A covariant view on the nucleons’ quark core

Eichmann, Gernot; Krassnigg, A.; Schwinzerl, Martin; Alkofer, Reinhard

doi:10.1016/j.aop.2008.02.007

Cited by 59 publications

(92 citation statements)

References 127 publications

(320 reference statements)

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“…[52,305,360,361] an effort was made to calculate these ingredients systematically from the quark level, employing the same rainbow-ladder quark-gluon interaction as above. This is visualized in the left panel of Fig.…”

Section: B Kinematics Andmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

406

529

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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Section: B Kinematics Andmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

406

529

View full text Add to dashboard Cite

show abstract

“…The covariant amplitudes are then used for the subsequent calculation of form factors or other transiton amplitudes [66][67][68][69][70][71][72][73][74][75][76][77]. For our discussion herein, we only sketch the essential aspects related to the homogenous quark-bilinear BSE.…”

Section: Essentials Of the Bethe-salpeter Equationmentioning

confidence: 99%

Charming quasi-exotic open-flavor mesons

Hilger

Krassnigg

2017

EPJ Web Conf.

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“…The RL truncated DSEs have been widely used with the aim to reproduce hadron observables: masses and electromagnetic properties of mesons and baryons, e.g. [5,6,7,8,9,10]. However, evidence has been provided that important corrections to RL truncation are mesonic effects in the quark and quark-gluon-vertex DSEs, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Faddeev equations: a view of baryon properties

Nicmorus¹,

Eichmann²,

Krassnigg³

et al. 2012

Proceedings of VIIIth Conference Quark Confinement and the Hadron Spectrum — PoS(ConfinementVIII)

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We present a calculation of the three-quark core contribution to the mass of the ∆-resonance in a Poincaré-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 ∆ mass with the current-quark mass and compare to the previously obtained mass of the nucleon.8th Conference Quark Confinement and the Hadron Spectrum

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A covariant view on the nucleons’ quark core

Cited by 59 publications

References 127 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Charming quasi-exotic open-flavor mesons

Faddeev equations: a view of baryon properties

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