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We discuss the binding of three unit charges qᵢ=±{}1,{∓}1,{∓}1, with various constituent masses mᵢ. It is found that the most convenient variables are the normalized inverse masses defined by αᵢ=mᵢ^-1/(m₁^-1+m₂^-1+m₃^-1). The region where this three-body system is stable against dissociation into a neutral atom and an isolated charge is restricted to a narrow band that is characterized by small values of {}α₂-α₃{} and includes the well-known cases H₂⁺, e⁺{e}^{{{-}}}e^-, and H^-. Some properties of this region of stability are presented. A method of proof of instability of e^-{pe}⁺$ is proposed.
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Martin et al. (1992) studied this question.
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