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.

arXiv commentThree pages, one figure, match the published version

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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