English

Approaching universality in weakly-bound three-body systems

Atomic and Molecular Clusters 2013-05-30 v1 Nuclear Theory Quantum Physics

Abstract

Atom-dimer scattering below the three-body break-up threshold is studied for a system of three identical bosons. The atom-dimer scattering length and the energy of the most weakly-bound three-body state are shown to be strongly correlated. An appropriate rescaling of the observables reveals the subtlety of the correlation, and serves to identify universal trends in the unitary limit of divergent two-body scattering length. The correlation provides a new quantitative measure of the degree of universality in three-body systems with short-ranged interactions, as well as a consistency check of effective field theories and other theoretical models.

Keywords

Cite

@article{arxiv.1109.4656,
  title  = {Approaching universality in weakly-bound three-body systems},
  author = {Vladimir Roudnev and Michael Cavagnero},
  journal= {arXiv preprint arXiv:1109.4656},
  year   = {2013}
}

Comments

4 pages, 5 figures

R2 v1 2026-06-21T19:08:29.434Z