A Statistical Approach to Neutron Stars’ Crust–Core Transition Density and Pressure

In this paper, a regression model between neutron star crust–core pressure and the symmetry energy characteristics was estimated using the Akaike information criterion and the adjusted coefficient of determination <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" di...

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Main Authors: Ilona Bednarek, Wiesław Olchawa, Jan Sładkowski, Jacek Syska
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/12/1652
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author Ilona Bednarek
Wiesław Olchawa
Jan Sładkowski
Jacek Syska
author_facet Ilona Bednarek
Wiesław Olchawa
Jan Sładkowski
Jacek Syska
author_sort Ilona Bednarek
collection DOAJ
description In this paper, a regression model between neutron star crust–core pressure and the symmetry energy characteristics was estimated using the Akaike information criterion and the adjusted coefficient of determination <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>R</mi><mrow><mi>a</mi><mi>d</mi><mi>j</mi></mrow><mn>2</mn></msubsup></semantics></math></inline-formula>. The most probable value of the transition density, which should characterize the crust–core environment of the sought physical neutron star model, was determined based on the obtained regression function. An anti-correlation was found between this transition density and the main characteristic of the symmetry energy, i.e., its slope <i>L</i>.
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spelling doaj.art-53ab6aa414e34359a3398b462ad26abf2023-12-22T14:07:30ZengMDPI AGEntropy1099-43002023-12-012512165210.3390/e25121652A Statistical Approach to Neutron Stars’ Crust–Core Transition Density and PressureIlona Bednarek0Wiesław Olchawa1Jan Sładkowski2Jacek Syska3Institute of Physics, University of Silesia, 75 Pułku Piechoty 1, 41-500 Chorzów, PolandInstitute of Physics, University of Opole, Oleska 48, 45-052 Opole, PolandInstitute of Physics, University of Silesia, 75 Pułku Piechoty 1, 41-500 Chorzów, PolandInstitute of Physics, University of Silesia, 75 Pułku Piechoty 1, 41-500 Chorzów, PolandIn this paper, a regression model between neutron star crust–core pressure and the symmetry energy characteristics was estimated using the Akaike information criterion and the adjusted coefficient of determination <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>R</mi><mrow><mi>a</mi><mi>d</mi><mi>j</mi></mrow><mn>2</mn></msubsup></semantics></math></inline-formula>. The most probable value of the transition density, which should characterize the crust–core environment of the sought physical neutron star model, was determined based on the obtained regression function. An anti-correlation was found between this transition density and the main characteristic of the symmetry energy, i.e., its slope <i>L</i>.https://www.mdpi.com/1099-4300/25/12/1652neutron starsymmetry energynuclear matter modeling
spellingShingle Ilona Bednarek
Wiesław Olchawa
Jan Sładkowski
Jacek Syska
A Statistical Approach to Neutron Stars’ Crust–Core Transition Density and Pressure
Entropy
neutron star
symmetry energy
nuclear matter modeling
title A Statistical Approach to Neutron Stars’ Crust–Core Transition Density and Pressure
title_full A Statistical Approach to Neutron Stars’ Crust–Core Transition Density and Pressure
title_fullStr A Statistical Approach to Neutron Stars’ Crust–Core Transition Density and Pressure
title_full_unstemmed A Statistical Approach to Neutron Stars’ Crust–Core Transition Density and Pressure
title_short A Statistical Approach to Neutron Stars’ Crust–Core Transition Density and Pressure
title_sort statistical approach to neutron stars crust core transition density and pressure
topic neutron star
symmetry energy
nuclear matter modeling
url https://www.mdpi.com/1099-4300/25/12/1652
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