The Radiative Collisions of Positrons and Electrons

摘要: The general matrix elements for the collision of two electrons ($e\ensuremath{-}e$ case) or a positron and an electron ($p\ensuremath{-}e$ accompanied by emission quantum radiation are formulated. It is expected that cross sections will differ considerably both because existence dipole $p\ensuremath{-}e$ case, essentially different nature exchange phenomenon in case arising there from possibility virtual pair creation annihilation rather than indistinguishability particles. Two cases calculated detail; non-relativistic limit extreme relativistic which energy restricted to $\ensuremath{\leqq}{E}^{\frac{1}{2}}$ laboratory system. In former section $e\ensuremath{-}e$ found vanish if momentum neglected, while comparable "bremsstrahlung" process. latter same order magnitude being greater terms, terms negligible all considered.