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Partial wave analysis of $χ_{c 0} \to π^{+} π^{-} K^{+} K^{-}$

M. Ablikim¹, J. Z. Bai¹, Y. Ban¹¹, J. G. Bian¹, X. Cai¹, H. F. Chen¹⁶, H. S. Chen¹, H. X. Chen¹, J. C. Chen¹ et al. (BES Collaboration)

J. C. Chen¹, Jin Chen¹, Y. B. Chen¹, S. P. Chi², Y. P. Chu¹, X. Z. Cui¹, Y. S. Dai¹⁸, Z. Y. Deng¹, L. Y. Dong^1,*, Q. F. Dong¹⁴, S. X. Du¹, Z. Z. Du¹, J. Fang¹, S. S. Fang², C. D. Fu¹, C. S. Gao¹, Y. N. Gao¹⁴, S. D. Gu¹, Y. T. Gu⁴, Y. N. Guo¹, Y. Q. Guo¹, Z. J. Guo¹⁵, F. A. Harris¹⁵, K. L. He¹, M. He¹², Y. K. Heng¹, H. M. Hu¹, T. Hu¹, G. S. Huang^1,†, X. P. Huang¹, X. T. Huang¹², X. B. Ji¹, X. S. Jiang¹, J. B. Jiao¹², D. P. Jin¹, S. Jin¹, Yi Jin¹, Y. F. Lai¹, G. Li², H. B. Li¹, H. H. Li¹, J. Li¹, R. Y. Li¹, S. M. Li¹, W. D. Li¹, W. G. Li¹, X. L. Li⁸, X. Q. Li¹⁰, Y. L. Li⁴, Y. F. Liang¹³, H. B. Liao⁶, C. X. Liu¹, F. Liu⁶, Fang Liu¹⁶, H. H. Liu¹, H. M. Liu¹, J. Liu¹¹, J. B. Liu¹, J. P. Liu¹⁷, R. G. Liu¹, Z. A. Liu¹, F. Lu¹, G. R. Lu⁵, H. J. Lu¹⁶, J. G. Lu¹, C. L. Luo⁹, F. C. Ma⁸, H. L. Ma¹, L. L. Ma¹, Q. M. Ma¹, X. B. Ma⁵, Z. P. Mao¹, X. H. Mo¹, J. Nie¹, S. L. Olsen¹⁵, H. P. Peng¹⁶, N. D. Qi¹, H. Qin⁹, J. F. Qiu¹, Z. Y. Ren¹, G. Rong¹, L. Y. Shan¹, L. Shang¹, D. L. Shen¹, X. Y. Shen¹, H. Y. Sheng¹, F. Shi¹, X. Shi^11,‡, H. S. Sun¹, J. F. Sun¹, S. S. Sun¹, Y. Z. Sun¹, Z. J. Sun¹, Z. Q. Tan⁴, X. Tang¹, Y. R. Tian¹⁴, G. L. Tong¹, G. S. Varner¹⁵, D. Y. Wang¹, L. Wang¹, L. S. Wang¹, M. Wang¹, P. Wang¹, P. L. Wang¹, W. F. Wang^1,§, Y. F. Wang¹, Z. Wang¹, Z. Y. Wang¹, Zhe Wang¹, Zheng Wang², C. L. Wei¹, D. H. Wei¹, N. Wu¹, X. M. Xia¹, X. X. Xie¹, B. Xin^8,†, G. F. Xu¹, Y. Xu¹⁰, M. L. Yan¹⁶, F. Yang¹⁰, H. X. Yang¹, J. Yang¹⁶, Y. X. Yang³, M. H. Ye², Y. X. Ye¹⁶, Z. Y. Yi¹, G. W. Yu¹, C. Z. Yuan¹, J. M. Yuan¹, Y. Yuan¹, S. L. Zang¹, Y. Zeng⁷, Yu Zeng¹, B. X. Zhang¹, B. Y. Zhang¹, C. C. Zhang¹, D. H. Zhang¹, H. Y. Zhang¹, J. W. Zhang¹, J. Y. Zhang¹, Q. J. Zhang¹, X. M. Zhang¹, X. Y. Zhang¹², Yiyun Zhang¹³, Z. P. Zhang¹⁶, Z. Q. Zhang⁵, D. X. Zhao¹, J. W. Zhao¹, M. G. Zhao¹⁰, P. P. Zhao¹, W. R. Zhao¹, Z. G. Zhao^1,∥, H. Q. Zheng¹¹, J. P. Zheng¹, Z. P. Zheng¹, L. Zhou¹, N. F. Zhou¹, K. J. Zhu¹, Q. M. Zhu¹, Y. C. Zhu¹, Y. S. Zhu¹, Yingchun Zhu^1,¶, Z. A. Zhu¹, B. A. Zhuang¹, X. A. Zhuang¹, and B. S. Zou¹ (BES Collaboration)

