Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei

Vautherin, D.; Brink, D.M.

doi:10.1103/physrevc.5.626

Cited by 2,026 publications

(1,959 citation statements)

References 28 publications

Supporting

Mentioning

1,883

Contrasting

Unclassified

Order By: Relevance

“…Finally we have the three-body term v 3b , which has been recently investigated by Sadoudi et al [20]. In the present article we substitute it with a simple density dependent term as [5] …”

Section: The Energy Density Functionalmentioning

confidence: 96%

“…The very first applications of the Skyrme pseudo-potential for calculating ground state properties of even-even nuclei was done by Brink and Vautherin [5] by means of a self-consistent Hartree-Fock (HF) calculation [6]. In this case, the authors slightly modified the form of the original Skyrme interaction [2,3] to simplify the resulting HF calculations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Becker¹,

Davesne²,

Meyer³

et al. 2015

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

Abstract. The possibility of adding a D-wave term to the standard Skyrme effective interaction has been widely considered in the past. Such a term has been shown to appear in the next-to-next-to-leading order of the Skyrme pseudo-potential. The aim of the present article is to provide the necessary tools to incorporate this term in a fitting procedure: first, a mean-field equation written in spherical symmetry in order to describe spherical nuclei and second, the response function to detect unphysical instabilities. With these tools it will be possible to build a new fitting procedure to determine the coupling constants of the new functional.

show abstract

“…Finally we have the three-body term v 3b , which has been recently investigated by Sadoudi et al [20]. In the present article we substitute it with a simple density dependent term as [5] …”

Section: The Energy Density Functionalmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Becker¹,

Davesne²,

Meyer³

et al. 2015

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

show abstract

“…Skyrme functionals have been discussed extensively in the literature [2,27,33,[49][50][51]54]. We restrict ourselves here to aspects relevant for this work.…”

Section: The Skyrme Energy Functionalmentioning

confidence: 99%

“…All coupling constants of (13a) and (13b) could be chosen to be density dependent. 1 In practice, however, the density-dependence is usually restricted to the C ρ t and C s t coupling constants, and chosen to be a non-integer power of the isoscalar density [54,56] …”

Section: The Skyrme Energy Functionalmentioning

confidence: 99%

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

2012

View full text Add to dashboard Cite

This article extends previous studies on the effect of tensor terms in the Skyrme energy density functional by breaking of time-reversal invariance. We have systematically probed the impact of tensor terms on properties of superdeformed rotational bands calculated within the cranked HartreeFock-Bogoliubov approach for different parameterizations covering a wide range of values for the isoscalar and isovector tensor coupling constants. We analyze in detail the contribution of the tensor terms to the energies and dynamical moments of inertia and study their impact on quasi-particle spectra. Special attention is devoted to the time-odd tensor terms, the effect of variations of their coupling constants and finite-size instabilities.

show abstract

“…Nuclear density functional theory (DFT) is a particularly useful tool for describing the ground-state properties of nuclei across the nuclear chart [1][2][3][4]. This approach is based on the pioneering works of Skyrme [5] and Vautherin and Brink [6,7] and might theoretically be based on the theorems by Hohenberg and Kohn [8]. It has been applied through the self-consistent mean-field computations with density-dependent energy functionals [9].…”

Section: Introductionmentioning

confidence: 99%

Occupation-number-based energy functional for nuclear masses

2012

View full text Add to dashboard Cite

We develop an energy functional with shell-model occupations as the relevant degrees of freedom and compute nuclear masses across the nuclear chart. The functional is based on Hohenberg-Kohn theory with phenomenologically motivated terms. A global fit of the 17-parameter functional to 2049 nuclear masses yields a root-mean-square deviation of χ = 1.31 MeV. Nuclear radii are computed within a model that employs the resulting occupation numbers.

show abstract

Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei

Cited by 2,026 publications

References 28 publications

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

Occupation-number-based energy functional for nuclear masses

Contact Info

Product

Resources

About