  We study the energy dependence of the e^+e^- to ppbar cross section close to
the two-nucleon threshold, recently reported by the BaBar collaboration. Our
analysis also includes the pbarp to e^+e^- data collected by PS170
collaboration and the e^+e^- to NNbar data from the FENICE collaboration. We
show that the near-threshold enhancement in the e^+e^- to ppbar cross section
can be explained by the final-state interaction between proton and antiproton
in the 3S1 partial wave, utilizing the Juelich nucleon-antinucleon model. As a
consequence, the strong dependence of the proton electromagnetic form factors
on the momentum transfer close to the two-nucleon threshold is presumably also
driven by this final-state interaction effect. This result is in line with our
previous studies of the near-threshold enhancement of the ppbar invariant mass
spectrum seen in the J/Psi to gamma ppbar decay by the BES collaboration and in
the B+ to ppbar K+ decay by the BaBar collaboration.
