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

Massive neutron stars with a color superconducting quark matter core

Journal Article · · Physical Review C
In this work, we construct the equation of state for high-density neutron star matter at zero temperature using the two-flavor Nambu–Jona-Lasinio (NJL) model as an effective theory of QCD. We build nuclear matter, quark matter, and the mixed phases from the same NJL Lagrangian, which has been used to model free and in-medium hadrons as well as nuclear systems. A focus here is to determine if the same coupling constants in the scalar diquark and vector meson channels, which give a good description of nucleon structure and nuclear matter, can also be used for the color superconducting high-density quark matter phase. We find that this is possible for the scalar diquark (pairing) interaction, but the vector meson interaction has to be reduced so that superconducting quark matter becomes the stable phase at high densities. We compare our equation of state with recent phenomenological parametrizations based on generic stability conditions for neutron stars. We find that the maximum mass of a hybrid star, with a color superconducting quark matter core, exceeds 2.01 ± 0.04 M⊙, which is the value of the recently observed massive neutron star PSR J0348+0432. The mass-radius relation is also consistent with gravitational wave observations (GW170817).
Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1763708
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 5 Vol. 101; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (82)

Two Lectures on Color Superconductivity* journal August 2005
The Nambu and Jona-Lasinio model: Its implications for Hadrons and Nuclei journal January 1991
Superfluidity and superconductivity in relativistic fermion systems journal May 1984
QCD phenomenology based on a chiral effective Lagrangian journal October 1994
An equation of state for nuclear and higher-density matter based on relativistic mean-field theory journal September 1974
The ratio of the nucleon structure functions F2N for iron and deuterium journal March 1983
Strange goings on in dense nucleonic matter journal July 1986
Phases of dense matter in neutron stars journal May 2000
Direct extraction of the chiral quark condensate and bounds on the light quark masses journal January 1998
QCD at finite baryon density: nucleon droplets and color superconductivity journal March 1998
The stability of nuclear matter in the Nambu–Jona-Lasinio model journal December 2001
Mixed phases of color superconducting quark matter journal February 2003
Phase transition from nuclear matter to color superconducting quark matter journal June 2003
Charge screening at first order phase transitions and hadron–quark mixed phase journal July 2003
Diquark confinement in an extended NJL model journal November 1997
Gapless color superconductivity at zero and at finite temperature journal December 2003
How robust is a 2SC quark matter phase under compact star constraints? journal August 2005
Extensive study of phase diagram for charge-neutral homogeneous quark matter affected by dynamical chiral condensation: unified picture for thermal unpairing transitions from weak to strong coupling journal March 2006
Nucleon quark distributions in a covariant quark–diquark model journal August 2005
The phases of isospin-asymmetric matter in the two-flavor NJL model journal January 2006
EMC and polarized EMC effects in nuclei journal November 2006
Transversity quark distributions in a covariant quark–diquark model journal January 2008
Baryon octet electromagnetic form factors in a confining NJL model journal August 2016
NJL-model analysis of dense quark matter journal February 2005
A two-solar-mass neutron star measured using Shapiro delay journal October 2010
A new quark-hadron hybrid equation of state for astrophysics: I. High-mass twin compact stars journal April 2015
The Ground State of Matter at High Densities: Equation of State and Stellar Models journal November 1971
Hadron-Quark Crossover and Massive Hybrid Stars with Strangeness journal January 2013
The phase diagram of dense QCD journal December 2010
Phase transitions in compact stars journal March 2005
Exposing novel quark and gluon effects in nuclei journal July 2019
From hadrons to quarks in neutron stars: a review journal March 2018
Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I journal April 1961
Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II journal October 1961
