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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 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 describe heavy baryons as bound states of a quark and a diquark. For this purpose we derive the Faddeev equation for baryons containing a single heavy quark from a Nambu-Jona-Lasinio type of model which is appropriately extended to…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Ebert , T. Feldmann , C. Kettner , 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

We study the formation of baryons as composed of quarks and diquarks in hot and dense hadronic matter in a Nambu--Jona-Lasinio (NJL)--type model. We first solve the Dyson-Schwinger equation for the diquark propagator and then use this to…

Nuclear Theory · Physics 2015-05-19 Jin-cheng Wang , Qun Wang , Dirk H. Rischke

Electromagnetic properties of diquarks are investigated in the framework of a color-octet Nambu-Jona-Lasinio model, which describes baryons as bound states of diquarks and quarks. We calculate the electromagnetic form factors of scalar and…

High Energy Physics - Phenomenology · Physics 2009-09-25 C. Weiss , A. Buck , R. Alkofer , H. Reinhardt

The applicability of the effective models to the description of baryons and the behaviour of ratios of strange baryons to pions is discussed. In the framework of the EPNJL model, the Bethe - Salpeter equation is used to find masses of…

High Energy Physics - Phenomenology · Physics 2023-10-02 A. V. Friesen , Yu. L. Kalinovsky

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

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

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

Equation of state of baryon rich quark matter is studied within the SU(3) Nambu-Jona-Lasinio model with flavour mixing interaction. Possible bound states (strangelets) and chiral phase transitions in this matter are investigated at various…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. N. Mishustin , L. M. Satarov , H. Stoecker , W. Greiner

Nucleon form factors are calculated in a relativistic diquark--quark picture based on the Nambu--Jona-Lasinio model. The nucleon wave function is obtained in a static approximation to the quark exchange interaction between the valence quark…

High Energy Physics - Phenomenology · Physics 2016-09-01 G. Hellstern , C. Weiss

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 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 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

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 the Nambu--Jona-Lasinio (NJL-) model baryons are considered either as quark-diquark-composites or as soliton configurations of mesons. The construction of a hybrid model, which possesses a dynamical interplay between both pictures, is…

High Energy Physics - Phenomenology · Physics 2011-04-15 U. Zückert

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

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
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