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A new equation of state for core-collapse supernovae based on realistic nuclear forces and including a full nuclear ensemble

Furusawa, S. and Togashi, H. and Nagakura, H. and Sumiyoshi, K. and Yamada, S. and Suzuki, Hidenori and Takano, M. (2017) A new equation of state for core-collapse supernovae based on realistic nuclear forces and including a full nuclear ensemble. Journal of Physics G: Nuclear and Particle Physics, 44 (9). Art. No. 094001. ISSN 0954-3899. doi:10.1088/1361-6471/aa7f35. https://resolver.caltech.edu/CaltechAUTHORS:20170728-123932686

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Abstract

We have constructed a nuclear equation of state (EOS) that includes a full nuclear ensemble for use in core-collapse supernova simulations. It is based on the EOS for uniform nuclear matter that two of the authors derived recently, applying a variational method to realistic two- and three-body nuclear forces. We have extended the liquid drop model of heavy nuclei, utilizing the mass formula that accounts for the dependences of bulk, surface, Coulomb and shell energies on density and/or temperature. As for light nuclei, we employ a quantum-theoretical mass evaluation, which incorporates the Pauli- and self-energy shifts. In addition to realistic nuclear forces, the inclusion of in-medium effects on the full ensemble of nuclei makes the new EOS one of the most realistic EOSs, which covers a wide range of density, temperature and proton fraction that supernova simulations normally encounter. We make comparisons with the FYSS EOS, which is based on the same formulation for the nuclear ensemble but adopts the relativistic mean field theory with the TM1 parameter set for uniform nuclear matter. The new EOS is softer than the FYSS EOS around and above nuclear saturation densities. We find that neutron-rich nuclei with small mass numbers are more abundant in the new EOS than in the FYSS EOS because of the larger saturation densities and smaller symmetry energy of nuclei in the former. We apply the two EOSs to 1D supernova simulations and find that the new EOS gives lower electron fractions and higher temperatures in the collapse phase owing to the smaller symmetry energy. As a result, the inner core has smaller masses for the new EOS. It is more compact, on the other hand, due to the softness of the new EOS and bounces at higher densities. It turns out that the shock wave generated by core bounce is a bit stronger initially in the simulation with the new EOS. The ensuing outward propagations of the shock wave in the outer core are very similar in the two simulations, which may be an artifact, though, caused by the use of the same tabulated electron capture rates for heavy nuclei ignoring differences in the nuclear composition between the two EOSs in these computations.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1361-6471/aa7f35DOIArticle
http://iopscience.iop.org/article/10.1088/1361-6471/aa7f35/metaPublisherArticle
https://arxiv.org/abs/1707.06410arXivDiscussion Paper
ORCID:
AuthorORCID
Nagakura, H.0000-0002-7205-6367
Sumiyoshi, K.0000-0002-9224-9449
Yamada, S.0000-0002-2166-5605
Additional Information:© 2017 IOP Publishing. Received 22 March 2017; Accepted 12 July 2017; Accepted Manuscript online 12 July 2017; Published 25 July 2017. S. F. and H. N. were supported by Japan Society for the Promotion of Science Postdoctoral Fellowships for Research Abroad. Some numerical calculations were carried out on the PC cluster at the Center for Computational Astrophysics, National Astronomical Observatory of Japan. This work was supported by the RIKEN iTHES Project and in part by the usage of supercomputer systems through the Large Scale Simulation Program (Nos. 15/16/-08,16/17-11) of High Energy Accelerator Research Organization (KEK) and Post-K Projects (hp 150225, hp160071, hp160211, hp170031, hp170230) at K-computer, RIKEN AICS as well as the computational resources provided by RCNP at Osaka University, YITP at Kyoto University, University of Tokyo and JLDG. This work was supported by a Grant-in-Aid for the Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan (24103006, 24244036, 16H03986, 15K05093, 24105008, 25400275, 26104006).
Group:TAPIR, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Japan Society for the Promotion of Science (JSPS)UNSPECIFIED
RIKEN iTHES ProjectUNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)24103006
Ministry of Education, Culture, Sports, Science and Technology (MEXT)24244036
Ministry of Education, Culture, Sports, Science and Technology (MEXT)16H03986
Ministry of Education, Culture, Sports, Science and Technology (MEXT)15K05093
Ministry of Education, Culture, Sports, Science and Technology (MEXT)24105008
Ministry of Education, Culture, Sports, Science and Technology (MEXT)25400275
Ministry of Education, Culture, Sports, Science and Technology (MEXT)26104006
Issue or Number:9
DOI:10.1088/1361-6471/aa7f35
Record Number:CaltechAUTHORS:20170728-123932686
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170728-123932686
Official Citation:S Furusawa et al 2017 J. Phys. G: Nucl. Part. Phys. 44 094001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79542
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:28 Jul 2017 23:13
Last Modified:12 Jul 2022 19:47

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