Relativistic mean field theory in finite nuclei

The last decade has witnessed both quantitative and qualitative progresses in Shell Model studies, which have resulted in remarkable gains in our understanding of the structure of the nucleus. Indeed, it is now possible to diagonalize matrices in determinantal spaces of dimensionality up to 10^9 using the Lanczos tridiagonal construction, whose formal and numerical aspects we will analyze. Besides, many new approximation methods have been developed in order to overcome the dimensionality limitations. Furthermore, new effective nucleon-nucleon interactions have been constructed that contain both two and three-body contributions. The former are derived from realistic potentials (i.e., consistent with two nucleon data). The latter incorporate the pure monopole terms necessary to correct the bad saturation and shell-formation properties of the realistic two-body forces. This combination appears to solve a number of hitherto puzzling problems. In the present review we will concentrate on those results which illustrate the global features of the approach: the universality of the effective interaction and the capacity of the Shell Model to describe simultaneously all the manifestations of the nuclear dynamics either of single particle or collective nature. We will also treat in some detail the problems associated with rotational motion, the origin of quenching of the Gamow Teller transitions, the double beta-decays, the effect of isospin non conserving nuclear forces, and the specificities of the very neutron rich nuclei. Many other calculations--that appear to have ``merely'' spectroscopic interest--are touched upon briefly, although we are fully aware that much of the credibility of the Shell Model rests on them.

The shell model as a unified view of nuclear structure

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

Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei

Bound state properties of Borromean halo nuclei: 6He and 11Li

Interaction cross sections (${\ensuremath{\sigma}}_{I}$) for all known Li isotopes ($^{6}\mathrm{Li}$-$^{11}\mathrm{Li}$) and $^{7}\mathrm{Be}$, $^{9}\mathrm{Be}$, and $^{10}\mathrm{Be}$ on targets Be, C, and Al have been measured at 790 MeV/nucleon. Root mean square radii of these isotopes as well as He isotopes have been deduced from the ${\ensuremath{\sigma}}_{I}$ by a Glauber-type calculation. Appreciable differences of radii among isobars ($^{6}\mathrm{He}$-$^{6}\mathrm{Li}$, $^{8}\mathrm{He}$-$^{8}\mathrm{Li}$, and $^{9}\mathrm{Li}$-$^{9}\mathrm{Be}$) have been observed for the first time. The nucleus $^{11}\mathrm{Li}$ showed a remarkably large radius suggesting a large deformation or a long tail in the matter distribution.

/pdf/measurements-of-interaction-cross-sections-and-nuclear-radii-4n15y85k4c.pdf

Measurements of Interaction Cross-Sections and Nuclear Radii in the Light p Shell Region

https://escholarship.org/content/qt40n8x7p3/qt40n8x7p3.pdf?t=p0lm6b

K. Sugimoto

Papers

Measurements of Interaction Cross-Sections and Nuclear Radii in the Light p Shell Region

Measurements of interaction cross sections and radii of He isotopes