Universal Equation for Efimov States
Condensed Matter
2009-11-07 v3 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
Efimov states are a sequence of shallow 3-body bound states that arise when the 2-body scattering length is large. Efimov showed that the binding energies of these states can be calculated in terms of the scattering length and a 3-body parameter by solving a transcendental equation involving a universal function of one variable. We calculate this universal function using effective field theory and use it to describe the three-body system of 4He atoms. We also extend Efimov's theory to include the effects of deep 2-body bound states, which give widths to the Efimov states.
Keywords
Cite
@article{arxiv.cond-mat/0201281,
title = {Universal Equation for Efimov States},
author = {Eric Braaten and H. -W. Hammer and M. Kusunoki},
journal= {arXiv preprint arXiv:cond-mat/0201281},
year = {2009}
}
Comments
8 pages, revtex4, 2 ps figures, table with numerical values of universal function added