Derived Born cross sections of $e^+e^-$ annihilation into open charm mesons from CLEO-c measurements

TL;DR

This paper presents precise measurements of the Born cross sections for $D^0$, $D^+$, and $D_s^+$ meson production in $e^+e^-$ annihilation at energies between 3.97 and 4.26 GeV, using CLEO-c data with corrections for initial state radiation and vacuum polarization.

Contribution

It provides the first detailed set of Born cross sections for these open charm mesons at multiple energies, improving the accuracy of previous measurements.

Findings

Measured Born cross sections at 13 energy points.

Applied corrections for initial state radiation and vacuum polarization.

Estimated both statistical and systematic uncertainties.

Abstract

The exclusive Born cross sections of the production of $D^0$, $D^+$ and $D_s^+$ mesons in $e^+e^-$ annihilation at 13 energy points between 3.970 and 4.260 GeV are obtained by applying corrections for initial state radiation and vacuum polarization to the observed cross sections measured by CLEO-c experiment. Both the statistical and the systematic uncertainties for the obtained Born cross sections are properly estimated.