¹Institute of High Energy Physics, Beijing 100049, People’s Republic of China
²China Center of Advanced Science and Technology, Beijing 100080, People’s Republic of China
³Guangxi Normal University, Guilin 541004, People’s Republic of China
⁴Guangxi University, Nanning 530004, People’s Republic of China
⁵Henan Normal University, Xinxiang 453002, People’s Republic of China
⁶Huazhong Normal University, Wuhan 430079, People’s Republic of China
⁷Hunan University, Changsha 410082, People’s Republic of China
⁸Liaoning University, Shenyang 110036, People’s Republic of China
⁹Nanjing Normal University, Nanjing 210097, People’s Republic of China
¹⁰Nankai University, Tianjin 300071, People’s Republic of China
¹¹Peking University, Beijing 100871, People’s Republic of China
¹²Shandong University, Jinan 250100, People’s Republic of China
¹³Sichuan University, Chengdu 610064, People’s Republic of China
¹⁴Tsinghua University, Beijing 100084, People’s Republic of China
¹⁵University of Hawaii, Honolulu, Hawaii 96822, USA
¹⁶University of Science and Technology of China, Hefei 230027, People’s Republic of China
¹⁷Wuhan University, Wuhan 430072, People’s Republic of China
¹⁸Zhejiang University, Hangzhou 310028, People’s Republic of China

^*Present address: Iowa State University, Ames, IA 50011-3160, USA.
^†Present address: Purdue University, West Lafayette, IN 47907, USA.
^‡Present address: Cornell University, Ithaca, NY 14853, USA.
^§Present address: Laboratoire de l’Accélératear Linéaire, F-91898 Orsay, France.
^∥Present address: University of MI, Ann Arbor, MI 48109, USA.
^¶Present address: DESY, D-22607, Hamburg, Germany.

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Phys. Rev. D 72, 092002 – Published 4 November, 2005

DOI: https://doi.org/10.1103/PhysRevD.72.092002

Abstract

A partial wave analysis of $χ_{c 0} \to π^{+} π^{-} K^{+} K^{-}$ in $ψ (2 S) \to γ χ_{c 0}$ decay is presented using a sample of $14 \times 10^{6}$ $ψ (2 S)$ events accumulated by the BES II detector. The data are fitted to the sum of relativistic covariant tensor amplitudes for intermediate resonant decay modes. From the fit, significant contributions to $χ_{c 0}$ decays from the channels $f_{0} (980) f_{0} (980)$ , $f_{0} (980) f_{0} (2200)$ , $f_{0} (1370) f_{0} (1710)$ , $K^{*} (892)^{0} {\bar{K}}^{*} (892)^{0}$ , $K_{0}^{*} (1430) {\bar{K}}_{0}^{*} (1430)$ , $K_{0}^{*} (1430) {\bar{K}}_{2}^{*} (1430) + c . c .$ , and $K_{1} (1270) K$ are found. Flavor-SU(3)-violating $K_{1} (1270) - K_{1} (1400)$ asymmetry is observed. Values obtained for the masses and widths of the resonances $f_{0} (1710)$ , $f_{0} (2200)$ , $f_{0} (1370)$ , and $K_{0}^{*} (1430)$ are presented.

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Partial wave analysis of $χ_{c 0} \to π^{+} π^{-} K^{+} K^{-}$

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Partial wave analysis of χc0→π+π−K+K−

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Partial wave analysis of $χ_{c 0} \to π^{+} π^{-} K^{+} K^{-}$