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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 nucleon solution of the relativistic Faddeev equation as a function of density in the framework of a generalized Nambu-Jona-Lasinio model. We truncate the interacting two-body channels to the scalar diquark channel, the…

Nuclear Theory · Physics 2007-05-23 M. C. Birse , J. A. McGovern , S. Pepin , N. R. Walet

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

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as three-quark bound states, require a covariant treatment in the intermediate-energy regime where perturbative QCD is no longer applicable and where nonperturbative correlations dominate.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

In a Nambu-Jona-Lasinio model supplemented with an infrared cutoff in addition to the ultraviolet cutoff we study the issue whether diquarks are confined when the model is extended beyond the rainbow-ladder approximation. The gap equation,…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Hellstern , R. Alkofer , H. Reinhardt

Given the phenomenological success of the Nambu-Jona-Lasinio model in describing the meson physics in the low energy limit, it is tempting to find the fully relativistically structured nucleon solution in the same model under the similar…

High Energy Physics - Phenomenology · Physics 2008-11-26 Suzhou Huang , John Tjon

We study the description of nucleons and diquarks in the presence of a uniform strong magnetic field within the framework of the two-flavor Nambu-Jona--Lasinio (NJL) model. Diquarks are constructed through the resummation of quark loop…

High Energy Physics - Phenomenology · Physics 2020-11-25 M. Coppola , D. Gomez Dumm , N. N. Scoccola

In order to extract information on the strength of quark-quark correlations in the axial vector (a.v.) diquark channel ($J^P=1^+, T=1$), we analyze the quark light cone momentum distributions in the nucleon, in particular their flavor…

Nuclear Theory · Physics 2009-11-07 H. Mineo , W. Bentz , N. Ishii , K. Yazaki

Investigations of deconfined quark matter within NJL-type models are reviewed, focusing on the regime of low temperatures and ``moderate'' densities, which is not accessible by perturbative QCD. Central issue is the interplay between chiral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael Buballa

Spin-dependent and spin-independent quark light-cone momentum distributions and structure functions are calculated for the nucleon. We utilize a modified Nambu-Jona-Lasinio model in which confinement is simulated by eliminating unphysical…

High Energy Physics - Phenomenology · Physics 2010-02-17 I. C. Cloet , W. Bentz , A. W. Thomas

Nucleon form factors are calculated on q^2 in [0,3] GeV^2 using an Ansatz for the nucleon's Fadde'ev amplitude motivated by quark-diquark solutions of the relativistic Fadde'ev equation. Only the scalar diquark is retained, and it and the…

Nuclear Theory · Physics 2009-01-14 J. C. R. Bloch , C. D. Roberts , S. M. Schmidt , A. Bender , M. R. Frank

Faddeev-Yakubovski equations in configuration space are used to solve four nucleon problem for bound and scattering states. Different realistic interaction models are tested, elucidating open problems in nuclear interaction description. On…

Nuclear Theory · Physics 2009-11-11 R. Lazauskas , J. Carbonell

The Faddeev-Yakubowsky equations in configuration space have been solved for the four nucleon system. The results with an S-wave interaction model in the isospin approximation are presented. They concern the bound and scattering states…

Nuclear Theory · Physics 2008-11-26 F. Ciesielski , J. Carbonell

We give a brief account of the Dyson-Schwinger and Faddeev-equation approach and its application to nucleon resonances and their transition form factors. We compare the three-body with the quark-diquark approach and present a quark-diquark…

High Energy Physics - Phenomenology · Physics 2016-07-20 Gernot Eichmann

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

We briefly describe our relativistic quark-diquark model, developed within the framework of point form dynamics, which is the relativistic extension of the interacting quark-diquark model. In order to do that we have to show the main…

High Energy Physics - Phenomenology · Physics 2015-10-05 M. De Sanctis , J. Ferretti , E. Santopinto , A. Vassallo

Authors of Phys. Rev. C 60, 062201 (1999) presented a calculation of the electromagnetic form factors of the nucleon using a diquark ansatz in the relativistic three-quark Faddeev equations. In this Comment it is pointed out that the…

Nuclear Theory · Physics 2009-10-31 B. Blankleider , A. N. Kvinikhidze

Relativistic Faddeev equations for three-body scattering at arbitrary energies are solved in first order in the two-body transition operator in terms of momentum vectors without employing a partial wave decomposition. Relativistic…

Nuclear Theory · Physics 2007-10-02 Ch. Elster , T. Lin , W. N. Polyzou , W. Gloeckle

The treatment of confining interactions in non-relativistic three-quark systems is revised. Usually in the Faddeev equations the Faddeev components are coupled by the total potential. In the new treatment the Faddeev components are coupled…

High Energy Physics - Phenomenology · Physics 2009-10-31 Z. Papp

The three-nucleon bound state problem is studied employing a nucleon-nucleon potential obtained from a basic quark-quark interaction in a five-channel Faddeev calculation. The obtained triton binding energy is comparable to those predicted…

High Energy Physics - Phenomenology · Physics 2016-08-16 B. Juliá-Díaz , J. Haidenbauer , A. Valcarce , F. Fernández
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