A new baryonic equation of state at sub-nuclear densities for core-collapse simulations

Journal Article · Mon Nov 12 00:00:00 EST 2012 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4763423· OSTI ID:22075770

Furusawa, Shun; Yamada, Shoichi; Sumiyoshi, Kohsuke; Suzuki, Hideyuki ^[1]

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1. Department of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo 169-8555 (Japan)

We construct a new equation of state for baryons at sub-nuclear densities for the use in core-collapse simulations of massive stars. The formulation is based on the nuclear statistical equilibrium description and the liquid drop approximation of nuclei. The model free energy to minimize is calculated by using relativistic mean field theory for nucleons and the mass formula for nuclei with atomic number up to {approx} 1000. We have also taken into account the pasta phase. We find that the free energy and other thermodynamical quantities are not very different from those given in the standard EOSs that adopt the single nucleus approximation. On the other hand, the average mass is systematically different, which may have an important effect to the rates of electron captures and coherent neutrino scatterings on nuclei in supernova cores. It is also interesting that the root mean square of the mass number is not very different from the average mass number, since the former is important for the evaluation of coherent scattering rates on nuclei but has been unavailable so far.

• OSTI ID: 22075770
• Journal Information: AIP Conference Proceedings, Vol. 1484, Issue 1; Conference: Conference on origin of matter and evolution of galaxies 2011, Wako (Japan), 14-17 Nov 2011; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
APPROXIMATIONS
COHERENT SCATTERING
ELECTRON CAPTURE
EQUATIONS OF STATE
FREE ENERGY
LIQUID DROP MODEL
MASS FORMULAE
MEAN-FIELD THEORY
NEUTRINO REACTIONS
NEUTRINOS
NUCLEAR MATTER
NUCLEONS
RELATIVISTIC RANGE
STATISTICAL MODELS
SUPERNOVAE
THERMODYNAMICS