On variational trial functions in extended Thomas—Fermi method

A.Yu. Potekhin^†^a, A.I. Chugunov^a, N.N. Shchechilin^b, N. Chamel^b
^aIoffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation
^bInstitut d'Astronomie et d'Astrophysique, Université Libre de Bruxelles, Brussels, Belgium

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.

Correspondence should be addressed to
Keywords: superdense matter, neutron star crust, Thomas—Fermi model, equation of state and phase equilibrium
PACS: 26.60.−c, 26.60.Gj, 31.15.bt, 64.10.+h (all)
DOI: 10.3367/UFNe.2024.11.039804
URL: https://ufn.ru/en/articles/2025/7/e/
Web of Science

001635891000005
Scopus

2-s2.0-105013778409
ADS NASA

2025PhyU...68..691P
Citation: Potekhin A Yu, Chugunov A I, Shchechilin N N, Chamel N "On variational trial functions in extended Thomas—Fermi method" Phys. Usp. 68 691–698 (2025)

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Received: 27th, June 2024, revised: 7th, November 2024, accepted: 13th, November 2024

Оригинал: Потехин А Ю, Чугунов А И, Щечилин Н Н, Шамель Н «О вариационных пробных функциях в обобщённом методе Томаса—Ферми» УФН 195 738–746 (2025); DOI: 10.3367/UFNr.2024.11.039804

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