Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective 3-Body Interaction for Mean-Field and Density-Functional
  Theory   Density functionals for nuclei usually include an effective 3-body
interaction that depends on a fractional power of the density. Using insights
from the many-body theory of the low-density two-component Fermi gas, we
consider a new, nonlocal, form for the energy functional that is consistent
with the Fock space representation of interaction operators. In particular,
there is a unique spatially nonlocal generalization of the contact form of the
interaction that preserves the density-to-the-seven-thirds dependence required
by the many-body theory. We calculate the ground state energies for particles
in a harmonic trap using the nonlocal induced 3-body interaction, and compare
them to numerically accurate Green's Function Monte Carlo calculations. Using
no free parameters, we find that a nonlocality in the space domain provides a
better description of the weak-coupling regime than the local-density
approximation.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