Measurement of $e^+e^- \to D\bar{D}$ cross sections at the $\psi$(3770) resonance

Abstract

We report new measurements of the cross sections for the production of Dbar D final states at the ψ(3770) resonance. Our data sample consists of an integrated luminosity of 2.93 fb$^{-1}$ of $e^+e^-$ annihilation data produced by the BEPCII collider and collected and analyzed with the BESIII detector. We exclusively reconstruct three D$^0$ and six D$^+$ hadronic decay modes and use the ratio of the yield of fully reconstructed Dbar D events ("double tags") to the yield of all reconstructed D or bar D mesons ("single tags") to determine the number of D$^0$bar D$^0$ and D$^+$D$^-$ events, benefiting from the cancellation of many systematic uncertainties. Combining these yields with an independent determination of the integrated luminosity of the data sample, we find the cross sections to be σ($e^+e^-$ → D0bar D0) nb and σ($e^+e^-$ → D$^+$D$^-$) = (2.830 ± 0.011 ± 0.026) nb, where the uncertainties are statistical and systematic, respectively.