https://doi.org/10.1140/epja/i2011-11128-x
Regular Article - Theoretical Physics
Nuclear energy density functional from chiral two-nucleon aaand three-nucleon interactions
Physik Department, Technische Universität München, D-85747, Garching, Germany
* e-mail: nkaiser@ph.tum.de
Received:
26
July
2011
Revised:
4
October
2011
Accepted:
8
October
2011
Published online:
24
October
2011
An improved density-matrix expansion is used to calculate the nuclear energy density functional from chiral two- and three-nucleon interactions. The two-body interaction comprises long-range one- and two-pion exchange contributions and a set of contact terms contributing up to fourth power in momenta. In addition we employ the leading-order chiral three-nucleon interaction with its parameters c
E
, c
D
and c
1,3,4 fixed in calculations of nuclear few-body systems. With this input the nuclear energy density functional is derived to first order in the two- and three-nucleon interaction. We find that the strength functions F
∇(ρ) and F
so
(ρ) of the surface and spin-orbit terms compare in the relevant density range reasonably with the results of phenomenological Skyrme forces. However, an improved description requires (at least) the treatment of the two-body interaction to second order. This observation is in line with the deficiencies in the nuclear matter equations of state 
that remain in the Hartree-Fock approximation with low-momentum two- and three-nucleon interactions.
© SIF, Springer-Verlag Berlin Heidelberg, 2011
