Density functional approaches to nuclear dynamics

TL;DR

This paper reviews nuclear density functional theory and its time-dependent applications, introducing practical numerical methods like finite amplitude and canonical-basis TDHFB, and demonstrating their feasibility through applications.

Contribution

It introduces practical numerical methods for time-dependent nuclear DFT calculations, including finite amplitude and canonical-basis TDHFB, with demonstrations of their effectiveness.

Findings

Feasibility of finite amplitude method demonstrated

Canonical-basis TDHFB shown to be practical

Applications validate the proposed methods

Abstract

We present background concepts of the nuclear density functional theory (DFT) and applications of the time-dependent DFT with the Skyrme energy functional for nuclear response functions. Practical methods for numerical applications of the time-dependent Hartree-Fock-Bogoliubov theory (TDHFB) are proposed; finite amplitude method and canonical-basis TDHFB. These approaches are briefly reviewed and some numerical applications are shown to demonstrate their feasibility.