Three-body systems in pionless effective field theory

Abstract

Investigations of three-body nuclear systems using pionless effective field theory (${\mathrm{EFT}}_{/\pi }$) are reviewed. The history of ${\mathrm{EFT}}_{/\pi }$ in $nd$ and $pd$ scattering is briefly discussed and emphasis put on the use of strict perturbative techniques. In addition renormalization issues appearing in $pd$ scattering are also presented. Bound state calculations are addressed and new perturbative techniques for describing them are highlighted. Three-body breakup observables in $nd$ scattering are also considered and the utility of ${\mathrm{EFT}}_{/\pi }$ for addressing them.

27 pages, 27 figures

References in corpus (8)

• An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering
• Proton-proton fusion in pionless effective theory
• The Three-Boson System at Next-To-Next-To-Leading Order
• Low energy proton-proton scattering in effective field theory
• Effective field theory of 3He
• The proton-deuteron system in pionless EFT revisited
• Constraints on a possible dineutron state from pionless EFT
• Energy dependence of the parity-violating asymmetry of circularly polarized photons in $d\vec{\gamma }\to np$ in pionless effective field theory