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Phys Rev Lett. 2019 Feb 15;122(6):062001. doi: 10.1103/PhysRevLett.122.062001.

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

Ablikim M1, Achasov MN2, Ahmed S3, Albrecht M4, Alekseev M5,6, Amoroso A5,6, An FF1, An Q7,8, Bai Y9, Bakina O10, Baldini Ferroli R11, Ban Y12, Begzsuren K13, Bennett DW14, Bennett JV15, Berger N16, Bertani M11, Bettoni D17, Bianchi F5,6, Boger E10, Boyko I10, Briere RA15, Cai H18, Cai X1,7, Calcaterra A11, Cao GF1,19, Cetin SA20, Chai J6, Chang JF1,7, Chang WL1,19, Chelkov G10, Chen G1, Chen HS1,19, Chen JC1, Chen ML1,7, Chen PL21, Chen SJ22, Chen XR23, Chen YB1,7, Cheng W6, Chu XK12, Cibinetto G17, Cossio F6, Dai HL1,7, Dai JP24, Dbeyssi A3, Dedovich D10, Deng ZY1, Denig A16, Denysenko I10, Destefanis M5,6, De Mori F5,6, Ding Y25, Dong C26, Dong J1,7, Dong LY1,19, Dong MY1,7,19, Dou ZL22, Du SX27, Duan PF1, Fang J1,7, Fang SS1,19, Fang Y1, Farinelli R17,28, Fava L29,6, Fegan S16, Feldbauer F4, Felici G11, Feng CQ7,8, Fioravanti E17, Fritsch M4, Fu CD1, Gao Q1, Gao XL7,8, Gao Y30, Gao YG31, Gao Z7,8, Garillon B16, Garzia I17, Gilman A32, Goetzen K33, Gong L26, Gong WX1,7, Gradl W16, Greco M5,6, Gu LM22, Gu MH1,7, Gu YT34, Guo AQ1, Guo LB35, Guo RP1,19, Guo YP16, Guskov A10, Haddadi Z36, Han S18, Hao XQ37, Harris FA38, He KL1,19, He XQ39, Heinsius FH4, Held T4, Heng YK1,7,19, Hou ZL1, Hu HM1,19, Hu JF24, Hu T1,7,19, Hu Y1, Huang GS7,8, Huang JS37, Huang XT40, Huang XZ22, Huang ZL25, Hussain T41, Ikegami Andersson W42, Irshad M7,8, Ji Q1, Ji QP37, Ji XB1,19, Ji XL1,7, Jiang HL40, Jiang XS1,7,19, Jiang XY26, Jiao JB40, Jiao Z43, Jin DP1,7,19, Jin S22, Jin Y44, Johansson T42, Julin A32, Kalantar-Nayestanaki N36, Kang XS26, Kavatsyuk M36, Ke BC1, Keshk IK4, Khan T7,8, Khoukaz A45, Kiese P16, Kiuchi R1, Kliemt R33, Koch L46, Kolcu OB20, Kopf B4, Kornicer M38, Kuemmel M4, Kuessner M4, Kupsc A42, Kurth M1, Kühn W46, Lange JS46, Larin P3, Lavezzi L6, Leiber S4, Leithoff H16, Li C42, Li C7,8, Li DM27, Li F1,7, Li FY12, Li G1, Li HB1,19, Li HJ1,19, Li JC1, Li JW47, Li KJ48, Li K49, Li K1, Li L50, Li PL7,8, Li PR51,19, Li QY40, Li T40, Li WD1,19, Li WG1, Li XL40, Li XN1,7, Li XQ26, Li ZB48, Liang H7,8, Liang YF52, Liang YT46, Liao GR53, Liao LZ1,19, Libby J54, Lin CX48, Lin DX3, Liu B24, Liu BJ1, Liu CX1, Liu D7,8, Liu DY24, Liu FH55, Liu F1, Liu F31, Liu HB34, Liu HL9, Liu HM1,19, Liu H1, Liu H56, Liu JB7,8, Liu JY1,19, Liu KY25, Liu K31, Liu LD12, Liu Q19, Liu SB7,8, Liu X23, Liu YB26, Liu ZA1,7,19, Liu Z16, Long YF12, Lou XC1,7,19, Lu HJ43, Lu JG1,7, Lu Y1, Lu YP1,7, Luo CL35, Luo MX57, Luo T58, Luo XL1,7, Lusso S6, Lyu XR19, Ma FC25, Ma HL1, Ma LL40, Ma MM1,19, Ma QM1, Ma XN26, Ma