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The kinetic-energy operator derived by De Celles and Darling with center-of-mass motion separated is used to derive an orthonormal set of functions for the spherically symmetric states of a three-body bound-state system of arbitrary masses and charges. This approach allows the calculation of the energy E to be reduced to the solution of a coupled system of differential equations in one variable.
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Darling et al. (1975) studied this question.
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