Measurement of Absolute Hadronic Branching Fractions of D Mesons and e+e−→DD¯ Cross Sections at Ec.m.=3773 MeV

Abstract

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 $\sigma (e^{+}{e}^{-}\to D^{+}{D}^{-})=(2.79\pm {0.07}_{-0.04}^{+0.10})\mathrm{nb}$.