Baryons as non-topological chiral solitons

Christov, C. I.; Blotz, A.; Kim, H. C.; Pobylitsa, P. V.; Watabe, T.; Meißner, Thomas; Arriola, E. Ruiz; Goeke, K.

doi:10.1016/0146-6410(96)00057-9

Cited by 323 publications

(242 citation statements)

References 167 publications

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“…Several models have been constructed in this spirit to implement the coupling of quarks to the pion and applied to nucleon form factors, from the cloudy bag model [550][551][552], the chiral quark models of Refs. [553][554][555][556], the chiral quark soliton model [348,[557][558][559], and the light-front quark-diquark model of Ref. [560].…”

Section: B Kinematics Andmentioning

confidence: 99%

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Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

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: B Kinematics Andmentioning

confidence: 99%

“…We will not touch upon this topic here since there are excellent specialised reviews available, see e.g. [347][348][349].…”

Section: Approximations and Truncationsmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

530

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“…At large N c the nucleon is heavy and can be viewed as N c "valence" quarks bound by a self-consistent pion field (the "soliton") [Dia88]. A successful description of static properties of baryons, such as mass splittings, axial constants, magnetic moments, FFs, has been achieved (typically at the 30 % level or better, see [Chr96] for a review of early results). After reproducing masses and decay constants in the mesonic sector, the only free parameter left to be fixed in the baryonic sector is the constituent quark mass.…”

Section: Pion Cloud Modelsmentioning

confidence: 99%

Nucleon electromagnetic form factors

Perdrisat

Punjabi

Vanderhaeghen

2007

Progress in Particle and Nuclear Physics

474

583

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There has been much activity in the measurement of the elastic electromagnetic proton and neutron form factors in the last decade, and the quality of the data has been greatly improved by performing double polarization experiments, in comparison with previous unpolarized data. Here we review the experimental data base in view of the new results for the proton, and neutron, obtained at MIT-Bates, MAMI, and JLab. The rapid evolution of phenomenological models triggered by these high-precision experiments will be discussed, including the recent progress in the determination of the valence quark generalized parton distributions of the nucleon, as well as the steady rate of improvements made in the lattice QCD calculations.

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“…The NJL model possesses solitonic solutions in the B=1 sector which can be viewed as a mean-field description of the ground-state baryons. On this basis the phenomenology of ground-state baryons could be reproduced quite well [7,8].…”

Section: Introductionmentioning

confidence: 79%

“…Examples are the Skyrme model [11,12] and the NJL soliton model [7,8] which are based on a hedgehog symmetry.…”

Section: Introductionmentioning

confidence: 99%

RPA approach to the excitations of the nucleon Part I: Theory

Hardt¹,

Geiss²,

Lenske³

et al. 1997

Nuclear Physics A

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In this paper we develop a theoretical framework which allows us to study excitations of the nucleon. Assuming an effective two-body interaction as a model for low-energy QCD, we derive a relativistic TDHF equation for a many-body system of quarks. To render the Dirac-sea contribution to the mean field finite, we introduce a symmetry conserving regularization scheme. In the small amplitude limit we derive an RPA equation. The structure of the ph interaction and modifications due to the regularization scheme are discussed. We give a prescription to obtain a nucleon state with good angular momentum (J) and isospin (T ) quantum numbers on mean-field level. To study excitations, we develop a tensor-RPA approach, which is an extension of the conventional RPA techniques to systems with a nonscalar ground state. This allows us to construct excited states with good (J/T ) quantum numbers. We discuss a method to reduce the overcomplete ph-space and compute the tensor-RPA interaction matrix elements. Finally we extend our scheme to include ( 3 2 + , 32 )-states.

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Baryons as non-topological chiral solitons

Cited by 323 publications

References 167 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Nucleon electromagnetic form factors

RPA approach to the excitations of the nucleon Part I: Theory

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