Relativistic quark models of baryons with instantaneous forces

Löring, U.; Kretzschmar, K.; Metsch, B.; Petry, Herbert R.

doi:10.1007/s100500170117

Cited by 144 publications

(200 citation statements)

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“…In addition, the instanton induced two-body interaction has been claimed to generate the low mass of the Roper resonance. On the other hand, the level ordering between the positive and negative parity nucleon states remains inverted as compared to experiment, the Λ(1405) with J P = 1 /2 − remains a problem and several states in the ∆-spectrum are problematic [132][133][134]. A phenomenological extension to the potentials used in [132][133][134] with ten additional parameters improved the situation but did not resolve all issues [336].…”

Section: Approximations and Truncationsmentioning

confidence: 99%

“…Relativistic corrections to interquark potentials have been provided in Refs. [18,128,129], whilst attempts at formulating a covariant picture have been made for mesons [130,131] and baryons [132][133][134].…”

Section: The Quark Modelmentioning

confidence: 99%

“…Ref. [132] for a detailed and pedagogical discussion. Let us start with mesons and introduce the quark four-point function G αβ,δγ , the analogue of the six-point function of (3.25), as illustrated in Fig.…”

Section: Bound-state Equationsmentioning

confidence: 99%

“…A study of the reliability of this type of approximation can be found in [335]. In addition to the reduction, the fully dressed quark propagators of the internal constituents are replaced by their tree-level counterparts which, instead of the current quarks in the Lagrangian, depend on large constituent-quark masses as model parameters [130,[132][133][134]336]. The purpose of such a scheme is twofold.…”

Section: Approximations and Truncationsmentioning

confidence: 99%

“…On the one hand one tries to make contact with non-relativistic quark models, while on the other hand one may hope to capture essential QCD dynamics in the details of the interaction potentials. To this end, the three-body part is chosen to represent a potential linearly rising with distance and the two-body parts are derived using an effective instanton induced interaction vertex between quarks, see [132] for details.…”

Section: Approximations and Truncationsmentioning

confidence: 99%

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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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