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arXiv · 2505.13222

Partial Wave Analysis of $e^{+}e^{-} \rightarrow \pi^{+}\pi^{-}J/\psi$ and Cross Section Measurement of $e^{+}e^{-} \rightarrow \pi^{\pm}Z_{c}(3900)^{\mp}$ from 4.1271 to 4.3583 GeV

BESIII Collaboration·M. Ablikim·M. N. Achasov·P. Adlarson·O. Afedulidis·X. C. 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. A. Briere·A. Brueggemann·H. Cai·X. Cai·A. Calcaterra·G. F. Cao·N. Cao·S. A. Cetin·J. F. Chang·G. R. Che·G. Chelkov·C. Chen·C. H. Chen·Chao Chen·G. Chen·H. S. Chen·H. Y. Chen·M. L. Chen·S. J. Chen·S. L. Chen·S. M. Chen·T. Chen·X. R. Chen·X. T. Chen·Y. B. Chen·Y. Q. Chen·Z. J. Chen·Z. Y. Chen·S. K. Choi·G. Cibinetto·F. Cossio·J. J. Cui·H. L. Dai·J. P. Dai·A. Dbeyssi·R. E. de Boer·D. Dedovich·C. Q. Deng·Z. Y. Deng·A. Denig·I. Denysenko·M. Destefanis·F. De Mori·B. Ding·X. X. Ding·Y. Ding·J. Dong·L. Y. Dong·M. Y. Dong·X. Dong·M. C. Du·S. X. Du·Y. Y. Duan·Z. H. Duan·P. Egorov·Y. H. Fan·J. Fang·S. S. Fang·W. X. Fang·Y. Fang·Y. Q. Fang·R. Farinelli·L. Fava·F. Feldbauer·G. Felici·C. Q. Feng·J. H. Feng·Y. T. Feng·M. Fritsch·C. D. Fu·J. L. Fu·Y. W. Fu·H. Gao·X. B. Gao·Y. N. Gao·Yang Gao
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Abstract

Based on 12.0 $\mathrm{fb^{-1}}$ of $e^{+}e^{-}$ collision data samples collected by the BESIII detector at center-of-mass energies from 4.1271 to 4.3583 GeV, a partial wave analysis is performed for the process $e^{+}e^{-} \rightarrow \pi^{+}\pi^{-}J/\psi$. The cross sections for the sub processes ${e^{+}e^{-}\rightarrow\pi^{+}Z_{c}(3900)^{-}+c.c.\rightarrow\pi^{+}\pi^{-}J/\psi}$, $f_{0}(980)(\rightarrow\pi^{+}\pi^{-})J/\psi$, and $(\pi^{+}\pi^{-})_{\rm{S\mbox{-}wave}} J/\psi$ are measured for the first time. The mass and width of the $Z_{c}(3900)^{\pm}$ are determined to be $3884.6\pm0.7\pm3.3$ MeV/$c^{2}$ and $37.2\pm1.3\pm6.6$ MeV, respectively. The first errors are statistical and the second systematic. The final state $(\pi^{+}\pi^{-})_{\rm{S\mbox{-}wave}} J/\psi$ dominates the process $e^{+}e^{-} \rightarrow \pi^{+}\pi^{-}J/\psi$. By analyzing the cross sections of $\pi^{\pm}Z_{c}(3900)^{\mp}$ and $f_{0}(980)J/\psi$, $Y(4220)$ has been observed. Its mass and width are determined to be $4225.7\pm4.1\pm3.4$ MeV/$c^{2}$ and $57.5\pm9.4\pm12.1$ MeV, respectively.

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BESIII Collaboration, M. Ablikim, M. N. Achasov, P. Adlarson, O. Afedulidis, X. C. 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. A. Briere, A. Brueggemann, H. Cai, X. Cai, A. Calcaterra, G. F. Cao, N. Cao, S. A. Cetin, J. F. Chang, G. R. Che, G. Chelkov, C. Chen, C. H. Chen, Chao Chen, G. Chen, H. S. Chen, H. Y. Chen, M. L. Chen, S. J. Chen, S. L. Chen, S. M. Chen, T. Chen, X. R. Chen, X. T. Chen, Y. B. Chen, Y. Q. Chen, Z. J. Chen, Z. Y. Chen, S. K. Choi, G. Cibinetto, F. Cossio, J. J. Cui, H. L. Dai, J. P. Dai, A. Dbeyssi, R. E. de Boer, D. Dedovich, C. Q. Deng, Z. Y. Deng, A. Denig, I. Denysenko, M. Destefanis, F. De Mori, B. Ding, X. X. Ding, Y. Ding, J. Dong, L. Y. Dong, M. Y. Dong, X. Dong, M. C. Du, S. X. Du, Y. Y. Duan, Z. H. Duan, P. Egorov, Y. H. Fan, J. Fang, S. S. Fang, W. X. Fang, Y. Fang, Y. Q. Fang, R. Farinelli, L. Fava, F. Feldbauer, G. Felici, C. Q. Feng, J. H. Feng, Y. T. Feng, M. Fritsch, C. D. Fu, J. L. Fu, Y. W. Fu, H. Gao, X. B. Gao, Y. N. Gao, Yang Gao. 2025-05-19. Partial Wave Analysis of $e^{+}e^{-} \rightarrow \pi^{+}\pi^{-}J/\psi$ and Cross Section Measurement of $e^{+}e^{-} \rightarrow \pi^{\pm}Z_{c}(3900)^{\mp}$ from 4.1271 to 4.3583 GeV. https://doi.org/10.1103/f94z-snbh

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