Impact of the symmetry energy on nuclear pasta phases and crust-core transition in neutron stars

TL;DR

This paper investigates how the symmetry energy influences nuclear pasta phases and the crust-core transition in neutron stars using a self-consistent Thomas-Fermi approach within a relativistic mean-field model.

Contribution

It provides a detailed analysis of the role of symmetry energy slope on pasta phase structures and crust-core transition, confirming correlations with the liquid-drop model.

Findings

Symmetry energy slope significantly affects pasta phase structure.

Crust-core transition density correlates with symmetry energy slope.

Results are consistent with liquid-drop model predictions.

Abstract

We study the impact of the symmetry energy on properties of nuclear pasta phases and crust-core transition in neutron stars. We perform a self-consistent Thomas--Fermi calculation employing the relativistic mean-field model. The properties of pasta phases presented in the inner crust of neutron stars are investigated and the crust-core transition is examined. It is found that the slope of the symmetry energy plays an important role in determining the pasta phase structure and the crust-core transition. The correlation between the symmetry energy slope and the crust-core transition density obtained in the Thomas--Fermi approximation is consistent with that predicted by the liquid-drop model.