Electronic width of the $\psi (3770)$ resonance interfering with the background

Abstract

Methods for extracting the $\psi (3770)\to e^{+}{e}^{-}$ decay width from the data on the reaction cross section $e^{+}{e}^{-}\to D\bar{D}$ are discussed. Attention is drawn to the absence of the generally accepted method for determining ${\Gamma }_{\psi (3770)e^{+}{e}^{-}}$ in the presence of interference between the contributions of the $\psi (3770)$ resonance and background. It is shown that the model for the experimentally measured $D$ meson form factor, which satisfies the requirement of the Watson theorem and takes into account the contribution of the complex of the mixed $\psi (3770)$ and $\psi (2S)$ resonances, allows uniquely determine the value of ${\Gamma }_{\psi (3770)e^{+}{e}^{-}}$ by fitting. The ${\Gamma }_{\psi (3770)e^{+}{e}^{-}}$ values found from the data processing are compared with the estimates in the potential models.

10 pages, 3 figures, v2: clarifications and two references added, version published in Phys. Rev. D

References in corpus (11)

• Quarkonia and their transitions
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Measurement of the near-threshold $e^{+}{e}^{-}\to D\bar{D}$ cross section using initial-state radiation
• 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
• Dalitz plot analyses of $B^0\to D^{-}{D}^0{K}^{+}$ and $B^{+}\to {\overline{D}}^0{D}^0{K}^{+}$ decays
• QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$
• 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
• $P$-wave coupled channel effects in electron-positron annihilation
• The continuum and interference effect in $e^{+}{e}^{-}\to D^0{\bar{D}}^0,D^{+}{D}^{-}$ processes

Cited by in corpus (3)

• Wave-Packet Effects: A Solution for Isospin Anomalies in Vector-Meson Decay
• NCQ scaling of $f_0(980)$ elliptic flow in 200 GeV Au+Au collisions by STAR and its constituent quark content
• Improved description of e^+e^- \to p\bar{p}π^0 cross section line shape and more stringent constraints on ψ(3770) and ψ(4230) \to p\bar{p}π^0