Baryon and meson masses in the Nambu--Jona-Lasinio model: A Bayesian approach

Abstract

We investigate the capabilities of the Nambu--Jona-Lasinio model to describe and reproduce fundamental vacuum properties of Quantum Chromodynamics, notably the hadronic spectrum. Mesons are described as quark-antiquark bound states at the level of the random phase approximation of the Bethe-Salpeter equation, while baryons are characterized as quark-diquark bound states within the static approximation of the Faddeev equation. Within a Bayesian framework, we constrain the model by phenomenologically known quantities and study the implications on its parameters and predictions in vacuum, as well as the correlations between the two. We find that within our framework, the vacuum masses of mesons and baryons can be reasonably well reproduced. Scalar diquarks need to be significantly bound in order to correctly reproduce the masses of the baryon octet, therefore enforcing values of the scalar diquark coupling larger than what is suggested by the canonical Fierz values. These findings could have important implications on the phenomenology of strongly-interacting matter at high temperature and density as well as of compact star physics.

arXiv comment18 pages, 8 figures

References in corpus (39)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• FLAG Review 2019
• Ab-initio Determination of Light Hadron Masses
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Baryons as relativistic three-quark bound states
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Domain wall QCD with physical quark masses
• Composition and stability of hybrid stars with hyperons and quark color-superconductivity
• Toward the excited isoscalar meson spectrum from lattice QCD
• Light Hadron Masses from Lattice QCD
• Implications of the measurement of pulsars with two solar masses for quark matter in compact stars and HIC. A NJL model case study
• Deconfinement in dense 2-color QCD
• Light baryons below and above the deconfinement transition: medium effects and parity doubling
• Direct extraction of the chiral quark condensate and bounds on the light quark masses
• New class of hybrid EoS and Bayesian M-R data analysis
• Meson Screening Masses in (2+1)-Flavor QCD
• The QCD Chiral Condensate from the Lattice
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• Hadrons and Nuclei
• Quark-nuclear hybrid equation of state for neutron stars under modern observational constraints
• Thermodynamics of the 3-flavor NJL model : chiral symmetry breaking and color superconductivity
• Faddeev approach to the octet and decuplet baryons
• The $\rho$-resonance with physical pion mass from $N_f=2$ lattice QCD
• The phases of isospin asymmetric matter in the two flavor NJL model
• Flavor dependence of baryon melting temperature in effective models of QCD
• Mesons and diquarks in the color neutral 2SC phase of dense cold quark matter
• Nucleons or diquarks? Competition between clustering and color superconductivity in quark matter
• Dressed Quark Mass Dependence of Pion and Kaon Form Factors
• Baryon formation and dissociation in dense hadronic and quark matter
• A Bayesian analysis of the properties of hybrid stars with the NJL model
• Long distance expansion for the NJL model with SU(3) and U_A(1) breaking
• Constraining free parameters of a color superconducting non-local Nambu-Jona-Lasinio model using Bayesian analysis of neutron stars mass and radius measurements
• Thermal properties of $\pi$ and $\rho$ meson
• Strange baryons in a hot and dense medium within the Nambu-Jona-Lasinio model
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach