Relativistic Hartree?Bogoliubov theory: static and dynamic aspects of exotic nuclear structure

Vretenar, Dario; Afanasjev, A. V.; Lalazissis, G. A.; Ring, P.

doi:10.1016/j.physrep.2004.10.001

Cited by 1,175 publications

(1,340 citation statements)

References 256 publications

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“…At that time only four spherical magic nuclei were considered: 16 O, 40 Ca, 90 Zr, and 208 Pb. It was inferred that K A is not very sensitive to A, although a general conclusion was hindered by the small number of nuclei included in the analysis.…”

Section: Microscopic Calculation Of the Nuclear Incompressibilitmentioning

confidence: 99%

Incompressibility of finite fermionic systems: Stable and exotic atomic nuclei

et al. 2013

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The incompressibility of finite fermionic systems is investigated using analytical approaches and microscopic models. The incompressibility of a system is directly linked to the zero-point kinetic energy of constituent fermions, and this is a universal feature of fermionic systems. In the case of atomic nuclei, this implies a constant value of the incompressibility in medium-heavy and heavy nuclei. The evolution of nuclear incompressibility along Sn and Pb isotopic chains is analyzed using global microscopic models, based on both nonrelativistic and relativistic energy functionals. The result is an almost constant incompressibility in stable nuclei and systems not far from stability and a steep decrease in nuclei with pronounced neutron excess, caused by the emergence of a soft monopole mode in neutron-rich nuclei.

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Section: Microscopic Calculation Of the Nuclear Incompressibilitmentioning

confidence: 99%

Incompressibility of finite fermionic systems: Stable and exotic atomic nuclei

et al. 2013

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“…In addition to the free nucleon Lagrangian L free and the interaction terms contained in L (1) int , when applied to finite nuclei, the model must include the coupling L em of the protons to the electromagnetic field A µ with F µν = ∂ µ A ν − ∂ ν A µ , and a derivative (surface) term L (2) int . One could, of course, construct additional derivative terms in L (2) int , further generalized to include density dependent strength parameters. However, as we shall see, there appears to be no need in practical applications to go beyond the simplest ansatz (8) with a constant D S .…”

Section: Density-dependent Point Coupling Approachmentioning

confidence: 99%

Relativistic nuclear energy density functional constrained by low-energy QCD

et al. 2006

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A relativistic nuclear energy density functional is developed, guided by two important features that establish connections with chiral dynamics and the symmetry breaking pattern of low-energy QCD: a) strong scalar and vector fields related to inmedium changes of QCD vacuum condensates; b) the long-and intermediate-range interactions generated by one-and two-pion exchange, derived from in-medium chiral perturbation theory, with explicit inclusion of ∆(1232) excitations. Applications are presented for binding energies, radii of proton and neutron distributions and other observables over a wide range of spherical and deformed nuclei from 16 O to 210 P o. Isotopic chains of Sn and P b nuclei are studied as test cases for the isospin dependence of the underlying interactions. The results are at the same level of quantitative comparison with data as the best phenomenological relativistic mean-field models.

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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

201

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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Relativistic Hartree?Bogoliubov theory: static and dynamic aspects of exotic nuclear structure

Cited by 1,175 publications

References 256 publications

Incompressibility of finite fermionic systems: Stable and exotic atomic nuclei

Incompressibility of finite fermionic systems: Stable and exotic atomic nuclei

Relativistic nuclear energy density functional constrained by low-energy QCD

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

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