Three-body systems in pionless effective field theory

TL;DR

This paper reviews the application of pionless effective field theory to three-body nuclear systems, focusing on perturbative methods, renormalization issues, bound state calculations, and breakup observables.

Contribution

It introduces new perturbative techniques for bound state calculations and discusses renormalization challenges in three-body pionless EFT.

Findings

Successful application of perturbative techniques in three-body systems

Addressed renormalization issues in proton-deuteron scattering

Demonstrated EFT's utility in describing breakup observables

Abstract

Investigations of three-body nuclear systems using pionless effective field theory ($\mathrm{EFT}_{\not{\pi}}$) are reviewed. The history of $\mathrm{EFT}_{\not{\pi}}$ 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 $\mathrm{EFT}_{\not{\pi}}$ for addressing them.