Particle vibrational coupling in covariant density functional theory

TL;DR

This paper combines covariant density functional theory with Landau-Migdal theory to accurately describe particle-vibrational coupling and giant resonance widths in nuclei, improving agreement with experimental data.

Contribution

It presents a parameter-free method integrating CDFT and TFFS to account for energy dependence and complex configurations in nuclear excitations.

Findings

Excellent agreement with experimental data for doubly magic nuclei.

Accurate description of giant resonance widths.

Method avoids double counting through subtraction procedure.

Abstract

A consistent combination of covariant density functional theory (CDFT) and Landau-Migdal Theory of Finite Fermi Systems (TFFS) is presented. Both methods are in principle exact, but Landau-Migdal theory cannot describe ground state properties and density functional theory does not take into account the energy dependence of the self-energy and therefore fails to yield proper single-% particle spectra as well as the coupling to complex configurations in the width of giant resonances. Starting from an energy functional, phonons and their vertices are calculated without any further parameters. They form the basis of particle-vibrational coupling leading to an energy dependence of the self-energy and an induced energy-dependent interaction in the response equation. A subtraction procedure avoids double counting. Applications in doubly magic nuclei and in a chain of superfluid nuclei show excellent agreement with experimental data.