Selecting the physical solution via $\eta$-${\eta }^{\prime }$ mixing

Abstract

Based on $\eta$-${\eta }^{\prime }$ mixing analysis, we propose a novel method to extract the physical solutions for the hadronic properties of the $Y(4230)$ resonance from the experimental data. Experimentally, multiple solutions have been reported in the decays of $Y(4230)\to \eta J/\psi$ and $Y(4230)\to {\eta }^{\prime }J/\psi$. Utilizing our method, we determine a unique solution for the process $Y(4230)\to {\eta }^{\prime }J/\psi$. Likewise, two solutions for the process $Y(4230)\to \eta J/\psi$ are preferred among the originally reported three solutions under the assumption that $Y(4230)$ dose not take an $s\bar{s}$ component.

Three pages, one figure, match the published version

References in corpus (8)

• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• Cross section measurement of $e^{+}{e}^{-}\to {\eta }^{\prime }J/\psi$ from $\sqrt{s}=4.178$ to $4.600$ GeV
• General mathematical analysis on multiple solutions of interfering resonances combinations
• Triangle relations for XYZ states
• On the ambiguity of the interfering resonances parameters determination
• On the ambiguity of determination of interfering resonances parameters

Cited by in corpus (3)

• Observation of the $Y(4230)$ and a new structure in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Cross section measurements of $e^{+}{e}^{-}\to \Phi K^{+}{K}^{-}$ and $e^{+}{e}^{-}\to \Phi K_S^0{K}_S^0$ at center-of-mass energies between 3.7730 GeV and 4.7008 GeV
• Pinpointing Physical Solutions in Y(4230) Decays