Observation of D^{+}→f_{0}(500)e^{+}ν_{e} and Improved Measurements of D→ρe^{+}ν_{e}.

M Ablikim,M N Achasov,S Ahmed,M Albrecht,M Alekseev,A Amoroso, F F An, Q An, Y Bai, O Bakina,R Baldini Ferroli, Y Ban,K Begzsuren,D W Bennett,J V Bennett, N Berger,M Bertani,D Bettoni,F Bianchi,E Boger, I Boyko, R A Briere, H Cai,X Cai,A Calcaterra,G F Cao, S A Cetin, J Chai,J F Chang,W L Chang, G Chelkov,G Chen,H S Chen,J C Chen,M L Chen,P L Chen,S J Chen,X R Chen, Y B Chen,W Cheng, X K Chu,G Cibinetto,F Cossio, 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 Fang, S S Fang,Y Fang,R Farinelli, L Fava,S Fegan, F Feldbauer,G Felici, C Q Feng,E Fioravanti,M Fritsch, C D Fu,Q Gao,X L Gao,Y Gao,Y G Gao, Z Gao, B Garillon, I Garzia,A Gilman,K Goetzen,L Gong, W X Gong,W Gradl, M Greco,L M Gu, M H Gu, Y T Gu,A Q Guo, L B Guo,R P Guo,Y P Guo,A Guskov, Z Haddadi,S Han, X Q Hao,F A Harris,K L He, X Q He,F H Heinsius,T Held,Y K Heng, Z L Hou, H M Hu, J F Hu, T Hu, Y Hu,G S Huang,J S Huang,X T Huang,X Z Huang,Z L Huang,T Hussain,W Ikegami Andersson,M Irshad,Q Ji,Q P Ji,X B Ji,X L Ji,H L Jiang, X S Jiang, X Y Jiang, J B Jiao,Z Jiao, D P Jin,S Jin,Y Jin,T Johansson, A Julin,N Kalantar-Nayestanaki,X S Kang,M Kavatsyuk, B C Ke,I K Keshk,T Khan,A Khoukaz, P Kiese,R Kiuchi, R Kliemt,L Koch,O B Kolcu, B Kopf, M Kornicer,M Kuemmel,M Kuessner,A Kupsc, M Kurth,W Kühn, J S Lange, P Larin,L Lavezzi, S Leiber, H Leithoff,C Li,Cheng Li,D M Li,F Li,F Y Li,G Li,H B Li,H J Li,J C Li,J W Li,K J Li,Kang Li,Ke Li,Lei Li,P L Li,P R Li,Q Y Li, T Li,W D Li,W G Li,X L Li,X N Li, X Q Li,Z B Li,H Liang,Y F Liang,Y T Liang, G R Liao, L Z Liao,J Libby,C X Lin,D X Lin, B Liu,B J Liu,C X Liu,D Liu,D Y Liu,F H Liu, Fang Liu, Feng Liu,H B Liu,H L Liu,H M Liu,Huanhuan Liu,Huihui Liu,J B Liu,J Y Liu,K Y Liu,Ke Liu, L D Liu,Q Liu,S B Liu,X Liu,Y B Liu,Z A Liu,Zhiqing Liu, Y F Long, 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, S Lusso, X R Lyu, F C Ma,H L Ma,L L Ma,M M Ma,Q M Ma,X N Ma,X Y Ma,Y M Ma,F E Maas,M Maggiora,S Maldaner, Q A Malik,A Mangoni, Y J Mao, Z P Mao,S Marcello,Z X Meng,J G Messchendorp, G Mezzadri,J Min,T J Min, R E Mitchell, X H Mo,Y J Mo,C Morales Morales,N Yu Muchnoi,H Muramatsu,A Mustafa, S Nakhoul,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, M Papenbrock,P Patteri,M Pelizaeus,J Pellegrino, H P Peng, Z Y Peng,K Peters,J Pettersson, J L Ping, R G Ping, A Pitka,R Poling,V Prasad, H R Qi,M Qi,T Y Qi, S Qian, C F Qiao,N Qin,X S Qin, Z H Qin, J F Qiu,S Q Qu, K H Rashid, C F Redmer,M Richter, M Ripka,A Rivetti,M Rolo, G Rong,Ch Rosner, A Sarantsev,M Savrié,K Schoenning, W Shan,X Y Shan,M Shao, C P Shen, P X Shen, X Y Shen, H Y Sheng, X Shi,J J Song, W M Song, X Y Song, S Sosio,C Sowa,S Spataro, F F Sui,G X Sun,J F Sun,L Sun,S S Sun,X H Sun,Y J Sun,Y K Sun,Y Z Sun,Z J Sun,Z T Sun, Y T Tan,C J Tang, G Y Tang,X Tang, M Tiemens,B Tsednee,I Uman,B Wang,B L Wang,C W Wang,D Wang,D Y Wang,Dan Wang, H H Wang,K Wang,L L Wang,L S Wang,M Wang,Meng Wang,P Wang,P L Wang,W P Wang, X F Wang,Y Wang,Y F Wang,Z Wang, Z G Wang,Z Y Wang,Zongyuan 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,X Xia,Y Xia, D Xiao,Y J Xiao,Z J Xiao, Y G Xie, Y H Xie, X A Xiong, Q L Xiu, G F Xu,J J Xu,L Xu, Q J Xu, X P Xu, F Yan,L Yan,W B Yan,W C Yan, Y H Yan,H J Yang,H X Yang,L Yang,R X Yang,S L Yang,Y H Yang,Y X Yang,Yifan Yang,Z Q Yang,M Ye,M H Ye, J H Yin,Z Y You, B X Yu, C X Yu, J S Yu,C Z Yuan,Y Yuan, A Yuncu, A A Zafar,Y Zeng, B X Zhang,B Y Zhang, C C Zhang, D H Zhang, H H Zhang,H Y Zhang, J Zhang, J L Zhang, J Q Zhang, J W Zhang,J Y Zhang, J Z Zhang,K Zhang,L Zhang,S F Zhang, T J Zhang,X Y Zhang,Y Zhang,Y H Zhang,Y T Zhang,Yang Zhang,Yao 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,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,Q Zhou,X Zhou,X K Zhou,X R Zhou,X Y Zhou,Xiaoyu Zhou,Xu Zhou,A N Zhu,J Zhu,K Zhu,K J Zhu,S Zhu,S H Zhu, X L Zhu,Y C Zhu,Y S Zhu,Z A Zhu, J Zhuang,B S Zou, J H Zou

