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Abstract
Using e+e− collision data collected at the BESIII detector at center-of-mass energies between 4.128 and 4.226 GeV, corresponding to an integrated luminosity of 7.33 fb−1, we determine the absolute branching fractions of fifteen hadronic
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1 Institute of High Energy Physics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097)
2 Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk, Russia (GRID:grid.418495.5) (ISNI:0000 0001 0790 5468); Novosibirsk State University, Novosibirsk, Russia (GRID:grid.4605.7) (ISNI:0000 0001 2189 6553)
3 Uppsala University, Uppsala, Sweden (GRID:grid.8993.b) (ISNI:0000 0004 1936 9457)
4 Bochum Ruhr-University, Bochum, Germany (GRID:grid.5570.7) (ISNI:0000 0004 0490 981X)
5 Zhengzhou University, Zhengzhou, People’s Republic of China (GRID:grid.207374.5) (ISNI:0000 0001 2189 3846)
6 Johannes Gutenberg University of Mainz, Mainz, Germany (GRID:grid.5802.f) (ISNI:0000 0001 1941 7111)
7 University of Turin, Turin, Italy (GRID:grid.7605.4) (ISNI:0000 0001 2336 6580); INFN, Turin, Italy (GRID:grid.470222.1) (ISNI:0000 0004 7471 9712)
8 University of Science and Technology of China, Hefei, People’s Republic of China (GRID:grid.59053.3a) (ISNI:0000 0001 2167 9639); State Key Laboratory of Particle Detection and Electronics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097)
9 Southeast University, Nanjing, People’s Republic of China (GRID:grid.263826.b) (ISNI:0000 0004 1761 0489)
10 Joint Institute for Nuclear Research, Dubna, Russia (GRID:grid.33762.33) (ISNI:0000 0004 0620 4119)
11 INFN Sezione di Ferrara, Ferrara, Italy (GRID:grid.470200.1) (ISNI:0000 0004 1765 4414)
12 Peking University, Beijing, People’s Republic of China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319); Peking University, State Key Laboratory of Nuclear Physics and Technology, Beijing, People’s Republic of China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319)
13 University of Chinese Academy of Sciences, Beijing, People’s Republic of China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419)
14 Institute of High Energy Physics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097); National Centre for Nuclear Research, Warsaw, Poland (GRID:grid.450295.f) (ISNI:0000 0001 0941 0848)
15 Institute of Physics and Technology, Ulaanbaatar, Mongolia (GRID:grid.450277.3)
16 National Centre for Nuclear Research, Warsaw, Poland (GRID:grid.450295.f) (ISNI:0000 0001 0941 0848)
17 INFN Laboratori Nazionali di Frascati, Frascati, Italy (GRID:grid.463190.9) (ISNI:0000 0004 0648 0236)
18 Carnegie Mellon University, Pittsburgh, USA (GRID:grid.147455.6) (ISNI:0000 0001 2097 0344)
19 University of Muenster, Muenster, Germany (GRID:grid.5949.1) (ISNI:0000 0001 2172 9288)
20 Wuhan University, Wuhan, People’s Republic of China (GRID:grid.49470.3e) (ISNI:0000 0001 2331 6153)
21 Institute of High Energy Physics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097); State Key Laboratory of Particle Detection and Electronics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097)
22 Institute of High Energy Physics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097); University of Chinese Academy of Sciences, Beijing, People’s Republic of China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419)
23 Turkish Accelerator Center Particle Factory Group, Istinye University, Istanbul, Turkey (GRID:grid.508740.e) (ISNI:0000 0004 5936 1556)
24 Nankai University, Tianjin, People’s Republic of China (GRID:grid.216938.7) (ISNI:0000 0000 9878 7032)
25 Joint Institute for Nuclear Research, Dubna, Russia (GRID:grid.33762.33) (ISNI:0000 0004 0620 4119); Moscow Institute of Physics and Technology, Moscow, Russia (GRID:grid.18763.3b) (ISNI:0000 0000 9272 1542)
