Open Access

First Amplitude Analysis of $D^{0} \to K^{-} π^{0} e^{+} ν_{e}$ and Observation of $D^{0} \to K_{2}^{*} (1430)^{-} e^{+} ν_{e}$

M. Ablikim ¹, M. N. Achasov ^4,b, P. Adlarson ⁸¹, X. C. Ai ⁸⁶, R. Aliberti ³⁸, A. Amoroso ^80a,80c, Q. An^77,63,†, Y. Bai ⁶¹, O. Bakina ³⁹ et al. (BESIII Collaboration)

O. Bakina ³⁹, Y. Ban ^49,g, H.-R. Bao ⁶⁹, V. Batozskaya ^1,47, K. Begzsuren³⁵, N. Berger ³⁸, M. Berlowski ⁴⁷, M. B. Bertani ^30a, D. Bettoni ^31a, F. Bianchi ^80a,80c, E. Bianco^80a,80c, A. Bortone ^80a,80c, I. Boyko ³⁹, R. A. Briere⁵, A. Brueggemann ⁷⁴, H. Cai ⁸², M. H. Cai ^41,j,k, X. Cai ^1,63, A. Calcaterra ^30a, G. F. Cao ^1,69, N. Cao ^1,69, S. A. Cetin ^67a, X. Y. Chai ^49,g, J. F. Chang ^1,63, T. T. Chang ⁴⁶, G. R. Che ⁴⁶, Y. Z. Che ^1,63,69, C. H. Chen ¹⁰, Chao Chen ⁵⁹, G. Chen ¹, H. S. Chen ^1,69, H. Y. Chen ²¹, M. L. Chen ^1,63,69, S. J. Chen ⁴⁵, S. M. Chen ⁶⁶, T. Chen ^1,69, X. R. Chen ^34,69, X. T. Chen ^1,69, X. Y. Chen ^12,f, Y. B. Chen ^1,63, Y. Q. Chen¹⁶, Z. K. Chen ⁶⁴, Haoyang Cheng ²⁷, J. C. Cheng ⁴⁸, L. N. Cheng ⁴⁶, S. K. Choi ¹¹, X. Chu ^12,f, G. Cibinetto ^31a, F. Cossio ^80c, J. Cottee-Meldrum⁶⁸, H. L. Dai ^1,63, J. P. Dai ⁸⁴, Lingyun Dai ^27,h, X. C. Dai ⁶⁶, A. Dbeyssi¹⁹, R. E. de Boer ³, D. Dedovich ³⁹, C. Q. Deng ⁷⁸, Z. Y. Deng ¹, A. Denig ³⁸, I. Denisenko ³⁹, M. Destefanis ^80a,80c, F. De Mori ^80a,80c, X. X. Ding ^49,g, Y. Ding ⁴³, Y. X. Ding ³², J. Dong ^1,63, L. Y. Dong ^1,69, M. Y. Dong ^1,63,69, X. Dong ⁸², M. C. Du ¹, S. X. Du ⁸⁶, S. X. Du ^12,f, X. L. Du ⁸⁶, Y. Y. Duan ⁵⁹, Z. H. Duan ⁴⁵, P. Egorov ^39,a, G. F. Fan ⁴⁵, J. J. Fan ²⁰, Y. H. Fan ⁴⁸, J. Fang ^1,63, J. Fang ⁶⁴, S. S. Fang ^1,69, W. X. Fang ¹, Y. Q. Fang^1,63,†, L. Fava ^80b,80c, F. Feldbauer ³, G. Felici ^30a, C. Q. Feng ^77,63, J. H. Feng¹⁶, L. Feng ^41,j,k, Q. X. Feng ^41,j,k, Y. T. Feng ^77,63, M. Fritsch ³, C. D. Fu ¹, J. L. Fu ⁶⁹, Y. W. Fu ^1,69, H. Gao ⁶⁹, Y. Gao ^77,63, Y. N. Gao ^49,g, Y. N. Gao ²⁰, Y. Y. Gao ³², Z. Gao ⁴⁶, S. Garbolino ^80c, I. Garzia ^31a,30b, L. Ge ⁶¹, P. T. Ge ²⁰, Z. W. Ge ⁴⁵, C. Geng ⁶⁴, E. M. Gersabeck⁷³, A. Gilman ⁷⁵, K. Goetzen ¹³, J. D. Gong ³⁷, L. Gong ⁴³, W. X. Gong ^1,63, W. Gradl ³⁸, S. Gramigna ^31a,30b, M. Greco ^80a,80c, M. D. Gu ⁵⁴, M. H. Gu ^1,63, C. Y. Guan ^1,69, A. Q. Guo ³⁴, J. N. Guo ^12,f, L. B. Guo⁴⁴, M. J. Guo ⁵³, R. P. Guo ⁵², X. Guo ⁵³, Y. P. Guo ^12,f, A. Guskov ^39,a, J. Gutierrez ²⁹, T. T. Han ¹, F. Hanisch ³, K. D. Hao ^77,63, X. Q. Hao ²⁰, F. A. Harris ⁷¹, C. Z. He ^49,g, K. L. He ^1,69, F. H. Heinsius ³, C. H. Heinz³⁸, Y. K. Heng ^1,63,69, C. Herold ⁶⁵, P. C. Hong ³⁷, G. Y. Hou ^1,69, X. T. Hou ^1,69, Y. R. Hou ⁶⁹, Z. L. Hou ¹, H. M. Hu ^1,69, J. F. Hu ^60,i, Q. P. Hu ^77,63, S. L. Hu ^12,f, T. Hu ^1,63,69, Y. Hu ¹, Z. M. Hu ⁶⁴, G. S. Huang ^77,63, K. X. Huang ⁶⁴, L. Q. Huang ^34,69, P. Huang ⁴⁵, X. T. Huang ⁵³, Y. P. Huang ¹, Y. S. Huang ⁶⁴, T. Hussain ⁷⁹, N. Hüsken ³⁸, N. in der Wiesche ⁷⁴, J. Jackson ²⁹, Q. Ji ¹, Q. P. Ji ²⁰, W. Ji ^1,69, X. B. Ji ^1,69, X. L. Ji ^1,63, X. Q. Jia ⁵³, Z. K. Jia ^77,63, D. Jiang ^1,69, H. B. Jiang ⁸², P. C. Jiang ^49,g, S. J. Jiang ¹⁰, X. S. Jiang ^1,63,69, Y. Jiang ⁶⁹, J. B. Jiao ⁵³, J. K. Jiao ³⁷, Z. Jiao ²⁵, S. Jin ⁴⁵, Y. Jin ⁷², M. Q. Jing ^1,69, X. M. Jing ⁶⁹, T. Johansson ⁸¹, S. Kabana ³⁶, N. Kalantar-Nayestanaki⁷⁰, X. L. Kang ¹⁰, X. S. Kang ⁴³, M. Kavatsyuk⁷⁰, B. C. Ke ⁸⁶, V. Khachatryan ²⁹, A. Khoukaz ⁷⁴, O. B. Kolcu ^67a, B. Kopf ³, L. Kröger ⁷⁴, M. Kuessner ³, X. Kui ^1,69, N. Kumar ²⁸, A. Kupsc ^47,81, W. Kühn⁴⁰, Q. Lan ⁷⁸, W. N. Lan ²⁰, T. T. Lei ^77,63, M. Lellmann ³⁸, T. Lenz ³⁸, C. Li ⁵⁰, C. Li ⁴⁶, C. H. Li⁴⁴, C. K. Li ²¹, D. M. Li ⁸⁶, F. Li ^1,63, G. Li ¹, H. B. Li ^1,69, H. J. Li ²⁰, H. L. Li ⁸⁶, H. N. Li ^60,i, Hui Li ⁴⁶, J. R. Li ⁶⁶, J. S. Li ⁶⁴, J. W. Li ⁵³, K. Li ¹, K. L. Li ^41,j,k, L. J. Li ^1,69, Lei Li ⁵¹, M. H. Li ⁴⁶, M. R. Li ^1,69, P. L. Li ⁶⁹, P. R. Li ^41,j,k, Q. M. Li ^1,69, Q. X. Li ⁵³, R. Li ^18,34, S. X. Li ¹², Shanshan Li^27,h, T. Li ⁵³, T. Y. Li ⁴⁶, W. D. Li ^1,69, W. G. Li ^1,†, X. Li ^1,69, X. H. Li ^77,63, X. K. Li ^49,g, X. L. Li ⁵³, X. Y. Li ^1,9, X. Z. Li ⁶⁴, Y. Li ²⁰, Y. G. Li ^49,g, Y. P. Li ³⁷, Z. H. Li ⁴¹, Z. J. Li ⁶⁴, Z. X. Li ⁴⁶, Z. Y. Li ⁸⁴, C. Liang ⁴⁵, H. Liang ^77,63, Y. F. Liang ⁵⁸, Y. T. Liang ^34,69, G. R. Liao ¹⁴, L. B. Liao ⁶⁴, M. H. Liao ⁶⁴, Y. P. Liao ^1,69, J. Libby ²⁸, A. Limphirat ⁶⁵, D. X. Lin ^34,69, L. Q. Lin⁴², T. Lin ¹, B. J. Liu ¹, B. X. Liu ⁸², C. X. Liu ¹, F. Liu ¹, F. H. Liu ⁵⁷, Feng Liu ⁶, G. M. Liu ^60,i, H. Liu ^41,j,k, H. B. Liu¹⁵, H. H. Liu ¹, H. M. Liu ^1,69, Huihui Liu ²², J. B. Liu ^77,63, J. J. Liu ²¹, K. Liu ^41,j,k, K. Liu ⁷⁸, K. Y. Liu ⁴³, Ke Liu²³, L. Liu ⁴¹, L. C. Liu ⁴⁶, Lu Liu ⁴⁶, M. H. Liu ³⁷, P. L. Liu ¹, Q. Liu ⁶⁹, S. B. Liu ^77,63, W. M. Liu ^77,63, W. T. Liu⁴², X. Liu ^41,j,k, X. K. Liu ^41,j,k, X. L. Liu ^12,f, X. Y. Liu ⁸², Y. Liu ^41,j,k, Y. Liu ⁸⁶, Y. B. Liu ⁴⁶, Z. A. Liu ^1,63,69, Z. D. Liu ¹⁰, Z. Q. Liu ⁵³, Z. Y. Liu ⁴¹, X. C. Lou ^1,63,69, H. J. Lu ²⁵, J. G. Lu ^1,63, X. L. Lu¹⁶, Y. Lu ⁷, Y. H. Lu ^1,69, Y. P. Lu ^1,63, Z. H. Lu ^1,69, C. L. Luo⁴⁴, J. R. Luo ⁶⁴, J. S. Luo ^1,69, M. X. Luo⁸⁵, T. Luo ^12,f, X. L. Luo ^1,63, Z. Y. Lv²³, X. R. Lyu ^69,n, Y. F. Lyu ⁴⁶, Y. H. Lyu ⁸⁶, F. C. Ma⁴³, H. L. Ma ¹, Heng Ma ^27,h, J. L. Ma ^1,69, L. L. Ma ⁵³, L. R. Ma ⁷², Q. M. Ma ¹, R. Q. Ma ^1,69, R. Y. Ma ²⁰, T. Ma ^77,63, X. T. Ma ^1,69, X. Y. Ma ^1,63, Y. M. Ma ³⁴, F. E. Maas¹⁹, I. MacKay ⁷⁵, M. Maggiora ^80a,80c, S. Malde ⁷⁵, Q. A. Malik ⁷⁹, H. X. Mao ^41,j,k, Y. J. Mao ^49,g, Z. P. Mao¹, S. Marcello ^80a,80c, A. Marshall⁶⁸, F. M. Melendi ^31a,30b, Y. H. Meng ⁶⁹, Z. X. Meng ⁷², G. Mezzadri ^31a, H. Miao ^1,69, T. J. Min ⁴⁵, R. E. Mitchell ²⁹, X. H. Mo ^1,63,69, B. Moses ²⁹, N. Yu. Muchnoi ^4,b, J. Muskalla ³⁸, Y. Nefedov ³⁹, F. Nerling^19,d, H. Neuwirth ⁷⁴, Z. Ning ^1,63, S. Nisar³³, Q. L. Niu ^41,j,k, W. D. Niu ^12,f, Y. Niu ⁵³, C. Normand⁶⁸, S. L. Olsen ^11,69, Q. Ouyang ^1,63,69, S. Pacetti ^30b,30c, X. Pan ⁵⁹, Y. Pan ⁶¹, A. Pathak ¹¹, Y. P. Pei ^77,63, M. Pelizaeus³, H. P. Peng ^77,63, X. J. Peng ^41,j,k, Y. Y. Peng ^41,j,k, K. Peters ^13,d, K. Petridis⁶⁸, J. L. Ping⁴⁴, R. G. Ping ^1,69, S. Plura ³⁸, V. Prasad ³⁷, F. Z. Qi ¹, H. R. Qi⁶⁶, M. Qi ⁴⁵, S. Qian ^1,63, W. B. Qian ⁶⁹, C. F. Qiao ⁶⁹, J. H. Qiao ²⁰, J. J. Qin ⁷⁸, J. L. Qin ⁵⁹, L. Q. Qin ¹⁴, L. Y. Qin ^77,63, P. B. Qin ⁷⁸, X. P. Qin⁴², X. S. Qin ⁵³, Z. H. Qin ^1,63, J. F. Qiu ¹, Z. H. Qu ⁷⁸, J. Rademacker⁶⁸, C. F. Redmer ³⁸, A. Rivetti ^80c, M. Rolo^80c, G. Rong ^1,69, S. S. Rong ^1,69, F. Rosini ^30b,30c, Ch. Rosner¹⁹, M. Q. Ruan ^1,63, N. Salone ^47,o, A. Sarantsev ^39,c, Y. Schelhaas ³⁸, K. Schoenning ⁸¹, M. Scodeggio ^31a, W. Shan ²⁶, X. Y. Shan ^77,63, Z. J. Shang ^41,j,k, J. F. Shangguan ¹⁷, L. G. Shao ^1,69, M. Shao ^77,63, C. P. Shen ^12,f, H. F. Shen ^1,9, W. H. Shen ⁶⁹, X. Y. Shen ^1,69, B. A. Shi ⁶⁹, H. Shi ^77,63, J. L. Shi ^8,p, J. Y. Shi ¹, S. Y. Shi ⁷⁸, X. Shi ^1,63, H. L. Song ^77,63, J. J. Song ²⁰, M. H. Song ⁴¹, T. Z. Song ⁶⁴, W. M. Song ³⁷, Y. X. Song ^49,g,l, Zirong Song^27,h, S. Sosio ^80a,80c, S. Spataro ^80a,80c, S. Stansilaus⁷⁵, F. Stieler ³⁸, S. S. Su⁴³, G. B. Sun ⁸², G. X. Sun ¹, H. Sun ⁶⁹, H. K. Sun ¹, J. F. Sun ²⁰, K. Sun ⁶⁶, L. Sun ⁸², R. Sun ⁷⁷, S. S. Sun ^1,69, T. Sun ^55,e, W. Y. Sun ⁵⁴, Y. C. Sun ⁸², Y. H. Sun ³², Y. J. Sun ^77,63, Y. Z. Sun ¹, Z. Q. Sun ^1,69, Z. T. Sun ⁵³, C. J. Tang ⁵⁸, G. Y. Tang ¹, J. Tang ⁶⁴, J. J. Tang ^77,63, L. F. Tang⁴², Y. A. Tang ⁸², L. Y. Tao ⁷⁸, M. Tat ⁷⁵, J. X. Teng ^77,63, J. Y. Tian ^77,63, W. H. Tian ⁶⁴, Y. Tian ³⁴, Z. F. Tian ⁸², I. Uman ^67b, B. Wang ¹, B. Wang ⁶⁴, Bo Wang ^77,63, C. Wang ^41,j,k, C. Wang ²⁰, Cong Wang²³, D. Y. Wang ^49,g, H. J. Wang ^41,j,k, J. Wang ¹⁰, J. J. Wang ⁸², J. P. Wang ⁵³, K. Wang ^1,63, L. L. Wang ¹, L. W. Wang³⁷, M. Wang ⁵³, M. Wang ^77,63, N. Y. Wang ⁶⁹, S. Wang ^41,j,k, Shun Wang ⁶², T. Wang ^12,f, T. J. Wang ⁴⁶, W. Wang ⁶⁴, W. P. Wang ³⁸, X. Wang ^49,g, X. F. Wang ^41,j,k, X. L. Wang ^12,f, X. N. Wang ^1,69, Xin Wang^27,h, Y. Wang ¹, Y. D. Wang ⁴⁸, Y. F. Wang ^1,9,69, Y. H. Wang ^41,j,k, Y. J. Wang ^77,63, Y. L. Wang ²⁰, Y. N. Wang ⁴⁸, Y. N. Wang ⁸², Yaqian Wang ¹⁸, Yi Wang ⁶⁶, Yuan Wang ^18,34, Z. Wang ^1,63, Z. Wang ⁴⁶, Z. L. Wang ², Z. Q. Wang ^12,f, Z. Y. Wang ^1,69, Ziyi Wang ⁶⁹, D. Wei ⁴⁶, D. H. Wei ¹⁴, H. R. Wei ⁴⁶, F. Weidner ⁷⁴, S. P. Wen ¹, U. Wiedner ³, G. Wilkinson ⁷⁵, M. Wolke⁸¹, J. F. Wu ^1,9, L. H. Wu ¹, L. J. Wu ²⁰, Lianjie Wu ²⁰, S. G. Wu ^1,69, S. M. Wu ⁶⁹, X. Wu ^12,f, Y. J. Wu ³⁴, Z. Wu ^1,63, L. Xia ^77,63, B. H. Xiang ^1,69, D. Xiao ^41,j,k, G. Y. Xiao ⁴⁵, H. Xiao ⁷⁸, Y. L. Xiao ^12,f, Z. J. Xiao ⁴⁴, C. Xie ⁴⁵, K. J. Xie ^1,69, Y. Xie ⁵³, Y. G. Xie ^1,63, Y. H. Xie ⁶, Z. P. Xie ^77,63, T. Y. Xing ^1,69, C. F. Xu⁶⁴, G. F. Xu ¹, H. Y. Xu ², M. Xu ^77,63, Q. J. Xu ¹⁷, Q. N. Xu ³², T. D. Xu ⁷⁸, X. P. Xu ⁵⁹, Y. Xu ^12,f, Y. C. Xu ⁸³, Z. S. Xu ⁶⁹, F. Yan ²⁴, L. Yan ^12,f, W. B. Yan ^77,63, W. C. Yan ⁸⁶, W. H. Yan ⁶, W. P. Yan ²⁰, X. Q. Yan ^1,69, H. J. Yang ^55,e, H. L. Yang ³⁷, H. X. Yang ¹, J. H. Yang ⁴⁵, R. J. Yang ²⁰, Y. Yang ^12,f, Y. H. Yang ⁴⁵, Y. Q. Yang ¹⁰, Y. Z. Yang ²⁰, Z. P. Yao ⁵³, M. Ye ^1,63, M. H. Ye^9,†, Z. J. Ye ^60,i, Junhao Yin ⁴⁶, Z. Y. You ⁶⁴, B. X. Yu ^1,63,69, C. X. Yu ⁴⁶, G. Yu ¹³, J. S. Yu^27,h, L. W. Yu ^12,f, T. Yu ⁷⁸, X. D. Yu ^49,g, Y. C. Yu ⁸⁶, Y. C. Yu ⁴¹, C. Z. Yuan ^1,69, H. Yuan ^1,69, J. Yuan ³⁷, J. Yuan ⁴⁸, L. Yuan ², M. K. Yuan ^12,f, S. H. Yuan ⁷⁸, Y. Yuan ^1,69, C. X. Yue⁴², Ying Yue ²⁰, A. A. Zafar ⁷⁹, F. R. Zeng ⁵³, S. H. Zeng⁶⁸, X. Zeng ^12,f, Y. J. Zeng ⁶⁴, Y. J. Zeng ^1,69, Y. C. Zhai ⁵³, Y. H. Zhan ⁶⁴, S. N. Zhang⁷⁵, B. L. Zhang ^1,69, B. X. Zhang ^1,†, D. H. Zhang ⁴⁶, G. Y. Zhang ²⁰, G. Y. Zhang ^1,69, H. Zhang ^77,63, H. Zhang ⁸⁶, H. C. Zhang ^1,63,69, H. H. Zhang ⁶⁴, H. Q. Zhang ^1,63,69, H. R. Zhang ^77,63, H. Y. Zhang ^1,63, J. Zhang ⁶⁴, J. J. Zhang ⁵⁶, J. L. Zhang ²¹, J. Q. Zhang⁴⁴, J. S. Zhang ^12,f, J. W. Zhang ^1,63,69, J. X. Zhang ^41,j,k, J. Y. Zhang ¹, J. Z. Zhang ^1,69, Jianyu Zhang ⁶⁹, L. M. Zhang ⁶⁶, Lei Zhang ⁴⁵, N. Zhang ⁸⁶, P. Zhang ^1,9, Q. Zhang ²⁰, Q. Y. Zhang ³⁷, R. Y. Zhang ^41,j,k, S. H. Zhang ^1,69, Shulei Zhang ^27,h, X. M. Zhang ¹, X. Y. Zhang ⁵³, Y. Zhang ¹, Y. Zhang ⁷⁸, Y. T. Zhang ⁸⁶, Y. H. Zhang ^1,63, Y. P. Zhang ^77,63, Z. D. Zhang ¹, Z. H. Zhang ¹, Z. L. Zhang ³⁷, Z. L. Zhang ⁵⁹, Z. X. Zhang ²⁰, Z. Y. Zhang ⁸², Z. Y. Zhang ⁴⁶, Z. Z. Zhang ⁴⁸, Zh. Zh. Zhang ²⁰, G. Zhao ¹, J. Y. Zhao ^1,69, J. Z. Zhao ^1,63, L. Zhao ¹, L. Zhao ^77,63, M. G. Zhao ⁴⁶, S. J. Zhao ⁸⁶, Y. B. Zhao ^1,63, Y. L. Zhao ⁵⁹, Y. X. Zhao ^34,69, Z. G. Zhao ^77,63, A. Zhemchugov ^39,a, B. Zheng ⁷⁸, B. M. Zheng ³⁷, J. P. Zheng ^1,63, W. J. Zheng ^1,69, X. R. Zheng ²⁰, Y. H. Zheng ^69,n, B. Zhong ⁴⁴, C. Zhong ²⁰, H. Zhou ^38,53,m, J. Q. Zhou ³⁷, S. Zhou ⁶, X. Zhou ⁸², X. K. Zhou ⁶, X. R. Zhou ^77,63, X. Y. Zhou⁴², Y. X. Zhou ⁸³, Y. Z. Zhou ^12,f, A. N. Zhu ⁶⁹, J. Zhu ⁴⁶, K. Zhu ¹, K. J. Zhu ^1,63,69, K. S. Zhu ^12,f, L. Zhu ³⁷, L. X. Zhu ⁶⁹, S. H. Zhu ⁷⁶, T. J. Zhu ^12,f, W. D. Zhu ^12,f, W. J. Zhu ¹, W. Z. Zhu ²⁰, Y. C. Zhu ^77,63, Z. A. Zhu ^1,69, X. Y. Zhuang ⁴⁶, J. H. Zou ¹, and J. Zu ^77,63 (BESIII Collaboration)