XY1,7, Ma YM40, Maas FE3, Maggiora M5,6, Maldaner S16, Malik QA41, Mangoni A59, Mao YJ12, Mao ZP1, Marcello S5,6, Meng ZX44, Messchendorp JG36, Mezzadri G28, Min J1,7, Min TJ22, Mitchell RE14, Mo XH1,7,19, Mo YJ31, Morales Morales C3, Muchnoi NY2, Muramatsu H32, Mustafa A4, Nakhoul S33, Nefedov Y10, Nerling F33, Nikolaev IB2, Ning Z1,7, Nisar S60, Niu SL1,7, Niu XY1,19, Olsen SL19, Ouyang Q1,7,19, Pacetti S59, Pan Y7,8, Papenbrock M42, Patteri P11, Pelizaeus M4, Pellegrino J5,6, Peng HP7,8, Peng ZY34, Peters K33, Pettersson J42, Ping JL35, Ping RG1,19, Pitka A4, Poling R32, Prasad V7,8, Qi HR61, Qi M22, Qi TY61, Qian S1,7, Qiao CF19, Qin N18, Qin XS4, Qin ZH1,7, Qiu JF1, Qu SQ26, Rashid KH41, Redmer CF16, Richter M4, Ripka M16, Rivetti A6, Rolo M6, Rong G1,19, Rosner C3, Sarantsev A10, Savrié M28, Schoenning K42, Shan W62, Shan XY7,8, Shao M7,8, Shen CP61, Shen PX26, Shen XY1,19, Sheng HY1, Shi X1,7, Song JJ40, Song WM40, Song XY1, Sosio S5,6, Sowa C4, Spataro S5,6, Sui FF40, Sun GX1, Sun JF37, Sun L18, Sun SS1,19, Sun XH1, Sun YJ7,8, Sun YK7,8, Sun YZ1, Sun ZJ1,7, Sun ZT1, Tan YT7,8, Tang CJ52, Tang GY1, Tang X1, Tiemens M36, Tsednee B13, Uman I63, Wang B1, Wang BL19, Wang CW22, Wang D12, Wang DY12, Wang D19, Wang HH40, Wang K1,7, Wang LL1, Wang LS1, Wang M40, Wang M1,19, Wang P1, Wang PL1, Wang WP7,8, Wang XF1, Wang Y7,8, Wang YF1,7,19, Wang Z1,7, Wang ZG1,7, Wang ZY1, Wang Z1,19, Weber T4, Wei DH53, Weidenkaff P16, Wen SP1, Wiedner U4, Wolke M42, Wu LH1, Wu LJ1,19, Wu Z1,7, Xia L7,8, Xia X40, Xia Y64, Xiao D1, Xiao YJ1,19, Xiao ZJ35, Xie YG1,7, Xie YH31, Xiong XA1,19, Xiu QL1,7, Xu GF1, Xu JJ1,19, Xu L1, Xu QJ49, Xu XP47, Yan F21, Yan L5,6, Yan WB7,8, Yan WC61, Yan YH64, Yang HJ24, Yang HX1, Yang L18, Yang RX7,8, Yang SL1,19, Yang YH22, Yang YX53, Yang Y1,19, Yang ZQ64, Ye M1,7, Ye MH51, Yin JH1, You ZY48, Yu BX1,7,19, Yu CX26, Yu JS23, Yu JS64, Yuan CZ1,19, Yuan Y1, Yuncu A20, Zafar AA41, Zeng Y64, Zhang BX1, Zhang BY1,7, Zhang CC1, Zhang DH1, Zhang HH48, Zhang HY1,7, Zhang J1,19, Zhang JL65, Zhang JQ4, Zhang JW1,7,19, Zhang JY1, Zhang JZ1,19, Zhang K1,19, Zhang L30, Zhang SF22, Zhang TJ24, Zhang XY40, Zhang Y7,8, Zhang YH1,7, Zhang YT7,8, Zhang Y1, Zhang Y1, Zhang Y19, Zhang ZH31, Zhang ZP8, Zhang ZY18, Zhao G1, Zhao JW1,7, Zhao JY1,19, Zhao JZ1,7, Zhao L7,8, Zhao L1, Zhao MG26, Zhao Q1, Zhao SJ27, Zhao TC1, Zhao YB1,7, Zhao ZG7,8, Zhemchugov A10, Zheng B21, Zheng JP1,7, Zheng WJ40, Zheng YH19, Zhong B35, Zhou L1,7, Zhou Q1,19, Zhou X18, Zhou XK7,8, Zhou XR7,8, Zhou XY1, Zhou X64, Zhou X64, Zhu AN1,19, Zhu J26, Zhu J48, Zhu K1, Zhu KJ1,7,19, Zhu S1, Zhu SH39, Zhu XL30, Zhu YC7,8, Zhu YS1,19, Zhu ZA1,19, Zhuang J1,7, Zou BS1, Zou JH1; BESIII Collaboration.

