Abstract

For pt.I see ibid., vol.12, no.4, p.567 (1979). A canonical transformation of an infinite system of differential equations describing the motion of the three-body system in the adiabatic basis is suggested. This transformation allows one to reduce the original problem to the solution of a finite set of differential equations. As an example, a system of two differential equations is constructed which represents the infinite (or finite) system of equations within the accuracy (2M)-2, where M-1=mc/M0 is the ratio of the mass, mc, of the negative charged particle, c, to the reduced mass, M0, of two positively charged particles a and b. The physical meaning of the transformation and the solutions obtained is discussed.

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