Nucleon mass and pion loops
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.
Cite
@article{arxiv.nucl-th/0201084,
title = {Nucleon mass and pion loops},
author = {M. B. Hecht and M. Oettel and C. D. Roberts and S. M. Schmidt and P. C. Tandy and A. W. Thomas},
journal= {arXiv preprint arXiv:nucl-th/0201084},
year = {2010}
}
Comments
17 pages, 6 figures, REVTEX4