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.

Self-consistent mean-field models for nuclear structure

Table of experimental nuclear ground state charge radii: An update

Energy levels of light nuclei A=8,9,10

A consistent set of nuclear rms charge radii: properties of the radius surface R(N,Z) ☆

A ‘year-2001’ set of nuclear quadrupole moments, Q, is presented. Compared to the previous, ‘year-1992’ set, a major revision of the value or a considerable improvement of the accuracy is reported for 6 3Li, 7N, 19 9F (197 keV, I = 5/2), 11Na, 13Al, 21Sc, 22Ti, 26Fe (14 keV, I = 3/2 Mossbauer state), 31Ga, 32Ge, 77 34Se (250 keV, I = 5/2 state), 35Br, 36Kr, 37Rb, 39Y, 40Zr, 100 45Rh, 50Sn (24 keV, I = Mossbauer state), 53I, 54Xe, 55Cs and 83Bi.

Spectroscopic nuclear quadrupole moments

Nuclear spin and magnetic moment of 11Li

Hyperfine structures and isotope shifts of strontium isotopes with A=78 to A=98 and A=100 were measured by collinear fast beam laser spectroscopy. Nuclear spins, moments and changes in mean square charge radii are extracted from the data. The spins and moments of most of the odd isotopes are explained in the framework of the single particle model. The changes in mean square charge radii are compared with predictions of the droplet model and of Hartree-Fock-plus-BCS calculations. For the isotopes in the transitional regions below and above the N=50 shell closure, the inclusion of quadrupole zero point motion in the Droplet model describes part of the observed shell effect. An additional change in the surface region of the charge distribution at spherical shape is suggested by the microscopic model. Furthermore, we propose that the isotopes $^{78}\mathrm{Sr}$ and $^{80}\mathrm{Sr}$ may show an unusual shape-sharing structure, with different mean deformations in the ground and ${2}_{1}^{+}$ excited states.

G. Ulm

Papers

Nuclear spin and magnetic moment of 11Li

Systematics of nuclear ground state properties in Sr 78 – 100 by laser spectroscopy

Mean square charge radii of radium isotopes and octupole deformation in the 220–228Ra region

Spins, moments and mean square charge radii of 104–127In determined by laser spectroscopy

Xenon isotopes far from stability studied by collisional ionization laser spectroscopy