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

## TL;DR

This paper reports the measurement of integrated luminosities at 41 energy points around the $(3770)$ resonance using Bhabha scattering events, crucial for studying the resonance's properties and cross sections.

## Contribution

It provides precise integrated luminosity measurements for the BESIII data sample near the $(3770)$, aiding future resonance and cross section analyses.

## Key findings

- Total integrated luminosity is 76.16 pb$^{-1}$ with uncertainties.
- Luminosity measurements achieved with high precision using Bhabha scattering.
- Data covers energies from 3.73 to 3.89 GeV.

## Abstract

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.