Abstract
The oscillator representation is applied to calculate the energy spectrum of three-body Coulomb systems with total angular momentum J. For three-body Coulomb systems with J = 1 and arbitrary masses the region of stability is determined. For the systems (A + A − e −), (pe − C +), (pB − e −), and (D + e − e +), the values of the critical masses of the particles A, B, C, and D are obtained as m A = 2.22m e , m B = 1.49m e , m C = 2.11m e and m D = 4.15m e .
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