2022/03/14 by Hajime Sotani, Hajime Togashi · 8 citations
Mathematics · Physics and Astronomy · #Astrophysics #Atomic and Subatomic Physics Research #Gamma-ray bursts and supernovae #Mathematics #Neutron #Neutron star #Nuclear physics #Physics #Pulsars and Gravitational Waves Research #Saturation (graph theory) #astro-ph.HE #nucl-th
paper · pdf · doi:10.1103/physrevd.105.063010
published in Physical review. D/Physical review. D. 105(6) (American Physical Society)
openalex publication_date 2022/03/14 · arxiv created 2022/03/17 · arxiv updated 2022/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We derive the empirical formulas for the neutron star mass and gravitational redshift as a function of the central density and specific combination of the nuclear saturation parameters, which are applicable to the stellar models constructed with the central density up to threefold nuclear saturation density. Combining the both empirical formulas, one also estimates the neutron star radius. In practice, we find that the neutron star mass (radius) can be estimated within ∼ 10% (a few percent) accuracy by comparing the mass and radius evaluated with our empirical formulas to those determined with the specific equation of state. Since our empirical formulas directly connect the neutron star mass and radius to the nuclear saturation parameters, one can discuss the neutron star properties with the specific values of nuclear saturation parameters constrained via nuclear experiments.