Goldberger-Treiman relation and \(g_{\pi NN}\) from the three quark BS/Faddeev approach in the NJL model
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Publication:5935942
DOI10.1016/S0375-9474(00)00693-XzbMATH Open1097.81875arXivnucl-th/0004063OpenAlexW2079644309WikidataQ127481914 ScholiaQ127481914MaRDI QIDQ5935942
Author name not available (Why is that?)
Publication date: 1 July 2001
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/nucl-th/0004063
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