  Taking into account the increasing interest in measuring high energy gamma
ray polarization, Boldishev et. at. \cite{[Boldy]} published an extensive and
very comprehensive work on the possibility of using the recoil electrons in the
production of pairs on electrons. However, this work is based on using only 2
Feynmann diagrams of the 8 that the process has. This eliminates the difficulty
of distinguishing, in the theory, which is the recoil electron and which is the
created
  In this work we have analyzed the eight Feynman diagrams and we have shown
that for energies lower to $\sim 1000mc^2$, the assumption just described is
not a good approximation, so we propose a different way to work \cite{Marcos}:
we classify the electrons into the less energetic and the most energetic ones
without taking into account their origin. Under these conditions (lower or
higher energy value), we have calculated the contribution of the different
diagrams to the distribution(we compare the sum of them with that obtained by
Haug \cite{Haug_e+}\cite{Haug_e-}, and how these distributions are modified by
introducing a threshold for the momentum detection for electrons.
  For the study of polarization we presented on the angular distribution of
particles for high-energy gamma rays (where only Borsellino diagrams
predominate). Our results on the azimuthal distribution show that it is highly
influenced by the orientation (in the plane perpendicular to the direction of
the photon), prior to the interaction, that the polarization vector has with
respect to the position of the electron in whose field the pair will be
generated.
