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Nucleon solution of the Faddeev equation in the Nambu–Jona-Lasinio model

1993/08/30 by Suzhou Huang, J. A. Tjon, John Tjon · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.49.1702

published as Phys.Rev.C49:1702-1708,1994 · 18 pages

arxiv created 1993/08/30 · openalex publication_date 1994/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 approximation employed in the mesonic sector. To achieve this goal we need to solve a relativistic Faddeev equation. The factorizability of the two-body T matrix induces the three-body Faddeev equation to a tractable two-body Bethe-Salpeter equation. The reduced equation is then solved numerically. Our result indicates that the nucleon consists of three loosely bound constituent quarks.

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