Effective Masses of Diquarks

Maris, Pieter

doi:10.1007/s00601-002-0111-7

Cited by 128 publications

(167 citation statements)

References 30 publications

(73 reference statements)

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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%

“…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%

“…diquarks on the other hand. Whereas pseudoscalar and vector mesons are well described in rainbow-ladder, scalar and axialvector mesons come out too light [308,332] -which can be remedied with more sophisticated truncations [209,244]. Thus the diquarks will inherit this behaviour: the scalar and axialvector diquarks which are mainly responsible for positive-parity baryons are reliable, whereas the pseudoscalar and vector diquarks will produce negativeparity baryons that are also too light and acquire repulsive shifts beyond rainbow-ladder.…”

Section: Approximations and Truncationsmentioning

confidence: 99%

See 2 more Smart Citations

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: Tetraquark Nomentioning

confidence: 94%

Section: Approximations and Truncationsmentioning

confidence: 99%

Section: Approximations and Truncationsmentioning

confidence: 99%

See 1 more Smart Citation

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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“…The dominant correlations for ground state octet and decuplet baryons are 0 + and 1 + diquarks because, e.g. : the associated mass-scales are smaller than the baryons' masses [66,72], namely (in GeV) -…”

Section: Faddeev Equationmentioning

confidence: 99%

Hadron properties and Dyson–Schwinger equations

Roberts

2008

Progress in Particle and Nuclear Physics

179

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An overview of the theory and phenomenology of hadrons and QCD is provided from a DysonSchwinger equation viewpoint. Following a discussion of the definition and realisation of light-quark confinement, the nonperturbative nature of the running mass in QCD and inferences from the gap equation relating to the radius of convergence for expansions of observables in the current-quark mass are described. Some exact results for pseudoscalar mesons are also highlighted, with details relating to the U A (1) problem, and calculated masses of the lightest J = 0, 1 states are discussed. Studies of nucleon properties are recapitulated upon and illustrated: through a comparison of the ln-weighted ratios of Pauli and Dirac form factors for the neutron and proton; and a perspective on the contribution of quark orbital angular momentum to the spin of a nucleon at rest. Comments on prospects for the future of the study of quarks in hadrons and nuclei round out the contribution.

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“…[18,19,20,21]. It has become apparent that the dominant correlations for ground state octet and decuplet baryons are scalar and axial-vector diquarks, primarily because the associated mass-scales are smaller than the masses of these baryons [22,23] and the positive parity of the correlations matches that of the baryons. Both scalar and axial-vector diquarks provide attraction in the Faddeev equation; e.g., a scalar diquark alone provides for a bound octet baryon and including axial-vector correlations reduces that baryon's mass.…”

Section: Introductionmentioning

confidence: 99%

On Nucleon Electromagnetic Form Factors

et al. 2005

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Abstract. A Poincaré covariant Faddeev equation, which describes baryons as composites of confined-quarks and -nonpointlike-diquarks, is solved to obtain masses and Faddeev amplitudes for the nucleon and ∆. The amplitudes are a component of a nucleon-photon vertex that automatically fulfills the Ward-Takahashi identity for on-shell nucleons. These elements are sufficient for the calculation of a quark core contribution to the nucleons' electromagnetic form factors. An accurate description of the static properties is not possible with the core alone but the error is uniformly reduced by the incorporation of meson-loop contributions. Such contributions to form factors are noticeable for Q 2 2 GeV 2 but vanish with increasing momentum transfer. Hence, larger Q 2 experiments probe the quark core. The calculated behaviour of] GeV 2 agrees with that inferred from polarisation transfer data. Moreover, Q 2 F 2 (Q 2 )/F 1 (Q 2 ) ≈ constant on this domain. These outcomes result from correlations in the proton's amplitude. January 25, 2018

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Effective Masses of Diquarks

Cited by 128 publications

References 30 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Hadron properties and Dyson–Schwinger equations

On Nucleon Electromagnetic Form Factors

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