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arXiv · 1111.2083

Energy spectrum and effective mass using a non-local 3-body interaction

Alexandros Gezerlis·G. F. Bertsch
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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.

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Alexandros Gezerlis, G. F. Bertsch. 2011-12-30. Energy spectrum and effective mass using a non-local 3-body interaction. https://doi.org/10.1103/physrevc.85.037303

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