Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics

TL;DR

This paper reviews the use of time-dependent density functional theory with Skyrme functionals to model both perturbative and non-perturbative collective nuclear dynamics, highlighting recent developments and applications.

Contribution

It introduces a decoupled collective submanifold theory for slow nuclear motions beyond linear response within the TDDFT framework.

Findings

Demonstrates the effectiveness of TDDFT in modeling nuclear responses

Shows the feasibility of describing slow collective motions

Discusses numerical advantages and challenges

Abstract

We present the basic concepts and our recent developments in the density functional approaches with the Skyrme functionals for describing nuclear dynamics at low energy. The time-dependent density-functional theory (TDDFT) is utilized for the exact linear response with an external perturbation. For description of collective dynamics beyond the perturbative regime, we present a theory of a decoupled collective submanifold to describe for a slow motion based on the TDDFT. Selected applications are shown to demonstrate the quality of their performance and feasibility. Advantages and disadvantages in the numerical aspects are also discussed.