Journal ArticleDOI
Self-consistent mean-field models for nuclear structure
TLDR
In this paper, the authors review the present status of self-consistent mean field (SCMF) models for describing nuclear structure and low-energy dynamics and present several extensions beyond the mean-field model which are currently used.Abstract:
The authors review the present status of self-consistent mean-field (SCMF) models for describing nuclear structure and low-energy dynamics. These models are presented as effective energy-density functionals. The three most widely used variants of SCMF's based on a Skyrme energy functional, a Gogny force, and a relativistic mean-field Lagrangian are considered side by side. The crucial role of the treatment of pairing correlations is pointed out in each case. The authors discuss other related nuclear structure models and present several extensions beyond the mean-field model which are currently used. Phenomenological adjustment of the model parameters is discussed in detail. The performance quality of the SCMF model is demonstrated for a broad range of typical applications.read more
Citations
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Density functional theory: Its origins, rise to prominence, and future
TL;DR: Density functional theory has been spectacularly successful in physics, chemistry, and related fields, and it keeps finding new applications as mentioned in this paper. But it is difficult to apply density functional theory to the real world.
Transition probability from the ground to the first-excited 2^+ state of even-even nuclides
TL;DR: In this paper, the reduced electric quadrupole transition probability, B(E2)↑, from the ground state to the first-excited 2+ state of even-even nuclides are given in Table I.
Journal ArticleDOI
Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
TL;DR: In this paper, the authors review the major progress achieved during the last decade in isospin physics with heavy ion reactions and discuss future challenges to the most important issues in this field.
Journal ArticleDOI
Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
TL;DR: The theoretical and experimental issues relevant to neutrinoless double beta decay are reviewed in this paper, with significant emphasis on proposals favored by recent panel reviews, and the importance of and challenges in the calculation of nuclear matrix elements that govern the decay are considered in detail.
Journal ArticleDOI
The shell model as a unified view of nuclear structure
TL;DR: In this article, the Lanczos tridiagonal construction has been used to diagonalize matrices in determinantal spaces of dimensionality up to 10^9 using the Shell Model.
References
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Journal ArticleDOI
Self-Consistent Equations Including Exchange and Correlation Effects
Walter Kohn,L. J. Sham +1 more
TL;DR: In this paper, the Hartree and Hartree-Fock equations are applied to a uniform electron gas, where the exchange and correlation portions of the chemical potential of the gas are used as additional effective potentials.
Journal ArticleDOI
Inhomogeneous Electron Gas
P. C. Hohenberg,Walter Kohn +1 more
TL;DR: In this article, the ground state of an interacting electron gas in an external potential was investigated and it was proved that there exists a universal functional of the density, called F[n(mathrm{r})], independent of the potential of the electron gas.
Journal ArticleDOI
Self-interaction correction to density-functional approximations for many-electron systems
John P. Perdew,Alex Zunger +1 more
TL;DR: In this paper, the self-interaction correction (SIC) of any density functional for the ground-state energy is discussed. But the exact density functional is strictly selfinteraction-free (i.e., orbitals demonstrably do not selfinteract), but many approximations to it, including the local spin-density (LSD) approximation for exchange and correlation, are not.
Journal ArticleDOI
Density-Functional Theory for Time-Dependent Systems
Erich Runge,E. K. U. Gross +1 more
TL;DR: In this article, a time-dependent version of density functional theory was proposed to deal with the non-perturbative quantum mechanical description of interacting many-body systems moving in a very strong timedependent external field.
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