English

Four-body legacy of the Efimov effect

Atomic Physics 2009-06-02 v1 Nuclear Theory

Abstract

Armed with a new solution to the four-body problem, we reanalyze the recent Innsbruck observation of an Efimov resonance in three-body collisions of cesium atoms, and show that it provides evidence of new, universal four-body physics as well. Our theoretical treatment of four bosonic atoms in the limit of strong two-body attraction suggests a ubiquitous result: namely, that resonantly-bound states of all four atoms should occur whenever the two-body scattering length is a specific fraction (0.43) of the value where a three-body Efimov resonance occurs. A hitherto unanalyzed feature in the 2006 Innsbruck experiment supports this universal prediction, and it provides the first known evidence to date that a direct four-body recombination process plays a role. While we confirm the conclusion reached previously by some studies that no true Efimov effect exists for four particles, we demonstrate the existence of a universal class of four-body states that are intimately connected with three-body Efimov states.

Keywords

Cite

@article{arxiv.0810.3876,
  title  = {Four-body legacy of the Efimov effect},
  author = {Javier von Stecher and Jose P. D'Incao and Chris H. Greene},
  journal= {arXiv preprint arXiv:0810.3876},
  year   = {2009}
}

Comments

19 pages, 6 figures