Equation of State of Dense Matter: Pauli Degeneracy, Pairing Correlations, and Implications for Neutron Stars

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Autori principali: Krivenko-Emetov, Yaroslav D., Shabal, Gleb
Natura: Preprint
Pubblicazione: 2026
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author Krivenko-Emetov, Yaroslav D.
Shabal, Gleb
author_facet Krivenko-Emetov, Yaroslav D.
Shabal, Gleb
contents We develop a unified description of dense fermionic matter that consistently incorporates Pauli degeneracy, interaction effects, and pairing correlations. The condition that the temperature is much smaller than the Fermi energy leads to a natural separation between Sommerfeld, Fermi-liquid, and pairing regimes, and how these contributions enter the equation of state. The resulting EOS is applied to the Tolman-Oppenheimer-Volkoff equations to analyze neutron-star structure. We demonstrate that Pauli degeneracy provides the dominant pressure, interactions determine the stiffness of the EOS, and pairing correlations produce subleading but potentially significant corrections, especially in quark matter. Implications for mass--radius constraints and modern observations are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2605_01618
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Equation of State of Dense Matter: Pauli Degeneracy, Pairing Correlations, and Implications for Neutron Stars
Krivenko-Emetov, Yaroslav D.
Shabal, Gleb
High Energy Physics - Phenomenology
Nuclear Theory
We develop a unified description of dense fermionic matter that consistently incorporates Pauli degeneracy, interaction effects, and pairing correlations. The condition that the temperature is much smaller than the Fermi energy leads to a natural separation between Sommerfeld, Fermi-liquid, and pairing regimes, and how these contributions enter the equation of state. The resulting EOS is applied to the Tolman-Oppenheimer-Volkoff equations to analyze neutron-star structure. We demonstrate that Pauli degeneracy provides the dominant pressure, interactions determine the stiffness of the EOS, and pairing correlations produce subleading but potentially significant corrections, especially in quark matter. Implications for mass--radius constraints and modern observations are discussed.
title Equation of State of Dense Matter: Pauli Degeneracy, Pairing Correlations, and Implications for Neutron Stars
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2605.01618