Abstract
The concept of effective, position-dependent reduced mass is introduced for three-body molecules. It varies continuously between the asymptotic limits and generates a scaled Born-Oppenheimer-type Hamiltonian that contains a substantial amount of the adiabatic correction. A close analytical expression for this correction is obtained, without the explicit calculation of the nuclear kinetic energy matrix element. The approach accounts for the isotope effect and allows the first successful Born-Oppenheimer-type calculation on e-e+e-.
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