Quadrupole moments of spherical semi-magic nuclei within the self-consistent Theory of Finite Fermi Systems

TL;DR

This paper calculates quadrupole moments of semi-magic nuclei using a self-consistent theory based on Fayans' energy density functional, comparing two parameter sets and finding that one set aligns well with experimental data.

Contribution

It introduces a comparative analysis of two parameter sets within the self-consistent Theory of Finite Fermi Systems for quadrupole moments of semi-magic nuclei.

Findings

DF3-a functional agrees well with experimental quadrupole moments

Results vary significantly between the two functionals

The study enhances understanding of nuclear structure modeling

Abstract

The quadrupole moments of odd neighbors of semi-magic lead and tin isotopes and $N=50,N=82$ isotones are calculated within the self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. Two sets of parameters, DF3 and DF3-a, fixed previously are used. They differ by the spin-orbit and effective tensor force parameters, the latter being significantly bigger in the DF3-a functional. Results for the two functionals turned out to be rather different. The functional DF3-a leads to quadrupole moments in reasonable agreement with the experimental ones for most nuclei examined.