Self-consistent Theory of Finite Fermi Systems vs Skyrme-Hartree-Fock method. Spherical nuclei

TL;DR

This paper reviews recent Fayans energy density functional results for spherical nuclei, comparing them with Skyrme EDF predictions, and discusses charge radii, excitation characteristics, and single-particle spectra with phonon-particle coupling effects.

Contribution

It provides a comparative analysis of Fayans and Skyrme EDFs for spherical nuclei, highlighting differences in predictions and including detailed phonon-particle coupling effects.

Findings

Fayans EDF shows competitive accuracy in charge radii predictions.

Differences observed in single-particle spectra between Fayans and Skyrme models.

Phonon-particle coupling effects significantly influence nuclear excitation properties.

Abstract

Recent results of the Fayans energy density functional (EDF) for spherical nuclei are reviewed. A comparison is made with predictions of several Skyrme EDFs. The charge radii and characteristics of the first 2^+ excitations in semi-magic nuclei are briefly discussed. The single-particle spectra of doubly magic nuclei are considered in more detail. The phonon-particle coupling effects are analyzed including the so-called tadpole term.