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Amplitude analysis of the $D^{+} \to K_{S}^{0} π^{+} π^{0}$ Dalitz plot

M. Ablikim¹, M. N. Achasov^8,*, X. C. Ai¹, O. Albayrak⁴, M. Albrecht³, D. J. Ambrose⁴¹, F. F. An¹, Q. An⁴², J. Z. Bai¹ et al. (BESIII Collaboration)

J. Z. Bai¹, R. Baldini Ferroli^19a, Y. Ban²⁸, J. V. Bennett¹⁸, M. Bertani^19a, J. M. Bian⁴⁰, E. Boger^21,†, O. Bondarenko²², I. Boyko²¹, S. Braun³⁷, R. A. Briere⁴, H. Cai⁴⁷, X. Cai¹, O. Cakir^36a, A. Calcaterra^19a, G. F. Cao¹, S. A. Cetin^36b, J. F. Chang¹, G. Chelkov^21,†, G. Chen¹, H. S. Chen¹, J. C. Chen¹, M. L. Chen¹, S. J. Chen²⁶, X. Chen¹, X. R. Chen²³, Y. B. Chen¹, H. P. Cheng¹⁶, X. K. Chu²⁸, Y. P. Chu¹, D. Cronin-Hennessy⁴⁰, H. L. Dai¹, J. P. Dai¹, D. Dedovich²¹, Z. Y. Deng¹, A. Denig²⁰, I. Denysenko²¹, M. Destefanis^45a,45c, W. M. Ding³⁰, Y. Ding²⁴, C. Dong²⁷, J. Dong¹, L. Y. Dong¹, M. Y. Dong¹, S. X. Du⁴⁹, J. Z. Fan³⁵, J. Fang¹, S. S. Fang¹, Y. Fang¹, L. Fava^45b,45c, C. Q. Feng⁴², C. D. Fu¹, O. Fuks^21,†, Q. Gao¹, Y. Gao³⁵, C. Geng⁴², K. Goetzen⁹, W. X. Gong¹, W. Gradl²⁰, M. Greco^45a,45c, M. H. Gu¹, Y. T. Gu¹¹, Y. H. Guan¹, A. Q. Guo²⁷, L. B. Guo²⁵, T. Guo²⁵, Y. P. Guo²⁰, Y. L. Han¹, F. A. Harris³⁹, K. L. He¹, M. He¹, Z. Y. He²⁷, T. Held³, Y. K. Heng¹, Z. L. Hou¹, C. Hu²⁵, H. M. Hu¹, J. F. Hu³⁷, T. Hu¹, G. M. Huang⁵, G. S. Huang⁴², H. P. Huang⁴⁷, J. S. Huang¹⁴, L. Huang¹, X. T. Huang³⁰, Y. Huang²⁶, T. Hussain⁴⁴, C. S. Ji⁴², Q. Ji¹, Q. P. Ji²⁷, X. B. Ji¹, X. L. Ji¹, L. L. Jiang¹, L. W. Jiang⁴⁷, X. S. Jiang¹, J. B. Jiao³⁰, Z. Jiao¹⁶, D. P. Jin¹, S. Jin¹, T. Johansson⁴⁶, N. Kalantar-Nayestanaki²², X. L. Kang¹, X. S. Kang²⁷, M. Kavatsyuk²², B. Kloss²⁰, B. Kopf³, M. Kornicer³⁹, W. Kuehn³⁷, A. Kupsc⁴⁶, W. Lai¹, J. S. Lange³⁷, M. Lara¹⁸, P. Larin¹³, M. Leyhe³, C. H. Li¹, Cheng Li⁴², Cui Li⁴², D. Li¹⁷, D. M. Li⁴⁹, F. Li¹, G. Li¹, H. B. Li¹, J. C. Li¹, K. Li¹², K. Li³⁰, Lei Li¹, P. R. Li³⁸, Q. J. Li¹, T. Li³⁰, W. D. Li¹, W. G. Li¹, X. L. Li³⁰, X. N. Li¹, X. Q. Li²⁷, Z. B. Li³⁴, H. Liang⁴², Y. F. Liang³², Y. T. Liang³⁷, D. X. Lin¹³, B. J. Liu¹, C. L. Liu⁴, C. X. Liu¹, F. H. Liu³¹, Fang Liu¹, Feng Liu⁵, H. B. Liu¹¹, H. H. Liu¹⁵, H. M. Liu¹, J. Liu¹, J. P. Liu⁴⁷, K. Liu³⁵, K. Y. Liu²⁴, P. L. Liu³⁰, Q. Liu³⁸, S. B. Liu⁴², X. Liu²³, Y. B. Liu²⁷, Z. A. Liu¹, Zhiqiang Liu¹, Zhiqing Liu²⁰, H. Loehner²², X. C. Lou^1,‡, G. R. Lu¹⁴, H. J. Lu¹⁶, H. L. Lu¹, J. G. Lu¹, X. R. Lu³⁸, Y. Lu¹, Y. P. Lu¹, C. L. Luo²⁵, M. X. Luo⁴⁸, T. Luo³⁹, X. L. Luo¹, M. Lv¹, F. C. Ma²⁴, H. L. Ma¹, Q. M. Ma¹, S. Ma¹, T. Ma¹, X. Y. Ma¹, F. E. Maas¹³, M. Maggiora^45a,45c, Q. A. Malik⁴⁴, Y. J. Mao²⁸, Z. P. Mao¹, J. G. Messchendorp²², J. Min¹, T. J. Min¹, R. E. Mitchell¹⁸, X. H. Mo¹, Y. J. Mo⁵, H. Moeini²², C. Morales