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Related papers: Baryon properties and glueballs from Poincare-cova…

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We study baryons as three-body systems using the QCD degrees of freedom in the framework of covariant Bethe-Salpeter equations. The interaction among quarks is reduced to a vector-vector interaction via a single dressed-gluon exchange…

High Energy Physics - Phenomenology · Physics 2013-04-23 Helios Sanchis-Alepuz , Richard Williams , Reinhard Alkofer

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

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 include a generalized infinite class of quark-gluon vertex dressing diagrams in a study of how dynamics beyond the ladder-rainbow truncation influences the Bethe-Salpeter description of light quark pseudoscalar and vector mesons. The…

Nuclear Theory · Physics 2008-11-26 Hrayr H. Matevosyan , Anthony W. Thomas , Peter C. Tandy

This is the second 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. In…

High Energy Physics - Phenomenology · Physics 2010-04-06 Ulrich Loering , Bernard Ch. Metsch , Herbert R. Petry

On the basis of the three-particle Bethe-Salpeter equation we formulated a relativistic quark model for baryons. Assuming the propagators to be given by their free form with constituent quark masses and the interaction kernel by an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bernard Metsch , Ulrich Loering

In this thesis, the Dyson-Schwinger - Bethe-Salpeter formalism is investigated and used to study the meson spectrum at zero temperature, as well as the chiral phase transition in finite-temperature QCD. First, the application of…

High Energy Physics - Phenomenology · Physics 2011-06-27 Martina Blank

We study the three-quark ladder Bethe--Salpeter equation in Minkowski-space QCD$_2$ in the light-cone gauge. Using the quasi-potential expansion, we project the baryon equation onto the light front and show that, at leading order in the…

High Energy Physics - Phenomenology · Physics 2026-05-11 Satvir Kaur , Sreeraj Nair , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , J. P. B. C. de Melo , Tobias Frederico

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 combined Dyson-Schwinger--Bethe-Salpeter equations are employed at non-zero temperature. The truncations refer to a rainbow-ladder approximation augmented with an interaction kernel which facilitates a special temperature dependence. At…

Nuclear Theory · Physics 2019-05-01 S. M. Dorkin , L. P. Kaptari , B. Kämpfer

Employing an approach based on the Green functions of Landau-gauge QCD, some selected results from a calculation of meson and baryon properties are presented. A rainbow-ladder truncation to the quark Dyson-Schwinger equation is used to…

High Energy Physics - Phenomenology · Physics 2011-04-07 Reinhard Alkofer , Gernot Eichmann , Andreas Krassnigg , Diana Nicmorus

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

This thesis presents an investigation of meson and baryon properties in the framework of covariant bound-state equations based on the Dyson-Schwinger equations of QCD. Pion and rho-meson, diquark, nucleon and delta-baryon masses are…

High Energy Physics - Phenomenology · Physics 2009-09-07 Gernot Eichmann

The Bethe-Salpeter equation for a pseudoscalar bound-system, with i) a ladder kernel with massive gluons, ii) dynamically-dressed quark mass function and iii) an extended quark-gluon vertex, is solved in Minkowski space by using the…

High Energy Physics - Phenomenology · Physics 2023-05-23 A. Castro , W. de Paula , E. Ydrefors , T. Frederico , G. Salme

We calculate mass spectra of charmed baryons within a relativistically covariant quark model based on the Bethe-Salpeter-equation in instantaneous approximation. Interactions are given by a linearly rising three-body confinement potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sascha Migura , Dirk Merten , Bernard Metsch , Herbert-R. Petry

We present a practical method for the solution of the quark-gluon vertex for use in Bethe--Salpeter and Dyson--Schwinger calculations. The efficient decomposition into the necessary covariants is detailed, with the numerical algorithm…

High Energy Physics - Phenomenology · Physics 2015-06-11 Richard Williams

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

This work employs the approach based on the Bethe-Salpeter and Dyson-Schwinger equations to study the light meson spectrum. The Dyson-Schwinger equation of the quark propagator is truncated using the Maris-Tandy model for the dressed gluon…

High Energy Physics - Phenomenology · Physics 2025-11-05 Iqra Liaqat , Faisal Akram

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

The quark Dyson-Schwinger equation and meson Bethe-Salpeter equation are studied in a truncation scheme that extends the rainbow-ladder approximation such that, in the chiral limit, the isovector, pseudoscalar meson remains massless.…

Nuclear Theory · Physics 2010-03-04 A. Bender , C. D. Roberts , L. v. Smekal
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