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An amplitude analysis of the $\pi^{0}\pi^{0}$ system produced in radiative $J/\psi$ decays

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arxiv 1506.00546 v2 pith:UB52UOZI submitted 2015-06-01 hep-ex

BESIII Collaboration: M. Ablikim , M. N. Achasov , X. C. Ai , O. Albayrak , M. Albrecht , D. J. Ambrose , A. Amoroso , F. F. An
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Q. An J. Z. Bai R. Baldini Ferroli Y. Ban D. W. Bennett J. V. Bennett M. Bertani D. Bettoni J. M. Bian F. Bianchi E. Boger O. Bondarenko I. Boyko R. A. Briere H. Cai X. Cai O. Cakir A. Calcaterra G. F. Cao S. A. Cetin 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. K. Chu G. Cibinetto D. Cronin-Hennessy H. L. Dai J. P. Dai A. Dbeyssi D. Dedovich Z. Y. Deng A. Denig I. Denysenko M. Destefanis F. De Mori Y. Ding C. Dong J. Dong L. Y. Dong M. Y. Dong S. X. Du P. F. Duan E. E. Eren J. Z. Fan J. Fang S. S. Fang X. Fang Y. Fang L. Fava F. Feldbauer G. Felici C. Q. Feng E. Fioravanti M. Fritsch C. D. Fu Q. Gao X. Y. 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. H. Guan A. Q. Guo L. B. Guo Y. 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 C. Hu H. M. Hu J. F. Hu T. Hu Y. Hu G. M. Huang G. S. Huang H. P. Huang J. S. Huang X. T. Huang Y. Huang T. Hussain Q. Ji Q. P. Ji X. B. Ji X. L. Ji L. L. Jiang L. W. 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. Kupsc 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 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. 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. J. Lu J. G. Lu R. Q. Lu Y. Lu Y. P. Lu C. L. Luo M. X. Luo T. Luo X. L. Luo M. Lv X. R. Lyu F. C. Ma H. L. Ma L. L. Ma Q. M. Ma T. Ma X. N. Ma X. Y. Ma F. E. Maas M. Maggiora Q. A. Malik 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 C. Morales Morales 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 K. 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 Z. H. Qin J. F. Qiu K. H. Rashid C. F. Redmer H. L. Ren M. Ripka G. Rong Ch. Rosner X. D. Ruan V. Santoro A. Sarantsev M. Savrié K. Schoenning S. Schumann W. Shan M. Shao C. P. Shen P. X. Shen X. Y. Shen H. Y. Sheng M. R. Shepherd W. M. Song X. Y. Song S. Sosio S. Spataro G. X. Sun J. F. Sun S. S. Sun Y. J. Sun Y. Z. Sun Z. J. Sun Z. T. Sun C. J. Tang X. Tang I. Tapan E. H. Thorndike M. Tiemens D. Toth 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. G. Xia Y. Xia D. Xiao Z. J. Xiao Y. G. Xie Q. L. Xiu G. F. Xu L. Xu Q. J. Xu Q. N. Xu X. P. Xu L. Yan W. B. Yan W. C. Yan Y. H. Yan H. X. Yang L. Yang Y. Yang Y. X. Yang H. Ye M. Ye M. H. Ye J. H. Yin B. X. Yu C. X. Yu H. W. Yu J. S. Yu C. Z. Yuan W. L. Yuan Y. Yuan A. Yuncu A. A. Zafar A. Zallo Y. 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. Z. Zhao Lei Zhao Ling Zhao M. G. Zhao Q. Zhao Q. W. Zhao S. J. Zhao T. C. Zhao Y. B. Zhao Z. G. Zhao A. Zhemchugov B. Zheng J. P. Zheng W. J. Zheng Y. H. Zheng B. Zhong L. Zhou Li Zhou X. Zhou X. K. Zhou X. R. Zhou X. Y. Zhou K. Zhu K. J. Zhu S. Zhu X. L. Zhu Y. C. Zhu Y. S. Zhu Z. A. Zhu J. Zhuang L. Zotti B. S. Zou J. H. Zou
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abstract

An amplitude analysis of the $\pi^{0}\pi^{0}$ system produced in radiative $J/\psi$ decays is presented. In particular, a piecewise function that describes the dynamics of the $\pi^{0}\pi^{0}$ system is determined as a function of $M_{\pi^{0}\pi^{0}}$ from an analysis of the $(1.311\pm0.011)\times10^{9}$ $J/\psi$ decays collected by the BESIII detector. The goal of this analysis is to provide a description of the scalar and tensor components of the $\pi^0\pi^0$ system while making minimal assumptions about the properties or number of poles in the amplitude. Such a model-independent description allows one to integrate these results with other related results from complementary reactions in the development of phenomenological models, which can then be used to directly fit experimental data to obtain parameters of interest. The branching fraction of $J/\psi \to \gamma \pi^{0}\pi^{0}$ is determined to be $(1.15\pm0.05)\times10^{-3}$, where the uncertainty is systematic only and the statistical uncertainty is negligible.

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