EPJ

2024 Impact factor 2.8
EPJ A - Hadrons and Nuclei
Hadrons and Nuclei
Eur. Phys. J. A 4, 327-328

Short Note

$\eta'{\rm q}\bar{{\rm q}}$ and $\eta'{\rm NN}$ vertex suppression in effective theories

D. Lehmann1

1 Institut für Theoretische Physik III, Universität Erlangen-Nürnberg, Staudtstrasse 7, D-91058 Erlangen, Germany, (e-mail: dirkleh@theorie3.physik.uni-erlangen.de)

Received: 8 January 1999 Communicated by W. Weise

Abstract
In an effective theory containing only quark degrees of freedom, such as the extended Nambu-Jona-Lasinio model, the influence of the axial anomaly can be incorporated by a self-interaction of the 't Hooft determinant type. I will show that despite the threshold problem related to the $\eta'$ meson this leads to a significant suppression of the $\eta'$ coupling $g_{\eta' {\rm q}\overline{{\rm q}}}$ to dynamical quarks which suggests a suppression of the $\eta'$NN vertex as compared to the $\eta$NN vertex.

PACS
13.75-n Hadron-induced low- and intermediate-energy reactions and scattering - 14.40.Cs Other mesons with S=C=0, mass < 2.5 GeV - 12.39-x Phenomenological quark models

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