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.

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/
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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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