Constraining the nuclear symmetry energy from electric dipole polarizability and neutron skin in $^{208}\mathrm{Pb}$ within antisymmetrized molecular dynamics

TL;DR

This study uses antisymmetrized molecular dynamics to connect electric dipole polarizability and neutron skin measurements in lead-208 to the symmetry energy at subsaturation densities, providing new constraints on nuclear matter properties.

Contribution

It introduces a novel AMD-based analysis linking experimental data to symmetry energy constraints across specific density ranges.

Findings

Sensitive density range identified from 0.2ρ₀ to 0.57ρ₀.

Favored interaction parameters with S₀≈34 MeV and L=66-75 MeV.

Derived symmetry energy values at 0.2ρ₀ and 0.57ρ₀ densities.

Abstract

The electric dipole polarizability $\alpha_D$ and the neutron skin thickness $\Delta R_{np}$ of $^{208}\mathrm{Pb}$ are two powerful and clean probes to constrain the symmetry energy at subsaturation density. Within the framework of the antisymmetrized molecular dynamics (AMD) model, we found that the sensitive densities of $\alpha_D$ and $\Delta R_{np}$ ranges from the 0.2$\rho_0$ to 0.57$\rho_0$. To well describe the data of $\alpha_D$ and $\Delta R_{np}$, the effective interaction parameters with $S_0\sim34$ MeV and $L=66-75$ MeV are favored. The constraints of symmetry energy over the density ranging from 0.2$\rho_0$ to 0.57$\rho_0$ are obtained, and the values of symmetry energy at the starting and ending density region are $S(\rho=0.2\rho_0)=10.5\pm 0.63$ MeV and $S(\rho=0.57\rho_0)=23.1\pm 0.4$ MeV.