Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy

Tews, Ingo; Lattimer, James M.; Ohnishi, Akira; Kolomeitsev, Evgeni E.

doi:10.3847/1538-4357/aa8db9

Title: Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy

Journal Article · Fri Oct 20 00:00:00 EDT 2017 · The Astrophysical Journal (Online)

DOI:https://doi.org/10.3847/1538-4357/aa8db9· OSTI ID:1537293

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Univ. of Washington, Seattle, WA (United States); Michigan State Univ., East Lansing, MI (United States)
Stony Brook Univ., NY (United States)
Kyoto Univ. (Japan)
Matej Bel Univ. (Slovakia); Joint Inst. for Nuclear Research (JINR), Dubna (Russian Federation)

We propose the existence of a lower bound on the energy of pure neutron matter (PNM) on the basis of unitary-gas considerations. We discuss its justification from experimental studies of cold atoms as well as from theoretical studies of neutron matter. We demonstrate that this bound results in limits to the density-dependent symmetry energy, which is the difference between the energies of symmetric nuclear matter and PNM. In particular, this bound leads to a lower limit to the volume symmetry energy parameter S 0. In addition, for assumed values of S 0 above this minimum, this bound implies both upper and lower limits to the symmetry energy slope parameter L ,which describes the lowest-order density dependence of the symmetry energy. A lower bound on neutron-matter incompressibility is also obtained. These bounds are found to be consistent with both recent calculations of the energies of PNM and constraints from nuclear experiments. Our results are significant because several equations of state that are currently used in astrophysical simulations of supernovae and neutron star mergers, as well as in nuclear physics simulations of heavy-ion collisions, have symmetry energy parameters that violate these bounds. Furthermore, below the nuclear saturation density, the bound on neutron-matter energies leads to a lower limit to the density-dependent symmetry energy, which leads to upper limits to the nuclear surface symmetry parameter and the neutron-star crust–core boundary. We also obtain a lower limit to the neutron-skin thicknesses of neutron-rich nuclei. Above the nuclear saturation density, the bound on neutron-matter energies also leads to an upper limit to the symmetry energy, with implications for neutron-star cooling via the direct Urca process.

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Research Organization:: Univ. of Washington, Seattle, WA (United States); State Univ. of New York (SUNY), Albany, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-00ER41132; FG02-87ER40317

OSTI ID:: 1537293

Journal Information:: The Astrophysical Journal (Online), Vol. 848, Issue 2; ISSN 1538-4357

