From Brueckner Approach to Skyrme-type Energy Density Functional

Abstract

A Skyrme-like effective interaction is built up from the equation of state of nuclear matter. The latter is calculated in the framework of the Brueckner-Hartree-Fock approximation with two and three body forces. A complete Skyrme parametrization requires a fit of the neutron and proton effective masses and also the Landau parameters. The new parametrization is probed on the properties of a set of closed-shell and closed-subshell nuclei, including binding energies and charge radii.

7 pages, 9 postscript figures

References in corpus (12)

• The equation of state for nucleon matter and neutron star structure
• Asymmetric Nuclear Matter from Extended Brueckner-Hartree-Fock Approach
• Gamow-Teller strength and the spin-isospin coupling constants of the Skyrme energy functional
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. II: Role of the effective mass
• Interplay of Three-Body Interactions in the EOS of Nuclear Matter
• The Relativistic Dirac-Brueckner Approach to Asymmetric Nuclear Matter
• Isospin splitting of the nucleon mean field
• Low densities in nuclear and neutron matters and in the nuclear surface
• Constraining the neutron-proton effective mass splitting in neutron-rich matter
• Isospin dependence of nucleon effective mass in Dirac Brueckner-Hartree-Fock approach
• Landau parameters of nuclear matter in the spin and spin-isospin channels
• Neutrino mean free path in neutron stars

Cited by in corpus (97)

