. M. Chen⁶², T. Chen^1,64, X. R. Chen^32,64, X. T. Chen^1,64, Y. B. Chen^1,59, Y. Q. Chen³⁵, Z. J. Chen^26,h, Z. Y. Chen^1,64, S. K. Choi^10a, G. Cibinetto^30a, F. Cossio^75c, J. J. Cui⁵¹, H. L. Dai^1,59, J. P. Dai⁷⁹, A. Dbeyssi¹⁸, R. E. de Boer³, F. De Mori^75a,75c, D. Dedovich³⁷, C. Q. Deng⁷³, Z. Y. Deng¹, A. Denig³⁶, I. Denysenko³⁷, M. Destefanis^75a,75c, B. Ding^1,67, X. X. Ding^47,g, Y. Ding³⁵, Y. Ding⁴¹, J. Dong^1,59, L. Y. Dong^1,64, M. Y. Dong^1,59,64, X. Dong⁷⁷, M. C. Du¹, S. X. Du⁸¹, Y. Y. Duan⁵⁶, Z. H. Duan⁴³, P. Egorov^37,a, Y. H. Fan⁴⁶, J. Fang^1,59, J. Fang⁶⁰, S. S. Fang^1,64, W. X. Fang¹, Y. Fang¹, Y. Q. Fang^1,59, R. Farinelli^30a, L. Fava^75b,75c, F. Feldbauer³, G. Felici^29a, C. Q. Feng^72,59, J. H. Feng⁶⁰, Y. T. Feng^72,59, M. Fritsch³, C. D. Fu¹, J. L. Fu⁶⁴, Y. W. Fu^1,64, H. Gao⁶⁴, X. B. Gao⁴², Y. N. Gao^47,g, Yang Gao^72,59, S. Garbolino^75c, I. Garzia^30a,30b, L. Ge⁸¹, P. T. Ge⁷⁷, Z. W. Ge⁴³, C. Geng⁶⁰, E. M. Gersabeck⁶⁸, A. Gilman⁷⁰, K. Goetzen¹³, L. Gong⁴¹, W. X. Gong^1,59, W. Gradl³⁶, S. Gramigna^30a,30b, M. Greco^75a,75c, M. H. Gu^1,59, Y. T. Gu¹⁵, C. Y. Guan^1,64, A. Q. Guo^32,64, L. B. Guo⁴², M. J. Guo⁵¹, R. P. Guo⁵⁰, Y. P. Guo^12,f, A. Guskov^37,a, J. Gutierrez²⁸, F. Hölzken³, N. Hüsken³⁶, K. L. Han⁶⁴, T. T. Han¹, F. Hanisch³, X. Q. Hao¹⁹, F. A. Harris⁶⁶, K. K. He⁵⁶, K. L. He^1,64, F. H. Heinsius³, C. H. Heinz³⁶, Y. K. Heng^1,59,64, C. Herold⁶¹, T. Holtmann³, P. C. Hong³⁵, G. Y. Hou^1,64, X. T. Hou^1,64, Y. R. Hou⁶⁴, Z. L. Hou¹, B. Y. Hu⁶⁰, H. M. Hu^1,64, J. F. Hu^57,i, S. L. Hu^12,f, T. Hu^1,59,64, Y. Hu¹, G. S. Huang^72,59, K. X. Huang⁶⁰, L. Q. Huang^32,64, X. T. Huang⁵¹, Y. P. Huang¹, Y. S. Huang⁶⁰, T. Hussain⁷⁴, N. in der Wiesche⁶⁹, J. Jackson²⁸, S. Janchiv³³, J. H. Jeong^10a, Q. Ji¹, Q. P. Ji¹⁹, W. Ji^1,64, X. B. Ji^1,64, X. L. Ji^1,59, Y. Y. Ji⁵¹, X. Q. Jia⁵¹, Z. K. Jia^72,59, D. Jiang^1,64, H. B. Jiang⁷⁷, P. C. Jiang^47,g, S. S. Jiang⁴⁰, T. J. Jiang¹⁶, X. S. Jiang^1,59,64, Y. Jiang⁶⁴, J. B. Jiao⁵¹, J. K. Jiao³⁵, Z. Jiao²³, S. Jin⁴³, Y. Jin⁶⁷, M. Q. Jing^1,64, X. M. Jing⁶⁴, T. Johansson⁷⁶, W. Kühn³⁸, S. Kabana³⁴, N. Kalantar-Nayestanaki⁶⁵, X. L. Kang⁹, X. S. Kang⁴¹, M. Kavatsyuk⁶⁵, B. C. Ke⁸¹, V. Khachatryan²⁸, A. Khoukaz⁶⁹, R. Kiuchi¹, O. B. Kolcu^63a, B. Kopf³, M. Kuessner³, X. Kui^1,64, N. Kumar²⁷, A. Kupsc^45,76, J. J. Lane⁶⁸, P. Larin¹⁸, L. Lavezzi^75a,75c, T. T. Lei^72,59, Z. H. Lei^72,59, M. Lellmann³⁶, T. Lenz³⁶, C. Li⁴⁴, C. Li⁴⁸, C. H. Li⁴⁰, Cheng