paper

On formal scattering theory for differential Faddeev equations

arXiv:1903.02946 · doi:10.1007/s00601-019-1490-3

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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