https://doi.org/10.1140/epjc/s10052-020-08447-0
Regular Article - Experimental Physics
Measurement of the absolute branching fraction of the inclusive decay 
(BESIII Collaboration)
1
Institute of High Energy Physics, 100049, Beijing, People’s Republic of China
2
Beihang University, 100191, Beijing, People’s Republic of China
3
Beijing Institute of Petrochemical Technology, 102617, Beijing, People’s Republic of China
4
Bochum Ruhr-University, 44780, Bochum, Germany
5
Carnegie Mellon University, 15213, Pittsburgh, PA, USA
6
Central China Normal University, 430079, Wuhan, People’s Republic of China
7
China Center of Advanced Science and Technology, 100190, Beijing, People’s Republic of China
8
COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, 54000, Lahore, Pakistan
9
Fudan University, 200443, Shanghai, People’s Republic of China
10
G.I. Budker Institute of Nuclear Physics SB RAS (BINP), 630090, Novosibirsk, Russia
11
GSI Helmholtz Centre for Heavy Ion Research GmbH, 64291, Darmstadt, Germany
12
Guangxi Normal University, 541004, Guilin, People’s Republic of China
13
Guangxi University, 530004, Nanning, People’s Republic of China
14
Hangzhou Normal University, 310036, Hangzhou, People’s Republic of China
15
Helmholtz Institute Mainz, Johann-Joachim-Becher-Weg 45, 55099, Mainz, Germany
16
Henan Normal University, 453007, Xinxiang, People’s Republic of China
17
Henan University of Science and Technology, 471003, Luoyang, People’s Republic of China
18
Huangshan College, 245000, Huangshan, People’s Republic of China
19
Hunan Normal University, 410081, Changsha, People’s Republic of China
20
Hunan University, 410082, Changsha, People’s Republic of China
21
Indian Institute of Technology Madras, 600036, Chennai, India
22
Indiana University, 47405, Bloomington, IN, USA
23
INFN Laboratori Nazionali di Frascati, 00044 Frascati, Italy; INFN and University of Perugia, 06100, Perugia, Italy
24
INFN Sezione di Ferrara, 44122 Ferrara, Italy; University of Ferrara, 44122, Ferrara, Italy
25
Institute of Modern Physics, 730000, Lanzhou, People’s Republic of China
26
Institute of Physics and Technology, Peace Ave. 54B, 13330, Ulaanbaatar, Mongolia
27
Jilin University, 130012, Changchun, People’s Republic of China
28
Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, 55099, Mainz, Germany
29
Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia
30
Justus-Liebig-Universitaet Giessen, II. Physikalisches Institut, Heinrich-Buff-Ring 16, 35392, Giessen, Germany
31
KVI-CART, University of Groningen, 9747 AA, Groningen, The Netherlands
32
Lanzhou University, 730000, Lanzhou, People’s Republic of China
33
Liaoning Normal University, 116029, Dalian, People’s Republic of China
34
Liaoning University, 110036, Shenyang, People’s Republic of China
35
Nanjing Normal University, 210023, Nanjing, People’s Republic of China
36
Nanjing University, 210093, Nanjing, People’s Republic of China
37
Nankai University, 300071, Tianjin, People’s Republic of China
38
Peking University, 100871, Beijing, People’s Republic of China
39
Qufu Normal University, 273165, Qufu, People’s Republic of China
40
Shandong Normal University, 250014, Jinan, People’s Republic of China
41
Shandong University, 250100, Jinan, People’s Republic of China
42
Shanghai Jiao Tong University, 200240, Shanghai, People’s Republic of China
43
Shanxi Normal University, 041004, Linfen, People’s Republic of China
44
Shanxi University, 030006, Taiyuan, People’s Republic of China
45
Sichuan University, 610064, Chengdu, People’s Republic of China
46
Soochow University, 215006, Suzhou, People’s Republic of China
47
Southeast University, 211100, Nanjing, People’s Republic of China
48
State Key Laboratory of Particle Detection and Electronics, Beijing 100049, 230026, Hefei, People’s Republic of China
49
Sun Yat-Sen University, 510275, Guangzhou, People’s Republic of China
50
Tsinghua University, 100084, Beijing, People’s Republic of China
51
Ankara University, Tandogan, 06100 Ankara, Turkey; Istanbul Bilgi University, 34060 Eyup, Istanbul, Turkey; Uludag University, 16059 Bursa, Turkey; Near East University, Mersin 10, Nicosia, North Cyprus, Turkey
52
University of Chinese Academy of Sciences, 100049, Beijing, People’s Republic of China
53
University of Hawaii, 96822, Honolulu, HI, USA
54
University of Jinan, 250022, Jinan, People’s Republic of China
55
University of Manchester, Oxford Road, M13 9PL, Manchester, UK
56
University of Minnesota, 55455, Minneapolis, MN, USA
57
University of Muenster, Wilhelm-Klemm-Str. 9, 48149, Münster, Germany
58
University of Oxford, Keble Rd, OX13RH, Oxford, UK
59
University of Science and Technology Liaoning, 114051, Anshan, People’s Republic of China
60
University of Science and Technology of China, 230026, Hefei, People’s Republic of China
61
University of South China, 421001, Hengyang, People’s Republic of China
62
University of the Punjab, 54590, Lahore, Pakistan
63
University of Turin, 10125 Turin, Italy; University of Eastern Piedmont, 15121 Alessandria, Italy; INFN, 10125, Turin, Italy
64
Uppsala University, Box 516, 75120, Uppsala, Sweden
65
Wuhan University, 430072, Wuhan, People’s Republic of China
66
Xinyang Normal University, 464000, Xinyang, People’s Republic of China
67
Zhejiang University, 310027, Hangzhou, People’s Republic of China
68
Zhengzhou University, 450001, Zhengzhou, People’s Republic of China
Received:
22
May
2020
Accepted:
8
September
2020
Published online:
10
October
2020
We report the first measurement of the absolute branching fraction of the inclusive decay . The analysis is performed using an 
collision data sample corresponding to an integrated luminosity of 567 
taken at 
= 4.6 GeV with the BESIII detector. Using eleven Cabibbo-favored 
decay modes and the double-tag technique, this absolute branching fraction is measured to be 
, where the first uncertainty is statistical and the second systematic. The relative deviation between the branching fractions for the inclusive decay and the observed exclusive decays is 
, which indicates that there may be some unobserved decay modes with a neutron or excited baryons in the final state.
© The Author(s) 2020
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