Progress in the Calculation of Nucleon Transition form Factors

Eichmann, Gernot

doi:10.1007/s00601-016-1134-9

Cited by 15 publications

(18 citation statements)

References 21 publications

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“…Scalar and axialvector diquarks are the lightest ones, hence they are most important for describing the positive-parity nucleon and ∆ baryons. The typical mass scales obtained with rainbow-ladder calculations are about 800 MeV for scalar diquarks, 1 GeV for axialvector diquarks, followed by pseudoscalar and vector diquarks [52,332]. Thus, the mass pattern for mesons is repeated in the diquark spectrum, which also provides an underlying link between meson and baryon properties.…”

Section: Tetraquark Nomentioning

confidence: 94%

“…These are the transverse amplitudes M ± and E ± and longitudinal (or scalar) amplitudes L ± = E q S ± /|q|, which are related to photons of the magnetic, electric and Coulomb type, respectively; is the angular momentum of the [29], together with a simple parametrization including a vector-meson bump (adapted from Ref. [52]). The helicity amplitudes carry units of 10 −3 GeV −1/2 .…”

Section: (24)mentioning

confidence: 99%

“…An analysis of the nucleon and ∆ excitation spectrum based on its diquark content, including also pseudoscalar and vector diquarks, can be found in Ref. [52]. Compared to their three-body analogues, the quark-diquark amplitudes Φ µ... (p, P ) for the nucleon and ∆ depend on a manageable number of tensor basis elements, namely eight for the nucleon (two associated with scalar and six with axialvector diquarks) and also eight for the ∆, coming from axialvector diquarks only [302].…”

Section: Tetraquark Nomentioning

confidence: 99%

“…As discussed in Sec. 3.4, the rainbow-ladder interaction produces diquark poles in the quark-quark scattering matrix, which in turn allows one to solve Bethe-Salpeter equations for the diquarks and determine their masses and amplitudes in analogy with mesons [52,332]. The necessary steps are outlined in Fig.…”

Section: Approximations and Truncationsmentioning

confidence: 99%

“…Although the underlying diquark properties can provide insight into the structure of baryons, there are also several good reasons to forgo the quark-diquark approximation. Baryons with negative parity require more than scalar and axialvector diquark channels [52], and the sheer effort to put the quark-diquark model on a solid basis in QCD can become quite large as one can infer from Figs. 3.12 and 4.8.…”

Section: Approximations and Truncationsmentioning

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

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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: Tetraquark Nomentioning

confidence: 94%

Section: (24)mentioning

confidence: 99%

Section: Tetraquark Nomentioning

confidence: 99%

Section: Approximations and Truncationsmentioning

confidence: 99%

Section: Approximations and Truncationsmentioning

confidence: 99%

See 3 more Smart Citations

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

Self Cite

416

530

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Hadron Spectroscopy and Structure in the Dyson-Schwinger Approach

Eichmann

2020

Recent Progress in Few-Body Physics

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Baryons and the Borromeo

Roberts

Segovia

2016

Few-Body Syst

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The kernels in the tangible matter of our everyday experience are composed of light quarks. At least, they are light classically; but they don't remain light. Dynamical effects within the Standard Model of Particle Physics change them in remarkable ways, so that in some configurations they appear nearly massless, but in others possess masses on the scale of light nuclei. Modern experiment and theory are exposing the mechanisms responsible for these remarkable transformations. The rewards are great if we can combine the emerging sketches into an accurate picture of confinement, which is such a singular feature of the Standard Model; and looming larger amongst the emerging ideas is a perspective that leads to a Borromean picture of the proton and its excited states.Comment: 11 pages, 5 figures. Contribution to the proceedings of the ECT* Workshop: "Nucleon Resonances: From Photoproduction to High Photon Virtualities", 12-16 October 2015, based upon the ECT* Colloquium delivered during the meeting. arXiv admin note: substantial text overlap with arXiv:1509.08952, arXiv:1509.0292

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Progress in the Calculation of Nucleon Transition form Factors

Cited by 15 publications

References 21 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Hadron Spectroscopy and Structure in the Dyson-Schwinger Approach

Baryons and the Borromeo

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