Progress in methods to solve the Faddeev and Yakubovsky differential equations

TL;DR

This paper reviews recent numerical methods for solving the Faddeev-Yakubovsky differential equations, highlighting their advantages and recent advancements in addressing three- and four-body quantum systems.

Contribution

It provides a comprehensive review of numerical approaches and recent developments in solving Faddeev-Yakubovsky equations for few-body problems.

Findings

Overview of derivation and advantages of Faddeev-Yakubovsky equations

Summary of numerical methods for bound and scattering states

Discussion of recent methodological advancements

Abstract

We shortly recall the derivation of the Faddeev-Yakubovsky differential equations and point out their main advantages. Then we give a review of the numerical approaches used to solve the bound-state and scattering problems for the three- and four-body systems based on these equations. A particular attention is payed to the latest developments.