Constraints on the Skyrme Equations of State from Properties of Doubly Magic Nuclei

TL;DR

This paper uses properties of doubly-magic nuclei to constrain the nuclear and neutron matter equations of state, particularly near a specific density, providing insights into the neutron equation of state and symmetry energy.

Contribution

It introduces constraints on the nuclear matter and neutron matter equations of state derived from doubly-magic nuclei properties, focusing on a specific density point.

Findings

Neutron equation of state is constrained by nuclear data.

Symmetry energy near 0.10 nucleons/fm³ is determined.

Neutron skin measurements constrain the slope of the EOS.

Abstract

I use properties of doubly-magic nuclei to constrain nuclear matter and neutron matter equations of state. I conclude that the data determined the value of the neutron equation of state and the symmetry energy near a density of $\rho_{on}$ = 0.10 nucleons/fm$^{3}$. The slope at that point is constrained by the value of the neutron skin.