Universal behavior of few-boson systems using potential models

Abstract

The universal behavior of a three-boson system close to the unitary limit is encoded in a simple dependence of many observables in terms of few parameters. For example the product of the three-body parameter $κ_*$ and the two-body scattering length $a$, $κ_* a$ depends on the angle $ξ$ defined by $E_3/E_2=\tan^2ξ$. A similar dependence is observed in the ratio $a_{AD}/a$ with $a_{AD}$ the boson-dimer scattering length. We use a two-parameter potential to determine this simple behavior and, as an application, to compute $a_{AD}$ for the case of three $^4$He atoms.

presented at the 23rd European Conference on Few-Body Problems in Physics