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

Abstract

Based on 12.0 $\mathrm{f}{\mathrm{b}}^{-1}$ 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 $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$. The cross sections for the sub processes $e^{+}{e}^{-}\to {\pi }^{+}{Z}_c(3900{)}^{-}+c.c.\to {\pi }^{+}{\pi }^{-}J/\psi$, $f_0(980)(\to {\pi }^{+}{\pi }^{-})J/\psi$, and $(π^{+}π^{-})_{\rm{S\mbox{-}wave}} J/ψ$ are measured for the first time. The mass and width of the $Z_c(3900{)}^{\pm }$ are determined to be $3884.6\pm 0.7\pm 3.3$ MeV/$c^2$ and $37.2\pm 1.3\pm 6.6$ MeV, respectively. The first errors are statistical and the second systematic. The final state $(π^{+}π^{-})_{\rm{S\mbox{-}wave}} J/ψ$ dominates the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$. 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 $4225.7\pm 4.1\pm 3.4$ MeV/$c^2$ and $57.5\pm 9.4\pm 12.1$ MeV, respectively.

arXiv commentThe data for efficiency corrected plots Fig.F6, F7, Fig.1(e,f) can be found on HEPData: https://doi.org/10.17182/hepdata.166173.v1

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