Momentum Shell in Quarkyonic Matter from Explicit Duality: A Dual Model for Cold, Dense QCD

Abstract

We present a model of cold QCD matter that bridges nuclear and quark matter through the duality relation between quarks and baryons. The baryon number and energy densities are expressed as functionals of either the baryon momentum distribution, $f_{\mathrm{B}}$, or the quark distribution, $f_{\mathrm{Q}}$, which are subject to the constraints on fermions, $0\le f_{\mathrm{B},\mathrm{Q}}\le 1$. The theory is ideal in the sense that the confinement of quarks into baryons is reflected in the duality relation between $f_{\mathrm{Q}}$ and $f_{\mathrm{B}}$, while other possible interactions among quarks and baryons are all neglected. The variational problem with the duality constraints is formulated and we explicitly construct analytic solutions, finding two distinct regimes: A nuclear matter regime at low density and a Quarkyonic regime at high density. In the Quarkyonic regime, baryons underoccupy states at low momenta but form a momentum shell with $f_{\mathrm{B}}=1$ on top of a quark Fermi sea. Such a theory describes a rapid transition from a soft nuclear equation of state to a stiff Quarkyonic equation of state. At this transition, there is a rapid increase in the pressure.

6 pages, 3 figures; v2: published version

References in corpus (32)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
• Cold Quark Matter
• Sound velocity bound and neutron stars
• On the Sound Speed in Neutron Stars
• Phenomenological QCD equation of state for massive neutron stars
• Limiting masses and radii of neutron stars and their implications
• Strongly interacting matter exhibits deconfined behavior in massive neutron stars
• Trace anomaly as signature of conformality in neutron stars
• Quarkyonic Matter Equation of State in Beta-Equilibrium
• Reaching percolation and conformal limits in neutron stars
• Cold quark matter at N3LO: soft contributions
• Implications of NICER for neutron star matter: the QHC21 equation of state
• Inference of the sound speed and related properties of neutron stars
• Extensive Studies of the Neutron Star Equation of State from the Deep Learning Inference with the Observational Data Augmentation
• Stiffening of matter in quark-hadron continuity
• Impact of large-mass constraints on the properties of neutron stars
• Holographic quarkyonic matter
• Excluded-volume model for quarkyonic Matter: Three-flavor baryon-quark Mixture
• Peaks of sound velocity in two color dense QCD: quark saturation effects and semishort range correlations
• Large and massive neutron stars: Implications for the sound speed in dense QCD
• Finite-Temperature Quarkyonic Matter with an Excluded Volume Model
• Excluded-volume model for quarkyonic matter II: Three-flavor shell-like distribution of baryons in phase space
• Cusp in the Symmetry Energy, Speed of Sound in Neutron Stars and Emergent Pseudo-Conformal Symmetry
• A field theoretical model for quarkyonic matter
• Quarkyonic or baryquark matter? On the dynamical generation of momentum space shell structure
• Quarkyonic Mean Field Theory

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• Sound velocity peak and conformality in isospin QCD
• Novel Scalings of Neutron Star Properties from Analyzing Dimensionless Tolman--Oppenheimer--Volkoff Equations
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• Signature of hadron-quark crossover in binary-neutron-star mergers
• Tripling Fluctuations and Peaked Sound Speed in Fermionic Matter
• Thermal effects on sound velocity peak and conformality in isospin QCD
• Quarkyonic picture of isospin QCD
• Neutron-quark stars: Discerning viable alternatives for the higher-density part of the equation of state of compact stars
• Equation of state for hyperonic neutron-star matter in SU(3) flavor symmetry
• Stiffening of matter in quark-hadron continuity: a mini-review
• Bulk Viscosity of Two-Flavor Color Superconducting Quark Matter in Neutron Star Mergers
• Roles of $U(1)$ axial anomaly effects in cold and dense two-color QCD with $2+2$ flavors
• Quarkyonic matter and hadron-quark crossover from an ultracold atom perspective
• The maximum mass and rotational kinetic energy of rapidly rotating neutron stars
• A dual description of quarks and baryons: Quarkyonic matter within a relativistic quark model
• Thermal quarks and Polyakov loops in two-color dense QCD