Measurement of Absolute Hadronic Branching Fractions of $D$ Mesons and $e^{+}{e}^{-}\to D\overline{D}$ Cross Sections at $E_{\mathrm{c}.\mathrm{m}.}=3773\mathrm{MeV}$

Using $55.8{\mathrm{pb}}^{-1}$ of $e^{+}{e}^{-}$ collisions recorded at the $\psi (3770)$ resonance with the CLEO-c detector at CESR, we determine absolute hadronic branching fractions of charged and neutral $D$ mesons using a double tag technique. Among measurements for three $D^0$ and six $D^{+}$ modes, we obtain reference branching fractions $\mathcal{B}(D^0\to K^{-}{\pi }^{+})=(3.91\pm 0.08\pm 0.09)\%$ and $\mathcal{B}(D^{+}\to K^{-}{\pi }^{+}{\pi }^{+})=(9.5\pm 0.2\pm 0.3)\%$, where the uncertainties are statistical and systematic, respectively. Final state radiation is included in these branching fractions by allowing for additional, unobserved, photons in the final state. Using a determination of the integrated luminosity, we also extract the cross sections $\sigma (e^{+}{e}^{-}\to D^0{\overline{D}}^0)=(3.60\pm {0.07}_{-0.05}^{+0.07})\mathrm{nb}$ and $\sigma (e^{+}{e}^{-}\to D^{+}{D}^{-})=(2.79\pm {0.07}_{-0.04}^{+0.10})\mathrm{nb}$.

Figure 1

Semilogarithmic plot of ST yields and fits, with $D$ and $\overline{D}$ combined for each mode. Data are shown as points with error bars. The solid lines show the total fits and the dashed lines the background shapes. The high mass tails on the signal are due to initial state radiation.

Figure 2

DT yields and fits projected onto the $D^0$ and $D^{+}$ axes and summed over all modes. Data are shown as points with error bars. The solid lines show the total fit and the dashed lines the background shapes.