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Related papers: Relativistic Three-Quark Bound States in Separable…

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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

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

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 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

Baryons, as three-quark bound states, require a covariant treatment in the intermediate-energy regime where perturbative QCD is no longer applicable and where nonperturbative correlations dominate. This article reformulates the content of…

High Energy Physics - Phenomenology · Physics 2026-05-04 Arpan Chatterjee , Stefan Groote

The description of baryons as fully relativistic bound states of quark and glue reduces to an effective Bethe-Salpeter equation with quark-exchange interaction when irreducible 3-quark interactions are neglected and separable 2-quark…

Nuclear Theory · Physics 2015-06-26 Martin Oettel , Mike Pichowsky , Lorenz von Smekal

We derive covariant baryon wave functions for arbitrary Lorentz boosts. Modeling baryons as quark-diquark systems, we reduce their manifestly covariant Bethe-Salpeter equation to a covariant 3-dimensional form by projecting on the relative…

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

Baryons are treated as three-quark systems using QCD degrees of freedom in Poincare-covariant bound-state equations. The quark self-energy as well as the interaction between quarks are approximated by a vector-vector interaction via a…

High Energy Physics - Phenomenology · Physics 2015-06-23 Reinhard Alkofer , Gernot Eichmann , Helios Sanchis-Alepuz , Richard Williams

We describe baryons as quark-diquark bound states at finite temperature and density within the NJL model for chiral symmetry breaking and restoration in quark matter. Based on a generalized Beth-Uhlenbeck approach to mesons and diquarks we…

Nuclear Theory · Physics 2021-01-19 D. Blaschke , A. Dubinin , D. Zablocki

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 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

The covariant Faddeev approach which describes baryons as relativistic three-quark bound states and is based on the Dyson-Schwinger and Bethe-Salpeter equations of QCD is briefly reviewed. All elements, including especially the baryons'…

High Energy Physics - Phenomenology · Physics 2018-08-01 Reinhard Alkofer , Christian S. Fischer , Helios Sanchis-Alepuz

This is the first of a series of three papers treating light baryon resonances (up to 3 GeV) within a relativistically covariant quark model based on the three-fermion Bethe-Salpeter equation with instantaneous two- and three-body forces.…

High Energy Physics - Phenomenology · Physics 2016-09-06 Ulrich Loering , Klaus Kretzschmar , Bernard Ch. Metsch , Herbert R. Petry

This is the third of a series of papers treating light baryon resonances up to 3 GeV within a relativistically covariant quark model based on the Bethe-Salpeter equation with instantaneous two- and three-body forces. In this last paper we…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ulrich Loering , Bernard Ch. Metsch , Herbert R. Petry

The work described in this paper is the first step toward a relativistic three-quark bound-state calculation using a Hamiltonian consistent with the Wigner-Bargmann theorem and macroscopic locality. We give an explicit demonstration that we…

High Energy Physics - Phenomenology · Physics 2010-03-04 H. -C. Jean , D. Robson , A. G. Williams

Treating the quark and diquark as elementary particles, the Bethe-Salpeter equation for the nucleon is solved numerically. The dependence of the mass on the diquark mass and on the coupling constants is investigated. The resulting…

Nuclear Theory · Physics 2009-10-28 H. Meyer

Mass spectra and wave functions of the $J^P=\frac{1}{2}^+$ $(bcq)$ baryons are calculated by the relativistic Bethe-Salpeter equation\,(BSE) with considering the mixing effects between the $1^+$ and $0^+$ $(bc)$-diquarks inside. Based on…

High Energy Physics - Phenomenology · Physics 2022-01-25 Qiang Li , Chao-Hsi Chang , Si-Xue Qin , Guo-Li Wang

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

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…

High Energy Physics - Phenomenology · Physics 2016-10-12 Gernot Eichmann , Helios Sanchis-Alepuz , Richard Williams , Reinhard Alkofer , Christian S. Fischer

The electroweak properties of nucleons and hyperons are calculated in a relativistic constituent quark model. The baryons are treated as three quark bound states, and the diagrams of perturbation theory are considered on the light front.…

High Energy Physics - Phenomenology · Physics 2009-09-25 Felix Schlumpf
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