Treatment of Confinement in Three-Quark Calculations

Papp, Z.

doi:10.1007/s006010050106

Cited by 7 publications

(10 citation statements)

References 4 publications

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“…[105], enabling the first few energy levels of non-strange baryons for a linearly rising potential to be determined, was helped by the assumed link between the quark-antiquark potential in mesons and the quark-quark potential appearing in baryons. Early potential models paved the way to more sophisticated analyses by the introduction of converged variational methods [115][116][117] and the use of Faddeev equations [19,[117][118][119]. Connections to the heavy quark sector of QCD have been established on the one hand via heavy quark effective theory and nonrelativistic QCD, see e.g.…”

Section: The Quark Modelmentioning

confidence: 99%

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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Section: The Quark Modelmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

416

530

View full text Add to dashboard Cite

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“…In the solution of the Faddeev equations below we take a Gaussian form for the auxiliary potential as used already in Ref. [6].…”

Section: Treatment Of Confinement In the Faddeev Approachmentioning

confidence: 99%

“…In the attempt to make the Faddeev approach directly amenable to any three-body problem with confining interactions, be it in a nonrelativistic or semirelativistic framework, one of us has previously suggested a different set-up of the Faddeev formalism [6]. The proposed method exploits the asymptotic filtering property of the Faddeev scheme by adopting a different splitting of the full three-body Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Faddeev approach to confined three-quark problems

2000

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We propose a method that allows for the efficient solution of the three-body Faddeev equations in the presence of infinitely rising confinement interactions. Such a method is useful in calculations of nonrelativistic and especially semirelativistic constituent quark models. The convergence of the partial wave series is accelerated and possible spurious contributions in the Faddeev components are avoided. We demonstrate how the method works with the example of the Goldstone-boson-exchange chiral quark model for baryons.Comment: 6 page

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“…In order that we can apply the Faddeev procedure along the method presented in Refs. [6][7][8] we split the quarkquark potential into confining and non-confining parts…”

Section: Faddeev Approach To Three-quark Problemsmentioning

confidence: 99%

“…In Refs. [6][7][8] we showed that in order to avoid the appearance of spurious solutions the splitting of the quark-quark potential to v (c) and v (s) should be performed such that in the region of physical interest G (c) do not have poles. To ensure this, we add a repulsive Gaussian term to V conf , which we subtract…”

Section: Goldstone Boson Exchange Model For Baryonsmentioning

confidence: 99%