Three-atom scattering via the Faddeev scheme in configuration space

TL;DR

This paper formulates Faddeev equations in configuration space for three-atom scattering, providing an alternative to hyperspherical harmonic methods and including additive and nonadditive forces.

Contribution

It introduces a new formulation of Faddeev equations in configuration space with explicit partial wave decomposition for three-atom scattering.

Findings

Provides explicit partial wave decomposition

Allows for additive and nonadditive forces

Offers an alternative to hyperspherical harmonic methods

Abstract

Faddeev equations in configuration space and integral form for three-atom scattering processes are formulated allowing for additive and nonadditive forces. The explicit partial wave decomposition is displayed. This formulation appears to be a valuable alternative to current approaches based on hyperspherical harmonic expansion methods of the Schr\"odinger equation.