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The singlet Goldberger-Treiman relation and models for the proton's spin

Authors
Journal
Physics Letters B
0370-2693
Publisher
Elsevier
Publication Date
Volume
249
Issue
2
Identifiers
DOI: 10.1016/0370-2693(90)91258-d
Disciplines
  • Physics

Abstract

Abstract The approach used by Cohen and Banerjee to incorporate the effects of the U(1) A anomaly in soliton models leads to a flavour-singlet axial coupling which satisfies a Goldberger-Treiman relation connecting it to the η′N coupling. This is similar to the relation obtained by Efremov et al. assuming η′ and ghost dominance, as in large- N QCD. From this it is shown that the axial coupling calculated from the Cohen-Banerjee current should be identified with the net spin of the quarks in the proton. The usual U(1) axial current of the nonlinear σ model leads to a axial coupling which can be identified with that measured in polarised deep-inelastic scattering. Hence soliton models of this type can give a nonzero value for the net spin of the quarks, and still be consistent with the recent measurement by the EM Collaboration.

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