Representations for Three-Body T-Matrix on Unphysical Sheets

Details Representations for Three-Body T-Matrix on Unphysical Sheets Representations for Three-Body T-Matrix on Unphysical Sheets

1995-05-21

arxiv.org/abs/nucl-th/9505028v2

Theor. Math. Phys. 107 (1996) 784-806; Teor. Mat. Fiz. 107:3 (1996) 450-477

Physics

Nuclear Physics

Nuclear Theory

123 Kb; LaTeX; Journal-ref was added (the title changed in the journal)

Scientific paper

10.1007/BF02070386

Explicit representations are formulated for the Faddeev components of three-body T-matrix continued analytically on unphysical sheets of the energy Riemann surface. According to the representations, the T-matrix on unphysical sheets is obviously expressed in terms of its components taken on the physical sheet only. The representations for T-matrix are used then to construct similar representations for analytical continuation of three-body scattering matrices and resolvent. Domains on unphysical sheets are described where the representations obtained can be applied.

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