The Coulomb T matrix is examined in a two-body and a three-body Hilbert space. The purpose is to demonstrate how this function may be used to construct the Faddeev three-body kernel. In the process the apparent paradox of the indefiniteness of the Coulomb T matrix on the energy shell is resolved. The question of off-shell unitarity is discussed.
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Gerald L. Nutt (1968) studied this question.
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