Morales¹³, K. Moriya¹⁸, N. Yu. Muchnoi^8,*, H. Muramatsu⁴⁰, Y. Nefedov²¹, I. B. Nikolaev^8,*, Z. Ning¹, S. Nisar⁷, X. Y. Niu¹, S. L. Olsen²⁹, Q. Ouyang¹, S. Pacetti^19b, M. Pelizaeus³, H. P. Peng⁴², K. Peters⁹, J. L. Ping²⁵, R. G. Ping¹, R. Poling⁴⁰, N. Qin⁴⁷, M. Qi²⁶, S. Qian¹, C. F. Qiao³⁸, L. Q. Qin³⁰, X. S. Qin¹, Y. Qin²⁸, Z. H. Qin¹, J. F. Qiu¹, K. H. Rashid⁴⁴, C. F. Redmer²⁰, M. Ripka²⁰, G. Rong¹, X. D. Ruan¹¹, A. Sarantsev^21,$, K. Schoenning⁴⁶, S. Schumann²⁰, W. Shan²⁸, M. Shao⁴², C. P. Shen², X. Y. Shen¹, H. Y. Sheng¹, M. R. Shepherd¹⁸, W. M. Song¹, X. Y. Song¹, S. Spataro^45a,45c, B. Spruck³⁷, G. X. Sun¹, J. F. Sun¹⁴, S. S. Sun¹, Y. J. Sun⁴², Y. Z. Sun¹, Z. J. Sun¹, Z. T. Sun⁴², C. J. Tang³², X. Tang¹, I. Tapan^36c, E. H. Thorndike⁴¹, D. Toth⁴⁰, M. Ullrich³⁷, I. Uman^36b, G. S. Varner³⁹, B. Wang²⁷, D. Wang²⁸, D. Y. Wang²⁸, K. Wang¹, L. L. Wang¹, L. S. Wang¹, M. Wang³⁰, P. Wang¹, P. L. Wang¹, Q. J. Wang¹, S. G. Wang²⁸, W. Wang¹, X. F. Wang³⁵, Y. D. Wang^19a, Y. F. Wang¹, Y. Q. Wang²⁰, Z. Wang¹, Z. G. Wang¹, Z. H. Wang⁴², Z. Y. Wang¹, D. H. Wei¹⁰, J. B. Wei²⁸, P. Weidenkaff²⁰, S. P. Wen¹, M. Werner³⁷, U. Wiedner³, M. Wolke⁴⁶, L. H. Wu¹, N. Wu¹, Z. Wu¹, L. G. Xia³⁵, Y. Xia¹⁷, D. Xiao¹, Z. J. Xiao²⁵, Y. G. Xie¹, Q. L. Xiu¹, G. F. Xu¹, L. Xu¹, Q. J. Xu¹², Q. N. Xu³⁸, X. P. Xu³³, Z. Xue¹, L. Yan⁴², W. B. Yan⁴², W. C. Yan⁴², Y. H. Yan¹⁷, H. X. Yang¹, L. Yang⁴⁷, Y. Yang⁵, Y. X. Yang¹⁰, H. Ye¹, M. Ye¹, M. H. Ye⁶, B. X. Yu¹, C. X. Yu²⁷, H. W. Yu²⁸, J. S. Yu²³, S. P. Yu³⁰, C. Z. Yuan¹, W. L. Yuan²⁶, Y. Yuan¹, A. A. Zafar⁴⁴, A. Zallo^19a, S. L. Zang²⁶, Y. Zeng¹⁷, B. X. Zhang¹, B. Y. Zhang¹, C. Zhang²⁶, C. B. Zhang¹⁷, C. C. Zhang¹, D. H. Zhang¹, H. H. Zhang³⁴, H. Y. Zhang¹, J. J. Zhang¹, J. Q. Zhang¹, J. W. Zhang¹, J. Y. Zhang¹, J. Z. Zhang¹, S. H. Zhang¹, X. J. Zhang¹, X. Y. Zhang³⁰, Y. Zhang¹, Y. H. Zhang¹, Z. H. Zhang⁵, Z. P. Zhang⁴², Z. Y. Zhang⁴⁷, G. Zhao¹, J. W. Zhao¹, Lei Zhao⁴², Ling Zhao¹, M. G. Zhao²⁷, Q. Zhao¹, Q. W. Zhao¹, S. J. Zhao⁴⁹, T. C. Zhao¹, X. H. Zhao²⁶, Y. B. Zhao¹, Z. G. Zhao⁴², A. Zhemchugov^21,†, B. Zheng⁴³, J. P. Zheng¹, Y. H. Zheng³⁸, B. Zhong²⁵, L. Zhou¹, Li Zhou²⁷, X. Zhou⁴⁷, X. K. Zhou³⁸, X. R. Zhou⁴², X. Y. Zhou¹, K. Zhu¹, K. J. Zhu¹, X. L. Zhu³⁵, Y. C. Zhu⁴², Y. S. Zhu¹, Z. A. Zhu¹, J. Zhuang¹, B. S. Zou¹, and J. H. Zou¹ (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
⁴Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
⁵Central China Normal University, Wuhan 430079, People’s Republic of China
⁶China Center of Advanced Science and Technology, Beijing 100190, People’s Republic of China
⁷COMSATS Institute of Information Technology, Lahore, Defence Road, Off Raiwind Road, 54000 Lahore, Pakistan
⁸G.I. Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk 630090, Russia
⁹GSI Helmholtzcentre for Heavy Ion Research GmbH, D-64291 Darmstadt, Germany
¹⁰Guangxi Normal University, Guilin 541004, People’s Republic of China
