Measurement of the Integrated Luminosities of Cross-section Scan Data Samples Around the $\psi(3770)$ Mass Region

Understand

To investigate the nature of the $\psi(3770)$ resonance and to measure the cross section for $e^+e^- \to D\bar{D}$, a cross-section scan data sample, distributed among 41 center-of-mass energy points from 3.73 to 3.89~GeV, was taken with the BESIII detector operated at the BEPCII collider in the year 2010.

• By analyzing the large angle Bhabha scattering events, we measure the integrated luminosity of the data sample at each center-of-mass energy point.
• The total integrated luminosity of the data sample is $76.16\pm0.04\pm0.61$~pb$^{-1}$, where the first uncertainty is statistical and the second systematic.