Three-body scattering hypervolumes of particles with short-range interactions
Quantum Gases
2017-10-12 v1 Nuclear Theory
Atomic Physics
Quantum Physics
Abstract
The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginary part is directly related to the three-body recombination rate in a quantum gas consisting of such particles. We derive an analytical formula of it for weak interactions, and perform its first numerical calculations for bosons with a variable nonzero-range potential. For attractive interactions, we identify several three-body resonances at which the three-body scattering hypervolume becomes divergent or anomalously large.
Keywords
Cite
@article{arxiv.1710.04147,
title = {Three-body scattering hypervolumes of particles with short-range interactions},
author = {Shangguo Zhu and Shina Tan},
journal= {arXiv preprint arXiv:1710.04147},
year = {2017}
}
Comments
5 pages, 2 figures