Baryons in and beyond the quark-diquark model

Eichmann, Gernot; Alkofer, Reinhard; Fischer, Christian; Krassnigg, A.; Nicmorus, D.; Armstrong, David; Burkert, Volker; Chen, Jianping; Detmold, Will; Dudek, Jo; Melnitchouk, Wally; Richards, David

doi:10.1063/1.3647216

Cited by 10 publications

(15 citation statements)

References 19 publications

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“…9, the quark-mass dependence of the isovector and isoscalar anomalous magnetic moments v ¼ p À n and s ¼ p þ n , expressed in static nuclear magnetons, is compared to recent lattice data. A very similar current-mass dependence emerges in the quark-diquark model [50]; however, compared to those results, the gluon-interaction kernel in the explicit three-quark framework leads to an overall reduction of 10-15% for the magnetic moments.…”

Section: Resultssupporting

confidence: 63%

“…[48,49], the quark-diquark model was extended insofar as the dynamics of the quarks and diquarks were determined from their quark and gluon constituents, and corresponding results for nucleon and Á-baryon form factors were reported in Refs. [27,50,51]. These studies provide valuable insight into the correlations that take place amongst the nucleon's constituents when probed by a photon, and several characteristic features revealed in experiments are readily reproduced.…”

Section: Introductionmentioning

confidence: 89%

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Nucleon electromagnetic form factors from the covariant Faddeev equation

2011

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We compute the electromagnetic form factors of the nucleon in the Poincare-covariant Faddeev framework based on the Dyson-Schwinger equations of QCD. The general expression for a baryon's electromagnetic current in terms of three interacting dressed quarks is derived. Upon employing a rainbow-ladder gluon-exchange kernel for the quark-quark interaction, the nucleon's Faddeev amplitude and electromagnetic form factors are computed without any further truncations or model assumptions. The form factor results show clear evidence of missing pion-cloud effects below a photon momentum transfer of ~2 GeV^2 and in the chiral region whereas they agree well with experimental data at higher photon momenta. Thus, the approach reflects the properties of the nucleon's quark core.Comment: 23 pages, 10 figures, 2 table

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Section: Resultssupporting

confidence: 63%

Section: Introductionmentioning

confidence: 89%

Nucleon electromagnetic form factors from the covariant Faddeev equation

2011

Self Cite

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“…In that way one arrives again at an essentially parameter-free calculation for baryon form factors, now within the quark-diquark approach, where all building blocks react consistently to a change of the underlying quark-gluon interaction. So far the approach has been applied to the calculation of nucleon and ∆ electromagnetic form factors [305,495,496], the γN → ∆ transition form factors [334] and the N → ∆π transition [497]. It turns out that also here the overall results are similar to the three-body calculations (where available) although the details may differ.…”

Section: B Kinematics Andsupporting

confidence: 64%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

416

530

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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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“…Refs. [50,51,52,53], to the PQM model remains for future work. For work on including diquarks in two-colour QCD, see e.g.…”

Section: Phase Structure At Non-zero Quark Chemical Potentialsmentioning

confidence: 99%

Phase diagram and nucleation in the Polyakov-loop-extended quark-meson truncation of QCD with the unquenched Polyakov-loop potential

Stiele

Schaffner-Bielich

2016

Phys. Rev. D

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Abstract. The unquenching of the Polyakov-loop potential showed to be an important improvement for the description of the phase structure and thermodynamics of strongly-interacting matter at zero quark chemical potentials with Polyakov-loopextended chiral models. This work constitutes the first application of the quark backreaction on the Polyakov-loop potential at non-zero density. The observation is that it links the chiral and deconfinement phase transitions also at small temperatures and large quark chemical potentials. The build-up of the surface tension in the Polyakov-loop-extended Quark-Meson model is explored by investigating the two and 2+1-flavour Quark-Meson model and analysing the impact of the Polyakov-loop extension. In general, the order of magnitude of the surface tension is given by the chiral phase transition. The coupling of the chiral and deconfinement transitions with the unquenched Polyakov-loop potential leads to the fact that the Polyakov loop contributes at all temperatures.

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Baryons in and beyond the quark-diquark model

Cited by 10 publications

References 19 publications

Nucleon electromagnetic form factors from the covariant Faddeev equation

Nucleon electromagnetic form factors from the covariant Faddeev equation

Baryons as relativistic three-quark bound states

Phase diagram and nucleation in the Polyakov-loop-extended quark-meson truncation of QCD with the unquenched Polyakov-loop potential

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