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Title: Observation of η c ( 2 S ) 3 ( π + π ) and measurements of χ c J 3 ( π + π ) in ψ ( 3686 ) radiative transitions

Abstract

The hadronic decay $$η_c(2S) → 3(π^+π^-)$$ is observed with a statistical significance of 9.3 standard deviations using $(448.1 ± 2.9) × 10^6 ψ(3686)$ events collected by the BESIII detector at the BEPCII collider. The measured mass and width of $$η_c(2S)$$ are $$(3643.4 ± 2.3 (\text{stat}) ± 4.4 (\text{syst})) \text{MeV}/c^2$$ and $$(19.8 ± 3.9 (\text{stat}) ± 3.1 (\text{syst})) \text{MeV}$$, respectively, which are consistent with the world average values within two standard deviations. The product branching fraction $$\mathscr{B}[ψ(3686) → γη_c (2S)] × \mathscr{B}[η_c(2S) → 3(π^+π^-)]$$ is measured to be $$(9.2 ± 1.0 (\text{stat}) ± 1.2 (\text{syst})) × 10^6$$. Using $$\mathscr{B}[ψ(3686) → γη_c (2S)] = (7.0\frac{+ 3.4}{-2.5}) × 10^{-4}$$, we obtain $$\mathscr{B}[η_c(2S) → 3(π^+π^-)] = (1.31 ± 0.15 (\text{stat}) ± 0.17 (\text{syst}) (\frac{+0.64}{-0.47}) (\text{extr})) × 10^{-2}$$, where the third uncertainty is from $$\mathscr{B}[ ψ (3686) → γη_c(2S)] $$. We also measure the $$χ_{cJ} → 3(π^+π^-) (J = 0, 1, 2)$$ decays via $$ψ' → γχ_{cJ}$$ transitions. The branching fractions are $$\mathscr{B}[χ_{c0} → 3 (π^+π^-)] = (2.080 ± 0.006 (\text{stat}) ± 0.068 (\text{syst})) × 10^{-2}$$, $$\mathscr{B}[χ_{c1} → 3(π^+π^-)] = (1.092 ± 0.004 (\text{stat}) ± 0.035 (\text{syst})) × 10^{-2}$$, and $$\mathscr{B}[χ_{c2} → 3 (π^+π^-)] = (1.565 ± 0.005 (\text{stat}) ± 0.048 (\text{syst})) × 10^{-2}$$.

Authors:
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Publication Date:
Research Org.:
Indiana Univ., Bloomington, IN (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC); Chinese Academy of Sciences (CAS); National Key Research and Development Program of China
Contributing Org.:
BESIII Collaboration
OSTI Identifier:
1882787
Alternate Identifier(s):
OSTI ID: 1980149
Grant/Contract Number:  
FG02-05ER41374; 160355; B16F640076
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 106 Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats

Ablikim, M., Achasov, M. N., Adlarson, P., Albrecht, M., Aliberti, R., Amoroso, A., An, M. R., An, Q., Bai, X. H., Bai, Y., Bakina, O., Baldini Ferroli, R., Balossino, I., Ban, Y., Batozskaya, V., Becker, D., Begzsuren, K., Berger, N., Bertani, M., Bettoni, D., Bianchi, F., Bloms, J., Bortone, A., Boyko, I., Briere, R. A., Brueggemann, A., Cai, H., Cai, X., Calcaterra, A., Cao, G. F., Cao, N., Cetin, S. A., Chang, J. F., Chang, W. L., Chelkov, G., Chen, 