Observation of the W-Annihilation Process D_{s}^{+}→ωρ^{+} and Measurement of D_{s}^{+}→ϕρ^{+} in D_{s}^{+}→π^{+}π^{+}π^{-}π^{0}π^{0} Decays.

Journal: Physical Review Letters
Published:
Abstract

We present the first amplitude analysis and branching fraction measurement of the decay D_{s}^{+}→π^{+}π^{+}π^{-}π^{0}π^{0}, using e^{+}e^{-} collision data collected with the BESIII detector at center-of-mass energies between 4.128 and 4.226 GeV corresponding to an integrated luminosity of 7.33  fb^{-1}, and report the first observation of the pure W-annihilation decay D_{s}^{+}→ωρ^{+} with a branching fraction of (0.99±0.08_{stat} _{-0.07}^{+0.05}_{syst})%. In comparison to the low significance of the D wave in the decay D_{s}^{+}→ϕρ^{+}, the dominance of the D wave over the S and P waves, with a fraction of (51.85±7.28_{stat} _{-7.90}^{+4.83}_{syst})% observed in the decay D_{s}^{+}→ωρ^{+}, provides crucial information for the "polarization puzzle," as well as for the understanding of charm meson decays. The branching fraction of D_{s}^{+}→π^{+}π^{+}π^{-}π^{0}π^{0} is measured to be (4.41±0.15_{stat}±0.13_{syst})%. Moreover, the branching fraction of D_{s}^{+}→ϕρ^{+} is measured to be (3.98±0.33_{stat} _{-0.19}^{+0.21}_{syst})%, and the R_{ϕ}=B(ϕ→π^{+}π^{-}π^{0})/B(ϕ→K^{+}K^{-}) is determined to be (0.222±0.019_{stat} _{-0.016}^{+0.016}_{syst}), which is consistent with the previous measurement based on charm meson decays, but deviates from the results from e^{+}e^{-} annihilation and K-N scattering experiments by more than 3σ.

