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

Becker, Pierre; Davesne, D.; Meyer, J.; Pastore, Alessandro; Navarro, J.

doi:10.1088/0954-3899/42/3/034001

Cited by 20 publications

(33 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Compared to what is found elsewhere in the literature, the expressions (15) and (16) have been complemented in order to take into account the possible 3-and 4-body contributions to the Skyrme EDF (5) as introduced in Refs. [16,17].…”

Section: E Modified Thomas-fermi Approximationmentioning

confidence: 99%

Constraining the surface properties of effective Skyrme interactions

et al. 2016

View full text Add to dashboard Cite

Background: Deformation energy surfaces map how the total binding energy of a nuclear system depends on the geometrical properties of intrinsic configurations, thereby providing a powerful tool to interpret nuclear spectroscopy and large-amplitude collective-motion phenomena such as fission. The global behavior of the deformation energy is known to be directly connected to the surface properties of the effective interaction used for its calculation.Purpose: The precise control of surface properties during the parameter adjustment of an effective interaction is key to obtain a reliable and predictive description of nuclear properties. The most relevant indicator is the surface-energy coefficient a surf . There are several possibilities for its definition and estimation, which are not fully equivalent and require a computational effort that can differ by orders of magnitude. The purpose of this study is threefold: first, to identify a scheme for the determination of a surf that offers the best compromise between robustness, precision, and numerical efficiency; second, to analyze the correlation between values for a surf and the characteristic energies of the fission barrier of 240 Pu; and third, to lay out an efficient and robust procedure for how the deformation properties of the Skyrme energy density functional (EDF) can be constrained during the parameter fit. Methods: There are several frequently used possibilities to define and calculate the surface energy coefficient a surf of effective interactions built for the purpose of self-consistent mean-field calculations. The most direct access is provided by the model system of semi-infinite nuclear matter, but a surf can also be extracted from the systematics of binding energies of finite nuclei. Calculations can be carried out either self-consistently [Hartree-Fock (HF)], which incorporates quantal shell effects, or in one of the semiclassical extended Thomas-Fermi (ETF) or modified Thomas-Fermi (MTF) approximations. The latter is of particular interest because it provides a surf as a numerical integral without the need to solve self-consistent equations. Results for semi-infinite nuclear matter obtained with the HF, ETF, and MTF methods will be compared with one another and with a surf , as deduced from ETF calculations of very heavy fictitious nuclei. Results: The surface energy coefficient of 76 parametrizations of the Skyrme EDF have been calculated. Values obtained with the HF, ETF, and MTF methods are not identical, but differ by fairly constant systematic offsets. By contrast, extracting a surf from the binding energy of semi-infinite matter or of very large nuclei within the same method gives the same result within the numerical uncertainties. Conclusions: Despite having some drawbacks compared to the other methods studied here, the MTF approach provides sufficiently precise values for a surf such that it can be used as a very robust constraint on surface properties during a parameter fit at negligible additional cost. While the excitation energy of super...

show abstract

Section: E Modified Thomas-fermi Approximationmentioning

confidence: 99%

Constraining the surface properties of effective Skyrme interactions

et al. 2016

View full text Add to dashboard Cite

show abstract

“…The extended Skyrme pseudo-potential (NℓLO) contains central, spin-orbit and tensor components, whose general expressions have been deduced in Refs. [21,22].…”

Section: Introductionmentioning

confidence: 99%

Extended Skyrme pseudopotential deduced from infinite nuclear matter properties

et al. 2015

View full text Add to dashboard Cite

We discuss the contributions to the Equation of State for the NℓLO Skyrme pseudo-potential (ℓ=2,3). We show that by adding 4th and 6th order gradient terms, it is possible to fairly reproduce the spin/isospin decomposition of an equation of state obtained from ab-initio methods. Moreover, by inspecting the partial-wave decomposition of the equation of state, we show for the first time a possible way to add explicit constraints on the sign of the tensor terms of the Skyrme interaction.

show abstract

“…To improve the current situation, new theoretical efforts have been launched. For example, the novel EDFs with higher order terms [23][24][25][26] or enriched density dependence [27,28] could capture more physics and reduce systematic errors in theory.…”

Section: Discussionmentioning

confidence: 99%

Nuclear Energy Density Optimization: UNEDF2

Kortelainen

McDonnell

Nazarewicz

et al. 2015

Proceedings of the Conference on Advances in Radioactive Isotope Science (ARIS2014)

View full text Add to dashboard Cite

Kortelainen, M., McDonnell, J., Nazarewicz, W., Olsen, E., Reinhard, P.-G., Sarich, J., . . . Pastore, A. (2015 IntroductionThe development of a universal nuclear energy density functional (EDF) capable of explaining and predicting static and dynamic properties of atomic nuclei is one of the important goals in the low-energy nuclear physics. This was also one of the main research efforts in the UNEDF SciDAC-2 project [1]. During this project, the Skyrme-like EDFs unedf0 [2], unedf1 [3], and unedf2 [4] were developed. The nuclear EDF is a key element in the nuclear density functional theory (DFT). At present, DFT is the only microscopic theory which can be applied throughout the entire nuclear landscape. Because parameters of the nuclear EDF cannot be precalculated with sufficient accuracy from any theory, they must be calibrated to experimental input. An important aspect of the UNEDF project and the calibration of these EDFs was the joint collaboration of physicists, applied mathematicians, and computer scientists working together toward a common goal.With the unedf0 EDF we established our EDF parameter optimization procedure. By incorporating recent developments in optimization techniques and increased computational power, the optimization could be carried out for the first time at the deformed Hartree-Fock-Bogoliubov (HFB) level. Since deformation properties of unedf0 were found to be inadequate, the unedf1 optimization Nuclear Energy Density Optimization: UNEDF2 The parameters of the unedf2 nuclear energy density functional (EDF) model were obtained in an optimization to experimental data consisting of nuclear binding energies, proton radii, odd-even mass staggering data, fission-isomer excitation energies, and single particle energies. In addition to param-eter optimization, sensitivity analysis was done to obtain parameter uncertainties and correlations. The resulting unedf2 is an all-around EDF. However, the sensitivity analysis also demonstrated that the limits of current Skyrme-like EDFs have been reached and that novel approaches are called for.

show abstract

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

Cited by 20 publications

References 56 publications

Constraining the surface properties of effective Skyrme interactions

Constraining the surface properties of effective Skyrme interactions

Extended Skyrme pseudopotential deduced from infinite nuclear matter properties

Nuclear Energy Density Optimization: UNEDF2

Contact Info

Product

Resources

About