Tensor Fermi liquid parameters in nuclear matter from chiral effective field theory

TL;DR

This paper calculates the quasiparticle interaction in symmetric nuclear matter using chiral effective field theory, including two- and three-body forces and second-order perturbative effects, revealing detailed insights into tensor and isovector interactions.

Contribution

It provides a comprehensive calculation of Fermi liquid parameters in nuclear matter from chiral forces, including noncentral interactions and medium polarization effects, up to twice saturation density.

Findings

Three-body forces enhance proton-neutron tensor interactions.

Large isovector cross-vector interaction observed.

Convergence of Landau parameter expansion analyzed.

Abstract

We compute from chiral two- and three-body forces the complete quasiparticle interaction in symmetric nuclear matter up to twice nuclear matter saturation density. Second-order perturbative contributions that account for Pauli-blocking and medium polarization are included, allowing for an exploration of the full set of central and noncentral operator structures permitted by symmetries and the long-wavelength limit. At the Hartree-Fock level, the next-to-next-to-leading order three-nucleon force contributes to all noncentral interactions, and their strengths grow approximately linearly with the nucleon density up that of saturated nuclear matter. Three-body forces are shown to enhance the already strong proton-neutron effective tensor interaction, while the corresponding like-particle tensor force remains small. We also find a large isovector cross-vector interaction but small center-of-mass tensor interactions in the isoscalar and isovector channels. The convergence of the expansion of the noncentral quasiparticle interaction in Landau parameters and Legendre polynomials is studied in detail.