Hyperon elastic electromagnetic form factors in the space-like momentum region

Sanchis-Alepuz, Hèlios; Fischer, Christian

doi:10.1140/epja/i2016-16034-1

Cited by 22 publications

(28 citation statements)

References 86 publications

(150 reference statements)

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“…The lattice results were obtained at unphysical pion masses and extrapolated to the physical point using partially quenched chiral perturbation theory. We show these results for the Σ and Ξ isomultiplets and compare with the corresponding DSE results from [489] as well as with the experimental values for the magnetic moments [9]. In interpreting the differences between these results it proves useful to make use of the works cited above [635,636] on the role played (such as sign of the effect, its magnitude, etc.)…”

Section: Hyperon Form Factorsmentioning

confidence: 62%

“…Keeping in mind that the extraction of G E2 and G M 3 for very low Q 2 is numerically difficult (as explained in [489]), the DSE calculation predicts a prolate shape (positive G E 2 ) for the charge distribution in Σ * + and an oblate one (negative sign) for the Σ * − . In the case of the Σ * 0 one obtains a zero crossing at Q 2 ∼ 0.7 GeV 2 , the charge distribution changing from an oblate to a prolate shape as the electromagnetic probe increases in energy.…”

Section: Hyperon Form Factorsmentioning

confidence: 99%

“…Since the qq interaction is entirely fixed from the meson sector, one is equipped with a parameter-free calculation for baryons because no further approximations or assumptions have to be made. One can say that rainbow-ladder has performed relatively well for the form factors calculated so far, including the electromagnetic form factors of the nucleon [306] and ∆ [488] as well as the remaining octet and decuplet baryons [489], the N → ∆γ transition [490], and the nucleon's axial and pseudoscalar form factors [491] which we will review in the following sections. This owes to several features.…”

Section: B Kinematics Andmentioning

confidence: 99%

“…A calculation of the elastic electromagnetic form factors for the octet and decuplet form factors using DSEs has been presented in [489]. From lattice QCD, very precise data for the electromagnetic form factors of octet baryons up to Q 2 = 1.3 GeV 2 have been recently published [461,462].…”

Section: Hyperon Form Factorsmentioning

confidence: 99%

“…4.16 as well as from the corresponding results for the nucleon and ∆ presented earlier, it seems fair to say that even a simplistic truncation of the DSE system, namely the rainbow-ladder truncation, already provides an excellent description of (ground-state) baryon structure. With this idea in mind, we tackle now the interpretation of the decuplet form factor results from [489], shown in Fig. 4.17.…”

Section: Hyperon Form Factorsmentioning

confidence: 99%

See 4 more Smart Citations

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

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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: Hyperon Form Factorsmentioning

confidence: 62%

Section: Hyperon Form Factorsmentioning

confidence: 99%

Section: B Kinematics Andmentioning

confidence: 99%

Section: Hyperon Form Factorsmentioning

confidence: 99%

Section: Hyperon Form Factorsmentioning

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

418

530

View full text Add to dashboard Cite

show abstract

Hadron Spectroscopy and Structure in the Dyson-Schwinger Approach

Eichmann

2020

Recent Progress in Few-Body Physics

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Spectrum of Light- and Heavy-Baryons

2019

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A symmetry-preserving truncation of the strong-interaction bound-state equations is used to calculate the spectrum of ground-state J = 1/2 + , 3/2 + (qq q )-baryons, where q, q , q ∈ {u, d, s, c, b}, their first positive-parity excitations and parity partners. Using two parameters, a description of the known spectrum of 39 such states is obtained, with a mean-absolute-relativedifference between calculation and experiment of 3.6(2.7)%. From this foundation, the framework is subsequently used to predict the masses of 90 states not yet seen empirically.Keywords Poincaré-covariant Faddeev equation · baryon spectrum · light and heavy quarks · Dyson-Schwinger equations · emergence of mass 1 IntroductionThe Faddeev equation was introduced almost sixty years ago [1]. It treats the quantum mechanical problem of three-bodies interacting via pairwise potentials by reducing it to a sum of three terms, each of which describes a solvable scattering problem in distinct two-body subsystems. The Faddeev formulation of that three-body problem has a unique solution.An analogous approach to the three-valence-quark (baryon) bound-state problem in quantum chromodynamics (QCD) was explained in Refs. [2][3][4][5][6]. In this case, owing to dynamical mass generation, expressed most simply in QCD's one-body Schwinger functions in the gauge [7][8][9][10][11][12][13][14][15][16][17][18] and matter sectors [19][20][21][22][23][24], and the importance of symmetries [25][26][27], one requires a Poincaré-covariant quantum field theory generalisation of the Faddeev equation. Like the Bethe-Salpeter equation for mesons, it is natural to consider such a Faddeev equation as one of the tower of QCD's Dyson-Schwinger equations (DSEs) [28], which are being used to develop a systematic, symmetry-preserving, continuum approach to the strong-interaction bound-state problem [29][30][31][32][33][34].The Poincaré-covariant Faddeev equation for baryons is typically treated in a quark-diquark approximation, where the diquark correlations are nonpointlike and dynamical [35]. This amounts to a simplified treatment of the scattering problem in the two-body subchannels (as explained, e.g. in Ref. [36], Sec. II.A.2), which is founded on an observation that the same interaction which describes

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Hyperon elastic electromagnetic form factors in the space-like momentum region

Cited by 22 publications

References 86 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Hadron Spectroscopy and Structure in the Dyson-Schwinger Approach

Spectrum of Light- and Heavy-Baryons

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