Baryons in the Nambu Jona-Lasinio models

Abstract

The octet and decuplet SU(3)f baryons are studied with the Polyakov, Nambu and Jona-Lasinio model, in a diquark-quark approach, via the resolution of the Bethe-Salpeter equation. This work includes estimations of their masses according to the temperature and the baryonic density, with or without the isospin symmetry. Several improvements of this modeling are proposed and tested: the treatment of the baryons unstable regime, the inclusion of the diquark momentum dependence, the possibility to model baryons without the static approximation, the description of the octet baryons via scalar and axial flavor components, the use of a Nambu and Jona-Lasinio diquark propagator instead of a structureless one. The effects of the color superconductivity on the nucleon mass are also investigated. Certain of the mentioned improvements can be applied simultaneously. The advantages and limitations of each of them are underlined.

arXiv comment59 pages, 41 figures, regular article

References in corpus (57)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• The Physics of Neutron Stars
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• The phase diagram of dense QCD
• Chiral effective model with the Polyakov loop
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• The phase diagram of neutral quark matter: Self-consistent treatment of quark masses
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Two lectures on color superconductivity
• The Stability of Nuclear Matter in the Nambu-Jona-Lasinio Model
• Neutron stars and the transition to color-superconducting quark matter
• Magnetic fields within color superconducting neutron star cores
• Chiral Lagrangians and Nambu-Jona-Lasinio like models
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Lattice QCD at non-zero temperature
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Entanglement between deconfinement transition and chiral symmetry restoration
• Effective masses of diquarks
• Mixed phases of color superconducting quark matter
• Color Superconductivity at Moderate Baryon Density
• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• Nucleon Properties in the Covariant Quark-Diquark Model
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• Multi-quark interactions with a globally stable vacuum
• Gluon Quasiparticles and the Polyakov Loop
• Lattice QCD at finite temperature and density
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Delta baryons and diquark formation in the cores of neutron stars
• Understanding the nucleon as a Borromean bound-state
• Color superconductivity vs. pseudoscalar condensation in a three-flavor NJL model
• Faddeev approach to the octet and decuplet baryons
• Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter
• Equation of state in the PNJL model with the entanglement interaction
• $\pi \pi$ scattering in the $\rho$-meson channel at finite temperature
• One Loop Integrals at Finite Temperature and Density
• Flavor dependence of baryon melting temperature in effective models of QCD
• Nucleons or diquarks? Competition between clustering and color superconductivity in quark matter
• Baryon formation and dissociation in dense hadronic and quark matter
• SU(3)-flavour breaking in octet baryon masses and axial couplings
• Selected Experimental Results from Heavy Ion Collisions at LHC
• Exploring the effects of Delta Baryons in magnetars
• Temperature and Strong Magnetic Field Effects in Dense Matter
• Faddeev equation for heavy baryons in the quark-diquark picture
• Pure spin-3/2 propagator for use in particle and nuclear physics
• Covariant propagator of the Rarita-Schwinger field in the nuclear medium
• Extended NJL model for baryonic matter and quark matter
• Highlights from BNL-RHIC 2011-2013
• Strange baryons in a hot and dense medium within the Nambu-Jona-Lasinio model
• A nuclear matter description based on quark structure of the nucleon and pion exchange
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• NJL model approach to diquarks and baryons in quark matter