Abstract
The formal scattering theory is developed for the three-particle differential Faddeev equations. The theory is realised along the same line as in the standard two-body case. The solution of the scattering problem is expressed in terms of the matrix T-operator constructed from the matrix resolvent of the differential Faddeev equations. The relationships of the matrix T-operator with elements of transition operators and Faddeev T-matrix components have been established.
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Notes
See for instance [6] and references therein
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The author would like to thank Dr. E. Yarevsky for valuable comments.
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Dedicated to the memory of Ludwig Faddeev, one of my teachers.
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Yakovlev, S.L. On Formal Scattering Theory for Differential Faddeev Equations . Few-Body Syst 60, 25 (2019). https://doi.org/10.1007/s00601-019-1490-3
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DOI: https://doi.org/10.1007/s00601-019-1490-3