@article{98189a4fc5224e2480af98a24a289c11,

title = "Nuclear statistical equilibrium equation of state with a parametrized Dirac-Br{\"u}ckner Hartree-Fock calculation",

abstract = "We calculate new equations of state (EOSs) for astrophysical simulations in the framework of the extended nuclear statistical equilibrium, in which we minimize the free energy density for the full ensemble of nuclei in a hot and dense stellar environment. To evaluate bulk and surface energies of heavy nuclei and free energies of uniformly distributed nucleons, we use fitting formulae for the interaction energies and single-nucleon potentials at zero temperature of a Dirac-Br{\"u}ckner Hartree-Fock (DBHF) theory, one of the modern approaches to describe homogeneous nuclear matter. We find that the DBHF EOS exhibits larger mass fractions for medium-mass nuclei and smaller mass fractions for the other nuclei than the EOS obtained using the variational method (VM), another modern model for homogeneous nuclear matter. This effect is due to the more deeply bound energy for symmetric nuclear matter and the larger symmetry energy encoded in the DBHF EOS. At supra-nuclear densities, the DBHF EOS exhibits characteristics of a larger free energy, a higher pressure, and a larger neutron chemical potential of neutron-rich matter, which lead to a larger radius of cold neutron stars than that obtained by the VM EOS.",

keywords = "D41, D42, E26",

author = "Shun Furusawa and Hajime Togashi and Kohsuke Sumiyoshi and Koichi Saito and Shoichi Yamada and Hideyuki Suzuki",

note = "Funding Information: This work was supported by a Grant-in-Aid for Scientific Research (26104006, 15K05093, 19K14723) and a Grant-in-Aid for Scientific Research on Innovative areas &qout;Gravitationalwave physics and astronomy: Genesis&qout; (17H06357, 17H06365) and &qout;Unraveling the History of the Universe and Matter Evolution with Underground Physics&qout; (19H05802, 19H05811) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan. Some of the numerical calculations were carried out on the PC cluster at the Center for Computational Astrophysics, National Astronomical Observatory of Japan and XC40 at YITP at Kyoto University. K.S. acknowledges the use of HPC resources at KEK, JLDG, RCNP at Osaka University, YITP at Kyoto University, and Nagoya University, This work was partly supported by research programs at the K-computer of RIKEN AICS as well as JICFus and the HPCI Strategic Program of MEXT for a post-K-computer. Publisher Copyright: {\textcopyright} 2020 The Author(s) 2020. Published by Oxford University Press on behalf of the Physical Society of Japan.",

year = "2020",

month = jan,

day = "1",

doi = "10.1093/ptep/ptz135",

language = "English",

volume = "2020",

journal = "Progress of Theoretical and Experimental Physics",

issn = "2050-3911",

publisher = "Oxford University Press",

number = "1",

}