Constraining isovector nuclear interactions with giant dipole resonance and neutron skin in $^{208}$Pb from a Bayesian approach

TL;DR

This paper uses Bayesian analysis to improve constraints on isovector nuclear interactions in $^{208}$Pb by combining neutron skin and giant dipole resonance data, revealing parameter correlations and enhancing understanding.

Contribution

It demonstrates that combining neutron skin and giant dipole resonance data effectively constrains all isovector interaction parameters in nuclear models.

Findings

Combined data constrains all isovector parameters.

Neutron skin or GDR data alone constrain only one parameter.

Correlations between isovector parameters are identified.

Abstract

The remaining uncertainties of isovector nuclear interactions call for reliable experimental measurements of isovector probes in finite nuclei. Based on the Bayesian analysis, although the neutron-skin thickness data or the isovector giant dipole resonance data in $^{208}$Pb can constrain only one isovector interaction parameter, correlations between other parameters are built. Using combined data of both the neutron-skin thickness and the isovector giant dipole resonance helps to constrain significantly all isovector interaction parameters, thus serves as a useful way in the future analysis.