Equation of state of dense matter from a density dependent relativistic mean field model

G. Shen, C. J. Horowitz, S. Teige

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

We calculate the equation of state (EOS) of dense matter using a relativistic mean field (RMF) model with a density dependent coupling that is a slightly modified form of the original NL3 interaction. For nonuniform nuclear matter we approximate the unit lattice as a spherical Wigner-Seitz cell, wherein the meson mean fields and nucleon Dirac wave functions are solved fully self-consistently. We also calculate uniform nuclear matter for a wide range of temperatures, densities, and proton fractions, and match them to nonuniform matter as the density decreases. The calculations took over 6000 CPU days in Indiana University's supercomputer clusters. We tabulate the resulting EOS at over 107,000 grid points in the proton fraction range YP=0 to 0.56. For the temperature range T=0.16 to 15.8MeV, we cover the density range nB=10 -4 to 1.6 fm-3; and for the higher temperature range T=15.8 to 80MeV, we cover the larger density range nB=10-8 to 1.6 fm-3. In the future we plan to study low density, low temperature (T<15.8MeV), nuclear matter using a Virial expansion, and we will match the low-density and high-density results to generate a complete EOS table for use in astrophysical simulations of supernova and neutron star mergers.

Original languageEnglish
Article number015806
JournalPhysical Review C - Nuclear Physics
Volume82
Issue number1
DOIs
StatePublished - 2010
Externally publishedYes

Funding

FundersFunder number
National Science Foundation
Directorate for Computer and Information Science and Engineering0521433, 0504075, 0338618, 0451237

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