Abstract

Three-body scattering amplitudes based on the Amado-Lovelace version of the Faddeev equations are studied by means of the theory of L 2 kernels. It is shown by application of contour deformation techniques that the Fredholm representation of the solutions for physical scattering energies are rigorously justified. The theory developed is further used to give a new proof of the rotation-of-contours method and a method to calculate the eigenvalue spectrum of the equations for physical energies.

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