Progress in methods to solve the Faddeev and Yakubovsky differential equations

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.

A review article based on a talk given at the 20th European Conference on Few-Body Problems in Physics

References in corpus (7)

• The structure of the atomic helium trimers: Halos and Efimov states
• Binding Energies and Scattering Observables in the 4^He_3 Atomic System
• Description of ${}^4$He tetramer bound and scattering states
• Ultra-low energy elastic scattering in a system of three He atoms
• The ${}^4$He tetramer ground state in the Faddeev-Yakubovsky differential equations formalism
• Ab-initio calculations of four-nucleon elastic scattering
• Ultracold scattering processes in three-atomic helium systems

Cited by in corpus (5)

• Efimov effect for a three-particle system with two identical fermions
• Some applications of the Faddeev-Yakubovsky equations to the cold-atom physics
• Automatic grid construction for few-body quantum mechanical calculations
• Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum
• On the virtual level of two-body interactions and applications to three-body systems in higher dimensions