Density functional theory: methods and problems

Furnstahl, R. J.

doi:10.1088/0954-3899/31/8/014

Cited by 121 publications

(219 citation statements)

References 12 publications

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“…The obtained neutron-skin thicknesses are smaller than the calculations by the relativistic mean field (RMF) [17]. (It was pointed out that RMF calculations overestimate neutron-skin thicknesses [33]. )…”

Section: Calculationsmentioning

confidence: 68%

Density distributions of superheavy nuclei

2005

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We employed the Skyrme-Hartree-Fock model to investigate the density distributions and their dependence on nuclear shapes and isospins in the superheavy mass region. Different Skyrme forces were used for the calculations with a special comparison to the experimental data in 208 Pb. The ground-state deformations, nuclear radii, neutron-skin thicknesses and α-decay energies were also calculated. Density distributions were discussed with the calculations of single-particle wave functions and shell fillings. Calculations show that deformations have considerable effects on the density distributions, with a detailed discussion on the 292 120 nucleus. Earlier predictions of remarkably low central density are not supported when deformation is allowed for.

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Section: Calculationsmentioning

confidence: 68%

Density distributions of superheavy nuclei

2005

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“…The reason for this is related to the difference in the nuclear symmetry energy and, consequently, to the different neutron equation of state (EOS) which has been extensively studied in recent years [51][52][53][54]. It was shown that there exists a linear correlation between the derivative of the neutron EOS (or the pressure of neutron matter) and the neutron skin thickness in heavy nuclei (defined as r np = r n − r p ) in both Skyrme HF [55,56] and RMF [56,57] models. We note that also a relation between r np and both volume and surface symmetry energy parameters was established recently by Danielewicz [58] and Steiner et al [59] which provides a consistent description of nuclei with neutron excess.…”

Section: Fig 4 Difference Between Neutronmentioning

confidence: 99%

Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations

et al. 2007

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A study of the charge and matter densities and the corresponding rms radii for even-even isotopes of Ni, Kr, and Sn has been performed in the framework of the deformed self-consistent mean-field Skyrme HF+BCS method. The resulting charge radii and neutron skin thicknesses of these nuclei are compared with available experimental data, as well as with other theoretical predictions. The formation of a neutron skin, which manifests itself in an excess of neutrons at distances greater than the radius of the proton distribution, is analyzed in terms of various definitions. Formation of a proton skin is shown to be unlikely. The effects of deformation on the neutron skins in even-even deformed nuclei far from the stability line are discussed.

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“…It has been shown that the neutron skin thickness in heavy nuclei, like 208 Pb, calculated in mean-field models with either nonrelativistic or relativistic effective nuclear interactions, displays a linear correlation with the slope of the neutron equation of state (EOS) obtained with the same interactions at a neutron density ρ ≈ 0.10 fm −3 [37][38][39]. A similar correlation exists between R np and the density derivative of the bulk symmetry energy [13][14][15][16]33,40,41], as the latter is a measure of the pressure difference between neutrons and protons. These correlations have been exploited in recent years to gain a deeper understanding of the isospin properties of the effective nuclear interaction and to relate them with nuclear and astrophysical observations.…”

Section: Introductionmentioning

confidence: 96%

Neutron skin thickness in the droplet model with surface width dependence: Indications of softness of the nuclear symmetry energy

et al. 2009

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We analyze the neutron skin thickness in finite nuclei with the droplet model and effective nuclear interactions. The ratio of the bulk symmetry energy J to the so-called surface stiffness coefficient Q has in the droplet model a prominent role in driving the size of neutron skins. We present a correlation between the density derivative of the nuclear symmetry energy at saturation and the J /Q ratio. We emphasize the role of the surface widths of the neutron and proton density profiles in the calculation of the neutron skin thickness when one uses realistic mean-field effective interactions. Next, taking as experimental baseline the neutron skin sizes measured in 26 antiprotonic atoms along the mass table, we explore constraints arising from neutron skins on the value of the J /Q ratio. The results favor a relatively soft symmetry energy at subsaturation densities. Our predictions are compared with the recent constraints derived from other experimental observables. Though the various extractions predict different ranges of values, one finds a narrow window L ∼ 45-75 MeV for the coefficient L that characterizes the density derivative of the symmetry energy that is compatible with all the different empirical indications.

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Density functional theory: methods and problems

Abstract: Abstract. The application of density functional theory to nuclear structure is discussed, highlighting the current status of the effective action approach using effective field theory, and outlining future challenges.

Cited by 121 publications

References 12 publications

Density distributions of superheavy nuclei

Density distributions of superheavy nuclei

Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations

Neutron skin thickness in the droplet model with surface width dependence: Indications of softness of the nuclear symmetry energy

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