Quasiparticle interaction in nuclear matter with chiral three-nucleon forces

Holt, Jeremy W.; Kaiser, Norbert; Weise, W.

doi:10.1016/j.nuclphysa.2011.12.001

Cited by 36 publications

(37 citation statements)

References 39 publications

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“…[2]. Concerning the noncentral quasiparticle interaction, V med,3 N N produces no tensor forces in pure neutron matter.…”

Section: Landau Parameters From Chiral 3n Interactionmentioning

confidence: 97%

“…[2] for the case of symmetric nuclear matter where additional three-nucleon forces proportional to the low-energy constants c 4 , c D and c E are present. The qualitative similarities between the quasiparticle interaction in neutron matter and symmetric nuclear matter from three-body forces are due to the dominant role played by contributions proportional to the low-energy constant c 3 [2]. Neglecting effects from noncentral Fermi liquid parameters, the chiral three-neutron force at leading order tends to enhance the spin susceptibility χ of neutron matter (see eq.…”

Section: B Neutron Matter Quasiparticle Interactionmentioning

confidence: 99%

“…As seen already in ref. [2,32] both of these terms have the structure of one-pion exchange and are individually large with opposite sign. The cross-vector interaction from chiral three-nucleon forces is relatively small compared with the central quasiparticle interactions.…”

Section: B Neutron Matter Quasiparticle Interactionmentioning

confidence: 99%

“…In refs. [1,2] it was found that microscopic calculations of the quasiparticle interaction within many-body perturbation theory yield an accurate description of the nuclear matter compressibility, isospin asymmetry energy and spin-isospin response only with the inclusion of leading-order medium effects, which arise at second order in a perturbative calculation with two-body forces and at first order in a calculation with three-nucleon forces.…”

Section: Introductionmentioning

confidence: 99%

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Chiral Fermi liquid approach to neutron matter

2013

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We present a microscopic calculation of the complete quasiparticle interaction, including central as well as noncentral components, in neutron matter from high-precision two-and three-body forces derived within the framework of chiral effective field theory. The contributions from twonucleon forces are computed in many-body perturbation theory to first and second order (without any simplifying approximations). In addition we include the leading-order one-loop diagrams from the N 2 LO chiral three-nucleon force, which contribute to all Fermi liquid parameters except those associated with the center-of-mass tensor interaction. The relative-momentum dependence of the quasiparticle interaction is expanded in Legendre polynomials up to L = 2. Second-order Pauli blocking and medium polarization effects act coherently in specific channels, namely for the Landau parameters f1, h0 and g0, which results in a dramatic increase in the quasiparticle effective mass as well as a decrease in both the effective tensor force and the neutron matter spin susceptibility. For densities greater than about half nuclear matter saturation density ρ0, the contributions to the Fermi liquid parameters from the leading-order chiral three-nucleon force scale in all cases approximately linearly with the nucleon density. The largest effect of the three-nucleon force is to generate a strongly repulsive effective interaction in the isotropic spin-independent channel. We show that the leading-order chiral three-nucleon force leads to an increase in the spin susceptibility of neutron matter, but we observe no evidence for a ferromagnetic spin instability in the vicinity of the saturation density ρ0. This work sets the foundation for future studies of neutron matter response to weak and electromagnetic probes with applications to neutron star structure and evolution.a

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“…[2]. Concerning the noncentral quasiparticle interaction, V med,3 N N produces no tensor forces in pure neutron matter.…”

Section: Landau Parameters From Chiral 3n Interactionmentioning

confidence: 97%

Section: B Neutron Matter Quasiparticle Interactionmentioning

confidence: 99%

Section: B Neutron Matter Quasiparticle Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Chiral Fermi liquid approach to neutron matter

2013

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“…The inhomogeneous phase of nuclear matter en-countered in neutron star crusts depends also on gradient contributions to the energy density. Previous work has focused on the leading-order Hartree-Fock contribution to the isoscalar and isovector gradient couplings from the density matrix expansion [34][35][36], ab initio studies of the isovector gradient coupling strength from quantum Monte Carlo simulations of pure neutron matter [37,38], and nuclear response functions in Fermi liquid theory [39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Structure of neutron star crusts from new Skyrme effective interactions constrained by chiral effective field theory

