Constraining isovector nuclear interactions with giant resonances within a Bayesian approach

Jun Xu,Jia Zhou,Zhen Zhang,Wen-Jie Xie,Bao-An Li

doi:10.1016/j.physletb.2020.135820

Abstract

We put a stringent constraint on the isovector nuclear interactions in the Skyrme-Hartree-Fock model from the centroid energy E−1 of the isovector giant dipole resonance in 208Pb as well as its electric polarizability αD. Using the Bayesian analysis method, E−1 and αD are found to be mostly determined by the nuclear symmetry energy Esym at about ρ⋆=0.05 fm−3 and the isovector nucleon effective mass mv⋆ at the saturation density. At 90% confidence level, we obtain Esym(ρ⋆)=16.4−0.9+1.0 MeV and mv⋆/m=0.79−0.06+0.06.

Highlights

Observables of finite nuclei serve as good probes of nuclear interactions and nuclear matter properties at and below the saturation density
We put a stringent constraint on the isovector nuclear interactions in the Skyrme-Hartree-Fock model from the centroid energy E−1 of the isovector giant dipole resonance in 208Pb as well as its electric polarizability αD
Using the Bayesian analysis method, E−1 and αD are found to be mostly determined by the nuclear symmetry energy Esym at about ρ⋆ = 0.05 fm−3 and the isovector nucleon effective mass m⋆v at the saturation density

Summary

Introduction

Observables of finite nuclei serve as good probes of nuclear interactions and nuclear matter properties at and below the saturation density. Using the Bayesian analysis method, E−1 and αD are found to be mostly determined by the nuclear symmetry energy Esym at about ρ⋆ = 0.05 fm−3 and the isovector nucleon effective mass m⋆v at the saturation density.

Results

Conclusion