Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Imprints of the nuclear symmetry energy on the tidal deformability of neutron stars

Journal Article · · Journal of Physics. G, Nuclear and Particle Physics
 [1];  [2]
  1. Harvard Univ., Cambridge, MA (United States); Texas A&M University-Commerce
  2. Texas A & M Univ., Commerce, TX (United States)
Applying an equation of state (EOS) with its symmetric nuclear matter contribution and low-density symmetry energy Esym(ρ) constrained by heavy-ion reaction data, we calculate the dimensionless tidal deformability Λ of neutron stars in coalescing binary systems. Corresponding to the partially constrained EOS that previously predicted a radius of 11.5 km ≤ $${R}_{1.4}$$ ≤ 13.6 km for canonical neutron-star configurations, Λ is found to be in the range of 292 ≤ $${{\rm{\Lambda }}}_{1.4}$$ ≤ 680, consistent with the very recent observation of the GW170817 event. Here, we investigate the effect of the high-density behavior of Esym(ρ) on the tidal properties of neutron stars and find that while Λ depends strongly on the details of the symmetry energy, different trends of Esym(ρ) lead to very similar values of Λ. In particular, the transition from stiff/soft-to-soft/stiff Esym(ρ) could yield the same Λ. Thus, measuring Λ alone may not determine completely the density dependence of the symmetry energy. Coherent analyses of the dense neutron-rich nuclear matter EOS underlying both nuclear laboratory experiments and astrophysical observations are therefore necessary to break this degeneracy and determine precisely the details of the Esym(ρ).
Research Organization:
Texas A & M Univ., Commerce, TX (United States)
Sponsoring Organization:
National Natural Science Foundation of China (NNSFC); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0009971; SC0013702
OSTI ID:
1658224
Alternate ID(s):
OSTI ID: 1611282
OSTI ID: 22899626
Journal Information:
Journal of Physics. G, Nuclear and Particle Physics, Journal Name: Journal of Physics. G, Nuclear and Particle Physics Journal Issue: 7 Vol. 46; ISSN 0954-3899
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (128)