Li^72,59, D. M. Li⁸¹, F. Li^1,59, G. Li¹, H. B. Li^1,64, H. J. Li¹⁹, H. N. Li^57,i, Hui Li⁴⁴, J. R. Li⁶², J. S. Li⁶⁰, K. Li¹, L. J. Li^1,64, L. K. Li¹, Lei Li⁴⁹, M. H. Li⁴⁴, P. R. Li^39,j,k, Q. M. Li^1,64, Q. X. Li⁵¹, R. Li^17,32, S. X. Li¹², T. Li⁵¹, W. D. Li^1,64, W. G. Li^1,†, X. Li^1,64, X. H. Li^72,59, X. L. Li⁵¹, X. Y. Li^1,64, X. Z. Li⁶⁰, Y. G. Li^47,g, Z. J. Li⁶⁰, Z. Y. Li⁷⁹, C. Liang⁴³, H. Liang^1,64, H. Liang^72,59, Y. F. Liang⁵⁵, Y. T. Liang^32,64, G. R. Liao¹⁴, L. Z. Liao^24,51,p, Y. P. Liao^1,64, J. Libby²⁷, A. Limphirat⁶¹, C. C. Lin⁵⁶, D. X. Lin^32,64, T. Lin¹, B. J. Liu¹, B. X. Liu⁷⁷, C. Liu³⁵, C. X. Liu¹, F. Liu¹, F. H. Liu⁵⁴, Feng Liu⁶, G. M. Liu^57,i, H. Liu^39,j,k, H. B. Liu¹⁵, H. H. Liu¹, H. M. Liu^1,64, Huihui Liu²¹, J. B. Liu^72,59, J. Y. Liu^1,64, K. Liu^39,j,k, K. Y. Liu⁴¹, Ke Liu²², L. Liu^72,59, L. C. Liu⁴⁴, Lu Liu⁴⁴, M. H. Liu^12,f, P. L. Liu¹, Q. Liu⁶⁴, S. B. Liu^72,59, T. Liu^12,f, W. K. Liu⁴⁴, W. M. Liu^72,59, X. Liu^39,j,k, X. Liu⁴⁰, Y. Liu⁸¹, Y. Liu^39,j,k, Y. B. Liu⁴⁴, Z. A. Liu^1,59,64, Z. D. Liu⁹, Z. Q. Liu⁵¹, X. C. Lou^1,59,64, F. X. Lu⁶⁰, H. J. Lu²³, J. G. Lu^1,59, X. L. Lu¹, Y. Lu⁷, Y. P. Lu^1,59, Z. H. Lu^1,64, C. L. Luo⁴², J. R. Luo⁶⁰, M. X. Luo⁸⁰, T. Luo^12,f, X. L. Luo^1,59, X. R. Lyu⁶⁴, Y. F. Lyu⁴⁴, F. C. Ma⁴¹, H. Ma⁷⁹, H. L. Ma¹, J. L. Ma^1,64, L. L. Ma⁵¹, M. M. Ma^1,64, Q. M. Ma¹, R. Q. Ma^1,64, T. Ma^72,59, X. T. Ma^1,64, X. Y. Ma^1,59, Y. Ma^47,g, Y. M. Ma³², F. E. Maas¹⁸, M. Maggiora^75a,75c, S. Malde⁷⁰, Y. J. Mao^47,g, Z. P. Mao¹, S. Marcello^75a,75c, Z. X. Meng⁶⁷, J. G. Messchendorp^13,65, G. Mezzadri^30a, H. Miao^1,64, T. J. Min⁴³, R. E. Mitchell²⁸, X. H. Mo^1,59,64, B. Moses²⁸, N. Yu. Muchnoi^4,b, J. Muskalla³⁶, Y. Nefedov³⁷, F. Nerling^18,d, L. S. Nie²⁰, I. B. Nikolaev^4,b, Z. Ning^1,59, S. Nisar^11,l, Q. L. Niu^39,j,k, W. D. Niu⁵⁶, Y. Niu⁵¹, S. L. Olsen⁶⁴, Q. Ouyang^1,59,64, S. Pacetti^29b,29c, X. Pan⁵⁶, Y. Pan⁵⁸, A. Pathak³⁵, P. Patteri^29a, Y. P. Pei^72,59, M. Pelizaeus³, H. P. Peng^72,59, Y. Y. Peng^39,j,k, K. Peters^13,d, J. L. Ping⁴², R. G. Ping^1,64, S. Plura³⁶, V. Prasad³⁴, F. Z. Qi¹, H. Qi^72,59, H. R. Qi⁶², M. Qi⁴³, T. Y. Qi^12,f, S. Qian^1,59, W. B. Qian⁶⁴, C. F. Qiao⁶⁴, X. K. Qiao⁸¹, J. J. Qin⁷³, L. Q. Qin¹⁴, L. Y. Qin^72,59, X. P. Qin^12,f, X. S. Qin⁵¹, Z. H. Qin^1,59, J. F. Qiu¹, Z. H. Qu⁷³, C. F. Redmer³⁶, K. J. Ren⁴⁰, A. Rivetti^75c, M. Rolo^75c, G. Rong^1,64, Ch. Rosner¹⁸, S. N. Ruan⁴⁴, N. Salone⁴⁵, A. Sarantsev^37,c, Y. Schelhaas³⁶, K. Schoenning⁷⁶, M. Scodeggio^30a, K. Y. Shan^12,f, W. Shan²⁵, X. Y. Shan^72,59, Z. J. Shang^39,j,k, J. F. Shangguan¹⁶, L. G. Shao^1,64, M. Shao^72,59, C. P. Shen^12,f, H. F. Shen^1,8, W. H. Shen⁶⁴, X. Y. Shen^1,64, B. A. Shi⁶⁴, H. Shi^72,59, H. C. Shi^72,59, J. L. Shi^12,f, J. Y. Shi¹, Q. Q. Shi⁵⁶, S. Y. Shi⁷³, X. Shi^1,59, J. J. Song¹⁹, T. Z. Song⁶⁰, W. M. Song^1,35, Y. J. Song^12,f, Y. X. Song^47,g,m, S. Sosio^75a,75c, S. Spataro^75a,75c, F. Stieler³⁶, Y. J. Su⁶⁴, G. B. Sun⁷⁷, G. X. Sun¹, H. Sun⁶⁴, H. K. Sun¹, J. F. Sun¹⁹, K. Sun⁶², L. Sun⁷⁷, S. S. Sun^1,64, T. Sun^52,e, W. Y. Sun³⁵, Y. Sun⁹, Y. J. Sun^72,59, Y. Z. Sun¹, Z. Q. Sun^1,64, Z. T. Sun⁵¹, C. J. Tang⁵⁵, G. Y. Tang¹, J. Tang⁶⁰, M. Tang^72,59, Y. A. Tang⁷⁷, L. Y. Tao⁷³, Q. T. Tao^26,h, M. Tat⁷⁰, J. X. Teng^72,59, V. Thoren⁷⁶, W. H. Tian⁶⁰, Y. Tian^32,64, Z. F. Tian⁷⁷, I. Uman^63b, Y. Wan⁵⁶, B. Wang¹, B. L. Wang⁶⁴, Bo Wang^72,59, D. Y. Wang^47,g, F. Wang⁷³, H. J. Wang^39,j,k, J. J. Wang⁷⁷, J. P. Wang⁵¹, K. Wang^1,59, L. L. Wang¹, M. Wang⁵¹, N. Y. Wang⁶⁴, S. Wang^39,j,k, S. Wang^12,f, S. J. Wang⁵¹, T. Wang^12,f, T. J. Wang⁴⁴, W. Wang⁶⁰, W. Wang⁷³, W. P. Wang^36,72,n, X. Wang^47,g, X. F. Wang^39,j,k, X. J. Wang⁴⁰, X. L. Wang^12,f, X. N. Wang¹, Y. Wang⁶², Y. D. Wang⁴⁶, Y. F. Wang^1,59,64, Y. L. Wang¹⁹, Y. N. Wang⁴⁶, Y. Q. Wang¹, Yaqian Wang¹⁷, Yi Wang⁶², Z. Wang^1,59, Z. L. Wang⁷³, Z. Y. Wang^1,64, Ziyi Wang⁶⁴, D. H. Wei¹⁴, F. Weidner⁶⁹, S. P. Wen¹, Y. R. Wen⁴⁰, U. Wiedner³, G. Wilkinson⁷⁰, M. Wolke⁷⁶, L. Wollenberg³, C. Wu⁴⁰, J. F. Wu^1,8, L. H. Wu¹, L. J. Wu^1,64, X. Wu^12,f, X. H. Wu³⁵, Y. Wu^72,59, Y. H. Wu⁵⁶, Y. J. Wu³², Z. Wu^1,59, L. Xia^72,59, X. M. Xian⁴⁰, B. H. Xiang^1,64, T. Xiang^47,g, D. Xiao^39,j,k, G. Y. Xiao⁴³, S. Y. Xiao¹, Y. L. Xiao^12,f, Z. J. Xiao⁴², C. Xie⁴³, X. H. Xie^47,g, Y. Xie⁵¹, Y. G. Xie^1,59, Y. H. Xie⁶, Z. P. Xie^72,59, T. Y. Xing^1,64, C. F. Xu^1,64, C. J. Xu⁶⁰, G. F. Xu¹, H. Y. Xu^2,67,o, M. Xu^72,59, Q. J. Xu¹⁶, Q. N. Xu³¹, W. Xu¹, W. L. Xu⁶⁷, X. P. Xu⁵⁶, Y. C. Xu⁷⁸, Z. P. Xu⁴³, Z. S. Xu⁶⁴, F. Yan^12,f, L. Yan^12,f, W. B. Yan^72,59, W. C. Yan⁸¹, X. Q. Yan¹, H. J. Yang^52,e, H. L. Yang³⁵, H. X. Yang¹, T. Yang¹, Y. Yang^12,f, Y. F. Yang⁴⁴, Y. F. Yang^1,64, Y. X. Yang^1,64, Z. W. Yang^39,j,k, Z. P. Yao⁵¹, M. Ye^1,59, M. H. Ye⁸, J. H. Yin¹, Z. Y. You⁶⁰, B. X. Yu^1,59,64, C. X. Yu⁴⁴, G. Yu^1,64, J. S. Yu^26,h, T. Yu⁷³, X. D. Yu^47,g, Y. C. Yu⁸¹, C. Z. Yuan^1,64, J. Yuan⁴⁶, J. Yuan³⁵, L. Yuan², S. C. Yuan^1,64, Y. Yuan^1,64, Z. Y. Yuan⁶⁰, C. X. Yue⁴⁰, A. A. Zafar⁷⁴, F. R. Zeng⁵¹, S. H. Zeng⁷³, X. Zeng^12,f, Y. Zeng^26,h, Y. J. Zeng^1,64, Y. J. Zeng⁶⁰, X. Y. Zhai³⁵, Y. C. Zhai⁵¹, Y. H. Zhan⁶⁰, A. Q. Zhang^1,64, B. L. Zhang^1,64, B. X. Zhang¹, D. H. Zhang⁴⁴, G. Y. Zhang¹⁹, H. Zhang⁸¹, H. Zhang^72,59, H. C. Zhang^1,59,64, H. H. Zhang⁶⁰, H. H. Zhang³⁵, H. Q. Zhang^1,59,64, H. R. Zhang^72,59, H. Y. Zhang^1,59, J. Zhang⁶⁰, J. Zhang⁸¹, J. J. Zhang⁵³, J. L. Zhang²⁰, J. Q. Zhang⁴², J. S. Zhang^12,f, J. W. Zhang^1,59,64, J. X. Zhang^39,j,k, J. Y. Zhang¹, J. Z. Zhang^1,64, Jianyu Zhang⁶⁴, L. M. Zhang⁶², Lei Zhang⁴³, P. Zhang^1,64, Q. Y. Zhang³⁵, R. Y. Zhang^39,j,k, S. H. Zhang^1,64, Shulei Zhang^26,h, X. D. Zhang⁴⁶, X. M. Zhang¹, X. Y. Zhang⁵¹, Y. Zhang¹, Y. Zhang⁷³, Y. H. Zhang^1,59, Y. M. Zhang⁴⁰, Y. T. Zhang⁸¹, Yan Zhang^72,59, Z. D. Zhang¹, Z. H. Zhang¹, Z. L. Zhang³⁵, Z. Y. Zhang⁷⁷, Z. Y. Zhang⁴⁴, Z. Z. Zhang⁴⁶, G. Zhao¹, J. Y. Zhao^1,64, J. Z. Zhao^1,59, L. Zhao¹, Lei Zhao^72,59, M. G. Zhao⁴⁴, N. Zhao⁷⁹, R. P. Zhao⁶⁴, S. J. Zhao⁸¹, Y. B. Zhao^1,59, Y. X. Zhao^32,64, Z. G. Zhao^72,59, A. Zhemchugov^37,a, B. Zheng⁷³, B. M. Zheng³⁵, J. P. Zheng^1,59, W. J. Zheng^1,64, Y. H. Zheng⁶⁴, B. Zhong⁴², X. Zhong⁶⁰, H. Zhou⁵¹, J. Y. Zhou³⁵, L. P. Zhou^1,64, S. Zhou⁶, X. Zhou⁷⁷, X. K. Zhou⁶, X. R. Zhou^72,59, X. Y. Zhou⁴⁰, Y. Z. Zhou^12,f, J. Zhu⁴⁴, K. Zhu¹, K. J. Zhu^1,59,64, K. S. Zhu^12,f, L. Zhu³⁵, L. X. Zhu⁶⁴, S. H. Zhu⁷¹, S. Q. Zhu⁴³, T. J. Zhu^12,f, W. D. Zhu⁴², Y. C. Zhu^72,59, Z. A. Zhu^1,64, J. H. Zou¹, and J. Zu^72,59 (BESIII Collaboration)

