Goldberger–Treiman relation and from the three quark BS/Faddeev approach in the NJL model

2000/04/27 by Noriyoshi Ishii · 12 citations
Mathematics · Physics and Astronomy · #High-Energy Particle Collisions Research #Kernel (algebra) #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quark #Regularization (linguistics) #Relation (database) #nucl-th

paper · pdf · doi:10.1016/s0375-9474(00)00693-x

published in Nuclear Physics A 689(3-4), 793-845 (Elsevier BV) · 44 Pages, LaTeX2.09, 21 Figures in separate files

arxiv created 2000/04/27 · openalex publication_date 2001/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A systematic evaluation method of matrix elements of quantum one-body operators between nucleon states in the three-quark Bethe-Salpeter(3qBS)/Faddeev approach in the NJL model is reviewed. We do not confine ourselves to a particular truncation scheme of the 3qBS kernel. One of our main aims is to derive a general condition to be imposed on a given BS kernel in order that the PCAC relation is satisfied correctly. We apply this condition to some particular 3qBS kernels. We numerically calculate g_piNN in the 3qBS/Faddeev approach to estimate the violation of the Goldberger-Treiman/PCAC relation due to the UV-regularization scheme. We finally consider the non-vanishing current quark mass effects on the Goldberger-Treiman relation.

Citations

• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Octet and decuplet baryons in a covariant and confining diquark-quark model

Cited by

• Nucleon axial-vector and pseudoscalar form factors, and PCAC relations
• Quartet of spin-3/2baryons in the chiral multiplet(1,1/2)⊕(1/2,1)with mirror assignment