Geodesic
Representations for three-body $T$-matrix on unphysical sheets.~I
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 3, pp. 450-477

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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 is obviously expressed in terms of its components taken on the physical sheet only. The representations for $T$-matrix are used 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. 
@article{TMF_1996_107_3_a8,
     author = {A. K. Motovilov},
     title = {Representations for three-body $T$-matrix on unphysical {sheets.~I}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {450--477},
     publisher = {mathdoc},
     volume = {107},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_3_a8/}
}
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A. K. Motovilov. Representations for three-body $T$-matrix on unphysical sheets.~I. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 3, pp. 450-477. http://geodesic.mathdoc.fr/item/TMF_1996_107_3_a8/