Adiabatic representation in the three-body problem with the Coulomb interaction. II. The effective two-level approximation

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 =m c /M 0 is the ratio of the mass, m c , of the negative charged particle, c, to the reduced mass, M 0 , of two positively charged particles a and b. The physical meaning of the transformation and the solutions obtained is discussed.