Study of the f_{0}(980) and f_{0}(500) Scalar Mesons through the Decay D_{s}^{+}→π^{+}π^{-}e^{+}ν_{e}.
M Ablikim,M N Achasov,P Adlarson,R Aliberti,A Amoroso,M R An,Q An,Y Bai,O Bakina,I Balossino,Y Ban,V Batozskaya,K Begzsuren,N Berger,M Berlowski,M Bertani,D Bettoni,F Bianchi,E Bianco,J Bloms,A Bortone,I Boyko,R A Briere,A Brueggemann,H Cai,X Cai,A Calcaterra,G F Cao,N Cao,S A Cetin,J F Chang,T T Chang,W L Chang,G R Che,G Chelkov,C Chen,Chao Chen,G Chen,H S Chen,M L Chen,S J Chen,S M Chen,T Chen,X R Chen,X T Chen,Y B Chen,Y Q Chen,Z J Chen,W S Cheng,S K Choi,X Chu,G Cibinetto,S C Coen,F Cossio,J J Cui,H L Dai,J P Dai,A Dbeyssi,R E de Boer,D Dedovich,Z Y Deng,A Denig,I Denysenko,M Destefanis,F De Mori,B Ding,X X Ding,Y Ding,Y Ding,J Dong,L Y Dong,M Y Dong,X Dong,S X Du,Z H Duan,P Egorov,Y L Fan,J Fang,S S Fang,W X Fang,Y Fang,R Farinelli,L Fava,F Feldbauer,G Felici,C Q Feng,J H Feng,K Fischer,M Fritsch,C Fritzsch,C D Fu,J L Fu,Y W Fu,H Gao,Y N Gao,Yang Gao,S Garbolino,I Garzia,P T Ge,Z W Ge,C Geng,E M Gersabeck,A Gilman,K Goetzen,L Gong,W X Gong,W Gradl,S Gramigna,M Greco,M H Gu,Y T Gu,C Y Guan,Z L Guan,A Q Guo,L B Guo,R P Guo,Y P Guo,A Guskov,X T Hou,T T Han,W Y Han,X Q Hao,F A Harris,K K He,K L He,F H Heinsius,C H Heinz,Y K Heng,C Herold,T Holtmann,P C Hong,G Y Hou,Y R Hou,Z L Hou,H M Hu,J F Hu,T Hu,Y Hu,G S Huang,K X Huang,L Q Huang,X T Huang,Y P Huang,T Hussain,N Hüsken,W Imoehl,M Irshad,J Jackson,S Jaeger,S Janchiv,J H Jeong,Q Ji,Q P Ji,X B Ji,X L Ji,Y Y Ji,Z K Jia,P C Jiang,S S Jiang,T J Jiang,X S Jiang,Y Jiang,J B Jiao,Z Jiao,S Jin,Y Jin,M Q Jing,T Johansson,X Kui,S Kabana,N Kalantar-Nayestanaki,X L Kang,X S Kang,R Kappert,M Kavatsyuk,B C Ke,A Khoukaz,R Kiuchi,R Kliemt,L Koch,O B Kolcu,B Kopf,M K Kuessner,A Kupsc,W Kühn,J J Lane,J S Lange,P Larin,A Lavania,L Lavezzi,T T Lei,Z H Lei,H Leithoff,M Lellmann,T Lenz,C Li,C Li,C H Li,Cheng Li,D M Li,F Li,G Li,H Li,H B Li,H J Li,H N Li,Hui Li,J R Li,J S Li,J W Li,Ke Li,L J Li,L K Li,Lei Li,M H Li,P R Li,S X Li,T Li,W D Li,W G Li,X H Li,X L Li,Xiaoyu Li,Y G Li,Z J Li,Z X Li,Z Y Li,C Liang,H Liang,H Liang,H Liang,Y F Liang,Y T Liang,G R Liao,L Z Liao,J Libby,A Limphirat,D X Lin,T Lin,B J Liu,B X Liu,C Liu,C X Liu,D Liu,F H Liu,Fang Liu,Feng Liu,G M Liu,H Liu,H B Liu,H M Liu,Huanhuan Liu,Huihui Liu,J B Liu,J L Liu,J Y Liu,K Liu,K Y Liu,Ke Liu,L Liu,L C Liu,Lu Liu,M H Liu,P L Liu,Q Liu,S B Liu,T Liu,W K Liu,W