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, Z. J., Cheng, W. S., Choi, S. K., Chu, X., Cibinetto, G., Cossio, F., Cui, J. J., Dai, H. L., Dai, J. P., Dbeyssi, A., de Boer, R. E., Dedovich, D., Deng, Z. Y., Denig, A., Denysenko, I., Destefanis, M., De Mori, F., Ding, Y., Dong, J., Dong, L. Y., Dong, M. Y., Dong, X., Du, S. X., Egorov, P., Fan, Y. L., Fang, J., Fang, S. S., Fang, W. X., Fang, Y., Farinelli, R., Fava, L., Feldbauer, F., Felici, G., Feng, C. Q., Feng, J. H., Fischer, K., Fritsch, M., Fritzsch, C., Fu, C. D., Gao, H., Gao, Y. N., Gao, Yang, Garbolino, S., Garzia, I., Ge, P. T., Ge, Z. W., Geng, C., Gersabeck, E. M., Gilman, A., Goetzen, K., Gong, L., Gong, W. X., Gradl, W., Greco, M., Gu, L. M., Gu, M. H., Gu, Y. T., Guan, C. Y., Guo, A. Q., Guo, L. B., Guo, R. P., Guo, Y. P., Guskov, A., Han, T. T., Han, W. Y., Hao, X. Q., Harris, F. A., He, K. K., He, K. L., Heinsius, F. H., Heinz, C. H., Heng, Y. K., Herold, C., Himmelreich, M., Hou, G. Y., Hou, Y. R., Hou, Z. L., Hu, H. M., Hu, J. F., Hu, T., Hu, Y., Huang, G. S., Huang, K. X., Huang, L. Q., Huang, L. Q., Huang, X. T., Huang, Y. P., Huang, Z., Hussain, T., Hüsken, N., Imoehl, W., Irshad, M., Jackson, J., Jaeger, S., Janchiv, S., Jang, E., Jeong, J. H., Ji, Q., Ji, Q. P., Ji, X. B., Ji, X. L., Ji, Y. Y., Jia, Z. K., Jiang, H. B., Jiang, S. S., Jiang, X. S., Jiang, Y., Jiao, J. B., Jiao, Z., Jin, S., Jin, Y., Jing, M. Q., Johansson, T., Kalantar-Nayestanaki, N., Kang, X. S., Kappert, R., Kavatsyuk, M., Ke, B. C., Keshk, I. K., Khoukaz, A., Kiese, P., Kiuchi, R., Kliemt, R., Koch, L., Kolcu, O. B., Kopf, B., Kuemmel, M., Kuessner, M., Kupsc, A., Kühn, W., Lane, J. J., Lange, J. S., Larin, P., Lavania, A., Lavezzi, L., Lei, Z. H., Leithoff, H., Lellmann, M., Lenz, T., Li, C., Li, C., Li, C. H., Li, Cheng, Li, D. M., Li, F., Li, G., Li, H., Li, H., Li, H. B., Li, H. J., Li, H. N., Li, J. Q., 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, S. Y., Li, T., Li, W. D., Li, W. G., Li, X. H., Li, X. L., Li, Xiaoyu, Liang, H., Liang, H., Liang, H., Liang, Y. F., Liang, Y. T., Liao, G. R., Liao, L. Z., Libby, J., Limphirat, A., Lin, C. X., Lin, D. X., Lin, T., Liu, B. J., 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, 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., Lou, X. C., Lu, F. X., Lu, H. J., Lu, J. G., Lu, X. L., Lu, Y., Lu, Y. P., Lu, Z. H., Luo, C. L., Luo, M. X., Luo, T., Luo, X. L., Lyu, X. R., Lyu, Y. F., Ma, F. C., Ma, H. L., Ma, L. L., Ma, M. M., Ma, Q. M., Ma, R. Q., Ma, R. T., Ma, X. Y., Ma, Y., Maas, F. E., Maggiora, M., Maldaner, S., Malde, S., Malik, Q. A., Mangoni, A., Mao, Y. J., Mao, Z. P., Marcello, S., Meng, Z. X., Messchendorp, J. G., Mezzadri, G., Miao, H., Min, T. J., Mitchell, R. E., Mo, X. H., Muchnoi, N. Yu., Nefedov, Y., Nerling, F., Nikolaev, I. B., Ning, Z., Nisar, S., Niu, Y., Olsen, S. L., Ouyang, Q., Pacetti, S., Pan, X., Pan, Y., Pathak, A., Pathak, A., Pelizaeus, M., Peng, H. P., Peters, K., Pettersson, J., Ping, J. L., Ping, R. G., Plura, S., Pogodin, S., Prasad, V., Qi, F. Z., Qi, H., Qi, H. R., Qi, M., Qi, T. Y., Qian, S., Qian, W. B., Qian, Z., Qiao, C. F., Qin, J. J., Qin, L. Q., Qin, X. P., Qin, X. S., Qin, Z. H., Qiu, J. F., Qu, S. Q., Qu, S. Q., Rashid, K. H., Redmer, C. F., Ren, K. J., Rivetti, A., Rodin, V., Rolo, M., Rong, G., Rosner, Ch., Ruan, S. N., Sang, H. S., Sarantsev, A., Schelhaas, Y., Schnier, C., Schönning, K., Scodeggio, M., Shan, K. Y., Shan, W., Shan, X. Y., Shangguan, J. F., Shao, L. G., Shao, M., Shen, C. P., Shen, H. F., Shen, X. Y., Shi, B. A., Shi, H. C., Shi, J. Y., Shi, Q. Q., Shi, R. S., Shi, X., Shi, X. D., Song, J. J., Song, W. M., Song, Y. X., Sosio, S., Spataro, S., Stieler, F., Su, K. X., Su, P. P., Su, Y. J., Sun, G. X., Sun, H., Sun, H. K., Sun, J. F., Sun, L., Sun, S. S., Sun, T., Sun, W. Y., Sun, X., Sun, Y. J., Sun, Y. Z., Sun, Z. T., Tan, Y. H., Tan, Y. X., Tang, C. J., Tang, G. Y., Tang, J., Tao, L. Y., Tao, Q. T., Tat, M., Teng, J. X., Thoren, V., Tian, W. H., Tian, Y., Uman, I., Wang, B., Wang, B. L., Wang, C. W., Wang, D. Y., Wang, F., Wang, H. J., Wang, H. P., Wang, K., Wang, L. L., Wang, M., Wang, M. Z., Wang, Meng, Wang, S., Wang, S., Wang, T., Wang, T. J., Wang, W., Wang, W. H., Wang, W. P., Wang, X., Wang, X. F., Wang, X. L., Wang, Y. D., Wang, Y. F., Wang, Y. H., Wang, Y. Q., Wang, Yaqian, Wang, Yi, Wang, Z., Wang, Z. Y., Wang, Ziyi, Wei, D. H., Weidner, F., Wen, S. P., White, D. J., Wiedner, U., Wilkinson, G., Wolke, M., Wollenberg, L., Wu, J. F., Wu, L. H., Wu, L. J., Wu, X., Wu, X. H., Wu, Y., Wu, Z., Xia, L., Xiang, T., Xiao, D., Xiao, G. Y., Xiao, H., Xiao, S. Y., Xiao, Y. L., Xiao, Z. J., Xie, C., Xie, X. H., Xie, Y., Xie, Y. G., Xie, Y. H., Xie, Z. P., Xing, T. Y., Xu, C. F., Xu, C. J., Xu, G. F., Xu, H. Y., Xu, Q. J., Xu, X. P., Xu, Y. C., Xu, Z. P., Yan, F., Yan, L., Yan, W. B., Yan, W. C., Yang, H. J., Yang, H. L., Yang, H. X., Yang, L., Yang, S. L., Yang, Tao, Yang, Y. F., Yang, Y. X., Yang, Yifan, Ye, M., Ye, M. H., Yin, J. H., You, Z. Y., Yu, B. X., Yu, C. X., Yu, G., Yu, T., Yu, X. D., Yuan, C. Z., Yuan, L., Yuan, S. C., Yuan, X. Q., Yuan, Y., Yuan, Z. Y., Yue, C. X., Zafar, A. A., Zeng, F. R., Zeng, X., Zeng, Y., Zhan, Y. H., Zhang, A. Q., Zhang, B. L., Zhang, B. X., Zhang, D. H., Zhang, G. Y., Zhang, H., Zhang, H. H., Zhang, H. H., Zhang, H. Y., Zhang, J. L., Zhang, J. Q., Zhang, J. W., Zhang, J. X., Zhang, J. Y., Zhang, J. Z., Zhang, Jianyu, Zhang, Jiawei, Zhang