On variational trial functions in the extended Thomas-Fermi method

Parametrized nucleon density distributions are widely employed for the calculation of the properties of atomic nuclei and dense inhomogeneous matter in compact stars within the Thomas-Fermi method and its extensions. We show that the use of insufficiently smooth parametrizations may deteriorate the...

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Published in:arXiv.org 2024-11
Main Authors: Potekhin, A Y, Chugunov, A I, Shchechilin, N N, Chamel, N
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Language:English
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Neutron stars
Nuclei (nuclear physics)
Smoothness
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Chugunov, A I
Shchechilin, N N
Chamel, N
description Parametrized nucleon density distributions are widely employed for the calculation of the properties of atomic nuclei and dense inhomogeneous matter in compact stars within the Thomas-Fermi method and its extensions. We show that the use of insufficiently smooth parametrizations may deteriorate the accuracy of this method. We discuss and clarify the smoothness condition using the example of the so-called "nuclear pasta" in the neutron star mantle.
doi_str_mv 10.48550/arxiv.2411.11021
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subjects Neutron stars
Nuclei (nuclear physics)
Smoothness
title On variational trial functions in the extended Thomas-Fermi method
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