Analytical solution of the bosonic three-body problem
Other Condensed Matter
2008-04-17 v2
Abstract
We revisit the problem of three identical bosons in free space, which exhibits a universal hierarchy of bound states (Efimov trimers). Modelling a narrow Feshbach resonance within a two-channel description, we map the integral equation for the three-body scattering amplitude to a one-dimensional Schr\"odinger-type single-particle equation, where an analytical solution of exponential accuracy is obtained. We give exact results for the trimer binding energies, the three-body parameter, the threshold to the three-atom continuum, and the recombination rate.
Keywords
Cite
@article{arxiv.0802.0549,
title = {Analytical solution of the bosonic three-body problem},
author = {Alexander O. Gogolin and Christophe Mora and Reinhold Egger},
journal= {arXiv preprint arXiv:0802.0549},
year = {2008}
}
Comments
4 pages, published version