, L. M., Zhang, L. Q., Zhang, Lei, Zhang, P., Zhang, Q. Y., Zhang, Shuihan, Zhang, Shulei, Zhang, X. D., Zhang, X. M., Zhang, X. Y., Zhang, X. Y., Zhang, Y., Zhang, Y. T., Zhang, Y. H., Zhang, Yan, Zhang, Yao, Zhang, Z. H., Zhang, Z. Y., Zhang, Z. Y., Zhao, G., Zhao, J., Zhao, J. Y., Zhao, J. Z., Zhao, Lei, Zhao, Ling, Zhao, M. G., Zhao, Q., Zhao, S. J., Zhao, Y. B., Zhao, Y. X., Zhao, Z. G., Zhemchugov, A., Zheng, B., Zheng, J. P., Zheng, Y. H., Zhong, B., Zhong, C., Zhong, X., Zhou, H., Zhou, L. P., Zhou, X., Zhou, X. K., Zhou, X. R., Zhou, X. Y., Zhou, Y. Z., Zhu, J., Zhu, K., Zhu, K. J., Zhu, L. X., Zhu, S. 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Ablikim, M., Achasov, M. N., Adlarson, P., Albrecht, M., Aliberti, R., Amoroso, A., An, M. R., An, Q., Bai, X. H., Bai, Y., Bakina, O., Baldini Ferroli, R., Balossino, I., Ban, Y., Batozskaya, V., Becker, D., Begzsuren, K., Berger, N., Bertani, M., Bettoni, D., Bianchi, F., Bloms, J., Bortone, A., Boyko, I., Briere, R. A., Brueggemann, A., Cai, H., Cai, X., Calcaterra, A., Cao, G. F., Cao, N., Cetin, S. A., Chang, J. F., Chang, W. L., Chelkov, G., Chen, 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, Z. J., Cheng, W. S., Choi, S. K., Chu, X., Cibinetto, G., Cossio, F., Cui, J. J., Dai, H. L., Dai, J. P., Dbeyssi, A., de Boer, R. E., Dedovich, D., Deng, Z. Y., Denig, A., Denysenko, I., Destefanis, M., De Mori, F., Ding, Y., Dong, J., Dong, L. Y., Dong, M. Y., Dong, X., Du, S. X., Egorov, P., Fan, Y. L., Fang, J., Fang, S. S., Fang, W. X., Fang, Y., Farinelli, R., Fava, L., Feldbauer, F., Felici, G., Feng, C. Q., Feng, J. H., Fischer, K., Fritsch, M., Fritzsch, C., Fu, C. D., Gao, H., Gao, Y. N., Gao, Yang, Garbolino, S., Garzia, I., Ge, P. T., Ge, Z. W., Geng, C., Gersabeck, E. M., Gilman, A., Goetzen, K., Gong, L., Gong, W. X., Gradl, W., Greco, M., Gu, L. M., Gu, M. H., Gu, Y. T., Guan, C. Y., Guo, A. Q., Guo, L. B., Guo, R. P., Guo, Y. P., Guskov, A., Han, T. T., Han, W. Y., Hao, X. Q., Harris, F. A., He, K. K., He, K. L., Heinsius, F. H., Heinz, C. H., Heng, Y. K., Herold, C., Himmelreich, M., Hou, G. Y., Hou, Y. R., Hou, Z. L., Hu, H. M., Hu, J. F., Hu, T., Hu, Y., Huang, G. S., Huang, K. X., Huang, L. Q., Huang, L. Q., Huang, X. T., Huang, Y. P., Huang, Z., Hussain, T., Hüsken, N., Imoehl, W., Irshad, M., Jackson, J., Jaeger, S., Janchiv, S., Jang, E., Jeong, J. H., Ji, Q., Ji, Q. P., Ji, X. B., Ji, X. L., Ji, Y. Y., Jia, Z. K., Jiang, H. B., Jiang, S. S., Jiang, X. S., Jiang, Y., Jiao, J. B., Jiao, Z., Jin, S., Jin, Y., Jing, M. Q., Johansson, T., Kalantar-Nayestanaki, N., Kang, X. S., Kappert, R., Kavatsyuk, M., Ke, B. C., Keshk, I. K., Khoukaz, A., Kiese, P., Kiuchi, R., Kliemt, R., Koch, L., Kolcu, O. B., Kopf, B., Kuemmel, M., Kuessner, M., Kupsc, A., Kühn, W., Lane, J. J., Lange, J. S., Larin, P., Lavania, A., Lavezzi, L., Lei, Z. H., Leithoff, H., Lellmann, M., Lenz, T., Li, C., Li, C., Li, C. H., Li, Cheng, Li, D. M., Li, F., Li, G., Li, H., Li, H., Li, H. B., Li, H. J., Li, H. N., Li, J. Q., 