Effective interactions and the nuclear shell-model

Effective interactions for the nuclear shell model

Various perturbative and non-perturbative many-body techniques are discussed in this work. Especially, we will focus on the summation of so-called Parquet diagrams with emphasis on applications to finite nuclei. Here, the subset of two-body Parquet equations will be discussed. A practical implementation of the corresponding equations for studies of effective interactions for finite nuclei is ou...

Effective Interactions for the Nuclear Shell Model

Shell-model calculations and realistic effective interactions

A review is presented of the development and current status of nuclear shell-model calculations in which the two-body effective interaction between the valence nucleons is derived from the free nucleon-nucleon potential. The significant progress made in this field within the last decade is emphasized, in particular as regards the so-called Vlow−k approach to the renormalization of the bare nucl...

EfFective interactions for the OplsOd nuclear shell - madel space

Shell-model interactions are constructed in the cross-shell model space connecting the Op and ls0d shells with due regard for the perturbative efFects of the neighboring Os and Oflp shells. The interactions have three distinctive Op-shell, cross-shell, and 1sOd-shell parts. The latter is taken to be the previously determined W interaction. The Op-shell interaction is represented by two-body mat...

Shell-Model Calculations with Realistic Effective Interactions

In this paper, we present some results of shell-model calculations employing effective interactions derived from the CD-Bonn free nucleon-nucleon potential. These concern 18O, 134Te, and 210Po, and are part of a comprehensive study of nuclei around doubly closed shells. Comparison of the calculated results with experimental data illustrates the degree of accuracy of modern realistic shell-model...