On Coherent Acceleration of e+ e--Pair at Nonlinear Cyclotron Autoresonance

The possibility of simultaneous cyclic acceleration of positrons and electrons under the conditions of cyclotron autoresonance with a linearly polarized standing electromagnetic wave in a magnetic field, adiabatically increasing in time, is indicated. It is shown that such an acceleration mechanism allows an energy of e+ e--collisions, which is of interest in elementary particle physics.