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.