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

Abstract

We study isoscalar (IS) and isovector (IV) densities in 40 Ca in comparisons with theoretical densities calculated by Skyrme Hatree-Fock and relativistic mean-field 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 particlevibration 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 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.