Lim

Holt

2017

Phys. Rev. C

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We investigate the structure of neutron star crusts, including the crust-core boundary, based on new Skyrme mean field models constrained by the bulk-matter equation of state from chiral effective field theory and the ground-state energies of doubly-magic nuclei. Nuclear pasta phases are studied using both the liquid drop model as well as the Thomas-Fermi approximation. We compare the energy per nucleon for each geometry (spherical nuclei, cylindrical nuclei, nuclear slabs, cylindrical holes, and spherical holes) to obtain the ground state phase as a function of density. We find that the size of the Wigner-Seitz cell depends strongly on the model parameters, especially the coefficients of the density gradient interaction terms. We employ also the thermodynamic instability method to check the validity of the numerical solutions based on energy comparisons.

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Universal correlations in the nuclear symmetry energy, slope parameter, and curvature

Holt

Lim

2018

Physics Letters B

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From general Fermi liquid theory arguments, we derive correlations among the symmetry energy (J), its slope parameter (L), and curvature (Ksym) at nuclear matter saturation density. We argue that certain properties of these correlations do not depend on details of the nuclear forces used in the calculation. We derive as well a global parametrization of the density dependence of the symmetry energy that we show is more reliable, especially at low densities, than the usual Taylor series expansion around saturation density. We then benchmark these predictions against explicit results from chiral effective field theory. PACS numbers:The nuclear isospin-asymmetry energy, which characterizes the energy cost of converting protons into neutrons in an interacting many-body system, is an important organizing concept linking the properties of atomic nuclei to the structure and dynamics of neutron stars. In particular the isospin-asymmetry energy governs the proton fraction of dense matter in beta equilibrium, the thickness of neutron star crusts, and the typical radii of neutron stars [1][2][3][4][5][6]. For these reasons the nuclear isospinasymmetry energy is a primary focus of experimental investigations at current and next-generation rare-isotope facilities such as the Radioactive Isotope Beam Factory (RIBF), the Facility for Antiproton and Ion Research (FAIR), and the Facility for Rare Isotope Beams (FRIB).In recent years, theoretical [6-10] and experimental [11][12][13][14][15] studies have reduced the uncertainties on the isospin-asymmetry energy at and below the density scales of normal nuclei, but more challenging is to derive constraints at the higher densities reached in the cores of neutron stars. Given the experimental difficulties of creating and studying high-density, low-temperature matter in the lab, an alternative strategy has been to extract the coefficients in the Taylor series expansion of the isospinasymmetry energy about nuclear matter saturation density. For instance, the slope parameter has been shown to correlate strongly with neutron skin thicknesses in nuclei [13,16,17], nuclear electric dipole polarizabilities [18-23], and the difference in charge radii of mirror nuclei [24,25]. Determining the isospin-asymmetry energy curvature is more challenging [26-28] with larger associated uncertainties.A feature observed in many experimental and theoretical investigations is a nearly linear correlation between the value of the isospin-asymmetry energy at nuclear matter saturation density, its slope, and curvature (for a recent comprehensive analysis, see Ref. [29]). In Ref.[10] it was shown that even chiral nuclear potentials at * Electronic address: holt@physics.tamu.edu † Electronic address: ylim@tamu.edu next-to-leading order (NLO), which are rather simplistic and contain no three-body forces, exhibit a correlation slope consistent with previous microscopic calculations at N2LO and N3LO in the chiral expansion. This suggests that certain aspects of the correlation are ultimately associated with low-ener...

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Quasiparticle interaction in nuclear matter with chiral three-nucleon forces

Cited by 36 publications

References 39 publications

Chiral Fermi liquid approach to neutron matter

Chiral Fermi liquid approach to neutron matter

Structure of neutron star crusts from new Skyrme effective interactions constrained by chiral effective field theory

Universal correlations in the nuclear symmetry energy, slope parameter, and curvature

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