26 China University of Geosciences, Wuhan, People’s Republic of China (GRID:grid.503241.1) (ISNI:0000 0004 1760 9015)
27 Soochow University, Suzhou, People’s Republic of China (GRID:grid.263761.7) (ISNI:0000 0001 0198 0694)
28 Henan University, Kaifeng, People’s Republic of China (GRID:grid.256922.8) (ISNI:0000 0000 9139 560X)
29 Institute of High Energy Physics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097); State Key Laboratory of Particle Detection and Electronics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097); University of Chinese Academy of Sciences, Beijing, People’s Republic of China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419)
30 Nanjing University, Nanjing, People’s Republic of China (GRID:grid.41156.37) (ISNI:0000 0001 2314 964X)
31 North China Electric Power University, Beijing, People’s Republic of China (GRID:grid.261049.8) (ISNI:0000 0004 0645 4572)
32 Tsinghua University, Beijing, People’s Republic of China (GRID:grid.12527.33) (ISNI:0000 0001 0662 3178)
33 Institute of Modern Physics, Lanzhou, People’s Republic of China (GRID:grid.450259.f) (ISNI:0000 0004 1804 2516); University of Chinese Academy of Sciences, Beijing, People’s Republic of China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419)
34 Jilin University, Changchun, People’s Republic of China (GRID:grid.64924.3d) (ISNI:0000 0004 1760 5735)
35 Hunan University, Changsha, People’s Republic of China (GRID:grid.67293.39); Hunan University, School of Physics and Electronics, Changsha, China (GRID:grid.67293.39)
36 Chung-Ang University, Seoul, Republic of Korea (GRID:grid.254224.7) (ISNI:0000 0001 0789 9563)
37 INFN, Turin, Italy (GRID:grid.470222.1) (ISNI:0000 0004 7471 9712)
38 Shandong University, Jinan, People’s Republic of China (GRID:grid.27255.37) (ISNI:0000 0004 1761 1174)
39 Yunnan University, Kunming, People’s Republic of China (GRID:grid.440773.3) (ISNI:0000 0000 9342 2456)
40 Helmholtz Institute Mainz, Mainz, Germany (GRID:grid.461898.a)
41 University of South China, Hengyang, People’s Republic of China (GRID:grid.412017.1) (ISNI:0000 0001 0266 8918)
42 University of Jinan, Jinan, People’s Republic of China (GRID:grid.454761.5) (ISNI:0000 0004 1759 9355); Institute of High Energy Physics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097)
43 Sun Yat-Sen University, Guangzhou, People’s Republic of China (GRID:grid.12981.33) (ISNI:0000 0001 2360 039X)
44 University of Eastern Piedmont, Alessandria, Italy (GRID:grid.16563.37) (ISNI:0000 0001 2166 3741); INFN, Turin, Italy (GRID:grid.470222.1) (ISNI:0000 0004 7471 9712)
45 Nanjing Normal University, Nanjing, People’s Republic of China (GRID:grid.260474.3) (ISNI:0000 0001 0089 5711)
46 INFN Sezione di Ferrara, Ferrara, Italy (GRID:grid.470200.1) (ISNI:0000 0004 1765 4414); University of Ferrara, Ferrara, Italy (GRID:grid.8484.0) (ISNI:0000 0004 1757 2064)
47 University of Manchester, Manchester, United Kingdom (GRID:grid.5379.8) (ISNI:0000 0001 2166 2407)
48 University of Oxford, Oxford, United Kingdom (GRID:grid.4991.5) (ISNI:0000 0004 1936 8948)
49 GSI Helmholtzcentre for Heavy Ion Research GmbH, Darmstadt, Germany (GRID:grid.159791.2) (ISNI:0000 0000 9127 4365)
50 Liaoning University, Shenyang, People’s Republic of China (GRID:grid.411356.4) (ISNI:0000 0000 9339 3042)
51 Guangxi University, Nanning, People’s Republic of China (GRID:grid.256609.e) (ISNI:0000 0001 2254 5798)
52 Henan University of Technology, Zhengzhou, People’s Republic of China (GRID:grid.412099.7) (ISNI:0000 0001 0703 7066)
53 Shandong Normal University, Jinan, People’s Republic of China (GRID:grid.410585.d) (ISNI:0000 0001 0495 1805)
54 Fudan University, Shanghai, People’s Republic of China (GRID:grid.8547.e) (ISNI:0000 0001 0125 2443); Fudan University, Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Shanghai, People’s Republic of China (GRID:grid.8547.e) (ISNI:0000 0001 0125 2443)
