ORALS

In this lecture we will focus on low-energy, non-relativistic quantum-mechanical three- and four-charge-particle systems which are of a significant interest in different fields of atomic, muonic and molecular physics. Some of the particles in the few-body systems may have additional nuclear strong interactions between them. An appropriate inclusion of these forces in calculations and estimation of their influence on the properties of the few-body systems is an important but challenging task. We will present different Coulomb three-body systems, which are related to the problems of the muon-Catalyzed-Fusion cycle (muCF-cycle). Secondly, certain few-body systems and problems in the field of the low-energy antiproton physics and anti-hydrogen formation and annihilation reactions will also be considered and discussed [1]. Additionally, we will present various theoretical methods and few-body techniques, which are based on the three-body Faddeev [2] and/or modified Faddeev-type equations [1]. Special attention will be given to comparison between theoretical results and available experimental data. Other theoretical numerical methods such as variational, adiabatic, and hyper-spherical will be briefly introduced and discussed as well.

References:
1. Sultanov R. A., Guster D. (2013) J. Phys. B 46, 215204.
2. Faddeev L. D. (1960) Zh. Eksp. Teor. Fiz. 39 1459; (1961) Sov. Phys.-JETP 12 1014.