# On formal scattering theory for differential Faddeev equations

## TL;DR

This paper develops a formal scattering theory for three-particle differential Faddeev equations, extending concepts from two-body scattering to more complex three-body interactions using matrix T-operators.

## Contribution

It introduces a formal framework for three-particle scattering based on differential Faddeev equations, linking T-operators with transition operators and Faddeev T-matrix components.

## Key findings

- Established relationships between T-operator and Faddeev components.
- Expressed the scattering solution in terms of the matrix T-operator.
- Extended two-body scattering formalism to three-particle differential equations.

## 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.