# Resonant parameters of the $Y(4220)$

## TL;DR

This paper performs a combined fit to experimental cross section data to precisely determine the resonant parameters of the $Y(4220)$ charmoniumlike state, providing key insights into its mass, width, and decay properties.

## Contribution

It presents the first combined analysis of multiple decay channels to extract the $Y(4220)$ resonance parameters with improved precision.

## Key findings

- Mass of $Y(4220)$ is approximately 4220 MeV/$c^2$
- Total width of $Y(4220)$ is about 56 MeV
- Estimated leptonic decay width and branching fractions

## Abstract

The vector charmoniumlike state $Y(4220)$ was reported recently in the cross sections of $e^+e^-\to \omega \chi_{c0}$, $\pi^+\pi^-h_c$, $\pi^+\pi^- J/\psi$, and $D^0 D^{*-}\pi^+ + c.c.$ measured by the BESIII experiment. A combined fit is performed to the cross sections of these four final states to extract the resonant parameters of the $Y(4220)$. We determine a mass $M=(4219.6\pm 3.3\pm 5.1)$~MeV/$c^2$ and a total width $\Gamma=(56.0\pm 3.6\pm 6.9)$~MeV for the $Y(4220)$, where the first uncertainties are statistical and the second ones systematic. Assuming the $Y(4220)$ decays dominantly to the above four modes and their isospin symmetric modes, we also estimate its leptonic decay width and decay branching fractions. These information is essential for the understanding of the nature of this state.