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Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter

We investigate superfluid phase transitions of asymmetric nuclear matter at finite temperature (T) and density (ρ) with a low proton fraction (Y(p) ≤ 0.2), which is relevant to the inner crust and outer core of neutron stars. A strong-coupling theory developed for two-component atomic Fermi gases is...

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Autores principales: Tajima, Hiroyuki, Hatsuda, Tetsuo, van Wyk, Pieter, Ohashi, Yoji
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6897924/
https://www.ncbi.nlm.nih.gov/pubmed/31811255
http://dx.doi.org/10.1038/s41598-019-54010-7
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author Tajima, Hiroyuki
Hatsuda, Tetsuo
van Wyk, Pieter
Ohashi, Yoji
author_facet Tajima, Hiroyuki
Hatsuda, Tetsuo
van Wyk, Pieter
Ohashi, Yoji
author_sort Tajima, Hiroyuki
collection PubMed
description We investigate superfluid phase transitions of asymmetric nuclear matter at finite temperature (T) and density (ρ) with a low proton fraction (Y(p) ≤ 0.2), which is relevant to the inner crust and outer core of neutron stars. A strong-coupling theory developed for two-component atomic Fermi gases is generalized to the four-component case, and is applied to the system of spin-1/2 neutrons and protons. The phase shifts of neutron-neutron (nn), proton-proton (pp) and neutron-proton (np) interactions up to k = 2 fm(−1) are described by multi-rank separable potentials. We show that the critical temperature [Formula: see text] of the neutron superfluidity at Y(p) = 0 agrees well with Monte Carlo data at low densities and takes a maximum value [Formula: see text] = 1.68 MeV at [Formula: see text] with ρ(0) = 0.17 fm(−3). Also, the critical temperature [Formula: see text] of the proton superconductivity for Y(p) ≤ 0.2 is substantially suppressed at low densities due to np-pairing fluctuations, and starts to dominate over [Formula: see text] only above [Formula: see text] (0.77) for Y(p) = 0.1(0.2), and (iii) the deuteron condensation temperature [Formula: see text] is suppressed at Y(p) ≤ 0.2 due to a large mismatch of the two Fermi surfaces.
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spelling pubmed-68979242019-12-12 Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter Tajima, Hiroyuki Hatsuda, Tetsuo van Wyk, Pieter Ohashi, Yoji Sci Rep Article We investigate superfluid phase transitions of asymmetric nuclear matter at finite temperature (T) and density (ρ) with a low proton fraction (Y(p) ≤ 0.2), which is relevant to the inner crust and outer core of neutron stars. A strong-coupling theory developed for two-component atomic Fermi gases is generalized to the four-component case, and is applied to the system of spin-1/2 neutrons and protons. The phase shifts of neutron-neutron (nn), proton-proton (pp) and neutron-proton (np) interactions up to k = 2 fm(−1) are described by multi-rank separable potentials. We show that the critical temperature [Formula: see text] of the neutron superfluidity at Y(p) = 0 agrees well with Monte Carlo data at low densities and takes a maximum value [Formula: see text] = 1.68 MeV at [Formula: see text] with ρ(0) = 0.17 fm(−3). Also, the critical temperature [Formula: see text] of the proton superconductivity for Y(p) ≤ 0.2 is substantially suppressed at low densities due to np-pairing fluctuations, and starts to dominate over [Formula: see text] only above [Formula: see text] (0.77) for Y(p) = 0.1(0.2), and (iii) the deuteron condensation temperature [Formula: see text] is suppressed at Y(p) ≤ 0.2 due to a large mismatch of the two Fermi surfaces. Nature Publishing Group UK 2019-12-06 /pmc/articles/PMC6897924/ /pubmed/31811255 http://dx.doi.org/10.1038/s41598-019-54010-7 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Tajima, Hiroyuki
Hatsuda, Tetsuo
van Wyk, Pieter
Ohashi, Yoji
Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
title Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
title_full Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
title_fullStr Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
title_full_unstemmed Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
title_short Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
title_sort superfluid phase transitions and effects of thermal pairing fluctuations in asymmetric nuclear matter
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6897924/
https://www.ncbi.nlm.nih.gov/pubmed/31811255
http://dx.doi.org/10.1038/s41598-019-54010-7
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