M Liu,X Liu,Y Liu,Y B Liu,Z A Liu,Z Q Liu,X C Lou,F X Lu,H J Lu,J G Lu,X L Lu,Y Lu,Y P Lu,Z H Lu,C L Luo,M X Luo,T Luo,X L Luo,X R Lyu,Y F Lyu,F C Ma,H L Ma,J L Ma,L L Ma,M M Ma,Q M Ma,R Q Ma,R T Ma,X Y Ma,Y Ma,Y M Ma,F E Maas,M Maggiora,S Maldaner,S Malde,A Mangoni,Y J Mao,Z P Mao,S Marcello,Z X Meng,J G Messchendorp,G Mezzadri,H Miao,T J Min,R E Mitchell,X H Mo,N Yu Muchnoi,Y Nefedov,F Nerling,I B Nikolaev,Z Ning,S Nisar,Y Niu,S L Olsen,Q Ouyang,S Pacetti,X Pan,Y Pan,A Pathak,P Patteri,Y P Pei,M Pelizaeus,H P Peng,K Peters,J L Ping,R G Ping,S Plura,S Pogodin,V Prasad,F Z Qi,H Qi,H R Qi,M Qi,T Y Qi,S Qian,W B Qian,C F Qiao,J J Qin,L Q Qin,X P Qin,X S Qin,Z H Qin,J F Qiu,S Q Qu,C F Redmer,K J 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Zhao,Y X Zhao,Z G Zhao,A Zhemchugov,B Zheng,J P Zheng,W J Zheng,Y H Zheng,B Zhong,X Zhong,H Zhou,L P Zhou,X Zhou,X K Zhou,X R Zhou,X Y Zhou,Y Z Zhou,J Zhu,K Zhu,K J Zhu,L Zhu,L X Zhu,S H Zhu,S Q Zhu,T J Zhu,W J Zhu,Y C Zhu,Z A Zhu,J H Zou,J Zu,BESIII Collaboration
Physical review letters（2024）
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摘要
Using e^{+}e^{-} collision data corresponding to an integrated luminosity of 7.33 fb^{-1} recorded by the BESIII detector at center-of-mass energies between 4.128 and 4.226 GeV, we present an analysis of the decay D_{s}^{+}→π^{+}π^{-}e^{+}ν_{e}, where the D_{s}^{+} is produced via the process e^{+}e^{-}→D_{s}^{*±}D_{s}^{∓}. We observe the f_{0}(980) in the π^{+}π^{-} system and the branching fraction of the decay D_{s}^{+}→f_{0}(980)e^{+}ν_{e} with f_{0}(980)→π^{+}π^{-} measured to be (1.72±0.13_{stat}±0.10_{syst})×10^{-3}, where the uncertainties are statistical and systematic, respectively. The dynamics of the D_{s}^{+}→f_{0}(980)e^{+}ν_{e} decay are studied with the simple pole parametrization of the hadronic form factor and the Flatté formula describing the f_{0}(980) in the differential decay rate, and the product of the form factor f_{+}^{f_{0}}(0) and the c→s Cabibbo-Kobayashi-Maskawa matrix element |V_{cs}| is determined for the first time to be f_{+}^{f_{0}}(0)|V_{cs}|=0.504±0.017_{stat}±0.035_{syst}. Furthermore, the decay D_{s}^{+}→f_{0}(500)e^{+}ν_{e} is searched for the first time but no signal is found. The upper limit on the branching fraction of D_{s}^{+}→f_{0}(500)e^{+}ν_{e}, f_{0}(500)→π^{+}π^{-} decay is set to be 3.3×10^{-4} at 90% confidence level.
