The angular momentum is separated in the Fadeev equations for the three-body scattering amplitude. The method used is symmetrical with respect to the three particles and does not introduce any relative angular momentum of two particles. The resulting equations are well suited to a numerical solution and can be applied to a study of the problem of overlapping resonances. They also provide a natural starting point for an extension of the three-body scattering amplitude to complex angular momentum.
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Roland Omnès (1964) studied this question.
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