On variational trial functions in 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 ThomasFermi 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.

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Publication Details

Journal
Physics-Uspekhi
Published
2024-11-01
DOI
https://doi.org/10.3367/ufne.2024.11.039804
Primary Topic
Numerical methods in inverse problems
Type
article
Field-Weighted Citation Impact
0.00

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article

On variational trial functions in extended Thomas—Fermi method

N. Chamel, A. I. Chugunov, Nikolai N. Shchechilin, A. Y. Potekhin
Physics-Uspekhi
Numerical methods in inverse problems
article

On variational trial functions in extended Thomas—Fermi method

N. Chamel, A. I. Chugunov, Nikolai N. Shchechilin, A. Y. Potekhin
article en

Abstract

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 ThomasFermi 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.

Physics-UspekhiVol. 68(07)
Université Libre de Bruxelles (BE), Ioffe Institute (RU)
Fonds Wetenschappelijk Onderzoek, Russian Science Foundation
Openalex Percentile: Top 66%
Numerical methods in inverse problems
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