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Measurement of the Matrix Elements for the Decays $\\eta \\rightarrow \\pi^{+}\\pi^{-}\\pi^0$ and $\\eta/\\eta^{\\prime}\\rightarrow\\pi^0\\pi^0\\pi^0$

Ablikim, M., М. Н. Ачасов, X. Ai, O. Albayrak, M. Albrecht, D. Ambrose, A. Amoroso, F. F. An, Q. An, J. Z. Bai, Baldini Ferroli, R., Y. Ban, D. W. Bennett, J. V. Bennett, M. Bertani, D. Bettoni, J. M. Bian, F. Bianchi, E. Boger, I. Boyko, R. A. Briere, H. Cai, Cai, X., Ö. Çakır, A. Calcaterra, G. F. Cao, S. A. Çetin, J. F. Chang, G. Chelkov, G. Chen, H.S. Chen, H.Y. Chen, J.C. Chen, M.L. Chen, S.J. Chen, X. Chen, X.R. Chen, Y.B. Chen, H.P. Cheng, X. Chu, G. Cibinetto, Dai, H.L., J. P. Dai, A. Dbeyssi, D. Dedovich, Z. Y. Deng, A. G. Denig, I. Denysenko, M. Destefanis, F. De Mori, Y. Ding, C. Dong, J. Dong, L. Y. Dong, M. Y. Dong, S. X. Du, Pengfei Duan, Engin Eren, Jingzhou Fan, J. Fang, S. S. Fang, Xin Fang, Y. Fang, L. Fava, F. Feldbauer, G. Felici, C. Q. Feng, E. Fioravanti, M. Fritsch, C. D. Fu, Q. Gao, X. Gao, Y. Gao, Z. Gao, I. Garzia, C. Geng, K. Goetzen, W. X. Gong, W. Gradl, M. Greco, M. H. Gu, Y. T. Gu, Y. Guan, A. Q. Guo, Lei Guo, Yi-Qing Guo, Y. P. Guo, Z. Haddadi, A. Hafner, S. Han, Y. L. Han, X. Q. Hao, F. A. Harris, K. L. He, Z. Y. He, T. Held, Y. K. Heng, Z. L. Hou, Chenguo Hu, H. M. Hu, J. F. Hu, T. Hu, Y. Hu, G. M. Huang, G. S. Huang, H. P. Huang, Jing-Ning Huang, X. T. Huang, Yizhong Huang, T. Hussain, Q. P. Ji, Q. P. Ji, X. B. Ji, X. L. Ji, L. L. Jiang, Libo Jiang, X. S. Jiang, X. Y. Jiang, J. B. Jiao, Z. Jiao, D. P. Jin, S. Jin, T. Johansson, A. Julin, N. Kalantar-Nayestanaki, X. L. Kang, X. S. Kang, M. Kavatsyuk, B. C. Ke, P. Kiese, R. Kliemt, B. Kloss, O. B. Kolcu, B. Kopf, M. Kornicer, W. Kühn, A. Kupść, J. S. Lange, M. Lara, P. Larin, C. Leng, C. Li, C.H. Li, Cheng Li, D.M. Li, F. Li, G. Li, H.B. Li, J.C. Li, Jin Li, K. Li, K. Li, Lei Li, P.R. Li, T. Li, W.D. Li, W.G. Li, X.L. Li, X.M. Li, X.N. Li, X.Q. Li, Z.B. Li, H. Liang, Y. F. Liang, Y. T. Liang, G. R. Liao, D. X. Lin, B.J. Liu, C.X. Liu, F.H. Liu, Fang Liu, Feng Liu, H.B. Liu, H.H. Liu, H.H. Liu, H.M. Liu, J. Liu, J.B. Liu, J.P. Liu, J.Y. Liu, K. Liu, K.Y. Liu, L.D. Liu, P.L. Liu, Q. Liu, S.B. Liu, X. Liu, X.X. Liu, Y.B. Liu, Z.A. Liu, Zhiqiang Liu, Zhiqing Liu, H. Loehner, X. C. Lou, H. Lu, J. G. Lu, R.Q. Lu, Y. Lu, Y. Lu, C. L. Luo, M. X. Luo, T. Luo, X. L. Luo, M. Lv, X. R. Lyu, F. C. Ma, H. L., L.L. Ma, Q. M. Ma, T. Ma, Xiao-Yan