Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas-Fermi Approaches

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Auteurs principaux: Grams, Guilherme, Shchechilin, Nikolai N., Diverrès, Théau, Fantina, Anthea F., Chamel, Nicolas, Gulminelli, Francesca
Format: Preprint
Publié: 2025
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author Grams, Guilherme
Shchechilin, Nikolai N.
Diverrès, Théau
Fantina, Anthea F.
Chamel, Nicolas
Gulminelli, Francesca
author_facet Grams, Guilherme
Shchechilin, Nikolai N.
Diverrès, Théau
Fantina, Anthea F.
Chamel, Nicolas
Gulminelli, Francesca
contents We investigate the effects of temperature on the properties of the inner crust of a non-accreting neutron star. To this aim, we employ two different treatments: the compressible liquid drop model (CLDM) and the temperature-dependent extended Thomas-Fermi (TETF) method. Our systematic comparison shows an agreement between the two methods on their predictions for the crust thermodynamic properties. We find that the CLDM description can also reproduce reasonably well the TETF composition especially if the surface energy is optimized on the ETF calculation. However, the neglect of neutron skin in CLDM leads to an overestimation of the proton radii.
format Preprint
id arxiv_https___arxiv_org_abs_2505_19984
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas-Fermi Approaches
Grams, Guilherme
Shchechilin, Nikolai N.
Diverrès, Théau
Fantina, Anthea F.
Chamel, Nicolas
Gulminelli, Francesca
Nuclear Theory
High Energy Astrophysical Phenomena
We investigate the effects of temperature on the properties of the inner crust of a non-accreting neutron star. To this aim, we employ two different treatments: the compressible liquid drop model (CLDM) and the temperature-dependent extended Thomas-Fermi (TETF) method. Our systematic comparison shows an agreement between the two methods on their predictions for the crust thermodynamic properties. We find that the CLDM description can also reproduce reasonably well the TETF composition especially if the surface energy is optimized on the ETF calculation. However, the neglect of neutron skin in CLDM leads to an overestimation of the proton radii.
title Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas-Fermi Approaches
topic Nuclear Theory
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2505.19984