Amplitude Analysis of the Decays η^{'}→π^{+}π^{-}π^{0} and η^{'}→π^{0}π^{0}π^{0}.
M Ablikim, M N Achasov, X C Ai, O Albayrak, M Albrecht, D J Ambrose, A Amoroso, F F An, 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, 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 Chen, S J Chen, X Chen, X R Chen, Y B Chen, H P Cheng, X K Chu, G Cibinetto, 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, Z L Dou, S X Du, P F Duan, J Z Fan, J Fang, S S Fang, X Fang, Y Fang, R Farinelli, L Fava, O Fedorov, F Feldbauer, G Felici, C Q Feng, E Fioravanti, M Fritsch, C D Fu, Q Gao, X L Gao, X Y Gao, Y Gao, Z Gao, I Garzia, K Goetzen, L Gong, W X Gong, W Gradl, M Greco, M H Gu, Y T Gu, Y H Guan, A Q Guo, L B Guo, R P Guo, Y Guo, Y P Guo, Z Haddadi, A Hafner, S Han, X Q Hao, F A Harris, K L He, T Held, Y K Heng, Z L Hou, C Hu, H M Hu, J F Hu, T Hu, Y Hu, G S Huang, J S Huang, X T Huang, X Z Huang, Y Huang, Z L Huang, T Hussain, Q Ji, Q P Ji, X B Ji, X L Ji, 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, A Kupsc, W Kühn, J S Lange, M Lara, P Larin, C Leng, C Li, Cheng Li, D M Li, F Li, F Y Li, G Li, H B Li, H J Li, J C Li, Jin Li, K Li, K Li, Lei Li, P R Li, Q Y Li, T Li, W D Li, W G Li, X L Li, X N Li, X Q Li, Y B Li, Z B Li, H Liang, Y F Liang, Y T Liang, G R Liao, D X Lin, B Liu, B J Liu, C X Liu, D 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, Y B Liu, Z A Liu, Zhiqing Liu, H Loehner, X C Lou, H J Lu, J G Lu, Y Lu, Y P Lu, C L Luo, M X Luo, T Luo, X L Luo, X R Lyu, F C Ma, H L Ma, L L Ma, M M Ma, Q M Ma, T Ma, X N Ma, X Y Ma, Y M 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, C Morales Morales, 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, Y Pan, P Patteri, M Pelizaeus, H P Peng, K Peters, J Pettersson, J L Ping, R G Ping, R Poling, V Prasad, H R Qi, M Qi, S Qian, C F Qiao, L Q Qin, N Qin, X S Qin, Z H Qin, J F Qiu, K H Rashid, C F Redmer, M Ripka, G Rong, Ch Rosner, X D Ruan, 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 Shi, W M Song, X Y Song, S Sosio, S Spataro, G X Sun, J F Sun, S S Sun, X H 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, 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, W Wang, W P Wang, X F Wang, Y Wang, Y D Wang, Y F Wang, Y Q Wang, Z Wang, Z G Wang, Z H Wang, Z Y Wang, Z Y Wang, T Weber, D H Wei, P Weidenkaff, S P Wen, U Wiedner, M Wolke, L H Wu, L J Wu, Z Wu, L Xia, L G Xia, Y Xia, D Xiao, H Xiao, Z J Xiao, Y G Xie, Q L Xiu, G F Xu, J J Xu, L Xu, Q J 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 X Yang, M Ye, M H Ye, J H Yin, B X Yu, C X Yu, J S Yu, C Z Yuan, W L Yuan, Y Yuan, A Yuncu, A A Zafar, A Zallo, Y Zeng, Z Zeng, B X Zhang, B Y Zhang, C Zhang, C C Zhang, D H Zhang, H H Zhang, H Y Zhang, J Zhang, J J Zhang, J L Zhang, J Q Zhang, J W Zhang, J Y Zhang, J Z Zhang, K Zhang, L Zhang, S Q Zhang, X Y Zhang, Y Zhang, Y H Zhang, Y N 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, X Zhou, X K Zhou, X R Zhou, X Y Zhou, K Zhu, K J Zhu, S Zhu, S H Zhu, X L Zhu, Y C Zhu, Y S Zhu, Z A Zhu, J Zhuang, L Zotti, B S Zou, J H Zou
Based on a sample of 1.31×10^{9} J/ψ events collected with the BESIII detector, an amplitude analysis of the isospin-violating decays η^{'}→π^{+}π^{-}π^{0} and η^{'}→π^{0}π^{0}π^{0} is performed. A significant P-wave contribution from η^{'}→ρ^{±}π^{∓} is observed for the first time in η^{'}→π^{+}π^{-}π^{0}. The branching fraction is determined to be B(η^{'}→ρ^{±}π^{∓})=(7.44±0.60±1.26±1.84)×10^{-4}, where the first uncertainty is statistical, the second systematic, and the third model dependent. In addition to the nonresonant S-wave component, there is a significant σ meson component. The branching fractions of the combined S-wave components are determined to be B(η^{'}→π^{+}π^{-}π^{0})_{S}=(37.63±0.77±2.22±4.48)×10^{-4} and B(η^{'}→π^{0}π^{0}π^{0})=(35.22±0.82±2.54)×10^{-4}, respectively. The latter one is consistent with previous BESIII measurements.
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