Delta and Omega masses in a three-quark covariant Faddeev approach

Sanchis-Alepuz, Hèlios; Eichmann, Gernot; Villalba-Chávez, Selym; Alkofer, Reinhard

doi:10.1103/physrevd.84.096003

Cited by 66 publications

(108 citation statements)

References 45 publications

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“…Such a course has already been exploited with some success in the calculations of Refs. [315][316][317]. The three-body irreducible kernel has been neglected in these works mainly for technical reasons; however, its leading-order topology of a three-gluon vertex connecting all three quarks vanishes to all orders in QCD as a result of the colour trace, and explicit calculations for light baryons of the non-perturbative next-to-leading contributions confirm the smallness of the term directly [239].…”

Section: Tetraquark Nomentioning

confidence: 97%

“…In the three-body Bethe-Salpeter calculations of Refs. [306,[315][316][317]] the same underlying effective interaction has been used but the assumption of diquark clustering inside baryons is absent. In the last two frameworks all parameters (the scale Λ and the current quark masses m u/d , m s ) are fixed in the meson sector (via f π , m π and m K ) and η = 1.8 is inside the interval where results are independent of η on the level below 5 MeV.…”

Section: Octet and Decuplet Baryonsmentioning

confidence: 99%

“…[315], with an extension in [306] where a remaining angular approximation in the Bethe-Salpeter amplitude was lifted to provide the full rainbow-ladder result without further approximations. Since then the methods have been applied to obtain the baryon octet and decuplet spectrum [316,317], with further applications to form factors and Compton scattering (to be discussed in Sec. 4 and 5).…”

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

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438

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: 97%

Section: Octet and Decuplet Baryonsmentioning

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

Self Cite

438

530

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show abstract

“…Analysis of the πN → 2πN reaction would therefore provide very important information about the resonance decay modes into different isobar final states. Presently lattice simulations [11,12] and functional approaches [13] succeeded in calculation of the spectrum of QCD. Therefore unambiguous identification of the excited spectrum of baryons would provide an important link between theory and experiment.…”

mentioning

confidence: 99%

2πproduction in the Giessen coupled-channels model

2016

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The coupled channels Lagrangian approach underlying the Giessen model (GiM) is extended to describe the πN → πN , 2πN scattering in the resonance energy region. As a feasibility study we investigate single and double pion production up to the second resonance region. The 2πN production has been significantly improved by using the isobar approximation with σN and π∆(1232) in the intermediate state. The three-body unitarity is maintained up to interference pattern between the isobar subchannels. The scattering amplitudes are obtained as a solution of the Bethe-Salpeter equation in the K matrix approximation. As a first application we perform a partial wave analysis of the πN → πN , π 0 π 0 N reactions in the Roper resonance region. We obtain R σN (1440) = 27 +4 −9 % and R π∆ (1440) = 12 +5 −3 % for the σN and π∆(1232) decay branching ratios of N * (1440) respectively. The extracted πN inelasticities and reaction amplitudes are consistent with the results from other groups.

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“…Presently, lattice simulations, e.g. [47,48], and functional approaches as in [49] are applied to approach the baryon spectrum from the QCD-side. However, despite considerable progress a number of open problems are persisting like the incorporation of the dispersive self-energies from the coupling of the QCD configurations to the meson-nucleon decay channels.…”

Section: Double-pion Production On the Nucleonmentioning

confidence: 99%

Coupled channels approach to photo-meson production on the nucleon

Lenske

2017

EPJ Web Conf.

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Abstract.The coupled channels Lagrangian approach of the Giessen model (GiM) for meson production on the nucleon is discussed and applied to a selected set of meson production channels on the nucleon, ranging from πN → πN and γN → πN, eta-production and associated strangeness production to 2πN channels in the resonance energy region. We present an updated coupled-channel analysis of eta-meson production including all recent photoproduction data on the proton. The dip structure observed in the differential cross sections at c.m. energies W=1.68 GeV is explained by destructive interference between the S 11 (1535) and S 11 (1560) states, not confirming the postulated sharp state. Kaon production on the nucleon is investigated in KΛ and KΣ exit channels. The approach to 2πN production has been significantly improved by using the isobar approximation with σN and πΔ 1232 intermediate states. Three-body unitarity is maintained up to interference between the isobar subchannels. We obtain R σN (1440) = 27 +4 −9 % and R πΔ (1440) = 12 +5 −3 % for the σN and πΔ 1232 decay branching ratios of N * (1440) respectively. The extracted πN inelasticities and reaction amplitudes are consistent with the results of other groups.

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Delta and Omega masses in a three-quark covariant Faddeev approach

Cited by 66 publications

References 45 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

2πproduction in the Giessen coupled-channels model

Coupled channels approach to photo-meson production on the nucleon

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