The extended Nambu-Jona-Lasinio model with separable interaction: Low energy pion physics and pion-nucleon form factor

Electromagnetic Form Factors of Nucleons in a Relativistic Three-Quark Model

“…We consider the hadron as being a bound state of relativistic constituent quarks with masses m q 20,21]. The transition of hadrons into constituent quarks and vice versa is described by the corresponding interaction Lagrangian, and the momentum distribution of the constituents by an e ective relativistic vertex function.…”

“…To introduce the electromagnetic eld into the nonlocal nucleon-quark Lagrangian (1), we will use the time-ordering P-exponential 20,21]. The interaction of quarks with the electromagnetic eld is introduced by the standard minimal substitution.…”

“…Many successful applications of such models for low-energy pion physics exist (see, e.g., 14,15] and references therein). In 20,21] the Lagrangian formulation of the NJL model with separable interaction has been given both for mesons and (for the rst time) for baryons. The gauging of nonlocal interactions has been done by using the time-ordering P-exponent.…”

Choice of heavy baryon currents in the relativistic three-quark model

“…In the papers [14][15][16]18,[30][31][32][33] we proposed and developed a QCD motivated relativistic three-quark model (RTQM), which can be viewed as an effective quantum field approach based on an interaction Lagrangian of light and heavy baryons interacting with their constituent quarks. The coupling strengths of the baryons interacting with the three constituent quarks are determined by the compositeness condition Z H = 0 [31,34] where Z H is the wave function renormalization constant of the hadron.…”

“…The objective of this paper is to continue the analysis of heavy baryon transitions within the RTQM [14][15][16][17][18][30][31][32][33]. In particular we shall investigate the dependence of heavy baryon observables calculated in the RTQM on the choice of three-quark baryon currents.…”