Authors
M Ablikim, M Achasov, P Adlarson, O Afedulidis, X Ai, R Aliberti, A Amoroso, Q An, Y Bai, O Bakina, I Balossino, Y Ban, H-r Bao, V Batozskaya, K Begzsuren, N Berger, M Berlowski, M Bertani, D Bettoni, F Bianchi, E Bianco, A Bortone, I Boyko, R Briere, A Brueggemann, H Cai, X Cai, A Calcaterra, G Cao, N Cao, S Cetin, X Chai, J Chang, G Che, Y Che, G Chelkov, C Chen, C Chen, Chao Chen, G Chen, H Chen, H Chen, M Chen, S Chen, S Chen, S Chen, T Chen, X Chen, X Chen, Y Chen, Y Chen, Z Chen, S Choi, G Cibinetto, F Cossio, J Cui, H Dai, J Dai, A Dbeyssi, R De Boer, D Dedovich, C Deng, Z Deng, A Denig, I Denysenko, M Destefanis, F De Mori, B Ding, X Ding, Y Ding, Y Ding, J Dong, L Dong, M Dong, X Dong, M Du, S Du, Y Duan, Z Duan, P Egorov, G Fan, J Fan, Y Fan, J Fang, J Fang, S Fang, W Fang, Y Fang, R Farinelli, L Fava, F Feldbauer, G Felici, C Feng, J Feng, Y Feng, M Fritsch, C Fu, J Fu, Y Fu, H Gao, X Gao, Y Gao, Y Gao, Yang Gao, S Garbolino, I Garzia, P Ge, Z Ge, C Geng, E Gersabeck, A Gilman, K Goetzen, L Gong, W Gong, W Gradl, S Gramigna, M Greco, M Gu, Y Gu, C Guan, A Guo, L Guo, M Guo, R Guo, Y Guo, A Guskov, J Gutierrez, K Han, T Han, F Hanisch, X Hao, F Harris, K He, K He, F Heinsius, C Heinz, Y Heng, C Herold, T Holtmann, P Hong, G Hou, X Hou, Y Hou, Z Hou, B Hu, H Hu, J Hu, Q Hu, S Hu, T Hu, Y Hu, G Huang, K Huang, L Huang, P Huang, X Huang, Y Huang, Y Huang, T Hussain, F Hölzken, N Hüsken, N In Der Wiesche, J Jackson, S Janchiv, Q Ji, W Ji, X Ji, X Ji, Y Ji, X Jia, Z Jia, D Jiang, H Jiang, P Jiang, S Jiang, T Jiang, X Jiang, Y Jiang, J Jiao, J Jiao, Z Jiao, S Jin, Y Jin, M Jing, X Jing, T Johansson, S Kabana, N Kalantar Nayestanaki, X Kang, X Kang, M Kavatsyuk, B Ke, V Khachatryan, A Khoukaz, R Kiuchi, O Kolcu, B Kopf, M Kuessner, X Kui, N Kumar, A Kupsc, W Kühn, W Lan, T Lei, Z Lei, M Lellmann, T Lenz, C Li, C Li, C Li, Cheng Li, D Li, F Li, G Li, H Li, H Li, H Li, Hui Li, J Li, J Li, K Li, K Li, L Li, Lei Li, M Li, P Li, P Li, Q Li, Q Li, R Li, T Li, T Li, W Li, W Li, X Li, X Li, X Li, X Li, X Li, Y Li, Y Li, Z Li, Z Li, C Liang, H Liang, Y Liang, Y Liang, G Liao, Y Liao, J Libby, A Limphirat, C Lin, D Lin, T Lin, B Liu, B Liu, C Liu, C Liu, F Liu, F Liu, Feng Liu, G Liu, H Liu, H Liu, H Liu, Huihui Liu, J Liu, K Liu, Ke Liu, L Liu, L Liu, Lu Liu, M Liu, P Liu, Q Liu, S Liu, T Liu, W Liu, W Liu, X Liu, X Liu, Y Liu, Y Liu, Z Liu, Z Liu, Z Liu, X Lou, F Lu, H Lu, J Lu, Y Lu, Y Lu, Z Lu, C Luo, J Luo, M Luo, T Luo, X Luo, X Lyu, Y Lyu, F Ma, H Ma, H Ma, J Ma, L Ma, Q Ma, R Ma, R Ma, T Ma, X Ma, X Ma, Y Ma, F Maas, I Mackay, M Maggiora, S Malde, Y Mao, Z Mao, S Marcello, Y Meng, Z Meng, J Messchendorp, G Mezzadri, H Miao, T Min, R Mitchell, X Mo, B Moses, N Muchnoi, J Muskalla, Y Nefedov, F Nerling, L Nie, I Nikolaev, Z Ning, S Nisar, Q Niu, W Niu, Y Niu, S Olsen, Q Ouyang, S Pacetti, X Pan, Y Pan, A Pathak, Y Pei, M Pelizaeus, H Peng, Y Peng, K Peters, J Ping, R Ping, S Plura, V Prasad, F Qi, H Qi, M Qi, S Qian, W Qian, C Qiao, J Qiao, J Qin, L Qin, L Qin, X Qin, X Qin, Z Qin, J Qiu, Z Qu, C Redmer, K Ren, A Rivetti, M Rolo, G Rong, Ch Rosner, M Ruan, S Ruan, N Salone, A Sarantsev, Y Schelhaas, K Schoenning, M Scodeggio, K Shan, W Shan, X Shan, Z Shang, J Shangguan, L Shao, M Shao, C Shen, H Shen, W Shen, X Shen, B Shi, H Shi, J Shi, J Shi, S Shi, X Shi, J Song, T Song, W Song, Y Song, Y Song, S Sosio, S Spataro, F Stieler, S Su, Y Su, G Sun, G Sun, H Sun, J Sun, K Sun, L Sun, S Sun, T Sun, Y Sun, Y Sun, Z Sun, Z Sun, C Tang, G Tang, J Tang, M Tang, Y Tang, L Tao, M Tat, J Teng, V Thoren, W Tian, Y Tian, Z Tian, I Uman, Y Wan, S Wang, B Wang, Bo Wang, C Wang, D Wang, H Wang, J Wang, J Wang, K Wang, L Wang, L Wang, M Wang, N Wang, S Wang, S Wang, T Wang, T Wang, W Wang, W Wang, X Wang, X Wang, X Wang, X Wang, X Wang, Y Wang, Y Wang, Y Wang, Y Wang, Y Wang, Y Wang, Yaqian Wang, Yi Wang, Z Wang, Z Wang, D Wei, F Weidner, S Wen, Y Wen, U Wiedner, G Wilkinson, M Wolke, L Wollenberg, C Wu, J Wu, L Wu, L Wu, Lianjie Wu, X Wu, X Wu, Y Wu, Y Wu, Z Wu, L Xia, X Xian, B Xiang, T Xiang, D Xiao, G Xiao, H Xiao, Y Xiao, Z Xiao, C Xie, X Xie, Y Xie, Y Xie, Y Xie, Z Xie, T Xing, C Xu, C Xu, G Xu, M Xu, Q Xu, Q Xu, W Xu, X Xu, Y Xu, Y Xu, Z Xu, F Yan, L Yan, W Yan, W Yan, W Yan, X Yan, H Yang, H Yang, H Yang, J Yang, R Yang, T Yang, Y Yang, Y Yang, Y Yang, Z Yang, Z Yao, M Ye, M Ye, Junhao Yin, Z You, B Yu, C Yu, G Yu, J Yu, M Yu, T Yu, X Yu, C Yuan, J Yuan, J Yuan, L Yuan, S Yuan, Y Yuan, Z Yuan, Ying Yue, A Zafar, F Zeng, S Zeng, X Zeng, Y Zeng, Y Zeng, X Zhai, Y Zhai, Y Zhan, A Zhang, B Zhang, B Zhang, D Zhang, G Zhang, H Zhang, H Zhang, H Zhang, H Zhang, H Zhang, J Zhang, J Zhang, J Zhang, J Zhang, J Zhang, J Zhang, J Zhang, J Zhang, J Zhang, J Zhang, Jianyu Zhang, Lei Zhang, P Zhang, Q Zhang, Q Zhang, R Zhang, S Zhang, Shulei Zhang, X Zhang, X Zhang, X Zhang, Y Zhang, Y Zhang, Y Zhang, Y Zhang, Yan Zhang, Z Zhang, Z Zhang, Z Zhang, Z Zhang, Z Zhang, Z Zhang, Z Zhang, Zh Zhang, G Zhao, J Zhao, J Zhao, L Zhao, Lei Zhao, M Zhao, N Zhao, R Zhao, S Zhao, Y Zhao, Y Zhao, Z Zhao, A Zhemchugov, B Zheng, B Zheng, J Zheng, W Zheng, X Zheng, Y Zheng, B Zhong, X Zhong, H Zhou, J Zhou, S Zhou, X Zhou, X Zhou, X Zhou, Y Zhou, Z Zhou, A Zhu, J Zhu, K Zhu, K Zhu, L Zhu, L Zhu, S Zhu, T Zhu, W Zhu, W Zhu, W Zhu, Y Zhu, Z Zhu, J Zou, J Zu