Second relativistic mean field and virial equation of state for astrophysical simulations

G. Shen, C. J. Horowitz, and E. O’Connor
Phys. Rev. C 83, 065808 – Published 23 June 2011
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Abstract

We generate a second equation of state (EOS) of nuclear matter for a wide range of temperatures, densities, and proton fractions for use in supernovae, neutron star mergers, and black hole formation simulations. We employ full relativistic mean field (RMF) calculations for matter at intermediate density and high density, and the virial expansion of a nonideal gas for matter at low density. For this EOS we use the RMF effective interaction FSUGold, whereas our earlier EOS was based on the RMF effective interaction NL3. The FSUGold interaction has a lower pressure at high densities compared to the NL3 interaction. We calculate the resulting EOS at over 100 000 grid points in the temperature range T=0 to 80 MeV, the density range nB=108 to 1.6 fm3, and the proton fraction range Yp=0 to 0.56. We then interpolate these data points using a suitable scheme to generate a thermodynamically consistent equation of state table on a finer grid. We discuss differences between this EOS, our NL3-based EOS, and previous EOSs by Lattimer-Swesty and H. Shen et al. for the thermodynamic properties, composition, and neutron star structure. The original FSUGold interaction produces an EOS, which we call FSU1.7, that has a maximum neutron star mass of 1.7 solar masses. A modification in the high-density EOS is introduced to increase the maximum neutron star mass to 2.1 solar masses and results in a slightly different EOS that we call FSU2.1. The EOS tables for FSU1.7 and FSU2.1 are available for download.

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  • Received 26 March 2011

DOI:https://doi.org/10.1103/PhysRevC.83.065808

©2011 American Physical Society

Authors & Affiliations

G. Shen*

  • Theoretical Division, Los Alamos National Lab, Los Alamos, New Mexico 87545, USA, and Center for the Exploration of Energy and Matter and Department of Physics, Indiana University Bloomington, Indiana 47405, USA

C. J. Horowitz

  • Center for the Exploration of Energy and Matter and Department of Physics, Indiana University Bloomington, Indiana 47405, USA

E. O’Connor

  • TAPIR, Mail Code 350-17, California Institute of Technology, Pasadena, California 91125, USA

  • *gshen@lanl.gov
  • horowit@indiana.edu
  • evanoc@tapir.caltech.edu

See Also

New equation of state for astrophysical simulations

G. Shen, C. J. Horowitz, and S. Teige
Phys. Rev. C 83, 035802 (2011)

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Vol. 83, Iss. 6 — June 2011

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