Self-bound quark matter in the NJL model revisited: from schematic droplets to domain-wall solitons

Abstract

The existence and the properties of self-bound quark matter in the NJL model at zero temperature are investigated in mean-field approximation, focusing on inhomogeneous structures with one-dimensional spatial modulations. It is found that the most stable homogeneous solutions which have previously been interpreted as schematic quark droplets are unstable against formation of a one-dimensional soliton-antisoliton lattice. The solitons repel each other, so that the minimal energy per quark is realized in the single-soliton limit. The properties of the solitons and their interactions are discussed in detail, and the effect of vector interactions is estimated. The results may be relevant for the dynamics of expanding quark matter.

arXiv comment21 pages, 6 figures; v2: modified title, discussion of soliton-soliton interactions corrected; version accepted for publication

References in corpus (24)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Baryons as non-topological chiral solitons
• Baryons as Chiral Solitons in the Nambu--Jona-Lasinio Model
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Chiral symmetry and density wave in quark matter
• How many phases meet at the chiral critical point?
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model (Addenda)
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model
• Role of Vector Interaction and Axial Anomaly in the PNJL Modeling of the QCD Phase Diagram
• Strange quark matter with dynamically generated quark masses
• Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors
• The Problem of Matter Stability in the Nambu--Jona-Lasinio Model
• The Surface Tension of Quark Matter in a Geometrical Approach
• Critical surface in hot and dense QCD with the vector interaction
• Crystalline chiral condensates off the tricritical point in a generalized Ginzburg-Landau approach
• Non-uniform chiral phase in effective chiral quark models
• Two-dimensional chiral crystals in the NJL model
• Critical spectrum of fluctuations for deconfinement at proto-neutron star cores
• Quark Droplets in the NJL Mean Field
• Generic features of the phase transition in cold and dense quark matter
• Thermodynamics of quark quasi-particles ensemble

Cited by in corpus (8)

• Inhomogeneous chiral condensates
• Surface tension and curvature energy of quark matter in the NJL model
• Inhomogeneous chiral symmetry breaking in dense neutron-star matter
• Surface tension of highly magnetized degenerate quark matter
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Discussions on the crossover property within the Nambu--Jona-Lasinio model
• Crystalline phases by an improved gradient expansion technique
• Spatially modulated chiral condensates