<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>and a light scalar meson

Bloch, Jacques; Ivanov, Mikhail A.; Mizutani, T.; Roberts, Craig D.; Schmidt, S.

doi:10.1103/physrevc.62.025206

Cited by 18 publications

(31 citation statements)

References 44 publications

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“…This enables us to calculate the spectrum not only of octet but also decuplet baryons [7]. Together with an ansatz for the quark-diquark bound state wave-function of the nucleon (Faddeev amplitude) such pole-free propagators have already been used to calculate nucleon form factors in the spacelike regime [8,9]. Unfortunately in this context the computation of the electro-weak form factors is not as simple as merely modifying the propagators.…”

Section: Introductionmentioning

confidence: 99%

Production processes as a tool to study parametrizations of quark confinement

et al. 2001

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We introduce diquarks as separable correlations in the two-quark Green's function to facilitate the description of baryons as relativistic three-quark bound states. These states then emerge as solutions of Bethe-Salpeter equations for quarks and diquarks that interact via quark exchange. When solving these equations we consider various dressing functions for the free quark and diquark propagators that prohibit the existence of corresponding asymptotic states and thus effectively parameterize confinement. We study the implications of qualitatively different dressing functions on the model predictions for the masses of the octet baryons as well as the electromagnetic and strong form factors of the nucleon. For different dressing functions we in particular compare the predictions for kaon photoproduction, γp → KΛ, and associated strangeness production, pp → pKΛ, with experimental data. This leads to conclusions on the permissibility of different dressing functions.

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Section: Introductionmentioning

confidence: 99%

Production processes as a tool to study parametrizations of quark confinement

et al. 2001

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“…(Bloch et al, 2000(Bloch et al, , 1999Hecht et al, 1999Hecht et al, , 2001Maris and Roberts, 2003), which express the momentum-dependence of the dressed-quark mass function that is evident in Fig. II.11, indicate that the high-x behavior should be (1 − x) 2+γ , with an anomalous dimension γ > 0.…”

Section: E the Pion Structure Functionmentioning

confidence: 99%

Nucleon and pion distribution functions in the valence region

2010

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We provide an experimental and theoretical perspective on the behavior of unpolarized distribution functions for the nucleon and pion on the valence-quark domain; namely, Bjorken-x > ∼ 0.4. This domain is key to much of hadron physics; e.g., a hadron is defined by its flavor content and that is a valence-quark property. Furthermore, its accurate parametrization is crucial to the provision of reliable input for large collider experiments. We focus on experimental extractions of distribution functions via electron and muon inelastic scattering, and from Drell-Yan interactions; and on theoretical treatments that emphasize an explanation of the distribution functions, providing an overview of major contemporary approaches and issues. Valence-quark physics is a compelling subject, which probes at the heart of our understanding of the Standard Model. There are numerous outstanding and unresolved challenges, which experiment and theory must confront. In connection with experiment, we explain that an upgraded Jefferson Lab facility is well-suited to provide new data on the nucleon, while a future electron ion collider could provide essential new data for the mesons. There is also great potential in using Drell-Yan interactions, at FNAL, J-PARC and GSI, to push into the large-x domain for both mesons and nucleons. We argue furthermore that explanation, in contrast to modeling and parametrization, requires a widespread acceptance of the need to adapt theory: to the lessons learnt already from the methods of nonperturbative quantum field theory; and a fuller exploitation of those methods. * Electronic address: holt@anl.gov † Electronic address: cdroberts@anl.gov

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“…In this scheme, the covariant diquark-quark model, see refs. [9][10][11][12][13][14][15][16], we obtain a tractable set of equations for the components of the covariant nucleon wave function which can be solved without non-relativistic reductions.…”

Section: Long Write-up 1 the Physical Problemmentioning

confidence: 99%

Relativistic three-quark bound states in separable two-quark approximation

Oettel

Smekal

Alkofer

2002

Computer Physics Communications

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Baryons as relativistic bound states in 3-quark correlations are described by an effective Bethe-Salpeter equation when irreducible 3-quark interactions are neglected and separable 2-quark correlations are assumed. We present an efficient numerical method to calculate the nucleon mass and its covariant wave function in this quantum field theoretic quark-diquark model with quark-exchange interaction. Expanding the components of the spinorial wave function in terms of Chebyshev polynomials, the four-dimensional integral equations are in a first step reduced to a coupled set of one-dimensional ones. This set of linear and homogeneous equations defines a generalised eigenvalue problem. Representing the eigenvector corresponding to the largest eigenvalue, the Chebyshev moments are then obtained by iteration. The nucleon mass is implicitly determined by the eigenvalue, and its covariant wave function is reconstructed from the moments within the Chebyshev approximation.

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K→ππand a light scalar meson

Abstract: Pacs Numbers: 13.20.Eb, 13.30.Eg, 12.15.Hh, 24.85.+p) We explore the ∆I =

Cited by 18 publications

References 44 publications

Production processes as a tool to study parametrizations of quark confinement

Production processes as a tool to study parametrizations of quark confinement

Nucleon and pion distribution functions in the valence region

Relativistic three-quark bound states in separable two-quark approximation

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