Mean-Field Calculation Based on Proton-Neutron Mixed Energy Density Functionals

TL;DR

This paper develops a mean-field approach using proton-neutron mixed energy density functionals within the Skyrme framework, employing isocranking to study isobaric analog states in specific nuclei.

Contribution

It introduces a generalized Skyrme EDF model with proton-neutron mixing and applies isocranking to analyze isobaric analog states, extending previous methods.

Findings

Successful implementation of proton-neutron mixing in Skyrme EDF calculations.

Application of isocranking method to isobaric analog states.

Results for $A=40$ and $A=54$ nuclei demonstrate the model's effectiveness.

Abstract

We have performed calculations based on the Skyrme energy density functional (EDF) that includes arbitrary mixing between protons and neutrons. In this framework, single-particle states are generalized as mixtures of proton and neutron components. The model assumes that the Skyrme EDF is invariant under the rotation in isospin space and the Coulomb force is the only source of the isospin symmetry breaking. To control the isospin of the system, we employ the isocranking method, which is analogous to the standard cranking approach used for describing high-spin states. Here, we present results of the isocranking calculations performed for the isobaric analog states in $A = 40$ and $A = 54$ nuclei.