QUASI-CLASSICAL ANALYTICAL APPROXIMATION OF THE S-MATRIX FOR THE 3-PARTICLE COLLINEAR REARRANGEMENT REACTION

In the framework of the quasi-classical method of the Fock-Leontovich parabolic equation, the collinear problem of the three-particle rearra ngement reaction is reduced to the quantum problem of a one-dimensiona l harmonic oscillator with a variable frequency in an external force f ield. This allows one to express the S-matrix elements responsible for the rearrangement channel via the known analytical functions of the o scillator model, using the parameters of the potential surface of a li near configuration of three particles.