Extrapolation method for shell model calculations

ncation method for shell model calculations NOVEMBER 1994

A method of truncating the large shell model basis is outlined. It relies on the order given by the unperturbed energies of the basis states and on the constancy of their spreading widths. Both quantities can be calculated by a simple averaging procedure. The method is tested in the sd shell where the JT dimensions are of the order of a few thousand. It proves to be very effective in the middle...

Large-basis shell-model calculations for p-shell nuclei

Results of large-basis shell-model calculations for nuclei with A = 7 − 11 are presented. The effective interactions used in the study were derived microscopically from the Reid93 potential and take into account the Coulomb potential as well as the charge dependence of T = 1 partial waves. For A = 7, a 6h̄Ω model space was used, while for the rest of the studied nuclides, the calculations were p...

Mixed-Mode Shell-Model Calculations

A one-dimensional harmonic oscillator in a box is used to introduce the oblique-basis concept. The method is extended to the nuclear shell model by combining traditional spherical states, which yield a diagonal representation of the usual single-particle interaction, with collective configurations that track deformation. An application to 24Mg, using the realistic two-body interaction of Wilden...

Mixed-Symmetry Shell-Model Calculations

The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of an oblique-basis shell-model theory. The method is applied to nuclei by combining traditional spherical shell-model states with SU(3) collective configurations. An application to Mg, using the realistic two-body interaction of Wildenthal, is used to explore the validity of this oblique-basis, mixed-symm...

Extrapolation Method for Fuzzy Dierential Inclusions