¹Institute of High Energy Physics, Beijing 100049, People’s Republic of China
²Beihang University, Beijing 100191, People’s Republic of China
³Bochum Ruhr-University, D-44780 Bochum, Germany
⁴Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk 630090, Russia
⁵Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
⁶Central China Normal University, Wuhan 430079, People’s Republic of China
⁷Central South University, Changsha 410083, People’s Republic of China
⁸China Center of Advanced Science and Technology, Beijing 100190, People’s Republic of China
⁹China University of Geosciences, Wuhan 430074, People’s Republic of China
^10aChung-Ang University, Seoul, 06974, Republic of Korea
^10bChung-Ang University, 84 Heukseok-ro, Dongjak-gu, Seoul, 06974, Republic of Korea
¹¹COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, 54000 Lahore, Pakistan
¹²Fudan University, Shanghai 200433, People’s Republic of China
¹³GSI Helmholtzcentre for Heavy Ion Research GmbH, D-64291 Darmstadt, Germany
¹⁴Guangxi Normal University, Guilin 541004, People’s Republic of China
¹⁵Guangxi University, Nanning 530004, People’s Republic of China
¹⁶Hangzhou Normal University, Hangzhou 310036, People’s Republic of China
¹⁷Hebei University, Baoding 071002, People’s Republic of China
¹⁸Helmholtz Institute Mainz, Staudinger Weg 18, D-55099 Mainz, Germany
¹⁹Henan Normal University, Xinxiang 453007, People’s Republic of China
²⁰Henan University, Kaifeng 475004, People’s Republic of China
²¹Henan University of Science and Technology, Luoyang 471003, People’s Republic of China
²²Henan University of Technology, Zhengzhou 450001, People’s Republic of China
²³Huangshan College, Huangshan 245000, People’s Republic of China
²⁴Hubei University of Automotive Technology, Shiyan 442002, People’s Republic of China
²⁵Hunan Normal University, Changsha 410081, People’s Republic of China
²⁶Hunan University, Changsha 410082, People’s Republic of China
²⁷Indian Institute of Technology Madras, Chennai 600036, India
²⁸Indiana University, Bloomington, Indiana 47405, USA
^29aINFN Laboratori Nazionali di Frascati, INFN Laboratori Nazionali di Frascati, I-00044, Frascati, Italy
^29bINFN Laboratori Nazionali di Frascati, INFN Sezione di Perugia, I-06100, Perugia, Italy
^29cINFN Laboratori Nazionali di Frascati, University of Perugia, I-06100, Perugia, Italy
^30aINFN Sezione di Ferrara, INFN Sezione di Ferrara, I-44122, Ferrara, Italy
^30bINFN Sezione di Ferrara, University of Ferrara, I-44122, Ferrara, Italy
³¹Inner Mongolia University, Hohhot 010021, People’s Republic of China
³²Institute of Modern Physics, Lanzhou 730000, People’s Republic of China
³³Institute of Physics and Technology, Peace Avenue 54B, Ulaanbaatar 13330, Mongolia
³⁴Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica 1000000, Chile
³⁵Jilin University, Changchun 130012, People’s Republic of China
³⁶Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany
³⁷Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia
³⁸Justus-Liebig-Universitaet Giessen, II. Physikalisches Institut, Heinrich-Buff-Ring 16, D-35392 Giessen, Germany
³⁹Lanzhou University, Lanzhou 730000, People’s Republic of China
⁴⁰Liaoning Normal University, Dalian 116029, People’s Republic of China
⁴¹Liaoning University, Shenyang 110036, People’s Republic of China
⁴²Nanjing Normal University, Nanjing 210023, People’s Republic of China
⁴³Nanjing University, Nanjing 210093, People’s Republic of China
⁴⁴Nankai University, Tianjin 300071, People’s Republic of China
⁴⁵National Centre for Nuclear Research, Warsaw 02-093, Poland
⁴⁶North China Electric Power University, Beijing 102206, People’s Republic of China
⁴⁷Peking University, Beijing 100871, People’s Republic of China
⁴⁸Qufu Normal University, Qufu 273165, People’s Republic of China
⁴⁹Renmin University of China, Beijing 100872, People’s Republic of China
⁵⁰Shandong Normal University, Jinan 250014, People’s Republic of China
⁵¹Shandong University, Jinan 250100, People’s Republic of China
⁵²Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China
⁵³Shanxi Normal University, Linfen 041004, People’s Republic of China
⁵⁴Shanxi University, Taiyuan 030006, People’s Republic of China
⁵⁵Sichuan University, Chengdu 610064, People’s Republic of China
⁵⁶Soochow University, Suzhou 215006, People’s Republic of China
⁵⁷South China Normal University, Guangzhou 510006, People’s Republic of China
⁵⁸Southeast University, Nanjing 211100, People’s Republic of China
⁵⁹State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People’s Republic of China
⁶⁰Sun Yat-Sen University, Guangzhou 510275, People’s Republic of China
⁶¹Suranaree University of Technology, University Avenue 111, Nakhon Ratchasima 30000, Thailand
⁶²Tsinghua University, Beijing 100084, People’s Republic of China
^63aTurkish Accelerator Center Particle Factory Group, Istinye University, 34010, Istanbul, Turkey
^63bTurkish Accelerator Center Particle Factory Group, Near East University, Nicosia, North Cyprus, 99138, Mersin 10, Turkey
⁶⁴University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
⁶⁵University of Groningen, NL-9747 AA Groningen, The Netherlands
⁶⁶University of Hawaii, Honolulu, Hawaii 96822, USA
⁶⁷University of Jinan, Jinan 250022, People’s Republic of China
⁶⁸University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
⁶⁹University of Muenster, Wilhelm-Klemm-Strasse 9, 48149 Muenster, Germany
⁷⁰University of Oxford, Keble Road, Oxford OX13RH, United Kingdom
⁷¹University of Science and Technology Liaoning, Anshan 114051, People’s Republic of China
⁷²University of Science and Technology of China, Hefei 230026, People’s Republic of China
⁷³University of South China, Hengyang 421001, People’s Republic of China
⁷⁴University of the Punjab, Lahore-54590, Pakistan
^75aUniversity of Turin and INFN, University of Turin, I-10125, Turin, Italy
^75bUniversity of Turin and INFN, University of Eastern Piedmont, I-15121, Alessandria, Italy
^75cUniversity of Turin and INFN, INFN, I-10125, Turin, Italy
⁷⁶Uppsala University, Box 516, SE-75120 Uppsala, Sweden
⁷⁷Wuhan University, Wuhan 430072, People’s Republic of China
⁷⁸Yantai University, Yantai 264005, People’s Republic of China
⁷⁹Yunnan University, Kunming 650500, People’s Republic of China
⁸⁰Zhejiang University, Hangzhou 310027, People’s Republic of China
⁸¹Zhengzhou University, Zhengzhou 450001, People’s Republic of China

