Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy
Abstract
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-mattermore »
- Authors:
-
[1];
[2];
[3];
[4]
- 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)
- Publication Date:
- Research Org.:
- Univ. of Washington, Seattle, WA (United States); State Univ. of New York (SUNY), Albany, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1537293
- Grant/Contract Number:
- FG02-00ER41132; FG02-87ER40317
- Resource Type:
- Accepted Manuscript
- Journal Name:
- The Astrophysical Journal (Online)
- Additional Journal Information:
- Journal Name: The Astrophysical Journal (Online); Journal Volume: 848; Journal Issue: 2; Journal ID: ISSN 1538-4357
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Astronomy & Astrophysics
Citation Formats
Tews, Ingo, Lattimer, James M., Ohnishi, Akira, and Kolomeitsev, Evgeni E. Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy. United States: N. p., 2017.
Web. doi:10.3847/1538-4357/aa8db9.
Tews, Ingo, Lattimer, James M., Ohnishi, Akira, & Kolomeitsev, Evgeni E. Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy. United States. https://doi.org/10.3847/1538-4357/aa8db9
Tews, Ingo, Lattimer, James M., Ohnishi, Akira, and Kolomeitsev, Evgeni E. Fri .
"Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy". United States. https://doi.org/10.3847/1538-4357/aa8db9. https://www.osti.gov/servlets/purl/1537293.
@article{osti_1537293,
title = {Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy},
author = {Tews, Ingo and Lattimer, James M. and Ohnishi, Akira and Kolomeitsev, Evgeni E.},
abstractNote = {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.},
doi = {10.3847/1538-4357/aa8db9},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 848,
place = {United States},
year = {2017},
month = {10}
}
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- Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 6
Nuclear symmetry energy and hadron-quark mixed phase in neutron stars
journal, June 2019
- Wu, X. H.; Shen, H.
- Physical Review C, Vol. 99, Issue 6
Correlations among symmetry energy elements in Skyrme models
journal, September 2018
- Mondal, C.; Agrawal, B. K.; De, J. N.
- International Journal of Modern Physics E, Vol. 27, Issue 09
Combined Constraints on the Equation of State of Dense Neutron-rich Matter from Terrestrial Nuclear Experiments and Observations of Neutron Stars
journal, May 2018
- Zhang, Nai-Bo; Li, Bao-An; Xu, Jun
- The Astrophysical Journal, Vol. 859, Issue 2
Cooling Timescale for Protoneutron Stars and Properties of Nuclear Matter: Effective Mass and Symmetry Energy at High Densities
journal, June 2019
- Nakazato, Ken’ichiro; Suzuki, Hideyuki
- The Astrophysical Journal, Vol. 878, Issue 1
Comparing Treatments of Weak Reactions with Nuclei in Simulations of Core-collapse Supernovae
journal, February 2019
- Nagakura, Hiroki; Furusawa, Shun; Togashi, Hajime
- The Astrophysical Journal Supplement Series, Vol. 240, Issue 2
A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
journal, December 2019
- Riley, T. E.; Watts, A. L.; Bogdanov, S.
- The Astrophysical Journal, Vol. 887, Issue 1
The equation of state for dense nucleonic matter from a metamodeling. I. Foundational aspects
text, January 2017
- Margueron, J.; Casali, R. Hoffmann; Gulminelli, F.
- arXiv
Heavy Nuclei as Thermal Insulation for Proto-Neutron Stars
text, January 2017
- Nakazato, Ken'ichiro; Suzuki, Hideyuki; Togashi, Hajime
- arXiv
The state of matter in simulations of core-collapse supernovae -- Reflections and recent developments
text, January 2017
- Fischer, Tobias; Bastian, Niels-Uwe; Blaschke, David
- arXiv
Revival of the Fittest: Exploding Core-Collapse Supernovae from 12 to 25 M$_{\odot}$
text, January 2018
- Vartanyan, David; Burrows, Adam; Radice, David
- arXiv
Nuclear Equation of state for Compact Stars and Supernovae
text, January 2018
- Burgio, G. Fiorella; Fantina, Anthea F.
- arXiv
On the effect of high order empirical parameters on the nuclear equation of state
text, January 2018
- Margueron, J.; Gulminelli, F.
- arXiv
Distinguishing the nature of comparable-mass neutron star binary systems with multimessenger observations: GW170817 case study
text, January 2018
- Hinderer, Tanja; Nissanke, Samaya; Foucart, Francois
- arXiv
A Successful 3D Core-Collapse Supernova Explosion Model
text, January 2018
- Vartanyan, David; Burrows, Adam; Radice, David
- arXiv
Correlations among symmetry energy elements in Skyrme models
text, January 2018
- Mondal, C.; Agrawal, B. K.; De, J. N.
- arXiv
Tidal deformability with sharp phase transitions in (binary) neutron stars
text, January 2018
- Han, Sophia; Steiner, Andrew W.
- arXiv
Constraining nuclear matter parameters with GW170817
text, January 2018
- Carson, Zack; Steiner, Andrew W.; Yagi, Kent
- arXiv
Comparing treatments of weak reactions with nuclei in simulations of core-collapse supernovae
text, January 2018
- Nagakura, Hiroki; Furusawa, Shun; Togashi, Hajime
- arXiv
A General-relativistic Determination of the Threshold Mass to Prompt Collapse in Binary Neutron Star Mergers
text, January 2019
- Köppel, Sven; Bovard, Luke; Rezzolla, Luciano
- arXiv
Three-Dimensional Supernova Explosion Simulations of 9-, 10-, 11-, 12-, and 13-M$_{\odot}$ Stars
text, January 2019
- Burrows, Adam; Radice, David; Vartanyan, David
- arXiv
The impact of the crust equation of state on the analysis of GW170817
text, January 2019
- Gamba, Rossella; Read, Jocelyn S.; Wade, Leslie E.
- arXiv
Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
text, January 2019
- Cai, Bao-Jun; Chen, Lie-Wen
- arXiv
Signatures for quark matter from multi-messenger observations
text, January 2019
- Alford, Mark G.; Han, Sophia; Schwenzer, Kai
- arXiv
Cooling timescale for protoneutron stars and properties of nuclear matter: Effective mass and symmetry energy at high densities
text, January 2019
- Nakazato, Ken'ichiro; Suzuki, Hideyuki
- arXiv
Effects of nuclear symmetry energy and equation of state on neutron star properties
text, January 2019
- Ji, Fan; Hu, Jinniu; Bao, Shishao
- arXiv