The nuclear symmetry energy and other isovector observables from the point of view of nuclear structure

TL;DR

This paper reviews methods to extract nuclear symmetry energy parameters from isovector excitations and discusses the robustness of correlations between nuclear observables and equation of state parameters using covariance analysis.

Contribution

It introduces covariance analysis to assess the robustness of correlations between nuclear observables and symmetry energy parameters, highlighting counter-intuitive findings.

Findings

Covariance analysis helps evaluate correlation robustness.

Some correlations between observables and parameters are less robust than expected.

The approach reveals surprising insights into nuclear structure and equation of state relations.

Abstract

In this contribution, we review some works related with the extraction of the symmetry energy parameters from isovector nuclear excitations, like the giant resonances. Then, we move to the general issue of how to assess whether correlations between a parameter of the nuclear equation of state and a nuclear observable are robust or not. To this aim, we introduce the covariance analysis and we discuss some counter-intuitive, yet enlightening, results from it.