Mathematics – Operator Algebras
Scientific paper
1995-09-22
Math. Nachr. 187 (1997), 147-210
Mathematics
Operator Algebras
LaTeX file of the published version of the paper
Scientific paper
10.1002/mana.19971870110
Explicit representations for the Faddeev components of the three-body T-matrix continued analytically into unphysical sheets of the energy Riemann surface are formulated. According to the representations, the T-matrix in unphysical sheets is explicitly expressed in terms of its components taken in the physical sheet only. The representations for the T-matrix are then used to construct similar representations for the analytic continuation of the three-body scattering matrices and the resolvent. Domains on unphysical sheets are described where the representations obtained can be applied. A method for finding three-body resonances based on the Faddeev differential equations is proposed.
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