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, S. Y., Li, T., Li, W. D., Li, W. G., Li, X. H., Li, X. L., Li, Xiaoyu, Liang, H., Liang, H., Liang, H., Liang, Y. F., Liang, Y. T., Liao, G. R., Liao, L. Z., Libby, J., Limphirat, A., Lin, C. X., Lin, D. X., Lin, T., Liu, B. J., 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, 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., Lou, X. C., Lu, F. X., Lu, H. J., Lu, J. G., Lu, X. L., Lu, Y., Lu, Y. P., Lu, Z. H., Luo, C. L., Luo, M. X., Luo, T., Luo, X. L., Lyu, X. R., Lyu, Y. F., Ma, F. C., Ma, H. L., Ma, L. L., Ma, M. M., Ma, Q. M., Ma, R. Q., Ma, R. T., Ma, X. Y., Ma, Y., Maas, F. E., Maggiora, M., Maldaner, S., Malde, S., Malik, Q. A., Mangoni, A., Mao, Y. J., Mao, Z. P., Marcello, S., Meng, Z. X., Messchendorp, J. G., Mezzadri, G., Miao, H., Min, T. J., Mitchell, R. E., Mo, X. H., Muchnoi, N. Yu., Nefedov, Y., Nerling, F., Nikolaev, I. B., Ning, Z., Nisar, S., Niu, Y., Olsen, S. L., Ouyang, Q., Pacetti, S., Pan, X., Pan, Y., Pathak, A., Pathak, A., Pelizaeus, M., Peng, H. P., Peters, K., Pettersson, J., Ping, J. L., Ping, R. G., Plura, S., Pogodin, S., Prasad, V., Qi, F. Z., Qi, H., Qi, H. R., Qi, M., Qi, T. 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@article{osti_1882787,
title = {Observation of η c ( 2 S ) → 3 ( π + π − ) and measurements of χ c J → 3 ( π + π − ) in ψ ( 3686 ) radiative transitions},
author = {Ablikim, M. and Achasov, M. N. and Adlarson, P. and Albrecht, M. and Aliberti, R. and Amoroso, A. and An, M. R. and An, Q. and Bai, X. H. and Bai, Y. and Bakina, O. and Baldini Ferroli, R. and Balossino, I. and Ban, Y. and Batozskaya, V. and Becker, D. and Begzsuren, K. and Berger, N. and Bertani, M. and Bettoni, D. and Bianchi, F. and Bloms, J. and Bortone, A. and Boyko, I. and Briere, R. A. and Brueggemann, A. and Cai, H. and Cai, X. and Calcaterra, A. and Cao, G. F. and Cao, N. and Cetin, S. A. and Chang, J. F. and Chang, W. L. and Chelkov, G. and Chen, C. and Chen, Chao and Chen, G. and Chen, H. S. and Chen, M. L. and Chen, S. J. and Chen, S. M. and Chen, T. and Chen, X. R. and Chen, X. T. and Chen, Y. B. and Chen, Z. J. and Cheng, W. S. and Choi, S. K. and Chu, X. and Cibinetto, G. and Cossio, F. and Cui, J. J. and Dai, H. L. and Dai, J. P. and Dbeyssi, A. and de Boer, R. E. and Dedovich, D. and Deng, Z. Y. and