Author information

1
Institute of High Energy Physics, Beijing 100049, People's Republic of China.
2
G.I. Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk 630090, Russia.
3
Helmholtz Institute Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany.
4
Bochum Ruhr-University, D-44780 Bochum, Germany.
5
University of Turin, I-10125 Turin, Italy.
6
INFN, I-10125 Turin, Italy.
7
State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People's Republic of China.
8
University of Science and Technology of China, Hefei 230026, People's Republic of China.
9
Southeast University, Nanjing 211100, People's Republic of China.
10
Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia.
11
INFN Laboratori Nazionali di Frascati, I-00044 Frascati, Italy.
12
Peking University, Beijing 100871, People's Republic of China.
13
Institute of Physics and Technology, Peace Ave. 54B, Ulaanbaatar 13330, Mongolia.
14
Indiana University, Bloomington, Indiana 47405, USA.
15
Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA.
16
Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany.
17
INFN Sezione di Ferrara, I-44122 Ferrara, Italy.
18
Wuhan University, Wuhan 430072, People's Republic of China.
19
University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China.
20
Istanbul Bilgi University, 34060 Eyup, Istanbul, Turkey.
21
University of South China, Hengyang 421001, People's Republic of China.
22
Nanjing University, Nanjing 210093, People's Republic of China.
23
Lanzhou University, Lanzhou 730000, People's Republic of China.
24
Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China.
25
Liaoning University, Shenyang 110036, People's Republic of China.
26
Nankai University, Tianjin 300071, People's Republic of China.
27
Zhengzhou University, Zhengzhou 450001, People's Republic of China.
28
University of Ferrara, I-44122 Ferrara, Italy.
29
University of Eastern Piedmont, I-15121 Alessandria, Italy.
30
Tsinghua University, Beijing 100084, People's Republic of China.
31
Central China Normal University, Wuhan 430079, People's Republic of China.
32
University of Minnesota, Minneapolis, Minnesota 55455, USA.
33
GSI Helmholtzcentre for Heavy Ion Research GmbH, D-64291 Darmstadt, Germany.
34
Guangxi University, Nanning 530004, People's Republic of China.
35
Nanjing Normal University, Nanjing 210023, People's Republic of China.
36
KVI-CART, University of Groningen, NL-9747 AA Groningen, Netherlands.
37
Henan Normal University, Xinxiang 453007, People's Republic of China.
38
University of Hawaii, Honolulu, Hawaii 96822, USA.
39
University of Science and Technology Liaoning, Anshan 114051, People's Republic of China.
40
Shandong University, Jinan 250100, People's Republic of China.
41
University of the Punjab, Lahore-54590, Pakistan.
42
Uppsala University, Box 516, SE-75120 Uppsala, Sweden.
43
Huangshan College, Huangshan 245000, People's Republic of China.
44
University of Jinan, Jinan 250022, People's Republic of China.
45
University of Muenster, Wilhelm-Klemm-Str. 9, 48149 Muenster, Germany.
46
Justus-Liebig-Universitaet Giessen, II. Physikalisches Institut, Heinrich-Buff-Ring 16, D-35392 Giessen, Germany.
47
Soochow University, Suzhou 215006, People's Republic of China.
48
Sun Yat-Sen University, Guangzhou 510275, People's Republic of China.
49
Hangzhou Normal University, Hangzhou 310036, People's Republic of China.
50
Beijing Institute of Petrochemical Technology, Beijing 102617, People's Republic of China.
51
China Center of Advanced Science and Technology, Beijing 100190, People's Republic of China.
52
Sichuan University, Chengdu 610064, People's Republic of China.
53
Guangxi Normal University, Guilin 541004, People's Republic of China.
54
Indian Institute of Technology Madras, Chennai 600036, India.
55
Shanxi University, Taiyuan 030006, People's Republic of China.
56
Henan University of Science and Technology, Luoyang 471003, People's Republic of China.
57
Zhejiang University, Hangzhou 310027, People's Republic of China.
58
Fudan University, Shanghai 200443, People's Republic of China.
59
INFN and University of Perugia, I-06100 Perugia, Italy.
60
COMSATS Institute of Information Technology, Lahore, Defence Road, Off Raiwind Road, 54000 Lahore, Pakistan.
61
Beihang University, Beijing 100191, People's Republic of China.
62
Hunan Normal University, Changsha 410081, People's Republic of China.
63
Near East University, Nicosia, North Cyprus, Mersin 10, Turkey.
64
Hunan University, Changsha 410082, People's Republic of China.
65
Xinyang Normal University, Xinyang 464000, People's Republic of China.

Abstract

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}→π^{-}π^{0}e^{+}ν_{e} and D^{+}→π^{-}π^{+}e^{+}ν_{e}. By performing a partial wave analysis, the π^{+}π^{-} S-wave contribution to D^{+}→π^{-}π^{+}e^{+}ν_{e} is observed to be (25.7±1.6±1.1)% with a statistical significance greater than 10σ, besides the dominant P-wave contribution. This is the first observation of the S-wave contribution. We measure the branching fractions B(D^{0}→ρ^{-}e^{+}ν_{e})=(1.445±0.058±0.039)×10^{-3}, B(D^{+}→ρ^{0}e^{+}ν_{e})=(1.860±0.070±0.061)×10^{-3}, and B(D^{+}→f_{0}(500)e^{+}ν_{e},f_{0}(500)→π^{+}π^{-})=(6.30±0.43±0.32)×10^{-4}. An upper limit of B(D^{+}→f_{0}(980)e^{+}ν_{e},f_{0}(980)→π^{+}π^{-})<2.8×10^{-5} is set at the 90% confidence level. We also obtain the hadronic form factor ratios of D→ρe^{+}ν_{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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