  The measurements of the total cross section of the $ e^+e^-\to\gamma\gamma$
reaction from the VENUS, TOPAS, OPAL, DELPHI, ALEPH and L3 collaborations,
collected between 1989 to 2003, are used to perform a $ \chi^{2} $ test to
search for a finite interaction length in direct contact term. The experimental
data of the total cross section compared to the QED cross section of a $
\chi^{2} $ test allows, to set limit on a finite interaction length $
r_{e}=(1.25\pm 0.16) \times 10 ^{-17} [cm] $. In the direct contact term
annihilation is this interaction lengths a measure for the size of the
electron.
