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Title: Does the multiple-scattering series in the pion-deuteron scattering actually converge?

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 a. However, this approach is not applicable in a narrow region surrounding the real positive a half-axis, where the MSS does not converge. Simultaneously, for real positive a's the 3-body system forms an infinite set of bound states.
Authors:
; ;  [1]
  1. State Scientific Center Institute for Theoretical and Experimental Physics (Russian Federation)
Publication Date:
OSTI Identifier:
22149294
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 76; Journal Issue: 7; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; BOUND STATE; DEUTERONS; MULTIPLE SCATTERING; NUCLEONS; PIONS; SCATTERING LENGTHS; SIMULATION; TWO-BODY PROBLEM