Relativistic nuclear energy density functionals: Mean-field and beyond

Nikšić, Tamara; Vretenar, Dario; Ring, P.

doi:10.1016/j.ppnp.2011.01.055

Cited by 527 publications

(442 citation statements)

References 127 publications

(257 reference statements)

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“…The covariant density functional theory (CDFT) has attracted wide attentions for its successful description of many nuclear phenomena [29][30][31][32][33][34]. It includes naturally the nucleonic spin degree of freedom and automatically results in the nuclear spin-orbit potential with the empirical strength in a covariant way.…”

Section: Introductionmentioning

confidence: 99%

The limits of the nuclear landscape explored by the relativistic continuum Hartree–Bogoliubov theory

Xia

Lim

Zhao

et al. 2018

Atomic Data and Nuclear Data Tables

195

127

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The ground-state properties of nuclei with 8 Z 120 from the proton drip line to the neutron drip line have been investigated using the spherical relativistic continuum Hartree-Bogoliubov (RCHB) theory with the relativistic density functional PC-PK1. With the effects of the continuum included, there are totally 9035 nuclei predicted to be bound, which largely extends the existing nuclear landscapes predicted with other methods. The calculated binding energies, separation energies, neutron and proton Fermi surfaces, root-mean-square (rms) radii of neutron, proton, matter, and charge distributions, ground-state spins and parities are tabulated. The extension of the nuclear landscape obtained with RCHB is discussed in detail, in particular for the neutron-rich side, in comparison with the relativistic mean field calculations without pairing correlations and also other predicted landscapes. It is found that the coupling between the bound states and the continuum due to the pairing correlations plays an essential role in extending the nuclear landscape.The systematics of the separation energies, radii, densities, potentials and pairing energies of the RCHB calculations are also discussed. In addition, the α-decay energies and proton emitters based on the RCHB calculations are investigated.

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Section: Introductionmentioning

confidence: 99%

The limits of the nuclear landscape explored by the relativistic continuum Hartree–Bogoliubov theory

Xia

Lim

Zhao

et al. 2018

Atomic Data and Nuclear Data Tables

195

127

View full text Add to dashboard Cite

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“…The absolute majority of very succesful applications of CDFT to different physical phenomena have been performed at the Hartree level [19,20]. However, the inclusion of effective tensor force requires the transition to the HartreeFock (HF) level [9,21].…”

Section: Introductionmentioning

confidence: 99%

Impact of collective vibrations on quasiparticle states of open-shell odd-mass nuclei and possible interference with the tensor force

Afanasjev

Литвинова

2015

Phys. Rev. C

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The impact of collective vibrations on quasiparticle states of open-shell odd-mass nuclei and their possible interference with tensor force is investigated. The inclusion of collective vibrations and their coupling to single-quasiparticle motion improves the description of experimental spectra in such nuclei. We found that the energy splittings of the single-quasiparticle states, which are sensitive at the mean field level to the tensor part of the effective nucleon-nucleon interaction, are affected by quasiparticle-vibration coupling. Both quasiparticle-vibration coupling and effective tensor interaction act in the same direction. This suggests that effective tensor interaction has to be quenched as compared with previous estimates.

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“…In the CDFT [61][62][63][64][65][66][67][68][69][70], there are four types of covariant density functionals: the meson exchange or point-coupling nucleon interactions combined with the nonlinear or density dependent couplings [71][72][73][74][75][76][77] (see Ref. [78] for recent reviews).…”

Section: Formalismmentioning

confidence: 99%

Fission barriers from multidimensionally-constrained covariant density functional theories

Lü

Zhao

et al. 2017

EPJ Web Conf.

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Abstract. In recent years, we have developed the multidimensionally-constrained covariant density functional theories (MDC-CDFTs) in which both axial and spatial reflection symmetries are broken and all shape degrees of freedom described by β λµ with even µ, such as β 20 , β 22 , β 30 , β 32 , β 40 , etc., are included self-consistently. The MDC-CDFTs have been applied to the investigation of potential energy surfaces and fission barriers of actinide nuclei, third minima in potential energy surfaces of light actinides, shapes and potential energy surfaces of superheavy nuclei, octupole correlations between multiple chiral doublet bands in 78 Br, octupole correlations in Ba isotopes, the Y 32 correlations in N = 150 isotones and Zr isotopes, the spontaneous fission of Fm isotopes, and shapes of hypernuclei. In this contribution we present the formalism of MDC-CDFTs and the application of these theories to the study of fission barriers and potential energy surfaces of actinide nuclei.

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Relativistic nuclear energy density functionals: Mean-field and beyond

Cited by 527 publications

References 127 publications

The limits of the nuclear landscape explored by the relativistic continuum Hartree–Bogoliubov theory

The limits of the nuclear landscape explored by the relativistic continuum Hartree–Bogoliubov theory

Impact of collective vibrations on quasiparticle states of open-shell odd-mass nuclei and possible interference with the tensor force

Fission barriers from multidimensionally-constrained covariant density functional theories

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