Abstract
It is demonstrated that the well-known answer for the multiple-scattering series (MSS) for a light particle interacting to a pair of static nucleons, calculated in the Fixed Centers Approximation (FCA), works well for a wide region of the two-body complex scattering length . However, this approach is not applicable in a narrow region surrounding the real positive half-axis, where the MSS does not converge. Simultaneously, for real positive 's the 3-body system forms an infinite set of bound states.
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