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 PHYSICAL REVIEW LETTERS（2017）
摘要
Based on a sample of 1.31 x 10(9) J/Psi events collected with the BESIII detector, an amplitude analysis of the isospin-violating decays eta' -> pi(+)pi(-)pi(0) and eta' -> pi(0)pi(0)pi(0) is performed. A significant P-wave contribution from eta' -> rho(+/-)eta(-/+) is observed for the first time in eta' -> pi(+)pi(-)pi(0). The branching fraction is determined to be B(eta' -> rho(+/-)pi(-/+)) = (7.44 +/- 0.60 +/- 1.26 +/- 1.84) x 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 sigma meson component. The branching fractions of the combined S-wave components are determined to be B(eta' -> pi(+)pi(-)pi(0))(S) = (37.63 +/- 0.77 +/- 2.22 +/- 4.48) x 10(-4) and B(eta' -> pi(0)pi(0)pi(0)) = (35.22 +/- 0.82 +/- 2.54) x 10(-4), respectively. The latter one is consistent with previous BESIII measurements.
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