BCS-BEC Crossover and Stability in a Nambu-Jona-Lasinio Model with Diquark-Diquark Repulsion

Abstract

We investigate the equation of state (EoS) along the BCS-BEC crossover for a quark system described by a Nambu-Jona-Lasinio model with multi-fermion interactions. Together with attractive channels for particle-antiparticle ($\Gs$) and particle-particle ($\Gd$) interactions, a multi-fermion channel with coupling $\lambda$ that accounts for the diquark-diquark repulsion is also considered. The chiral and diquark condensates are found in the mean-field approximation for different values of the coupling constants. The parameter values where the BCS-BEC crossover can take place are found, and the EoS is used to identify the stability region where the BEC regime has positive pressure. We discuss how the particle density and the repulsive diquark-diquark interaction affect the stability window in the $\Gs-\Gd$ plane and find the profile of the pressure versus the density for various values of $\lambda$ and $\Gd$. The effects of $\lambda$ and $\Gd$ in the BCS-BEC crossover tend to compensate each other, allowing for a feasible region of densities where the crossover can occur with positive pressure. These results, although mainly qualitative, should serve as a preliminary step in the microscopic analysis required to determine the feasibility of the BCS-BEC crossover and its realization in more realistic models of dense QCD that can be relevant for applications to neutron stars.

arXiv commentSeveral changes throught the paper. New section addeed. Version published in NPA

References in corpus (73)

• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• The phase diagram of dense QCD
• Observation of Bose-Einstein Condensation of Molecules
• Creation of ultracold molecules from a Fermi gas of atoms
• BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
• TOPICAL REVIEW: General relativistic boson stars
• Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas
• Crystalline Color Superconductivity
• Production of Long-Lived Ultracold Li2 Molecules from a Fermi gas
• Pure Gas of Optically Trapped Molecules Created from Fermionic Atoms
• Radio-Frequency Spectroscopy of Ultracold Fermions
• Quarkyonic Chiral Spirals
• Phase Fluctuations and Pseudogap Phenomena
• The phase diagram of neutral quark matter: Self-consistent treatment of quark masses
• High Density Quark Matter under Stress
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Chiral symmetry and density wave in quark matter
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• On finite-density QCD at large Nc
• How many phases meet at the chiral critical point?
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Chromomagnetic instability in dense quark matter
• Magnetic control of the interaction in ultracold K-Rb mixtures
• Meissner masses in the gCFL phase of QCD
• Phase structure, collective modes, and the axial anomaly in dense QCD
• Chromomagnetic Instability and the LOFF state in a two flavor Color Superconductor
• Thermodynamics of two-colour QCD and the Nambu Jona-Lasinio model
• Screening masses in neutral two-flavor color superconductor
• 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 --
• The Crystallography of Three-Flavor Quark Matter
• Dense QCD : Overhauser or BCS Pairing ?
• A chiral crystal in cold QCD matter at intermediate densities?
• Photons in gapless color-flavor-locked quark matter
• Analytical and numerical evaluation of the Debye and Meissner masses in dense neutral three-flavor quark matter
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• BCS-BEC crossover in a relativistic superfluid and its significance to quark matter
• Multi-quark interactions with a globally stable vacuum
• Ginzburg-Landau approach to the three flavor LOFF phase of QCD
• Crystalline chiral condensates off the tricritical point in a generalized Ginzburg-Landau approach
• BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
• Magnetic Fields Boosted by Gluon Vortices in Color Superconductivity
• The Meissner Effect in a Two Flavor LOFF Color Superconductor
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• Relativistic BCS-BEC crossover in a boson-fermion model
• Chromomagnetic Instability and Induced Magnetic Field in Neutral Two-Flavor Color Superconductivity
• Dense QCD in a Finite Volume
• Chromomagnetic stability of the three flavor Larkin-Ovchinnikov-Fulde-Ferrell phase of QCD
• An Effective Theory for Baryons in the CFL Phase
• Relativistic BCS-BEC Crossover at Zero Temperature
• Bound diquarks and their Bose-Einstein condensation in strongly coupled quark matter
• Relativistic BCS-BEC Crossover at Finite Temperature and Its Application to Color Superconductivity
• BCS-BEC crossover in dense relativistic matter: Collective excitations
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Meson current in the CFL phase
• Role of two-flavor color superconductor pairing in a three-flavor Nambu--Jona-Lasinio model with axial anomaly
• Stable gapless superconductivity at strong coupling
• Baryon formation and dissociation in dense hadronic and quark matter
• Diquark Bose-Einstein Condensation and Nuclear Matter
• Spectral Continuity in Dense QCD
• Strongly interacting Fermi systems in 1/N expansion: From cold atoms to color superconductivity
• Paramagnetism in color superconductivity and compact stars
• BCS BEC crossover and phase structure of relativistic system: a variational approach
• BCS-BEC crossover in a relativistic boson-fermion model beyond mean field approximation
• Magnetic Tuning of the Relativistic BCS-BEC Crossover
• Bound States and Superconductivity in Dense Fermi Systems
• Relativistic BCS-BEC crossover of a two-species Fermi gas with number density asymmetry at zero temperature
• Equation of State in a Strongly Interacting Relativistic System
• Quark-Diquark Equations of State Models: The Role of Interactions
• Bose-Einstein condensation in dense quark matter

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