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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

In the Nambu--Jona-Lasinio model baryons are either considered as quark-diquark-composites or the soliton configurations of the model are interpreted as baryons. As a first step towards constructing a hybrid model, which possesses a…

High Energy Physics - Phenomenology · Physics 2016-09-01 U. Zückert , R. Alkofer , H. Weigel , H. Reinhardt

We investigate the capabilities of the Nambu--Jona-Lasinio model to describe and reproduce fundamental vacuum properties of Quantum Chromodynamics, notably the hadronic spectrum. Mesons are described as quark-antiquark bound states at the…

High Energy Physics - Phenomenology · Physics 2023-04-19 Antoine Pfaff , Hubert Hansen , Juan M. Torres-Rincon , Joerg Aichelin

The Nambu--Jona-Lasinio model (NJL) is extended to incorporate heavy quark spin-symmetry. In this model baryons containing one heavy quark are analyzed as bound-states of light baryons, represented as chiral solitons, and mesons containing…

High Energy Physics - Phenomenology · Physics 2016-08-15 L. Gamberg , H. Weigel , U. Zückert , H. Reinhardt

Octet and Decuplet baryons are described within the hadronized NJL model as diquark--quark states, which are bound by quark exchange. Including scalar and axial--vector diquark correlations, we project the previously obtained relativistic…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Buck , H. Reinhardt

The octet and decuplet SU(3)f baryons are studied with the Polyakov, Nambu and Jona-Lasinio model, in a diquark-quark approach, via the resolution of the Bethe-Salpeter equation. This work includes estimations of their masses according to…

High Energy Physics - Phenomenology · Physics 2026-02-10 Eric Blanquier

We study the instabilities of quark matter in the framework of a generalized Nambu--Jona-Lasinio model, in order to explore possible competition between three-quark clustering to form nucleons and diquark formation leading to color…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephane Pepin , Michael C. Birse , Judith A. McGovern , Niels R. Walet

The soliton formation is considered in the Nambu-Jona-Lasinio model with local four quark interaction and various schemes to regularize the energy contribution of the polarized vacuum. No additional constraints are admitted in order to…

Nuclear Theory · Physics 2009-10-31 J. Providencia , H. Walliser , H. Weigel

Using an extended version of the Nambu-Jona-Lasinio model we build a simple description of the baryons as diquark-quark bound states. First, a description of the diquarks in a dense and hot medium is presented. Then, we introduce the…

Nuclear Theory · Physics 2016-09-08 F. Gastineau , J. Aichelin

The Nambu - Jona-Lasinio model in its SU(2) and SU(3) versions with scalar and pseudoscalar coupling are applied to baryons. The parameters of the model are fixed in the meson sector. The baryons arise as a soliton of three valence quarks…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chr. V. Christov

The description of baryons as chiral solitons of the Nambu--Jona--Lasinio (NJL) model is reviewed. A motivation for the soliton description of baryons is provided from large $N_C$ QCD. Rigorous results on the spontaneous breaking of chiral…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Alkofer , H. Reinhardt , H. Weigel

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 present review gives a survey of recent developments and applications of the Nambu--Jona-Lasinio model with $N_f=2$ and $N_f=3$ quark flavors for the structure of baryons. The model is an effective chiral quark theory which incorporates…

High Energy Physics - Phenomenology · Physics 2009-10-28 Chr. V. Christov , A. Blotz , H. -C. Kim , P. Pobylitsa , T. Watabe , Th. Meissner , E. Ruiz Arriola , K. Goeke

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

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

By considering baryons as clusters of three quarks, we extend the Nambu-Jona-Lasinio (NJL) model to describe baryonic matter, quark matter, and their transitions in a unified manner, where the Dirac sea and spontaneous chiral symmetry…

Nuclear Theory · Physics 2024-09-20 Cheng-Jun Xia

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 study the nucleon and diquarks in a non-local Nambu-Jona-Lasinio model. For certain parameters the model exhibits quark confinement, in the form of a propagator without real poles. After truncation of the two-body channels to the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-10 Amir H. Rezaeian , Niels R. Walet , Michael C. Birse

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
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