Denig, A. and Denysenko, I. and Destefanis, M. and De Mori, F. and Ding, Y. and Dong, J. and Dong, L. Y. and Dong, M. Y. and Dong, X. and Du, S. X. and Egorov, P. and Fan, Y. L. and Fang, J. and Fang, S. S. and Fang, W. X. and Fang, Y. and Farinelli, R. and Fava, L. and Feldbauer, F. and Felici, G. and Feng, C. Q. and Feng, J. H. and Fischer, K. and Fritsch, M. and Fritzsch, C. and Fu, C. D. and Gao, H. and Gao, Y. N. and Gao, Yang and Garbolino, S. and Garzia, I. and Ge, P. T. and Ge, Z. W. and Geng, C. and Gersabeck, E. M. and Gilman, A. and Goetzen, K. and Gong, L. and Gong, W. X. and Gradl, W. and Greco, M. and Gu, L. M. and Gu, M. H. and Gu, Y. T. and Guan, C. Y. and Guo, A. Q. and Guo, L. B. and Guo, R. P. and Guo, Y. P. and Guskov, A. and Han, T. T. and Han, W. Y. and Hao, X. Q. and Harris, F. A. and He, K. K. and He, K. L. and Heinsius, F. H. and Heinz, C. H. and Heng, Y. K. and Herold, C. and Himmelreich, M. and Hou, G. Y. and Hou, Y. R. and Hou, Z. L. and Hu, H. 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abstractNote = {The hadronic decay $η_c(2S) → 3(π^+π^-)$ is observed with a statistical significance of 9.3 standard deviations using $(448.1 ± 2.9) × 10^6 ψ(3686)$ events collected by the BESIII detector at the BEPCII collider. The measured mass and width of $η_c(2S)$ are $(3643.4 ± 2.3 (\text{stat}) ± 4.4 (\text{syst})) \text{MeV}/c^2$ and $(19.8 ± 3.9 (\text{stat}) ± 3.1 (\text{syst})) \text{MeV}$, respectively, which are consistent with the world average values within two standard deviations. The product branching fraction $\mathscr{B}[ψ(3686) → γη_c (2S)] × \mathscr{B}[η_c(2S) → 3(π^+π^-)]$ is measured to be $(9.2 ± 1.0 (\text{stat}) ± 1.2 (\text{syst})) × 10^6$. Using $\mathscr{B}[ψ(3686) → γη_c (2S)] = (7.0\frac{+ 3.4}{-2.5}) × 10^{-4}$, we obtain $\mathscr{B}[η_c(2S) → 3(π^+π^-)] = (1.31 ± 0.15 (\text{stat}) ± 0.17 (\text{syst}) (\frac{+0.64}{-0.47}) (\text{extr})) × 10^{-2}$, where the third uncertainty is from $\mathscr{B}[ ψ (3686) → γη_c(2S)] $. We also measure the $χ_{cJ} → 3(π^+π^-) (J = 0, 1, 2)$ decays via $ψ' → γχ_{cJ}$ transitions. The branching fractions are $\mathscr{B}[χ_{c0} → 3 (π^+π^-)] = (2.080 ± 0.006 (\text{stat}) ± 0.068 (\text{syst})) × 10^{-2}$, $\mathscr{B}[χ_{c1} → 3(π^+π^-)] = (1.092 ± 0.004 (\text{stat}) ± 0.035 (\text{syst})) × 10^{-2}$, and $\mathscr{B}[χ_{c2} → 3 (π^+π^-)] = (1.565 ± 0.005 (\text{stat}) ± 0.048 (\text{syst})) × 10^{-2}$.},
doi = {10.1103/PhysRevD.106.032014},
journal = {Physical Review D},
number = 3,
volume = 106,
place = {United States},
year = {Mon Aug 22 00:00:00 EDT 2022},
month = {Mon Aug 22 00:00:00 EDT 2022}
}

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