¹¹GuangXi University, Nanning 530004, People’s Republic of China
¹²Hangzhou Normal University, Hangzhou 310036, People’s Republic of China
¹³Helmholtz Institute Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany
¹⁴Henan Normal University, Xinxiang 453007, People’s Republic of China
¹⁵Henan University of Science and Technology, Luoyang 471003, People’s Republic of China
¹⁶Huangshan College, Huangshan 245000, People’s Republic of China
¹⁷Hunan University, Changsha 410082, People’s Republic of China
¹⁸Indiana University, Bloomington, Indiana 47405, USA
^19aINFN Laboratori Nazionali di Frascati, I-00044 Frascati, Italy
^19bINFN and University of Perugia, I-06100 Perugia, Italy
²⁰Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany
²¹Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia
²²KVI, University of Groningen, NL-9747 AA Groningen, The Netherlands
²³Lanzhou University, Lanzhou 730000, People’s Republic of China
²⁴Liaoning University, Shenyang 110036, People’s Republic of China
²⁵Nanjing Normal University, Nanjing 210023, People’s Republic of China
²⁶Nanjing University, Nanjing 210093, People’s Republic of China
²⁷Nankai university, Tianjin 300071, People’s Republic of China
²⁸Peking University, Beijing 100871, People’s Republic of China
²⁹Seoul National University, Seoul 151-747 Korea
³⁰Shandong University, Jinan 250100, People’s Republic of China
³¹Shanxi University, Taiyuan 030006, People’s Republic of China
³²Sichuan University, Chengdu 610064, People’s Republic of China
³³Soochow University, Suzhou 215006, People’s Republic of China
³⁴Sun Yat-Sen University, Guangzhou 510275, People’s Republic of China
³⁵Tsinghua University, Beijing 100084, People’s Republic of China
^36aAnkara University, Dogol Caddesi, 06100 Tandogan, Ankara, Turkey
^36bDogus University, 34722 Istanbul, Turkey
^36cUludag University, 16059 Bursa, Turkey
³⁷Universitaet Giessen, D-35392 Giessen, Germany
³⁸University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
³⁹University of Hawaii, Honolulu, Hawaii 96822, USA
⁴⁰University of Minnesota, Minneapolis, Minnesota 55455, USA
⁴¹University of Rochester, Rochester, New York 14627, USA
⁴²University of Science and Technology of China, Hefei 230026, People’s Republic of China
⁴³University of South China, Hengyang 421001, People’s Republic of China
⁴⁴University of the Punjab, Lahore-54590, Pakistan
^45aUniversity of Turin, I-10125 Turin, Italy
^45bUniversity of Eastern Piedmont, I-15121 Alessandria, Italy
^45cINFN, I-10125 Turin, Italy
⁴⁶Uppsala University, Box 516, SE-75120 Uppsala, Sweden
⁴⁷Wuhan University, Wuhan 430072, People’s Republic of China
⁴⁸Zhejiang University, Hangzhou 310027, People’s Republic of China
⁴⁹Zhengzhou University, Zhengzhou 450001, People’s Republic of China

