Nuclear structure study using a hybrid approach of shell model and Gogny-type density functionals

TL;DR

This paper introduces a hybrid computational approach combining shell model and Gogny-type density functional theory to study nuclear structure, aiming to leverage the strengths of both methods for sd-shell nuclei and calcium isotopes.

Contribution

It presents a novel hybrid methodology integrating shell model and Gogny DFT, enhancing nuclear structure analysis beyond traditional single-method approaches.

Findings

Effective description of sd-shell nuclei and Ca isotopes.

Improved accuracy in nuclear property predictions.

Potential for broader application in nuclear physics.

Abstract

Nuclear density functional theory (DFT) is able to reproduce the saturation properties of nuclear matter, as well as properties of finite nuclei. Consequently, the DFT calculations are applicable to nuclei across a wide range of masses on nuclear chart. The Gogny-type density functional, which is equivalent to the mean-field calculations with finite-range density-dependent effective interactions, is a successful example. In contrast, the shell-model (configuration-interaction) calculation is a powerful tool to describe nuclear structure, especially spectroscopic properties. The shell model is able to take into account correlations beyond mean field in a truncated model space. In this work, we report investigation on $\textit{sd}$-shell nuclei and Ca isotopes using a hybrid approach of the shell model and Gogny-type DFT.