On variational trial functions in the extended Thomas-Fermi method

Document detail
ID

oai:arXiv.org:2411.11021

Topic
Nuclear Theory Astrophysics - High Energy Astroph...
Author
Potekhin, A. Y. Chugunov, A. I. Shchechilin, N. N. Chamel, N.
Category

sciences: astrophysics

Year

2024

listing date

11/20/2024

Keywords
method
Metrics

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.

;Comment: 9 pages, Phys.

Usp., accepted

Potekhin, A. Y.,Chugunov, A. I.,Shchechilin, N. N.,Chamel, N., 2024, On variational trial functions in the extended Thomas-Fermi method

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arXiv

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