Quasiparticle interaction in nuclear matter with chiral three-nucleon forces

TL;DR

This paper derives the effective quasiparticle interaction in symmetric nuclear matter from chiral three-nucleon forces, revealing their significant impact on nuclear matter stability, the compression modulus, and spin-isospin response, with implications for nuclear models.

Contribution

It provides a first-order calculation of the Landau parameters including chiral three-nucleon forces, highlighting their effects on nuclear matter properties and stability.

Findings

Three-nucleon forces induce substantial repulsion in F_0, stabilizing nuclear matter.

Uncertainty in the compression modulus is large due to the low-energy constant c_3.

Three-nucleon forces cause small corrections to the nucleon effective mass and symmetry energy.

Abstract

We derive the effective interaction between two quasiparticles in symmetric nuclear matter resulting from the leading-order chiral three-nucleon force. We restrict our study to the L=0,1 Landau parameters of the central quasiparticle interaction computed to first order. We find that the three-nucleon force provides substantial repulsion in the isotropic spin- and isospin-independent component F_0 of the interaction. This repulsion acts to stabilize nuclear matter against isoscalar density oscillations, a feature which is absent in calculations employing low-momentum two-nucleon interactions only. We find a rather large uncertainty for the nuclear compression modulus due to a sensitive dependence on the low-energy constant c_3. The effective nucleon mass on the Fermi surface, as well as the nuclear symmetry energy, receive only small corrections from the leading-order chiral three-body force. Both the anomalous orbital g-factor and the Landau-Migdal parameter g'_{NN} (characterizing the spin-isospin response of nuclear matter) decrease with the addition of three-nucleon correlations. In fact, the anomalous orbital g-factor remains significantly smaller than its value extracted from experimental data, whereas g'_{NN} still compares well with empirical values. The inclusion of the three-nucleon force results in relatively small p-wave (L=1) components of the central quasiparticle interaction, thus suggesting an effective interaction of short range.