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

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 $97.2$, as well as the branching ratio of $\psi (4040)$, $\psi (4160)\to D\bar{D}$ decays.

Comments: 6 pages, 1 figure, 1 table, version to appear in Phys. Rev. D Rapid communications