PHYSICAL REVIEW LETTERS（2019）

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摘要

Using a data sample corresponding to an integrated luminosity of 2.93 fb(-1) recorded by the BESIII detector at a center-of-mass energy of 3.773 GeV, we present an analysis of the decays D-0 -> pi(-) pi(0) e(vertical bar) nu(e) and D-vertical bar -> pi(-) pi(vertical bar) e(vertical bar) nu(e). By performing a partial wave analysis, the pi(vertical bar) pi(-) S-wave contribution to D-vertical bar -> pi(-) pi(vertical bar) e(vertical bar) nu(e) is observed to be (25.7 +/- 1.6 +/- 1.1)% with a statistical significance greater than 10 sigma, besides the dominant P-wave contribution. This is the first observation of the S-wave contribution. We measure the branching fractions B(D0 -> rho(-) e(+) nu(e)) = (1.445 +/- 0.058 +/- 0.039) x 10(-3), B(D+ -> rho(0) e(+) nu(e)) = (1.860 +/- 0.070 +/- 0.061) x 10(-3), and B(D+ -> f(0)(500)e(+) nu(e),f(0)(500) -> pi(+) pi(-)) = (6.30 +/- 0.43 +/- 0.32) x 10(-4). An upper limit of B(D+ -> f(0)(980)e(+) nu(e),f(0)(980)-> pi(+) pi(-)) < 2.8 x 10(-5) is set at the 90% confidence level. We also obtain the hadronic form factor ratios of D -> rho e(+) nu(e) at q(2) = 0 assuming the single-pole dominance parametrization: r(V) ={[V(0)]/[A(1)(0)]}=1.695 +/- 0.083 +/- 0.051, r(2) = {[A(2)(0)]/[A(1)(0)]} = 0.845 +/- 0.056 +/- 0.039.

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