Universality in few-body Systems: from few-atoms to few-nucleons

Universality in Few-Body Systems

Low-energy universality in atomic few-body systems as a result of a large two-body scattering length has gained a lot of attention recently. Here, I discuss recent progress in describing the three-body recombination of cold atoms in terms of a finite set of universal scaling functions and review results for the recombination length of 133Cs atoms obtained with these functions. Furthermore, I wi...

Quantum Universality in Few-Body Systems

Few-body Systems the Few-body Coulombian Problem

Recent advances in the treatment of scattering of charged composite particles are reviewed. In a rst part I report on developments of the theory. Speciically I describe the recent completion of the derivation of the coordinate space asymptotic behaviour of the wave function for three charged particles in the continuum. This knowledge is increasingly being made use of in attempts tòderive' three...

Universality and Leading Corrections in Few-Body Systems

A large two-body scattering length leads to universal behavior in few-body systems. In particular, the three-body system displays interesting features such as exact discrete scale invariance in the bound state spectrum in the limit of infinite scattering length. Here, I will discuss how an effective field theory (EFT) can be used to study these features and how the finite range of the underlyin...

Universality in Few-body Systems with Large Scattering Length

Particles with short-range interactions and a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at short distances. In the 2-body sector, the universal properties are familiar and depend only on the scattering length a. In the 3-body sector for identical bosons, the universal properties include the existence o...