Three fermions in a box at the unitary limit: universality in a lattice model
Abstract
We consider three fermions with two spin components interacting on a lattice model with an infinite scattering length. Low lying eigenenergies in a cubic box with periodic boundary conditions, and for a zero total momentum, are calculated numerically for decreasing values of the lattice period. The results are compared to the predictions of the zero range Bethe-Peierls model in continuous space, where the interaction is replaced by contact conditions. The numerical computation, combined with analytical arguments, shows the absence of negative energy solution, and a rapid convergence of the lattice model towards the Bethe-Peierls model for a vanishing lattice period. This establishes for this system the universality of the zero interaction range limit.
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Cite
@article{arxiv.0705.1502,
title = {Three fermions in a box at the unitary limit: universality in a lattice model},
author = {Ludovic Pricoupenko and Yvan Castin},
journal= {arXiv preprint arXiv:0705.1502},
year = {2009}
}
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6 pages