Representations for Three-Body T-Matrix on Unphysical Sheets: Proofs

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

1995-05-21

arxiv.org/abs/nucl-th/9505029v2

Theor. Math. Phys. 107 (1996) 807-824; Teor. Mat. Fiz. 107:3 (1996) 478-500

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1007/BF02070387

A proof is given for the explicit representations which have been formulated in the author's previous work (nucl-th/9505028) for the Faddeev components of three-body T-matrix continued analytically on unphysical sheets of the energy Riemann surface. Also, the analogous representations for analytical continuation of the three-body scattering matrices and resolvent are proved. An algorithm to search for the three-body resonances on the base of the Faddeev differential equations is discussed.

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