Second-order quasiparticle interaction in nuclear matter with chiral two-nucleon interactions

Abstract

We employ Landau's theory of normal Fermi liquids to study the quasiparticle interaction in nuclear matter in the vicinity of saturation density. Realistic low-momentum nucleon-nucleon interactions evolved from the Idaho N3LO chiral two-body potential are used as input potentials. We derive for the first time exact results for the central part of the quasiparticle interaction computed to second order in perturbation theory, from which we extract the L=0 and L=1 Landau parameters as well as some relevant bulk equilibrium properties of nuclear matter. The accuracy of the intricate numerical calculations is tested with analytical results derived for scalar-isoscalar boson exchange and (modified) pion exchange at second order. The explicit dependence of the Fermi liquid parameters on the low-momentum cutoff scale is studied, which provides important insight into the scale variation of phase-shift equivalent two-body potentials. This leads naturally to explore the role that three-nucleon forces must play in the effective interaction between two quasiparticles.

25 pages, 5 figures

References in corpus (6)

• Improved nuclear matter calculations from chiral low-momentum interactions
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Chiral three-nucleon interaction and the carbon-14 dating beta decay
• Nuclear matter with Brown-Rho-scaled Fermi liquid interactions
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• Quasi-particle interaction in nuclear matter from chiral pion-nucleon dynamics

Cited by in corpus (19)

• Equation of state of nuclear and neutron matter at third-order in perturbation theory from chiral EFT
• Nuclear chiral dynamics and thermodynamics
• Nuclear thermodynamics from chiral low-momentum interactions
• Divergence of the isospin-asymmetry expansion of the nuclear equation of state in many-body perturbation theory
• Linear response of homogeneous nuclear matter with energy density functionals
• Microscopic optical potential from chiral nuclear forces
• Chiral Fermi liquid approach to neutron matter
• Universal correlations in the nuclear symmetry energy, slope parameter, and curvature
• Nuclear energy density functional from chiral two- and three-nucleon interactions
• Quasiparticle interaction in nuclear matter with chiral three-nucleon forces
• Nuclear chiral dynamics and phases of QCD
• Effect of three-body forces on response functions in infinite neutron matter
• Tensor Fermi liquid parameters in nuclear matter from chiral effective field theory
• Linear Response Theory with finite-range interactions
• Renormalization group and Fermi liquid theory for many-nucleon systems
• Chiral nuclear dynamics with three-body forces
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Partial restoration of chiral symmetry in hot and dense neutron matter
• Nuclear Pairing from Chiral Pion-Nucleon Dynamics: Applications to Finite Nuclei