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AbstractAbstract
[en] In the N-body problem mappings between channel states and scattering states are studied. It is shown in particular that the (2sup(N-1)-1) two-fragment MOELLER operators introduced on the whole Hilbert space are sufficient to provide all multi-fragment scattering states. Hence, each of these states is uniquely determined by (2sup(N-1)-1) Lippmann-Schwinger (LS) equations. Rewriting every set of LS equations as one matrix equation, current few-body approaches are incorporated in a rather natural way. The typical uniqueness questions of such coupled systems are discussed, and it is shown that Faddeev-type couplings lead to unique equations for arbitrary N. (author)
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International Centre for Theoretical Physics, Trieste (Italy); p. 3-56; 1978; p. 3-56; Workshop on few-body problems in nuclear physics; Trieste, Italy; 13 - 16 Mar 1978; 38 refs.
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Report
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BIBLIOGRAPHIES, CHANNELING, EQUATIONS OF MOTION, EXCHANGE INTERACTIONS, FADDEEV EQUATIONS, FOUR-BODY PROBLEM, GREEN FUNCTION, HAMILTONIANS, HEISENBERG PICTURE, LIMITING VALUES, LIPPMANN-SCHWINGER EQUATION, MANY-BODY PROBLEM, MOELLER SCATTERING, QUANTUM FIELD THEORY, QUANTUM OPERATORS, S MATRIX, SCATTERING AMPLITUDES, THREE-BODY PROBLEM, TOPOLOGICAL MAPPING, TRANSITION AMPLITUDES, TWO-BODY PROBLEM
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