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

Dandan Niu, Xinyu Wang, Ying Cui, Qiang Zhao, Kai Zhao, Akira Ono, Yingxun Zhang

Abstract

The electric dipole polarizability $α_D$ and the neutron skin thickness $ΔR_{np}$ 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 $α_D$ and $ΔR_{np}$ ranges from the 0.2$ρ_0$ to 0.57$ρ_0$. To well describe the data of $α_D$ and $ΔR_{np}$, 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$ρ_0$ to 0.57$ρ_0$ are obtained, and the values of symmetry energy at the starting and ending density region are $S(ρ=0.2ρ_0)=10.5\pm 0.63$ MeV and $S(ρ=0.57ρ_0)=23.1\pm 0.4$ MeV.

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

Abstract

The electric dipole polarizability and the neutron skin thickness of 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 and ranges from the 0.2 to 0.57. To well describe the data of and , the effective interaction parameters with MeV and MeV are favored. The constraints of symmetry energy over the density ranging from 0.2 to 0.57 are obtained, and the values of symmetry energy at the starting and ending density region are MeV and MeV.
Paper Structure (12 sections, 38 equations, 8 figures, 4 tables)

This paper contains 12 sections, 38 equations, 8 figures, 4 tables.

Table of Contents

  1. Introduction
  2. Theoretical Framework
  3. AMD Model
  4. Isovector Giant Dipole Resonance
  5. Results and Discussions
  6. Properties of the initial ground state in AMD model
  7. Time evolution of dipole moments and the transition strength function
  8. Influence of S0, L and fI on S(E)
  9. Constraining symmetry energy via alphaD and Rnp
  10. Summary
  11. Details of Parameter Sets
  12. Motion of dipole moment

Figures (8)

  • Figure 1: Radial density distributions of neutrons and protons for 208Pb. Thin lines are the results obtained by AMD from 200 events, and thick lines are the event averaged values. Left panel is for SLy4, and right panel is for SkM*.
  • Figure 2: The Rnp of 208Pb as a function of S0 (a), and L (b) for given 30 parameter sets.
  • Figure 3: The time evolution of the electric dipole moment in x, y, z directions for 208Pb. Red lines are for SLy4, and blue lines are for SkM*.
  • Figure 4: Isovector giant dipole resonance strength function for 208Pb. Thin lines are the results obtained by AMD with 200 events, and thick lines are the event averaged values. Left panel is for SLy4, and right panel is for SkM*.
  • Figure 5: Calculated IVGDR strength functions and data for 208Pb.
  • ...and 3 more figures