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 188 works

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Correlations among symmetry energy elements in Skyrme models Mondal, C.; Agrawal, B. K.; De, J. N. International Journal of Modern Physics E, Vol. 27, Issue 09 https://doi.org/10.1142/s0218301318500787	journal	September 2018
Combined Constraints on the Equation of State of Dense Neutron-rich Matter from Terrestrial Nuclear Experiments and Observations of Neutron Stars Zhang, Nai-Bo; Li, Bao-An; Xu, Jun The Astrophysical Journal, Vol. 859, Issue 2 https://doi.org/10.3847/1538-4357/aac027	journal	May 2018
Cooling Timescale for Protoneutron Stars and Properties of Nuclear Matter: Effective Mass and Symmetry Energy at High Densities Nakazato, Ken’ichiro; Suzuki, Hideyuki The Astrophysical Journal, Vol. 878, Issue 1 https://doi.org/10.3847/1538-4357/ab1d4b	journal	June 2019
Comparing Treatments of Weak Reactions with Nuclei in Simulations of Core-collapse Supernovae Nagakura, Hiroki; Furusawa, Shun; Togashi, Hajime The Astrophysical Journal Supplement Series, Vol. 240, Issue 2 https://doi.org/10.3847/1538-4365/aafac9	journal	February 2019
A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation Riley, T. E.; Watts, A. L.; Bogdanov, S. The Astrophysical Journal, Vol. 887, Issue 1 https://doi.org/10.3847/2041-8213/ab481c	journal	December 2019
The equation of state for dense nucleonic matter from a metamodeling. I. Foundational aspects Margueron, J.; Casali, R. Hoffmann; Gulminelli, F. arXiv https://doi.org/10.48550/arxiv.1708.06894	text	January 2017
Heavy Nuclei as Thermal Insulation for Proto-Neutron Stars Nakazato, Ken'ichiro; Suzuki, Hideyuki; Togashi, Hajime arXiv https://doi.org/10.48550/arxiv.1710.10441	text	January 2017
The state of matter in simulations of core-collapse supernovae -- Reflections and recent developments Fischer, Tobias; Bastian, Niels-Uwe; Blaschke, David arXiv https://doi.org/10.48550/arxiv.1711.07411	text	January 2017
Revival of the Fittest: Exploding Core-Collapse Supernovae from 12 to 25 M$_{\odot}$ Vartanyan, David; Burrows, Adam; Radice, David arXiv https://doi.org/10.48550/arxiv.1801.08148	text	January 2018
Nuclear Equation of state for Compact Stars and Supernovae Burgio, G. Fiorella; Fantina, Anthea F. arXiv https://doi.org/10.48550/arxiv.1804.03020	text	January 2018
On the effect of high order empirical parameters on the nuclear equation of state Margueron, J.; Gulminelli, F. arXiv https://doi.org/10.48550/arxiv.1807.01729	text	January 2018
Distinguishing the nature of comparable-mass neutron star binary systems with multimessenger observations: GW170817 case study Hinderer, Tanja; Nissanke, Samaya; Foucart, Francois arXiv https://doi.org/10.48550/arxiv.1808.03836	text	January 2018
A Successful 3D Core-Collapse Supernova Explosion Model Vartanyan, David; Burrows, Adam; Radice, David arXiv https://doi.org/10.48550/arxiv.1809.05106	text	January 2018
Correlations among symmetry energy elements in Skyrme models Mondal, C.; Agrawal, B. K.; De, J. N. arXiv https://doi.org/10.48550/arxiv.1809.05354	text	January 2018
Tidal deformability with sharp phase transitions in (binary) neutron stars Han, Sophia; Steiner, Andrew W. arXiv https://doi.org/10.48550/arxiv.1810.10967	text	January 2018
Constraining nuclear matter parameters with GW170817 Carson, Zack; Steiner, Andrew W.; Yagi, Kent arXiv https://doi.org/10.48550/arxiv.1812.08910	text	January 2018
Comparing treatments of weak reactions with nuclei in simulations of core-collapse supernovae Nagakura, Hiroki; Furusawa, Shun; Togashi, Hajime arXiv https://doi.org/10.48550/arxiv.1812.09811	text	January 2018
A General-relativistic Determination of the Threshold Mass to Prompt Collapse in Binary Neutron Star Mergers Köppel, Sven; Bovard, Luke; Rezzolla, Luciano arXiv https://doi.org/10.48550/arxiv.1901.09977	text	January 2019
Three-Dimensional Supernova Explosion Simulations of 9-, 10-, 11-, 12-, and 13-M$_{\odot}$ Stars Burrows, Adam; Radice, David; Vartanyan, David arXiv https://doi.org/10.48550/arxiv.1902.00547	text	January 2019
The impact of the crust equation of state on the analysis of GW170817 Gamba, Rossella; Read, Jocelyn S.; Wade, Leslie E. arXiv https://doi.org/10.48550/arxiv.1902.04616	text	January 2019
Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules Cai, Bao-Jun; Chen, Lie-Wen arXiv https://doi.org/10.48550/arxiv.1903.10430	text	January 2019
Signatures for quark matter from multi-messenger observations Alford, Mark G.; Han, Sophia; Schwenzer, Kai arXiv https://doi.org/10.48550/arxiv.1904.05471	text	January 2019
Cooling timescale for protoneutron stars and properties of nuclear matter: Effective mass and symmetry energy at high densities Nakazato, Ken'ichiro; Suzuki, Hideyuki arXiv https://doi.org/10.48550/arxiv.1905.00014	text	January 2019
Effects of nuclear symmetry energy and equation of state on neutron star properties Ji, Fan; Hu, Jinniu; Bao, Shishao arXiv https://doi.org/10.48550/arxiv.1910.02266	text	January 2019

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