• Skyrme Interaction and Nuclear Matter Constraints
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Density slope of the nuclear symmetry energy from the neutron skin thickness of heavy nuclei
• Symmetry Energy II: Isobaric Analog States
• Electric dipole polarizability and the neutron skin
• Symmetry Energy I: Semi-Infinite Matter
• The equation of state for dense nucleonic matter from a metamodeling. I. Foundational aspects
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• The neutron skin thickness from the measured electric dipole polarizability in ${}^{68}$Ni, ${}^{120}$Sn, and ${}^{208}$Pb
• Core-crust transition in neutron stars: predictivity of density developments
• Nucleon Effective Masses in Neutron-Rich Matter
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Electric Dipole Polarizability in ${}^{208}$Pb: insights from the Droplet Model
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• A New Open-Source Nuclear Equation of State Framework based on the Liquid-Drop Model with Skyrme Interaction
• Spin and spin-isospin instabilities in asymmetric nuclear matter at zero and finite temperatures using Skyrme functionals
• Semi-classical equation of state and specific heats for neutron-star inner crust with proton shell corrections
• Self-interaction errors in nuclear energy density functionals
• The many facets of the (non relativistic) Nuclear Equation of State
• Tidal Deformability of Dark Matter Admixed Neutron Stars
• The Gamow-Teller response within Skyrme random-phase approximation plus particle-vibration coupling
• Single-nucleon potential decomposition of the nuclear symmetry energy
• Neutron star crusts from mean field models constrained by chiral effective field theory
• Two-fluid models of superfluid neutron star cores
• Spurious finite-size instabilities in nuclear energy density functionals
• Constraints on the nuclear symmetry energy from asymmetric-matter calculations with chiral NN and 3N interactions
• Symmetry energy of deformed neutron-rich nuclei
• Surface properties of neutron-rich exotic nuclei: A source for studying the nuclear symmetry energy
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D Mesh: Effect of triaxial shape
• Imprint of the symmetry energy on the inner crust and strangeness content of neutron stars
• Cluster formation in compact stars: relativistic versus Skyrme models
• Optimal pair density functional for description of nuclei with large neutron excess
• Extended Skyrme interactions for nuclear matter, finite nuclei and neutron stars
• EoS for hot neutron stars
• Entrainment in Superfluid Neutron Star Crusts: Hydrodynamic Description and Microscopic Origin
• Effect of pairing correlations on incompressibility and symmetry energy in nuclear matter and finite nuclei
• Effective interaction dependence of the liquid-gas phase transition in symmetric nuclear matter
• Densities and energies of nuclei in dilute matter
• Constraining the surface properties of effective Skyrme interactions
• In-medium nuclear cluster energies within the Extended Thomas-Fermi approach
• Compiled Properties of Nucleonic Matter and Nuclear and Neutron Star Models from Non-Relativistic and Relativistic Interactions
• Fitting Skyrme functionals using linear response theory
• Clusterized nuclear matter in the (proto-)neutron star crust and the symmetry energy
• Consistent Skyrme parametrizations constrained by GW170817
• Extended Skyrme interaction (II): ground state of nuclei and of nuclear matter
• Light Clusters and Pasta Phases in Warm and Dense Nuclear Matter
• The Barcelona-Catania-Paris-Madrid functional with a realistic effective mass
• Extended Skyrme interaction (I): spin fluctuations in dense matter
• Nuclear incompressibility and sound speed in uniform matter and finite nuclei
• Proton radioactivity half lives with Skyrme interactions
• Extended Skyrme Equation of State in asymmetric nuclear matter
• Confronting a set of Skyrme and ${\chi }_{EFT}$ predictions for the crust of neutron stars
• Indirect methods in nuclear astrophysics with relativistic radioactive beams
• Tidal Deformability of Neutron Stars with Realistic Nuclear Energy Density Functionals
• Decoupling of superfluid and normal modes in pulsating neutron stars
• Microscopic theory of the γ-decay of nuclear giant resonances
• Spin-isospin Response in Finite Nuclei from an Extended Skyrme Interaction
• Hot neutron stars and their equation of state
• Systematic analysis of inner crust composition using the extended Thomas-Fermi approximation with pairing correlations
• Neutron-skin thickness determines the surface tension of a compressible nuclear droplet
• Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. I. Low-temperature limit
• Instabilities in the Nuclear Energy Density Functional
• ${}^1$S${}_0$ pairing gaps, chemical potential and entrainment matrix in superfluid neutron-star cores for the Brussels-Montreal functionals
• Medium polarization in asymmetric nuclear matter
• Quantifying the uncertainties on spinodal instability in stellar matter through meta-modeling
• Low density expansion and isospin dependence of nuclear energy functional: comparison between relativistic and Skyrme models
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Latent heat of nuclear matter
• Incorporating Brueckner-Hartree-Fock correlations in the Density Matrix Expansion approach
• Gapless neutron superfluidity can explain the late time cooling of transiently accreting neutron stars
• A first step in the nuclear inverse Kohn-Sham problem: from densities to potentials
• Isospin mixing and Coulomb mixing in ground states of even-even nuclei
• Learning the structure of giant resonances from their $\gamma$-decay
• Plasmon excitations in homogeneous neutron star matter
• Sensitivity of $\beta$-decay rates to the radial dependence of the nucleon effective mass
• Gapless superfluidity in neutron stars: Normal-fluid fraction
• Gapless superfluidity in neutron stars: Thermal properties
• Systematic study of proton radioactivity of spherical proton emitters with Skyrme interactions
• Asymmetry of the neutrino mean free path in hot neutron matter under strong magnetic fields
• Superfluid fraction in the crystalline crust of a neutron star: role of BCS pairing
• Heat capacity of low density neutron matter: from quantum to classical regimes
• Asymmetry of the neutrino mean free path in partially spin polarized neutron matter within the Skyrme model
• Gapless neutron superfluidity in the crust of the accreting neutron stars KS 1731-260 and MXB 1659-29
• The nucleardatapy toolkit for simple access to experimental nuclear data, astrophysical observations, and theoretical predictions
• Global analysis of the non-uniformity of nucleon density distributions
• Nuclear multipole responses from chiral effective field theory interaction
• Pairing effects on neutron matter equation of state and symmetry energy at subsaturation densities
• Isoscalar and isovector giant resonances in 44Ca, 54Fe, 64,68Zn and 56,58,60,68Ni
• Sensitive dependence of isotope and isobar distribution of limiting temperatures on symmetry energy
• Van der Waals equation of state for asymmetric nuclear matter
• Hot and highly magnetized neutron star matter properties with Skyrme interactions
• Analysis of critical parameters for nonrelativistic models in symmetric nuclear matter
• Curvature correction term as a constraint for the Skyrme interaction
• Decomposition of EOS of Asymmetric Nuclear Matter into Different Spin-isospin Channels
• Basic quantities of the Equation of State in isospin asymmetric nuclear matter
• Superfluid fraction in the crystalline crust of a neutron star: role of quantum zero-point motion of ions
• Single particle potentials of asymmetric nuclear matter in different spin-isospin channels