Ma, X. Y. Ma, F. E. Maas, M. Maggiora, Y. J. Mao, Z. P. Mao, S. Marcello, J. G. Messchendorp, J. Min, T. J. Min, R. E. Mitchell, X. H. Mo, Y. J. Mo, Morales Morales, C., K. Moriya, N. Yu. Muchnoi, H. Muramatsu, Y. Nefedov, F. Nerling, I. B. Nikolaev, Z. Ning, S. Nisar, S. L. Niu, X. Y. Niu, S. L. Olsen, Q. Ouyang, S. Pacetti, P. Patteri, M. Pelizaeus, H. P. Peng, Κ. Peters, J. Pettersson, J. L. Ping, R. G. Ping, R. Poling, V. Prasad, Y. N. Pu, M. Qi, S. Qian, C.F. Qiao, L.Q. Qin, N. Qin, X. S. Qin, Y. Qin, H. R. Qi, J. F. Qiu, K. H. Rashid, C. F. Redmer, H. Ren, M. Ripka, G. Rong, Ch. Rosner, X. D. Ruan, V. Santoro, A. Sarantsev, M. Savrié, K. Schoenning, S. Schumann, Shan, W., M. Shao, C. P. Shen, P. X. Shen, X. Y. Shen, H. Y. Sheng, W. M. Song, Y. X. Song, S. Sosio, S. Spataro, G. X. Sun, J. F. Sun, S.S. Sun, Y. J. Sun, Y. Z. Sun, Zicheng Sun, Z. T. Sun, C. J. Tang, X. Tang, İ. Tapan, E. H. Thorndike, M. Tiemens, M. Ullrich, I. Uman, G. S. Varner, B. Wang, B.L. Wang, D. Wang, D.Y. Wang, K. Wang, L.L. Wang, L.S. Wang, M. Wang, P. Wang, P.L. Wang, S.G. Wang, W. Wang, X.F. Wang, Y.D. Wang, Y.F. Wang, Y.Q. Wang, Z. Wang, Z.G. Wang, Z.H. Wang, Z.Y. Wang, T. Weber, D. H. Wei, J. B. Wei, P. Weidenkaff, S. P. Wen, U. Wiedner, M. Wolke, L. H. Wu, Z. Wu, L. Xia, Yu Xia, D. Xiao, Z. J. Xiao, Y. G. Xie, Q. L. Xiu, G. F. Xu, L. Xu, Q. Xu, Q. N. Xu, X. P. Xu, L. Yan, W. B. Yan, W. C. Yan, Y. H. Yan, H. J. Yang, H. X. Yang, L. Yang, Y. Yang, Yueling Yang, H. Ye, M. Ye, M.H. Ye, J. H. Yin, B. X. Yu, C. X. Yu, Hong Yu, J. S. Yu, C. Z. Yuan, W. L. Yuan, Y. Yuan, A. Yuncu, A. A. Zafar, A. Zallo, Yun Zeng, B.X. Zhang, B.Y. Zhang, C. Zhang, C.C. Zhang, D.H. Zhang, H.H. Zhang, H.Y. Zhang, J.J. Zhang, J.L. Zhang, J.Q. Zhang, J.W. Zhang, J.Y. Zhang, J.Z. Zhang, K. Zhang, L. Zhang, S.H. Zhang, X.Y. Zhang, Y. Zhang, Y.N. Zhang, Y.H. Zhang, Y.T. Zhang, Yu Zhang, Z.H. Zhang, Z.P. Zhang, Z.Y. Zhang, G. Zhao, J. W. Zhao, J. Y. Zhao, J. Zhao, Lei Zhao, Ling Zhao, M. G. Zhao, Q. Zhao, Q. W. Zhao, S. J. Zhao, T. C. Zhao, Y. B. Zhao, Zongyao Zhao, A. Zhemchugov, B. Zheng, J. P. Zheng, W. J. Zheng, Y. H. Zheng, B. Zhong, L. Zhou, L. Zhou, X. Zhou, X. Zhou, X. R. Zhou, X. Y. Zhou, K. J. Zhu, K. J. Zhu, S. H. Zhu, Xiaoyu Zhu, Y. Zhu, Y. S. Zhu, Z. A. Zhu, J. Zhuang, L. Zotti, B. S. Zou, J. H. Zou

