Abstract
The singly Cabibbo-suppressed decay \( {D}_s^{+} \) → K+π+π−π0 is observed by using a data set corresponding to an integrated luminosity of 6.32 fb−1 recorded by the BESIII detector at the centre-of-mass energies between 4.178 and 4.226 GeV. The first amplitude analysis of \( {D}_s^{+} \) → K+π+π−π0 reveals the sub-structures in this decay and determines the fractions and relative phases of different intermediate processes. The dominant intermediate process is \( {D}_s^{+} \) → K*0ρ+, with a fit fraction of (40.5 ± 2.8stat. ± 1.5syst.)%. With the detection efficiency based on our amplitude analysis, the absolute branching fraction for \( {D}_s^{+} \) → K+π+π−π0 is measured to be (9.75 ± 0.54stat. ± 0.17syst.) × 10−3.
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Amplitude analysis and branching fraction measurement of \( {D}_s^{+} \) → K−K+π+π+π−
Amplitude analysis and branching fraction measurement of the decay D+ → \( {\textrm{K}}_{\textrm{S}}^0 \)π+π0π0
Amplitude analysis and branching-fraction measurement of \( {D}_s^{+}\to {K}_S^0{\pi}^{+}{\pi}^0 \)
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Authors and Affiliations
Institute of High Energy Physics, Beijing, 100049, People’s Republic of China
M. Ablikim, V. Batozskaya, X. Cai, G. F. Cao, N. Cao, J. F. Chang, W. L. Chang, G. Chen, H. S. Chen, M. L. Chen, T. Chen, X. T. Chen, Y. B. Chen, H. L. Dai, Z. Y. Deng, J. Dong, L. Y. Dong, M. Y. Dong, J. Fang, S. S. Fang, W. X. Fang, Y. Fang, C. D. Fu, W. X. Gong, M. H. Gu, C. Y Guan, K. L. He, Y. K. Heng, G. Y. Hou, Z. L. Hou, H. M. Hu, T. Hu, Y. Hu, Y. P. Huang, Q. Ji, X. B. Ji, X. L. Ji, X. S. Jiang, M. Q. Jing, R. Kiuchi, F. Li, G. Li, H. B. Li, Ke Li, L. J Li, L. K. Li, W. D. Li, W. G. Li, Xiaoyu Li, H. Liang, T. Lin, B. J. Liu, C. X. Liu, Fang Liu, H. M. Liu, Huanhuan Liu, J. Y. Liu, K. Liu, P. L. Liu, Z. A. Liu, X. C. Lou, J. G. Lu, X. L. Lu, Y. P. Lu, Z. H. Lu, X. L. Luo, H. L. Ma, M. M. Ma, Q. M. Ma, R. Q. Ma, X. Y. Ma, Z. P. Mao, H. Miao, X. H. Mo, Z. Ning, Q. Ouyang, R. G. Ping, F. Z. Qi, S. Qian, Z. H. Qin, J. F. Qiu, G. Rong, L. G. Shao, H. F. Shen, X. Y. Shen, J. Y. Shi, R. S. Shi, X. Shi, W. M. Song, G. X. Sun, H. K. Sun, S. S. Sun, T. Sun, Y. Z. Sun, G. Y. Tang, B. Wang, H. P. Wang, K. Wang, L. L. Wang, Meng Wang, Y. F. Wang, Y. Q. Wang, Yaqian Wang, Z. Wang, Z. Y. Wang, S. P. Wen, J. F. Wu, L. H. Wu, L. J. Wu, Z. Wu, S. Y. Xiao, Y. G. Xie, T. Y. Xing, C. F. Xu, G. F. Xu, H. X. Yang, Tao Yang, Y. X. Yang, Yifan Yang, M. Ye, J. H. Yin, B. X. Yu, G. Yu, C. Z. Yuan, S. C. Yuan, X. Q. Yuan, Y. Yuan, A. Q. Zhang, B. L. Zhang, B. X. Zhang, H. Y. Zhang, J. W. Zhang, J. Y. Zhang, J. Z. Zhang, Jianyu Zhang, Jiawei Zhang, P. Zhang, Shuihan Zhang, X. M. Zhang, Y. H. Zhang, Yao Zhang, Z. H. Zhang, G. Zhao, J. Y. Zhao, J. Z. Zhao, Ling Zhao, Q. Zhao, Y. B. Zhao, J. P. Zheng, L. P. Zhou, K. Zhu, K. J. Zhu, Z. A. Zhu, B. S. Zou & J. H. Zou
Beihang University, Beijing, 100191, People’s Republic of China
L. Yuan
Beijing Institute of Petrochemical Technology, Beijing, 102617, People’s Republic of China
Lei Li