The inner boundary of a neutron-star crust journal March 1995
Degenerate limit thermodynamics beyond leading order for models of dense matter journal December 2015
Effects of momentum-dependent symmetry potential on heavy-ion collisions induced by neutron-rich nuclei journal May 2004
Constraining the radii of neutron stars with terrestrial nuclear laboratory data journal November 2006
Effects of isospin and momentum dependent interactions on liquid–gas phase transition in hot asymmetric nuclear matter journal July 2007
Nuclear limits on gravitational waves from elliptically deformed pulsars journal September 2008
Constraining the neutron–proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density journal November 2013
Reaction dynamics with exotic nuclei journal May 2005
Isospin asymmetry in nuclei and neutron stars journal June 2005
Recent progress and new challenges in isospin physics with heavy-ion reactions journal August 2008
The nuclear symmetry energy journal November 2016
Constraining a possible time-variation of the gravitational constant through “gravitochemical heating” of neutron stars journal November 2009
Models of rapidly rotating neutron stars journal November 1984
Hot Nuclear Matter journal January 1985
A unified equation of state of dense matter and neutron star structure journal December 2001
Coalescing binary neutron stars journal October 1992
Tidal interactions of inspiraling compact binaries journal November 1992
Neutron Star Structure and the Equation of State journal March 2001
Constraining Properties of Rapidly Rotating Neutron Stars Using Data from Heavy‐Ion Collisions journal April 2008
Tidal Love Numbers of Neutron Stars journal April 2008
Nuclear Constraints on the Moments of Inertia of Neutron Stars journal September 2008
Nuclear Constraints on Properties of Neutron star Crusts journal May 2009
Neutron star Masses and Radii from Quiescent Low-Mass X-Ray Binaries journal March 2014
Double Compact Objects. iii. Gravitational-Wave Detection Rates journal June 2015
A Survey of the Parameter Space of the Compressible Liquid drop Model as Applied to the Neutron star Inner Crust journal December 2012
A way forward in the study of the symmetry energy: experiment, theory, and observation journal July 2014
The nuclear symmetry energy journal January 2005
Neutron matter, symmetry energy and neutron stars journal January 2016
The Neutron star Mass-Radius Relation and the Equation of State of Dense Matter journal February 2013
Equation of state of nucleon matter and neutron star structure journal September 1998
Momentum dependence of symmetry potential in asymmetric nuclear matter for transport model calculations journal March 2003
Microscopic calculations in asymmetric nuclear matter journal May 2003
Momentum dependence of the symmetry potential and nuclear reactions induced by neutron-rich nuclei at RIA journal January 2004
Isospin diffusion in heavy-ion collisions and the neutron skin thickness of lead journal October 2005
Nucleon-nucleon cross sections in neutron-rich matter and isospin transport in heavy-ion reactions at intermediate energies journal December 2005
Neutron star properties and the equation of state of neutron-rich matter journal August 2006
Constraining a possible time variation of the gravitational constant G with terrestrial nuclear laboratory data journal November 2007
Density dependence of the nuclear symmetry energy: A microscopic perspective journal October 2009
Constraining the gravitational binding energy of PSR J0737-3039B using terrestrial nuclear data journal December 2009
Transition density and pressure in hot neutron stars journal May 2010
Weak charge form factor and radius of 208 Pb through parity violation in electron scattering journal March 2012
Constraints on the symmetry energy and neutron skins from experiments and theory journal July 2012
Constraining the high-density behavior of the nuclear symmetry energy with the tidal polarizability of neutron stars journal January 2013
Thermal properties of hot and dense matter with finite range interactions journal August 2015
Tidal deformability of neutron and hyperon stars within relativistic mean field equations of state journal January 2017
Bounds on the speed of sound in dense matter, and neutron star structure journal April 2017
GW170817: Constraining the nuclear matter equation of state from the neutron star tidal deformability journal September 2018
Critical examination of constraints on the equation of state of dense matter obtained from GW170817 journal October 2018
Innermost stable circular orbit of inspiraling neutron-star binaries: Tidal effects, post-Newtonian effects, and the neutron-star equation of state journal September 1996
Constraining neutron-star tidal Love numbers with gravitational-wave detectors journal January 2008
Relativistic theory of tidal Love numbers journal October 2009
Relativistic tidal properties of neutron stars journal October 2009
Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral journal June 2010
Tidal Love numbers of neutron and self-bound quark stars journal July 2010
Interferometer design of the KAGRA gravitational wave detector journal August 2013
Simulations of inspiraling and merging double neutron stars using the Spectral Einstein Code journal June 2016
Constraints on interquark interaction parameters with GW170817 in a binary strange star scenario journal April 2018
Measurement of the Neutron Radius of Pb 208 through Parity Violation in Electron Scattering journal March 2012
Effects of Neutron-Star Dynamic Tides on Gravitational Waveforms within the Effective-One-Body Approach journal May 2016
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral journal October 2017
Neutron Skins and Neutron Stars in the Multimessenger Era journal April 2018
Gravitational-Wave Constraints on the Neutron-Star-Matter Equation of State journal April 2018
New Constraints on Radii and Tidal Deformabilities of Neutron Stars from GW170817 journal June 2018
Neutron Star Tidal Deformabilities Constrained by Nuclear Theory and Experiment journal August 2018
GW170817: Measurements of Neutron Star Radii and Equation of State journal October 2018
Neutron Star Structure and the Neutron Radius of P 208 b journal June 2001
Isospin Diffusion and the Nuclear Symmetry Energy in Heavy Ion Reactions journal February 2004
Determination of the Stiffness of the Nuclear Symmetry Energy from Isospin Diffusion journal January 2005
Constraining a Possible Time Variation of the Gravitational Constant through “Gravitochemical Heating” of Neutron Stars journal September 2006
Determination of the Equation of State of Dense Matter journal October 2002
The Physics of Neutron Stars journal April 2004
A Radio Pulsar Spinning at 716 Hz journal March 2006
Topical issue on nuclear symmetry energy journal February 2014
Constraints on the symmetry energy using the mass-radius relation of neutron stars journal February 2014
Numerical Relativity book January 2015
Nuclear theory and science of the facility for rare isotope beams journal April 2014
Isospin Physics in Heavy-Ion Collisions at Intermediate Energies journal April 1998
Reaction Dynamics with Exotic Nuclei journal January 2002
Numerical Relativity journal January 1981
Weak charge form factor and radius of 208Pb through parity violation in electron scattering text January 2012
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral other January 2017
Neutron Star Structure and the Neutron Radius of 208Pb text January 2001
The Physics of Neutron Stars journal August 2018
The physics of neutron stars journal December 2010
Combined Constraints on the Equation of State of Dense Neutron-rich Matter from Terrestrial Nuclear Experiments and Observations of Neutron Stars journal May 2018
Neutron Star Equation of State from the Quark Level in Light of GW170817 journal July 2018
Multi-messenger Observations of a Binary Neutron Star Merger journal October 2017
GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations journal January 2018
Tidal Deformability from GW170817 as a Direct Probe of the Neutron Star Radius journal April 2018
Constraining neutron star tidal Love numbers with gravitational wave detectors text January 2007
Constraining properties of rapidly rotating neutron stars using data from heavy-ion collisions text January 2007
Tidal Love numbers of neutron stars text January 2007
Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions text January 2008
Nuclear limits on gravitational waves from elliptically deformed pulsars text January 2008
Nuclear constraints on properties of neutron star crusts text January 2009
Relativistic tidal properties of neutron stars text January 2009
Density dependence of the nuclear symmetry energy: a microscopic perspective text January 2009
Transition density and pressure in hot neutron stars text January 2010
Tidal Love Numbers of Neutron and Self-Bound Quark Stars text January 2010
A survey of the parameter space of the compressible liquid drop model as applied to the neutron star inner crust text January 2011
Weak charge form factor and radius of 208Pb through parity violation in electron scattering text January 2012
The Neutron Star Mass-Radius Relation and the Equation of State of Dense Matter text January 2012
Constraining the High-Density Behavior of Nuclear Symmetry Energy with the Tidal Polarizability of Neutron Stars text January 2012
Constraining the neutron-proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density text January 2013
Interferometer design of the KAGRA gravitational wave detector text January 2013
A way forward in the study of the symmetry energy: experiment, theory, and observation text January 2014
Double Compact Objects III: Gravitational Wave Detection Rates text January 2014
Degenerate limit thermodynamics beyond leading order for models of dense matter preprint January 2015
Bounds on the speed of sound in dense matter, and neutron star structure text January 2016
Tidal deformability of neutron and hyperon star with relativistic mean field equations of state text January 2016
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral text January 2017
Neutron skins and neutron stars in the multi-messenger era text January 2017
New constraints on radii and tidal deformabilities of neutron stars from GW170817 text January 2018
Neutron Star Structure and the Equation of State text January 2000
The Physics of Neutron Stars text January 2004
A Radio Pulsar Spinning at 716 Hz text January 2006
Constraining a possible time-variation of the gravitational constant through "gravitochemical heating" of neutron stars text January 2006
Momentum dependence of symmetry potential in asymmetric nuclear matter for transport model calculations text January 2002
Momentum dependence of the symmetry potential and nuclear reactions induced by neutron-rich nuclei at RIA text January 2003
Determination of the stiffness of the nuclear symmetry energy from isospin diffusion text January 2004
Isospin Asymmetry in Nuclei and Neutron Stars text January 2004
Isospin Diffusion in Heavy-Ion Collisions and the Neutron Skin Thickness of Lead text January 2005
Nucleon-nucleon cross sections in neutron-rich matter and isospin transport in heavy-ion reactions at intermediate energies text January 2005
Neutron star properties and the equation of state of neutron-rich matter text January 2006
Effects of isospin and momentum dependent interactions on liquid-gas phase transition in hot asymmetric nuclear matter text January 2007
The equation of state for nucleon matter and neutron star structure text January 1998
GW170817: Observation of gravitational waves from a binary neutron star inspiral text January 2017
Multi-messenger Observations of a Binary Neutron Star Merger text January 2017

