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Related papers: Nucleon mass and pion loops

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We report the first study of the nucleon where the full Poincare-covariant structure of the three-quark amplitude is implemented in the Faddeev equation. We employ an interaction kernel which is consistent with contemporary studies of meson…

High Energy Physics - Phenomenology · Physics 2014-07-24 G. Eichmann , R. Alkofer , A. Krassnigg , D. Nicmorus

A Poincare' covariant Faddeev equation, which describes baryons as composites of confined-quarks and -nonpointlike-diquarks, is solved to obtain masses and Faddeev amplitudes for the nucleon and Delta. The amplitudes are a component of a…

Nuclear Theory · Physics 2010-03-04 R. Alkofer , A. Hoell , M. Kloker , A. Krassnigg , C. D. Roberts

A Poincare' covariant Faddeev equation is presented, which enables the simultaneous prediction of meson and baryon observables using the leading-order in a truncation of the Dyson-Schwinger equations that can systematically be improved. The…

Nuclear Theory · Physics 2010-04-15 G. Eichmann , I. C. Cloet , R. Alkofer , A. Krassnigg , C. D. Roberts

Established results for the quark propagator in Landau gauge QCD, together with a detailed comparison to lattice data, are used to formulate a Poincare covariant Faddeev approach to the nucleon. The resultant three-quark amplitudes describe…

High Energy Physics - Phenomenology · Physics 2009-12-15 G. Eichmann , A. Krassnigg , M. Schwinzerl , R. Alkofer

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 present a calculation of the three-quark core contribution to the mass of the Delta-baryon in a Poincare-covariant Faddeev framework. A consistent setup for the dressed-quark propagator, the quark-quark and quark-diquark interactions is…

High Energy Physics - Phenomenology · Physics 2009-06-25 D. Nicmorus , G. Eichmann , A. Krassnigg , R. Alkofer

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

Electromagnetic form factors of the nucleon in the space-like region are investigated within the framework of a covariant and confining Nambu-Jona-Lasinio model. The bound state amplitude of the nucleon is obtained as the solution of a…

Nuclear Theory · Physics 2014-10-15 Ian C. Cloët , Wolfgang Bentz , Anthony W. Thomas

We compute the electromagnetic form factors of the nucleon in the Poincare-covariant Faddeev framework based on the Dyson-Schwinger equations of QCD. The general expression for a baryon's electromagnetic current in terms of three…

High Energy Physics - Phenomenology · Physics 2011-08-08 Gernot Eichmann

The mass of the nucleon is studied in a chiral quark-diquark model. Both scalar and axial-vector diquarks are taken into account for the construction of the nucleon state. After the hadronization procedure to obtain an effective…

High Energy Physics - Phenomenology · Physics 2014-11-18 K. Nagata , A. Hosaka , L. J. Abu-Raddad

We present the solution of the Poincare-covariant Faddeev equation for the Delta(1232) and Omega(1672) baryons. The covariant structure of the corresponding baryon amplitudes and their decomposition in terms of internal spin and orbital…

High Energy Physics - Phenomenology · Physics 2011-11-09 Helios Sanchis-Alepuz , Gernot Eichmann , Selym Villalba-Chavez , Reinhard Alkofer

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 examine the nucleon's electromagnetic form factors in a Poincare-covariant Faddeev framework. The three-quark core contributions to the form factors are obtained by employing a quark-diquark approximation. We implement the…

High Energy Physics - Phenomenology · Physics 2015-05-20 G. Eichmann , R. Alkofer , C. S. Fischer , A. Krassnigg , D. Nicmorus

We present a calculation of the three-quark core contribution to the mass of the Delta-baryon in a Poincare-covariant Faddeev framework. A consistent setup for the dressed-quark propagator, the quark-quark and quark-diquark interactions is…

High Energy Physics - Phenomenology · Physics 2009-11-06 D. Nicmorus , G. Eichmann , A. Krassnigg , R. Alkofer

A calculation of the current-quark-mass-dependence of nucleon static electromagnetic properties is necessary in order to use observational data as a means to place constraints on the variation of Nature's fundamental parameters. A Poincare'…

Nuclear Theory · Physics 2009-08-18 I. C. Cloet , G. Eichmann , V. V. Flambaum , C. D. Roberts , M. S. Bhagwat , A. Holl

In treating the relativistic three-quark problem, a dressed-quark propagator parameterization is used which is compatible with recent lattice data and pion observables. Furthermore two-quark correlations are modeled as a series of quark…

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

We investigate the possibility to describe nuclear matter in an approach constrained by the prominent features of quantum chromodynamics. We mapped the in-medium nucleon self-energies of a point coupling relativistic mean-field model on…

Nuclear Theory · Physics 2008-11-26 R. Huguet , J. C. Caillon , J. Labarsouque

We present a consistent calculation of half-off-shell form factors in the pion-nucleon vertex and the nucleon self-energy. Numerical results are presented. Near the on-shell point the pion-nucleon vertex is dominated by the pseudovector…

Nuclear Theory · Physics 2009-10-31 S. Kondratyuk , O. Scholten

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

We calculate the nucleon mass within a manifestly relativistic formulation of baryon chiral perturbation theory (BChPT), extending the framework to leading two-loop order ($\mathcal{O}(p^5)$). By employing dimensional counting analysis and…

High Energy Physics - Phenomenology · Physics 2025-08-05 Ze-Rui Liang , Han-Xue Chen , Feng-Kun Guo , Zhi-Hui Guo , De-Liang Yao
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