Octet and Decuplet masses: a covariant three-body Faddeev calculation

Abstract

We determine the baryon octet and decuplet masses as well as their wave functions in a covariant three-body Faddeev approach. We work in an approximation where irreducible three-body forces are neglected. In the two-body interactions we take into account a well explored rainbow-ladder kernel as well as flavor dependent meson-exchange terms motivated from the underlying quark-gluon interaction. Without flavor dependent forces we find agreement with the experimental spectrum on the 5-10 percent level. Including the flavor dependent terms on an exploratory level delivers a Sigma/Lambda splitting with the correct sign although the magnitude is still too small.

arXiv comment11 pages, 2 figures

References in corpus (37)

• The Spectrum of the Nucleons and the Strange Hyperons and Chiral Dynamics
• pi- and K-meson Bethe-Salpeter Amplitudes
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Baryon spectroscopy
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Unified description of light- and strange-baryon spectra
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Sketching the Bethe-Salpeter kernel
• Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
• Dressed-quark anomalous magnetic moments
• The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
• Isoscalar meson spectroscopy from lattice QCD
• Nucleon mass from a covariant three-quark Faddeev equation
• Light Hadron Masses from Lattice QCD
• Aspects and consequences of a dressed-quark-gluon vertex
• QCD with Two Light Dynamical Chirally Improved Quarks: Baryons
• Probing the gluon self-interaction in light mesons
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
• Survey of J=0,1 mesons in a Bethe-Salpeter approach
• Beyond the rainbow: effects from pion back-coupling
• Hadronic unquenching effects in the quark propagator
• Bottomonium in a Bethe-Salpeter-equation study
• On Gribov's supercriticality picture of quark confinement
• Pion cloud effects on baryon masses
• Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation
• Delta and Omega masses in a three-quark covariant Faddeev approach
• Bethe-Salpeter Meson Masses Beyond Ladder Approximation
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• Beyond Rainbow-Ladder in bound state equations
• Delta and Omega electromagnetic form factors in a three-body covariant Bethe-Salpeter approach
• QCD with two light dynamical chirally improved quarks: Mesons
• Unquenching the Quark-Antiquark Green's Function
• Covariant solution of the three-quark problem in quantum field theory: the nucleon
• Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations

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• Spectroscopy of Light Baryons: $\Delta$ Resonances
• Electromagnetic transition form factors of baryons in the space-like momentum region
• Spectroscopic properties of $\Delta$ Baryons
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• Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
• Theory introduction to baryon spectroscopy
• Progress in the calculation of nucleon transition form factors
• Poincare covariant pseudoscalar and scalar meson spectroscopy in Wigner-Weyl phase
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