Bochum Ruhr-University, D-44780, Bochum, Germany
M. Albrecht, R. E. de Boer, F. Feldbauer, M. Fritsch, F. H. Heinsius, S. Jaeger, I. K. Keshk, B. Kopf, M. Kuemmel, M. Kuessner, J. Q. Li, S. Maldaner, M. Pelizaeus, C. Schnier, U. Wiedner & L. Wollenberg
Carnegie Mellon University, Pittsburgh, Pennsylvania, 15213, USA
R. A. Briere
Central China Normal University, Wuhan, 430079, People’s Republic of China
Feng Liu, Y. H. Xie & X. Zeng
Central South University, Changsha, 410083, People’s Republic of China
Y. Lu
China Center of Advanced Science and Technology, Beijing, 100190, People’s Republic of China
M. H. Ye
COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, Lahore, 54000, Pakistan
S. Nisar
Fudan University, Shanghai, 200433, People’s Republic of China
Y. P. Guo, S. X. Li, M. H. Liu, T. Liu, T. Luo, X. Pan, T. Y. Qi, X. P. Qin, K. Y. Shan, C. P. Shen, S. Wang, T. Wang, X. L. Wang, X. Wu, H. Xiao, Y. L. Xiao, F. Yan, L. Yan, Y. Z. Zhou & W. J. Zhu
G.I. Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk, 630090, Russia
M. N. Achasov, N. Yu. Muchnoi & I. B. Nikolaev
GSI Helmholtzcentre for Heavy Ion Research GmbH, D-64291, Darmstadt, Germany
K. Goetzen, M. Himmelreich, R. Kliemt, J. G. Messchendorp & K. Peters
Guangxi Normal University, Guilin, 541004, People’s Republic of China
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Hangzhou Normal University, Hangzhou, 310036, People’s Republic of China
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Hebei University, Baoding, 071002, People’s Republic of China
Yaqian Wang
Helmholtz Institute Mainz, Staudinger Weg 18, D-55099, Mainz, Germany
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Henan Normal University, Xinxiang, 453007, People’s Republic of China
X. Q. Hao, Q. P. Ji, H. J. Li, J. J. Song, J. F. Sun & G. Y. Zhang
Henan University of Science and Technology, Luoyang, 471003, People’s Republic of China
Huihui Liu
Henan University of Technology, Zhengzhou, 450001, People’s Republic of China
Ke Liu
Huangshan College, Huangshan, 245000, People’s Republic of China
Z. Jiao & H. J. Lu
Hunan Normal University, Changsha, 410081, People’s Republic of China
W. Shan
Hunan University, Changsha, 410082, People’s Republic of China
Z. J. Chen, X. Sun, Q. T. Tao, Y. Zeng & Shulei Zhang
Indian Institute of Technology Madras, Chennai, 600036, India
A. Lavania & J. Libby
Indiana University, Bloomington, Indiana, 47405, USA
N. Hüsken, W. Imoehl, J. Jackson & R. E. Mitchell
INFN Laboratori Nazionali di Frascati, I-00044, Frascati, Italy
R. Baldini Ferroli, M. Bertani, A. Calcaterra & G. Felici
INFN Sezione di Perugia, I-06100, Perugia, Italy
A. Mangoni & S. Pacetti
University of Perugia, I-06100, Perugia, Italy
S. Pacetti
INFN Sezione di Ferrara, I-44122, Ferrara, Italy
I. Balossino, D. Bettoni, G. Cibinetto, R. Farinelli, I. Garzia, G. Mezzadri & M. Scodeggio
University of Ferrara, I-44122, Ferrara, Italy
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Institute of Modern Physics, Lanzhou, 730000, People’s Republic of China
