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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…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Oettel

Baryons are described as bound states of quarks and scalar as well as axialvector diquarks. In order to effectively parametrize confinement several {\it ansaetze} for the dressing functions of the constituent propagators are used. The…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. S. Fischer

Baryons are modeled as bound states of scalar or axialvector diquarks and a constituent quark which interact through quark exchange. This description results as an approximation to the relativistic Faddeev equation for three quarks. The…

Nuclear Theory · Physics 2008-11-26 R. Alkofer , S. Ahlig , C. Fischer , M. Oettel

In this thesis a model framework for describing baryons as diquark-quark bound states is presented which is formulated in an explicitly covariant manner. The relativistic bound state problem for three quarks is considered. Diquarks are…

Nuclear Theory · Physics 2007-05-23 Martin Oettel

The nucleon is described as a bound state of a quark and an extended diquark. Hereby the notion ``diquark'' refers to the modelling of separable correlations in the two-quark Green's functions. Binding of quarks and diquarks takes place via…

High Energy Physics - Phenomenology · Physics 2017-08-23 R. Alkofer , M. Oettel

In a covariant model where constituent quarks and diquarks interact through quark exchange, the Bethe-Salpeter equation in ladder approximation for octet and decuplet baryons is solved. Quark and diquark confinement is thereby effectively…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Hellstern , M. Oettel , R. Alkofer , H. Reinhardt

We treat baryons as bound states of scalar or axialvector diquarks and a constituent quark which interact through quark exchange. We obtain fully four-dimensional wave functions for both octet and decuplet baryons as solutions of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , S. Ahlig , C. Fischer , M. Oettel , H. Reinhardt

We treat baryons as bound states of scalar or axialvector diquarks and a constituent quark which interact through quark exchange. This description results as an approximation to the relativistic Faddeev equation for three quarks which…

Nuclear Theory · Physics 2009-10-31 M. Oettel , S. Ahlig , R. Alkofer , C. Fischer

Determinations of the gluon propagator in the continuum and in lattice simulations are compared. A systematic truncation procedure for the quark Dyson-Schwinger and bound state Bethe-Salpeter equations is described. The procedure ensures…

Nuclear Theory · Physics 2007-05-23 Craig D. Roberts

We introduce spin-1/2 baryons in the string+${}^3P_0$ model of hadronization, previously restricted to the production of pseudoscalar and vector mesons. Baryons are modeled as quark-diquark bound states and baryon production is described by…

High Energy Physics - Phenomenology · Physics 2025-07-10 Albi Kerbizi , Xavier Artru

Pion and kaon observables are calculated using a Dyson-Schwinger Bethe-Salpeter formalism. It is shown that an infrared finite gluon propagator can lead to quark confinement via generation of complex mass poles in quark propagators.…

High Energy Physics - Phenomenology · Physics 2009-10-30 Cetin Savkli , Frank Tabakin

The quark sector of Coulomb gauge quantum chromodynamics is considered within the functional integral approach. The quark contributions to the Dyson-Schwinger equations are derived and one-loop perturbative results for the two-point…

High Energy Physics - Phenomenology · Physics 2011-06-06 Carina Popovici

We derive covariant wave functions for hadrons composed of two constituents for arbitrary Lorentz boosts. Focussing explicitly on baryons as quark-diquark systems, we reduce their manifestly covariant Bethe-Salpeter equation to covariant…

Nuclear Theory · Physics 2007-05-23 M. Dillig

We study quark confinement by computing the Polyakov loop potential in Yang--Mills theory within different non-perturbative functional continuum approaches [1]. We extend previous studies in the formalism of the functional renormalisation…

High Energy Physics - Phenomenology · Physics 2013-02-07 Leonard Fister , Jan M. Pawlowski

The baryon octet and decuplet masses and Bethe-Salpeter vertex and wave functions are calculated in the ladder approximation to the quark exchange between a scalar or axialvector diquark and a constituent quark. These functions reflecting…

Nuclear Theory · Physics 2008-11-26 M. Oettel , G. Hellstern , R. Alkofer , H. Reinhardt

A perturbative QCD calculation of heavy flavor quark fragmentation into heavy flavor baryons is developed along the lines of corresponding heavy meson models. The non-perturbative formation of the baryon is accomplished by implementing the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Anatoly D. Adamov , Gary R. Goldstein

The baryon structure is investigated in a covariant diquark-quark model. In this approach baryons emerge as relativistic bound states of a constituent quark and a $0^{+}$ or $1^{+}$ diquark. After solving the Bethe-Salpeter Equation for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Hellstern , R. Baürle , U. Zückert , R. Alkofer , H. Reinhardt

The electromagnetic interaction with quarks is investigated through a relativistic, electromagnetic gauge-invariant treatment. Gluon dressing of the quark-photon vertex and the quark self-energy functions is described by the inhomogeneous…

Nuclear Theory · Physics 2009-09-25 Michael R. Frank

Exploiting an interplay of the Bethe-Salpeter equation enabling us to regard mesons as bound states of quark and antiquark and the Dyson-Schwinger equation controlling the dressed quark propagator, we amend existing studies of quarkonia by…

High Energy Physics - Phenomenology · Physics 2019-06-03 Thomas Hilger , María Gómez-Rocha , Andreas Krassnigg , Wolfgang Lucha

We investigate the chiral and the deconfinement transition within the framework of Dyson-Schwinger equations using quenched lattice data for the temperature dependent gluon propagator as input. We extract corresponding order parameters from…

High Energy Physics - Phenomenology · Physics 2010-11-02 Christian S. Fischer , Jens A. Mueller
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