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.

arXiv comment6 pages, 2 figures

References in corpus (23)

• Big-Bang Nucleosynthesis
• Measurement of Absolute Hadronic Branching Fractions of D Mesons and e^+ e^- --> D D-bar Cross Sections at the psi(3770)
• Adler Function, Sum Rules and Crewther Relation of Order O(alpha_s^4): the Singlet Case
• 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)
• A determination of the QED coupling at the $Z$ pole
• Rhad: A program for the evaluation of the hadronic R-ratio in the perturbative regime of QCD
• Measurement of sigma(e^+e^- --> psi(3770) --> hadrons) at E_{cm}=3773 MeV
• 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
• The lineshape of $\psi (3770)$ and low-lying vector charmonium resonance parameters in $e^{+}{e}^{-}\to D\bar{D}$
• 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
• Measurement of ψ(3770) parameters
• $D\bar{D}$ production and their interactions
• Search for Exclusive Multi-Body Non-DbarD Decays at the psi(3770)
• Study of $e^{+}{e}^{-}\to p\bar{p}$ in the vicinity of $\psi (3770)$
• Line shape of ψ(3770) in e^+e^-\to D\bar D
• Study of e${}^{+}$e${}^{-}$ $\to \text{p}\overline{\text{p}}{\pi }^0$ in the Vicinity of the $\psi \text{(3770)}$
• Study of the anomalous cross-section lineshape of e^+e^-\to D\bar D at ψ(3770) with an effective field theory
• Study of the branching ratio of $\psi (3770)\to D\bar{D}$ in $e^{+}{e}^{-}\to D\bar{D}$ scattering
• Updated measurements of absolute $D^{+}$ and $D^0$ hadronic branching fractions and $\sigma (e^{+}{e}^{-}\to D\overline{D})$ at $E_{\mathrm{cm}}=3774$ MeV
• Reaction $e^{+}{e}^{-}\to \bar{D}D$ and ${\psi }^{\prime }$ mesons
• Description of the ψ(3770) resonance interfering with the background
• The nature and line shapes of charmonium in the $e^{+}{e}^{-}\to D\bar{D}$ reactions

Cited by in corpus (2)

• Vector mesons and electromagnetic form factor of the $\Lambda$ hyperon
• Line-shape and poles of the $\psi (3770)$