Global performance of covariant energy density functionals: Ground state observables of even-even nuclei and the estimate of theoretical uncertainties

Agbemava, S. E.; Afanasjev, A. V.; Ray, D.; Ring, P.

doi:10.1103/physrevc.89.054320

Cited by 227 publications

(466 citation statements)

References 156 publications

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“…The phenomenological fit of such functionals to bulk properties includes such effects in a somewhat averaged way, and as a consequence these functionals are relatively successful in the region of stable nuclei. Systematic investigations of relativistic density functionals [127,128] have shown that the various types of functionals produce rather similar results in the region of stable nuclei, where their parameters have been adjusted. There are, however, essential differences far from stability, and they are often caused by differences in the single-particle energies in those regions [129].…”

Section: Description Of Nucleus As a Relativistic Systemmentioning

confidence: 99%

Towards an ab initio covariant density functional theory for nuclear structure

Shen

Liang

Long

et al. 2019

Progress in Particle and Nuclear Physics

102

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Nuclear structure models built from phenomenological mean fields, the effective nucleon-nucleon interactions (or Lagrangians), and the realistic bare nucleon-nucleon interactions are reviewed. The success of covariant density functional theory (CDFT) to describe nuclear properties and its influence on Brueckner theory within the relativistic framework are focused upon. The challenges and ambiguities of predictions for unstable nuclei without data or for high-density nuclear matter, arising from relativistic density functionals, are discussed. The basic ideas in building an ab initio relativistic density functional for nuclear structure from ab initio calculations with realistic nucleon-nucleon interactions for both nuclear matter and finite nuclei are presented. The current status of fully self-consistent relativistic Brueckner-Hartree-Fock (RBHF) calculations for finite nuclei or neutron drops (ideal systems composed of a finite number of neutrons and confined within an external field) is reviewed. The guidance and perspectives towards an ab initio covariant density functional theory for nuclear structure derived from the RBHF results are provided. Summary and Perspectives 521. Introduction Brief introduction on nuclear theoryThe discoveries of radioactivity by Becquerel [1] and the Curies [2, 3] and the existence of a compact nucleus at the center of an atom by Rutherford et al. [4] opened the door of nuclear physics. During the hundred years of development in nuclear physics, there emerged several significant milestones, including the discovery of the neutron by Chadwick [5] which verified the composition of the nucleus as protons and neutrons, the meson-exchange theory for the strong interaction between nucleons by Yukawa [6], the independent-particle shell model of the nucleus by Goeppert-Mayer [7], Haxel, Jensen, and Suess [8], and the collective Hamiltonian for nuclear rotation and vibration by Rainwater [9], Bohr and Mottelson [10,11], etc.With the understanding of the composition of a nucleus as protons and neutrons [5] and the meson-exchange theory for the strong interaction between the nucleons [6], nuclear physicists hoped to describe the nucleus, a quantum many-body system, from the underlying nucleon-nucleon interaction. Euler, a student of Heisenberg, assumed the nuclear force as a two-body (2N) interaction with a Gaussian shape and calculated the infinite nuclear system, i.e., homogeneous nuclear matter, using second-order perturbation theory [12]. However, the strong repulsive core of the realistic nuclear force [13] prevents the application of perturbation theory.On the other hand, the nuclear structure model with a phenomenological mean field achieved great success. Goeppert-Mayer [7], Haxel, Jensen, and Suess [8] introduced a strong spin-orbit potential and proposed the nuclear independentparticle shell model that successfully explained the conventional magic numbers in nuclei. Rainwater [9], Bohr and Mottelson [10, 11] explored the nuclear deformation and proposed the nuclear collective mode...

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Section: Description Of Nucleus As a Relativistic Systemmentioning

confidence: 99%

Towards an ab initio covariant density functional theory for nuclear structure

Shen

Liang

Long

et al. 2019

Progress in Particle and Nuclear Physics

102

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“…Much of the nuclear landscape of bound nuclides remains unexplored [1,2]. The one-and two-proton drip lines lie relatively close to the line of beta stability due to the presence of the Coulomb barrier that has a confining effect on the proton density.…”

mentioning

confidence: 96%

Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei

et al. 2020

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Background: The limits of the nuclear landscape are determined by nuclear binding energies. Beyond the proton drip lines, where the separation energy becomes negative, there is not enough binding energy to prevent protons from escaping the nucleus. Predicting properties of unstable nuclear states in the vast territory of proton emitters poses an appreciable challenge for nuclear theory as it often involves far extrapolations. In addition, significant discrepancies between nuclear models in the proton-rich territory call for quantified predictions.Purpose: With the help of Bayesian methodology, we mix a family of nuclear mass models corrected with statistical emulators trained on the experimental mass measurements, in the proton-rich region of the nuclear chart.Methods: Separation energies were computed within nuclear density functional theory using several Skyrme and Gogny energy density functionals. We also considered mass predictions based on two models used in astrophysical studies. Quantified predictions were obtained for each model using Bayesian Gaussian processes trained on separation-energy residuals and combined via Bayesian model averaging. Results:We obtained a good agreement between averaged predictions of statistically corrected models and experiment. In particular, we quantified model results for one-and two-proton separation energies and derived probabilities of proton emission. This information enabled us to produce a quantified landscape of proton-rich nuclei. The most promising candidates for two-proton decay studies have been identified. Conclusions:The methodology used in this work has broad applications to model-based extrapolations of various nuclear observables. It also provides a reliable uncertainty quantification of theoretical predictions.

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“…The plenitude of available data has allowed for detailed investigations of the evolution of nuclear radii for isotope sequences along virtually the entire periodic table. These studies have revealed unexpected trends, especially close to magic numbers, which serve as benchmarks for nuclear structure calculations [3].…”

Section: Introductionmentioning

confidence: 99%

Effect of realistic nuclear charge distributions on isotope shifts and progress towards the extraction of higher-order nuclear radial moments

2016

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Atomic spectral lines from different isotopes display a small shift in energy, commonly referred to as the line isotope shift. One of the components of the isotope shift is the field shift, which depends on the extent and the shape of the nuclear charge density distribution. The purpose of this work is to investigate how sensitive field shifts are with respect to variations in the nuclear size and shape and what information of nuclear charge distributions can be extracted from measurements. Nuclear properties are obtained from nuclear density functional theory calculations based on the Skyrme-Hartree-Fock-Bogoliubov approach. These results are combined with multiconfiguration Dirac-Hartree-Fock methods to obtain realistic field shifts and it is seen that phenomena such as nuclear deformation and variations in the diffuseness of nuclear charge distributions give measurable contributions to the isotope shifts. Using a different approach, we demonstrate the possibility to extract information concerning the nuclear charge densities from the observed field shifts. We deduce that combining methods used in atomic and nuclear structure theory gives an improved description of field shifts and that extracting additional nuclear information from measured isotope shifts is possible in the near future with improved experimental methods.

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Global performance of covariant energy density functionals: Ground state observables of even-even nuclei and the estimate of theoretical uncertainties

Cited by 227 publications

References 156 publications

Towards an ab initio covariant density functional theory for nuclear structure

Towards an ab initio covariant density functional theory for nuclear structure

Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei

Effect of realistic nuclear charge distributions on isotope shifts and progress towards the extraction of higher-order nuclear radial moments

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