Properties of solutions for N-body Yakubovskii–Faddeev equations

Abstract

We give a revised presentation of the Yakubovskii–Faddeev formalism based on a systematic study of the N-body system chain structure. Completeness properties of the corresponding equations in differential form are considered. The expressions of physical and spurious solutions are given in terms of the N-body asymptotic partition Hamiltonians eigenvectors.

Progress in methods to solve the Faddeev and Yakubovsky differential equations

“…They not only found the "right" differential equations for the Yakubovsky components but also described the boundary-value problems for these equations that correspond to certain scattering processes [6]. In a somewhat more abstract form, the Yakubovsky differential equations can be seen in paper [7] by Benoist-Gueutal and L'Huillier, published also in 1982.…”