Born—Oppenheimer Separation for Three-Particle Systems. III. Applications

Abstract

The formulation of the three-body problem presented in Paper I of this series leads to a set of second-order linear simultaneous differential equations. A numerical procedure for the solution of these equations is described, and is used to compute nonadiabatic energies for the first few rotation—vibration levels of 2Σg H2+, 2Σ HD+, and 2Σg D2+. The dipole moment of 2Σ HD+ is given, together with matrix elements for rotation—vibration transitions. The method is also applied to obtain approximate binding energies of two-electron atoms and various mesonic systems from two-center wavefunctions.