Where did you find this statement? They have all the reason to rather attract and even form positronium an unstable particle just like hydrogen atom, but not with centre heavy (but equally light); which will decay to give out two photons of 511 keV in the presence of a third body.
Electrons have a negative charge and positrons (same mass) have a positive charge and they would therefore attract each other causing an annihilation with the release of pure energy (photons).
Answers & Comments
Verified answer
Where did you find this statement? They have all the reason to rather attract and even form positronium an unstable particle just like hydrogen atom, but not with centre heavy (but equally light); which will decay to give out two photons of 511 keV in the presence of a third body.
Electrons have a negative charge and positrons (same mass) have a positive charge and they would therefore attract each other causing an annihilation with the release of pure energy (photons).
A third body is not necessary for positron electron annihilation, only for pair production.