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Uspekhi Fizicheskikh Nauk, 2025, Volume 195, Number 7, Pages 738–746
DOI: https://doi.org/10.3367/UFNr.2024.11.039804 (Mi ufn15931) 		 
METHODOLOGICAL NOTES

On variational trial functions in extended Thomas–Fermi method

A. Yu. Potekhina, A. I. Chugunova, N. N. Shchechilinb, N. Chamelb

a Ioffe Institute, St. Petersburg
b Institut d'Astronomie et d'Astrophysique, CP-226, Université Libre de Bruxelles
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DOI: https://doi.org/10.3367/UFNr.2024.11.039804
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 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.
Keywords: superdense matter, neutron star crust, Thomas–Fermi model, equation of state and phase equilibrium
Funding agency Grant number
Russian Science Foundation 22-12-00048
FWO, Fonds de la Recherche Scientifique (Belgium) EOS 40007501
Fonds de la Recherche Scientifique (Belgium) IISN 4.4502.19
The work was supported by the Russian Science Foundation, grant no. 22-12-00048, by the FWO (Belgium) and the Fonds de la Recherche Scientifique (Belgium) under the Excellence of Science (EOS) programme (project no. 40007501), and alsofrom the Fonds de la Recherche Scientifique (Belgium) under grant no. IISN 4.4502.19.
Received: June 27, 2024
Revised: November 7, 2024
Accepted: November 13, 2024
English version:
Physics–Uspekhi, 2025, Volume 68, Issue 7, Pages 691–698
DOI: https://doi.org/10.3367/UFNe.2024.11.039804
Bibliographic databases:
Document Type: Article
PACS: 26.60.-c, 26.60.Gj, 31.15.bt, 64.10.+h
Language: Russian
Citation: A. Yu. Potekhin, A. I. Chugunov, N. N. Shchechilin, N. Chamel, “On variational trial functions in extended Thomas–Fermi method”, UFN, 195:7 (2025), 738–746; Phys. Usp., 68:7 (2025), 691–698
Citation in format AMSBIB
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\by A.~Yu.~Potekhin, A.~I.~Chugunov, N.~N.~Shchechilin, N.~Chamel
\paper On variational trial functions in extended Thomas--Fermi method
\jour UFN
\yr 2025
\vol 195
\issue 7
\pages 738--746
\mathnet{http://mi.mathnet.ru/ufn15931}
\crossref{https://doi.org/10.3367/UFNr.2024.11.039804}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2025PhyU...68..691P}
\transl
\jour Phys. Usp.
\yr 2025
\vol 68
\issue 7
\pages 691--698
\crossref{https://doi.org/10.3367/UFNe.2024.11.039804}
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