Semiclassical three-charged-particle system in the framework of the Pechukas self-consistent method.

Abstract

To describe the rearrangment channels for three-particle atomic reactions and for three-particle muonic processes a semiclassical formalism of the Faddeev-Hahn equations is applied. The relative motion of heavy particles is treated from the classical point of view while the motion of the lighter particle is described from the quantum-mechanical point of view. To find correct trajectories of heavy particles the self-consistent Pechukas method, based on the Feynman path-integral theory, is employed.