Shell-model study using density functionals

5 Mar 2025, 15:24
1m
Main Lecture Hall (University of Aizu)

Main Lecture Hall

University of Aizu

90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.

Speaker

Kota Yoshinaga (University of Tsukuba)

Description

The parameter set of 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 nuclear matter. Consequently, calculations using density functionals can describe experimental data in various mass regions. However, the mean-field calculations using the functionals miss some many-body correlations. Especially, the odd nuclei are often treated with the equal filling approximation. In contrast, there are semi-empirical methods that construct a shell-model Hamiltonian by fitting experimental values. The shell-model calculations can consider correlations beyond mean fields because these calculations can include configuration mixing, but we must determine the model space and then fit the effective interactions with experimental results.
In this study, a hybrid approach is attempted by using density functionals to shell-model calculations. The resultant density-dependent interaction of the shell-model Hamiltonian is self-consistently determined. In contrast to semi-empirical methods, this hybrid model can compute shell-model Hamiltonian including the density-dependent force on the ground-state density. The purpose of this calculation is to investigate which nucleon-nucleon interactions make important contributions to the shell structure systematically from stable nuclei to unstable nuclei. We investigate excitation spectra, separation energies, and reduced transition probabilities of not only the even-even nuclei but also the odd nuclei with correlations beyond the mean-field.
In this presentation, we will present results in comparison with the experimental results from sd-shell nuclei to pf-shell nuclei. In particular, we will focus on the calculation with the isospin-dependent tensor force and show that the isospin dependence is necessary to describe characteristics in neutron-rich nuclei.

Type of contribution poster
Are you a student or postdoc? yes

Primary author

Kota Yoshinaga (University of Tsukuba)

Co-authors

Noritaka Shimizu (University of Tsukuba) Takashi Nakatsukasa (University of Tsukuba)

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