Abstract
The Born cross sections for the process $e^+e^- \to \eta^\prime \pi^{+}\pi^{-}$ at different center-of-mass energies between $2.00$ and $3.08$ GeV are reported with improved precision from an analysis of data samples collected with the BESIII detector operating at the BEPCII storage ring. An obvious structure is observed in the Born cross section line shape. Fit as a Breit-Wigner resonance, it has a statistical significance of $6.3\sigma$ and a mass and width of $M=(2111\pm43\pm25)$~MeV/$c^2$ and $\Gamma=(135\pm34\pm30)$~MeV, where the uncertainties are statistical and systematic, respectively. These measured resonance parameters agree with the measurements of BABAR in $e^+e^- \to \eta^\prime \pi^{+}\pi^{-}$ and BESIII in $e^+e^- \to \omega\pi^0$ within two standard deviations.
Highlights
Low energy eþe− collision experiments, where ρ, ω, and φ resonances as well as their excited states are produced copiously, offer an ideal test bed to thoroughly investigate the properties of these resonances
BESIII is a general-purpose detector located at the Beijing Electron Positron Collider (BEPCII) [18] and is designed for studies of hadron spectroscopy and τ-charm physics [19,20]
To obtain reliable detection efficiencies and initial state radiation (ISR) factors, the Born cross sections used as input in the generator have been iterated until the product ð1 þ δrÞ · ε has converged, defined as an iteration leading to a relative change of less than 1.0%
Summary
Low energy eþe− collision experiments, where ρ, ω, and φ resonances as well as their excited states are produced copiously, offer an ideal test bed to thoroughly investigate the properties of these resonances. According to the vector meson dominance model [15], the isovector part of the electromagnetic current in the positive G-parity process eþe− → η0πþπ− allows direct production of ρ-like states. This process can be used to extract the resonance parameters of the ρ-like states. We report the Born cross sections for eþe− → η0πþπ− based on the same datasets. By fitting to these cross sections, we measure the parameters of the possible ρ-like resonances
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