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Institute of Physics and Technology, Peace Avenue 54B, Ulaanbaatar, 13330, Mongolia
K. Begzsuren & S. Janchiv
Jilin University, Changchun, 130012, People’s Republic of China
H. Liang, A. Pathak, W. M. Song, W. Y. Sun, X. H. Wu, H. L. Yang & H. H. Zhang
Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, D-55099, Mainz, Germany
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Joint Institute for Nuclear Research, 141980, Dubna, Moscow region, Russia
O. Bakina, I. Boyko, G. Chelkov, D. Dedovich, I. Denysenko, P. Egorov, A. Guskov, Y. Nefedov, S. Pogodin, A. Sarantsev & A. Zhemchugov
Justus-Liebig-Universitaet Giessen, II. Physikalisches Institut, Heinrich-Buff-Ring 16, D-35392, Giessen, Germany
L. Koch, W. Kühn & J. S. Lange
Lanzhou University, Lanzhou, 730000, People’s Republic of China
P. R. Li, H. Liu, X. Liu, Y. Liu, H. J. Wang, X. F. Wang, D. Xiao & J. X. Zhang
Liaoning Normal University, Dalian, 116029, People’s Republic of China
M. R. An, W. Y. Han, S. S. Jiang, C. H. Li, K. J. Ren, C. X. Yue, Q. Y. Zhang, J. Zhao & X. Y. Zhou
Liaoning University, Shenyang, 110036, People’s Republic of China
Y. Ding, L. Gong, X. S. Kang, K. Y. Liu & F. C. Ma
Nanjing Normal University, Nanjing, 210023, People’s Republic of China
L. B. Guo, C. L. Luo, J. L. Ping, Z. J. Xiao, J. Q. Zhang & B. Zhong
Nanjing University, Nanjing, 210093, People’s Republic of China
S. J. Chen, Z. W. Ge, L. M. Gu, S. Jin, T. J. Min, M. Qi, C. W. Wang, G. Y. Xiao, C. Xie, Z. P. Xu, Lei Zhang & S. Q. Zhu
Nankai University, Tianjin, 300071, People’s Republic of China
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National Centre for Nuclear Research, 02-093, Warsaw, Poland
V. Batozskaya & A. Kupsc
North China Electric Power University, Beijing, 102206, People’s Republic of China
Y. D. Wang & X. D. Zhang
Peking University, Beijing, 100871, People’s Republic of China
Y. Ban, Y. N. Gao, Y. Ma, Y. J. Mao, Y. X. Song, D. Y. Wang, X. Wang, T. Xiang & X. H. Xie
Qufu Normal University, Qufu, 273165, People’s Republic of China
C. Li & Y. H. Wang
Shandong Normal University, Jinan, 250014, People’s Republic of China
R. P. Guo
Shandong University, Jinan, 250100, People’s Republic of China
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Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China
H. J. Yang
Shanxi Normal University, Linfen, 041004, People’s Republic of China
W. H. Tian, L. Yang & J. J. Zhang
Shanxi University, Taiyuan, 030006, People’s Republic of China
F. H. Liu
Sichuan University, Chengdu, 610064, People’s Republic of China
Y. F. Liang & C. J. Tang
Soochow University, Suzhou, 215006, People’s Republic of China
Chao Chen, K. K. He, J. F. Shangguan, Q. Q. Shi, P. P. Su, X. P. Xu & X. Y. Zhang
South China Normal University, Guangzhou, 510006, People’s Republic of China
J. F. Hu, H. N. Li & G. M. Liu
Southeast University, Nanjing, 211100, People’s Republic of China
Y. Bai
State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei, 230026, People’s Republic of China
