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We review the results obtained in an Effective Hamiltonian (EH) approach for the three-quark systems. The EH is derived starting from the Feynman--Schwinger representation for the gauge-invariant Green function of the three quarks…

High Energy Physics - Phenomenology · Physics 2009-11-10 I. M. Narodetskii , M. A. Trusov

A hybrid model for baryons based on a dynamical interplay between relativistic three--quark bound states and soliton configurations of mesons is constructed. The Bethe-Salpeter equation for diquarks and the Faddeev equation for…

Nuclear Theory · Physics 2008-11-26 U. Zückert , R. Alkofer , H. Weigel , H. Reinhardt

The compact tetraquark states with fully heavy quark contents $QQ\bar Q\bar Q$ are studied as the bound states of the diquark-antidiquark within the Bethe-Salpeter framework. The (anti)diquark masses and form factors used are the same as we…

High Energy Physics - Phenomenology · Physics 2021-08-04 Qiang Li , Chao-Hsi Chang , Guo-Li Wang , Tianhong Wang

A continuum approach to the three valence-quark bound-state problem in quantum field theory is used to perform a comparative study of the four lightest $(I=1/2,J^P = 1/2^\pm)$ baryon isospin-doublets in order to elucidate their structural…

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

We use a symmetry-preserving truncation of meson and baryon bound-state equations in quantum field theory in order to develop a unified description of systems constituted from light- and heavy-quarks. In particular, we compute the spectrum…

Nuclear Theory · Physics 2018-06-20 Si-Xue Qin , Craig D. Roberts , Sebastian M. Schmidt

We investigate the light and heavy meson spectra in the context of the instantaneous approximation to the Bethe-Salpeter equation (Salpeter's equation). We use a static kernel consisting of a one-gluon-exchange component and a confining…

Nuclear Theory · Physics 2008-11-26 J. Parramore , H. -C. Jean , J. Piekarewicz

The projection onto the Light-Front of a Minkowski space Faddeev-Bethe-Salpeter equation model truncated at the valence level is applied to study the proton structure with constituent quarks. The dynamics of the model has built-in: (i) a…

High Energy Physics - Phenomenology · Physics 2023-02-22 Emanuel Ydrefors , Tobias Frederico

The Bethe-Salpeter equation for Wick-Cutkosky like models is solved in dressed ladder approximation. The bare vertex truncation of the Dyson-Schwinger equations for propagators is combined with the dressed ladder Bethe-Salpeter equation for…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vladimir Sauli , Jiri Adam

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 challenge to obtain from the Euclidean Bethe--Salpeter amplitude the amplitude in Minkowski is solved by resorting to un-Wick rotating the Euclidean homogeneous integral equation. The results obtained with this new practical method for…

High Energy Physics - Phenomenology · Physics 2019-10-02 A. Castro , E. Ydrefors , W. de Paula , T. Frederico , J. H. de Alvarenga Nogueira , P. Maris

The spectrum of baryons containing three b quarks is calculated in nonperturbative QCD, using the lattice regularization. The energies of ten excited bbb states with J^P = 1/2^+, 3/2^+, 5/2^+, 7/2^+, 1/2^-, and 3/2^- are determined with…

High Energy Physics - Lattice · Physics 2012-06-27 Stefan Meinel

The masses and decay constants of the light vector mesons $\rho/\omega$, $\phi$ and $K^\star$ are studied within a ladder-rainbow truncation of the coupled Dyson-Schwinger and Bethe-Salpeter equations of QCD with a model 2-point gluon…

Nuclear Theory · Physics 2009-10-31 Pieter Maris , Peter. C. Tandy

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

The light quark-antiquark scattering Green's function is considered near a meson resonance peak. The Bethe-Salpeter equation is used to write formal expressions for the resonance width/mass ratio. Arguments are made concerning to what…

High Energy Physics - Phenomenology · Physics 2008-02-03 Dean Lee

Accumulating evidence indicates that soft quark+quark (diquark) correlations play an important role in the structure and interactions of hadrons constituted from three or more valence-quarks; so, it is worth developing insights into diquark…

High Energy Physics - Phenomenology · Physics 2021-04-21 Ya Lu , Daniele Binosi , Minghui Ding , Craig D. Roberts , Hui-Yu Xing , Chang Xu

We compute masses of positive parity spin-$1/2$ and $3/2$ baryons composed of $u$, $d$, $s$, $c$ and $b$ quarks in a quark-diaquark picture. The mathematical foundation for this analysis is implemented through a symmetry-preserving…

Nuclear Theory · Physics 2019-12-25 L. X. Gutiérrez-Guerrero , Adnan Bashir , Marco A. Bedolla , E. Santopinto

We provide details on a recent solution of the nucleon's covariant Faddeev equation in an explicit three-quark approach. The full Poincare-covariant structure of the three-quark amplitude is implemented through an orthogonal basis obtained…

High Energy Physics - Phenomenology · Physics 2010-04-30 G. Eichmann , R. Alkofer , A. Krassnigg , D. Nicmorus

The mass spectrum of heavy pseudoscalar mesons, described as quark-antiquark bound systems, is considered within the Bethe-Salpeter formalism with momentum-dependent masses of the constituents. This dependence is found by solving the…

Nuclear Theory · Physics 2011-03-07 S. M. Dorkin , T. Hilger , L. P. Kaptari , B. Kaempfer

We discuss the light baryon spectrum obtained from a recent quark-diquark calculation, implementing non-pointlike diquarks that are self-consistently calculated from their Bethe-Salpeter equations. We examine the orbital angular momentum…

High Energy Physics - Phenomenology · Physics 2017-03-08 Gernot Eichmann