Compactness of the set of Faddeev and Lippmann--Schwinger equations for the three-body Coulomb problem

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The set of Faddeev and Lippmann--Schwinger integral equations for three-body systems involving Coulomb interactions deduced from a ``three-potential'' picture are shown to be compact for all energies and a method of solution is given.
4 pages, 1 ps figure, considerably rewritten

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