Study of the branching ratio of $\psi(3770)\to D\bar{D}$ in $e^+e^-\to D\bar{D}$ scattering

TL;DR

This study analyzes data from BES and Belle to determine the branching ratio of $(3770)$ decaying into $D\bar{D}$ in $e^+e^-$ collisions, accounting for resonance, continuum, and interference effects.

Contribution

It provides a new measurement of the $(3770)\to D\bar{D}$ branching ratio using combined experimental data and a comprehensive fit including interference effects.

Findings

Branching ratio of $(3770)\to D\bar{D}$ is $97.2\pm 8.9\%$.

Resonance parameters of $(3770)$ obtained from fit.

Analysis includes continuum, resonance, and interference contributions.

Abstract

Based on the data of BES and Belle, the production of $D\bar{D}$ in the $e^+e^-\to D\bar{D}$ scattering process is studied in this paper. We analyze the continuum and resonant contributions in the energy region from 3.7 to 4.4 GeV. In the $\chi^2$ fit to data, we obtain the resonance parameters of $\psi(3770)$, the branching ratio of $\psi(3770)\to D\bar{D}$ decay by confronting the data to the theoretical formula where both the contributions of the resonances, continuum and interference effects are included. We obtain the branching ratio of $\psi(3770)\to D\bar{D}$ decay is $97.2%\pm 8.9%$, as well as the branching ratio of $\psi(4040)$, $\psi(4160)\to D\bar{D}$ decays.