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

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

2011-11-09

arxiv.org/abs/1111.2083v2

Phys. Rev. C 85, 037303 (2012)

Physics

Nuclear Physics

Nuclear Theory

7 pages, 1 figure; V2 has a table showing the 3-body energies for two phenomenological energy-density functionals

Scientific paper

10.1103/PhysRevC.85.037303

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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