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The Equation of State of Neutron Star Matter in Strong Magnetic Fields

2000/01/31 by Avery E. Broderick, A. Broderick, M. Prakash +2 · 4 citations
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysics #Atomic and Subatomic Physics Research #Condensed matter physics #Electron magnetic dipole moment #Equation of state #High-pressure geophysics and materials #Landau quantization #Magnetic field #Magnetic moment #Magnetization #Neutron #Neutron magnetic moment #Neutron star #Nuclear physics #Nucleon #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #astro-ph #nucl-th

paper · pdf · doi:10.1086/309010

40 pages, 7 figures, accepted for publication in ApJ

arxiv created 2000/01/31 · openalex publication_date 2000/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the effects of very strong magnetic fields on the equation of state (EOS) in multicomponent, interacting matter by developing a covariant description for the inclusion of the anomalous magnetic moments of nucleons. For the description of neutron star matter, we employ a field-theoretical approach, which permits the study of several models that differ in their behavior at high density. Effects of Landau quantization in ultrastrong magnetic fields ( B > 10 14 G) lead to a reduction in the electron chemical potential and a substantial increase in the proton fraction. We find the generic result for B > 10 18 G that the softening of the EOS caused by Landau quantization is overwhelmed by stiffening due to the incorporation of the anomalous magnetic moments of the nucleons. In addition, the neutrons become completely spin polarized. The inclusion of ultrastrong magnetic fields leads to a dramatic increase in the proton fraction, with consequences for the direct Urca process and neutron star cooling. The magnetization of the matter never appears to become very large, as the value of | H / B | never deviates from unity by more than a few percent. Our findings have implications for the structure of neutron stars in the presence of large frozen-in magnetic fields.

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