Orbital-Angular-Momentum Decomposition of the Three-Body Coupling Scheme: Muonic Molecules and the Hydrogen Molecular Ion

5 October 1969

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 186 (1) , 14-25
https://doi.org/10.1103/PhysRev.186.14

Abstract

In obtaining the wave functions of three-body Coulomb systems in which two heavy equally charged, and one light oppositely charged, particles are involved, one can use a type of Born-Oppenheimer coupling scheme, to obtain nonadiabatic effects. In this paper we decompose the coupled differential equations of such a scheme in terms of the total orbital angular momentum and parity of the states, and reduce these equations to one-dimensional ones in a form suitable for calculation.

Keywords

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