Using the BES-II detector at the BEPC Collider, we measured the lowest order cross sections and the $R$ values ($R=\sigma^0_{e^+e^- \to {\rm hadrons}}/\sigma^0_{e^+e^- \to \mu^+\mu^-}$) 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 $\sigma^{\rm B}_{\psi(3770)} = (9.575\pm 0.256 \pm 0.813)~{\rm nb}$ 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 $BF(\psi(3770) \to {\rm non}-D\bar D)=(16.1 \pm 1.6 \pm 5.7)%$.
The measured (uncorrected) cross sections.
Lowest order cross sections (corrected for radiative and vacuum polarization effects).. The first DSYS error is the point-to-point systematic error and the secondis the common systematic error.
The Ruds value obtained by averaging the first two energy points.. The first error is the combined statistical and point-to-point systematic error and the DSYS error is the common systematic error.
From a study of D mesons produced in the decay ψ(3772)→DD¯, we have determined the masses of the D0 and D+ mesons to be 1863.3±0.9 MeV/c2 and 1868.3±0.9 MeV/c2, respectively. Under the assumption that the ψ(3772) has a definite isospin and decays only to DD¯, the D0 branching fractions to K−π+, K¯0π+π−, and K−π+π−π+ are (2.2±0.6)%, (4.0 ± 1.3)%, and (3.2±1.1)% and the D+ branching fractions to K¯0π+ and K−π+π+ are (1.5±0.6)% and (3.9±1.0)%.
AROUND PSI(3772)0 PEAK. UPPER BOUNDS EACH SIDE OF PEAK ARE TABULATED IN M. PICCOLO ET AL., PL 86B, 220 (1979).
We observe a resonance in the total cross section for hadron production in e+e− annihilation at a mass of 3772±6 MeV/c2 having a total width of 28±5 MeV/c2 and a partial width to electron pairs of 370±90 eV/c2.
BEFORE ANY RADIATIVE CORRECTIONS.
AFTER APPLYING ALL RADIATIVE CORRECTIONS.