Speaker
Description
Many kinds of density functionals are designed not only to reproduce the basic properties of finite nuclei but also to satisfy the saturation properties of the nuclear matter. Density functional theories (DFT) can describe experimental data in various mass regions. The mean-field calculations using the functionals miss some many-body correlations. Moreover, the odd nuclei are often treated with the equal filling approximation in the DFT. The shell-model calculations can consider correlations beyond mean fields because these calculations can include configuration mixing.
In this study, we suggest a hybrid approach combining density functionals with shell-model calculations. The density-dependent term of the DFT is self-consistently determined by the shell-model ground-state wave function. This approach is expected to be applied from stable nuclei to unstable nuclei. We investigate the excitation spectra, the separation energies, and the reduced transition probabilities of not only the even-even nuclei but also the odd nuclei using this approach.
In this presentation, we will present the shell-model results of sd-shell and pf-shell nuclei using Gogny-type density functionals. These results almost reproduce experimental data. We tested Gogny D1S and GT2, and the GT2 results show better agreements of the excitation energies with experimental data in the pf-shell region.