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Effects of dilute neutron matter on the neutron star crust equation of state

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Abstract

We develop a compressible liquid-drop model to describe the crust of neutron stars for which the role of the nuclear clusters, the neutron gas, and the electrons are clearly identified. The novelty relies on the contribution of the neutron gas, which is qualitatively adjusted to reproduce ‘ab initio’ predictions in dilute neutron matter. We relate the properties of dilute neutron matter to the ones of neutron stars crust and we compare the mean-field approximation to an improved approach that better describes dilute neutron matter1. The latter is quite sensitive to the unitary limit, a universal feature of Fermi systems having a large value of the scattering length and a small interaction range. While the impact of the accurate description of dilute neutron matter is important in uniform matter (up to 30% corrections with respect to a mean-field calculations), we find a reduction of this impact in the context of the crust of neutron stars due to the additional matter components (nuclear clusters and electrons). In agreement with our previous works, dilute neutron matter is however a necessary ingredient for accurate predictions of the properties of the crust of neutron stars.

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Data Availability Statement

The data created in this work and used for the figures of this manuscript is included as electronic supplementary material.

Notes

  1. This work was a matter of many discussions with Peter Schuck, who had a deep interest in correlated many-body systems and their application in the understanding of the properties of neutron stars.

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Acknowledgements

We thank G. Coló, S. Gandolfi and I. Vidaña for very interesting exchanges during the completion of this work. GG is supported by the Fonds de la Recherche Scientifique (F.R.S.-FNRS) and the Fonds Wetenschappelijk Onderzoek - Vlaanderen (FWO) under the EOS Projects nr O022818F and O000422F. JM is supported by CNRS-IN2P3 MAC masterproject and benefits from PHAROS COST Action MP16214, as well as from the LABEX Lyon Institute of Origins (ANR-10-LABX-0066).

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Authors and Affiliations

  1. Institut d’Astronomie et d’Astrophysique, CP-226, Université Libre de Bruxelles, 1050, Brussels, Belgium

    G. Grams

  2. Institut de Physique des 2 infinis de Lyon, CNRS/IN2P3, Université de Lyon, Université Claude Bernard Lyon 1, 69622, Villeurbanne Cedex, France

    J. Margueron

  3. International Research Laboratory on Nuclear Physics and Astrophysics, Michigan State University and CNRS, East Lansing, MI, 48824, USA

    J. Margueron

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G.G. performed most of the numerical analysis. All authors contributed to the preparation and revision of the manuscript.

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Correspondence to G. Grams.

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Communicated by David Blaschke.

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Supplementary file 1 (zip 7905 KB)

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Grams, G., Margueron, J. Effects of dilute neutron matter on the neutron star crust equation of state. Eur. Phys. J. A 60, 90 (2024). https://doi.org/10.1140/epja/s10050-024-01309-3

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