Constraining isovector nuclear interactions with giant resonances within a Bayesian approach

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 ${}^{208}$Pb as well as its electric polarizability $\hat{I}{\pm }_D$. Using the Bayesian analysis method, $E_{-1}$ and $\hat{I}{\pm }_D$ are found to be mostly determined by the nuclear symmetry energy $E_{sym}$ at about $\ddot{I}{}^{\star }=0.05$ fm${}^{-3}$ and the isovector nucleon effective mass $m_v^{\star }$ at the saturation density. At $90\%$ confidence level, we obtain $E_{sym}(\ddot{I}{}^{\star })=16.4_{-0.9}^{+1.0}$ MeV and $m_v^{\star }/m=0.79_{-0.06}^{+0.06}$.

5 pages, 5 figures