Microscopic Origin and Universality Classes of the Efimov ThreeBody Parameter
Abstract
The lowenergy spectrum of three particles interacting via nearly resonant twobody interactions in the Efimov regime is set by the socalled threebody parameter. We show that the threebody parameter is essentially determined by the zeroenergy twobody correlation. As a result, we identify two classes of twobody interactions for which the threebody parameter has a universal value in units of their effective range. One class involves the universality of the threebody parameter recently found in ultracold atom systems. The other is relevant to shortrange interactions that can be found in nuclear physics and solidstate physics.
 Publication:

Physical Review Letters
 Pub Date:
 March 2014
 DOI:
 10.1103/PhysRevLett.112.105301
 arXiv:
 arXiv:1403.0294
 Bibcode:
 2014PhRvL.112j5301N
 Keywords:

 67.85.d;
 03.65.Ge;
 21.45.v;
 31.15.ac;
 Ultracold gases trapped gases;
 Solutions of wave equations: bound states;
 Fewbody systems;
 Highprecision calculations for fewelectron atomic systems;
 Condensed Matter  Quantum Gases;
 Condensed Matter  Other Condensed Matter;
 Nuclear Theory;
 Quantum Physics
 EPrint:
 5 pages