English

Microscopic Origin and Universality Classes of the Efimov Three-Body Parameter

Quantum Gases 2014-03-25 v2 Other Condensed Matter Nuclear Theory Quantum Physics

Abstract

The low-energy spectrum of three particles interacting via nearly resonant two-body interactions in the Efimov regime is set by the so-called three-body parameter. We show that the three-body parameter is essentially determined by the zero-energy two-body correlation. As a result, we identify two classes of two-body interactions for which the three-body parameter has a universal value in units of their effective range. One class involves the universality of the three-body parameter recently found in ultracold atom systems. The other is relevant to short-range interactions that can be found in nuclear physics and solid-state physics.

Keywords

Cite

@article{arxiv.1403.0294,
  title  = {Microscopic Origin and Universality Classes of the Efimov Three-Body Parameter},
  author = {Pascal Naidon and Shimpei Endo and Masahito Ueda},
  journal= {arXiv preprint arXiv:1403.0294},
  year   = {2014}
}

Comments

5 pages; 1 table; 5 figures (citations added; published version)

R2 v1 2026-06-22T03:18:44.845Z