A unified equation of state of dense matter and neutron star structure

By F. Douchin, P. Haensel. 2001

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An equation of state (EOS) of neutron star matter, describing both the neutron star crust and the liquid core, is calculated. It is based on the eective nuclear interaction SLy of the Skyrme type, which is particularly suitable for the application to the calculation of the properties of very neutron rich matter (Chabanat et al. 1997, 1998). The structure of the crust, and its EOS, is calculated in the T = 0 approximation, and under the assumption of the ground state composition. The crust-core transition is a very weakly rst-order phase transition, with relative density jump of about one percent. The EOS of the liquid core is calculated assuming (minimal) npe composition. Parameters of static neutron stars are calculated and compared with existing observational data on neutron stars. The minimum and maximum masses of static neutron stars are 0:094 M and 2:05 M, respectively. Eects of rotation on the minimum and the maximum mass of neutron stars are briefly discussed.

Subfields: Astronomy and Astrophysics, Geophysics

View Paper: https://www.semanticscholar.org/paper/4302efd5e35d0b893fe47f3ca7f1c8e1b128d51f

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Citations in the corpus

Maximum mass, moment of inertia and compactness of relativistic stars (2016, neutral): “In our analysis we have considered 28 several different theoretical approaches to the EOS and, in particular: the nuclear many-body theory [APR4, Akmal et al. (1998); WFF1, WFF2, Wiringa et al. (1988)], the non-relativistic Skyrme mean-field model [Rs, SK255, SK272, Ska, Skb, SkI2-SkI6, SkMp, Gulmin”
Constraining the Dense Matter Equation of State with Joint Analysis of NICER and LIGO/Virgo Measurements (2019, background): “For the latter the crust EOS of Douchin & Haensel (2001) is considered up to 0.5 ρs.”
Unified equation of state for neutron stars on a microscopic basis (2015, methodology): “…of the inner crust and nuclear pasta have been performed very often with semiclassical methods such as the CLDM (Lattimer & Swesty 1991; Douchin & Haensel 2001) or the Thomas-Fermi (TF) approximation and their variants, employing effective forces for the nuclear interaction, see…”
Evidence for a maximum mass cut-off in the neutron star mass distribution and constraints on the equation of state (2017, background): “Below 0.6ρsat we assume a fixed SLy EoS for the crust taken from Douchin & Haensel (2001).”
2D Cooling of Magnetized Neutron Stars (2007, methodology): “To build the background NS model, we used a Skyrme-type equation of state (EoS), at zero temperature to describe both the NS crust and the liquid core, based on the effective nuclear interaction SLy (Douchin & Haensel 2001).”
NUCLEAR CONSTRAINTS ON PROPERTIES OF NEUTRON STAR CRUSTS (2009, background): “…the core–crust transition density, this approach has been shown to produce a very small error for the actual core–crust transition density and it would yield the exact transition density for a second-order phase transition (Pethick et al. 1995; Douchin & Haensel 2000, 2001; Carriere et al. 2003).”
THE DENSE MATTER EQUATION OF STATE FROM NEUTRON STAR RADIUS AND MASS MEASUREMENTS (2015, methodology): “Using the SLy equation of state (Douchin & Haensel 2001) up to a density of ρ0 = 10 14 g cm−3 and taking the fiducial densities at 1.85 ρns, 3.7 ρns, and 7.4 ρns, which we denote as ρ1, ρ2, and ρ3, respectively, these studies have shown that the discretized equations of state generate mass-radius…”
Moments of inertia for neutron and strange stars: Limits derived for the Crab pulsar (2002, background): “…Baldo et al. 1997; Bombaci 1995; Balberg & Gal 1997; Balberg et al. 1999; Bethe & Johnson 1974; Pandharipande 1971; Pandharipande & Ravenhall 1989; Douchin & Haensel 2001; Wiringa et al. 1988; Walecka 1974; Haensel & Prószyński 1980; Akmal et al. 1998); nucleons, hyperons, and leptons (EOSs of…”
New Neutron Star Equation of State with Quark–Hadron Crossover (2019, result): “(Kanzawa et al. (2009)), the properties of neutron star crusts calculated with the Togashi equation of state are consistent with those in previous studies (Baym et al. (1971), Negele & Vautherin (1973), Douchin & Haensel (2001)).”