¹Institute of High Energy Physics, Beijing 100049, People’s Republic of China
²Beihang University, Beijing 100191, People’s Republic of China
³Bochum Ruhr-University, D-44780 Bochum, Germany
⁴Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk 630090, Russia
⁵Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
⁶Central China Normal University, Wuhan 430079, People’s Republic of China
⁷Central South University, Changsha 410083, People’s Republic of China
⁸Chengdu University of Technology, Chengdu 610059, People’s Republic of China
⁹China Center of Advanced Science and Technology, Beijing 100190, People’s Republic of China
¹⁰China University of Geosciences, Wuhan 430074, People’s Republic of China
¹¹Chung-Ang University, Seoul, 06974, Republic of Korea
¹²Fudan University, Shanghai 200433, People’s Republic of China
¹³GSI Helmholtzcentre for Heavy Ion Research GmbH, D-64291 Darmstadt, Germany
¹⁴Guangxi Normal University, Guilin 541004, People’s Republic of China
¹⁵Guangxi University, Nanning 530004, People’s Republic of China
¹⁶Guangxi University of Science and Technology, Liuzhou 545006, People’s Republic of China
¹⁷Hangzhou Normal University, Hangzhou 310036, People’s Republic of China
¹⁸Hebei University, Baoding 071002, People’s Republic of China
¹⁹Helmholtz Institute Mainz, Staudinger Weg 18, D-55099 Mainz, Germany
²⁰Henan Normal University, Xinxiang 453007, People’s Republic of China
²¹Henan University, Kaifeng 475004, People’s Republic of China
²²Henan University of Science and Technology, Luoyang 471003, People’s Republic of China
²³Henan University of Technology, Zhengzhou 450001, People’s Republic of China
²⁴Hengyang Normal University, Hengyang 421001, People’s Republic of China
²⁵Huangshan College, Huangshan 245000, People’s Republic of China
²⁶Hunan Normal University, Changsha 410081, People’s Republic of China
²⁷Hunan University, Changsha 410082, People’s Republic of China
²⁸Indian Institute of Technology Madras, Chennai 600036, India
²⁹Indiana University, Bloomington, Indiana 47405, USA
^30aINFN Laboratori Nazionali di Frascati, I-00044, Frascati, Italy
^30bINFN Sezione di Perugia, I-06100, Perugia, Italy
^30cUniversity of Perugia, I-06100, Perugia, Italy
^31aINFN Sezione di Ferrara, I-44122, Ferrara, Italy
^30bUniversity of Ferrara, I-44122, Ferrara, Italy
³²Inner Mongolia University, Hohhot 010021, People’s Republic of China
³³Institute of Business Administration, University Road, Karachi, 75270 Pakistan
³⁴Institute of Modern Physics, Lanzhou 730000, People’s Republic of China
³⁵Institute of Physics and Technology, Mongolian Academy of Sciences, Peace Avenue 54B, Ulaanbaatar 13330, Mongolia
³⁶Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica 1000000, Chile
³⁷Jilin University, Changchun 130012, People’s Republic of China
³⁸Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany
³⁹Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia
⁴⁰Justus-Liebig-Universitaet Giessen, II. Physikalisches Institut, Heinrich-Buff-Ring 16, D-35392 Giessen, Germany
⁴¹Lanzhou University, Lanzhou 730000, People’s Republic of China
⁴²Liaoning Normal University, Dalian 116029, People’s Republic of China
⁴³Liaoning University, Shenyang 110036, People’s Republic of China
⁴⁴Nanjing Normal University, Nanjing 210023, People’s Republic of China
⁴⁵Nanjing University, Nanjing 210093, People’s Republic of China
⁴⁶Nankai University, Tianjin 300071, People’s Republic of China
⁴⁷National Centre for Nuclear Research, Warsaw 02-093, Poland
⁴⁸North China Electric Power University, Beijing 102206, People’s Republic of China
⁴⁹Peking University, Beijing 100871, People’s Republic of China
⁵⁰Qufu Normal University, Qufu 273165, People’s Republic of China
⁵¹Renmin University of China, Beijing 100872, People’s Republic of China
⁵²Shandong Normal University, Jinan 250014, People’s Republic of China
⁵³Shandong University, Jinan 250100, People’s Republic of China
⁵⁴Shandong University of Technology, Zibo 255000, People’s Republic of China
⁵⁵Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China
⁵⁶Shanxi Normal University, Linfen 041004, People’s Republic of China
⁵⁷Shanxi University, Taiyuan 030006, People’s Republic of China
⁵⁸Sichuan University, Chengdu 610064, People’s Republic of China
⁵⁹Soochow University, Suzhou 215006, People’s Republic of China
⁶⁰South China Normal University, Guangzhou 510006, People’s Republic of China
⁶¹Southeast University, Nanjing 211100, People’s Republic of China
⁶²Southwest University of Science and Technology, Mianyang 621010, People’s Republic of China
⁶³State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People’s Republic of China
⁶⁴Sun Yat-Sen University, Guangzhou 510275, People’s Republic of China
⁶⁵Suranaree University of Technology, University Avenue 111, Nakhon Ratchasima 30000, Thailand
⁶⁶Tsinghua University, Beijing 100084, People’s Republic of China
^67aTurkish Accelerator Center Particle Factory Group, Istinye University, 34010, Istanbul, Turkey
^67bNear East University, Nicosia, North Cyprus, 99138, Mersin 10, Turkey
⁶⁸University of Bristol, H H Wills Physics Laboratory, Tyndall Avenue, Bristol, BS8 1TL, United Kingdom
⁶⁹University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
⁷⁰University of Groningen, NL-9747 AA Groningen, The Netherlands
⁷¹University of Hawaii, Honolulu, Hawaii 96822, USA
⁷²University of Jinan, Jinan 250022, People’s Republic of China
⁷³University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
⁷⁴University of Muenster, Wilhelm-Klemm-Strasse 9, 48149 Muenster, Germany
⁷⁵University of Oxford, Keble Road, Oxford OX13RH, United Kingdom
⁷⁶University of Science and Technology Liaoning, Anshan 114051, People’s Republic of China
⁷⁷University of Science and Technology of China, Hefei 230026, People’s Republic of China
⁷⁸University of South China, Hengyang 421001, People’s Republic of China
⁷⁹University of the Punjab, Lahore-54590, Pakistan
^80aUniversity of Turin, I-10125, Turin, Italy
^80bUniversity of Eastern Piedmont, I-15121, Alessandria, Italy
^80cINFN, I-10125, Turin, Italy
⁸¹Uppsala University, Box 516, SE-75120 Uppsala, Sweden
⁸²Wuhan University, Wuhan 430072, People’s Republic of China
⁸³Yantai University, Yantai 264005, People’s Republic of China
⁸⁴Yunnan University, Kunming 650500, People’s Republic of China
⁸⁵Zhejiang University, Hangzhou 310027, People’s Republic of China
⁸⁶Zhengzhou University, Zhengzhou 450001, People’s Republic of China