^*Full author list given at the end of the article.
^†Deceased.
^aAlso at the Moscow Institute of Physics and Technology, Moscow 141700, Russia.
^bAlso at the Novosibirsk State University, Novosibirsk, 630090, Russia.
^cAlso at the NRC “Kurchatov Institute”, PNPI, 188300, Gatchina, Russia.
^dAlso at Goethe University Frankfurt, 60323 Frankfurt am Main, Germany.
^eAlso at Key Laboratory for Particle Physics, Astrophysics and Cosmology, Ministry of Education; Shanghai Key Laboratory for Particle Physics and Cosmology; Institute of Nuclear and Particle Physics, Shanghai 200240, People’s Republic of China.
^fAlso at Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Fudan University, Shanghai 200443, People’s Republic of China.
^gAlso at State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, People’s Republic of China.
^hAlso at School of Physics and Electronics, Hunan University, Changsha 410082, China.
ⁱAlso at Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China.
^jAlso at MOE Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, People’s Republic of China.
^kAlso at Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, People’s Republic of China.
^lAlso at the Department of Mathematical Sciences, IBA, Karachi 75270, Pakistan.
^mAlso at Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
ⁿAlso at Helmholtz Institute Mainz, Staudinger Weg 18, D-55099 Mainz, Germany.
^oAlso at School of Physics, Beihang University, Beijing 100191, China.
^pAlso at Hubei key laboratory of energy storage and power battery, Hubei University of Automotive Technology, Shiyan 442002, China.

