Delta-baryon mass in a covariant Faddeev approach

Abstract

We present a calculation of the three-quark core contribution to the mass of the Delta-baryon in a Poincare-covariant Faddeev framework. A consistent setup for the dressed-quark propagator, the quark-quark and quark-diquark interactions is used, where all the ingredients are solutions of their respective Dyson-Schwinger or Bethe-Salpeter equations in rainbow-ladder truncation. We discuss the evolution of the Delta mass with the current-quark mass and compare to the previously obtained mass of the nucleon.

arXiv comment8 pages, 2 figures, 1 table

References in corpus (71)

• Chiral Dynamics in Nucleons and Nuclei
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• pi- and K-meson Bethe-Salpeter Amplitudes
• Infrared Properties of QCD from Dyson-Schwinger equations
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Pion mass and decay constant
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Physical Nucleon Properties from Lattice QCD
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Aspects and consequences of a dressed-quark-gluon vertex
• Pseudoscalar Meson Radial Excitations
• Aspects of Hadron Physics
• Vector meson form factors and their quark-mass dependence
• The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory
• Mesons in a Poincare Covariant Bethe-Salpeter Approach
• Systematic 1/M Expansion for Spin 3/2 Particles
• On unifying the description of meson and baryon properties
• Chiral Analysis of Quenched Baryon Masses
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Determination of the E2/M1 Ratio in the γN \to Δ(1232) Transition from a Simultaneous Measurement of p(\vecγ,p)π^0 and p(\vecγ,π^+)n
• Electromagnetic Properties of the Delta(1232)
• Convergence of chiral effective field theory
• Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
• Electromagnetic properties of ground and excited state pseudoscalar mesons
• Effective masses of diquarks
• Investigation of the conjectured nucleon deformation at low momentum transfer
• Perspective on rainbow-ladder truncation
• QCD modeling of hadron physics
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Measurement of the recoil polarization in the p (\vec e, e' \vec p) pi^0 reaction at the Δ(1232) resonance
• Beyond the rainbow: effects from pion back-coupling
• Hadronic unquenching effects in the quark propagator
• Electromagnetic Form Factors of the Nucleon in an Improved Quark Model
• Diquark confinement in an extended NJL model
• Nucleon mass and pion loops
• Nucleon Properties in the Covariant Quark-Diquark Model
• Electromagnetic Nucleon-to-Delta Transition in Chiral Effective-Field Theory
• Quark-Model Identification of Baryon Ground and Resonant States
• On Nucleon Electromagnetic Form Factors
• Delta-baryon electromagnetic form factors in lattice QCD
• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• Lowest Q^2 Measurement of the gamma*p -> Delta Reaction: Probing the Pionic Contribution
• Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation
• Chiral and Continuum Extrapolation of Partially-Quenched Lattice Results
• Spin-3/2 Nucleon and Delta Baryons in Lattice QCD
• The nucleon and Delta-resonance masses in relativistic chiral effective-field theory
• Aspects of the confinement mechanism in Coulomb-gauge QCD
• A covariant view on the nucleons' quark core
• Meson-loop contributions to the rho-omega mass splitting & rho charge radius
• Hadron Physics and the Dyson--Schwinger Equations of QCD
• Measurement of the LT-asymmetry in π^0 electroproduction at the energy of the Δ(1232) resonance
• Current Conservation in the Covariant Quark-Diquark Model of the Nucleon
• Meson loop effects in the NJL model at zero and non-zero temperature
• Radiative Decays of Hyperons in the Skyrme Model: E2/M1 Transitions
• On Nucleon Electromagnetic Form Factors: A Pre'cis
• Dynamically induced scalar quark confinement
• Covariant calculation of mesonic baryon decays
• Structure of meson-baryon interaction vertices
• Electro-excitation amplitudes of the Delta-isobar in the Skyrme model
• Semileptonic decays of baryons in a relativistic quark model
• Nucleon form factors from a covariant quark core: limits in their description
• Current quark mass dependence of nucleon magnetic moments and radii
• Relativistic Three-Quark Bound States in Separable Two-Quark Approximation
• Form Factors and Dyson-Schwinger Equations
• Nucleon mass and pion loops: Renormalization
• Baryon resonances and strong decays

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• Quark spin and orbital angular momentum from proton GPDs
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• Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
• Excited mesons in a Bethe-Salpeter approach
• Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations
• Charming quasi-exotic open-flavor mesons
• Space-like Electromagnetic Form Factors of Lambda- and Sigma-Baryons from Quark-Diquark Faddeev Equations
• Hadron properties from QCD bound-state equations: A status report
• A comprehensive approach to the physics of mesons
• Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation
• S- and D-wave vector charmonia
• Meson and nucleon properties from Dyson-Schwinger QCD
• Baryonic form factors of light pseudoscalar mesons