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arxiv: nucl-th/0201084 · v1 · submitted 2002-01-30 · ⚛️ nucl-th · hep-lat· hep-ph· nucl-ex

Nucleon mass and pion loops

classification ⚛️ nucl-th hep-lathep-phnucl-ex
keywords nucleonmassfaddeevself-energyalteranalysedaxial-vectorbaryons
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Poincare' covariant Faddeev equations for the nucleon and Delta are solved to illustrate that an internally consistent description in terms of confined-quark and nonpointlike confined-diquark-correlations can be obtained. pi N-loop induced self-energy corrections to the nucleon's mass are analysed and shown to be independent of whether a pseudoscalar or pseudovector coupling is used. Phenomenological constraints suggest that this self-energy correction reduces the nucleon's mass by up to several hundred MeV. That effect does not qualitatively alter the picture, suggested by the Faddeev equation, that baryons are quark-diquark composites. However, neglecting the pi-loops leads to a quantitative overestimate of the nucleon's axial-vector diquark component.

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