The $R_{uds}$ value in the vicinity of $\psi (3770)$ state

Abstract

The anomalous line shape of the $\psi (3770)$ state has resulted in some difficulty in the determination of the $R$ value for the continuum light hadron production in the resonance energy range. We parameterize the asymmetric line shape using a Fano-type formula and extract the $R_{uds}$ value to be $2.156\pm 0.022$ from the data of BESIII Collaboration in the energy region between 3.650 and 3.872 GeV. The small discrepancy between experiment and theory is removed. The cross sections of the $e^{+}{e}^{-}\to hadrons$ are given by subtracting the part of continuum light hadron production and are compared to the data of the $e^{+}{e}^{-}\to D\bar{D}$ reaction.

6 pages, 2 figures

References in corpus (7)

• Big-Bang Nucleosynthesis
• Measurements of the cross sections for $e^{+}{e}^{-}\to \mathrm{hadrons}$ at 3.650, 3.6648, 3.773 GeV and the branching fraction for $\psi (3770)\to \mathrm{non}-D\bar{D}$
• Measurements of the braching fractions for psi(3770)--> D0D0-bar,D+D-,DD-bar$ and the resonance parameters of psi(3770) and psi(2S)
• Measurements of the continuum $R_{\mathrm{uds}}$ and $R$ values in $e^{+}{e}^{-}$ annihilation in the energy region between 3.650 and 3.872 GeV
• Precison Measurements of the Mass, the Widths of $\psi (3770)$ Resonance and the Cross Section $\sigma [e^{+}{e}^{-}\to \psi (3770)]$ at $E_{\mathrm{cm}}=3.7724$ GeV
• Study of $e^{+}{e}^{-}\to p\bar{p}$ in the vicinity of $\psi (3770)$
• Study of e${}^{+}$e${}^{-}$ $\to \text{p}\overline{\text{p}}{\pi }^0$ in the Vicinity of the $\psi \text{(3770)}$