Linear-response calculation in the time-dependent density functional theory

TL;DR

This paper introduces a linear-response approach within time-dependent density functional theory, utilizing the finite amplitude method to efficiently analyze nuclear excitations and uncover correlations between E1 strength and neutron skin thickness.

Contribution

It presents the finite amplitude method as a practical alternative to traditional RPA calculations in TDDFT for nuclear excitations.

Findings

Identified a universal linear correlation between low-energy E1 strength and neutron skin thickness.

Demonstrated the effectiveness of the finite amplitude method in calculating giant resonances.

Provided insights into low-energy E1 modes in nuclei.

Abstract

Linear response calculations based on the time-dependent density-functional theory are presented. Especially, we report results of the finite amplitude method which we have recently proposed as an alternative and feasible approach to the (quasiparticle-)random-phase approximation. Calculated properties of the giant resonances and low-energy E1 modes are discussed. We found a universal linear correlation between the low-energy E1 strength and the neutron skin thickness.