Cited By (10)

High-density nuclear symmetry energy extracted from astrophysical observations
  • Li, Bao-An; Krastev, P. G.; Wen, De-Hua
  • XIAMEN-CUSTIPEN WORKSHOP ON THE EQUATION OF STATE OF DENSE NEUTRON-RICH MATTER IN THE ERA OF GRAVITATIONAL WAVE ASTRONOMY, AIP Conference Proceedings https://doi.org/10.1063/1.5117808
conference January 2019
Tidal deformability of binary neutron stars employing equation of state with LOCV approach journal November 2019
Role of the symmetry energy and the neutron-matter stiffness on the tidal deformability of a neutron star with unified equations of state journal September 2019
Effects of nuclear symmetry energy and equation of state on neutron star properties journal October 2019
Towards understanding astrophysical effects of nuclear symmetry energy journal July 2019
Implications of the Mass $M={2.17}_{-0.10}^{+0.11}$ M of PSR J0740+6620 on the Equation of State of Super-dense Neutron-rich Nuclear Matter journal July 2019
The Equation of State and Some Key Parameters of Neutron Stars: Constraints from GW170817, the Nuclear Data, and the Low-mass X-Ray Binary Data journal October 2019
Measurement of the Nuclear Symmetry Energy Parameters from Gravitational-wave Events journal November 2019
Effects of nuclear symmetry energy and equation of state on neutron star properties text January 2019
Role of the symmetry energy and the neutron-matter stiffness on the tidal deformability of a neutron star with unified equations of state text January 2019

Similar Records

Combined Constraints on the Equation of State of Dense Neutron-rich Matter from Terrestrial Nuclear Experiments and Observations of Neutron Stars
Journal Article · Mon May 28 20:00:00 EDT 2018 · The Astrophysical Journal (Online) · OSTI ID:1542024

Critical examination of constraints on the equation of state of dense matter obtained from GW170817
Journal Article · Sun Oct 21 20:00:00 EDT 2018 · Physical Review. C · OSTI ID:1609316

Impact of symmetry energy on sound speed and spinodal decomposition in dense neutron-rich matter
Journal Article · Mon Apr 24 20:00:00 EDT 2023 · European Physical Journal. A, Hadrons and Nuclei (Online) · OSTI ID:1997069