Theory of bound states in the Coulomb three-body system with unit charges

Abstract
The existence of bound states and the discrete-spectrum classification in the three-body Coulomb nonrelativistic system with unit charges is considered. It is shown that in such systems the bound states exist not at arbitrary, but instead only at definite values of the mass ratios, which must lie in a ‘‘stable region.’’ The position of this ‘‘stable region’’ is studied for the bound ground S states.

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