Equation of State of nuclear matter in a Virial expansion of nucleons and nuclei

Abstract

We study the equation of state (EOS) of nuclear matter at subnuclear density in a Virial expansion for a nonideal gas. The gas consists of neutrons, protons, alpha particles, and 8980 species of nuclei with $A\ge 12$ and masses from the finite-range droplet model (FRDM). At very low density, the Virial expansion reduces to nuclear statistical equilibrium. At higher density, the Virial results match smoothly to the relativistic mean field results discussed in our previous paper. We tabulate the resulting EOS at over 73,000 grid points in the temperature range $T$ = 0.158 to 15.8 MeV, the density range $n_B$ = 10${}^{-8}$ to 0.1 fm${}^{-3}$, and the proton fraction range $Y_P$ = 0.05 to 0.56. In the future we plan to match these low density results to our earlier high density mean field results, and generate a full EOS table for use in supernova and neutron star merger simulations. This Virial EOS is exact in the low density limit.

15 pages, minor changes, Physical Review C in press

References in corpus (1)

• Influence of light nuclei on neutrino-driven supernova outflows

Cited by in corpus (14)

• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• A New Open-Source Nuclear Equation of State Framework based on the Liquid-Drop Model with Skyrme Interaction
• A Second Relativistic Mean Field and Virial Equation of State for Astrophysical Simulations
• The Vlasov formalism for extended relativistic mean field models: the crust-core transition and the stellar matter equation of state
• Pasta Nucleosynthesis: Molecular dynamics simulations of nuclear statistical equilibrium
• A comparative study of statistical models for nuclear equation of state of stellar matter
• EoS for hot neutron stars
• Charged current neutrino interactions in core-collapse supernovae in a virial expansion
• Equation of State table with hyperon and antikaon for supernova and neutron star merger
• Hot and Dense Matter Equation of State Probability Distributions for Astrophysical Simulations
• New equation of state involving Bose-Einstein condensate of antikaon for supernova and neutron star merger simulations
• Hyperonic uncertainties in neutron stars, mergers and supernovae
• Virial Equation of State for a Granular System
• Equivalence of dissipative and dissipationless dynamics of interacting quantum systems with its application to the unitary Fermi gas