Isovector density and isospin impurity in $^{40} \mathrm{Ca}$

TL;DR

This paper investigates the isovector density and isospin impurity in calcium-40 using Skyrme Hartree-Fock models and particle-vibration coupling, revealing correlations and extracting experimental isospin impurity data.

Contribution

It introduces a combined theoretical approach to analyze isospin mixing and impurity in ${}^{40} ext{Ca}$, linking IV density with experimental data for the first time.

Findings

Clear correlation between IV density and isospin impurity.

Effect of charge symmetry and charge independence breaking forces on IV density.

First extraction of experimental isospin impurity from IV density.

Abstract

We study isoscalar (IS) and isovector (IV) densities in ${}^{40} \mathrm{Ca}$ in comparison with theoretical densities calculated by Skyrme Hartree-Fock (HF) models. The charge symmetry breaking and the charge independence breaking forces are introduced to study the effect on the IV density. The effect of isospin mixing in the ground-state density is examined by using the particle-vibration coupling model taking into account the collective IV giant monopole excitation. We show a clear correlations in the IV density and isospin impurity of ${}^{40} \mathrm{Ca}$ within the HF and the particle-vibration coupling model. We extract for the first time the experimental information of isospin impurity from the magnitude of IV density.