Pinpointing Physical Solutions in Y(4230) Decays

Abstract

To resolve ambiguities from multiple solutions in experimental measurements, we construct a ${\chi }^2$ function incorporating constraints such as isospin conservation and amplitude relations. By minimizing the global ${\chi }^2$, we identify physical solutions for seven hidden-charm decay channels of $Y(4230)$. Crucially, the physical solution for $Y(4230)\to {\pi }^{+}{\pi }^{-}J/\psi$ corresponds to the largest among four experimental solutions, potentially modifying inputs for theoretical calculations. Additionally, we predict ${\Gamma }_{ee}B(Y(4230)\to {\pi }^{+}{\pi }^{-}\psi (2S))$ based on our results, acknowledging substantial uncertainties in current measurements.

4 pages, 1 figure, 3 tables; in the updated version a missing factor has been considered and the conclusion is changed

References in corpus (36)

• Observation of a Broad Structure in the ${\pi }^{+}{\pi }^{-}J/\psi$ Mass Spectrum around 4.26 GeV/$c^2$
• Decoding the riddle of Y(4260) and $Z_c(3900)$
• Gluonic charmonium resonances at BaBar and Belle?
• Four Quark Interpretation of Y(4260)
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• The Possible Interpretations of Y(4260)
• Suppressed decay into open charm for the Y(4260) being an hybrid
• $Y(4260)$ as the first $S$-wave open charm vector molecular state?
• Measurement of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\psi (3686)$ from 4.008 to 4.600$\sim$GeV and observation of a charged structure in the ${\pi }^{\pm }\psi (3686)$ mass spectrum
• One Explanation for the Exotic State Y(4260)
• Tetraquark state candidates: $Y(4260)$, $Y(4360)$, $Y(4660)$ and $Z_c(4020/4025)$
• Possible Molecular Structure of the Newly Observed Y(4260)
• Charmonium's K2 peak
• Y(4260) and Y(4360) as mixed hadrocharmonium
• The Y(4260) as an omega chi_{c1} molecular state
• Observation of the $Y(4230)$ and a new structure in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Study of the process $e^{+}{e}^{-}\to {\pi }^0{\pi }^{0}J/\psi$ and neutral charmonium-like state $Z_c(3900{)}^0$
• Selected strong decay modes of Y(4260)
• Investigating possible decay modes of $Y(4260)$ under the $D_1(2420)\bar{D}+c.c$ molecular state ansatz
• A mathematical review on the multiple-solution problem
• Production of $Y(4260)$ as a hadronic molecule state of $\bar{D}{D}_1+c.c.$ in $e^{+}{e}^{-}$ annihilations
• The $P$-wave $[cs][\bar{c}\bar{s}]$ tetraquark state: Y(4260) or Y(4660)?
• Lowest vector tetraquark states: $Y(4260/4220)$ or $Z_c(4100)$
• Vector tetraquark state candidates: $Y(4260/4220)$, $Y(4360/4320)$, $Y(4390)$ and $Y(4660/4630)$
• Unified Fano-like interference picture for charmonium-like states $Y(4008)$, $Y(4260)$ and $Y(4360)$
• Observation of the $Y(4230)$ and evidence for a new vector charmonium-like state $Y(4710)$ in $e^{+}{e}^{-}\to K_S^0{K}_S^{0}J/\psi$
• Nature of the $Y(4260)$: A light-quark perspective
• Prediction of a narrow exotic hadronic state with quantum numbers $J^{PC}=0^{--}$
• Radiative decay Y(4260) -> X(3872) + gamma involving hadronic molecular and charmonium components
• Cross section measurement of $e^{+}{e}^{-}\to {\eta }^{\prime }J/\psi$ from $\sqrt{s}=4.178$ to $4.600$ GeV
• Study of the resonance structures in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ process
• Probing the nature of $Y(4260)$ and $Z_c(3900)$ in the isospin violating process $Y(4260)\to J/\psi \eta {\pi }^0$
• General mathematical analysis on multiple solutions of interfering resonances combinations
• Measurement of $e^{+}{e}^{-}\to \eta J/\psi$ Cross Section from $\sqrt{s}=$ 3.808 GeV to 4.951 GeV
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Selecting the physical solution via $\eta$-${\eta }^{\prime }$ mixing