Energy spectrum and effective mass using a non-local 3-body interaction
Abstract
We recently proposed a nonlocal form for the 3-body induced interaction that is consistent with the Fock space representation of interaction operators but leads to a fractional power dependence on the density. Here we examine the implications of the nonlocality for the excitation spectrum. In the two-component weakly interacting Fermi gas, we find that it gives an effective mass that is comparable to the one in many-body perturbation theory. Applying the interaction to nuclear matter, it predicts a large enhancement to the effective mass. Since the saturation of nuclear matter is partly due to the induced 3-body interaction, fitted functionals should treat the effective mass as a free parameter, unless the two- and three-body contributions are determined from basic theory.
Cite
@article{arxiv.1111.2083,
title = {Energy spectrum and effective mass using a non-local 3-body interaction},
author = {Alexandros Gezerlis and G. F. Bertsch},
journal= {arXiv preprint arXiv:1111.2083},
year = {2012}
}
Comments
7 pages, 1 figure; V2 has a table showing the 3-body energies for two phenomenological energy-density functionals