Measurement of absolute hadronic branching fractions of D⁰ and D⁺ and σ(e⁺e⁻ → D) at E_cm = 3.77 GeV

Using 57.2 pb⁻¹ of data collected with the CLEO-c detector at the ψ(3770) resonance, we measure absolute branching fractions for three D⁰ and two D⁺ Cabibbo-allowed hadronic decay modes, and the cross section for e⁺e⁻ → D at E_cm = 3.77 GeV. We report preliminary measurements of branching fractions ℬ(D⁰ → K⁻π⁺) = (3.92 ± 0.08 ± 0.23)%, ℬ(D⁰ → K⁻π⁺π⁰) = (14.3 ± 0.3 ± 1.0)%, ℬ(D⁰ → K⁻π⁺π⁺π⁻) = (8.1 ± 0.2 ± 0.9)%, ℬ(D⁺ → K⁻π⁺π⁺) = (9.8 ± 0.4 ± 0.8)%, and ℬ(D⁺ → K_S⁰π⁺) = (1.61 ± 0.08 ± 0.15)%. and the cross sections σ(e⁺e⁻ → D) = (6.06 ± 0.13 ± 0.22) nb.