Measurements of the cross sections for $e^{+}{e}^{-}\to \mathrm{hadrons}$ at 3.650, 3.6648, 3.773 GeV and the branching fraction for $\psi (3770)\to \mathrm{non}-D\bar{D}$

Abstract

Using the BES-II detector at the BEPC Collider, we measured the lowest order cross sections and the $R$ values ($R={\sigma }_{e^{+}{e}^{-}\to \mathrm{hadrons}}^0/{\sigma }_{e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}}^0$) for inclusive hadronic event production at the center-of-mass energies of 3.650 GeV, 3.6648 GeV and 3.773 GeV. The results lead to ${\bar{R}}_{uds}=2.224\pm 0.019\pm 0.089$ which is the average of these measured at 3.650 GeV and 3.6648 GeV, and $R=3.793\pm 0.037\pm 0.190$ at $\sqrt{s}=3.773$ GeV. We determined the lowest order cross section for $\psi (3770)$ production to be ${\sigma }_{\psi (3770)}^{\mathrm{B}}=(9.575\pm 0.256\pm 0.813)\mathrm{nb}$ at 3.773 GeV, the branching fractions for $\psi (3770)$ decays to be $BF(\psi (3770)\to D^0{\bar{D}}^0)=(48.9\pm 1.2\pm 3.8)$, $BF(\psi (3770)\to D^{+}{D}^{-})=(35.0\pm 1.1\pm 3.3)$ and $BF(\psi (3770)\to D\bar{D})=(83.9\pm 1.6\pm 5.7)$, which result in the total non-$D\bar{D}$ branching fraction of $\psi (3770)$ decay to be $BF(\psi (3770)\to \mathrm{non}-D\bar{D})=(16.1\pm 1.6\pm 5.7)$.

11 pages, 5 figures

Cited by in corpus (36)

• Heavy quarkonium: progress, puzzles, and opportunities
• Quarkonia and their transitions
• Improved predictions for g-2 of the muon and α_{\rm QED}(M_Z^2)
• Measurements of the braching fractions for psi(3770)--> D0D0-bar,D+D-,DD-bar$ and the resonance parameters of psi(3770) and psi(2S)
• Effects of S-wave thresholds
• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• 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
• Hadron Spectroscopy: Theory and Experiment
• 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
• Measurement of the Cross Section for $e^{+}{e}^{-}\to$ hadrons at Energies from 2.2324 to 3.6710 GeV
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Study of $e^{+}{e}^{-}\to p\bar{p}$ in the vicinity of $\psi (3770)$
• η transitions between charmonia with meson loop contributions
• Heavy Quark Spectroscopy -- Theory Overview
• Study of e${}^{+}$e${}^{-}$ $\to \text{p}\overline{\text{p}}{\pi }^0$ in the Vicinity of the $\psi \text{(3770)}$
• Measurement of cross sections for $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ at center-of-mass energies from 3.80 to 4.60 GeV
• Direct measurement of the absolute branching fraction for $D^{+}\to {\bar{K}}^0{\mu }^{+}{\nu }_{\mu }$ and determination of $\Gamma (D^0\to K^{-}{\mu }^{+}{\nu }_{\mu })/\Gamma (D^{+}\to {\bar{K}}^0{\mu }^{+}{\nu }_{\mu })$
• Isospin violating decay of $\psi (3770)\to J/\psi +{\pi }^0$
• Observation of di-structures in $e^{+}{e}^{-}\to J/\psi \mathrm{X}$ at center-of-mass energies around 3.773 GeV
• Recurrent form of the renormalization group relations for the higher-order hadronic vacuum polarization function perturbative expansion coefficients
• Direct Measurements of Absolute Branching Fractions for D0 and D+ Inclusive Semimuonic Decays
• Electronic width of the $\psi (3770)$ resonance interfering with the background
• First Observation of a Three-Resonance Structure in $e^{+}{e}^{-}\to$Nonopen Charm Hadrons
• The $R_{uds}$ value in the vicinity of $\psi (3770)$ state
• $\mathcal{R}(3780)$ Resonance Interpreted as the $1^3{D}_1$-Wave Dominant State of Charmonium from Precise Measurements of the Cross Section of $e^{+}{e}^{-}\to$ Hadrons
• Measurements of branching fractions for inclusive K0~/K0 and K*(892)+- decays of neutral and charged D mesons
• $\tau$ mass and $R$ value measurements at BES
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Observation of $D\to {\bar{K}}_1(1270){\mu }^{+}{\nu }_{\mu }$ and test of lepton flavor universality with $D\to {\bar{K}}_1(1270){\ell }^{+}{\nu }_{\ell }$
• Measurement of the inclusive branching fraction for $\psi (3686)\to K_S^0+\text{anything}$
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$
• 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
• Search for the radiative transitions $\psi (3770)\to \gamma {\eta }_c$ and $\gamma {\eta }_c(2S)$
• Update of hadronic decays of $J/\psi$ and $\psi (2S)$ though virtual photons