Efimov physics in a finite volume

TL;DR

This paper studies how Efimov states of three bosons with large scattering length are affected by a finite cubic volume, using effective field theory to analyze energy dependence and renormalization.

Contribution

It provides the first detailed calculation of Efimov state energies in a finite volume and verifies the renormalization within this context.

Findings

Efimov states' energies depend on the box size

Effective field theory remains renormalized in finite volume

Finite volume modifies the universal properties of Efimov states

Abstract

Three bosons with large scattering length show universal properties that do not depend on the details of the interaction at short distances. In the three-boson system, these properties include a geometric spectrum of shallow three-body states called "Efimov states" and log-periodic dependence of scattering observables on the scattering length. We investigate the modification of the Efimov states in a finite cubic box and calculate the dependence of their energies on the box size using effective field theory. We explicitly verify the renormalization of the effective field theory in the finite volume.