Open publisher page 16 citations

Abstract

Based on a sample of $1.31 \\times 10^9$ $J/\\psi$ events collected with the BESIII detector at the BEPCII collider, Dalitz plot analyses of selected 79,625 $\\eta\\rightarrow\\pi^{+}\\pi^{-}\\pi^0$ events, 33,908 $\\eta\\rightarrow\\pi^0\\pi^0\\pi^0$ events and 1,888 $\\eta^{\\prime}\\rightarrow\\pi^0\\pi^0\\pi^0$ events are performed. The measured matrix elements of $\\eta\\rightarrow\\pi^+\\pi^-\\pi^0$ are in reasonable agreement with previous measurements. The Dalitz plot slope parameters of $\\eta\\rightarrow\\pi^0\\pi^0\\pi^0$ and $\\eta^{\\prime}\\rightarrow\\pi^0\\pi^0\\pi^0$ are determined to be $-0.055 \\pm 0.014 \\pm 0.004$ and $-0.640 \\pm 0.046 \\pm 0.047$, respectively, where the first uncertainties are statistical and the second systematic. Both values are consistent with previous measurements, while the precision of the latter one is improved by a factor of three. Final state interactions are found to have an important role in those decays.

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What this paper is about

Based on a sample of $1.31 \\times 10^9$ $J/\\psi$ events collected with the BESIII detector at the BEPCII collider, Dalitz plot analyses of selected 79,625 $\\eta\\rightarrow\\pi^{+}\\pi^{-}\\pi^0$ events, 33,908 $\\eta\\rightarrow\\pi^0\\pi^0\\pi^0$ events and 1,888 $\\eta^{\\prime}\\rightarrow\\pi^0\\pi^0\\pi^0$ events are performed. The measured matrix elements of $\\eta\\rightarrow\\pi^+\\pi^-\\pi^0$ are in reasonable agreement with previous measurements. The Dalitz plot slope parameters of $\\eta\\rightarrow\\pi^0\\pi^0\\pi^0$ and $\\eta^{\\prime}\\rightarrow\\pi^0\\pi^0\\pi^0$ are determined to be $-0.055 \\pm 0.014 \\pm 0.004$ and $-0.640 \\pm 0.046 \\pm 0.047$, respectively, where the first uncertainties are statistical and the second systematic. Both values are consistent with previous measurements, while the precision of the latter one is improved by a factor of three. Final state interactions are found to have an important role in those decays.

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Available abstract

Based on a sample of $1.31 \\times 10^9$ $J/\\psi$ events collected with the BESIII detector at the BEPCII collider, Dalitz plot analyses of selected 79,625 $\\eta\\rightarrow\\pi^{+}\\pi^{-}\\pi^0$ events, 33,908 $\\eta\\rightarrow\\pi^0\\pi^0\\pi^0$ events and 1,888 $\\eta^{\\prime}\\rightarrow\\pi^0\\pi^0\\pi^0$ events are performed. The measured matrix elements of $\\eta\\rightarrow\\pi^+\\pi^-\\pi^0$ are in reasonable agreement with previous measurements. The Dalitz plot slope parameters of $\\eta\\rightarrow\\pi^0\\pi^0\\pi^0$ and $\\eta^{\\prime}\\rightarrow\\pi^0\\pi^0\\pi^0$ are determined to be $-0.055 \\pm 0.014 \\pm 0.004$ and $-0.640 \\pm 0.046 \\pm 0.047$, respectively, where the first uncertainties are statistical and the second systematic. Both values are consistent with previous measurements, while the precision of the latter one is improved by a factor of three. Final state interactions are found to have an important role in those decays.

Key concepts: Physics, Dalitz plot, Pi, Particle physics, Collider, Electron–positron annihilation, Nuclear physics, Hadron

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Measurement of the Matrix Elements for the Decays $\\eta \\rightarrow \\pi^{+}\\pi^{-}\\pi^0$ and $\\eta/\\eta^{\\prime}\\rightarrow\\pi^0\\pi^0\\pi^0$ — Research Paper | ScholarLens