^*Also at the Novosibirsk State University, Novosibirsk 630090, Russia.
^†Also at the Moscow Institute of Physics and Technology, Moscow 141700, Russia.
^‡Also at University of Texas at Dallas, Richardson, Texas 75083, USA.
^$Also at the PNPI, Gatchina 188300, Russia.

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Phys. Rev. D 89, 052001 – Published 11 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.052001

Abstract

We perform an analysis of the $D^{+} \to K_{S}^{0} π^{+} π^{0}$ Dalitz plot using a data set of $2.92 {fb}^{- 1}$ of $e^{+} e^{-}$ collisions at the $ψ (3770)$ mass accumulated by the BESIII experiment, in which 166694 candidate events are selected with a background of 15.1%. The Dalitz plot is found to be well represented by a combination of six quasi-two-body decay channels [ $K_{S}^{0} ρ^{+}$ , $K_{S}^{0} ρ (1450)^{+}$ , ${\bar{K}}^{* 0} π^{+}$ , ${\bar{K}}_{0} (1430)^{0} π^{+}$ , $\bar{K} (1680)^{0} π^{+}$ , ${\bar{κ}}^{0} π^{+}$ ] plus a small nonresonant component. Using the fit fractions from this analysis, partial branching ratios are updated with higher precision than previous measurements.

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References (22)

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Amplitude analysis of the $D^{+} \to K_{S}^{0} π^{+} π^{0}$ Dalitz plot

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Amplitude analysis of the D+→KS0π+π0 Dalitz plot

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Amplitude analysis of the $D^{+} \to K_{S}^{0} π^{+} π^{0}$ Dalitz plot