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Intense positron beams can be prepared via electro production with thereaction $e^{-} + e^{-} \rightarrow e^{-}+e^{+}+e^{-}+e^{-}$ due to theavailability of high current electron beams. Head on collisions inside of amagnetic field of a solenoid are used to produce unpolarized/polarizedpositrons via $e^{-}-e^{+}$ - pair production. A flux of unpolarized positrons,$N_{positron}=6.55 \cdot 10^{11} s^{-1}$, has been obtained as a result ofcalculations for a special case of parameters with beam currents for bothelectron beams of $I_{e}$=10 mA and beam momenta of $p_{beam 1}$=0.63 MeV/c and$p_{beam 2}$=10.0 MeV/c. Intensities are an order of magnitude smaller in thecase of polarized positrons due to a reduced current of one of the electronbeams. Suitable cuts on momenta of the positrons allow to achieve apolarization transfer from electrons to positrons of $\geq $ 85\% reducing,however, the intensity to 27\%

A Method to Produce Intense Positron Beams via Electro Pair Production on Electrons