Effective Field Theory for Few-Boson Systems
Abstract
We study universal bosonic few-body systems within the framework of effective field theory at leading order (LO). We calculate binding energies of systems of up to six particles and the atom-dimer scattering length. Convergence to the limit of zero-range two- and three-body interactions is shown, indicating that no additional few-body interactions need to be introduced at LO. Generalizations of the Tjon line are constructed, showing correlations between few-body binding energies and the binding energy of the trimer, for a given dimer energy. As a specific example, we implement our theory for 4He atomic systems, and show that the results are in surprisingly good agreement with those of sophisticated 4He-4He potentials. Potential implications for the convergence of the EFT expansion are discussed.
Cite
@article{arxiv.1607.01509,
title = {Effective Field Theory for Few-Boson Systems},
author = {Betzalel Bazak and Moti Eliyahu and Ubirajara van Kolck},
journal= {arXiv preprint arXiv:1607.01509},
year = {2017}
}