^*Full author list given at the end of the Letter.
^†Deceased.
^aAlso at the Moscow Institute of Physics and Technology, Moscow 141700, Russia.
^bAlso at the Novosibirsk State University, Novosibirsk, 630090, Russia.
^cAlso at the NRC “Kurchatov Institute,” PNPI, 188300, Gatchina, Russia.
^dAlso at Goethe University Frankfurt, 60323 Frankfurt am Main, Germany.
^eAlso at Key Laboratory for Particle Physics, Astrophysics and Cosmology, Ministry of Education; Shanghai Key Laboratory for Particle Physics and Cosmology; Institute of Nuclear and Particle Physics, Shanghai 200240, People’s Republic of China.
^fAlso at Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Fudan University, Shanghai 200443, People’s Republic of China.
^gAlso at State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, People’s Republic of China.
^hAlso at School of Physics and Electronics, Hunan University, Changsha 410082, China.
ⁱAlso at Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China.
^jAlso at MOE Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, People’s Republic of China.
^kAlso at Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, People’s Republic of China.
^lAlso at Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
^mAlso at Helmholtz Institute Mainz, Staudinger Weg 18, D-55099 Mainz, Germany.
ⁿAlso at Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou 310024, China.
^oCurrently at Silesian University in Katowice, Chorzow, 41-500, Poland.
^pAlso at Applied Nuclear Technology in Geosciences Key Laboratory of Sichuan Province, Chengdu University of Technology, Chengdu 610059, People’s Republic of China.