55 Indiana University, Bloomington, USA (GRID:grid.257410.5) (ISNI:0000 0004 0413 3089)
56 Henan Normal University, Xinxiang, People’s Republic of China (GRID:grid.462338.8) (ISNI:0000 0004 0605 6769)
57 University of Hawaii, Honolulu, USA (GRID:grid.162346.4) (ISNI:0000 0001 1482 1895)
58 Suranaree University of Technology, Nakhon Ratchasima, Thailand (GRID:grid.6357.7) (ISNI:0000 0001 0739 3220)
59 South China Normal University, Guangzhou, People’s Republic of China (GRID:grid.263785.d) (ISNI:0000 0004 0368 7397); South China Normal University, Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, Guangzhou, China (GRID:grid.263785.d) (ISNI:0000 0004 0368 7397)
60 University of the Punjab, Lahore, Pakistan (GRID:grid.11173.35) (ISNI:0000 0001 0670 519X)
61 Indiana University, Bloomington, USA (GRID:grid.257410.5) (ISNI:0000 0004 0413 3089); Johannes Gutenberg University of Mainz, Mainz, Germany (GRID:grid.5802.f) (ISNI:0000 0001 1941 7111)
62 Liaoning Normal University, Dalian, People’s Republic of China (GRID:grid.440818.1) (ISNI:0000 0000 8664 1765)
63 Hangzhou Normal University, Hangzhou, People’s Republic of China (GRID:grid.410595.c) (ISNI:0000 0001 2230 9154)
64 Huangshan College, Huangshan, People’s Republic of China (GRID:grid.440766.7) (ISNI:0000 0004 1756 0119)
65 University of Jinan, Jinan, People’s Republic of China (GRID:grid.454761.5) (ISNI:0000 0004 1759 9355)
66 Universidad de Tarapacá, Instituto de Alta Investigación, Arica, Chile (GRID:grid.412182.c) (ISNI:0000 0001 2179 0636)
67 University of Groningen, Groningen, The Netherlands (GRID:grid.4830.f) (ISNI:0000 0004 0407 1981)
68 Indian Institute of Technology Madras, Chennai, India (GRID:grid.417969.4) (ISNI:0000 0001 2315 1926)
69 National Centre for Nuclear Research, Warsaw, Poland (GRID:grid.450295.f) (ISNI:0000 0001 0941 0848); Uppsala University, Uppsala, Sweden (GRID:grid.8993.b) (ISNI:0000 0004 1936 9457)
70 Justus-Liebig-Universitaet Giessen, II. Physikalisches Institut, Giessen, Germany (GRID:grid.8664.c) (ISNI:0000 0001 2165 8627)
71 Renmin University of China, Beijing, People’s Republic of China (GRID:grid.24539.39) (ISNI:0000 0004 0368 8103)
72 Lanzhou University, Lanzhou, People’s Republic of China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482); Lanzhou University, Lanzhou Center for Theoretical Physics, Lanzhou, People’s Republic of China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482)
73 Hebei University, Baoding, People’s Republic of China (GRID:grid.256885.4) (ISNI:0000 0004 1791 4722); Institute of Modern Physics, Lanzhou, People’s Republic of China (GRID:grid.450259.f) (ISNI:0000 0004 1804 2516)
74 Fudan University, Shanghai, People’s Republic of China (GRID:grid.8547.e) (ISNI:0000 0001 0125 2443)
75 Sichuan University, Chengdu, People’s Republic of China (GRID:grid.13291.38) (ISNI:0000 0001 0807 1581)
76 Guangxi Normal University, Guilin, People’s Republic of China (GRID:grid.459584.1) (ISNI:0000 0001 2196 0260)
77 Shanxi University, Taiyuan, People’s Republic of China (GRID:grid.163032.5) (ISNI:0000 0004 1760 2008)
78 Central China Normal University, Wuhan, People’s Republic of China (GRID:grid.411407.7) (ISNI:0000 0004 1760 2614)
79 Lanzhou University, Lanzhou, People’s Republic of China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482); Lanzhou University, MOE Frontiers Science Center for Rare Isotopes, Lanzhou, People’s Republic of China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482); Lanzhou University, Lanzhou Center for Theoretical Physics, Lanzhou, People’s Republic of China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482)
80 Henan University of Science and Technology, Luoyang, People’s Republic of China (GRID:grid.453074.1) (ISNI:0000 0000 9797 0900)
81 Central South University, Changsha, People’s Republic of China (GRID:grid.216417.7) (ISNI:0000 0001 0379 7164)
82 Zhejiang University, Hangzhou, People’s Republic of China (GRID:grid.13402.34) (ISNI:0000 0004 1759 700X)
83 Institute of Modern Physics, Lanzhou, People’s Republic of China (GRID:grid.450259.f) (ISNI:0000 0004 1804 2516)
84 GSI Helmholtzcentre for Heavy Ion Research GmbH, Darmstadt, Germany (GRID:grid.159791.2) (ISNI:0000 0000 9127 4365); University of Groningen, Groningen, The Netherlands (GRID:grid.4830.f) (ISNI:0000 0004 0407 1981)
85 Helmholtz Institute Mainz, Mainz, Germany (GRID:grid.461898.a); Goethe University Frankfurt, Frankfurt am Main, Germany (GRID:grid.7839.5) (ISNI:0000 0004 1936 9721)
86 COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan (GRID:grid.418920.6) (ISNI:0000 0004 0607 0704); IBA, Department of Mathematical Sciences, Karachi, Pakistan (GRID:grid.444854.d) (ISNI:0000 0000 9940 0522)
87 INFN Sezione di Perugia, Perugia, Italy (GRID:grid.470215.5); University of Perugia, Perugia, Italy (GRID:grid.9027.c) (ISNI:0000 0004 1757 3630)
88 GSI Helmholtzcentre for Heavy Ion Research GmbH, Darmstadt, Germany (GRID:grid.159791.2) (ISNI:0000 0000 9127 4365); Goethe University Frankfurt, Frankfurt am Main, Germany (GRID:grid.7839.5) (ISNI:0000 0004 1936 9721)
89 Joint Institute for Nuclear Research, Dubna, Russia (GRID:grid.33762.33) (ISNI:0000 0004 0620 4119); NRC “Kurchatov Institute”, PNPI, Gatchina, Russia (GRID:grid.18919.38) (ISNI:0000 0004 0620 4151)
90 Hunan Normal University, Changsha, People’s Republic of China (GRID:grid.411427.5) (ISNI:0000 0001 0089 3695)
91 Institute of High Energy Physics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097); China Center of Advanced Science and Technology, Beijing, People’s Republic of China (GRID:grid.464262.0) (ISNI:0000 0001 0318 1175)
92 Jilin University, Changchun, People’s Republic of China (GRID:grid.64924.3d) (ISNI:0000 0004 1760 5735); Institute of High Energy Physics, Beijing, People’s Republic of China (GRID:grid.418741.f) (ISNI:0000 0004 0632 3097)
93 Peking University, Beijing, People’s Republic of China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319); Peking University, State Key Laboratory of Nuclear Physics and Technology, Beijing, People’s Republic of China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319); Ecole Polytechnique Federale de Lausanne (EPFL), Lausanne, Switzerland (GRID:grid.5333.6) (ISNI:0000 0001 2183 9049)
94 Shanghai Jiao Tong University, Shanghai, People’s Republic of China (GRID:grid.16821.3c) (ISNI:0000 0004 0368 8293); 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, People’s Republic of China (GRID:grid.16821.3c) (ISNI:0000 0004 0368 8293)
95 Near East University, Nicosia, North Cyprus, Mersin 10, Turkey (GRID:grid.412132.7) (ISNI:0000 0004 0596 0713)
96 Helmholtz Institute Mainz, Mainz, Germany (GRID:grid.461898.a); Johannes Gutenberg University of Mainz, Mainz, Germany (GRID:grid.5802.f) (ISNI:0000 0001 1941 7111); University of Science and Technology of China, Hefei, People’s Republic of China (GRID:grid.59053.3a) (ISNI:0000 0001 2167 9639)
97 Hebei University, Baoding, People’s Republic of China (GRID:grid.256885.4) (ISNI:0000 0004 1791 4722)
98 Inner Mongolia University, Hohhot, People’s Republic of China (GRID:grid.411643.5) (ISNI:0000 0004 1761 0411)
99 Yantai University, Yantai, People’s Republic of China (GRID:grid.440761.0) (ISNI:0000 0000 9030 0162)
100 China Center of Advanced Science and Technology, Beijing, People’s Republic of China (GRID:grid.464262.0) (ISNI:0000 0001 0318 1175)
101 Beihang University, Beijing, People’s Republic of China (GRID:grid.64939.31) (ISNI:0000 0000 9999 1211)
102 Shanxi Normal University, Linfen, People’s Republic of China (GRID:grid.510766.3) (ISNI:0000 0004 1790 0400)
103 University of Science and Technology Liaoning, Anshan, People’s Republic of China (GRID:grid.453697.a) (ISNI:0000 0001 2254 3960)