Static Solutions of Einstein's Field Equations for Spheres of Fluid journal February 1939
On Massive Neutron Cores journal February 1939
Phase transitions in warm, asymmetric nuclear matter journal October 1995
Role of the nuclear vector potential in deep inelastic scattering journal January 2006
Improved nuclear matter calculations from chiral low-momentum interactions journal March 2011
Region of a hadron-quark mixed phase in hybrid stars journal June 2011
Maximum mass and radius of neutron stars, and the nuclear symmetry energy journal March 2012
Surface tension of quark matter in a geometrical approach journal August 2012
Noncongruence of the nuclear liquid-gas and deconfinement phase transitions journal July 2013
Surface tension and curvature energy of quark matter in the Nambu–Jona-Lasinio model journal October 2013
Role of diquark correlations and the pion cloud in nucleon elastic form factors journal October 2014
Dressed quark mass dependence of pion and kaon form factors journal February 2015
Hybrid stars using the quark-meson coupling and proper-time Nambu–Jona-Lasinio models journal March 2016
Constant-sound-speed parametrization for Nambu–Jona-Lasinio models of quark matter in hybrid stars journal April 2016
Flavor dependence of the pion and kaon form factors and parton distribution functions journal September 2016
Finite-size effects on the hadron-quark phase transition in neutron stars journal August 2017
Transverse-momentum-dependent quark distribution functions of spin-one targets: Formalism and covariant calculations journal October 2017
First-order phase transitions with more than one conserved charge: Consequences for neutron stars journal August 1992
Color-neutral superconducting quark matter journal November 2002
Phase diagram of neutral quark matter: Self-consistent treatment of quark masses journal August 2005
Generic conditions for stable hybrid stars journal October 2013
Quark-nuclear hybrid star equation of state with excluded volume effects journal September 2017
Studies of the structure of massive hybrid stars within a modified NJL model journal May 2018
Surface tension of dense matter at the chiral phase transition journal January 2019
Isovector EMC Effect and the NuTeV Anomaly journal June 2009
Parity-Violating Deep Inelastic Scattering and the Flavor Dependence of the EMC Effect journal October 2012
Relativistic and Nuclear Medium Effects on the Coulomb Sum Rule journal January 2016
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral journal October 2017
GW170817: Measurements of Neutron Star Radii and Equation of State journal October 2018
Quark matter droplets in neutron stars journal March 1993
Diquark Bose Condensates in High Density Matter and Instantons journal July 1998
Continuity of Quark and Hadron Matter journal May 1999
Spin-Dependent Structure Functions in Nuclear Matter and the Polarized EMC Effect journal July 2005
Pairing in nuclear systems: from neutron stars to finite nuclei journal April 2003
Color superconductivity in dense quark matter journal November 2008
A Massive Pulsar in a Compact Relativistic Binary journal April 2013
Swift and NuSTAR observations of GW170817: Detection of a blue kilonova journal October 2017
Hyperon-nucleon single-particle potentials with low-momentum interactions journal April 2008
Chiral four-body interactions in nuclear matter journal October 2012
The equation of state of neutron matter, symmetry energy and neutron star structure journal February 2014
Color Superconductivity at Finite Density and Temperature with Flavor Asymmetry journal December 2001
The challenge of the EMC effect: Existing data and future directions journal August 2014
Phase transitions in neutron stars journal November 2018
Charge Screening Effect in the Hadron-Quark Mixed Phase journal February 2006
Hydrostatic Equilibrium of Hypothetical Quark Stars journal July 1970
The Nuclear EMC Effect journal December 1995
Two Novel Approaches to the Hadron-Quark Mixed Phase in Compact Stars journal September 2018
Impact of Vector-Current Interactions on the QCD Phase Diagram journal January 2013

Similar Records

Quark matter in high-mass neutron stars?
Journal Article · Tue Sep 15 00:00:00 EDT 2015 · Physics of Particles and Nuclei · OSTI ID:22977416

Equations of state and stability of color-superconducting quark matter cores in hybrid stars
Journal Article · Thu Jan 14 23:00:00 EST 2010 · Physical Review. D, Particles Fields · OSTI ID:21409033

Light front NJL model at finite temperature
Journal Article · Tue Jun 14 00:00:00 EDT 2005 · AIP Conference Proceedings · OSTI ID:20722850