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Phys. Rev. Lett. 137, 191903 – Published 3 November, 2026

DOI: https://doi.org/10.1103/ngfq-f3t7

Abstract

We present the first amplitude analysis of the semileptonic decay $D^{0} \to K^{-} π^{0} e^{+} ν_{e}$ by analyzing $e^{+} e^{-}$ annihilation data corresponding to an integrated luminosity of $20.3 {fb}^{- 1}$ collected at the center-of-mass energy of 3.773 GeV with the BESIII detector. A tiny $D$ -wave component of the $K_{2}^{*} (1430)^{-}$ accounting for $(0.157 \pm 0.05 6_{stat} \pm 0.04 2_{syst}) %$ of the $K^{-} π^{0}$ is observed for the first time with a significance of $7.9 σ$ in addition to the dominant $P$ -wave component of $K^{*} (892)^{-}$ and the subdominant $K^{-} π^{0}$ $S$ -wave. The hadronic form factors of the $D^{0} \to K^{*} (892)^{-}$ transition are measured precisely as $r_{V} = V (0) / A_{1} (0) = 1.432 \pm 0.05 0_{stat} \pm 0.01 7_{syst}$ and $r_{2} = A_{2} (0) / A_{1} (0) = 0.786 \pm 0.03 7_{stat} \pm 0.02 7_{syst}$ . The branching fraction of $D^{0} \to K^{*} (892)^{-} e^{+} ν_{e}$ with $K^{*} (892)^{-} \to K^{-} π^{0}$ is measured to be $(7.445 \pm 0.06 1_{stat} \pm 0.04 8_{syst}) \times 10^{- 3}$ . Combining the measurements of the $D^{0} \to K^{*} (892)^{-} (K^{*} (892)^{-} \to K^{-} π^{0}) ℓ^{+} ν_{ℓ}$ , lepton flavor universality is tested by the ratio $R_{LFU} = B (D^{0} \to K^{*} (892)^{-} μ^{+} ν_{μ}) / B (D^{0} \to K^{*} (892)^{-} e^{+} ν_{e}) = 0.928 \pm 0.02 0_{stat} \pm 0.01 2_{syst}$ with unprecedented precision; no violation is found. Furthermore, isospin symmetry in the $K^{*} (892)^{-}$ decay is tested by $R_{K^{* -}} = B (K^{*} (892)^{-} \to K^{-} π^{0}) / B (K^{*} (892)^{-} \to K_{S}^{0} π^{-}) = 1.087 \pm 0.01 3_{stat} \pm 0.00 9_{syst}$ for the first time using the latest measurement of $D^{0} \to K^{*} (892)^{-} e^{+} ν_{e}$ with $K^{*} (892)^{-} \to K_{S}^{0} π^{-}$ . Finally, the phase shift of the $K π$ $S$ -wave is extracted in a model-independent way, which sheds light on the nature of the lightest strange scalar meson $K_{0}^{*} (700)$ .

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Phys. Rev. Lett. 137, 191903– Published 3 November, 2026

Vol. 137, Iss. 19 — 6 November 2026

Received 4 March 2026
Revised 6 August 2026
Accepted 17 September 2026

DOI: https://doi.org/10.1103/ngfq-f3t7

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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First Amplitude Analysis of $D^{0} \to K^{-} π^{0} e^{+} ν_{e}$ and Observation of $D^{0} \to K_{2}^{*} (1430)^{-} e^{+} ν_{e}$

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First Amplitude Analysis of D0→K−π0e+νe and Observation of D0→K2*(1430)−e+νe

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First Amplitude Analysis of $D^{0} \to K^{-} π^{0} e^{+} ν_{e}$ and Observation of $D^{0} \to K_{2}^{*} (1430)^{-} e^{+} ν_{e}$