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arXiv:nucl-th/0201084·v1·Nuclear Theory

Nucleon mass and pion loops

M.B. Hecht🇺🇸 · M. Oettel🇦🇺 · C.D. Roberts🇺🇸 · S.M. Schmidt🇩🇪 · P.C. Tandy🇺🇸 · A.W.Thomas🇦🇺

Abstract

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.

Comments: 17 pages, 6 figures, REVTEX4

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