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Related papers: Baryonic Bound States in the Non-Local NJL Model

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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

Baryons as relativistic bound states in 3-quark correlations are described by an effective Bethe-Salpeter equation when irreducible 3-quark interactions are neglected and separable 2-quark correlations are assumed. We present an efficient…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Oettel , L. von Smekal , R. Alkofer

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 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 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

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

For the Nambu--Jona--Lasinio (NJL) model in the proper time regularization scheme the chiral soliton is investigated for the case of three flavors within the framework of the bound state approach to strangeness. For this purpose meson…

High Energy Physics - Phenomenology · Physics 2009-09-25 H. Weigel , R. Alkofer , H. Reinhardt

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

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 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

The diquark and nucleon are studied in a non-local NJL model. We solve the relativistic Faddeev equation and compare the results with the ordinary NJL model. Although the model is quark confining, it is not diquark confining in the…

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

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

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

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 derive a Nambu--Jona-Lasinio (NJL) model from a non-local gauge theory and show that it has confining properties at low energies. In particular, we present an extended approach to non-local QCD and a complete revision of the technique of…

High Energy Physics - Phenomenology · Physics 2024-04-15 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote

A constituent quark model, which has recently been successfully applied to the study of heavy quarkonium properties such as its spectrum but also a diverse array of observables related with their electromagnetic, strong and weak decays and…

High Energy Physics - Phenomenology · Physics 2020-03-04 Gang Yang , Jialun Ping , Pablo G. Ortega , Jorge Segovia

It has been recently suggested the existence of a neutral bound state of two neutrons and a $\Lambda$ hyperon, $^3_\Lambda n$. We point out that using either simple separable potentials or a full-fledged calculation with realistic…

Nuclear Theory · Physics 2015-07-31 H. Garcilazo , A. Valcarce

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

We study the stability of the nuclear matter in a non-local Nambu-Jona-Lasinio model. We work out the equation of state in a relativistic Faddeev approach where we take into account the internal structure of nucleon. We show that the…

Nuclear Theory · Physics 2007-05-23 Amir H. Rezaeian , Hans-Juergen Pirner

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
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