Scheme for an accurate solution of Faddeev integral equations in configuration space Original Research Article

Faddeev equations in configuration space for three-atom scattering processes are formulated in integral form allowing for additive and nonadditive forces. The object of the equations are T–functions, that are the product of wave functions times potentials, that decay to zero in all directions. The driving and coupling terms are based on the two-body t–matrices, which describe the two-body correlations in each arrangement. However, three-atom forces are also included in the formalism. The solution is based on an accurate numerical spectral expansion method, and steps for a practical implementation are described for a simplified “toy” model, although numerical results are not yet available. This formulation appears to be a valuable alternative to current approaches.