Q. An, X. Cai, J. F. Chang, M. L. Chen, Y. B. Chen, H. L. Dai, J. Dong, M. Y. Dong, J. Fang, C. Q. Feng, Yang Gao, W. X. Gong, M. H. Gu, Y. K. Heng, T. Hu, G. S. Huang, M. Irshad, X. L. Ji, Z. K. Jia, X. S. Jiang, Z. H. Lei, Cheng Li, F. Li, H. Li, X. H. Li, H. Liang, J. B. Liu, L. Liu, S. B. Liu, W. M. Liu, Z. A. Liu, X. C. Lou, J. G. Lu, Y. P. Lu, X. L. Luo, X. Y. Ma, X. H. Mo, Z. Ning, Q. Ouyang, H. P. Peng, V. Prasad, H. Qi, S. Qian, Z. H. Qin, X. Y. Shan, M. Shao, H. C. Shi, X. Shi, X. D. Shi, Y. J. Sun, Y. X. Tan, J. X. Teng, K. Wang, W. P. Wang, Y. F. Wang, Z. Wang, Z. Wu, L. Xia, Y. G. Xie, Z. P. Xie, W. B. Yan, M. Ye, B. X. Yu, H. Y. Zhang, J. W. Zhang, Y. H. Zhang, Yan Zhang, J. Z. Zhao, Lei Zhao, Y. B. Zhao, Z. G. Zhao, J. P. Zheng, X. R. Zhou, K. J. Zhu & Y. C. Zhu
Sun Yat-Sen University, Guangzhou, 510275, People’s Republic of China
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Suranaree University of Technology, University Avenue 111, Nakhon Ratchasima, 30000, Thailand
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Tsinghua University, Beijing, 100084, People’s Republic of China
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Turkish Accelerator Center Particle Factory Group, Istinye University, 34010, Istanbul, Turkey
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Near East University, Nicosia, North Cyprus, Mersin 10, Turkey
I. Uman
University of Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China
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University of Groningen, NL-9747 AA, Groningen, The Netherlands
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University of Hawaii, Honolulu, Hawaii, 96822, USA
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University of Jinan, Jinan, 250022, People’s Republic of China
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University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
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University of Muenster, Wilhelm-Klemm-Strasse 9, 48149, Muenster, Germany
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University of Oxford, Keble Road, Oxford, OX13RH, United Kingdom
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University of Science and Technology Liaoning, Anshan, 114051, People’s Republic of China
S. H. Zhu
University of Science and Technology of China, Hefei, 230026, People’s Republic of China
Q. An, C. Q. Feng, Yang Gao, G. S. Huang, M. Irshad, Z. K. Jia, Z. H. Lei, Cheng Li, H. Li, X. H. Li, H. Liang, D. Liu, J. B. Liu, L. Liu, S. B. Liu, W. M. Liu, H. P. Peng, V. Prasad, H. Qi, X. Y. Shan, M. Shao, H. C. Shi, X. D. Shi, Y. J. Sun, Y. X. Tan, J. X. Teng, W. P. Wang, Y. Wu, L. Xia, Z. P. Xie, W. B. Yan, H. Zhang, Yan Zhang, Lei Zhao, Z. G. Zhao, X. R. Zhou & Y. C. Zhu
University of South China, Hengyang, 421001, People’s Republic of China
L. Q. Huang, J. L. Liu, J. J. Qin, L. Y Tao, F. Wang, T. Yu, B. Zheng & C. Zhong
University of the Punjab, Lahore, 54590, Pakistan
T. Hussain, Q. A. Malik, K. H. Rashid & A. A. Zafar
University of Turin, I-10125, Turin, Italy