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Phys. Rev. D 112, 092013 – Published 20 November, 2025

DOI: https://doi.org/10.1103/f94z-snbh

Abstract

Based on $12.0 {fb}^{- 1}$ of $e^{+} e^{-}$ collision data samples collected by the BESIII detector at center-of-mass energies from 4.1271 to 4.3583 GeV, a partial wave analysis is performed for the process $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ . The cross sections for the subprocesses $e^{+} e^{-} \to π^{+} Z_{c} (3900)^{-} + c . c . \to π^{+} π^{-} J / ψ$ , $f_{0} (980) (\to π^{+} π^{-}) J / ψ$ , and $(π^{+} π^{-})_{S − wave} J / ψ$ are measured for the first time. The mass and width of the $Z_{c} (3900)^{\pm}$ are determined to be $3884.6 \pm 0.7 \pm 3.3 MeV / c^{2}$ and $37.2 \pm 1.3 \pm 6.6 MeV$ , respectively. The first errors are statistical and the second systematic. The final state $(π^{+} π^{-})_{S − wave} J / ψ$ dominates the process $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ . By analyzing the cross sections of $π^{\pm} Z_{c} (3900)^{\mp}$ and $f_{0} (980) J / ψ$ , $Y (4220)$ has been observed. Its mass and width are determined to be $4225.7 \pm 4.1 \pm 3.4 MeV / c^{2}$ and $57.5 \pm 9.4 \pm 12.1 MeV$ , respectively.

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Phys. Rev. D 112, 092013– Published 20 November, 2025

Vol. 112, Iss. 9 — 1 November 2025

Received 21 May 2025
Accepted 22 October 2025

DOI: https://doi.org/10.1103/f94z-snbh

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Partial wave analysis of $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ and cross section measurement of $e^{+} e^{-} \to π^{\pm} Z_{c} (3900)^{\mp}$ from 4.1271 to 4.3583 GeV

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Partial wave analysis of e+e−→π+π−J/ψ and cross section measurement of e+e−→π±Zc(3900)∓ from 4.1271 to 4.3583 GeV

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Partial wave analysis of $e^{+} e^{-} \to π^{+} π^{-} J / ψ$ and cross section measurement of $e^{+} e^{-} \to π^{\pm} Z_{c} (3900)^{\mp}$ from 4.1271 to 4.3583 GeV