A. Amoroso, F. Bianchi, A. Bortone, M. Destefanis, F. De Mori, M. Greco, L. Lavezzi, M. Maggiora, S. Marcello, S. Sosio & S. Spataro
University of Eastern Piedmont, I-15121, Alessandria, Italy
L. Fava
INFN, I-10125, Turin, Italy
A. Amoroso, F. Bianchi, A. Bortone, W. S. Cheng, F. Cossio, M. Destefanis, F. De Mori, L. Fava, S. Garbolino, M. Greco, L. Lavezzi, M. Maggiora, S. Marcello, A. Rivetti, M. Rolo, S. Sosio & S. Spataro
Uppsala University, Box 516, SE-75120, Uppsala, Sweden
P. Adlarson, T. Johansson, A. Kupsc, K. Schoenning, V. Thoren & M. Wolke
Wuhan University, Wuhan, 430072, People’s Republic of China
H. Cai, X. Dong, Y. L. Fan, P. T. Ge, K. X. Su, L. Sun, Y. H. Tan, W. H. Wang, Z. Y. Zhang & X. Zhou
Xinyang Normal University, Xinyang, 464000, People’s Republic of China
J. L. Zhang
Yunnan University, Kunming, 650500, People’s Republic of China
J. P. Dai
Zhejiang University, Hangzhou, 310027, People’s Republic of China
M. X. Luo
Zhengzhou University, Zhengzhou, 450001, People’s Republic of China
S. X. Du, B. C. Ke, D. M. Li, W. C. Yan, Q. Y. Zhang, Y. T. Zhang & S. J. Zhao
Moscow Institute of Physics and Technology, Moscow, 141700, Russia
G. Chelkov, P. Egorov, A. Guskov & A. Zhemchugov
Novosibirsk State University, Novosibirsk, 630090, Russia
M. N. Achasov, N. Yu. Muchnoi & I. B. Nikolaev
NRC “Kurchatov Institute”, PNPI, 188300, Gatchina, Russia
A. Sarantsev
Goethe University Frankfurt, 60323, Frankfurt am Main, Germany
M. Himmelreich, F. Nerling & K. Peters
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
H. J. Yang
Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Fudan University, Shanghai, 200443, People’s Republic of China
Y. P. Guo, M. H. Liu, T. Liu, T. Luo, X. Pan, T. Y. Qi, X. P. Qin, K. Y. Shan, C. P. Shen, S. Wang, T. Wang, X. L. Wang, X. Wu, H. Xiao, Y. L. Xiao, F. Yan, L. Yan, Y. Z. Zhou & W. J. Zhu
State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, 100871, People’s Republic of China
Y. Ban, Y. N. Gao, Y. Ma, Y. J. Mao, Y. X. Song, D. Y. Wang, X. Wang, T. Xiang & X. H. Xie
School of Physics and Electronics, Hunan University, Changsha, 410082, China
Z. J. Chen, X. Sun, Q. T. Tao, Y. Zeng & Shulei Zhang
Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou, 510006, China
J. F. Hu, H. N. Li & G. M. Liu
Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou, 730000, People’s Republic of China
P. R. Li, H. Liu, X. Liu, Y. Liu, H. J. Wang, X. F. Wang, D. Xiao & J. X. Zhang
Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou, 730000, People’s Republic of China
P. R. Li, H. Liu, X. Liu, Y. Liu, H. J. Wang, X. F. Wang, D. Xiao & J. X. Zhang
Department of Mathematical Sciences, IBA, Karachi, Pakistan
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The BESIII collaboration., Ablikim, M., Achasov, M.N. et al. Amplitude analysis and branching fraction measurement of the decay \( {\textrm{D}}_{\textrm{s}}^{+} \) → K+π+π−π0. J. High Energ. Phys. 2022, 242 (2022). https://doi.org/10.1007/JHEP09(2022)242
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DOI: https://doi.org/10.1007/JHEP09(2022)242
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